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
[ 472, 1216, 1147, 478, 630, 13957, 27557, 427, 411, 625, 3656, 470, 18675, 1545, 8231, 4137, 472, 1041, 1520, 18, 510, 26078, 1070, 46999, 1970, 10243, 567, 2992, 11053, 2299, 4016, 3990, 16, 289, 4722, 46999, 356, 13155, 271, 282, 3695, 1808, 1533, 1879, 4518, 3990, 16, 2657, 343, 46999, 1970, 1611, 2829, 334, 4478, 12944, 33335, 12457, 421, 15997, 16, 371, 803, 5487, 46194, 318, 13155, 1166, 477, 19226, 1565, 317, 3042, 761, 1141, 2000, 1275, 1279, 6517, 11581, 334, 22623, 18, 17935, 46194, 318, 9600, 12357, 3191, 758, 16, 18879, 1164, 282, 29183, 13680, 382, 19323, 32243, 1453, 31896, 2855, 45492, 861, 1787, 5743, 6053, 478, 4670, 3376, 470, 282, 24346, 898, 44593, 491, 10335, 2204, 5534, 9657, 16, 19670, 11629, 18133, 289, 25926, 8081, 47866, 8306, 419, 18, 985, 9789, 411, 13418, 427, 472, 1041, 3949, 16, 282, 11500, 9772, 4121, 553, 48385, 1939, 1061, 6654, 1135, 411, 19984, 2339, 294, 1141, 310, 954, 3405, 816, 6475, 473, 7944, 10952, 5041, 4481, 814, 385, 3859, 2339, 28602, 289, 867, 3818, 8945, 5019, 1486, 427, 360, 32981, 1166, 282, 23445, 18116, 18, 1598, 27496, 1141, 12784, 1715, 9817, 4500, 18, 1135, 16, 411, 18155, 651, 2734, 1033, 13323, 4500, 18, 14998, 1465, 19984, 2339, 387, 2945, 582, 1512, 2687, 751, 16062, 3334, 421, 15997, 309, 5137, 6646, 432, 4760, 289, 48684, 48163, 17737, 18, 999, 22490, 282, 9044, 478, 13674, 20994, 910, 478, 296, 1191, 7219, 910, 478, 35923, 523, 470, 289, 11443, 478, 1431, 1798, 10600, 21972, 14621, 470, 33765, 873, 16, 25523, 460, 16, 45508, 873, 16, 48267, 16, 41446, 1013, 16, 5251, 318, 289, 7190, 1888, 9768, 1727, 9748, 282, 15842, 16, 36970, 5167, 16, 34445, 6298, 16, 20848, 6298, 16, 33358, 16, 15247, 778, 2743, 16, 20964, 2127, 16, 16473, 2127, 16, 12174, 2127, 289, 14652, 2127, 1767, 16, 988, 349, 2872, 7154, 2195, 38171, 30653, 13587, 18, 15435, 6286, 6728, 322, 6984, 3018, 6273, 309, 20017, 519, 3915, 1354, 18, 38169, 3400, 1141, 1822, 432, 411, 3437, 371, 8262, 1846, 933, 26757, 282, 2849, 2706, 17, 6862, 3990, 21220, 779, 26844, 31932, 1409, 11842, 1135, 18, 1178, 9611, 49800, 19361, 8231, 472, 1041, 3949, 16, 478, 1961, 17743, 14142, 1141, 2000, 1275, 282, 46194, 318, 4586, 7229, 9093, 289, 1611, 811, 309, 9185, 664, 339, 355, 432, 8068, 3209, 861, 478, 732, 597, 7133, 1141, 2000, 1275, 371, 966, 862, 43118, 289, 282, 4301, 3343, 16, 30116, 7910, 2206, 18, 2046, 1817, 4481, 289, 7053, 3209, 16, 2805, 411, 15040, 1801, 5122, 16, 3500, 1166, 281, 3872, 13373, 5966, 18982, 304, 670, 4521, 749, 453, 4593, 910, 510, 8846, 1122, 575, 18, 4055, 3990, 309, 7020, 13224, 332, 685, 10750, 1390, 41768, 1949, 664, 2000, 1275, 18, 40796, 3225, 32042, 334, 28637, 39537, 16, 2992, 21396, 651, 541, 46620, 33639, 613, 898, 24732, 2204, 6676, 7272, 18, 365, 5329, 16, 349, 2849, 6053, 281, 2706, 334, 4518, 3990, 21220, 779, 16, 428, 3014, 411, 35338, 472, 1041, 3949, 16, 478, 267, 956, 2794, 17963, 11758, 7431, 289, 36156, 39336, 34320, 322, 639, 16, 2686, 6984, 1756, 1817, 39336, 17198, 289, 24278, 2324, 434, 9766, 861, 439, 1215, 428, 290, 4542, 6053, 12197, 10955, 44319, 9246, 1552, 3875, 33742, 18029, 1388, 272, 5037, 8231, 11986, 14054, 680, 26973, 39540, 625, 2311, 266, 30, 478, 983, 18296, 274, 22885, 6033, 1131, 16807, 2822, 282, 6053, 5874, 3150, 6331, 313, 680, 11469, 680, 5308, 8231, 20066, 43664, 1982, 639, 10908, 9069, 4154, 3732, 15481, 12348, 429, 6699, 14733, 14776, 1035, 18, 365, 2083, 16, 785, 492, 35249, 9234, 2926, 478, 43420, 8216, 271, 748, 910, 10254, 43664, 1594, 1142, 11956, 20323, 505, 445, 2830, 364, 16, 322, 3465, 3775, 22617, 5472, 18, 365, 17618, 27021, 291, 44795, 8231, 16, 8278, 8309, 16610, 334, 27469, 11758, 7431, 16, 282, 4666, 14055, 28349, 898, 28384, 309, 5595, 289, 282, 22587, 29183, 16598, 448, 3247, 16, 961, 371, 34925, 5823, 3097, 21481, 360, 1141, 49459, 18, 640, 9185, 34059, 329, 813, 9261, 19914, 942, 49943, 16, 374, 290, 36724, 6053, 10359, 16, 2628, 16, 45505, 289, 3888, 8811, 421, 15997, 18, 889, 13748, 294, 2222, 16, 374, 15849, 10416, 2082, 18, 2681, 2846, 46194, 324, 1474, 1323, 15371, 13296, 282, 3178, 9909, 1011, 2742, 6053, 861, 8919, 290, 502, 4267, 13399, 12343, 282, 22604, 5702, 12373, 2324, 536, 18, 824, 25036, 15597, 38192, 16, 27782, 9772, 4121, 1437, 282, 11355, 17, 1618, 3324, 6206, 2458, 2734, 1033, 1488, 4500, 18, 1135, 18, 11333, 7386, 7723, 294, 764, 1033, 20641, 5966, 5866, 2381, 651, 360, 1912, 519, 1760, 9, 1209, 31896, 1275, 18, 365, 23725, 1045, 7801, 764, 2197, 9772, 4121, 783, 411, 27496, 16, 785, 1141, 310, 954, 48385, 3703, 4500, 18, 8916, 523, 289, 7032, 697, 4481, 18, 365, 3198, 48382, 2559, 16190, 5439, 17359, 36591, 2160, 27305, 274, 282, 31212, 9068, 294, 8151, 13787, 17, 292, 5521, 3716, 906, 5295, 798, 309, 1003, 18, 43875, 13213, 6728, 22341, 5684, 2678, 6273, 294, 24851, 3208, 2514, 32969, 1011, 2454, 1734, 19403, 323, 21064, 456, 3259, 744, 7618, 36712, 18, 2, 1, 87, 1456, 81, 2448, 30, 14237, 1502, 1703, 25567, 519, 4319, 1326, 322, 3225, 3118, 14202, 27118, 35976, 282, 27357, 2557, 289, 17618, 18228, 1011, 42029, 12677, 329, 12672, 15789, 18, 999, 1272, 779, 11220, 46571, 309, 2303, 15184, 263, 424, 38773, 39749, 1559, 3453, 22128, 34656, 7733, 1069, 2206, 3806, 43853, 2794, 6114, 1279, 14561, 17213, 18, 9046, 746, 15581, 17344, 20839, 381, 8928, 763, 15852, 4830, 3495, 24211, 35251, 16, 6881, 14697, 18, 31224, 30, 677, 31741, 12937, 27357, 820, 289, 282, 17618, 13450, 933, 18228, 282, 11946, 11364, 2829, 4674, 413, 35699, 18, 42775, 613, 8144, 289, 722, 32803, 15165, 19255, 567, 29759, 282, 3198, 42029, 12677, 16, 2597, 39311, 2822, 10552, 5426, 11181, 360, 12672, 15789, 18, 365, 3266, 1212, 5214, 8363, 289, 5319, 282, 27357, 2557, 16, 281, 3279, 3225, 20607, 478, 46088, 18, 8381, 910, 23051, 16, 374, 4674, 413, 35699, 282, 31741, 12937, 2001, 4522, 2773, 18, 23654, 8144, 34856, 282, 41418, 44369, 18, 985, 38802, 10786, 5792, 16, 23659, 9389, 1166, 2303, 15184, 16, 3149, 8694, 294, 10095, 10774, 4699, 424, 9527, 27357, 820, 18, 4798, 27118, 19322, 6933, 289, 1272, 8485, 3728, 13624, 2001, 309, 16955, 23342, 434, 5420, 510, 11986, 333, 746, 289, 14879, 21186 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 472, 1216, 1147, 478, 630, 13957, 27557, 427, 411, 625, 3656, 470, 18675, 1545, 8231, 4137, 472, 1041, 1520, 18, 510, 26078, 1070, 46999, 1970, 10243, 567, 2992, 11053, 2299, 4016, 3990, 16, 289, 4722, 46999, 356, 13155, 271, 282, 3695, 1808, 1533, 1879, 4518, 3990, 16, 2657, 343, 46999, 1970, 1611, 2829, 334, 4478, 12944, 33335, 12457, 421, 15997, 16, 371, 803, 5487, 46194, 318, 13155, 1166, 477, 19226, 1565, 317, 3042, 761, 1141, 2000, 1275, 1279, 6517, 11581, 334, 22623, 18, 17935, 46194, 318, 9600, 12357, 3191, 758, 16, 18879, 1164, 282, 29183, 13680, 382, 19323, 32243, 1453, 31896, 2855, 45492, 861, 1787, 5743, 6053, 478, 4670, 3376, 470, 282, 24346, 898, 44593, 491, 10335, 2204, 5534, 9657, 16, 19670, 11629, 18133, 289, 25926, 8081, 47866, 8306, 419, 18, 985, 9789, 411, 13418, 427, 472, 1041, 3949, 16, 282, 11500, 9772, 4121, 553, 48385, 1939, 1061, 6654, 1135, 411, 19984, 2339, 294, 1141, 310, 954, 3405, 816, 6475, 473, 7944, 10952, 5041, 4481, 814, 385, 3859, 2339, 28602, 289, 867, 3818, 8945, 5019, 1486, 427, 360, 32981, 1166, 282, 23445, 18116, 18, 1598, 27496, 1141, 12784, 1715, 9817, 4500, 18, 1135, 16, 411, 18155, 651, 2734, 1033, 13323, 4500, 18, 14998, 1465, 19984, 2339, 387, 2945, 582, 1512, 2687, 751, 16062, 3334, 421, 15997, 309, 5137, 6646, 432, 4760, 289, 48684, 48163, 17737, 18, 999, 22490, 282, 9044, 478, 13674, 20994, 910, 478, 296, 1191, 7219, 910, 478, 35923, 523, 470, 289, 11443, 478, 1431, 1798, 10600, 21972, 14621, 470, 33765, 873, 16, 25523, 460, 16, 45508, 873, 16, 48267, 16, 41446, 1013, 16, 5251, 318, 289, 7190, 1888, 9768, 1727, 9748, 282, 15842, 16, 36970, 5167, 16, 34445, 6298, 16, 20848, 6298, 16, 33358, 16, 15247, 778, 2743, 16, 20964, 2127, 16, 16473, 2127, 16, 12174, 2127, 289, 14652, 2127, 1767, 16, 988, 349, 2872, 7154, 2195, 38171, 30653, 13587, 18, 15435, 6286, 6728, 322, 6984, 3018, 6273, 309, 20017, 519, 3915, 1354, 18, 38169, 3400, 1141, 1822, 432, 411, 3437, 371, 8262, 1846, 933, 26757, 282, 2849, 2706, 17, 6862, 3990, 21220, 779, 26844, 31932, 1409, 11842, 1135, 18, 1178, 9611, 49800, 19361, 8231, 472, 1041, 3949, 16, 478, 1961, 17743, 14142, 1141, 2000, 1275, 282, 46194, 318, 4586, 7229, 9093, 289, 1611, 811, 309, 9185, 664, 339, 355, 432, 8068, 3209, 861, 478, 732, 597, 7133, 1141, 2000, 1275, 371, 966, 862, 43118, 289, 282, 4301, 3343, 16, 30116, 7910, 2206, 18, 2046, 1817, 4481, 289, 7053, 3209, 16, 2805, 411, 15040, 1801, 5122, 16, 3500, 1166, 281, 3872, 13373, 5966, 18982, 304, 670, 4521, 749, 453, 4593, 910, 510, 8846, 1122, 575, 18, 4055, 3990, 309, 7020, 13224, 332, 685, 10750, 1390, 41768, 1949, 664, 2000, 1275, 18, 40796, 3225, 32042, 334, 28637, 39537, 16, 2992, 21396, 651, 541, 46620, 33639, 613, 898, 24732, 2204, 6676, 7272, 18, 365, 5329, 16, 349, 2849, 6053, 281, 2706, 334, 4518, 3990, 21220, 779, 16, 428, 3014, 411, 35338, 472, 1041, 3949, 16, 478, 267, 956, 2794, 17963, 11758, 7431, 289, 36156, 39336, 34320, 322, 639, 16, 2686, 6984, 1756, 1817, 39336, 17198, 289, 24278, 2324, 434, 9766, 861, 439, 1215, 428, 290, 4542, 6053, 12197, 10955, 44319, 9246, 1552, 3875, 33742, 18029, 1388, 272, 5037, 8231, 11986, 14054, 680, 26973, 39540, 625, 2311, 266, 30, 478, 983, 18296, 274, 22885, 6033, 1131, 16807, 2822, 282, 6053, 5874, 3150, 6331, 313, 680, 11469, 680, 5308, 8231, 20066, 43664, 1982, 639, 10908, 9069, 4154, 3732, 15481, 12348, 429, 6699, 14733, 14776, 1035, 18, 365, 2083, 16, 785, 492, 35249, 9234, 2926, 478, 43420, 8216, 271, 748, 910, 10254, 43664, 1594, 1142, 11956, 20323, 505, 445, 2830, 364, 16, 322, 3465, 3775, 22617, 5472, 18, 365, 17618, 27021, 291, 44795, 8231, 16, 8278, 8309, 16610, 334, 27469, 11758, 7431, 16, 282, 4666, 14055, 28349, 898, 28384, 309, 5595, 289, 282, 22587, 29183, 16598, 448, 3247, 16, 961, 371, 34925, 5823, 3097, 21481, 360, 1141, 49459, 18, 640, 9185, 34059, 329, 813, 9261, 19914, 942, 49943, 16, 374, 290, 36724, 6053, 10359, 16, 2628, 16, 45505, 289, 3888, 8811, 421, 15997, 18, 889, 13748, 294, 2222, 16, 374, 15849, 10416, 2082, 18, 2681, 2846, 46194, 324, 1474, 1323, 15371, 13296, 282, 3178, 9909, 1011, 2742, 6053, 861, 8919, 290, 502, 4267, 13399, 12343, 282, 22604, 5702, 12373, 2324, 536, 18, 824, 25036, 15597, 38192, 16, 27782, 9772, 4121, 1437, 282, 11355, 17, 1618, 3324, 6206, 2458, 2734, 1033, 1488, 4500, 18, 1135, 18, 11333, 7386, 7723, 294, 764, 1033, 20641, 5966, 5866, 2381, 651, 360, 1912, 519, 1760, 9, 1209, 31896, 1275, 18, 365, 23725, 1045, 7801, 764, 2197, 9772, 4121, 783, 411, 27496, 16, 785, 1141, 310, 954, 48385, 3703, 4500, 18, 8916, 523, 289, 7032, 697, 4481, 18, 365, 3198, 48382, 2559, 16190, 5439, 17359, 36591, 2160, 27305, 274, 282, 31212, 9068, 294, 8151, 13787, 17, 292, 5521, 3716, 906, 5295, 798, 309, 1003, 18, 43875, 13213, 6728, 22341, 5684, 2678, 6273, 294, 24851, 3208, 2514, 32969, 1011, 2454, 1734, 19403, 323, 21064, 456, 3259, 744, 7618, 36712, 18, 2, 1, 87, 1456, 81, 2448, 30, 14237, 1502, 1703, 25567, 519, 4319, 1326, 322, 3225, 3118, 14202, 27118, 35976, 282, 27357, 2557, 289, 17618, 18228, 1011, 42029, 12677, 329, 12672, 15789, 18, 999, 1272, 779, 11220, 46571, 309, 2303, 15184, 263, 424, 38773, 39749, 1559, 3453, 22128, 34656, 7733, 1069, 2206, 3806, 43853, 2794, 6114, 1279, 14561, 17213, 18, 9046, 746, 15581, 17344, 20839, 381, 8928, 763, 15852, 4830, 3495, 24211, 35251, 16, 6881, 14697, 18, 31224, 30, 677, 31741, 12937, 27357, 820, 289, 282, 17618, 13450, 933, 18228, 282, 11946, 11364, 2829, 4674, 413, 35699, 18, 42775, 613, 8144, 289, 722, 32803, 15165, 19255, 567, 29759, 282, 3198, 42029, 12677, 16, 2597, 39311, 2822, 10552, 5426, 11181, 360, 12672, 15789, 18, 365, 3266, 1212, 5214, 8363, 289, 5319, 282, 27357, 2557, 16, 281, 3279, 3225, 20607, 478, 46088, 18, 8381, 910, 23051, 16, 374, 4674, 413, 35699, 282, 31741, 12937, 2001, 4522, 2773, 18, 23654, 8144, 34856, 282, 41418, 44369, 18, 985, 38802, 10786, 5792, 16, 23659, 9389, 1166, 2303, 15184, 16, 3149, 8694, 294, 10095, 10774, 4699, 424, 9527, 27357, 820, 18, 4798, 27118, 19322, 6933, 289, 1272, 8485, 3728, 13624, 2001, 309, 16955, 23342, 434, 5420, 510, 11986, 333, 746, 289, 14879, 21186 ]
[ 18, 824, 3163, 37829, 16, 1833, 1011, 12677, 282, 3948, 15789, 12543, 22933, 7021, 3800, 510, 23659, 10073, 41842, 282, 27357, 328, 18, 985, 18479, 13450, 1133, 2891, 16, 282, 4542, 44121, 553, 2713, 3991, 36197, 3225, 13015, 29771, 770, 15581, 16, 961, 26308, 309, 8436, 282, 2580, 46782, 18, 365, 7842, 12937, 2553, 27118, 35976, 4522, 530, 282, 3178, 11281, 3139, 16, 15488, 764, 282, 3765, 477, 10026, 309, 11946, 8099, 15780, 297, 13755, 8144, 459, 429, 347, 768, 1134, 267, 18, 478, 4408, 566, 382, 22509, 11364, 1886, 6330, 16, 334, 3538, 3775, 18, 640, 2468, 12677, 3237, 8107, 18, 1937, 505, 9553, 12780, 3490, 16, 840, 4522, 2773, 4674, 413, 35699, 910, 510, 22618, 492, 18, 365, 4675, 808, 8876, 14888, 5204, 2795, 8534, 12677, 16, 3110, 13450, 1880, 36992, 1511, 14768, 662, 385, 4742, 618, 18, 9668, 25656, 416, 3320, 478, 14237, 43931, 5482, 29201, 349, 33537, 835, 1631, 470, 44843, 5714, 2429, 22220, 1496, 8566, 49405, 478, 460, 22407, 29620, 416, 289, 8522, 34656, 7733, 2204, 2206, 861, 478, 563, 19444, 282, 4008, 46211, 848, 8087, 4618, 16, 374, 4748, 17877, 41693, 42051, 33994, 289, 2697, 322, 5370, 290, 46090, 18, 13028, 599, 343, 487, 282, 27357, 2557, 11540, 411, 17, 431, 42029, 12677, 11181, 360, 12672, 15789, 18, 23104, 12904, 30, 715, 37, 21423, 19, 40135, 18625, 10482, 16, 374, 1800, 726, 2504, 473, 511, 15116, 41684, 15581, 16, 21518, 1587, 1279, 43645, 6114, 18, 510, 478, 18386, 18, 8381, 9979, 322, 14493, 8341, 349, 41253, 18, 22568, 726, 4618, 6276, 411, 17, 1567, 8390, 16, 374, 726, 2504, 322, 45942, 16, 1085, 2353, 349, 281, 7774, 1231, 536, 910, 510, 1109, 478, 46088, 18, 8381, 470, 10914, 755, 13858, 6474, 574, 2209, 3320, 478, 24735, 28349, 470, 8324, 31021, 30118, 354, 609, 18, 7250, 35544, 17461, 2145, 289, 25359, 8973, 27535, 354, 1740, 10050, 16, 374, 42051, 10049, 31537, 44313, 41489, 8144, 15018, 332, 4424, 30, 478, 1009, 13381, 1162, 41489, 4451, 6345, 1122, 25757, 1992, 2849, 14561, 2793, 16, 515, 1215, 453, 42346, 16, 753, 481, 23350, 5799, 1833, 1293, 8775, 16, 4424, 861, 365, 28138, 6517, 9188, 309, 6398, 4120, 13858, 9964, 478, 2997, 41976, 17, 22, 470, 34022, 20323, 23659, 24902, 5808, 282, 10695, 2431, 1634, 15852, 16, 2548, 6187, 16986, 30773, 17, 12920, 408, 9487, 4137, 1764, 48438, 18, 478, 14237, 1502, 1133, 2891, 1314, 4247, 22723, 16432, 18, 2949, 978, 20886, 441, 439, 3375, 13978, 965, 1033, 34597, 1548, 16, 374, 519, 4189, 13111, 779, 477, 1963, 16101, 2504, 2069, 15839, 309, 9482, 8144, 322, 840, 18, 365, 4190, 5833, 48818, 27066, 15581, 16, 282, 4190, 24562, 773, 3599, 477, 1963, 1241, 23074, 16, 11752, 289, 27838, 23872, 3599, 477, 1963, 29376, 29058, 23659, 12530, 23697, 290, 3177, 21260, 16, 2805, 282, 5968, 25754, 9964, 478, 2997, 41976, 17, 22, 861, 640, 11506, 4700, 17, 299, 12652, 432, 3806, 43853, 2794, 473, 418, 1378, 13, 11400, 329, 15581, 16, 334, 17, 12593, 16, 1333, 1003, 16, 2391, 745, 289, 38715, 9099, 46839, 18, 25797, 263, 16, 7089, 16, 35360, 334, 9771, 575, 8736, 1876, 16, 19323, 47721, 7892, 2954, 1880, 10359, 1279, 1129, 910, 510, 2548, 12681, 12189, 18, 6234, 5809, 16, 374, 23659, 282, 1177, 445, 10258, 12652, 668, 14492, 16, 16135, 2848, 411, 14621, 31869, 35976, 1833, 4335, 13450, 933, 8775, 16, 6187, 16564, 9206, 378, 732, 730, 17, 9782, 4944, 18377, 326, 7960, 1038, 30889, 1211, 428, 18210, 45418, 29978, 15852, 35251, 18, 478, 4441, 9868, 37351, 3493, 309, 3672, 5022, 1158, 758, 20316, 16, 1830, 1514, 726, 6218, 16, 374, 3819, 10125, 19336, 6929, 687, 15816, 3672, 35251, 322, 9553, 18, 49881, 3826, 3626, 38561, 16, 290, 1754, 475, 808, 2548, 6564, 16, 581, 289, 3771, 16, 4362, 475, 2619, 49086, 1736, 7310, 655, 365, 5975, 808, 439, 507, 554, 939, 3525, 3225, 18787, 1423, 43108, 622, 281, 11616, 290, 6663, 5395, 4638, 265, 18, 817, 1559, 14340, 1069, 2610, 282, 8144, 30, 14900, 360, 3247, 8144, 403, 1295, 21995, 473, 8871, 4574, 1066, 290, 4092, 4840, 442, 878, 2305, 274, 18, 510, 478, 18386, 18, 8381, 12235, 360, 3247, 8144, 7214, 309, 22833, 1066, 2231, 636, 431, 16, 492, 360, 3247, 8144, 840, 5245, 475, 9744, 290, 6663, 5395, 4638, 265, 655, 365, 5975, 808, 439, 3375, 18236, 16, 2628, 16, 282, 322, 939, 20139, 282, 30681, 22398, 1207, 16, 515, 475, 575, 1631, 16, 281, 3279, 28648, 20412, 910, 510, 2548, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 36798, 35524, 478, 27064, 648, 1162, 6733, 5461, 470, 43200, 26900, 13713, 12975, 41821, 7408, 18, 4756, 14265, 11095, 4110, 329, 4109, 5502, 18846, 16, 367, 7190, 24490, 563, 7484, 935, 18157, 7792, 282, 35598, 1275, 778, 1551, 16, 1629, 525, 290, 4349, 3168, 9188, 18, 2046, 2559, 334, 722, 13795, 954, 411, 17, 1567, 30356, 322, 639, 7239, 18, 31224, 30, 677, 3765, 309, 10666, 282, 35524, 4855, 430, 4534, 6166, 27064, 648, 1162, 6733, 5461, 9979, 43200, 10901, 3626, 18452, 17, 16981, 12975, 41821, 7408, 18, 478, 4592, 11890, 282, 28079, 12625, 416, 22374, 35524, 910, 510, 3828, 478, 46088, 18, 8381, 470, 12117, 5854, 24490, 563, 7484, 334, 3507, 4210, 29849, 1709, 523, 18, 817, 9848, 16, 374, 1469, 33098, 3708, 906, 4773, 2773, 282, 20822, 16200, 755, 510, 35524, 4855, 1286, 510, 3703, 4189, 4479, 779, 18, 365, 1177, 1119, 35598, 1275, 778, 34086, 1551, 4534, 13749, 722, 9353, 416, 282, 34037, 16894, 4284, 763, 16021, 6241, 16, 31758, 2529, 505, 4913, 30, 3708, 33346, 1869, 5794, 16717, 567, 808, 37335, 18, 478, 4670, 3892, 2431, 678, 906, 6565, 10616, 4808, 3334, 44795, 16, 5296, 4609, 4688, 428, 14001, 3380, 539, 16, 1011, 978, 41821, 7408, 7801, 27482, 448, 289, 469, 623, 350, 38849, 31344, 16, 510, 4848, 29849, 1709, 523, 18, 510, 365, 3198, 898, 49345, 5836, 282, 17203, 18, 14959, 3634, 549, 16477, 18932, 1450, 19902, 510, 6170, 1515, 7989, 6965, 32482, 7976, 17203, 861, 9639, 865, 8037, 30615, 37439, 16967, 8716, 1798, 32482, 426, 431, 18, 640, 9185, 4075, 14891, 1488, 4160, 4479, 779, 41821, 7408, 906, 24214, 8087, 282, 32482, 7976, 539, 13331, 16688, 15064, 35524, 478, 27064, 648, 1162, 6733, 5461, 910, 988, 678, 20452, 5851, 539, 30221, 289, 10640, 18, 478, 2479, 3802, 41821, 7408, 282, 14777, 46465, 4666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 824, 3163, 37829, 16, 1833, 1011, 12677, 282, 3948, 15789, 12543, 22933, 7021, 3800, 510, 23659, 10073, 41842, 282, 27357, 328, 18, 985, 18479, 13450, 1133, 2891, 16, 282, 4542, 44121, 553, 2713, 3991, 36197, 3225, 13015, 29771, 770, 15581, 16, 961, 26308, 309, 8436, 282, 2580, 46782, 18, 365, 7842, 12937, 2553, 27118, 35976, 4522, 530, 282, 3178, 11281, 3139, 16, 15488, 764, 282, 3765, 477, 10026, 309, 11946, 8099, 15780, 297, 13755, 8144, 459, 429, 347, 768, 1134, 267, 18, 478, 4408, 566, 382, 22509, 11364, 1886, 6330, 16, 334, 3538, 3775, 18, 640, 2468, 12677, 3237, 8107, 18, 1937, 505, 9553, 12780, 3490, 16, 840, 4522, 2773, 4674, 413, 35699, 910, 510, 22618, 492, 18, 365, 4675, 808, 8876, 14888, 5204, 2795, 8534, 12677, 16, 3110, 13450, 1880, 36992, 1511, 14768, 662, 385, 4742, 618, 18, 9668, 25656, 416, 3320, 478, 14237, 43931, 5482, 29201, 349, 33537, 835, 1631, 470, 44843, 5714, 2429, 22220, 1496, 8566, 49405, 478, 460, 22407, 29620, 416, 289, 8522, 34656, 7733, 2204, 2206, 861, 478, 563, 19444, 282, 4008, 46211, 848, 8087, 4618, 16, 374, 4748, 17877, 41693, 42051, 33994, 289, 2697, 322, 5370, 290, 46090, 18, 13028, 599, 343, 487, 282, 27357, 2557, 11540, 411, 17, 431, 42029, 12677, 11181, 360, 12672, 15789, 18, 23104, 12904, 30, 715, 37, 21423, 19, 40135, 18625, 10482, 16, 374, 1800, 726, 2504, 473, 511, 15116, 41684, 15581, 16, 21518, 1587, 1279, 43645, 6114, 18, 510, 478, 18386, 18, 8381, 9979, 322, 14493, 8341, 349, 41253, 18, 22568, 726, 4618, 6276, 411, 17, 1567, 8390, 16, 374, 726, 2504, 322, 45942, 16, 1085, 2353, 349, 281, 7774, 1231, 536, 910, 510, 1109, 478, 46088, 18, 8381, 470, 10914, 755, 13858, 6474, 574, 2209, 3320, 478, 24735, 28349, 470, 8324, 31021, 30118, 354, 609, 18, 7250, 35544, 17461, 2145, 289, 25359, 8973, 27535, 354, 1740, 10050, 16, 374, 42051, 10049, 31537, 44313, 41489, 8144, 15018, 332, 4424, 30, 478, 1009, 13381, 1162, 41489, 4451, 6345, 1122, 25757, 1992, 2849, 14561, 2793, 16, 515, 1215, 453, 42346, 16, 753, 481, 23350, 5799, 1833, 1293, 8775, 16, 4424, 861, 365, 28138, 6517, 9188, 309, 6398, 4120, 13858, 9964, 478, 2997, 41976, 17, 22, 470, 34022, 20323, 23659, 24902, 5808, 282, 10695, 2431, 1634, 15852, 16, 2548, 6187, 16986, 30773, 17, 12920, 408, 9487, 4137, 1764, 48438, 18, 478, 14237, 1502, 1133, 2891, 1314, 4247, 22723, 16432, 18, 2949, 978, 20886, 441, 439, 3375, 13978, 965, 1033, 34597, 1548, 16, 374, 519, 4189, 13111, 779, 477, 1963, 16101, 2504, 2069, 15839, 309, 9482, 8144, 322, 840, 18, 365, 4190, 5833, 48818, 27066, 15581, 16, 282, 4190, 24562, 773, 3599, 477, 1963, 1241, 23074, 16, 11752, 289, 27838, 23872, 3599, 477, 1963, 29376, 29058, 23659, 12530, 23697, 290, 3177, 21260, 16, 2805, 282, 5968, 25754, 9964, 478, 2997, 41976, 17, 22, 861, 640, 11506, 4700, 17, 299, 12652, 432, 3806, 43853, 2794, 473, 418, 1378, 13, 11400, 329, 15581, 16, 334, 17, 12593, 16, 1333, 1003, 16, 2391, 745, 289, 38715, 9099, 46839, 18, 25797, 263, 16, 7089, 16, 35360, 334, 9771, 575, 8736, 1876, 16, 19323, 47721, 7892, 2954, 1880, 10359, 1279, 1129, 910, 510, 2548, 12681, 12189, 18, 6234, 5809, 16, 374, 23659, 282, 1177, 445, 10258, 12652, 668, 14492, 16, 16135, 2848, 411, 14621, 31869, 35976, 1833, 4335, 13450, 933, 8775, 16, 6187, 16564, 9206, 378, 732, 730, 17, 9782, 4944, 18377, 326, 7960, 1038, 30889, 1211, 428, 18210, 45418, 29978, 15852, 35251, 18, 478, 4441, 9868, 37351, 3493, 309, 3672, 5022, 1158, 758, 20316, 16, 1830, 1514, 726, 6218, 16, 374, 3819, 10125, 19336, 6929, 687, 15816, 3672, 35251, 322, 9553, 18, 49881, 3826, 3626, 38561, 16, 290, 1754, 475, 808, 2548, 6564, 16, 581, 289, 3771, 16, 4362, 475, 2619, 49086, 1736, 7310, 655, 365, 5975, 808, 439, 507, 554, 939, 3525, 3225, 18787, 1423, 43108, 622, 281, 11616, 290, 6663, 5395, 4638, 265, 18, 817, 1559, 14340, 1069, 2610, 282, 8144, 30, 14900, 360, 3247, 8144, 403, 1295, 21995, 473, 8871, 4574, 1066, 290, 4092, 4840, 442, 878, 2305, 274, 18, 510, 478, 18386, 18, 8381, 12235, 360, 3247, 8144, 7214, 309, 22833, 1066, 2231, 636, 431, 16, 492, 360, 3247, 8144, 840, 5245, 475, 9744, 290, 6663, 5395, 4638, 265, 655, 365, 5975, 808, 439, 3375, 18236, 16, 2628, 16, 282, 322, 939, 20139, 282, 30681, 22398, 1207, 16, 515, 475, 575, 1631, 16, 281, 3279, 28648, 20412, 910, 510, 2548, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 36798, 35524, 478, 27064, 648, 1162, 6733, 5461, 470, 43200, 26900, 13713, 12975, 41821, 7408, 18, 4756, 14265, 11095, 4110, 329, 4109, 5502, 18846, 16, 367, 7190, 24490, 563, 7484, 935, 18157, 7792, 282, 35598, 1275, 778, 1551, 16, 1629, 525, 290, 4349, 3168, 9188, 18, 2046, 2559, 334, 722, 13795, 954, 411, 17, 1567, 30356, 322, 639, 7239, 18, 31224, 30, 677, 3765, 309, 10666, 282, 35524, 4855, 430, 4534, 6166, 27064, 648, 1162, 6733, 5461, 9979, 43200, 10901, 3626, 18452, 17, 16981, 12975, 41821, 7408, 18, 478, 4592, 11890, 282, 28079, 12625, 416, 22374, 35524, 910, 510, 3828, 478, 46088, 18, 8381, 470, 12117, 5854, 24490, 563, 7484, 334, 3507, 4210, 29849, 1709, 523, 18, 817, 9848, 16, 374, 1469, 33098, 3708, 906, 4773, 2773, 282, 20822, 16200, 755, 510, 35524, 4855, 1286, 510, 3703, 4189, 4479, 779, 18, 365, 1177, 1119, 35598, 1275, 778, 34086, 1551, 4534, 13749, 722, 9353, 416, 282, 34037, 16894, 4284, 763, 16021, 6241, 16, 31758, 2529, 505, 4913, 30, 3708, 33346, 1869, 5794, 16717, 567, 808, 37335, 18, 478, 4670, 3892, 2431, 678, 906, 6565, 10616, 4808, 3334, 44795, 16, 5296, 4609, 4688, 428, 14001, 3380, 539, 16, 1011, 978, 41821, 7408, 7801, 27482, 448, 289, 469, 623, 350, 38849, 31344, 16, 510, 4848, 29849, 1709, 523, 18, 510, 365, 3198, 898, 49345, 5836, 282, 17203, 18, 14959, 3634, 549, 16477, 18932, 1450, 19902, 510, 6170, 1515, 7989, 6965, 32482, 7976, 17203, 861, 9639, 865, 8037, 30615, 37439, 16967, 8716, 1798, 32482, 426, 431, 18, 640, 9185, 4075, 14891, 1488, 4160, 4479, 779, 41821, 7408, 906, 24214, 8087, 282, 32482, 7976, 539, 13331, 16688, 15064, 35524, 478, 27064, 648, 1162, 6733, 5461, 910, 988, 678, 20452, 5851, 539, 30221, 289, 10640, 18, 478, 2479, 3802, 41821, 7408, 282, 14777, 46465, 4666 ]
[ 906, 24214, 8087, 282, 44463, 13335, 4855, 1939, 16, 510, 10117, 29849, 1709, 523, 18, 510, 608, 1710, 685, 8664, 637, 7893, 29350, 12615, 510, 49081, 12006, 4067, 27436, 37171, 2005, 16, 10138, 2232, 571, 264, 16, 360, 508, 25949, 9790, 16, 32482, 7976, 17203, 16, 45623, 11643, 39582, 16, 796, 2611, 389, 4091, 861, 2046, 6396, 1421, 2299, 3708, 906, 2760, 8991, 282, 35524, 4855, 430, 18, 29849, 1709, 523, 9848, 16, 374, 14265, 282, 9207, 43962, 14154, 34259, 3531, 19902, 276, 510, 8137, 11643, 39582, 16, 584, 3041, 23226, 783, 16, 289, 2529, 17826, 12989, 6786, 16, 25465, 3050, 10569, 299, 542, 18, 478, 4592, 10491, 5187, 281, 10836, 575, 3770, 7054, 16, 510, 1109, 5854, 24490, 563, 7484, 18, 510, 38169, 5296, 19143, 281, 2511, 334, 2123, 3802, 8477, 41969, 20907, 18, 365, 2630, 281, 2184, 282, 4459, 35598, 1275, 718, 5129, 4534, 898, 19196, 35789, 7792, 510, 360, 12457, 35524, 4855, 1286, 289, 35524, 4855, 430, 18, 365, 1129, 8846, 290, 4349, 7574, 3168, 9188, 16, 4437, 9529, 16, 374, 1135, 19143, 861, 817, 24500, 16, 374, 282, 35524, 29690, 13079, 20630, 622, 12519, 282, 16200, 8803, 19143, 289, 40723, 309, 14909, 7272, 32174, 541, 1710, 18, 478, 3743, 41229, 3003, 1494, 5702, 309, 23539, 4998, 5129, 910, 510, 5692, 29849, 1709, 523, 18, 25652, 17, 15975, 35598, 1275, 718, 5129, 12836, 450, 4920, 41116, 26851, 5809, 7358, 18673, 411, 35524, 18, 478, 37812, 7650, 294, 5295, 954, 910, 510, 14291, 678, 18, 9418, 281, 867, 450, 4920, 41116, 11524, 11225, 4437, 1507, 16, 2006, 1551, 3508, 322, 12631, 21743, 32174, 541, 10901, 1734, 18, 478, 6706, 808, 24807, 8165, 537, 41821, 7408, 16, 537, 722, 15320, 322, 5780, 290, 970, 16, 374, 329, 1710, 912, 8037, 16, 510, 14291, 5854, 5129, 18, 510, 2949, 924, 16, 309, 808, 24807, 14160, 41821, 7408, 11890, 424, 15028, 680, 290, 6327, 4695, 861, 478, 677, 31023, 281, 867, 1551, 22930, 16, 374, 329, 41821, 28146, 906, 7139, 20627, 24515, 18, 510, 2323, 450, 4920, 41116, 18, 510, 20012, 502, 5296, 7574, 16, 2486, 639, 3665, 16, 1551, 16409, 3389, 13742, 289, 23229, 1450, 816, 779, 17703, 8124, 281, 7304, 31860, 282, 15978, 17, 9129, 310, 763, 861, 1253, 8476, 16, 374, 334, 7705, 16, 1586, 584, 24145, 2168, 17305, 26900, 8809, 16, 510, 327, 18, 1032, 422, 18, 41538, 11828, 473, 20845, 539, 4284, 468, 29647, 16021, 23292, 16, 31758, 2284, 16619, 1631, 13, 510, 23803, 13742, 360, 1061, 519, 1760, 986, 12851, 18, 478, 4670, 3528, 764, 322, 15739, 282, 1568, 668, 3941, 16, 453, 428, 11675, 548, 505, 29581, 3637, 282, 49798, 4669, 32021, 910, 510, 14291, 450, 4920, 41116, 18, 6592, 5412, 14163, 16, 2706, 3598, 978, 779, 41821, 7408, 44094, 701, 477, 2200, 14049, 16, 1029, 5053, 914, 282, 4349, 19599, 47648, 37010, 18, 20587, 22427, 4135, 309, 8761, 13440, 16, 2686, 4411, 3038, 455, 975, 18, 985, 27250, 32233, 41821, 7408, 16, 678, 1126, 455, 309, 11747, 15899, 18, 1937, 722, 5104, 309, 29217, 309, 1710, 16, 678, 21661, 6038, 505, 16, 24688, 396, 4655, 282, 6823, 18, 2046, 1551, 15508, 23481, 23089, 18700, 16, 374, 4004, 16881, 2548, 290, 1678, 547, 1561, 298, 16, 1029, 4525, 35724, 17933, 1206, 2482, 18, 640, 12564, 678, 12860, 36413, 1423, 16789, 289, 31246, 701, 18, 2, 1, 87, 1456, 81, 2448, 30, 33408, 6732, 2815, 16, 374, 282, 17343, 32277, 22828, 4828, 3166, 1003, 18118, 27587, 624, 18, 20346, 46899, 11285, 5292, 18562, 11969, 1743, 334, 1335, 7705, 282, 4599, 41002, 1809, 4966, 6269, 368, 1869, 22828, 4828, 3166, 16, 9718, 9314, 17422, 294, 39724, 29205, 18, 5223, 1340, 16144, 16, 374, 36560, 322, 9095, 30599, 395, 289, 9985, 2675, 8346, 281, 5688, 9471, 18, 31224, 30, 33408, 6732, 17684, 3193, 32277, 22828, 4828, 3166, 16, 961, 24661, 21709, 11168, 309, 39724, 29205, 478, 37075, 470, 478, 4670, 598, 1683, 549, 470, 282, 35756, 350, 1212, 4993, 18, 1012, 38672, 309, 8780, 7255, 547, 45052, 14948, 14812, 16, 4770, 2815, 16, 374, 10392, 2700, 6563, 14471, 12672, 3018, 16, 1830, 289, 322, 3929, 18358, 2389, 18, 20346, 46899, 11285, 5292, 18562, 11969, 1743, 428, 445, 334, 7705, 3405, 27, 11828, 2407, 473, 589, 1155, 662, 814, 999, 1826, 6279, 16684, 360, 1533, 519, 1760, 986, 16886, 18, 478, 1358, 282, 36078, 322, 2060, 16, 374, 1122, 4243, 16, 515, 2697, 8084, 16, 374, 745, 16, 2091, 16, 322, 3929, 18358, 2389, 18, 740, 23658, 745, 10073, 19555, 39254, 910, 510, 15875, 9620, 478, 15210, 861, 817, 22699, 6106, 16, 374, 14250, 1157, 3005, 24693, 282, 970, 16, 1085, 1717, 9414, 19555, 39254, 424, 7595, 22828, 4828, 3166, 18, 478, 35416, 869, 309, 8011, 5262, 2596, 6059, 16, 961, 30122, 282, 403, 763, 16, 20657, 1696, 5736, 953, 18, 3492, 4073, 15404, 510, 656, 575, 322, 7836, 910, 510, 9848, 4770, 18, 478, 3743, 2697, 8084, 30, 870, 1749, 2700, 6563, 14471, 12672, 3018, 910, 510, 2815, 6732, 18, 20346, 7190, 33515, 7920, 5780, 16, 374, 32277, 942, 14044, 334, 25295, 1147, 11681, 1508, 2407, 18, 2046, 290, 27063, 7179, 12670, 4770, 322, 3828, 18, 967, 803, 492, 16328, 5977, 4976, 32277, 22828, 4828, 3166, 282, 6900, 24246, 6507, 16652, 18, 478, 30761, 373, 4703, 1882, 16, 827, 373, 7190, 22828, 4828, 3166, 9677, 282, 803, 6900, 289, 41280, 2159, 6843, 294, 23534, 16, 961, 656, 26455, 339, 16, 12002, 373, 1617, 22807, 16, 5693, 16, 19877, 4110, 1617, 15089, 30893, 18, 3510, 2504, 360, 978, 322, 360, 17216, 1812, 16, 656, 35288, 309, 7461, 10049, 5064, 16, 753, 17705, 475, 870, 3860, 910, 510, 1109, 6732, 18, 4530, 867, 9216, 49336, 6660, 478, 43, 11190, 4828, 3166, 1175, 470, 4137, 688, 673, 483, 5962, 3455, 282, 24246, 14948, 14812, 16, 515, 3775, 8055, 5080, 552, 7583, 22176, 567, 808, 7461, 975, 322, 1474, 1323, 18, 478, 563, 12984, 417, 12557, 282, 3709, 30, 22828, 4828, 3166, 322, 50000, 16, 510, 3828, 478, 46088, 18, 8381, 470, 688, 673, 483, 18, 510, 14870, 764, 445, 27267, 16, 374, 34144, 478, 43, 11190, 4828, 3166, 5533, 404, 34458, 271, 470, 322, 10073, 19555, 39254, 478, 4670, 598, 1683, 549, 910, 367, 10258, 2309, 668, 26314, 19762, 1279, 4215, 13540, 627, 447, 282, 24246, 9068, 18, 1606, 44240, 751, 309, 29205, 281, 5173, 14033, 2904, 22300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 906, 24214, 8087, 282, 44463, 13335, 4855, 1939, 16, 510, 10117, 29849, 1709, 523, 18, 510, 608, 1710, 685, 8664, 637, 7893, 29350, 12615, 510, 49081, 12006, 4067, 27436, 37171, 2005, 16, 10138, 2232, 571, 264, 16, 360, 508, 25949, 9790, 16, 32482, 7976, 17203, 16, 45623, 11643, 39582, 16, 796, 2611, 389, 4091, 861, 2046, 6396, 1421, 2299, 3708, 906, 2760, 8991, 282, 35524, 4855, 430, 18, 29849, 1709, 523, 9848, 16, 374, 14265, 282, 9207, 43962, 14154, 34259, 3531, 19902, 276, 510, 8137, 11643, 39582, 16, 584, 3041, 23226, 783, 16, 289, 2529, 17826, 12989, 6786, 16, 25465, 3050, 10569, 299, 542, 18, 478, 4592, 10491, 5187, 281, 10836, 575, 3770, 7054, 16, 510, 1109, 5854, 24490, 563, 7484, 18, 510, 38169, 5296, 19143, 281, 2511, 334, 2123, 3802, 8477, 41969, 20907, 18, 365, 2630, 281, 2184, 282, 4459, 35598, 1275, 718, 5129, 4534, 898, 19196, 35789, 7792, 510, 360, 12457, 35524, 4855, 1286, 289, 35524, 4855, 430, 18, 365, 1129, 8846, 290, 4349, 7574, 3168, 9188, 16, 4437, 9529, 16, 374, 1135, 19143, 861, 817, 24500, 16, 374, 282, 35524, 29690, 13079, 20630, 622, 12519, 282, 16200, 8803, 19143, 289, 40723, 309, 14909, 7272, 32174, 541, 1710, 18, 478, 3743, 41229, 3003, 1494, 5702, 309, 23539, 4998, 5129, 910, 510, 5692, 29849, 1709, 523, 18, 25652, 17, 15975, 35598, 1275, 718, 5129, 12836, 450, 4920, 41116, 26851, 5809, 7358, 18673, 411, 35524, 18, 478, 37812, 7650, 294, 5295, 954, 910, 510, 14291, 678, 18, 9418, 281, 867, 450, 4920, 41116, 11524, 11225, 4437, 1507, 16, 2006, 1551, 3508, 322, 12631, 21743, 32174, 541, 10901, 1734, 18, 478, 6706, 808, 24807, 8165, 537, 41821, 7408, 16, 537, 722, 15320, 322, 5780, 290, 970, 16, 374, 329, 1710, 912, 8037, 16, 510, 14291, 5854, 5129, 18, 510, 2949, 924, 16, 309, 808, 24807, 14160, 41821, 7408, 11890, 424, 15028, 680, 290, 6327, 4695, 861, 478, 677, 31023, 281, 867, 1551, 22930, 16, 374, 329, 41821, 28146, 906, 7139, 20627, 24515, 18, 510, 2323, 450, 4920, 41116, 18, 510, 20012, 502, 5296, 7574, 16, 2486, 639, 3665, 16, 1551, 16409, 3389, 13742, 289, 23229, 1450, 816, 779, 17703, 8124, 281, 7304, 31860, 282, 15978, 17, 9129, 310, 763, 861, 1253, 8476, 16, 374, 334, 7705, 16, 1586, 584, 24145, 2168, 17305, 26900, 8809, 16, 510, 327, 18, 1032, 422, 18, 41538, 11828, 473, 20845, 539, 4284, 468, 29647, 16021, 23292, 16, 31758, 2284, 16619, 1631, 13, 510, 23803, 13742, 360, 1061, 519, 1760, 986, 12851, 18, 478, 4670, 3528, 764, 322, 15739, 282, 1568, 668, 3941, 16, 453, 428, 11675, 548, 505, 29581, 3637, 282, 49798, 4669, 32021, 910, 510, 14291, 450, 4920, 41116, 18, 6592, 5412, 14163, 16, 2706, 3598, 978, 779, 41821, 7408, 44094, 701, 477, 2200, 14049, 16, 1029, 5053, 914, 282, 4349, 19599, 47648, 37010, 18, 20587, 22427, 4135, 309, 8761, 13440, 16, 2686, 4411, 3038, 455, 975, 18, 985, 27250, 32233, 41821, 7408, 16, 678, 1126, 455, 309, 11747, 15899, 18, 1937, 722, 5104, 309, 29217, 309, 1710, 16, 678, 21661, 6038, 505, 16, 24688, 396, 4655, 282, 6823, 18, 2046, 1551, 15508, 23481, 23089, 18700, 16, 374, 4004, 16881, 2548, 290, 1678, 547, 1561, 298, 16, 1029, 4525, 35724, 17933, 1206, 2482, 18, 640, 12564, 678, 12860, 36413, 1423, 16789, 289, 31246, 701, 18, 2, 1, 87, 1456, 81, 2448, 30, 33408, 6732, 2815, 16, 374, 282, 17343, 32277, 22828, 4828, 3166, 1003, 18118, 27587, 624, 18, 20346, 46899, 11285, 5292, 18562, 11969, 1743, 334, 1335, 7705, 282, 4599, 41002, 1809, 4966, 6269, 368, 1869, 22828, 4828, 3166, 16, 9718, 9314, 17422, 294, 39724, 29205, 18, 5223, 1340, 16144, 16, 374, 36560, 322, 9095, 30599, 395, 289, 9985, 2675, 8346, 281, 5688, 9471, 18, 31224, 30, 33408, 6732, 17684, 3193, 32277, 22828, 4828, 3166, 16, 961, 24661, 21709, 11168, 309, 39724, 29205, 478, 37075, 470, 478, 4670, 598, 1683, 549, 470, 282, 35756, 350, 1212, 4993, 18, 1012, 38672, 309, 8780, 7255, 547, 45052, 14948, 14812, 16, 4770, 2815, 16, 374, 10392, 2700, 6563, 14471, 12672, 3018, 16, 1830, 289, 322, 3929, 18358, 2389, 18, 20346, 46899, 11285, 5292, 18562, 11969, 1743, 428, 445, 334, 7705, 3405, 27, 11828, 2407, 473, 589, 1155, 662, 814, 999, 1826, 6279, 16684, 360, 1533, 519, 1760, 986, 16886, 18, 478, 1358, 282, 36078, 322, 2060, 16, 374, 1122, 4243, 16, 515, 2697, 8084, 16, 374, 745, 16, 2091, 16, 322, 3929, 18358, 2389, 18, 740, 23658, 745, 10073, 19555, 39254, 910, 510, 15875, 9620, 478, 15210, 861, 817, 22699, 6106, 16, 374, 14250, 1157, 3005, 24693, 282, 970, 16, 1085, 1717, 9414, 19555, 39254, 424, 7595, 22828, 4828, 3166, 18, 478, 35416, 869, 309, 8011, 5262, 2596, 6059, 16, 961, 30122, 282, 403, 763, 16, 20657, 1696, 5736, 953, 18, 3492, 4073, 15404, 510, 656, 575, 322, 7836, 910, 510, 9848, 4770, 18, 478, 3743, 2697, 8084, 30, 870, 1749, 2700, 6563, 14471, 12672, 3018, 910, 510, 2815, 6732, 18, 20346, 7190, 33515, 7920, 5780, 16, 374, 32277, 942, 14044, 334, 25295, 1147, 11681, 1508, 2407, 18, 2046, 290, 27063, 7179, 12670, 4770, 322, 3828, 18, 967, 803, 492, 16328, 5977, 4976, 32277, 22828, 4828, 3166, 282, 6900, 24246, 6507, 16652, 18, 478, 30761, 373, 4703, 1882, 16, 827, 373, 7190, 22828, 4828, 3166, 9677, 282, 803, 6900, 289, 41280, 2159, 6843, 294, 23534, 16, 961, 656, 26455, 339, 16, 12002, 373, 1617, 22807, 16, 5693, 16, 19877, 4110, 1617, 15089, 30893, 18, 3510, 2504, 360, 978, 322, 360, 17216, 1812, 16, 656, 35288, 309, 7461, 10049, 5064, 16, 753, 17705, 475, 870, 3860, 910, 510, 1109, 6732, 18, 4530, 867, 9216, 49336, 6660, 478, 43, 11190, 4828, 3166, 1175, 470, 4137, 688, 673, 483, 5962, 3455, 282, 24246, 14948, 14812, 16, 515, 3775, 8055, 5080, 552, 7583, 22176, 567, 808, 7461, 975, 322, 1474, 1323, 18, 478, 563, 12984, 417, 12557, 282, 3709, 30, 22828, 4828, 3166, 322, 50000, 16, 510, 3828, 478, 46088, 18, 8381, 470, 688, 673, 483, 18, 510, 14870, 764, 445, 27267, 16, 374, 34144, 478, 43, 11190, 4828, 3166, 5533, 404, 34458, 271, 470, 322, 10073, 19555, 39254, 478, 4670, 598, 1683, 549, 910, 367, 10258, 2309, 668, 26314, 19762, 1279, 4215, 13540, 627, 447, 282, 24246, 9068, 18, 1606, 44240, 751, 309, 29205, 281, 5173, 14033, 2904, 22300 ]
[ 294, 23534, 24246, 3847, 16, 515, 1745, 322, 31107, 2704, 17817, 3851, 18, 6708, 1427, 16, 374, 583, 4137, 6732, 282, 7337, 22244, 2818, 5792, 1273, 12752, 37953, 654, 32852, 428, 17, 299, 9695, 10042, 20323, 1967, 14784, 770, 1512, 16, 961, 309, 12168, 28185, 4549, 20552, 16510, 4792, 536, 289, 19336, 5129, 277, 861, 3557, 5547, 282, 24064, 2557, 7190, 22828, 4828, 3166, 289, 8811, 12328, 366, 1281, 2044, 12530, 9422, 360, 33515, 7920, 5790, 281, 5688, 9471, 18, 365, 10434, 6269, 368, 1869, 687, 2846, 18952, 5539, 18, 478, 46366, 5475, 7193, 7295, 4341, 1361, 658, 23106, 86, 7672, 906, 21709, 19513, 309, 7827, 18, 7914, 13721, 326, 10357, 8076, 37728, 16, 2686, 309, 2089, 21261, 322, 36841, 3338, 38923, 16, 2391, 34144, 322, 2458, 5524, 1855, 10357, 8076, 16, 510, 27250, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 478, 43, 11190, 4828, 3166, 1175, 470, 8909, 727, 1083, 350, 1162, 18, 510, 1614, 7311, 1139, 322, 13349, 925, 290, 48687, 33691, 861, 5223, 1340, 289, 8811, 955, 293, 353, 4032, 295, 1992, 2894, 10258, 1188, 35461, 282, 8554, 33515, 7920, 334, 15970, 17, 18876, 1147, 10337, 1147, 26588, 18, 478, 7306, 5039, 1520, 873, 16, 3057, 16, 10258, 309, 4625, 2852, 3139, 16, 510, 2548, 727, 1083, 350, 1162, 18, 510, 439, 477, 3319, 3225, 7786, 5528, 687, 4679, 22969, 277, 861, 1591, 12241, 2797, 15437, 6884, 519, 4177, 5963, 16, 2548, 3781, 17, 15975, 478, 43, 11190, 4828, 3166, 1175, 861, 478, 12134, 326, 2797, 331, 10197, 9208, 11854, 289, 6501, 21112, 1275, 910, 510, 41988, 727, 1083, 350, 1162, 18, 1614, 4178, 395, 3225, 9422, 20348, 309, 1967, 28760, 18, 5043, 16, 282, 23032, 33515, 7920, 5130, 16, 374, 2797, 331, 10197, 687, 9208, 2954, 1175, 16, 396, 697, 12360, 411, 36473, 1329, 322, 13120, 18, 46899, 11285, 3038, 1893, 30599, 395, 22828, 4828, 3166, 282, 3775, 15707, 1209, 952, 13405, 1833, 18, 478, 36865, 282, 970, 16, 374, 1176, 15320, 322, 895, 953, 2985, 2409, 1949, 30650, 16, 827, 697, 10855, 8015, 1973, 702, 6527, 18, 4320, 374, 2900, 33530, 1003, 16, 515, 282, 4542, 14160, 2650, 895, 22876, 18, 5161, 16, 282, 4542, 33691, 5688, 2906, 1698, 20488, 16, 374, 1085, 17, 299, 35748, 14212, 697, 294, 29205, 16, 367, 1500, 840, 32270, 16, 510, 40530, 478, 46088, 18, 8381, 470, 282, 27246, 18, 510, 2876, 656, 30795, 16, 753, 329, 4286, 5688, 5540, 685, 1595, 25236, 861, 22828, 4828, 3166, 39205, 309, 970, 16, 753, 697, 5224, 1262, 4737, 8848, 1209, 39092, 18, 478, 4348, 43680, 2484, 16, 753, 870, 11675, 548, 23640, 10855, 1209, 32277, 289, 374, 1176, 15320, 895, 19676, 10855, 4335, 1135, 910, 510, 2548, 10914, 755, 45052, 6507, 5115, 478, 43, 11190, 4828, 3166, 1175, 470, 18061, 33437, 3340, 18, 727, 1083, 350, 1162, 16926, 16, 374, 14267, 7917, 1744, 764, 322, 11103, 9748, 18, 478, 35569, 315, 840, 16, 827, 14267, 282, 4073, 464, 22137, 1747, 11103, 2626, 1514, 1974, 16, 453, 428, 2496, 39092, 912, 10172, 15574, 16, 961, 322, 3929, 19716, 22828, 4828, 3166, 18, 889, 16, 3057, 16, 45424, 16, 7259, 16, 42900, 16, 961, 898, 8074, 318, 334, 47218, 309, 12908, 6269, 368, 1869, 910, 510, 27250, 3781, 17, 15975, 35750, 3320, 18, 365, 9937, 10392, 3424, 2657, 1886, 294, 32287, 32372, 1496, 718, 10872, 11925, 18, 478, 7530, 363, 476, 6269, 368, 1869, 1381, 10173, 4465, 18, 608, 15574, 1003, 4302, 8656, 510, 745, 475, 13747, 309, 18576, 16, 935, 3679, 448, 3535, 21346, 910, 510, 41988, 727, 1083, 350, 1162, 18, 2046, 281, 3012, 2607, 1320, 1055, 322, 7155, 18, 22828, 4828, 3166, 687, 7760, 282, 9937, 29838, 16, 282, 4700, 16200, 28951, 29277, 12519, 6535, 697, 14703, 510, 481, 459, 29340, 19310, 778, 289, 6438, 778, 18, 640, 46458, 309, 39254, 478, 4670, 598, 1683, 549, 470, 4243, 667, 3597, 18, 27857, 8488, 4341, 1361, 658, 23106, 86, 7672, 9007, 36151, 294, 29205, 16, 309, 5156, 32717, 13072, 13846, 281, 8306, 5364, 18, 1606, 708, 33552, 35483, 309, 5358, 1733, 2095, 27980, 11210, 289, 24661, 12269, 22274, 1528, 16, 282, 1754, 7187, 16034, 2704, 1293, 2868, 18, 2046, 294, 1498, 1373, 575, 9007, 45553, 37379, 42943, 10107, 18, 378, 12255, 1157, 18039, 823, 4655, 1134, 45767, 13072, 13846, 289, 18137, 1949, 1135, 18, 2112, 978, 309, 6269, 8488, 22015, 811, 16096, 1628, 616, 1406, 328, 1175, 18, 6158, 315, 639, 360, 17577, 440, 7667, 282, 4148, 24064, 820, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 2815, 16, 374, 9650, 2582, 1423, 25620, 282, 19883, 778, 981, 23189, 309, 15602, 451, 24761, 15623, 411, 17, 431, 24891, 6454, 281, 7340, 2389, 282, 17691, 18942, 6997, 5277, 309, 30455, 315, 17, 482, 273, 440, 1310, 680, 13078, 18, 824, 505, 3163, 16, 603, 14131, 5277, 309, 22671, 13078, 2145, 2397, 12629, 6007, 541, 3623, 23990, 25045, 18, 1533, 3612, 4770, 9031, 294, 28994, 680, 13078, 16, 753, 6861, 6622, 30183, 349, 31545, 5277, 360, 27014, 18, 31224, 30, 22681, 2145, 36176, 28565, 47727, 1595, 10980, 309, 24761, 15623, 282, 38342, 16460, 282, 2630, 281, 7143, 536, 9350, 304, 18, 478, 6014, 17, 431, 5769, 995, 18812, 7340, 712, 334, 3623, 14510, 289, 18800, 7713, 3623, 541, 2759, 2553, 417, 371, 1514, 4393, 4513, 9650, 13161, 5207, 939, 20597, 25620, 282, 981, 23189, 16, 16582, 1183, 16, 309, 15602, 451, 24761, 15623, 18, 11489, 27981, 26603, 289, 28783, 365, 1605, 1182, 272, 4271, 510, 6463, 5037, 23127, 1642, 282, 3177, 43287, 18, 365, 11946, 16, 1533, 3612, 16, 5037, 23127, 1642, 5112, 9031, 309, 12127, 2145, 289, 40997, 16, 988, 9600, 9733, 5245, 30183, 282, 8156, 6997, 5277, 18, 817, 1038, 9733, 33507, 281, 29290, 411, 9526, 23836, 16, 961, 6535, 309, 13078, 18, 19695, 2145, 16, 867, 5547, 16, 322, 4452, 726, 2364, 1949, 8560, 18, 1598, 17, 431, 453, 30515, 478, 10661, 347, 13145, 470, 8811, 4447, 36193, 21429, 13225, 839, 33900, 18, 28458, 5277, 309, 13078, 2145, 281, 18050, 761, 639, 3348, 411, 12153, 27803, 416, 14016, 34031, 18, 5333, 2175, 492, 27081, 25601, 5630, 10372, 1901, 27014, 282, 4008, 18, 1787, 30490, 4830, 1247, 290, 7579, 309, 13078, 281, 18050, 761, 13337, 15764, 18, 9668, 23127, 1642, 27081, 3604, 4843, 25, 5096, 309, 7955, 5277, 18, 2046, 7340, 548, 9996, 4364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 294, 23534, 24246, 3847, 16, 515, 1745, 322, 31107, 2704, 17817, 3851, 18, 6708, 1427, 16, 374, 583, 4137, 6732, 282, 7337, 22244, 2818, 5792, 1273, 12752, 37953, 654, 32852, 428, 17, 299, 9695, 10042, 20323, 1967, 14784, 770, 1512, 16, 961, 309, 12168, 28185, 4549, 20552, 16510, 4792, 536, 289, 19336, 5129, 277, 861, 3557, 5547, 282, 24064, 2557, 7190, 22828, 4828, 3166, 289, 8811, 12328, 366, 1281, 2044, 12530, 9422, 360, 33515, 7920, 5790, 281, 5688, 9471, 18, 365, 10434, 6269, 368, 1869, 687, 2846, 18952, 5539, 18, 478, 46366, 5475, 7193, 7295, 4341, 1361, 658, 23106, 86, 7672, 906, 21709, 19513, 309, 7827, 18, 7914, 13721, 326, 10357, 8076, 37728, 16, 2686, 309, 2089, 21261, 322, 36841, 3338, 38923, 16, 2391, 34144, 322, 2458, 5524, 1855, 10357, 8076, 16, 510, 27250, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 478, 43, 11190, 4828, 3166, 1175, 470, 8909, 727, 1083, 350, 1162, 18, 510, 1614, 7311, 1139, 322, 13349, 925, 290, 48687, 33691, 861, 5223, 1340, 289, 8811, 955, 293, 353, 4032, 295, 1992, 2894, 10258, 1188, 35461, 282, 8554, 33515, 7920, 334, 15970, 17, 18876, 1147, 10337, 1147, 26588, 18, 478, 7306, 5039, 1520, 873, 16, 3057, 16, 10258, 309, 4625, 2852, 3139, 16, 510, 2548, 727, 1083, 350, 1162, 18, 510, 439, 477, 3319, 3225, 7786, 5528, 687, 4679, 22969, 277, 861, 1591, 12241, 2797, 15437, 6884, 519, 4177, 5963, 16, 2548, 3781, 17, 15975, 478, 43, 11190, 4828, 3166, 1175, 861, 478, 12134, 326, 2797, 331, 10197, 9208, 11854, 289, 6501, 21112, 1275, 910, 510, 41988, 727, 1083, 350, 1162, 18, 1614, 4178, 395, 3225, 9422, 20348, 309, 1967, 28760, 18, 5043, 16, 282, 23032, 33515, 7920, 5130, 16, 374, 2797, 331, 10197, 687, 9208, 2954, 1175, 16, 396, 697, 12360, 411, 36473, 1329, 322, 13120, 18, 46899, 11285, 3038, 1893, 30599, 395, 22828, 4828, 3166, 282, 3775, 15707, 1209, 952, 13405, 1833, 18, 478, 36865, 282, 970, 16, 374, 1176, 15320, 322, 895, 953, 2985, 2409, 1949, 30650, 16, 827, 697, 10855, 8015, 1973, 702, 6527, 18, 4320, 374, 2900, 33530, 1003, 16, 515, 282, 4542, 14160, 2650, 895, 22876, 18, 5161, 16, 282, 4542, 33691, 5688, 2906, 1698, 20488, 16, 374, 1085, 17, 299, 35748, 14212, 697, 294, 29205, 16, 367, 1500, 840, 32270, 16, 510, 40530, 478, 46088, 18, 8381, 470, 282, 27246, 18, 510, 2876, 656, 30795, 16, 753, 329, 4286, 5688, 5540, 685, 1595, 25236, 861, 22828, 4828, 3166, 39205, 309, 970, 16, 753, 697, 5224, 1262, 4737, 8848, 1209, 39092, 18, 478, 4348, 43680, 2484, 16, 753, 870, 11675, 548, 23640, 10855, 1209, 32277, 289, 374, 1176, 15320, 895, 19676, 10855, 4335, 1135, 910, 510, 2548, 10914, 755, 45052, 6507, 5115, 478, 43, 11190, 4828, 3166, 1175, 470, 18061, 33437, 3340, 18, 727, 1083, 350, 1162, 16926, 16, 374, 14267, 7917, 1744, 764, 322, 11103, 9748, 18, 478, 35569, 315, 840, 16, 827, 14267, 282, 4073, 464, 22137, 1747, 11103, 2626, 1514, 1974, 16, 453, 428, 2496, 39092, 912, 10172, 15574, 16, 961, 322, 3929, 19716, 22828, 4828, 3166, 18, 889, 16, 3057, 16, 45424, 16, 7259, 16, 42900, 16, 961, 898, 8074, 318, 334, 47218, 309, 12908, 6269, 368, 1869, 910, 510, 27250, 3781, 17, 15975, 35750, 3320, 18, 365, 9937, 10392, 3424, 2657, 1886, 294, 32287, 32372, 1496, 718, 10872, 11925, 18, 478, 7530, 363, 476, 6269, 368, 1869, 1381, 10173, 4465, 18, 608, 15574, 1003, 4302, 8656, 510, 745, 475, 13747, 309, 18576, 16, 935, 3679, 448, 3535, 21346, 910, 510, 41988, 727, 1083, 350, 1162, 18, 2046, 281, 3012, 2607, 1320, 1055, 322, 7155, 18, 22828, 4828, 3166, 687, 7760, 282, 9937, 29838, 16, 282, 4700, 16200, 28951, 29277, 12519, 6535, 697, 14703, 510, 481, 459, 29340, 19310, 778, 289, 6438, 778, 18, 640, 46458, 309, 39254, 478, 4670, 598, 1683, 549, 470, 4243, 667, 3597, 18, 27857, 8488, 4341, 1361, 658, 23106, 86, 7672, 9007, 36151, 294, 29205, 16, 309, 5156, 32717, 13072, 13846, 281, 8306, 5364, 18, 1606, 708, 33552, 35483, 309, 5358, 1733, 2095, 27980, 11210, 289, 24661, 12269, 22274, 1528, 16, 282, 1754, 7187, 16034, 2704, 1293, 2868, 18, 2046, 294, 1498, 1373, 575, 9007, 45553, 37379, 42943, 10107, 18, 378, 12255, 1157, 18039, 823, 4655, 1134, 45767, 13072, 13846, 289, 18137, 1949, 1135, 18, 2112, 978, 309, 6269, 8488, 22015, 811, 16096, 1628, 616, 1406, 328, 1175, 18, 6158, 315, 639, 360, 17577, 440, 7667, 282, 4148, 24064, 820, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 2815, 16, 374, 9650, 2582, 1423, 25620, 282, 19883, 778, 981, 23189, 309, 15602, 451, 24761, 15623, 411, 17, 431, 24891, 6454, 281, 7340, 2389, 282, 17691, 18942, 6997, 5277, 309, 30455, 315, 17, 482, 273, 440, 1310, 680, 13078, 18, 824, 505, 3163, 16, 603, 14131, 5277, 309, 22671, 13078, 2145, 2397, 12629, 6007, 541, 3623, 23990, 25045, 18, 1533, 3612, 4770, 9031, 294, 28994, 680, 13078, 16, 753, 6861, 6622, 30183, 349, 31545, 5277, 360, 27014, 18, 31224, 30, 22681, 2145, 36176, 28565, 47727, 1595, 10980, 309, 24761, 15623, 282, 38342, 16460, 282, 2630, 281, 7143, 536, 9350, 304, 18, 478, 6014, 17, 431, 5769, 995, 18812, 7340, 712, 334, 3623, 14510, 289, 18800, 7713, 3623, 541, 2759, 2553, 417, 371, 1514, 4393, 4513, 9650, 13161, 5207, 939, 20597, 25620, 282, 981, 23189, 16, 16582, 1183, 16, 309, 15602, 451, 24761, 15623, 18, 11489, 27981, 26603, 289, 28783, 365, 1605, 1182, 272, 4271, 510, 6463, 5037, 23127, 1642, 282, 3177, 43287, 18, 365, 11946, 16, 1533, 3612, 16, 5037, 23127, 1642, 5112, 9031, 309, 12127, 2145, 289, 40997, 16, 988, 9600, 9733, 5245, 30183, 282, 8156, 6997, 5277, 18, 817, 1038, 9733, 33507, 281, 29290, 411, 9526, 23836, 16, 961, 6535, 309, 13078, 18, 19695, 2145, 16, 867, 5547, 16, 322, 4452, 726, 2364, 1949, 8560, 18, 1598, 17, 431, 453, 30515, 478, 10661, 347, 13145, 470, 8811, 4447, 36193, 21429, 13225, 839, 33900, 18, 28458, 5277, 309, 13078, 2145, 281, 18050, 761, 639, 3348, 411, 12153, 27803, 416, 14016, 34031, 18, 5333, 2175, 492, 27081, 25601, 5630, 10372, 1901, 27014, 282, 4008, 18, 1787, 30490, 4830, 1247, 290, 7579, 309, 13078, 281, 18050, 761, 13337, 15764, 18, 9668, 23127, 1642, 27081, 3604, 4843, 25, 5096, 309, 7955, 5277, 18, 2046, 7340, 548, 9996, 4364 ]
[ 1177, 4871, 10059, 16, 2618, 43591, 17665, 309, 10255, 1472, 4843, 21, 16, 23, 5096, 18, 415, 37315, 409, 1055, 3111, 322, 6110, 18, 5043, 16, 309, 2580, 4830, 4424, 349, 3956, 7216, 1143, 1949, 8560, 9350, 7007, 21540, 766, 18, 4338, 5222, 16062, 1275, 282, 12797, 464, 10476, 283, 4048, 2499, 11827, 20635, 3064, 24877, 7340, 712, 16738, 1086, 349, 4871, 16, 1029, 16, 5938, 697, 6688, 16, 2010, 4045, 9350, 18, 478, 46366, 23101, 914, 5416, 4263, 3670, 16, 374, 4770, 2842, 12977, 1279, 2095, 2514, 18942, 16, 2486, 16202, 2712, 13290, 14510, 16, 289, 12314, 341, 741, 299, 309, 481, 18, 16003, 16, 374, 9449, 481, 322, 4040, 655, 2876, 417, 36348, 306, 910, 510, 1109, 4048, 2499, 11827, 282, 4542, 13516, 14788, 16040, 18, 824, 4734, 15465, 16062, 1275, 16, 1426, 16040, 2125, 37709, 28349, 281, 24049, 16, 374, 697, 11755, 14353, 1747, 24732, 18, 4048, 2499, 11827, 5273, 16, 374, 23403, 1794, 320, 10369, 432, 9206, 510, 481, 16528, 25568, 12111, 343, 18, 2263, 36176, 28565, 16, 3073, 16, 322, 42495, 12156, 309, 281, 3528, 14230, 7340, 712, 519, 8508, 18, 817, 935, 47727, 3640, 12832, 25620, 309, 31161, 1133, 21332, 282, 1423, 20245, 1066, 567, 31255, 476, 18, 1303, 30720, 28565, 7609, 282, 4377, 304, 4122, 18, 2046, 31161, 1880, 12644, 2036, 2249, 4830, 16870, 18, 20346, 5037, 23127, 1642, 14084, 10927, 281, 41006, 7340, 712, 16, 453, 289, 322, 1146, 7678, 37315, 507, 334, 23652, 14640, 382, 1810, 5439, 18, 2112, 28228, 4806, 17777, 13198, 16040, 7620, 37298, 42748, 4401, 16, 374, 46117, 39635, 322, 9733, 30429, 349, 22731, 454, 5277, 16, 4770, 2145, 36176, 28565, 282, 8224, 546, 14084, 10927, 281, 16052, 34493, 5855, 4623, 18, 478, 43588, 7777, 477, 5790, 281, 688, 7165, 2994, 1464, 748, 4309, 16, 21340, 7340, 6507, 24163, 624, 282, 12797, 464, 65, 289, 37298, 2994, 672, 310, 4401, 9142, 40842, 1783, 354, 1612, 18, 629, 2363, 16, 374, 14864, 1248, 2555, 2868, 16, 827, 417, 2156, 475, 13525, 306, 16, 387, 27092, 21447, 14250, 668, 13290, 16, 1586, 10787, 282, 965, 10255, 670, 35165, 26631, 35, 37298, 2323, 30, 50108, 18, 629, 1109, 30, 1055, 18, 2255, 309, 374, 4753, 322, 12557, 4271, 510, 6463, 28565, 282, 3177, 43287, 18, 28565, 9600, 9327, 46401, 30316, 8129, 3533, 2376, 510, 11364, 1070, 1810, 43645, 13597, 282, 7544, 309, 24552, 14250, 416, 5277, 16, 2686, 7340, 548, 20137, 47607, 18, 1658, 3612, 4770, 12679, 281, 6790, 979, 294, 21417, 18, 824, 3163, 5035, 35109, 34031, 16, 7902, 309, 13078, 2145, 289, 40997, 18267, 541, 32416, 18864, 10372, 1809, 773, 353, 13532, 18, 817, 1038, 5692, 16, 374, 475, 8044, 2145, 30121, 411, 17, 431, 10372, 2516, 18, 365, 23479, 28565, 40393, 1038, 1423, 19900, 4619, 309, 48822, 16, 961, 281, 4947, 4611, 7340, 712, 16, 7260, 16, 3929, 18691, 758, 18, 5043, 16, 428, 4725, 282, 1360, 7705, 9294, 39379, 1273, 4339, 8000, 16303, 15330, 16825, 9058, 16, 1029, 19781, 484, 309, 1949, 17144, 5856, 14886, 16, 309, 30010, 547, 38186, 390, 349, 1293, 3139, 519, 12522, 28565, 2654, 2815, 16, 374, 322, 5273, 3799, 758, 2159, 21110, 1687, 18804, 670, 935, 25620, 294, 13078, 282, 9822, 562, 16, 515, 505, 23528, 1867, 2048, 481, 2172, 1157, 18, 478, 4441, 537, 18359, 322, 39666, 16, 515, 417, 475, 3066, 14257, 481, 910, 510, 1109, 28565, 290, 36202, 309, 12127, 18, 824, 505, 3163, 16, 481, 840, 1472, 19534, 34003, 6149, 18, 478, 3743, 16, 510, 5692, 492, 16, 26388, 309, 1634, 36294, 334, 2630, 281, 3781, 323, 510, 8840, 23127, 1642, 334, 25608, 504, 15044, 33005, 324, 1624, 2725, 344, 6258, 46871, 289, 2172, 2825, 34431, 2817, 268, 2124, 272, 4013, 16, 510, 870, 1749, 10487, 1304, 4266, 16, 374, 481, 924, 2353, 861, 2, 1, 87, 1456, 81, 2448, 30, 41481, 445, 349, 4101, 2261, 986, 39406, 21035, 282, 16445, 13983, 17907, 478, 43072, 451, 16604, 779, 470, 510, 481, 14015, 25539, 10801, 1811, 446, 857, 40819, 25519, 29891, 35130, 7911, 28, 18, 6831, 18661, 31700, 567, 1209, 16061, 4678, 20142, 25941, 4364, 1333, 1505, 9588, 13269, 7547, 23766, 1643, 18, 6831, 2555, 5251, 20994, 4167, 1472, 1176, 478, 41214, 1577, 470, 411, 11736, 18, 31224, 30, 17810, 1173, 431, 1250, 16445, 4422, 13858, 11898, 12877, 34446, 593, 463, 26073, 15684, 24621, 2604, 779, 18, 33535, 886, 549, 36177, 11371, 7211, 1703, 5574, 20930, 20417, 27479, 31020, 5436, 25118, 4494, 21572, 41255, 2217, 17429, 5266, 7034, 10394, 281, 9315, 779, 18, 1258, 14020, 10801, 16, 2486, 6640, 411, 12662, 12320, 432, 31697, 14824, 411, 2555, 2044, 2422, 16, 282, 803, 1045, 3696, 857, 25984, 2496, 1209, 16061, 1437, 39406, 668, 1333, 7576, 26055, 16, 1754, 3814, 11646, 35130, 7911, 28, 18, 365, 4542, 17541, 1177, 39406, 3619, 4055, 24, 26456, 18, 27258, 3509, 7911, 28, 46137, 282, 5922, 3437, 377, 17756, 22495, 19805, 2509, 3676, 5620, 262, 2610, 30649, 430, 16, 25, 359, 289, 24512, 3703, 21, 359, 18, 267, 18, 289, 36982, 2480, 5772, 16, 4590, 2854, 2511, 21, 359, 18, 267, 18, 365, 29256, 9588, 11926, 1286, 17, 488, 36142, 13924, 549, 5127, 9862, 7802, 353, 35073, 289, 18933, 1250, 18, 7249, 309, 322, 939, 6335, 18535, 16, 20361, 349, 2948, 19000, 18017, 27513, 4973, 281, 2223, 519, 3417, 4017, 19, 283, 349, 1032, 16, 24, 281, 18, 12280, 8097, 16, 374, 349, 2651, 5901, 11898, 12877, 34446, 593, 463, 26073, 39406, 451, 20498, 266, 519, 978, 1413, 16295, 25984, 1472, 10490, 18, 996, 16, 282, 7520, 1045, 33095, 779, 2756, 39406, 549, 17510, 442, 305, 283, 296, 599, 343, 37556, 21341, 1072, 16, 367, 282, 6383, 1045, 16568, 451, 16607, 45287, 39406, 1147, 20498, 552, 1021, 43175, 49799, 2724, 18, 18098, 574, 7426, 3437, 986, 510, 3676, 818, 6965, 16604, 28857, 1302, 8430, 38, 83, 2531, 30649, 2239, 16, 10257, 359, 510, 334, 8872, 7203, 349, 4097, 282, 803, 1045, 4167, 687, 309, 2992, 1718, 4762, 16, 32471, 4016, 27, 23651, 18, 5043, 16, 13205, 20498, 266, 16, 8507, 16, 21035, 282, 9044, 478, 40593, 16736, 30649, 519, 430, 359, 861, 12250, 263, 1756, 282, 10095, 25286, 28774, 764, 6661, 3676, 5620, 2649, 344, 281, 14638, 22549, 2661, 510, 430, 16, 22, 17, 5700, 483, 825, 29885, 37, 15484, 27515, 1050, 45447, 674, 534, 16, 3279, 9727, 8171, 3333, 5936, 44549, 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 ]
[ 1177, 4871, 10059, 16, 2618, 43591, 17665, 309, 10255, 1472, 4843, 21, 16, 23, 5096, 18, 415, 37315, 409, 1055, 3111, 322, 6110, 18, 5043, 16, 309, 2580, 4830, 4424, 349, 3956, 7216, 1143, 1949, 8560, 9350, 7007, 21540, 766, 18, 4338, 5222, 16062, 1275, 282, 12797, 464, 10476, 283, 4048, 2499, 11827, 20635, 3064, 24877, 7340, 712, 16738, 1086, 349, 4871, 16, 1029, 16, 5938, 697, 6688, 16, 2010, 4045, 9350, 18, 478, 46366, 23101, 914, 5416, 4263, 3670, 16, 374, 4770, 2842, 12977, 1279, 2095, 2514, 18942, 16, 2486, 16202, 2712, 13290, 14510, 16, 289, 12314, 341, 741, 299, 309, 481, 18, 16003, 16, 374, 9449, 481, 322, 4040, 655, 2876, 417, 36348, 306, 910, 510, 1109, 4048, 2499, 11827, 282, 4542, 13516, 14788, 16040, 18, 824, 4734, 15465, 16062, 1275, 16, 1426, 16040, 2125, 37709, 28349, 281, 24049, 16, 374, 697, 11755, 14353, 1747, 24732, 18, 4048, 2499, 11827, 5273, 16, 374, 23403, 1794, 320, 10369, 432, 9206, 510, 481, 16528, 25568, 12111, 343, 18, 2263, 36176, 28565, 16, 3073, 16, 322, 42495, 12156, 309, 281, 3528, 14230, 7340, 712, 519, 8508, 18, 817, 935, 47727, 3640, 12832, 25620, 309, 31161, 1133, 21332, 282, 1423, 20245, 1066, 567, 31255, 476, 18, 1303, 30720, 28565, 7609, 282, 4377, 304, 4122, 18, 2046, 31161, 1880, 12644, 2036, 2249, 4830, 16870, 18, 20346, 5037, 23127, 1642, 14084, 10927, 281, 41006, 7340, 712, 16, 453, 289, 322, 1146, 7678, 37315, 507, 334, 23652, 14640, 382, 1810, 5439, 18, 2112, 28228, 4806, 17777, 13198, 16040, 7620, 37298, 42748, 4401, 16, 374, 46117, 39635, 322, 9733, 30429, 349, 22731, 454, 5277, 16, 4770, 2145, 36176, 28565, 282, 8224, 546, 14084, 10927, 281, 16052, 34493, 5855, 4623, 18, 478, 43588, 7777, 477, 5790, 281, 688, 7165, 2994, 1464, 748, 4309, 16, 21340, 7340, 6507, 24163, 624, 282, 12797, 464, 65, 289, 37298, 2994, 672, 310, 4401, 9142, 40842, 1783, 354, 1612, 18, 629, 2363, 16, 374, 14864, 1248, 2555, 2868, 16, 827, 417, 2156, 475, 13525, 306, 16, 387, 27092, 21447, 14250, 668, 13290, 16, 1586, 10787, 282, 965, 10255, 670, 35165, 26631, 35, 37298, 2323, 30, 50108, 18, 629, 1109, 30, 1055, 18, 2255, 309, 374, 4753, 322, 12557, 4271, 510, 6463, 28565, 282, 3177, 43287, 18, 28565, 9600, 9327, 46401, 30316, 8129, 3533, 2376, 510, 11364, 1070, 1810, 43645, 13597, 282, 7544, 309, 24552, 14250, 416, 5277, 16, 2686, 7340, 548, 20137, 47607, 18, 1658, 3612, 4770, 12679, 281, 6790, 979, 294, 21417, 18, 824, 3163, 5035, 35109, 34031, 16, 7902, 309, 13078, 2145, 289, 40997, 18267, 541, 32416, 18864, 10372, 1809, 773, 353, 13532, 18, 817, 1038, 5692, 16, 374, 475, 8044, 2145, 30121, 411, 17, 431, 10372, 2516, 18, 365, 23479, 28565, 40393, 1038, 1423, 19900, 4619, 309, 48822, 16, 961, 281, 4947, 4611, 7340, 712, 16, 7260, 16, 3929, 18691, 758, 18, 5043, 16, 428, 4725, 282, 1360, 7705, 9294, 39379, 1273, 4339, 8000, 16303, 15330, 16825, 9058, 16, 1029, 19781, 484, 309, 1949, 17144, 5856, 14886, 16, 309, 30010, 547, 38186, 390, 349, 1293, 3139, 519, 12522, 28565, 2654, 2815, 16, 374, 322, 5273, 3799, 758, 2159, 21110, 1687, 18804, 670, 935, 25620, 294, 13078, 282, 9822, 562, 16, 515, 505, 23528, 1867, 2048, 481, 2172, 1157, 18, 478, 4441, 537, 18359, 322, 39666, 16, 515, 417, 475, 3066, 14257, 481, 910, 510, 1109, 28565, 290, 36202, 309, 12127, 18, 824, 505, 3163, 16, 481, 840, 1472, 19534, 34003, 6149, 18, 478, 3743, 16, 510, 5692, 492, 16, 26388, 309, 1634, 36294, 334, 2630, 281, 3781, 323, 510, 8840, 23127, 1642, 334, 25608, 504, 15044, 33005, 324, 1624, 2725, 344, 6258, 46871, 289, 2172, 2825, 34431, 2817, 268, 2124, 272, 4013, 16, 510, 870, 1749, 10487, 1304, 4266, 16, 374, 481, 924, 2353, 861, 2, 1, 87, 1456, 81, 2448, 30, 41481, 445, 349, 4101, 2261, 986, 39406, 21035, 282, 16445, 13983, 17907, 478, 43072, 451, 16604, 779, 470, 510, 481, 14015, 25539, 10801, 1811, 446, 857, 40819, 25519, 29891, 35130, 7911, 28, 18, 6831, 18661, 31700, 567, 1209, 16061, 4678, 20142, 25941, 4364, 1333, 1505, 9588, 13269, 7547, 23766, 1643, 18, 6831, 2555, 5251, 20994, 4167, 1472, 1176, 478, 41214, 1577, 470, 411, 11736, 18, 31224, 30, 17810, 1173, 431, 1250, 16445, 4422, 13858, 11898, 12877, 34446, 593, 463, 26073, 15684, 24621, 2604, 779, 18, 33535, 886, 549, 36177, 11371, 7211, 1703, 5574, 20930, 20417, 27479, 31020, 5436, 25118, 4494, 21572, 41255, 2217, 17429, 5266, 7034, 10394, 281, 9315, 779, 18, 1258, 14020, 10801, 16, 2486, 6640, 411, 12662, 12320, 432, 31697, 14824, 411, 2555, 2044, 2422, 16, 282, 803, 1045, 3696, 857, 25984, 2496, 1209, 16061, 1437, 39406, 668, 1333, 7576, 26055, 16, 1754, 3814, 11646, 35130, 7911, 28, 18, 365, 4542, 17541, 1177, 39406, 3619, 4055, 24, 26456, 18, 27258, 3509, 7911, 28, 46137, 282, 5922, 3437, 377, 17756, 22495, 19805, 2509, 3676, 5620, 262, 2610, 30649, 430, 16, 25, 359, 289, 24512, 3703, 21, 359, 18, 267, 18, 289, 36982, 2480, 5772, 16, 4590, 2854, 2511, 21, 359, 18, 267, 18, 365, 29256, 9588, 11926, 1286, 17, 488, 36142, 13924, 549, 5127, 9862, 7802, 353, 35073, 289, 18933, 1250, 18, 7249, 309, 322, 939, 6335, 18535, 16, 20361, 349, 2948, 19000, 18017, 27513, 4973, 281, 2223, 519, 3417, 4017, 19, 283, 349, 1032, 16, 24, 281, 18, 12280, 8097, 16, 374, 349, 2651, 5901, 11898, 12877, 34446, 593, 463, 26073, 39406, 451, 20498, 266, 519, 978, 1413, 16295, 25984, 1472, 10490, 18, 996, 16, 282, 7520, 1045, 33095, 779, 2756, 39406, 549, 17510, 442, 305, 283, 296, 599, 343, 37556, 21341, 1072, 16, 367, 282, 6383, 1045, 16568, 451, 16607, 45287, 39406, 1147, 20498, 552, 1021, 43175, 49799, 2724, 18, 18098, 574, 7426, 3437, 986, 510, 3676, 818, 6965, 16604, 28857, 1302, 8430, 38, 83, 2531, 30649, 2239, 16, 10257, 359, 510, 334, 8872, 7203, 349, 4097, 282, 803, 1045, 4167, 687, 309, 2992, 1718, 4762, 16, 32471, 4016, 27, 23651, 18, 5043, 16, 13205, 20498, 266, 16, 8507, 16, 21035, 282, 9044, 478, 40593, 16736, 30649, 519, 430, 359, 861, 12250, 263, 1756, 282, 10095, 25286, 28774, 764, 6661, 3676, 5620, 2649, 344, 281, 14638, 22549, 2661, 510, 430, 16, 22, 17, 5700, 483, 825, 29885, 37, 15484, 27515, 1050, 45447, 674, 534, 16, 3279, 9727, 8171, 3333, 5936, 44549, 18 ]
[ 9873, 8649, 25286, 39406, 549, 17510, 360, 7911, 28, 906, 40569, 289, 12916, 8459, 33095, 18, 640, 7422, 2468, 282, 1335, 25286, 22607, 460, 6406, 282, 1335, 9044, 1032, 17, 5700, 11820, 478, 30722, 788, 343, 470, 281, 8921, 536, 3676, 612, 2260, 554, 7237, 16, 1754, 9727, 3935, 3655, 9019, 3509, 39181, 17, 29775, 43, 45525, 18, 2052, 2736, 334, 6432, 1876, 1251, 7911, 28, 289, 25786, 43, 17, 43, 56, 4167, 16510, 510, 816, 8799, 1279, 1939, 29, 23651, 8774, 18, 29718, 431, 2496, 41914, 38483, 6493, 671, 818, 44213, 816, 16, 29, 17, 5700, 483, 825, 1902, 28, 360, 1149, 16664, 15219, 18, 640, 803, 9764, 29891, 5018, 42504, 35130, 322, 30499, 30, 25539, 1038, 1811, 446, 857, 975, 14015, 478, 40593, 16604, 30649, 430, 16, 24, 443, 21, 16, 28, 359, 861, 4824, 411, 2337, 7325, 354, 512, 18536, 24621, 10801, 510, 4861, 5862, 2622, 1020, 441, 786, 573, 16462, 25395, 863, 715, 510, 322, 6088, 749, 46612, 289, 282, 803, 1045, 18, 46888, 3384, 1333, 2232, 17510, 5936, 24512, 519, 17427, 359, 18, 71, 18, 726, 7504, 1205, 9410, 906, 39831, 12916, 6314, 4118, 33095, 18, 41651, 16, 374, 282, 1609, 4543, 786, 573, 16462, 2036, 1773, 1176, 411, 1949, 20498, 712, 475, 924, 575, 1439, 1353, 718, 7911, 28, 18, 12250, 263, 1756, 14697, 24366, 36982, 2480, 10091, 360, 35130, 7911, 23, 18, 632, 2235, 478, 40593, 30435, 16604, 470, 25539, 1811, 446, 857, 33146, 3756, 49338, 552, 510, 23337, 1147, 1902, 28, 30649, 1032, 16, 25, 359, 16, 1029, 2353, 424, 3403, 8988, 44983, 9019, 343, 483, 1149, 16664, 15219, 16, 282, 4810, 4095, 42357, 1437, 7640, 28, 17, 295, 5936, 18, 32799, 622, 20498, 354, 282, 6099, 360, 7475, 31062, 4164, 360, 1061, 6695, 519, 5259, 25, 359, 18, 267, 18, 365, 1335, 9044, 20498, 266, 1149, 16664, 15219, 27690, 24411, 282, 5503, 6493, 671, 818, 7733, 1032, 17, 5700, 6964, 478, 30722, 788, 382, 470, 39181, 17, 29775, 43, 289, 39126, 969, 4389, 5758, 30649, 816, 16, 28, 359, 18, 3791, 2353, 8097, 16, 374, 12181, 6523, 1703, 33095, 16, 1029, 4167, 282, 2394, 16694, 10801, 16, 1559, 491, 16, 22, 17, 5700, 23079, 17934, 19733, 20498, 266, 360, 860, 5266, 19970, 16, 1029, 17234, 20038, 8934, 2584, 334, 29141, 4276, 769, 60, 17, 25, 18, 13699, 933, 33263, 8737, 395, 434, 1143, 18, 996, 16, 10398, 726, 10048, 18285, 22601, 28857, 289, 786, 573, 16462, 282, 2394, 1952, 10801, 7757, 687, 430, 17, 5700, 23079, 3676, 5620, 262, 755, 44549, 16749, 22410, 4389, 18, 2, 1, 87, 1456, 81, 2448, 30, 1182, 3201, 3281, 3232, 346, 679, 291, 18789, 5487, 11418, 281, 27218, 5791, 353, 18, 21507, 11131, 20776, 309, 28609, 11963, 17, 45360, 8468, 282, 10705, 18, 48804, 3232, 346, 679, 395, 2826, 18267, 16, 2805, 282, 4190, 12142, 16, 15833, 14697, 18, 31224, 30, 1182, 3201, 3281, 3232, 346, 679, 291, 4442, 341, 5216, 5791, 277, 1032, 16, 24, 5096, 1671, 18, 282, 2849, 281, 2604, 334, 7847, 1205, 18, 15066, 15102, 2930, 17251, 11418, 9565, 318, 281, 5439, 353, 27755, 16, 40878, 680, 18228, 16, 19262, 1703, 29192, 289, 9951, 761, 16752, 342, 39191, 18, 31434, 50077, 4486, 309, 2552, 3232, 346, 679, 282, 2849, 281, 2604, 334, 7847, 1205, 4076, 10774, 811, 13357, 2175, 30, 11674, 552, 1666, 375, 328, 473, 563, 551, 16367, 1162, 6391, 13, 651, 430, 16, 25, 5096, 1671, 2211, 24808, 1960, 17, 24569, 1957, 328, 473, 684, 339, 2477, 1162, 6391, 13, 651, 430, 16, 21, 5096, 1671, 2211, 17958, 486, 473, 684, 339, 2477, 1162, 6391, 13, 651, 2239, 16, 24, 5096, 1671, 2211, 13459, 301, 473, 8706, 2731, 343, 16752, 342, 39191, 13, 651, 2239, 16, 26, 5096, 1671, 2211, 8657, 297, 3663, 13209, 473, 1916, 2851, 4929, 778, 2743, 13, 651, 2239, 16, 28, 5096, 1671, 18, 21524, 1443, 10663, 1867, 4153, 17399, 2768, 4546, 1195, 28742, 3741, 7898, 1801, 16, 322, 11940, 281, 17036, 26503, 2134, 3920, 8743, 16, 40372, 670, 13888, 2206, 17213, 16, 24128, 541, 23563, 282, 3232, 346, 5467, 17085, 16, 4557, 15273, 22721, 1816, 3541, 289, 2393, 7461, 18, 37254, 3171, 7272, 2125, 9193, 34931, 11963, 17, 37382, 9047, 36135, 16, 49901, 3664, 697, 360, 1791, 24951, 26503, 2134, 3920, 8743, 18, 824, 3163, 20148, 8840, 727, 730, 780, 15803, 3699, 312, 342, 1043, 16, 478, 267, 3802, 14697, 727, 730, 780, 411, 21287, 2405, 39542, 15126, 289, 25125, 1924, 1053, 382, 282, 3232, 346, 5467, 292, 44929, 16, 16752, 49731, 265, 16, 27755, 289, 40878, 680, 17347, 16, 19262, 1212, 14305, 16, 1223, 639, 23194, 7667, 2261, 10266, 48163, 289, 11166, 3741, 40311, 9206, 16, 3730, 20728, 282, 3232, 346, 5467, 292, 861, 478, 13456, 656, 6354, 27405, 294, 32178, 3705, 282, 15209, 910, 376, 18584, 2712, 5037, 727, 730, 780, 18, 3699, 312, 31924, 10050, 16, 374, 541, 11131, 4748, 478, 1214, 2459, 32247, 289, 8156, 3232, 346, 679, 395, 16, 2048, 453, 16, 753, 1749, 7187, 282, 1129, 3660, 289, 3624, 861, 1182, 3201, 3281, 3232, 346, 679, 291, 16, 29704, 282, 2801, 1045, 282, 4301, 7446, 5012, 10535, 5973, 933, 2766, 291, 9001, 9620, 1624, 1943, 4366, 8940, 3860, 3232, 346, 679, 291, 18, 5360, 639, 11841, 315, 4518, 16, 26, 5096, 1671, 18, 411, 10059, 18, 365, 2343, 2801, 779, 282, 727, 730, 780, 33895, 816, 5096, 1671, 2211, 1223, 282, 6104, 22515, 10059, 309, 2604, 1205, 639, 39700, 44130, 1061, 5096, 1671, 2211, 289, 334, 1533, 16, 28, 5096, 1671, 18, 309, 4145, 289, 7847, 3142, 18, 22642, 3281, 3232, 346, 679, 291, 2805, 8252, 19055, 541, 1175, 18, 640, 1800, 282, 4008, 47360, 816, 4234, 8775, 281, 12181, 26503, 2134, 6822, 42431, 510, 745, 1441, 309, 42719, 46529, 5439, 18, 11219, 577, 282, 1967, 10705, 282, 7343, 11035, 1715, 4443, 575, 1512, 16, 3176, 289, 282, 11147, 510, 1760, 3763, 1135, 18, 49310, 3885, 1007, 309, 1421, 9044, 30, 3989, 19282, 282, 11963, 17, 7122, 29578, 9347, 473, 8564, 3232, 346, 679, 291, 934, 281, 1702, 9340, 13029, 1443, 9047, 473, 3940, 29, 13, 289, 10664, 448, 473, 14550, 814, 640, 1497, 45194, 11048, 16, 5564, 11247, 590, 287, 400, 282, 34014, 7569, 16, 12547, 411, 965, 3232, 346, 5467, 16, 282, 1639, 26503, 2134, 6301, 14591, 9914, 37865, 31117, 18, 365, 6588, 360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9873, 8649, 25286, 39406, 549, 17510, 360, 7911, 28, 906, 40569, 289, 12916, 8459, 33095, 18, 640, 7422, 2468, 282, 1335, 25286, 22607, 460, 6406, 282, 1335, 9044, 1032, 17, 5700, 11820, 478, 30722, 788, 343, 470, 281, 8921, 536, 3676, 612, 2260, 554, 7237, 16, 1754, 9727, 3935, 3655, 9019, 3509, 39181, 17, 29775, 43, 45525, 18, 2052, 2736, 334, 6432, 1876, 1251, 7911, 28, 289, 25786, 43, 17, 43, 56, 4167, 16510, 510, 816, 8799, 1279, 1939, 29, 23651, 8774, 18, 29718, 431, 2496, 41914, 38483, 6493, 671, 818, 44213, 816, 16, 29, 17, 5700, 483, 825, 1902, 28, 360, 1149, 16664, 15219, 18, 640, 803, 9764, 29891, 5018, 42504, 35130, 322, 30499, 30, 25539, 1038, 1811, 446, 857, 975, 14015, 478, 40593, 16604, 30649, 430, 16, 24, 443, 21, 16, 28, 359, 861, 4824, 411, 2337, 7325, 354, 512, 18536, 24621, 10801, 510, 4861, 5862, 2622, 1020, 441, 786, 573, 16462, 25395, 863, 715, 510, 322, 6088, 749, 46612, 289, 282, 803, 1045, 18, 46888, 3384, 1333, 2232, 17510, 5936, 24512, 519, 17427, 359, 18, 71, 18, 726, 7504, 1205, 9410, 906, 39831, 12916, 6314, 4118, 33095, 18, 41651, 16, 374, 282, 1609, 4543, 786, 573, 16462, 2036, 1773, 1176, 411, 1949, 20498, 712, 475, 924, 575, 1439, 1353, 718, 7911, 28, 18, 12250, 263, 1756, 14697, 24366, 36982, 2480, 10091, 360, 35130, 7911, 23, 18, 632, 2235, 478, 40593, 30435, 16604, 470, 25539, 1811, 446, 857, 33146, 3756, 49338, 552, 510, 23337, 1147, 1902, 28, 30649, 1032, 16, 25, 359, 16, 1029, 2353, 424, 3403, 8988, 44983, 9019, 343, 483, 1149, 16664, 15219, 16, 282, 4810, 4095, 42357, 1437, 7640, 28, 17, 295, 5936, 18, 32799, 622, 20498, 354, 282, 6099, 360, 7475, 31062, 4164, 360, 1061, 6695, 519, 5259, 25, 359, 18, 267, 18, 365, 1335, 9044, 20498, 266, 1149, 16664, 15219, 27690, 24411, 282, 5503, 6493, 671, 818, 7733, 1032, 17, 5700, 6964, 478, 30722, 788, 382, 470, 39181, 17, 29775, 43, 289, 39126, 969, 4389, 5758, 30649, 816, 16, 28, 359, 18, 3791, 2353, 8097, 16, 374, 12181, 6523, 1703, 33095, 16, 1029, 4167, 282, 2394, 16694, 10801, 16, 1559, 491, 16, 22, 17, 5700, 23079, 17934, 19733, 20498, 266, 360, 860, 5266, 19970, 16, 1029, 17234, 20038, 8934, 2584, 334, 29141, 4276, 769, 60, 17, 25, 18, 13699, 933, 33263, 8737, 395, 434, 1143, 18, 996, 16, 10398, 726, 10048, 18285, 22601, 28857, 289, 786, 573, 16462, 282, 2394, 1952, 10801, 7757, 687, 430, 17, 5700, 23079, 3676, 5620, 262, 755, 44549, 16749, 22410, 4389, 18, 2, 1, 87, 1456, 81, 2448, 30, 1182, 3201, 3281, 3232, 346, 679, 291, 18789, 5487, 11418, 281, 27218, 5791, 353, 18, 21507, 11131, 20776, 309, 28609, 11963, 17, 45360, 8468, 282, 10705, 18, 48804, 3232, 346, 679, 395, 2826, 18267, 16, 2805, 282, 4190, 12142, 16, 15833, 14697, 18, 31224, 30, 1182, 3201, 3281, 3232, 346, 679, 291, 4442, 341, 5216, 5791, 277, 1032, 16, 24, 5096, 1671, 18, 282, 2849, 281, 2604, 334, 7847, 1205, 18, 15066, 15102, 2930, 17251, 11418, 9565, 318, 281, 5439, 353, 27755, 16, 40878, 680, 18228, 16, 19262, 1703, 29192, 289, 9951, 761, 16752, 342, 39191, 18, 31434, 50077, 4486, 309, 2552, 3232, 346, 679, 282, 2849, 281, 2604, 334, 7847, 1205, 4076, 10774, 811, 13357, 2175, 30, 11674, 552, 1666, 375, 328, 473, 563, 551, 16367, 1162, 6391, 13, 651, 430, 16, 25, 5096, 1671, 2211, 24808, 1960, 17, 24569, 1957, 328, 473, 684, 339, 2477, 1162, 6391, 13, 651, 430, 16, 21, 5096, 1671, 2211, 17958, 486, 473, 684, 339, 2477, 1162, 6391, 13, 651, 2239, 16, 24, 5096, 1671, 2211, 13459, 301, 473, 8706, 2731, 343, 16752, 342, 39191, 13, 651, 2239, 16, 26, 5096, 1671, 2211, 8657, 297, 3663, 13209, 473, 1916, 2851, 4929, 778, 2743, 13, 651, 2239, 16, 28, 5096, 1671, 18, 21524, 1443, 10663, 1867, 4153, 17399, 2768, 4546, 1195, 28742, 3741, 7898, 1801, 16, 322, 11940, 281, 17036, 26503, 2134, 3920, 8743, 16, 40372, 670, 13888, 2206, 17213, 16, 24128, 541, 23563, 282, 3232, 346, 5467, 17085, 16, 4557, 15273, 22721, 1816, 3541, 289, 2393, 7461, 18, 37254, 3171, 7272, 2125, 9193, 34931, 11963, 17, 37382, 9047, 36135, 16, 49901, 3664, 697, 360, 1791, 24951, 26503, 2134, 3920, 8743, 18, 824, 3163, 20148, 8840, 727, 730, 780, 15803, 3699, 312, 342, 1043, 16, 478, 267, 3802, 14697, 727, 730, 780, 411, 21287, 2405, 39542, 15126, 289, 25125, 1924, 1053, 382, 282, 3232, 346, 5467, 292, 44929, 16, 16752, 49731, 265, 16, 27755, 289, 40878, 680, 17347, 16, 19262, 1212, 14305, 16, 1223, 639, 23194, 7667, 2261, 10266, 48163, 289, 11166, 3741, 40311, 9206, 16, 3730, 20728, 282, 3232, 346, 5467, 292, 861, 478, 13456, 656, 6354, 27405, 294, 32178, 3705, 282, 15209, 910, 376, 18584, 2712, 5037, 727, 730, 780, 18, 3699, 312, 31924, 10050, 16, 374, 541, 11131, 4748, 478, 1214, 2459, 32247, 289, 8156, 3232, 346, 679, 395, 16, 2048, 453, 16, 753, 1749, 7187, 282, 1129, 3660, 289, 3624, 861, 1182, 3201, 3281, 3232, 346, 679, 291, 16, 29704, 282, 2801, 1045, 282, 4301, 7446, 5012, 10535, 5973, 933, 2766, 291, 9001, 9620, 1624, 1943, 4366, 8940, 3860, 3232, 346, 679, 291, 18, 5360, 639, 11841, 315, 4518, 16, 26, 5096, 1671, 18, 411, 10059, 18, 365, 2343, 2801, 779, 282, 727, 730, 780, 33895, 816, 5096, 1671, 2211, 1223, 282, 6104, 22515, 10059, 309, 2604, 1205, 639, 39700, 44130, 1061, 5096, 1671, 2211, 289, 334, 1533, 16, 28, 5096, 1671, 18, 309, 4145, 289, 7847, 3142, 18, 22642, 3281, 3232, 346, 679, 291, 2805, 8252, 19055, 541, 1175, 18, 640, 1800, 282, 4008, 47360, 816, 4234, 8775, 281, 12181, 26503, 2134, 6822, 42431, 510, 745, 1441, 309, 42719, 46529, 5439, 18, 11219, 577, 282, 1967, 10705, 282, 7343, 11035, 1715, 4443, 575, 1512, 16, 3176, 289, 282, 11147, 510, 1760, 3763, 1135, 18, 49310, 3885, 1007, 309, 1421, 9044, 30, 3989, 19282, 282, 11963, 17, 7122, 29578, 9347, 473, 8564, 3232, 346, 679, 291, 934, 281, 1702, 9340, 13029, 1443, 9047, 473, 3940, 29, 13, 289, 10664, 448, 473, 14550, 814, 640, 1497, 45194, 11048, 16, 5564, 11247, 590, 287, 400, 282, 34014, 7569, 16, 12547, 411, 965, 3232, 346, 5467, 16, 282, 1639, 26503, 2134, 6301, 14591, 9914, 37865, 31117, 18, 365, 6588, 360 ]
[ 9759, 8743, 16, 367, 1038, 6271, 48003, 282, 23740, 416, 9779, 16, 25727, 2241, 282, 4190, 12142, 14322, 4619, 309, 9795, 8902, 7321, 16, 367, 2862, 16, 289, 5009, 4138, 8357, 18, 365, 9350, 5021, 779, 16, 988, 22537, 1833, 1421, 1440, 315, 11940, 1251, 1807, 5754, 510, 28995, 300, 14337, 336, 1452, 30738, 451, 4704, 2241, 478, 983, 604, 6408, 17, 3127, 48195, 910, 478, 672, 931, 300, 14337, 36736, 470, 2241, 478, 13762, 331, 3347, 645, 1535, 470, 289, 478, 780, 13021, 406, 861, 365, 3734, 1045, 3232, 346, 679, 395, 3424, 28774, 510, 1500, 575, 478, 10520, 300, 470, 5009, 2022, 14053, 10105, 33966, 718, 28237, 13230, 14264, 354, 289, 33995, 8357, 309, 14506, 2936, 1212, 28237, 32136, 14264, 464, 282, 11674, 552, 1666, 375, 2557, 18, 7758, 282, 3734, 1045, 478, 10520, 1918, 470, 3711, 11291, 1247, 26657, 7431, 816, 4500, 18, 1135, 18, 824, 3163, 8840, 334, 5645, 1918, 478, 10520, 455, 470, 19243, 3062, 364, 14740, 16, 1512, 4747, 925, 309, 2393, 4981, 670, 5754, 18, 20783, 3626, 35639, 3384, 3785, 473, 630, 26843, 13, 282, 1110, 575, 3734, 443, 8157, 6206, 30827, 35000, 8902, 309, 688, 16748, 1212, 35639, 5395, 17021, 16, 374, 11289, 857, 5303, 28111, 281, 24547, 3610, 4500, 18, 25582, 12101, 24761, 9350, 282, 1175, 1038, 895, 6392, 27904, 334, 1354, 282, 3232, 346, 5467, 292, 16, 15833, 14697, 18, 824, 18980, 3569, 28085, 347, 1624, 294, 9747, 3990, 5630, 10211, 44083, 11854, 473, 275, 566, 973, 309, 6646, 309, 21767, 5197, 13, 30307, 857, 349, 430, 3763, 1135, 18, 365, 17618, 3232, 346, 679, 291, 726, 1314, 3860, 510, 11159, 404, 1615, 328, 282, 18097, 1212, 14305, 33144, 12376, 8684, 24562, 309, 26503, 2134, 22027, 24224, 478, 22766, 315, 17, 18788, 3384, 3785, 9689, 861, 2949, 924, 16, 309, 25991, 478, 8966, 2749, 2328, 15246, 1812, 6524, 354, 25282, 16570, 861, 7263, 346, 5467, 282, 1175, 510, 6439, 322, 22125, 2299, 289, 322, 6705, 12142, 18, 478, 1605, 2840, 23652, 986, 8978, 16, 510, 2548, 21576, 12189, 16986, 34902, 37382, 11806, 289, 36101, 2514, 18604, 2682, 473, 3127, 12868, 15503, 13, 7550, 2227, 22689, 18, 510, 889, 41915, 3514, 274, 6439, 289, 50162, 676, 18, 46928, 17, 1796, 19793, 827, 289, 31660, 9099, 3860, 510, 371, 12215, 763, 17654, 5538, 16, 3057, 16, 322, 8647, 281, 3232, 346, 5467, 353, 16, 515, 281, 3950, 3334, 4555, 4869, 16, 510, 502, 4703, 8622, 6554, 697, 4426, 1360, 18839, 36977, 18, 365, 1175, 475, 17, 2767, 939, 7616, 315, 679, 539, 43062, 289, 43933, 8149, 16, 367, 1038, 6228, 20010, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 33769, 31323, 8234, 41252, 16626, 35436, 45965, 478, 23739, 17, 1916, 272, 363, 861, 25647, 429, 31672, 11257, 6396, 1205, 1011, 36013, 309, 15091, 18840, 3847, 18, 640, 9033, 1165, 19286, 14838, 416, 3566, 266, 289, 14052, 2232, 2301, 9890, 44534, 382, 18, 824, 3163, 9362, 7225, 45965, 16, 25051, 15560, 847, 309, 10854, 282, 6374, 27, 4995, 16, 289, 722, 4385, 12269, 281, 23899, 23734, 18, 31224, 30, 6706, 869, 17, 5350, 1133, 3402, 45965, 49101, 282, 43287, 8234, 41252, 16626, 478, 23739, 17, 1916, 272, 363, 910, 26495, 1027, 1205, 2222, 2158, 282, 18840, 14948, 30354, 18, 640, 9033, 1165, 21349, 637, 11664, 9890, 49473, 17713, 16, 367, 1038, 14838, 416, 3566, 266, 18, 478, 12134, 326, 11428, 4646, 6025, 2393, 2095, 41252, 16626, 2708, 973, 13127, 289, 6575, 16, 961, 24706, 20535, 289, 45986, 910, 510, 12002, 282, 35436, 45965, 18, 478, 23739, 17, 1916, 272, 363, 470, 15560, 847, 309, 15091, 18840, 3847, 309, 10854, 6374, 27, 4995, 18, 824, 3163, 9362, 7225, 2553, 415, 43123, 439, 877, 11437, 16, 12269, 44534, 454, 477, 23734, 5420, 478, 404, 40779, 411, 17, 431, 14236, 15662, 289, 14412, 4076, 470, 541, 18446, 44724, 416, 6053, 18, 824, 4734, 7987, 16, 16395, 478, 23739, 17, 1916, 272, 2334, 470, 281, 1574, 21123, 895, 16285, 282, 1033, 828, 4843, 21, 5096, 18, 1281, 4120, 4770, 45965, 1789, 20788, 46023, 47743, 10218, 3437, 22044, 451, 36458, 334, 7917, 1744, 41252, 16626, 478, 23739, 17, 1916, 272, 363, 861, 1870, 5039, 34492, 5222, 29608, 475, 2553, 16, 961, 20146, 282, 46838, 6053, 16, 282, 697, 2875, 651, 3771, 289, 2145, 18, 365, 6642, 290, 12343, 5420, 1165, 334, 3025, 24855, 404, 33905, 949, 16946, 289, 15830, 382, 18, 4922, 21982, 5806, 906, 1978, 798, 25189, 3623, 2553, 15145, 14325, 21604, 271, 41819, 18, 478, 1358, 15395, 34015, 1755, 306, 16, 6798, 17, 5350, 2127, 46739, 4876, 16, 10337, 668, 15913, 289, 15913, 3623, 30422, 712, 16, 753, 745, 34339, 294, 1299, 282, 44275, 1783, 10884, 16, 38733, 294, 10103, 957, 289, 2302, 6016, 949, 16946, 334, 3025, 4008, 282, 1808, 16, 785, 478, 23739, 17, 1916, 272, 363, 470, 20098, 281, 12499, 483, 16, 282, 6642, 290, 13908, 4181, 1751, 40524, 37707, 11604, 910, 651, 9321, 8099, 18, 1681, 3704, 454, 11257, 2123, 4120, 16, 39409, 1033, 779, 6396, 1011, 36013, 18, 478, 23739, 17, 1916, 272, 363, 470, 685, 22525, 40524, 26597, 11024, 1621, 36184, 30340, 40008, 281, 3195, 1560, 10763, 379, 6699, 5288, 39581, 434, 14392, 18, 450, 511, 388, 17, 42237, 3384, 8388, 549, 25051, 478, 23739, 17, 1916, 272, 363, 470, 19327, 13761, 309, 6807, 1760, 4120, 18, 25647, 429, 3854, 35436, 45965, 281, 13908, 19157, 15574, 6276, 282, 4993, 281, 10528, 608, 2142, 525, 16, 10052, 9037, 294, 9265, 17, 41579, 360, 9020, 13766, 1043, 19604, 342, 309, 12542, 8230, 19198, 6020, 18, 2112, 978, 478, 23739, 17, 1916, 272, 363, 470, 10576, 282, 4148, 371, 43007, 2101, 17, 2429, 17, 29948, 354, 18, 12167, 15021, 281, 1551, 547, 685, 12642, 282, 3948, 24783, 6258, 17, 1916, 350, 6755, 16, 1251, 31578, 17, 1009, 433, 964, 3032, 289, 2228, 3651, 299, 17, 822, 501, 578, 262, 282, 1032, 8914, 4017, 360, 20381, 18, 478, 23739, 17, 1916, 272, 363, 470, 685, 3118, 4451, 1235, 282, 3198, 12677, 282, 3178, 4317, 2571, 46895, 280, 18, 1367, 803, 13120, 282, 30989, 3594, 6798, 17, 47542, 15168, 2145, 18, 44761, 16, 334, 16411, 17289, 3077, 451, 7518, 2754, 2986, 282, 4070, 345, 1388, 304, 27301, 11186, 16, 11540, 309, 10854, 10367, 4995, 18, 21886, 16, 374, 5024, 15811, 19124, 3440, 9107, 1398, 27795, 1612, 541, 27287, 2198, 21823, 4905, 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 ]
[ 9759, 8743, 16, 367, 1038, 6271, 48003, 282, 23740, 416, 9779, 16, 25727, 2241, 282, 4190, 12142, 14322, 4619, 309, 9795, 8902, 7321, 16, 367, 2862, 16, 289, 5009, 4138, 8357, 18, 365, 9350, 5021, 779, 16, 988, 22537, 1833, 1421, 1440, 315, 11940, 1251, 1807, 5754, 510, 28995, 300, 14337, 336, 1452, 30738, 451, 4704, 2241, 478, 983, 604, 6408, 17, 3127, 48195, 910, 478, 672, 931, 300, 14337, 36736, 470, 2241, 478, 13762, 331, 3347, 645, 1535, 470, 289, 478, 780, 13021, 406, 861, 365, 3734, 1045, 3232, 346, 679, 395, 3424, 28774, 510, 1500, 575, 478, 10520, 300, 470, 5009, 2022, 14053, 10105, 33966, 718, 28237, 13230, 14264, 354, 289, 33995, 8357, 309, 14506, 2936, 1212, 28237, 32136, 14264, 464, 282, 11674, 552, 1666, 375, 2557, 18, 7758, 282, 3734, 1045, 478, 10520, 1918, 470, 3711, 11291, 1247, 26657, 7431, 816, 4500, 18, 1135, 18, 824, 3163, 8840, 334, 5645, 1918, 478, 10520, 455, 470, 19243, 3062, 364, 14740, 16, 1512, 4747, 925, 309, 2393, 4981, 670, 5754, 18, 20783, 3626, 35639, 3384, 3785, 473, 630, 26843, 13, 282, 1110, 575, 3734, 443, 8157, 6206, 30827, 35000, 8902, 309, 688, 16748, 1212, 35639, 5395, 17021, 16, 374, 11289, 857, 5303, 28111, 281, 24547, 3610, 4500, 18, 25582, 12101, 24761, 9350, 282, 1175, 1038, 895, 6392, 27904, 334, 1354, 282, 3232, 346, 5467, 292, 16, 15833, 14697, 18, 824, 18980, 3569, 28085, 347, 1624, 294, 9747, 3990, 5630, 10211, 44083, 11854, 473, 275, 566, 973, 309, 6646, 309, 21767, 5197, 13, 30307, 857, 349, 430, 3763, 1135, 18, 365, 17618, 3232, 346, 679, 291, 726, 1314, 3860, 510, 11159, 404, 1615, 328, 282, 18097, 1212, 14305, 33144, 12376, 8684, 24562, 309, 26503, 2134, 22027, 24224, 478, 22766, 315, 17, 18788, 3384, 3785, 9689, 861, 2949, 924, 16, 309, 25991, 478, 8966, 2749, 2328, 15246, 1812, 6524, 354, 25282, 16570, 861, 7263, 346, 5467, 282, 1175, 510, 6439, 322, 22125, 2299, 289, 322, 6705, 12142, 18, 478, 1605, 2840, 23652, 986, 8978, 16, 510, 2548, 21576, 12189, 16986, 34902, 37382, 11806, 289, 36101, 2514, 18604, 2682, 473, 3127, 12868, 15503, 13, 7550, 2227, 22689, 18, 510, 889, 41915, 3514, 274, 6439, 289, 50162, 676, 18, 46928, 17, 1796, 19793, 827, 289, 31660, 9099, 3860, 510, 371, 12215, 763, 17654, 5538, 16, 3057, 16, 322, 8647, 281, 3232, 346, 5467, 353, 16, 515, 281, 3950, 3334, 4555, 4869, 16, 510, 502, 4703, 8622, 6554, 697, 4426, 1360, 18839, 36977, 18, 365, 1175, 475, 17, 2767, 939, 7616, 315, 679, 539, 43062, 289, 43933, 8149, 16, 367, 1038, 6228, 20010, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 33769, 31323, 8234, 41252, 16626, 35436, 45965, 478, 23739, 17, 1916, 272, 363, 861, 25647, 429, 31672, 11257, 6396, 1205, 1011, 36013, 309, 15091, 18840, 3847, 18, 640, 9033, 1165, 19286, 14838, 416, 3566, 266, 289, 14052, 2232, 2301, 9890, 44534, 382, 18, 824, 3163, 9362, 7225, 45965, 16, 25051, 15560, 847, 309, 10854, 282, 6374, 27, 4995, 16, 289, 722, 4385, 12269, 281, 23899, 23734, 18, 31224, 30, 6706, 869, 17, 5350, 1133, 3402, 45965, 49101, 282, 43287, 8234, 41252, 16626, 478, 23739, 17, 1916, 272, 363, 910, 26495, 1027, 1205, 2222, 2158, 282, 18840, 14948, 30354, 18, 640, 9033, 1165, 21349, 637, 11664, 9890, 49473, 17713, 16, 367, 1038, 14838, 416, 3566, 266, 18, 478, 12134, 326, 11428, 4646, 6025, 2393, 2095, 41252, 16626, 2708, 973, 13127, 289, 6575, 16, 961, 24706, 20535, 289, 45986, 910, 510, 12002, 282, 35436, 45965, 18, 478, 23739, 17, 1916, 272, 363, 470, 15560, 847, 309, 15091, 18840, 3847, 309, 10854, 6374, 27, 4995, 18, 824, 3163, 9362, 7225, 2553, 415, 43123, 439, 877, 11437, 16, 12269, 44534, 454, 477, 23734, 5420, 478, 404, 40779, 411, 17, 431, 14236, 15662, 289, 14412, 4076, 470, 541, 18446, 44724, 416, 6053, 18, 824, 4734, 7987, 16, 16395, 478, 23739, 17, 1916, 272, 2334, 470, 281, 1574, 21123, 895, 16285, 282, 1033, 828, 4843, 21, 5096, 18, 1281, 4120, 4770, 45965, 1789, 20788, 46023, 47743, 10218, 3437, 22044, 451, 36458, 334, 7917, 1744, 41252, 16626, 478, 23739, 17, 1916, 272, 363, 861, 1870, 5039, 34492, 5222, 29608, 475, 2553, 16, 961, 20146, 282, 46838, 6053, 16, 282, 697, 2875, 651, 3771, 289, 2145, 18, 365, 6642, 290, 12343, 5420, 1165, 334, 3025, 24855, 404, 33905, 949, 16946, 289, 15830, 382, 18, 4922, 21982, 5806, 906, 1978, 798, 25189, 3623, 2553, 15145, 14325, 21604, 271, 41819, 18, 478, 1358, 15395, 34015, 1755, 306, 16, 6798, 17, 5350, 2127, 46739, 4876, 16, 10337, 668, 15913, 289, 15913, 3623, 30422, 712, 16, 753, 745, 34339, 294, 1299, 282, 44275, 1783, 10884, 16, 38733, 294, 10103, 957, 289, 2302, 6016, 949, 16946, 334, 3025, 4008, 282, 1808, 16, 785, 478, 23739, 17, 1916, 272, 363, 470, 20098, 281, 12499, 483, 16, 282, 6642, 290, 13908, 4181, 1751, 40524, 37707, 11604, 910, 651, 9321, 8099, 18, 1681, 3704, 454, 11257, 2123, 4120, 16, 39409, 1033, 779, 6396, 1011, 36013, 18, 478, 23739, 17, 1916, 272, 363, 470, 685, 22525, 40524, 26597, 11024, 1621, 36184, 30340, 40008, 281, 3195, 1560, 10763, 379, 6699, 5288, 39581, 434, 14392, 18, 450, 511, 388, 17, 42237, 3384, 8388, 549, 25051, 478, 23739, 17, 1916, 272, 363, 470, 19327, 13761, 309, 6807, 1760, 4120, 18, 25647, 429, 3854, 35436, 45965, 281, 13908, 19157, 15574, 6276, 282, 4993, 281, 10528, 608, 2142, 525, 16, 10052, 9037, 294, 9265, 17, 41579, 360, 9020, 13766, 1043, 19604, 342, 309, 12542, 8230, 19198, 6020, 18, 2112, 978, 478, 23739, 17, 1916, 272, 363, 470, 10576, 282, 4148, 371, 43007, 2101, 17, 2429, 17, 29948, 354, 18, 12167, 15021, 281, 1551, 547, 685, 12642, 282, 3948, 24783, 6258, 17, 1916, 350, 6755, 16, 1251, 31578, 17, 1009, 433, 964, 3032, 289, 2228, 3651, 299, 17, 822, 501, 578, 262, 282, 1032, 8914, 4017, 360, 20381, 18, 478, 23739, 17, 1916, 272, 363, 470, 685, 3118, 4451, 1235, 282, 3198, 12677, 282, 3178, 4317, 2571, 46895, 280, 18, 1367, 803, 13120, 282, 30989, 3594, 6798, 17, 47542, 15168, 2145, 18, 44761, 16, 334, 16411, 17289, 3077, 451, 7518, 2754, 2986, 282, 4070, 345, 1388, 304, 27301, 11186, 16, 11540, 309, 10854, 10367, 4995, 18, 21886, 16, 374, 5024, 15811, 19124, 3440, 9107, 1398, 27795, 1612, 541, 27287, 2198, 21823, 4905, 16 ]
[ 289, 42900, 309, 49473, 33386, 9100, 9847, 289, 749, 30187, 18, 4039, 4120, 7847, 779, 40524, 1520, 1162, 9063, 6824, 559, 410, 40623, 7970, 6529, 8508, 8862, 281, 27980, 41252, 16626, 35436, 45965, 478, 23739, 17, 1916, 272, 363, 861, 365, 9907, 5130, 16, 374, 47786, 5865, 1248, 6138, 38037, 23735, 282, 27691, 37100, 668, 31757, 18, 889, 22444, 18964, 21951, 11346, 44957, 16, 289, 282, 17939, 482, 281, 46215, 2608, 32725, 8107, 18, 478, 16563, 454, 12905, 1250, 40402, 2095, 7451, 411, 14621, 18, 20390, 368, 19171, 322, 15464, 18, 17396, 626, 306, 8831, 282, 11069, 910, 510, 13598, 2332, 285, 411, 1671, 382, 44534, 382, 18, 2112, 36013, 49473, 17713, 281, 5420, 1082, 35436, 45965, 6938, 4732, 8203, 615, 17, 39842, 11343, 14492, 18, 640, 7266, 5196, 282, 2246, 1014, 973, 47412, 4190, 651, 282, 2849, 17517, 3536, 651, 40524, 1520, 1133, 42900, 1974, 281, 5420, 1082, 411, 1888, 2044, 20733, 44534, 454, 16, 322, 32323, 12156, 3089, 8388, 1051, 18, 2046, 1011, 978, 12783, 8008, 7870, 15849, 906, 2010, 8991, 16, 3387, 294, 2222, 18254, 329, 15574, 478, 23739, 17, 1916, 272, 2334, 470, 726, 322, 639, 4302, 20163, 20059, 18, 30587, 2232, 15849, 16, 867, 322, 2619, 16, 15177, 701, 18, 31529, 42900, 1038, 20146, 282, 11976, 478, 23739, 17, 1916, 272, 2334, 861, 26444, 29078, 314, 451, 1560, 10763, 379, 5367, 1331, 1004, 5367, 8388, 451, 11341, 478, 672, 363, 3850, 23162, 470, 3215, 2518, 5552, 808, 24730, 32370, 23734, 3700, 18840, 6507, 16271, 16, 988, 685, 282, 4722, 445, 2264, 928, 478, 23739, 17, 1916, 272, 363, 861, 16774, 7414, 41905, 281, 27980, 15832, 718, 17257, 478, 29464, 47717, 861, 365, 2343, 3612, 11826, 779, 4770, 45965, 1789, 20788, 46023, 47743, 29608, 7179, 7276, 877, 9001, 9620, 349, 3961, 282, 11976, 26495, 1027, 41252, 16626, 18, 365, 3998, 11738, 309, 34077, 5066, 282, 32094, 47743, 4725, 3455, 1175, 282, 8203, 615, 17, 39842, 4946, 6053, 289, 9299, 16, 374, 481, 16672, 381, 722, 4599, 294, 24855, 404, 18, 478, 677, 1175, 898, 1320, 15133, 2257, 13228, 16, 11419, 281, 8388, 536, 46542, 18, 459, 656, 16, 2091, 16, 24134, 7906, 7032, 4481, 32382, 18, 14256, 564, 4366, 282, 11976, 41252, 16626, 639, 5773, 25194, 541, 813, 910, 510, 2815, 4770, 1175, 4137, 6732, 1492, 2, 1, 87, 1456, 81, 2448, 30, 25769, 14538, 6489, 576, 26819, 8187, 434, 10687, 365, 9827, 2407, 334, 3357, 8546, 289, 21263, 277, 4092, 17937, 478, 37239, 4000, 861, 31529, 19208, 33168, 33230, 1157, 20448, 289, 1817, 46018, 40518, 25167, 20448, 16, 282, 697, 2875, 651, 19668, 367, 301, 17, 40838, 669, 307, 289, 764, 1293, 2019, 1275, 411, 23676, 30661, 18, 824, 3163, 14840, 19267, 18083, 40596, 1235, 3340, 16, 30623, 783, 15581, 13858, 26755, 17567, 30917, 282, 8144, 478, 50168, 2518, 798, 861, 31224, 30, 677, 48638, 19267, 1175, 39592, 823, 582, 32539, 16, 428, 19208, 365, 9827, 2407, 26480, 467, 33230, 1157, 289, 47376, 18981, 4092, 17937, 478, 37239, 4000, 910, 49281, 282, 38104, 411, 28074, 541, 19337, 917, 1110, 41684, 16, 374, 519, 4319, 1326, 16995, 282, 3948, 13795, 2198, 16276, 269, 17, 599, 288, 17, 1295, 1891, 18, 2949, 924, 16, 764, 1176, 5447, 1256, 685, 7730, 286, 334, 8736, 1876, 282, 3948, 28223, 17, 684, 339, 12169, 16, 374, 1038, 32539, 309, 6567, 2244, 18, 4756, 282, 11877, 12117, 5854, 9322, 11413, 2407, 6118, 17, 32743, 7550, 40596, 1235, 523, 3828, 16, 374, 365, 9827, 282, 4542, 6940, 6053, 282, 8144, 33168, 1817, 478, 3123, 1348, 432, 40518, 25167, 20448, 16, 2019, 1275, 411, 23676, 30661, 861, 3791, 6118, 17, 32743, 40596, 1235, 523, 4848, 381, 5447, 795, 298, 334, 39795, 395, 282, 3948, 48284, 2660, 274, 1428, 18, 3026, 365, 9827, 33168, 3541, 451, 11299, 18981, 289, 519, 6459, 15581, 16, 282, 2875, 1639, 510, 10384, 2019, 1275, 411, 23676, 30661, 18, 3791, 10933, 9637, 19208, 33168, 1281, 26556, 3899, 281, 2399, 3305, 45374, 758, 11139, 9832, 450, 1464, 684, 289, 325, 11521, 758, 1958, 1082, 16, 367, 3235, 924, 651, 1421, 26806, 29252, 18, 2949, 924, 16, 40596, 1235, 523, 3828, 16, 374, 478, 306, 45994, 16276, 269, 17, 599, 288, 17, 1295, 1891, 282, 27002, 5217, 1764, 399, 1155, 7218, 536, 17192, 16147, 1390, 8240, 7796, 42724, 47664, 1033, 5259, 15581, 16, 2019, 1275, 411, 16879, 16, 5649, 36528, 289, 37225, 680, 6664, 21620, 861, 7100, 16, 282, 3198, 10687, 365, 9827, 334, 3541, 1147, 32432, 478, 37239, 4000, 470, 424, 47092, 17, 563, 1285, 343, 17003, 898, 16147, 6025, 9208, 40518, 25167, 367, 301, 17, 40838, 669, 307, 651, 28223, 415, 3852, 1624, 32989, 446, 1428, 289, 385, 12536, 446, 1428, 18, 32924, 17, 40838, 669, 307, 651, 2301, 453, 24941, 537, 267, 919, 16, 367, 17863, 17, 32512, 10987, 718, 3946, 16, 2766, 34266, 309, 23020, 1880, 23370, 9361, 1887, 18, 40596, 1235, 523, 4848, 16, 374, 1188, 17192, 1293, 9909, 42916, 45877, 35465, 10445, 8187, 315, 17, 264, 8270, 5355, 10687, 16, 4419, 7730, 2198, 282, 3948, 48284, 12188, 47092, 17, 563, 1285, 343, 1183, 309, 20541, 26436, 28223, 17, 684, 339, 12169, 18, 365, 3198, 978, 10687, 685, 44971, 11299, 3594, 478, 37239, 4000, 470, 289, 1033, 2555, 15581, 16, 44531, 282, 1169, 18, 478, 4408, 3352, 16, 38987, 334, 32750, 42385, 289, 8297, 1734, 478, 324, 4841, 910, 32857, 14106, 808, 3097, 342, 6519, 282, 26796, 20276, 448, 474, 12886, 41751, 30917, 16, 2019, 873, 411, 23676, 30661, 30, 28223, 415, 3852, 367, 301, 17, 40838, 669, 307, 16, 32989, 446, 1428, 367, 301, 17, 40838, 669, 307, 289, 385, 12536, 446, 1428, 367, 301, 17, 40838, 669, 307, 910, 510, 1109, 40596, 1235, 523, 18, 824, 3163, 40596, 1235, 3340, 16, 30623, 783, 15581, 20448, 282, 8144, 840, 2518, 798, 18, 28223, 415, 3852, 367, 301, 17, 40838, 669, 307, 16, 1038, 10193, 428, 14879, 10517, 3881, 48478, 598, 10754, 3495, 13760, 16821, 16, 15344, 3348, 411, 478, 418, 1378, 18034, 470, 30917, 18, 365, 11872, 5049, 779, 16, 10265, 11962, 5368, 21435, 680, 4257, 16, 13694, 3455, 282, 4154, 6238, 41938, 282, 13340, 38789, 18, 31460, 5136, 2815, 381, 4088, 763, 28223, 415, 22218, 367, 301, 17, 40838, 669, 307, 764, 282, 11500, 4145, 779, 18, 25652, 17, 15975, 9322, 11413, 2145, 15330, 35896, 2815, 16, 374, 478, 24239, 411, 5037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 42900, 309, 49473, 33386, 9100, 9847, 289, 749, 30187, 18, 4039, 4120, 7847, 779, 40524, 1520, 1162, 9063, 6824, 559, 410, 40623, 7970, 6529, 8508, 8862, 281, 27980, 41252, 16626, 35436, 45965, 478, 23739, 17, 1916, 272, 363, 861, 365, 9907, 5130, 16, 374, 47786, 5865, 1248, 6138, 38037, 23735, 282, 27691, 37100, 668, 31757, 18, 889, 22444, 18964, 21951, 11346, 44957, 16, 289, 282, 17939, 482, 281, 46215, 2608, 32725, 8107, 18, 478, 16563, 454, 12905, 1250, 40402, 2095, 7451, 411, 14621, 18, 20390, 368, 19171, 322, 15464, 18, 17396, 626, 306, 8831, 282, 11069, 910, 510, 13598, 2332, 285, 411, 1671, 382, 44534, 382, 18, 2112, 36013, 49473, 17713, 281, 5420, 1082, 35436, 45965, 6938, 4732, 8203, 615, 17, 39842, 11343, 14492, 18, 640, 7266, 5196, 282, 2246, 1014, 973, 47412, 4190, 651, 282, 2849, 17517, 3536, 651, 40524, 1520, 1133, 42900, 1974, 281, 5420, 1082, 411, 1888, 2044, 20733, 44534, 454, 16, 322, 32323, 12156, 3089, 8388, 1051, 18, 2046, 1011, 978, 12783, 8008, 7870, 15849, 906, 2010, 8991, 16, 3387, 294, 2222, 18254, 329, 15574, 478, 23739, 17, 1916, 272, 2334, 470, 726, 322, 639, 4302, 20163, 20059, 18, 30587, 2232, 15849, 16, 867, 322, 2619, 16, 15177, 701, 18, 31529, 42900, 1038, 20146, 282, 11976, 478, 23739, 17, 1916, 272, 2334, 861, 26444, 29078, 314, 451, 1560, 10763, 379, 5367, 1331, 1004, 5367, 8388, 451, 11341, 478, 672, 363, 3850, 23162, 470, 3215, 2518, 5552, 808, 24730, 32370, 23734, 3700, 18840, 6507, 16271, 16, 988, 685, 282, 4722, 445, 2264, 928, 478, 23739, 17, 1916, 272, 363, 861, 16774, 7414, 41905, 281, 27980, 15832, 718, 17257, 478, 29464, 47717, 861, 365, 2343, 3612, 11826, 779, 4770, 45965, 1789, 20788, 46023, 47743, 29608, 7179, 7276, 877, 9001, 9620, 349, 3961, 282, 11976, 26495, 1027, 41252, 16626, 18, 365, 3998, 11738, 309, 34077, 5066, 282, 32094, 47743, 4725, 3455, 1175, 282, 8203, 615, 17, 39842, 4946, 6053, 289, 9299, 16, 374, 481, 16672, 381, 722, 4599, 294, 24855, 404, 18, 478, 677, 1175, 898, 1320, 15133, 2257, 13228, 16, 11419, 281, 8388, 536, 46542, 18, 459, 656, 16, 2091, 16, 24134, 7906, 7032, 4481, 32382, 18, 14256, 564, 4366, 282, 11976, 41252, 16626, 639, 5773, 25194, 541, 813, 910, 510, 2815, 4770, 1175, 4137, 6732, 1492, 2, 1, 87, 1456, 81, 2448, 30, 25769, 14538, 6489, 576, 26819, 8187, 434, 10687, 365, 9827, 2407, 334, 3357, 8546, 289, 21263, 277, 4092, 17937, 478, 37239, 4000, 861, 31529, 19208, 33168, 33230, 1157, 20448, 289, 1817, 46018, 40518, 25167, 20448, 16, 282, 697, 2875, 651, 19668, 367, 301, 17, 40838, 669, 307, 289, 764, 1293, 2019, 1275, 411, 23676, 30661, 18, 824, 3163, 14840, 19267, 18083, 40596, 1235, 3340, 16, 30623, 783, 15581, 13858, 26755, 17567, 30917, 282, 8144, 478, 50168, 2518, 798, 861, 31224, 30, 677, 48638, 19267, 1175, 39592, 823, 582, 32539, 16, 428, 19208, 365, 9827, 2407, 26480, 467, 33230, 1157, 289, 47376, 18981, 4092, 17937, 478, 37239, 4000, 910, 49281, 282, 38104, 411, 28074, 541, 19337, 917, 1110, 41684, 16, 374, 519, 4319, 1326, 16995, 282, 3948, 13795, 2198, 16276, 269, 17, 599, 288, 17, 1295, 1891, 18, 2949, 924, 16, 764, 1176, 5447, 1256, 685, 7730, 286, 334, 8736, 1876, 282, 3948, 28223, 17, 684, 339, 12169, 16, 374, 1038, 32539, 309, 6567, 2244, 18, 4756, 282, 11877, 12117, 5854, 9322, 11413, 2407, 6118, 17, 32743, 7550, 40596, 1235, 523, 3828, 16, 374, 365, 9827, 282, 4542, 6940, 6053, 282, 8144, 33168, 1817, 478, 3123, 1348, 432, 40518, 25167, 20448, 16, 2019, 1275, 411, 23676, 30661, 861, 3791, 6118, 17, 32743, 40596, 1235, 523, 4848, 381, 5447, 795, 298, 334, 39795, 395, 282, 3948, 48284, 2660, 274, 1428, 18, 3026, 365, 9827, 33168, 3541, 451, 11299, 18981, 289, 519, 6459, 15581, 16, 282, 2875, 1639, 510, 10384, 2019, 1275, 411, 23676, 30661, 18, 3791, 10933, 9637, 19208, 33168, 1281, 26556, 3899, 281, 2399, 3305, 45374, 758, 11139, 9832, 450, 1464, 684, 289, 325, 11521, 758, 1958, 1082, 16, 367, 3235, 924, 651, 1421, 26806, 29252, 18, 2949, 924, 16, 40596, 1235, 523, 3828, 16, 374, 478, 306, 45994, 16276, 269, 17, 599, 288, 17, 1295, 1891, 282, 27002, 5217, 1764, 399, 1155, 7218, 536, 17192, 16147, 1390, 8240, 7796, 42724, 47664, 1033, 5259, 15581, 16, 2019, 1275, 411, 16879, 16, 5649, 36528, 289, 37225, 680, 6664, 21620, 861, 7100, 16, 282, 3198, 10687, 365, 9827, 334, 3541, 1147, 32432, 478, 37239, 4000, 470, 424, 47092, 17, 563, 1285, 343, 17003, 898, 16147, 6025, 9208, 40518, 25167, 367, 301, 17, 40838, 669, 307, 651, 28223, 415, 3852, 1624, 32989, 446, 1428, 289, 385, 12536, 446, 1428, 18, 32924, 17, 40838, 669, 307, 651, 2301, 453, 24941, 537, 267, 919, 16, 367, 17863, 17, 32512, 10987, 718, 3946, 16, 2766, 34266, 309, 23020, 1880, 23370, 9361, 1887, 18, 40596, 1235, 523, 4848, 16, 374, 1188, 17192, 1293, 9909, 42916, 45877, 35465, 10445, 8187, 315, 17, 264, 8270, 5355, 10687, 16, 4419, 7730, 2198, 282, 3948, 48284, 12188, 47092, 17, 563, 1285, 343, 1183, 309, 20541, 26436, 28223, 17, 684, 339, 12169, 18, 365, 3198, 978, 10687, 685, 44971, 11299, 3594, 478, 37239, 4000, 470, 289, 1033, 2555, 15581, 16, 44531, 282, 1169, 18, 478, 4408, 3352, 16, 38987, 334, 32750, 42385, 289, 8297, 1734, 478, 324, 4841, 910, 32857, 14106, 808, 3097, 342, 6519, 282, 26796, 20276, 448, 474, 12886, 41751, 30917, 16, 2019, 873, 411, 23676, 30661, 30, 28223, 415, 3852, 367, 301, 17, 40838, 669, 307, 16, 32989, 446, 1428, 367, 301, 17, 40838, 669, 307, 289, 385, 12536, 446, 1428, 367, 301, 17, 40838, 669, 307, 910, 510, 1109, 40596, 1235, 523, 18, 824, 3163, 40596, 1235, 3340, 16, 30623, 783, 15581, 20448, 282, 8144, 840, 2518, 798, 18, 28223, 415, 3852, 367, 301, 17, 40838, 669, 307, 16, 1038, 10193, 428, 14879, 10517, 3881, 48478, 598, 10754, 3495, 13760, 16821, 16, 15344, 3348, 411, 478, 418, 1378, 18034, 470, 30917, 18, 365, 11872, 5049, 779, 16, 10265, 11962, 5368, 21435, 680, 4257, 16, 13694, 3455, 282, 4154, 6238, 41938, 282, 13340, 38789, 18, 31460, 5136, 2815, 381, 4088, 763, 28223, 415, 22218, 367, 301, 17, 40838, 669, 307, 764, 282, 11500, 4145, 779, 18, 25652, 17, 15975, 9322, 11413, 2145, 15330, 35896, 2815, 16, 374, 478, 24239, 411, 5037 ]
[ 1532, 20448, 334, 48664, 28223, 608, 3852, 367, 301, 17, 40838, 669, 307, 16, 7260, 16, 685, 44971, 282, 3198, 10687, 281, 7097, 861, 36787, 305, 13198, 24253, 14366, 281, 11237, 30596, 432, 7294, 5418, 28281, 289, 44693, 20728, 6684, 15038, 18, 22154, 10188, 11661, 16619, 28223, 415, 22218, 282, 3198, 697, 5447, 795, 287, 18, 365, 10882, 16, 1286, 3802, 7847, 779, 16, 1176, 411, 41780, 432, 39519, 4257, 8144, 4848, 16, 374, 13450, 1133, 2713, 3595, 5445, 9311, 282, 2660, 274, 1428, 16, 1029, 1623, 12651, 22304, 653, 2362, 304, 15581, 282, 308, 6399, 399, 45169, 16276, 269, 17, 1605, 288, 17, 1295, 350, 18, 478, 14237, 1502, 1133, 22613, 9537, 424, 6457, 8275, 309, 23000, 2001, 16, 18639, 2429, 1187, 17, 730, 1408, 807, 289, 4972, 2725, 7895, 3766, 17, 1009, 12169, 526, 18, 415, 22053, 7050, 20393, 4257, 281, 46608, 8272, 309, 15956, 2001, 16, 988, 5445, 23387, 47024, 367, 301, 17, 49239, 1908, 289, 4972, 3766, 17, 780, 1117, 2503, 509, 274, 910, 510, 3828, 12681, 18, 4756, 282, 11877, 4770, 1175, 4137, 6732, 7609, 24252, 281, 19157, 2231, 636, 431, 2407, 18, 640, 9155, 281, 7638, 17, 41854, 48116, 9441, 13432, 1624, 18813, 19267, 33411, 44573, 877, 1624, 20974, 1134, 30426, 730, 289, 18747, 6907, 339, 504, 1701, 1051, 1116, 289, 33411, 44075, 2300, 536, 1624, 367, 1038, 4778, 865, 758, 281, 4083, 3317, 16, 4770, 6732, 9813, 364, 6730, 282, 8144, 18, 478, 1140, 2247, 1157, 28145, 41173, 1054, 4869, 334, 39907, 1552, 282, 8144, 281, 39197, 309, 13051, 668, 44505, 3281, 4096, 1011, 37948, 5348, 365, 9827, 1175, 282, 8156, 9697, 4946, 6053, 38773, 4257, 910, 651, 2815, 3781, 17, 15975, 4830, 6370, 26334, 18, 365, 11946, 16, 1061, 3802, 16, 10933, 49473, 17713, 478, 20314, 1270, 11717, 470, 289, 478, 21664, 589, 315, 470, 35049, 1272, 10687, 17106, 6205, 8137, 9832, 478, 684, 414, 32796, 470, 334, 39891, 15581, 478, 37239, 4000, 470, 473, 4354, 298, 8991, 282, 1175, 13, 282, 38773, 12810, 16276, 269, 17, 599, 288, 17, 1295, 350, 18, 365, 19267, 2407, 23051, 13270, 8137, 9832, 1209, 9623, 651, 49685, 1157, 16, 10974, 3402, 289, 25411, 455, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 14109, 7808, 3703, 17, 7745, 33256, 45668, 872, 1540, 5858, 307, 299, 16, 3203, 17567, 38988, 3420, 16, 17980, 3319, 14377, 758, 2224, 10816, 309, 1382, 12411, 636, 18, 824, 4734, 6233, 16, 294, 19524, 5736, 7869, 12584, 539, 22872, 43343, 16, 859, 20202, 8888, 2666, 1565, 570, 291, 13048, 13368, 18, 31224, 30, 6091, 17, 7745, 33256, 45668, 872, 16, 10193, 424, 32699, 304, 1540, 5858, 307, 299, 16, 35792, 42597, 363, 282, 14109, 18, 1367, 803, 3110, 10958, 33254, 32852, 477, 7755, 309, 15479, 282, 6233, 18, 9736, 1066, 290, 11337, 47712, 23051, 282, 43287, 17567, 38988, 3420, 14553, 1863, 1075, 2051, 16, 2319, 23214, 1540, 5858, 307, 299, 18, 478, 4348, 14322, 281, 45777, 12707, 16, 374, 1800, 5633, 24081, 2498, 6833, 2236, 27166, 510, 1540, 5858, 307, 299, 18, 1303, 2874, 20428, 290, 1169, 289, 505, 6598, 18, 378, 31370, 281, 12408, 910, 510, 5130, 282, 9907, 18, 6592, 29651, 28546, 16, 11910, 4243, 5475, 430, 4160, 309, 24934, 17398, 17, 24496, 16, 374, 309, 9265, 17, 17569, 23455, 18, 1540, 5858, 307, 299, 1974, 281, 5512, 39366, 334, 38988, 3420, 4085, 5077, 334, 4625, 16, 785, 697, 40343, 34591, 16, 27692, 4655, 1134, 18, 365, 3198, 20474, 3968, 891, 3703, 17, 7745, 45668, 872, 16342, 764, 519, 27555, 309, 1756, 13631, 478, 5094, 323, 910, 1655, 428, 6501, 505, 6722, 8748, 326, 289, 898, 40761, 282, 13335, 18, 985, 13737, 41197, 16, 2146, 6832, 541, 1540, 5858, 307, 299, 1559, 5335, 16717, 282, 7764, 510, 282, 1177, 2083, 9774, 6274, 28602, 360, 25711, 309, 43866, 16, 2686, 1011, 17706, 1833, 575, 21919, 309, 31471, 18, 824, 38601, 282, 25834, 14719, 10299, 307, 7771, 5957, 898, 39895, 6501, 5164, 16, 697, 8361, 1055, 374, 322, 5698, 3236, 18, 37767, 1038, 16, 374, 1540, 5858, 307, 299, 1559, 726, 24721, 7808, 1116, 282, 803, 3948, 23455, 349, 4101, 1421, 5576, 18, 824, 27752, 3352, 16, 16619, 11138, 47712, 895, 953, 428, 17, 299, 15155, 281, 11526, 966, 46627, 505, 2123, 17, 11884, 20860, 837, 334, 38988, 3420, 8860, 2749, 32563, 1508, 4121, 5002, 5097, 16, 1029, 685, 17005, 637, 282, 11366, 9600, 282, 4335, 19778, 360, 2223, 3362, 1356, 718, 48118, 16, 6177, 21500, 685, 42549, 25935, 3317, 2654, 1028, 278, 316, 555, 2299, 18, 30258, 5273, 16, 374, 5826, 8150, 23549, 309, 25426, 47228, 312, 3851, 11062, 700, 38988, 3420, 281, 2107, 22322, 680, 9251, 19906, 510, 5099, 4456, 22, 16, 18264, 344, 9037, 282, 36039, 5375, 3948, 10208, 18, 30781, 2798, 266, 1251, 1934, 4868, 3237, 334, 8872, 16733, 478, 5218, 501, 23400, 470, 45668, 2314, 353, 13048, 6170, 1015, 16, 282, 1639, 15590, 2873, 22854, 2802, 4667, 21680, 2155, 18, 967, 803, 959, 382, 38988, 3420, 898, 2702, 20970, 394, 309, 1382, 12411, 636, 510, 3725, 411, 1129, 6245, 2385, 2581, 454, 282, 6957, 4500, 18, 37025, 18, 12725, 334, 3649, 330, 277, 282, 43287, 16, 1540, 5858, 307, 299, 939, 6392, 40209, 11910, 2803, 18, 996, 16, 5957, 1011, 11337, 20860, 837, 492, 14403, 16, 374, 519, 4319, 1326, 334, 17, 11863, 322, 27530, 2887, 25867, 4079, 548, 18, 478, 1358, 475, 764, 282, 39024, 18, 5005, 322, 2447, 282, 481, 12022, 18, 9857, 5961, 16, 374, 492, 282, 45379, 3901, 629, 2826, 322, 12236, 16, 374, 492, 21543, 910, 510, 6443, 3909, 354, 6147, 18, 36487, 545, 4890, 9080, 19524, 16, 492, 13749, 16, 374, 302, 2538, 271, 17, 37323, 343, 473, 1567, 17028, 269, 45668, 513, 16, 14426, 35005, 281, 3280, 1330, 510, 478, 18386, 18, 8381, 470, 25408, 1754, 23120, 505, 33478, 16, 2826, 8643, 294, 19025, 306, 16, 2686, 478, 42359, 1116, 10431, 277, 411, 20654, 31840, 432, 14297, 23455, 1143, 322, 294, 5414, 10106, 861, 478, 822, 2538, 271, 17, 37323, 343, 16182, 309, 518, 8150, 16, 374, 17700, 282, 2874, 4701, 18, 2046, 32198, 289, 17593, 1254, 898, 15427, 1007, 764, 519, 1710, 18, 16003, 16, 374, 4284, 541, 32126, 1269, 510, 37335, 16, 6556, 16, 581, 374, 6922, 16, 510, 17857, 2077, 45668, 872, 18, 510, 5005, 1314, 1749, 6696, 5978, 4547, 46187, 18, 33444, 3325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1532, 20448, 334, 48664, 28223, 608, 3852, 367, 301, 17, 40838, 669, 307, 16, 7260, 16, 685, 44971, 282, 3198, 10687, 281, 7097, 861, 36787, 305, 13198, 24253, 14366, 281, 11237, 30596, 432, 7294, 5418, 28281, 289, 44693, 20728, 6684, 15038, 18, 22154, 10188, 11661, 16619, 28223, 415, 22218, 282, 3198, 697, 5447, 795, 287, 18, 365, 10882, 16, 1286, 3802, 7847, 779, 16, 1176, 411, 41780, 432, 39519, 4257, 8144, 4848, 16, 374, 13450, 1133, 2713, 3595, 5445, 9311, 282, 2660, 274, 1428, 16, 1029, 1623, 12651, 22304, 653, 2362, 304, 15581, 282, 308, 6399, 399, 45169, 16276, 269, 17, 1605, 288, 17, 1295, 350, 18, 478, 14237, 1502, 1133, 22613, 9537, 424, 6457, 8275, 309, 23000, 2001, 16, 18639, 2429, 1187, 17, 730, 1408, 807, 289, 4972, 2725, 7895, 3766, 17, 1009, 12169, 526, 18, 415, 22053, 7050, 20393, 4257, 281, 46608, 8272, 309, 15956, 2001, 16, 988, 5445, 23387, 47024, 367, 301, 17, 49239, 1908, 289, 4972, 3766, 17, 780, 1117, 2503, 509, 274, 910, 510, 3828, 12681, 18, 4756, 282, 11877, 4770, 1175, 4137, 6732, 7609, 24252, 281, 19157, 2231, 636, 431, 2407, 18, 640, 9155, 281, 7638, 17, 41854, 48116, 9441, 13432, 1624, 18813, 19267, 33411, 44573, 877, 1624, 20974, 1134, 30426, 730, 289, 18747, 6907, 339, 504, 1701, 1051, 1116, 289, 33411, 44075, 2300, 536, 1624, 367, 1038, 4778, 865, 758, 281, 4083, 3317, 16, 4770, 6732, 9813, 364, 6730, 282, 8144, 18, 478, 1140, 2247, 1157, 28145, 41173, 1054, 4869, 334, 39907, 1552, 282, 8144, 281, 39197, 309, 13051, 668, 44505, 3281, 4096, 1011, 37948, 5348, 365, 9827, 1175, 282, 8156, 9697, 4946, 6053, 38773, 4257, 910, 651, 2815, 3781, 17, 15975, 4830, 6370, 26334, 18, 365, 11946, 16, 1061, 3802, 16, 10933, 49473, 17713, 478, 20314, 1270, 11717, 470, 289, 478, 21664, 589, 315, 470, 35049, 1272, 10687, 17106, 6205, 8137, 9832, 478, 684, 414, 32796, 470, 334, 39891, 15581, 478, 37239, 4000, 470, 473, 4354, 298, 8991, 282, 1175, 13, 282, 38773, 12810, 16276, 269, 17, 599, 288, 17, 1295, 350, 18, 365, 19267, 2407, 23051, 13270, 8137, 9832, 1209, 9623, 651, 49685, 1157, 16, 10974, 3402, 289, 25411, 455, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 14109, 7808, 3703, 17, 7745, 33256, 45668, 872, 1540, 5858, 307, 299, 16, 3203, 17567, 38988, 3420, 16, 17980, 3319, 14377, 758, 2224, 10816, 309, 1382, 12411, 636, 18, 824, 4734, 6233, 16, 294, 19524, 5736, 7869, 12584, 539, 22872, 43343, 16, 859, 20202, 8888, 2666, 1565, 570, 291, 13048, 13368, 18, 31224, 30, 6091, 17, 7745, 33256, 45668, 872, 16, 10193, 424, 32699, 304, 1540, 5858, 307, 299, 16, 35792, 42597, 363, 282, 14109, 18, 1367, 803, 3110, 10958, 33254, 32852, 477, 7755, 309, 15479, 282, 6233, 18, 9736, 1066, 290, 11337, 47712, 23051, 282, 43287, 17567, 38988, 3420, 14553, 1863, 1075, 2051, 16, 2319, 23214, 1540, 5858, 307, 299, 18, 478, 4348, 14322, 281, 45777, 12707, 16, 374, 1800, 5633, 24081, 2498, 6833, 2236, 27166, 510, 1540, 5858, 307, 299, 18, 1303, 2874, 20428, 290, 1169, 289, 505, 6598, 18, 378, 31370, 281, 12408, 910, 510, 5130, 282, 9907, 18, 6592, 29651, 28546, 16, 11910, 4243, 5475, 430, 4160, 309, 24934, 17398, 17, 24496, 16, 374, 309, 9265, 17, 17569, 23455, 18, 1540, 5858, 307, 299, 1974, 281, 5512, 39366, 334, 38988, 3420, 4085, 5077, 334, 4625, 16, 785, 697, 40343, 34591, 16, 27692, 4655, 1134, 18, 365, 3198, 20474, 3968, 891, 3703, 17, 7745, 45668, 872, 16342, 764, 519, 27555, 309, 1756, 13631, 478, 5094, 323, 910, 1655, 428, 6501, 505, 6722, 8748, 326, 289, 898, 40761, 282, 13335, 18, 985, 13737, 41197, 16, 2146, 6832, 541, 1540, 5858, 307, 299, 1559, 5335, 16717, 282, 7764, 510, 282, 1177, 2083, 9774, 6274, 28602, 360, 25711, 309, 43866, 16, 2686, 1011, 17706, 1833, 575, 21919, 309, 31471, 18, 824, 38601, 282, 25834, 14719, 10299, 307, 7771, 5957, 898, 39895, 6501, 5164, 16, 697, 8361, 1055, 374, 322, 5698, 3236, 18, 37767, 1038, 16, 374, 1540, 5858, 307, 299, 1559, 726, 24721, 7808, 1116, 282, 803, 3948, 23455, 349, 4101, 1421, 5576, 18, 824, 27752, 3352, 16, 16619, 11138, 47712, 895, 953, 428, 17, 299, 15155, 281, 11526, 966, 46627, 505, 2123, 17, 11884, 20860, 837, 334, 38988, 3420, 8860, 2749, 32563, 1508, 4121, 5002, 5097, 16, 1029, 685, 17005, 637, 282, 11366, 9600, 282, 4335, 19778, 360, 2223, 3362, 1356, 718, 48118, 16, 6177, 21500, 685, 42549, 25935, 3317, 2654, 1028, 278, 316, 555, 2299, 18, 30258, 5273, 16, 374, 5826, 8150, 23549, 309, 25426, 47228, 312, 3851, 11062, 700, 38988, 3420, 281, 2107, 22322, 680, 9251, 19906, 510, 5099, 4456, 22, 16, 18264, 344, 9037, 282, 36039, 5375, 3948, 10208, 18, 30781, 2798, 266, 1251, 1934, 4868, 3237, 334, 8872, 16733, 478, 5218, 501, 23400, 470, 45668, 2314, 353, 13048, 6170, 1015, 16, 282, 1639, 15590, 2873, 22854, 2802, 4667, 21680, 2155, 18, 967, 803, 959, 382, 38988, 3420, 898, 2702, 20970, 394, 309, 1382, 12411, 636, 510, 3725, 411, 1129, 6245, 2385, 2581, 454, 282, 6957, 4500, 18, 37025, 18, 12725, 334, 3649, 330, 277, 282, 43287, 16, 1540, 5858, 307, 299, 939, 6392, 40209, 11910, 2803, 18, 996, 16, 5957, 1011, 11337, 20860, 837, 492, 14403, 16, 374, 519, 4319, 1326, 334, 17, 11863, 322, 27530, 2887, 25867, 4079, 548, 18, 478, 1358, 475, 764, 282, 39024, 18, 5005, 322, 2447, 282, 481, 12022, 18, 9857, 5961, 16, 374, 492, 282, 45379, 3901, 629, 2826, 322, 12236, 16, 374, 492, 21543, 910, 510, 6443, 3909, 354, 6147, 18, 36487, 545, 4890, 9080, 19524, 16, 492, 13749, 16, 374, 302, 2538, 271, 17, 37323, 343, 473, 1567, 17028, 269, 45668, 513, 16, 14426, 35005, 281, 3280, 1330, 510, 478, 18386, 18, 8381, 470, 25408, 1754, 23120, 505, 33478, 16, 2826, 8643, 294, 19025, 306, 16, 2686, 478, 42359, 1116, 10431, 277, 411, 20654, 31840, 432, 14297, 23455, 1143, 322, 294, 5414, 10106, 861, 478, 822, 2538, 271, 17, 37323, 343, 16182, 309, 518, 8150, 16, 374, 17700, 282, 2874, 4701, 18, 2046, 32198, 289, 17593, 1254, 898, 15427, 1007, 764, 519, 1710, 18, 16003, 16, 374, 4284, 541, 32126, 1269, 510, 37335, 16, 6556, 16, 581, 374, 6922, 16, 510, 17857, 2077, 45668, 872, 18, 510, 5005, 1314, 1749, 6696, 5978, 4547, 46187, 18, 33444, 3325 ]
[ 16, 7064, 322, 895, 8940, 2089, 10784, 18, 3510, 745, 10432, 3319, 3048, 758, 6153, 5613, 4366, 29012, 16, 515, 15880, 16, 374, 745, 6977, 510, 481, 31439, 302, 2538, 271, 17, 37323, 454, 18, 40787, 315, 16, 1139, 22731, 464, 10514, 448, 23840, 16, 36232, 6584, 3723, 32285, 4577, 282, 5200, 3948, 18, 7132, 47191, 302, 2538, 271, 17, 37323, 454, 16, 827, 1299, 1143, 322, 294, 5414, 10106, 5433, 365, 1423, 3678, 4411, 2123, 17, 11884, 43343, 1011, 11337, 5794, 2394, 1909, 322, 2196, 1855, 11910, 281, 24780, 7105, 26984, 473, 10478, 45668, 2314, 898, 867, 30021, 982, 934, 505, 3125, 19212, 670, 9716, 38157, 510, 334, 722, 4734, 16, 294, 19524, 18092, 478, 627, 3412, 31395, 20837, 861, 478, 1358, 3027, 687, 2236, 510, 753, 2218, 5104, 685, 12651, 16, 753, 492, 1559, 24719, 541, 1209, 18, 5005, 753, 475, 481, 2010, 12521, 723, 7743, 322, 282, 351, 409, 16, 1743, 322, 282, 21417, 16, 1743, 322, 282, 17702, 18, 2387, 18, 5005, 481, 31395, 20837, 18, 1345, 475, 510, 1749, 18, 15847, 16, 6004, 16, 34011, 8722, 16088, 1852, 12651, 910, 510, 9321, 3708, 18, 365, 3177, 31493, 44445, 38988, 3420, 2669, 6790, 977, 294, 7583, 17702, 16, 13025, 16, 3057, 16, 44331, 17, 897, 22963, 289, 2393, 32345, 11621, 9233, 16, 367, 1038, 282, 32211, 282, 2224, 1923, 9264, 4534, 18, 967, 803, 282, 11063, 5626, 11009, 3463, 3097, 1166, 3247, 424, 3411, 333, 3897, 353, 16, 6480, 6355, 31135, 289, 20057, 7092, 11214, 18, 17065, 406, 16, 374, 282, 12938, 978, 779, 282, 4809, 1134, 685, 17005, 637, 10193, 13205, 45668, 872, 8606, 60, 56, 815, 946, 692, 510, 1939, 17, 7745, 34349, 16, 29745, 519, 11337, 3895, 322, 3858, 1779, 349, 38320, 349, 11949, 468, 289, 21025, 3774, 16954, 564, 4109, 18, 817, 3994, 309, 14114, 582, 282, 20140, 6085, 343, 298, 18, 21513, 334, 35491, 282, 16765, 685, 22136, 15696, 17775, 2611, 3911, 42315, 16, 34830, 33608, 411, 31255, 700, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 13375, 281, 14852, 536, 2845, 547, 282, 18050, 1310, 1212, 43498, 28671, 3655, 43004, 17816, 320, 478, 684, 341, 861, 6682, 14533, 5129, 282, 764, 34442, 4990, 1011, 16282, 14730, 31171, 1055, 322, 8712, 467, 18, 31224, 30, 677, 3948, 20264, 14852, 434, 19333, 282, 18050, 1310, 1212, 43498, 12219, 15129, 10515, 718, 3165, 17777, 16, 590, 30390, 291, 5540, 541, 18293, 10960, 16, 3110, 478, 26627, 17, 818, 17, 440, 861, 9266, 29365, 1880, 16546, 478, 684, 341, 470, 840, 282, 30300, 1855, 5156, 281, 11879, 26206, 10960, 1248, 1912, 11551, 295, 282, 28452, 16, 2928, 990, 11460, 289, 47765, 5846, 26258, 5156, 282, 31171, 18, 478, 684, 341, 470, 282, 4349, 44441, 874, 282, 8729, 3695, 3763, 5419, 24884, 36715, 3128, 18, 478, 2176, 466, 16546, 16576, 305, 5156, 11748, 28036, 294, 1306, 910, 510, 2548, 5854, 2241, 786, 49, 56, 715, 4908, 32919, 12067, 528, 12209, 2675, 18, 9266, 29365, 778, 18974, 17257, 1833, 1011, 15532, 14212, 1595, 17816, 320, 282, 26042, 306, 309, 12611, 8902, 16, 367, 2512, 18946, 505, 282, 18050, 1310, 778, 31171, 16, 322, 24196, 19683, 20194, 281, 7211, 1703, 14852, 536, 27398, 496, 10727, 22480, 674, 716, 1456, 473, 677, 730, 934, 3067, 9946, 1314, 12497, 319, 8776, 2606, 10960, 18, 415, 3705, 3785, 786, 49, 56, 715, 4908, 32919, 8865, 701, 14426, 281, 23536, 2145, 16, 5923, 30087, 14205, 33082, 49799, 25151, 18, 365, 4675, 808, 478, 684, 341, 470, 3164, 282, 4317, 19453, 360, 14576, 416, 21612, 15828, 16, 282, 2456, 5214, 14852, 434, 19333, 18, 23979, 7953, 432, 34968, 17257, 1698, 953, 14383, 726, 282, 10666, 18, 1178, 15129, 18222, 8103, 16, 16546, 895, 18908, 5155, 48305, 4119, 282, 5846, 34775, 24783, 360, 10960, 16, 3110, 24359, 5581, 44938, 18, 3397, 5846, 40947, 3128, 10008, 4652, 6957, 13509, 16, 515, 1055, 745, 7393, 687, 329, 22378, 3183, 9153, 12841, 18, 16539, 20381, 17469, 440, 440, 589, 16, 439, 5720, 19678, 289, 31255, 700, 475, 764, 5644, 8171, 8534, 16282, 14730, 478, 16443, 470, 510, 329, 10704, 11934, 44100, 23399, 4995, 282, 17936, 18, 421, 781, 350, 1340, 18604, 4364, 16, 374, 37320, 540, 34386, 2651, 5284, 16, 3110, 4339, 8000, 16303, 18, 365, 10666, 2438, 3665, 290, 16992, 12457, 2553, 4693, 424, 6457, 4772, 17, 34960, 16, 31543, 10977, 6730, 281, 445, 3431, 304, 10960, 18, 14654, 3419, 290, 4842, 409, 13702, 18, 12739, 2740, 43154, 11390, 3188, 461, 31627, 31826, 18, 3758, 16, 1029, 3237, 491, 16, 25, 5196, 2158, 289, 1314, 7346, 4164, 2406, 43603, 289, 365, 730, 18, 985, 5923, 41753, 18381, 477, 7755, 309, 7897, 282, 37920, 11574, 3623, 2145, 16, 4788, 12350, 18484, 281, 914, 798, 1492, 3758, 309, 914, 286, 1492, 75, 2084, 473, 348, 3137, 914, 286, 541, 43645, 7257, 2145, 814, 3791, 840, 7316, 286, 1817, 9713, 282, 5980, 3162, 4600, 289, 6579, 15429, 4974, 309, 1169, 18, 2949, 924, 16, 840, 16685, 987, 1247, 290, 8527, 8292, 5115, 18, 1591, 31255, 476, 9770, 17240, 281, 3195, 5792, 9414, 35730, 5303, 912, 705, 2627, 12109, 548, 18, 25134, 5303, 31255, 700, 1188, 40811, 14306, 15089, 22695, 44334, 334, 3950, 2818, 45085, 31255, 700, 20155, 431, 29718, 5044, 1624, 3110, 30087, 14205, 8992, 43822, 444, 18, 817, 19346, 20596, 13566, 281, 9130, 7237, 294, 30014, 10846, 13501, 24486, 19088, 16, 329, 2340, 873, 289, 1772, 577, 382, 16, 387, 1388, 4490, 282, 43498, 18, 478, 4441, 23647, 12111, 411, 40403, 1240, 31255, 700, 16, 510, 24104, 29718, 2612, 294, 21084, 17240, 18, 510, 28848, 6992, 1133, 5904, 3588, 14888, 3624, 16, 515, 656, 12723, 3413, 282, 1304, 4271, 5043, 16, 827, 8044, 31255, 700, 764, 1698, 13541, 281, 15255, 309, 12099, 1159, 16, 502, 10419, 360, 13807, 7564, 4559, 20381, 745, 322, 282, 4349, 18, 40389, 10584, 4966, 11195, 5363, 12219, 334, 5964, 16, 18879, 1164, 17330, 1936, 19483, 10226, 10960, 16, 367, 1011, 1129, 27996, 21860, 5600, 6979, 1587, 16, 3333, 411, 1639, 13473, 411, 1888, 42552, 16, 5923, 10958, 860, 7503, 77, 13492, 13163, 18, 478, 1358, 25905, 309, 11460, 16, 510, 15075, 16338, 17330, 1936, 19333, 309, 27901, 5993, 451, 10533, 411, 439, 5720, 19678, 9699, 345, 45959, 1204, 18, 510, 740, 481, 475, 764, 27996, 16, 289, 417, 475, 764, 6540, 505, 861, 18197, 23763, 282, 3182, 2145, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 7064, 322, 895, 8940, 2089, 10784, 18, 3510, 745, 10432, 3319, 3048, 758, 6153, 5613, 4366, 29012, 16, 515, 15880, 16, 374, 745, 6977, 510, 481, 31439, 302, 2538, 271, 17, 37323, 454, 18, 40787, 315, 16, 1139, 22731, 464, 10514, 448, 23840, 16, 36232, 6584, 3723, 32285, 4577, 282, 5200, 3948, 18, 7132, 47191, 302, 2538, 271, 17, 37323, 454, 16, 827, 1299, 1143, 322, 294, 5414, 10106, 5433, 365, 1423, 3678, 4411, 2123, 17, 11884, 43343, 1011, 11337, 5794, 2394, 1909, 322, 2196, 1855, 11910, 281, 24780, 7105, 26984, 473, 10478, 45668, 2314, 898, 867, 30021, 982, 934, 505, 3125, 19212, 670, 9716, 38157, 510, 334, 722, 4734, 16, 294, 19524, 18092, 478, 627, 3412, 31395, 20837, 861, 478, 1358, 3027, 687, 2236, 510, 753, 2218, 5104, 685, 12651, 16, 753, 492, 1559, 24719, 541, 1209, 18, 5005, 753, 475, 481, 2010, 12521, 723, 7743, 322, 282, 351, 409, 16, 1743, 322, 282, 21417, 16, 1743, 322, 282, 17702, 18, 2387, 18, 5005, 481, 31395, 20837, 18, 1345, 475, 510, 1749, 18, 15847, 16, 6004, 16, 34011, 8722, 16088, 1852, 12651, 910, 510, 9321, 3708, 18, 365, 3177, 31493, 44445, 38988, 3420, 2669, 6790, 977, 294, 7583, 17702, 16, 13025, 16, 3057, 16, 44331, 17, 897, 22963, 289, 2393, 32345, 11621, 9233, 16, 367, 1038, 282, 32211, 282, 2224, 1923, 9264, 4534, 18, 967, 803, 282, 11063, 5626, 11009, 3463, 3097, 1166, 3247, 424, 3411, 333, 3897, 353, 16, 6480, 6355, 31135, 289, 20057, 7092, 11214, 18, 17065, 406, 16, 374, 282, 12938, 978, 779, 282, 4809, 1134, 685, 17005, 637, 10193, 13205, 45668, 872, 8606, 60, 56, 815, 946, 692, 510, 1939, 17, 7745, 34349, 16, 29745, 519, 11337, 3895, 322, 3858, 1779, 349, 38320, 349, 11949, 468, 289, 21025, 3774, 16954, 564, 4109, 18, 817, 3994, 309, 14114, 582, 282, 20140, 6085, 343, 298, 18, 21513, 334, 35491, 282, 16765, 685, 22136, 15696, 17775, 2611, 3911, 42315, 16, 34830, 33608, 411, 31255, 700, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 13375, 281, 14852, 536, 2845, 547, 282, 18050, 1310, 1212, 43498, 28671, 3655, 43004, 17816, 320, 478, 684, 341, 861, 6682, 14533, 5129, 282, 764, 34442, 4990, 1011, 16282, 14730, 31171, 1055, 322, 8712, 467, 18, 31224, 30, 677, 3948, 20264, 14852, 434, 19333, 282, 18050, 1310, 1212, 43498, 12219, 15129, 10515, 718, 3165, 17777, 16, 590, 30390, 291, 5540, 541, 18293, 10960, 16, 3110, 478, 26627, 17, 818, 17, 440, 861, 9266, 29365, 1880, 16546, 478, 684, 341, 470, 840, 282, 30300, 1855, 5156, 281, 11879, 26206, 10960, 1248, 1912, 11551, 295, 282, 28452, 16, 2928, 990, 11460, 289, 47765, 5846, 26258, 5156, 282, 31171, 18, 478, 684, 341, 470, 282, 4349, 44441, 874, 282, 8729, 3695, 3763, 5419, 24884, 36715, 3128, 18, 478, 2176, 466, 16546, 16576, 305, 5156, 11748, 28036, 294, 1306, 910, 510, 2548, 5854, 2241, 786, 49, 56, 715, 4908, 32919, 12067, 528, 12209, 2675, 18, 9266, 29365, 778, 18974, 17257, 1833, 1011, 15532, 14212, 1595, 17816, 320, 282, 26042, 306, 309, 12611, 8902, 16, 367, 2512, 18946, 505, 282, 18050, 1310, 778, 31171, 16, 322, 24196, 19683, 20194, 281, 7211, 1703, 14852, 536, 27398, 496, 10727, 22480, 674, 716, 1456, 473, 677, 730, 934, 3067, 9946, 1314, 12497, 319, 8776, 2606, 10960, 18, 415, 3705, 3785, 786, 49, 56, 715, 4908, 32919, 8865, 701, 14426, 281, 23536, 2145, 16, 5923, 30087, 14205, 33082, 49799, 25151, 18, 365, 4675, 808, 478, 684, 341, 470, 3164, 282, 4317, 19453, 360, 14576, 416, 21612, 15828, 16, 282, 2456, 5214, 14852, 434, 19333, 18, 23979, 7953, 432, 34968, 17257, 1698, 953, 14383, 726, 282, 10666, 18, 1178, 15129, 18222, 8103, 16, 16546, 895, 18908, 5155, 48305, 4119, 282, 5846, 34775, 24783, 360, 10960, 16, 3110, 24359, 5581, 44938, 18, 3397, 5846, 40947, 3128, 10008, 4652, 6957, 13509, 16, 515, 1055, 745, 7393, 687, 329, 22378, 3183, 9153, 12841, 18, 16539, 20381, 17469, 440, 440, 589, 16, 439, 5720, 19678, 289, 31255, 700, 475, 764, 5644, 8171, 8534, 16282, 14730, 478, 16443, 470, 510, 329, 10704, 11934, 44100, 23399, 4995, 282, 17936, 18, 421, 781, 350, 1340, 18604, 4364, 16, 374, 37320, 540, 34386, 2651, 5284, 16, 3110, 4339, 8000, 16303, 18, 365, 10666, 2438, 3665, 290, 16992, 12457, 2553, 4693, 424, 6457, 4772, 17, 34960, 16, 31543, 10977, 6730, 281, 445, 3431, 304, 10960, 18, 14654, 3419, 290, 4842, 409, 13702, 18, 12739, 2740, 43154, 11390, 3188, 461, 31627, 31826, 18, 3758, 16, 1029, 3237, 491, 16, 25, 5196, 2158, 289, 1314, 7346, 4164, 2406, 43603, 289, 365, 730, 18, 985, 5923, 41753, 18381, 477, 7755, 309, 7897, 282, 37920, 11574, 3623, 2145, 16, 4788, 12350, 18484, 281, 914, 798, 1492, 3758, 309, 914, 286, 1492, 75, 2084, 473, 348, 3137, 914, 286, 541, 43645, 7257, 2145, 814, 3791, 840, 7316, 286, 1817, 9713, 282, 5980, 3162, 4600, 289, 6579, 15429, 4974, 309, 1169, 18, 2949, 924, 16, 840, 16685, 987, 1247, 290, 8527, 8292, 5115, 18, 1591, 31255, 476, 9770, 17240, 281, 3195, 5792, 9414, 35730, 5303, 912, 705, 2627, 12109, 548, 18, 25134, 5303, 31255, 700, 1188, 40811, 14306, 15089, 22695, 44334, 334, 3950, 2818, 45085, 31255, 700, 20155, 431, 29718, 5044, 1624, 3110, 30087, 14205, 8992, 43822, 444, 18, 817, 19346, 20596, 13566, 281, 9130, 7237, 294, 30014, 10846, 13501, 24486, 19088, 16, 329, 2340, 873, 289, 1772, 577, 382, 16, 387, 1388, 4490, 282, 43498, 18, 478, 4441, 23647, 12111, 411, 40403, 1240, 31255, 700, 16, 510, 24104, 29718, 2612, 294, 21084, 17240, 18, 510, 28848, 6992, 1133, 5904, 3588, 14888, 3624, 16, 515, 656, 12723, 3413, 282, 1304, 4271, 5043, 16, 827, 8044, 31255, 700, 764, 1698, 13541, 281, 15255, 309, 12099, 1159, 16, 502, 10419, 360, 13807, 7564, 4559, 20381, 745, 322, 282, 4349, 18, 40389, 10584, 4966, 11195, 5363, 12219, 334, 5964, 16, 18879, 1164, 17330, 1936, 19483, 10226, 10960, 16, 367, 1011, 1129, 27996, 21860, 5600, 6979, 1587, 16, 3333, 411, 1639, 13473, 411, 1888, 42552, 16, 5923, 10958, 860, 7503, 77, 13492, 13163, 18, 478, 1358, 25905, 309, 11460, 16, 510, 15075, 16338, 17330, 1936, 19333, 309, 27901, 5993, 451, 10533, 411, 439, 5720, 19678, 9699, 345, 45959, 1204, 18, 510, 740, 481, 475, 764, 27996, 16, 289, 417, 475, 764, 6540, 505, 861, 18197, 23763, 282, 3182, 2145, 952 ]
[ 1214, 33672, 2503, 13132, 411, 17, 431, 12677, 4036, 6964, 22137, 7930, 2740, 43154, 35742, 3188, 461, 1939, 4238, 18, 1937, 17123, 11411, 11024, 951, 52, 17510, 6996, 1424, 16, 11460, 2756, 34721, 7425, 282, 18050, 1310, 778, 31171, 18, 3397, 23108, 726, 38245, 22378, 42552, 3183, 9153, 2334, 16, 17469, 440, 440, 589, 16, 439, 5720, 2707, 289, 31255, 347, 18, 2, 1, 87, 1456, 81, 2448, 30, 11162, 8557, 2407, 7622, 23447, 14217, 26258, 25541, 19134, 334, 47163, 18, 1253, 8350, 47666, 282, 13305, 8026, 22085, 9038, 4533, 1505, 19134, 334, 14217, 13360, 22010, 18, 49328, 520, 10661, 13659, 5363, 9978, 31957, 16, 281, 3195, 1639, 745, 3257, 5291, 6737, 28029, 47666, 18, 365, 47627, 12335, 8961, 341, 28029, 334, 1335, 7705, 35471, 1833, 282, 1421, 4570, 16, 519, 6957, 4500, 18, 1671, 18, 31224, 30, 4408, 44134, 16, 9478, 14217, 735, 4587, 1805, 322, 687, 24792, 16, 515, 289, 1888, 6367, 4202, 16, 28744, 309, 3614, 5439, 282, 9937, 18, 37254, 3171, 334, 19745, 39722, 26119, 36893, 6579, 17754, 12512, 32119, 19134, 289, 36893, 9427, 6773, 541, 14296, 12512, 47099, 371, 4284, 763, 16021, 23292, 48944, 289, 505, 16169, 1016, 18, 478, 677, 5118, 281, 5524, 6279, 34915, 16, 5210, 289, 34926, 5842, 9427, 6773, 46965, 309, 49983, 46857, 14561, 8217, 21089, 18984, 4076, 473, 630, 14302, 8163, 13, 910, 510, 5130, 282, 9907, 5439, 18, 5857, 489, 382, 16, 334, 4734, 11944, 16, 478, 26296, 1102, 530, 22360, 16, 47666, 282, 3198, 13305, 16, 3604, 13659, 516, 49834, 334, 24929, 47163, 282, 2095, 47099, 16021, 16, 4284, 2198, 697, 23292, 16, 334, 14217, 13360, 289, 33043, 22010, 18, 42427, 347, 2986, 322, 4128, 41792, 9512, 7901, 16, 753, 14565, 2888, 334, 24929, 47163, 15018, 1453, 309, 10640, 11608, 18, 25134, 2232, 6524, 354, 349, 4284, 468, 16021, 23292, 840, 4460, 798, 13659, 15224, 334, 9427, 4489, 277, 309, 9185, 16159, 6702, 16, 282, 1639, 31285, 4004, 289, 13273, 19082, 7574, 16, 289, 6702, 16, 14790, 1587, 5809, 13305, 861, 47976, 2232, 11617, 19134, 4660, 2444, 9771, 13659, 15224, 6929, 33690, 427, 32119, 12512, 16, 40591, 334, 21573, 4284, 427, 16021, 23292, 48944, 309, 2236, 48944, 473, 16041, 4500, 18, 1671, 9761, 309, 9427, 6773, 16, 11419, 281, 867, 670, 17672, 7519, 979, 289, 3887, 1453, 282, 13930, 292, 18, 403, 7555, 16, 827, 349, 15831, 10317, 19990, 27412, 3326, 1713, 798, 6524, 354, 282, 1939, 7418, 502, 975, 8026, 22085, 28507, 6524, 354, 282, 3417, 4500, 18, 1671, 18, 1178, 282, 13305, 17642, 39846, 1272, 31421, 16, 502, 334, 9427, 4489, 277, 975, 15877, 1061, 7418, 502, 912, 2706, 4500, 18, 1671, 18, 967, 803, 6524, 354, 840, 30351, 31102, 16, 367, 322, 1011, 12522, 282, 13659, 516, 10845, 477, 5022, 3755, 1082, 16, 334, 8331, 16, 764, 282, 7433, 7901, 18, 740, 10398, 8683, 432, 28029, 12460, 2508, 34490, 1698, 16419, 289, 309, 1033, 36728, 7512, 18, 478, 6161, 18100, 3326, 1747, 17626, 1033, 14440, 4004, 289, 13273, 19082, 7574, 16, 28357, 622, 2988, 11608, 309, 10640, 6245, 3231, 4162, 4419, 4460, 1734, 32119, 19134, 349, 4284, 468, 16021, 23292, 16, 18100, 3326, 840, 19323, 4460, 798, 4533, 2232, 6524, 354, 282, 11683, 32119, 12512, 16, 4162, 1754, 281, 430, 4238, 2604, 779, 14481, 6957, 4500, 18, 1671, 18, 910, 510, 5130, 282, 9907, 18, 478, 49313, 16, 1586, 48978, 19796, 16, 5773, 834, 549, 16, 510, 5273, 5037, 25470, 6198, 4533, 13499, 6363, 457, 5159, 1051, 18, 510, 3397, 16, 753, 3604, 49834, 334, 6377, 272, 541, 1354, 289, 7574, 16, 39274, 332, 33498, 3235, 23518, 25867, 4284, 427, 16021, 282, 13305, 1943, 685, 6348, 8501, 16, 14790, 1815, 16, 374, 10640, 1335, 17336, 322, 3884, 1812, 349, 2948, 4696, 415, 13164, 18, 2787, 912, 13659, 6951, 6524, 40045, 334, 47163, 349, 6377, 23292, 687, 282, 803, 1750, 18, 15517, 16, 7938, 415, 13164, 34490, 939, 30736, 16, 289, 2241, 16, 36389, 16, 374, 29557, 424, 1710, 424, 15109, 16, 1715, 1514, 40376, 15259, 3038, 6985, 282, 6524, 464, 18, 459, 481, 24344, 33615, 30, 411, 1209, 28029, 334, 47163, 309, 1805, 289, 8884, 6110, 2364, 430, 7418, 11404, 510, 334, 3506, 272, 18, 981, 289, 502, 16, 1715, 1992, 1177, 430, 9, 2270, 811, 309, 3022, 11337, 1631, 861, 967, 803, 12189, 10050, 16, 374, 329, 1435, 3134, 25457, 912, 289, 35841, 1963, 18, 478, 11233, 5773, 13860, 16, 2006, 1805, 1631, 16, 827, 492, 3994, 282, 13305, 16, 30081, 282, 6957, 4500, 18, 1671, 2211, 367, 827, 309, 37640, 8803, 282, 9743, 670, 282, 34548, 26402, 510, 726, 282, 491, 3763, 18, 2787, 912, 1122, 16995, 726, 12165, 11710, 281, 4310, 8961, 8792, 8217, 18, 889, 5773, 32632, 801, 695, 16, 510, 3893, 457, 5159, 1051, 18, 510, 15060, 16, 374, 2174, 17270, 28597, 7674, 348, 818, 4110, 13659, 6951, 16, 1696, 282, 36835, 292, 5018, 1344, 8067, 1143, 1512, 18, 740, 3684, 16, 374, 5957, 2003, 840, 6273, 294, 11135, 381, 2802, 7167, 4760, 28029, 2149, 277, 18, 824, 47163, 2125, 10691, 322, 3440, 491, 3763, 470, 498, 7106, 16, 374, 2957, 7050, 477, 24095, 4500, 18, 519, 6957, 4500, 18, 1671, 18, 19134, 334, 6841, 395, 1354, 289, 23292, 16379, 8714, 281, 430, 4238, 978, 779, 18, 385, 978, 575, 7619, 16379, 8714, 289, 3531, 16, 2961, 12171, 37673, 309, 47163, 18, 3397, 3170, 1742, 22225, 309, 5616, 539, 10772, 25455, 365, 289, 38519, 541, 2762, 30952, 282, 5118, 281, 26662, 19080, 4896, 3436, 5041, 443, 4691, 12281, 1671, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1310, 2077, 44365, 484, 282, 424, 380, 680, 9207, 14154, 4855, 22, 16, 988, 282, 10666, 16, 2555, 3612, 16, 685, 20817, 43179, 34754, 2414, 17, 35536, 724, 266, 2414, 18, 824, 7475, 14160, 16, 492, 16, 19482, 282, 4349, 37010, 16, 22424, 1475, 1423, 20784, 454, 16, 7073, 7314, 281, 5632, 16948, 282, 33027, 553, 18, 2263, 7259, 16789, 42383, 16, 2897, 6611, 16, 374, 1139, 1413, 4615, 478, 885, 382, 4612, 861, 31224, 30, 630, 9544, 4201, 3828, 46899, 11285, 334, 10143, 1767, 18, 824, 3163, 994, 13499, 16, 745, 18137, 43179, 34754, 13103, 17, 35536, 724, 6305, 1041, 424, 380, 680, 9207, 15064, 4855, 22, 334, 38601, 282, 22424, 4543, 20784, 382, 18, 478, 4182, 17434, 23285, 16, 282, 3765, 309, 1061, 3612, 7847, 779, 44789, 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 ]
[ 1214, 33672, 2503, 13132, 411, 17, 431, 12677, 4036, 6964, 22137, 7930, 2740, 43154, 35742, 3188, 461, 1939, 4238, 18, 1937, 17123, 11411, 11024, 951, 52, 17510, 6996, 1424, 16, 11460, 2756, 34721, 7425, 282, 18050, 1310, 778, 31171, 18, 3397, 23108, 726, 38245, 22378, 42552, 3183, 9153, 2334, 16, 17469, 440, 440, 589, 16, 439, 5720, 2707, 289, 31255, 347, 18, 2, 1, 87, 1456, 81, 2448, 30, 11162, 8557, 2407, 7622, 23447, 14217, 26258, 25541, 19134, 334, 47163, 18, 1253, 8350, 47666, 282, 13305, 8026, 22085, 9038, 4533, 1505, 19134, 334, 14217, 13360, 22010, 18, 49328, 520, 10661, 13659, 5363, 9978, 31957, 16, 281, 3195, 1639, 745, 3257, 5291, 6737, 28029, 47666, 18, 365, 47627, 12335, 8961, 341, 28029, 334, 1335, 7705, 35471, 1833, 282, 1421, 4570, 16, 519, 6957, 4500, 18, 1671, 18, 31224, 30, 4408, 44134, 16, 9478, 14217, 735, 4587, 1805, 322, 687, 24792, 16, 515, 289, 1888, 6367, 4202, 16, 28744, 309, 3614, 5439, 282, 9937, 18, 37254, 3171, 334, 19745, 39722, 26119, 36893, 6579, 17754, 12512, 32119, 19134, 289, 36893, 9427, 6773, 541, 14296, 12512, 47099, 371, 4284, 763, 16021, 23292, 48944, 289, 505, 16169, 1016, 18, 478, 677, 5118, 281, 5524, 6279, 34915, 16, 5210, 289, 34926, 5842, 9427, 6773, 46965, 309, 49983, 46857, 14561, 8217, 21089, 18984, 4076, 473, 630, 14302, 8163, 13, 910, 510, 5130, 282, 9907, 5439, 18, 5857, 489, 382, 16, 334, 4734, 11944, 16, 478, 26296, 1102, 530, 22360, 16, 47666, 282, 3198, 13305, 16, 3604, 13659, 516, 49834, 334, 24929, 47163, 282, 2095, 47099, 16021, 16, 4284, 2198, 697, 23292, 16, 334, 14217, 13360, 289, 33043, 22010, 18, 42427, 347, 2986, 322, 4128, 41792, 9512, 7901, 16, 753, 14565, 2888, 334, 24929, 47163, 15018, 1453, 309, 10640, 11608, 18, 25134, 2232, 6524, 354, 349, 4284, 468, 16021, 23292, 840, 4460, 798, 13659, 15224, 334, 9427, 4489, 277, 309, 9185, 16159, 6702, 16, 282, 1639, 31285, 4004, 289, 13273, 19082, 7574, 16, 289, 6702, 16, 14790, 1587, 5809, 13305, 861, 47976, 2232, 11617, 19134, 4660, 2444, 9771, 13659, 15224, 6929, 33690, 427, 32119, 12512, 16, 40591, 334, 21573, 4284, 427, 16021, 23292, 48944, 309, 2236, 48944, 473, 16041, 4500, 18, 1671, 9761, 309, 9427, 6773, 16, 11419, 281, 867, 670, 17672, 7519, 979, 289, 3887, 1453, 282, 13930, 292, 18, 403, 7555, 16, 827, 349, 15831, 10317, 19990, 27412, 3326, 1713, 798, 6524, 354, 282, 1939, 7418, 502, 975, 8026, 22085, 28507, 6524, 354, 282, 3417, 4500, 18, 1671, 18, 1178, 282, 13305, 17642, 39846, 1272, 31421, 16, 502, 334, 9427, 4489, 277, 975, 15877, 1061, 7418, 502, 912, 2706, 4500, 18, 1671, 18, 967, 803, 6524, 354, 840, 30351, 31102, 16, 367, 322, 1011, 12522, 282, 13659, 516, 10845, 477, 5022, 3755, 1082, 16, 334, 8331, 16, 764, 282, 7433, 7901, 18, 740, 10398, 8683, 432, 28029, 12460, 2508, 34490, 1698, 16419, 289, 309, 1033, 36728, 7512, 18, 478, 6161, 18100, 3326, 1747, 17626, 1033, 14440, 4004, 289, 13273, 19082, 7574, 16, 28357, 622, 2988, 11608, 309, 10640, 6245, 3231, 4162, 4419, 4460, 1734, 32119, 19134, 349, 4284, 468, 16021, 23292, 16, 18100, 3326, 840, 19323, 4460, 798, 4533, 2232, 6524, 354, 282, 11683, 32119, 12512, 16, 4162, 1754, 281, 430, 4238, 2604, 779, 14481, 6957, 4500, 18, 1671, 18, 910, 510, 5130, 282, 9907, 18, 478, 49313, 16, 1586, 48978, 19796, 16, 5773, 834, 549, 16, 510, 5273, 5037, 25470, 6198, 4533, 13499, 6363, 457, 5159, 1051, 18, 510, 3397, 16, 753, 3604, 49834, 334, 6377, 272, 541, 1354, 289, 7574, 16, 39274, 332, 33498, 3235, 23518, 25867, 4284, 427, 16021, 282, 13305, 1943, 685, 6348, 8501, 16, 14790, 1815, 16, 374, 10640, 1335, 17336, 322, 3884, 1812, 349, 2948, 4696, 415, 13164, 18, 2787, 912, 13659, 6951, 6524, 40045, 334, 47163, 349, 6377, 23292, 687, 282, 803, 1750, 18, 15517, 16, 7938, 415, 13164, 34490, 939, 30736, 16, 289, 2241, 16, 36389, 16, 374, 29557, 424, 1710, 424, 15109, 16, 1715, 1514, 40376, 15259, 3038, 6985, 282, 6524, 464, 18, 459, 481, 24344, 33615, 30, 411, 1209, 28029, 334, 47163, 309, 1805, 289, 8884, 6110, 2364, 430, 7418, 11404, 510, 334, 3506, 272, 18, 981, 289, 502, 16, 1715, 1992, 1177, 430, 9, 2270, 811, 309, 3022, 11337, 1631, 861, 967, 803, 12189, 10050, 16, 374, 329, 1435, 3134, 25457, 912, 289, 35841, 1963, 18, 478, 11233, 5773, 13860, 16, 2006, 1805, 1631, 16, 827, 492, 3994, 282, 13305, 16, 30081, 282, 6957, 4500, 18, 1671, 2211, 367, 827, 309, 37640, 8803, 282, 9743, 670, 282, 34548, 26402, 510, 726, 282, 491, 3763, 18, 2787, 912, 1122, 16995, 726, 12165, 11710, 281, 4310, 8961, 8792, 8217, 18, 889, 5773, 32632, 801, 695, 16, 510, 3893, 457, 5159, 1051, 18, 510, 15060, 16, 374, 2174, 17270, 28597, 7674, 348, 818, 4110, 13659, 6951, 16, 1696, 282, 36835, 292, 5018, 1344, 8067, 1143, 1512, 18, 740, 3684, 16, 374, 5957, 2003, 840, 6273, 294, 11135, 381, 2802, 7167, 4760, 28029, 2149, 277, 18, 824, 47163, 2125, 10691, 322, 3440, 491, 3763, 470, 498, 7106, 16, 374, 2957, 7050, 477, 24095, 4500, 18, 519, 6957, 4500, 18, 1671, 18, 19134, 334, 6841, 395, 1354, 289, 23292, 16379, 8714, 281, 430, 4238, 978, 779, 18, 385, 978, 575, 7619, 16379, 8714, 289, 3531, 16, 2961, 12171, 37673, 309, 47163, 18, 3397, 3170, 1742, 22225, 309, 5616, 539, 10772, 25455, 365, 289, 38519, 541, 2762, 30952, 282, 5118, 281, 26662, 19080, 4896, 3436, 5041, 443, 4691, 12281, 1671, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1310, 2077, 44365, 484, 282, 424, 380, 680, 9207, 14154, 4855, 22, 16, 988, 282, 10666, 16, 2555, 3612, 16, 685, 20817, 43179, 34754, 2414, 17, 35536, 724, 266, 2414, 18, 824, 7475, 14160, 16, 492, 16, 19482, 282, 4349, 37010, 16, 22424, 1475, 1423, 20784, 454, 16, 7073, 7314, 281, 5632, 16948, 282, 33027, 553, 18, 2263, 7259, 16789, 42383, 16, 2897, 6611, 16, 374, 1139, 1413, 4615, 478, 885, 382, 4612, 861, 31224, 30, 630, 9544, 4201, 3828, 46899, 11285, 334, 10143, 1767, 18, 824, 3163, 994, 13499, 16, 745, 18137, 43179, 34754, 13103, 17, 35536, 724, 6305, 1041, 424, 380, 680, 9207, 15064, 4855, 22, 334, 38601, 282, 22424, 4543, 20784, 382, 18, 478, 4182, 17434, 23285, 16, 282, 3765, 309, 1061, 3612, 7847, 779, 44789, 16 ]
[ 19482, 309, 1966, 45075, 11929, 1207, 282, 33027, 15459, 23567, 15064, 282, 4349, 47648, 37010, 16, 12983, 21025, 3595, 3193, 43547, 9766, 282, 4599, 14691, 17, 17827, 20784, 382, 16, 1586, 282, 3941, 1728, 21785, 7925, 11890, 282, 16330, 547, 4349, 289, 322, 3207, 16930, 975, 15481, 16, 510, 12002, 282, 11925, 18, 510, 365, 4675, 808, 44789, 20817, 16, 281, 1498, 17897, 9980, 994, 3595, 3193, 16, 28869, 1247, 381, 13125, 750, 975, 7272, 32174, 18, 14187, 484, 14781, 14132, 1101, 861, 2046, 583, 43179, 34754, 2414, 1423, 16789, 20075, 42383, 18, 985, 5923, 3197, 24483, 10027, 13267, 477, 7755, 309, 17187, 5688, 5540, 12074, 41351, 383, 2679, 435, 391, 2211, 1962, 931, 9665, 282, 6551, 411, 35237, 363, 636, 289, 7118, 1336, 2944, 16, 282, 424, 380, 680, 575, 14154, 7110, 4452, 2364, 48578, 16, 8641, 38952, 280, 9935, 965, 14158, 34316, 18, 365, 3765, 309, 1061, 3612, 16, 3110, 3197, 24483, 10027, 13267, 16, 7110, 2826, 22608, 309, 11929, 1207, 16, 481, 4322, 11836, 282, 1360, 28826, 781, 18, 740, 4302, 21025, 2794, 5348, 43547, 9766, 282, 4599, 20784, 382, 322, 2262, 4131, 18, 824, 3163, 12074, 16, 19482, 424, 1459, 2800, 16, 492, 1139, 1413, 4615, 1450, 19244, 4612, 18, 2255, 290, 6595, 2068, 409, 492, 289, 322, 4539, 16, 453, 428, 3708, 13317, 282, 13335, 281, 33943, 5632, 16948, 1011, 15616, 289, 11890, 282, 6993, 37217, 4349, 18, 3654, 678, 6554, 10100, 8348, 282, 46899, 11285, 16, 492, 322, 3365, 18, 365, 3453, 14154, 505, 2898, 530, 428, 18380, 16, 3754, 16, 282, 30310, 292, 290, 1762, 390, 282, 6104, 1045, 764, 18157, 16, 374, 492, 683, 27159, 937, 334, 14154, 281, 49900, 20606, 18, 365, 3453, 14154, 309, 30641, 322, 34657, 16, 367, 478, 18386, 18, 8381, 470, 322, 9253, 20052, 4302, 38770, 37496, 290, 2982, 582, 281, 42334, 41351, 383, 2679, 435, 18, 2046, 20592, 3022, 9112, 18398, 282, 1360, 3988, 4931, 1176, 411, 15586, 16, 12509, 16908, 282, 5324, 18, 478, 1916, 9769, 17660, 3319, 33543, 290, 424, 380, 680, 2992, 9207, 14154, 18, 5741, 18, 2783, 18, 3902, 336, 18, 417, 28539, 5065, 11132, 30, 7110, 10872, 33027, 553, 391, 4401, 483, 13558, 334, 22404, 10321, 2928, 954, 16, 43117, 49900, 20606, 16, 8089, 281, 11117, 13242, 289, 22317, 2608, 428, 294, 14732, 277, 16, 453, 289, 48652, 289, 23870, 14432, 281, 2872, 16, 510, 5301, 20784, 15064, 18, 510, 439, 6476, 294, 18328, 492, 1715, 16808, 300, 16, 371, 803, 1375, 343, 298, 2135, 18, 985, 975, 20800, 282, 4884, 4349, 3624, 16, 867, 1033, 282, 33027, 553, 35, 2151, 12101, 445, 9416, 483, 44270, 282, 2759, 27701, 18, 985, 942, 20382, 2733, 40801, 1423, 1805, 5433, 41651, 16, 374, 35467, 2301, 38770, 37496, 7832, 294, 33027, 553, 289, 5632, 8301, 825, 2928, 954, 18, 6831, 15841, 16, 282, 4810, 16, 15379, 23500, 16644, 6814, 15064, 309, 10355, 12360, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 289, 18211, 17556, 290, 4153, 17087, 15242, 1949, 11546, 707, 25481, 1275, 860, 1407, 5669, 16, 9744, 290, 18202, 1639, 44343, 309, 7266, 1223, 4479, 779, 18, 32858, 11004, 8357, 11412, 2900, 4999, 6721, 1175, 21398, 13303, 2235, 360, 13573, 2044, 282, 41403, 9347, 16, 367, 1038, 1713, 341, 6287, 567, 10194, 31230, 281, 4650, 758, 17986, 16, 2548, 12189, 18, 31224, 30, 42314, 35579, 16, 374, 3227, 10197, 9744, 290, 50114, 9609, 329, 5670, 1949, 11546, 707, 25481, 1275, 860, 1407, 5669, 16, 639, 22812, 10631, 282, 10882, 5475, 16, 1011, 3692, 434, 11330, 2420, 2155, 15803, 16640, 367, 289, 5696, 385, 13419, 3190, 18, 31029, 1949, 2044, 38117, 41779, 8495, 309, 2089, 6266, 16, 16926, 3781, 17, 9952, 21569, 18, 16640, 3828, 385, 13419, 3190, 290, 34838, 5410, 8604, 309, 31438, 1949, 16096, 432, 11546, 707, 25481, 432, 11412, 541, 19267, 1175, 289, 290, 25307, 282, 5410, 42091, 8369, 4956, 350, 377, 1000, 20305, 42027, 25387, 289, 7583, 20783, 1734, 26651, 938, 4699, 19504, 473, 415, 4395, 17014, 47720, 30483, 17, 32636, 718, 4956, 350, 377, 1000, 20165, 41779, 7955, 1949, 11546, 707, 25481, 1275, 860, 1407, 5669, 281, 38599, 33042, 1949, 13840, 11412, 978, 4528, 16, 5130, 282, 9907, 48540, 680, 3781, 17, 14130, 18, 9857, 575, 8495, 282, 10882, 5475, 6925, 1737, 12349, 17125, 778, 13417, 18, 6624, 3056, 1175, 289, 5670, 14855, 10780, 282, 10416, 5281, 25909, 290, 18202, 11412, 860, 1407, 5669, 541, 7179, 11604, 18, 4712, 14789, 15684, 4957, 5768, 478, 40659, 40121, 536, 25289, 11993, 470, 289, 30885, 16, 374, 678, 478, 50168, 24800, 10268, 9779, 289, 15166, 3860, 26657, 282, 3338, 1949, 7338, 289, 31167, 13602, 289, 10471, 1175, 289, 5670, 19132, 25438, 29620, 539, 4363, 45104, 662, 567, 1209, 17347, 16, 282, 970, 2875, 282, 6491, 7225, 289, 3623, 861, 50129, 16, 374, 11546, 707, 25481, 873, 1747, 1718, 1920, 309, 34964, 4325, 933, 834, 399, 1751, 473, 275, 490, 530, 282, 2452, 415, 9827, 13, 282, 5579, 17, 13825, 16, 3828, 282, 17130, 4696, 478, 677, 2656, 470, 3781, 17, 15975, 415, 4395, 7550, 9057, 3951, 18, 478, 8706, 1186, 12789, 290, 14885, 18435, 11412, 16, 14241, 293, 416, 23462, 8786, 281, 30147, 3250, 4747, 304, 4981, 282, 6551, 18, 1268, 4183, 294, 38599, 7295, 277, 8357, 840, 6958, 2935, 9368, 282, 1175, 18, 7254, 16, 1660, 1146, 743, 862, 19267, 1175, 282, 9347, 7358, 8786, 16, 5575, 19848, 282, 4698, 3678, 4426, 2222, 16, 374, 49260, 906, 22546, 910, 510, 4848, 9057, 3951, 18, 3266, 1602, 17, 32636, 778, 4956, 350, 377, 748, 541, 4981, 860, 1407, 5669, 685, 6065, 282, 12838, 978, 779, 18, 23744, 868, 549, 49260, 1038, 14782, 16, 374, 43277, 12483, 12845, 360, 1175, 3504, 309, 2846, 779, 16, 374, 35723, 2056, 21304, 1910, 390, 1135, 18, 28458, 4183, 7295, 281, 6175, 12851, 20194, 24687, 322, 2619, 3437, 986, 16, 2992, 1943, 953, 281, 1204, 1248, 1205, 1011, 4183, 18, 860, 1407, 5669, 16, 3084, 16096, 451, 11546, 707, 299, 44678, 289, 7554, 17, 6936, 35058, 5670, 13470, 11697, 31788, 9125, 3695, 16, 23, 2634, 7833, 16, 8908, 5134, 309, 12908, 23352, 16096, 1051, 16, 2511, 16269, 16, 2261, 18241, 670, 6603, 17203, 41562, 289, 1032, 16096, 432, 37379, 18, 365, 1359, 707, 25481, 873, 1698, 1718, 1920, 309, 834, 399, 1751, 715, 56, 60, 15275, 473, 919, 2508, 834, 791, 478, 1464, 363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19482, 309, 1966, 45075, 11929, 1207, 282, 33027, 15459, 23567, 15064, 282, 4349, 47648, 37010, 16, 12983, 21025, 3595, 3193, 43547, 9766, 282, 4599, 14691, 17, 17827, 20784, 382, 16, 1586, 282, 3941, 1728, 21785, 7925, 11890, 282, 16330, 547, 4349, 289, 322, 3207, 16930, 975, 15481, 16, 510, 12002, 282, 11925, 18, 510, 365, 4675, 808, 44789, 20817, 16, 281, 1498, 17897, 9980, 994, 3595, 3193, 16, 28869, 1247, 381, 13125, 750, 975, 7272, 32174, 18, 14187, 484, 14781, 14132, 1101, 861, 2046, 583, 43179, 34754, 2414, 1423, 16789, 20075, 42383, 18, 985, 5923, 3197, 24483, 10027, 13267, 477, 7755, 309, 17187, 5688, 5540, 12074, 41351, 383, 2679, 435, 391, 2211, 1962, 931, 9665, 282, 6551, 411, 35237, 363, 636, 289, 7118, 1336, 2944, 16, 282, 424, 380, 680, 575, 14154, 7110, 4452, 2364, 48578, 16, 8641, 38952, 280, 9935, 965, 14158, 34316, 18, 365, 3765, 309, 1061, 3612, 16, 3110, 3197, 24483, 10027, 13267, 16, 7110, 2826, 22608, 309, 11929, 1207, 16, 481, 4322, 11836, 282, 1360, 28826, 781, 18, 740, 4302, 21025, 2794, 5348, 43547, 9766, 282, 4599, 20784, 382, 322, 2262, 4131, 18, 824, 3163, 12074, 16, 19482, 424, 1459, 2800, 16, 492, 1139, 1413, 4615, 1450, 19244, 4612, 18, 2255, 290, 6595, 2068, 409, 492, 289, 322, 4539, 16, 453, 428, 3708, 13317, 282, 13335, 281, 33943, 5632, 16948, 1011, 15616, 289, 11890, 282, 6993, 37217, 4349, 18, 3654, 678, 6554, 10100, 8348, 282, 46899, 11285, 16, 492, 322, 3365, 18, 365, 3453, 14154, 505, 2898, 530, 428, 18380, 16, 3754, 16, 282, 30310, 292, 290, 1762, 390, 282, 6104, 1045, 764, 18157, 16, 374, 492, 683, 27159, 937, 334, 14154, 281, 49900, 20606, 18, 365, 3453, 14154, 309, 30641, 322, 34657, 16, 367, 478, 18386, 18, 8381, 470, 322, 9253, 20052, 4302, 38770, 37496, 290, 2982, 582, 281, 42334, 41351, 383, 2679, 435, 18, 2046, 20592, 3022, 9112, 18398, 282, 1360, 3988, 4931, 1176, 411, 15586, 16, 12509, 16908, 282, 5324, 18, 478, 1916, 9769, 17660, 3319, 33543, 290, 424, 380, 680, 2992, 9207, 14154, 18, 5741, 18, 2783, 18, 3902, 336, 18, 417, 28539, 5065, 11132, 30, 7110, 10872, 33027, 553, 391, 4401, 483, 13558, 334, 22404, 10321, 2928, 954, 16, 43117, 49900, 20606, 16, 8089, 281, 11117, 13242, 289, 22317, 2608, 428, 294, 14732, 277, 16, 453, 289, 48652, 289, 23870, 14432, 281, 2872, 16, 510, 5301, 20784, 15064, 18, 510, 439, 6476, 294, 18328, 492, 1715, 16808, 300, 16, 371, 803, 1375, 343, 298, 2135, 18, 985, 975, 20800, 282, 4884, 4349, 3624, 16, 867, 1033, 282, 33027, 553, 35, 2151, 12101, 445, 9416, 483, 44270, 282, 2759, 27701, 18, 985, 942, 20382, 2733, 40801, 1423, 1805, 5433, 41651, 16, 374, 35467, 2301, 38770, 37496, 7832, 294, 33027, 553, 289, 5632, 8301, 825, 2928, 954, 18, 6831, 15841, 16, 282, 4810, 16, 15379, 23500, 16644, 6814, 15064, 309, 10355, 12360, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 289, 18211, 17556, 290, 4153, 17087, 15242, 1949, 11546, 707, 25481, 1275, 860, 1407, 5669, 16, 9744, 290, 18202, 1639, 44343, 309, 7266, 1223, 4479, 779, 18, 32858, 11004, 8357, 11412, 2900, 4999, 6721, 1175, 21398, 13303, 2235, 360, 13573, 2044, 282, 41403, 9347, 16, 367, 1038, 1713, 341, 6287, 567, 10194, 31230, 281, 4650, 758, 17986, 16, 2548, 12189, 18, 31224, 30, 42314, 35579, 16, 374, 3227, 10197, 9744, 290, 50114, 9609, 329, 5670, 1949, 11546, 707, 25481, 1275, 860, 1407, 5669, 16, 639, 22812, 10631, 282, 10882, 5475, 16, 1011, 3692, 434, 11330, 2420, 2155, 15803, 16640, 367, 289, 5696, 385, 13419, 3190, 18, 31029, 1949, 2044, 38117, 41779, 8495, 309, 2089, 6266, 16, 16926, 3781, 17, 9952, 21569, 18, 16640, 3828, 385, 13419, 3190, 290, 34838, 5410, 8604, 309, 31438, 1949, 16096, 432, 11546, 707, 25481, 432, 11412, 541, 19267, 1175, 289, 290, 25307, 282, 5410, 42091, 8369, 4956, 350, 377, 1000, 20305, 42027, 25387, 289, 7583, 20783, 1734, 26651, 938, 4699, 19504, 473, 415, 4395, 17014, 47720, 30483, 17, 32636, 718, 4956, 350, 377, 1000, 20165, 41779, 7955, 1949, 11546, 707, 25481, 1275, 860, 1407, 5669, 281, 38599, 33042, 1949, 13840, 11412, 978, 4528, 16, 5130, 282, 9907, 48540, 680, 3781, 17, 14130, 18, 9857, 575, 8495, 282, 10882, 5475, 6925, 1737, 12349, 17125, 778, 13417, 18, 6624, 3056, 1175, 289, 5670, 14855, 10780, 282, 10416, 5281, 25909, 290, 18202, 11412, 860, 1407, 5669, 541, 7179, 11604, 18, 4712, 14789, 15684, 4957, 5768, 478, 40659, 40121, 536, 25289, 11993, 470, 289, 30885, 16, 374, 678, 478, 50168, 24800, 10268, 9779, 289, 15166, 3860, 26657, 282, 3338, 1949, 7338, 289, 31167, 13602, 289, 10471, 1175, 289, 5670, 19132, 25438, 29620, 539, 4363, 45104, 662, 567, 1209, 17347, 16, 282, 970, 2875, 282, 6491, 7225, 289, 3623, 861, 50129, 16, 374, 11546, 707, 25481, 873, 1747, 1718, 1920, 309, 34964, 4325, 933, 834, 399, 1751, 473, 275, 490, 530, 282, 2452, 415, 9827, 13, 282, 5579, 17, 13825, 16, 3828, 282, 17130, 4696, 478, 677, 2656, 470, 3781, 17, 15975, 415, 4395, 7550, 9057, 3951, 18, 478, 8706, 1186, 12789, 290, 14885, 18435, 11412, 16, 14241, 293, 416, 23462, 8786, 281, 30147, 3250, 4747, 304, 4981, 282, 6551, 18, 1268, 4183, 294, 38599, 7295, 277, 8357, 840, 6958, 2935, 9368, 282, 1175, 18, 7254, 16, 1660, 1146, 743, 862, 19267, 1175, 282, 9347, 7358, 8786, 16, 5575, 19848, 282, 4698, 3678, 4426, 2222, 16, 374, 49260, 906, 22546, 910, 510, 4848, 9057, 3951, 18, 3266, 1602, 17, 32636, 778, 4956, 350, 377, 748, 541, 4981, 860, 1407, 5669, 685, 6065, 282, 12838, 978, 779, 18, 23744, 868, 549, 49260, 1038, 14782, 16, 374, 43277, 12483, 12845, 360, 1175, 3504, 309, 2846, 779, 16, 374, 35723, 2056, 21304, 1910, 390, 1135, 18, 28458, 4183, 7295, 281, 6175, 12851, 20194, 24687, 322, 2619, 3437, 986, 16, 2992, 1943, 953, 281, 1204, 1248, 1205, 1011, 4183, 18, 860, 1407, 5669, 16, 3084, 16096, 451, 11546, 707, 299, 44678, 289, 7554, 17, 6936, 35058, 5670, 13470, 11697, 31788, 9125, 3695, 16, 23, 2634, 7833, 16, 8908, 5134, 309, 12908, 23352, 16096, 1051, 16, 2511, 16269, 16, 2261, 18241, 670, 6603, 17203, 41562, 289, 1032, 16096, 432, 37379, 18, 365, 1359, 707, 25481, 873, 1698, 1718, 1920, 309, 834, 399, 1751, 715, 56, 60, 15275, 473, 919, 2508, 834, 791, 478, 1464, 363 ]
[ 18482, 17, 280, 11, 50157, 4415, 9979, 282, 3580, 13407, 17, 49639, 320, 309, 18840, 9068, 18, 365, 4675, 808, 309, 38257, 35436, 5670, 29120, 1272, 7295, 8389, 4528, 510, 860, 1407, 5669, 289, 786, 461, 9279, 494, 18, 12726, 2236, 3118, 9727, 17937, 860, 1407, 5669, 30081, 282, 6957, 3763, 7307, 18, 21779, 11617, 40429, 309, 8357, 6566, 11412, 2900, 4528, 895, 33749, 491, 5096, 7307, 18, 23656, 7179, 19267, 4419, 46557, 16, 374, 11517, 2900, 4528, 12350, 10657, 3299, 541, 23676, 289, 25246, 11624, 13104, 10950, 291, 16, 282, 4810, 541, 6198, 4025, 21749, 680, 4291, 700, 18, 640, 34947, 47175, 8225, 2567, 11412, 2397, 47348, 40469, 13756, 18, 10085, 16, 827, 697, 19763, 25246, 11624, 14508, 10950, 289, 35481, 778, 16, 2805, 281, 9752, 12549, 1734, 4096, 309, 33794, 16, 2172, 1788, 6187, 16986, 30773, 17, 12920, 408, 9487, 4137, 1764, 48438, 18, 25017, 7295, 541, 1175, 1269, 16, 5273, 1764, 48438, 18, 478, 730, 4920, 466, 329, 813, 639, 2846, 11604, 16, 367, 1314, 25181, 778, 10950, 4167, 3819, 1578, 16, 367, 25246, 368, 16671, 3525, 10695, 637, 910, 510, 13744, 12189, 18, 996, 670, 4345, 16, 541, 1175, 4748, 3604, 3772, 294, 21946, 40901, 16, 4725, 18290, 478, 32485, 18, 8381, 861, 478, 27728, 268, 3063, 16, 961, 1314, 11292, 16, 510, 481, 764, 16063, 33140, 18, 1345, 5087, 1904, 12340, 9890, 16, 515, 282, 9818, 5395, 9347, 3525, 360, 7618, 910, 510, 9848, 1764, 48438, 18, 45633, 334, 860, 1407, 5669, 47510, 6287, 11993, 281, 50173, 4650, 758, 17986, 282, 22551, 6491, 16, 1660, 2002, 322, 639, 16, 10050, 12189, 18, 365, 10130, 481, 15562, 895, 953, 4473, 24723, 16, 27081, 18290, 478, 32485, 18, 8381, 861, 385, 27781, 10657, 3299, 11546, 707, 25481, 873, 12679, 282, 3998, 6705, 779, 8099, 7225, 1175, 15626, 2041, 9651, 523, 18, 365, 11872, 505, 21161, 4900, 21591, 2407, 18, 4541, 14965, 381, 803, 2010, 5385, 519, 4120, 16, 785, 860, 1407, 5669, 281, 3437, 22044, 536, 13561, 1703, 36488, 24510, 282, 5579, 17, 13825, 16, 367, 9805, 7638, 4137, 6732, 510, 282, 12221, 18, 2171, 286, 1144, 448, 37598, 411, 19267, 7737, 16703, 20367, 294, 2129, 344, 16, 515, 537, 581, 16, 537, 1003, 5343, 453, 289, 322, 2323, 30, 478, 4408, 5083, 478, 12936, 899, 379, 470, 656, 1055, 322, 5658, 18, 1345, 37598, 16, 387, 12489, 873, 18, 4406, 289, 2393, 16, 24886, 448, 16, 8369, 18, 832, 20846, 16, 374, 3984, 13501, 910, 510, 2815, 1655, 6732, 18, 29286, 24637, 9609, 12152, 7295, 16, 1029, 895, 6353, 29469, 722, 18022, 24019, 16, 18749, 1820, 668, 4100, 1386, 622, 309, 4862, 16, 282, 15985, 289, 31212, 9068, 18, 9668, 21435, 718, 21770, 4529, 5000, 7505, 15897, 20716, 33420, 478, 812, 295, 3675, 18806, 5768, 470, 2733, 7625, 11772, 7179, 11604, 30, 478, 38869, 1377, 548, 1698, 9555, 2350, 11956, 861, 22120, 746, 16, 334, 505, 3163, 16, 478, 41265, 305, 4897, 16, 541, 1660, 6040, 1175, 1574, 16096, 451, 7554, 861, 832, 6088, 749, 819, 14067, 289, 22154, 18, 22319, 4830, 17917, 343, 32870, 5860, 9218, 2159, 23716, 4597, 16, 367, 16062, 1880, 24163, 662, 2319, 2695, 968, 18, 365, 11023, 6705, 779, 16775, 31279, 6328, 38117, 22833, 1066, 16, 282, 1754, 5670, 289, 4310, 27506, 510, 31870, 9808, 289, 26642, 12619, 44234, 862, 10419, 360, 10929, 478, 273, 1005, 432, 1440, 25970, 670, 8496, 6657, 9697, 5434, 9766, 4433, 4551, 861, 8255, 4295, 783, 906, 7316, 798, 26253, 27193, 36753, 680, 4623, 282, 40745, 334, 34658, 9942, 289, 3348, 411, 10235, 28096, 4534, 459, 426, 23939, 8308, 17, 45250, 375, 286, 18, 18619, 5270, 11673, 12797, 2632, 567, 7410, 281, 29108, 38345, 309, 4770, 778, 3059, 50035, 4048, 13086, 547, 33895, 4657, 2818, 334, 2987, 282, 30967, 31477, 272, 365, 406, 4681, 5771, 16, 282, 2114, 41280, 1423, 478, 3158, 612, 22695, 470, 282, 2630, 281, 7786, 35898, 334, 13486, 7295, 18, 365, 12500, 978, 779, 34938, 2891, 8765, 7282, 22747, 1051, 334, 9808, 16, 374, 322, 21038, 17899, 860, 1407, 5669, 281, 4154, 979, 16, 367, 1038, 27604, 7583, 5939, 9637, 7435, 18, 889, 18749, 35908, 329, 5781, 14971, 16, 961, 5780, 16, 374, 749, 9727, 2005, 860, 1407, 5669, 322, 1033, 828, 13347, 778, 7554, 18, 20782, 2325, 887, 282, 5941, 24637, 7295, 749, 6278, 382, 289, 9637, 18, 21683, 7897, 282, 19862, 365, 15163, 3828, 16338, 16, 374, 18211, 9013, 13739, 11517, 281, 22551, 6278, 761, 16, 515, 749, 41562, 289, 20024, 16, 961, 1747, 27218, 18, 478, 49, 1407, 5669, 708, 3426, 484, 477, 1514, 18349, 12231, 289, 9818, 4118, 27897, 16, 961, 309, 1169, 912, 16, 6895, 33319, 18349, 12832, 2687, 4833, 910, 510, 22618, 7897, 18, 10110, 385, 13419, 3190, 9848, 1655, 16, 374, 46319, 11789, 12230, 282, 4356, 10929, 1175, 860, 1407, 5669, 2756, 14729, 8733, 13951, 282, 4599, 18924, 18, 41789, 1245, 1247, 478, 324, 1690, 382, 470, 289, 10376, 8786, 1974, 281, 860, 1407, 5669, 20085, 1737, 16708, 7638, 17, 13522, 22917, 727, 509, 356, 1624, 7852, 27780, 282, 3507, 282, 11023, 18, 817, 2815, 16, 374, 18211, 322, 8493, 1791, 282, 23462, 1175, 8786, 541, 4981, 860, 1407, 5669, 18, 478, 677, 803, 9347, 510, 334, 23462, 8786, 510, 3860, 1003, 910, 510, 1109, 5037, 17690, 5439, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 7170, 49812, 18164, 478, 49065, 470, 6370, 8117, 5745, 778, 1011, 25421, 10078, 17, 16744, 770, 411, 16180, 5538, 9402, 32239, 47431, 8566, 7814, 20193, 14529, 282, 3227, 669, 2545, 12159, 13784, 16, 14403, 16, 374, 975, 475, 3066, 16, 428, 3964, 8192, 282, 19843, 478, 1098, 389, 10374, 910, 289, 8409, 25467, 322, 38108, 1954, 360, 4966, 282, 17442, 2083, 18, 31224, 30, 9489, 7977, 1251, 478, 29428, 304, 470, 289, 478, 1098, 389, 4068, 470, 22062, 282, 7545, 4068, 10717, 281, 35009, 23653, 11769, 32462, 18, 11862, 448, 2200, 478, 5459, 7213, 470, 46735, 281, 16052, 5792, 10689, 7179, 18569, 3757, 16202, 4364, 7426, 16, 46308, 16, 374, 17708, 281, 42176, 510, 481, 2301, 1810, 16507, 36766, 18, 9570, 322, 46642, 381, 803, 27366, 1952, 16, 36485, 1733, 282, 6551, 510, 7860, 2906, 334, 17, 15253, 745, 11179, 9095, 7337, 935, 1011, 3322, 18241, 46512, 16, 32877, 11960, 1423, 2768, 4310, 16, 445, 1588, 773, 322, 3225, 12599, 477, 3319, 4816, 23400, 1735, 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 ]
[ 18482, 17, 280, 11, 50157, 4415, 9979, 282, 3580, 13407, 17, 49639, 320, 309, 18840, 9068, 18, 365, 4675, 808, 309, 38257, 35436, 5670, 29120, 1272, 7295, 8389, 4528, 510, 860, 1407, 5669, 289, 786, 461, 9279, 494, 18, 12726, 2236, 3118, 9727, 17937, 860, 1407, 5669, 30081, 282, 6957, 3763, 7307, 18, 21779, 11617, 40429, 309, 8357, 6566, 11412, 2900, 4528, 895, 33749, 491, 5096, 7307, 18, 23656, 7179, 19267, 4419, 46557, 16, 374, 11517, 2900, 4528, 12350, 10657, 3299, 541, 23676, 289, 25246, 11624, 13104, 10950, 291, 16, 282, 4810, 541, 6198, 4025, 21749, 680, 4291, 700, 18, 640, 34947, 47175, 8225, 2567, 11412, 2397, 47348, 40469, 13756, 18, 10085, 16, 827, 697, 19763, 25246, 11624, 14508, 10950, 289, 35481, 778, 16, 2805, 281, 9752, 12549, 1734, 4096, 309, 33794, 16, 2172, 1788, 6187, 16986, 30773, 17, 12920, 408, 9487, 4137, 1764, 48438, 18, 25017, 7295, 541, 1175, 1269, 16, 5273, 1764, 48438, 18, 478, 730, 4920, 466, 329, 813, 639, 2846, 11604, 16, 367, 1314, 25181, 778, 10950, 4167, 3819, 1578, 16, 367, 25246, 368, 16671, 3525, 10695, 637, 910, 510, 13744, 12189, 18, 996, 670, 4345, 16, 541, 1175, 4748, 3604, 3772, 294, 21946, 40901, 16, 4725, 18290, 478, 32485, 18, 8381, 861, 478, 27728, 268, 3063, 16, 961, 1314, 11292, 16, 510, 481, 764, 16063, 33140, 18, 1345, 5087, 1904, 12340, 9890, 16, 515, 282, 9818, 5395, 9347, 3525, 360, 7618, 910, 510, 9848, 1764, 48438, 18, 45633, 334, 860, 1407, 5669, 47510, 6287, 11993, 281, 50173, 4650, 758, 17986, 282, 22551, 6491, 16, 1660, 2002, 322, 639, 16, 10050, 12189, 18, 365, 10130, 481, 15562, 895, 953, 4473, 24723, 16, 27081, 18290, 478, 32485, 18, 8381, 861, 385, 27781, 10657, 3299, 11546, 707, 25481, 873, 12679, 282, 3998, 6705, 779, 8099, 7225, 1175, 15626, 2041, 9651, 523, 18, 365, 11872, 505, 21161, 4900, 21591, 2407, 18, 4541, 14965, 381, 803, 2010, 5385, 519, 4120, 16, 785, 860, 1407, 5669, 281, 3437, 22044, 536, 13561, 1703, 36488, 24510, 282, 5579, 17, 13825, 16, 367, 9805, 7638, 4137, 6732, 510, 282, 12221, 18, 2171, 286, 1144, 448, 37598, 411, 19267, 7737, 16703, 20367, 294, 2129, 344, 16, 515, 537, 581, 16, 537, 1003, 5343, 453, 289, 322, 2323, 30, 478, 4408, 5083, 478, 12936, 899, 379, 470, 656, 1055, 322, 5658, 18, 1345, 37598, 16, 387, 12489, 873, 18, 4406, 289, 2393, 16, 24886, 448, 16, 8369, 18, 832, 20846, 16, 374, 3984, 13501, 910, 510, 2815, 1655, 6732, 18, 29286, 24637, 9609, 12152, 7295, 16, 1029, 895, 6353, 29469, 722, 18022, 24019, 16, 18749, 1820, 668, 4100, 1386, 622, 309, 4862, 16, 282, 15985, 289, 31212, 9068, 18, 9668, 21435, 718, 21770, 4529, 5000, 7505, 15897, 20716, 33420, 478, 812, 295, 3675, 18806, 5768, 470, 2733, 7625, 11772, 7179, 11604, 30, 478, 38869, 1377, 548, 1698, 9555, 2350, 11956, 861, 22120, 746, 16, 334, 505, 3163, 16, 478, 41265, 305, 4897, 16, 541, 1660, 6040, 1175, 1574, 16096, 451, 7554, 861, 832, 6088, 749, 819, 14067, 289, 22154, 18, 22319, 4830, 17917, 343, 32870, 5860, 9218, 2159, 23716, 4597, 16, 367, 16062, 1880, 24163, 662, 2319, 2695, 968, 18, 365, 11023, 6705, 779, 16775, 31279, 6328, 38117, 22833, 1066, 16, 282, 1754, 5670, 289, 4310, 27506, 510, 31870, 9808, 289, 26642, 12619, 44234, 862, 10419, 360, 10929, 478, 273, 1005, 432, 1440, 25970, 670, 8496, 6657, 9697, 5434, 9766, 4433, 4551, 861, 8255, 4295, 783, 906, 7316, 798, 26253, 27193, 36753, 680, 4623, 282, 40745, 334, 34658, 9942, 289, 3348, 411, 10235, 28096, 4534, 459, 426, 23939, 8308, 17, 45250, 375, 286, 18, 18619, 5270, 11673, 12797, 2632, 567, 7410, 281, 29108, 38345, 309, 4770, 778, 3059, 50035, 4048, 13086, 547, 33895, 4657, 2818, 334, 2987, 282, 30967, 31477, 272, 365, 406, 4681, 5771, 16, 282, 2114, 41280, 1423, 478, 3158, 612, 22695, 470, 282, 2630, 281, 7786, 35898, 334, 13486, 7295, 18, 365, 12500, 978, 779, 34938, 2891, 8765, 7282, 22747, 1051, 334, 9808, 16, 374, 322, 21038, 17899, 860, 1407, 5669, 281, 4154, 979, 16, 367, 1038, 27604, 7583, 5939, 9637, 7435, 18, 889, 18749, 35908, 329, 5781, 14971, 16, 961, 5780, 16, 374, 749, 9727, 2005, 860, 1407, 5669, 322, 1033, 828, 13347, 778, 7554, 18, 20782, 2325, 887, 282, 5941, 24637, 7295, 749, 6278, 382, 289, 9637, 18, 21683, 7897, 282, 19862, 365, 15163, 3828, 16338, 16, 374, 18211, 9013, 13739, 11517, 281, 22551, 6278, 761, 16, 515, 749, 41562, 289, 20024, 16, 961, 1747, 27218, 18, 478, 49, 1407, 5669, 708, 3426, 484, 477, 1514, 18349, 12231, 289, 9818, 4118, 27897, 16, 961, 309, 1169, 912, 16, 6895, 33319, 18349, 12832, 2687, 4833, 910, 510, 22618, 7897, 18, 10110, 385, 13419, 3190, 9848, 1655, 16, 374, 46319, 11789, 12230, 282, 4356, 10929, 1175, 860, 1407, 5669, 2756, 14729, 8733, 13951, 282, 4599, 18924, 18, 41789, 1245, 1247, 478, 324, 1690, 382, 470, 289, 10376, 8786, 1974, 281, 860, 1407, 5669, 20085, 1737, 16708, 7638, 17, 13522, 22917, 727, 509, 356, 1624, 7852, 27780, 282, 3507, 282, 11023, 18, 817, 2815, 16, 374, 18211, 322, 8493, 1791, 282, 23462, 1175, 8786, 541, 4981, 860, 1407, 5669, 18, 478, 677, 803, 9347, 510, 334, 23462, 8786, 510, 3860, 1003, 910, 510, 1109, 5037, 17690, 5439, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 7170, 49812, 18164, 478, 49065, 470, 6370, 8117, 5745, 778, 1011, 25421, 10078, 17, 16744, 770, 411, 16180, 5538, 9402, 32239, 47431, 8566, 7814, 20193, 14529, 282, 3227, 669, 2545, 12159, 13784, 16, 14403, 16, 374, 975, 475, 3066, 16, 428, 3964, 8192, 282, 19843, 478, 1098, 389, 10374, 910, 289, 8409, 25467, 322, 38108, 1954, 360, 4966, 282, 17442, 2083, 18, 31224, 30, 9489, 7977, 1251, 478, 29428, 304, 470, 289, 478, 1098, 389, 4068, 470, 22062, 282, 7545, 4068, 10717, 281, 35009, 23653, 11769, 32462, 18, 11862, 448, 2200, 478, 5459, 7213, 470, 46735, 281, 16052, 5792, 10689, 7179, 18569, 3757, 16202, 4364, 7426, 16, 46308, 16, 374, 17708, 281, 42176, 510, 481, 2301, 1810, 16507, 36766, 18, 9570, 322, 46642, 381, 803, 27366, 1952, 16, 36485, 1733, 282, 6551, 510, 7860, 2906, 334, 17, 15253, 745, 11179, 9095, 7337, 935, 1011, 3322, 18241, 46512, 16, 32877, 11960, 1423, 2768, 4310, 16, 445, 1588, 773, 322, 3225, 12599, 477, 3319, 4816, 23400, 1735, 289 ]
[ 282, 1177, 445, 5906, 12525, 478, 1098, 1972, 470, 20915, 32689, 6136, 2019, 411, 46066, 17, 1163, 265, 18, 6389, 413, 8056, 1248, 7545, 7539, 17025, 5573, 21642, 439, 507, 345, 9977, 16, 6370, 8038, 5881, 289, 3757, 2002, 322, 3038, 20359, 282, 27141, 3720, 7362, 512, 18, 5043, 16, 428, 5121, 16, 4722, 9031, 14833, 281, 14497, 17983, 16, 7614, 8309, 12525, 2364, 3216, 434, 24325, 18, 46430, 1157, 10078, 17, 16744, 770, 5658, 33507, 281, 26113, 309, 2961, 13166, 49059, 16, 13412, 1660, 37696, 13587, 3711, 32010, 4253, 7086, 649, 697, 349, 14536, 31819, 18, 1665, 367, 360, 554, 1954, 349, 1209, 1188, 42176, 3711, 50066, 8117, 5745, 2818, 1624, 1379, 383, 3326, 282, 1190, 3402, 8055, 309, 13607, 3586, 18, 510, 10039, 322, 11576, 1800, 478, 29428, 272, 910, 753, 41701, 2992, 11216, 35, 510, 832, 21399, 7113, 5348, 282, 31277, 16, 8508, 850, 507, 16, 3227, 669, 2989, 10687, 18, 510, 46159, 37811, 510, 481, 1143, 22394, 28446, 16, 670, 575, 1336, 8462, 12525, 1038, 1943, 856, 5559, 35, 510, 41432, 28446, 16, 4818, 18, 740, 1299, 2955, 639, 13195, 649, 1743, 519, 37811, 18, 510, 9543, 4926, 375, 1109, 16, 374, 371, 1196, 341, 1290, 37811, 21188, 21755, 898, 2673, 33791, 7372, 18, 14501, 520, 1195, 4249, 2558, 38822, 1574, 7029, 8217, 35, 510, 22343, 1917, 2837, 16432, 639, 309, 2759, 5939, 18, 365, 4822, 1926, 804, 687, 2361, 30, 19917, 10927, 282, 23975, 16, 3136, 16, 282, 33723, 1750, 16, 282, 27283, 808, 18, 46159, 37811, 510, 481, 2091, 655, 8269, 16, 581, 18, 28723, 271, 555, 10064, 15961, 2915, 939, 3525, 18, 510, 37969, 25467, 478, 49065, 470, 510, 15439, 309, 7266, 1223, 4183, 3298, 429, 510, 282, 19427, 1279, 18606, 4466, 4966, 334, 31500, 3601, 29377, 48140, 478, 1098, 1972, 470, 670, 6891, 424, 843, 15945, 1304, 35, 510, 4798, 8434, 25467, 6281, 16, 2091, 16, 7339, 18, 740, 16, 14517, 2874, 4101, 32239, 16, 656, 939, 8249, 309, 899, 18360, 289, 7187, 46681, 697, 1800, 18, 510, 4406, 4136, 17, 299, 48583, 309, 28654, 4966, 35, 510, 2387, 16, 697, 1320, 942, 3670, 18, 510, 15085, 2493, 10133, 281, 478, 20028, 496, 470, 510, 428, 6991, 26236, 294, 2856, 2384, 1616, 16, 1696, 1800, 3711, 6281, 1143, 13435, 1879, 35, 510, 3397, 3240, 4836, 510, 4522, 1920, 18, 8589, 31661, 1011, 1335, 17971, 4466, 18, 510, 439, 282, 10421, 4357, 9347, 2286, 781, 4522, 1920, 35, 510, 14097, 25562, 18, 510, 1397, 6721, 1337, 2048, 481, 6847, 35, 510, 14977, 651, 687, 9764, 18, 510, 459, 387, 35342, 16, 374, 478, 29428, 470, 282, 11084, 8908, 18548, 478, 22262, 9519, 510, 981, 16, 417, 12236, 16, 374, 656, 5087, 1684, 18070, 478, 22262, 861, 510, 30205, 320, 478, 1098, 389, 44533, 470, 24500, 16, 374, 21188, 478, 49065, 470, 37309, 326, 21755, 18, 14501, 16, 639, 2174, 35, 510, 2387, 18, 629, 322, 1109, 373, 16, 374, 1800, 639, 4010, 17, 299, 35655, 2624, 18, 2387, 18, 1345, 37197, 16, 639, 5977, 16, 3579, 564, 655, 740, 282, 3227, 669, 1587, 17343, 898, 11222, 18, 510, 2775, 42032, 774, 16, 1763, 22396, 39208, 16, 322, 4733, 364, 1304, 411, 5424, 265, 35, 510, 2387, 18, 34802, 7736, 639, 2702, 18, 1345, 19785, 3221, 2795, 2948, 16, 374, 1299, 282, 6031, 289, 3225, 18, 510, 1397, 2890, 2023, 14497, 21861, 478, 49065, 470, 1011, 978, 14248, 35, 510, 31084, 373, 49455, 1188, 2872, 289, 18709, 16, 753, 322, 43357, 813, 282, 1854, 668, 5728, 18, 8269, 16, 687, 1974, 656, 14156, 6863, 411, 978, 9047, 18, 510, 19183, 642, 1314, 6863, 294, 1498, 289, 374, 17, 299, 2023, 35, 510, 21373, 18, 510, 6370, 8038, 5881, 16, 15835, 4890, 4577, 16, 1039, 6002, 709, 18, 608, 1304, 1314, 9645, 322, 6683, 548, 3236, 35, 510, 10388, 13900, 17416, 895, 953, 16, 1003, 18, 740, 3960, 16, 11271, 453, 16, 25737, 519, 12675, 18, 510, 985, 17, 299, 16905, 314, 7282, 322, 12699, 2339, 41701, 37811, 7857, 29180, 289, 4809, 10352, 35, 510, 5005, 6544, 294, 1498, 289, 1109, 16, 374, 37811, 510, 481, 22394, 28446, 18, 3647, 4289, 27173, 42222, 25083, 18360, 282, 4398, 17033, 29049, 7756, 18, 510, 985, 4609, 464, 35125, 17488, 478, 1098, 389, 44533, 470, 282, 38396, 5538, 35, 510, 2465, 16, 8602, 4538, 16, 475, 3066, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 29428, 470, 510, 478, 1098, 389, 10374, 861, 6019, 16, 7005, 16287, 16, 5510, 3541, 282, 22018, 289, 32462, 282, 14526, 19410, 16, 367, 1038, 7457, 4753, 290, 7422, 334, 38991, 3216, 547, 3723, 35484, 19843, 942, 4897, 309, 7759, 16180, 5538, 1492, 2, 1, 87, 1456, 81, 2448, 30, 19022, 14604, 280, 1880, 32806, 6489, 576, 5626, 37728, 11854, 16, 10372, 1398, 2170, 17941, 282, 7907, 6189, 263, 17090, 17, 7348, 4205, 297, 18, 365, 2875, 39092, 5823, 1761, 2502, 600, 289, 24469, 24142, 343, 16, 2264, 301, 2906, 282, 27871, 962, 281, 18307, 2439, 38737, 13280, 309, 7620, 7583, 30870, 18, 7758, 13143, 44872, 1533, 26649, 7461, 16, 773, 11103, 2626, 14267, 282, 27063, 31381, 289, 26551, 5355, 12670, 14093, 624, 27500, 280, 289, 16684, 3094, 5937, 10556, 282, 4843, 23, 2562, 18, 31224, 30, 19022, 14604, 280, 778, 24036, 1059, 1096, 21949, 36054, 6573, 16, 309, 1754, 21349, 2626, 13189, 37728, 5781, 6367, 289, 26649, 17090, 17, 7348, 4205, 1798, 282, 34833, 547, 3580, 7907, 6189, 263, 18, 7758, 898, 28384, 1533, 11854, 16, 5358, 2339, 282, 5703, 26649, 17090, 17, 7348, 4205, 486, 18, 4149, 11103, 2626, 14267, 282, 8597, 416, 3320, 42714, 7461, 289, 27063, 26551, 5355, 12670, 18, 7914, 5688, 6279, 16684, 3094, 5937, 10556, 282, 3417, 4500, 18, 1439, 712, 473, 47190, 4843, 23, 4500, 3406, 289, 9772, 4121, 783, 18, 4824, 411, 39092, 24482, 1282, 7615, 363, 349, 6245, 1979, 12783, 13811, 282, 27500, 476, 16, 1421, 1631, 510, 349, 8597, 451, 30546, 282, 8362, 16, 18379, 18952, 2986, 11103, 2626, 14267, 282, 3705, 749, 19683, 9959, 18, 365, 2875, 39092, 11854, 510, 1761, 2502, 600, 289, 24469, 24142, 343, 473, 10548, 3793, 11875, 510, 3720, 10602, 1388, 289, 25486, 32428, 36357, 814, 640, 5626, 942, 4976, 16, 428, 5688, 2906, 478, 409, 3646, 17, 375, 2676, 1250, 470, 6535, 282, 5722, 1212, 13157, 289, 12219, 334, 18544, 7907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1177, 445, 5906, 12525, 478, 1098, 1972, 470, 20915, 32689, 6136, 2019, 411, 46066, 17, 1163, 265, 18, 6389, 413, 8056, 1248, 7545, 7539, 17025, 5573, 21642, 439, 507, 345, 9977, 16, 6370, 8038, 5881, 289, 3757, 2002, 322, 3038, 20359, 282, 27141, 3720, 7362, 512, 18, 5043, 16, 428, 5121, 16, 4722, 9031, 14833, 281, 14497, 17983, 16, 7614, 8309, 12525, 2364, 3216, 434, 24325, 18, 46430, 1157, 10078, 17, 16744, 770, 5658, 33507, 281, 26113, 309, 2961, 13166, 49059, 16, 13412, 1660, 37696, 13587, 3711, 32010, 4253, 7086, 649, 697, 349, 14536, 31819, 18, 1665, 367, 360, 554, 1954, 349, 1209, 1188, 42176, 3711, 50066, 8117, 5745, 2818, 1624, 1379, 383, 3326, 282, 1190, 3402, 8055, 309, 13607, 3586, 18, 510, 10039, 322, 11576, 1800, 478, 29428, 272, 910, 753, 41701, 2992, 11216, 35, 510, 832, 21399, 7113, 5348, 282, 31277, 16, 8508, 850, 507, 16, 3227, 669, 2989, 10687, 18, 510, 46159, 37811, 510, 481, 1143, 22394, 28446, 16, 670, 575, 1336, 8462, 12525, 1038, 1943, 856, 5559, 35, 510, 41432, 28446, 16, 4818, 18, 740, 1299, 2955, 639, 13195, 649, 1743, 519, 37811, 18, 510, 9543, 4926, 375, 1109, 16, 374, 371, 1196, 341, 1290, 37811, 21188, 21755, 898, 2673, 33791, 7372, 18, 14501, 520, 1195, 4249, 2558, 38822, 1574, 7029, 8217, 35, 510, 22343, 1917, 2837, 16432, 639, 309, 2759, 5939, 18, 365, 4822, 1926, 804, 687, 2361, 30, 19917, 10927, 282, 23975, 16, 3136, 16, 282, 33723, 1750, 16, 282, 27283, 808, 18, 46159, 37811, 510, 481, 2091, 655, 8269, 16, 581, 18, 28723, 271, 555, 10064, 15961, 2915, 939, 3525, 18, 510, 37969, 25467, 478, 49065, 470, 510, 15439, 309, 7266, 1223, 4183, 3298, 429, 510, 282, 19427, 1279, 18606, 4466, 4966, 334, 31500, 3601, 29377, 48140, 478, 1098, 1972, 470, 670, 6891, 424, 843, 15945, 1304, 35, 510, 4798, 8434, 25467, 6281, 16, 2091, 16, 7339, 18, 740, 16, 14517, 2874, 4101, 32239, 16, 656, 939, 8249, 309, 899, 18360, 289, 7187, 46681, 697, 1800, 18, 510, 4406, 4136, 17, 299, 48583, 309, 28654, 4966, 35, 510, 2387, 16, 697, 1320, 942, 3670, 18, 510, 15085, 2493, 10133, 281, 478, 20028, 496, 470, 510, 428, 6991, 26236, 294, 2856, 2384, 1616, 16, 1696, 1800, 3711, 6281, 1143, 13435, 1879, 35, 510, 3397, 3240, 4836, 510, 4522, 1920, 18, 8589, 31661, 1011, 1335, 17971, 4466, 18, 510, 439, 282, 10421, 4357, 9347, 2286, 781, 4522, 1920, 35, 510, 14097, 25562, 18, 510, 1397, 6721, 1337, 2048, 481, 6847, 35, 510, 14977, 651, 687, 9764, 18, 510, 459, 387, 35342, 16, 374, 478, 29428, 470, 282, 11084, 8908, 18548, 478, 22262, 9519, 510, 981, 16, 417, 12236, 16, 374, 656, 5087, 1684, 18070, 478, 22262, 861, 510, 30205, 320, 478, 1098, 389, 44533, 470, 24500, 16, 374, 21188, 478, 49065, 470, 37309, 326, 21755, 18, 14501, 16, 639, 2174, 35, 510, 2387, 18, 629, 322, 1109, 373, 16, 374, 1800, 639, 4010, 17, 299, 35655, 2624, 18, 2387, 18, 1345, 37197, 16, 639, 5977, 16, 3579, 564, 655, 740, 282, 3227, 669, 1587, 17343, 898, 11222, 18, 510, 2775, 42032, 774, 16, 1763, 22396, 39208, 16, 322, 4733, 364, 1304, 411, 5424, 265, 35, 510, 2387, 18, 34802, 7736, 639, 2702, 18, 1345, 19785, 3221, 2795, 2948, 16, 374, 1299, 282, 6031, 289, 3225, 18, 510, 1397, 2890, 2023, 14497, 21861, 478, 49065, 470, 1011, 978, 14248, 35, 510, 31084, 373, 49455, 1188, 2872, 289, 18709, 16, 753, 322, 43357, 813, 282, 1854, 668, 5728, 18, 8269, 16, 687, 1974, 656, 14156, 6863, 411, 978, 9047, 18, 510, 19183, 642, 1314, 6863, 294, 1498, 289, 374, 17, 299, 2023, 35, 510, 21373, 18, 510, 6370, 8038, 5881, 16, 15835, 4890, 4577, 16, 1039, 6002, 709, 18, 608, 1304, 1314, 9645, 322, 6683, 548, 3236, 35, 510, 10388, 13900, 17416, 895, 953, 16, 1003, 18, 740, 3960, 16, 11271, 453, 16, 25737, 519, 12675, 18, 510, 985, 17, 299, 16905, 314, 7282, 322, 12699, 2339, 41701, 37811, 7857, 29180, 289, 4809, 10352, 35, 510, 5005, 6544, 294, 1498, 289, 1109, 16, 374, 37811, 510, 481, 22394, 28446, 18, 3647, 4289, 27173, 42222, 25083, 18360, 282, 4398, 17033, 29049, 7756, 18, 510, 985, 4609, 464, 35125, 17488, 478, 1098, 389, 44533, 470, 282, 38396, 5538, 35, 510, 2465, 16, 8602, 4538, 16, 475, 3066, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 29428, 470, 510, 478, 1098, 389, 10374, 861, 6019, 16, 7005, 16287, 16, 5510, 3541, 282, 22018, 289, 32462, 282, 14526, 19410, 16, 367, 1038, 7457, 4753, 290, 7422, 334, 38991, 3216, 547, 3723, 35484, 19843, 942, 4897, 309, 7759, 16180, 5538, 1492, 2, 1, 87, 1456, 81, 2448, 30, 19022, 14604, 280, 1880, 32806, 6489, 576, 5626, 37728, 11854, 16, 10372, 1398, 2170, 17941, 282, 7907, 6189, 263, 17090, 17, 7348, 4205, 297, 18, 365, 2875, 39092, 5823, 1761, 2502, 600, 289, 24469, 24142, 343, 16, 2264, 301, 2906, 282, 27871, 962, 281, 18307, 2439, 38737, 13280, 309, 7620, 7583, 30870, 18, 7758, 13143, 44872, 1533, 26649, 7461, 16, 773, 11103, 2626, 14267, 282, 27063, 31381, 289, 26551, 5355, 12670, 14093, 624, 27500, 280, 289, 16684, 3094, 5937, 10556, 282, 4843, 23, 2562, 18, 31224, 30, 19022, 14604, 280, 778, 24036, 1059, 1096, 21949, 36054, 6573, 16, 309, 1754, 21349, 2626, 13189, 37728, 5781, 6367, 289, 26649, 17090, 17, 7348, 4205, 1798, 282, 34833, 547, 3580, 7907, 6189, 263, 18, 7758, 898, 28384, 1533, 11854, 16, 5358, 2339, 282, 5703, 26649, 17090, 17, 7348, 4205, 486, 18, 4149, 11103, 2626, 14267, 282, 8597, 416, 3320, 42714, 7461, 289, 27063, 26551, 5355, 12670, 18, 7914, 5688, 6279, 16684, 3094, 5937, 10556, 282, 3417, 4500, 18, 1439, 712, 473, 47190, 4843, 23, 4500, 3406, 289, 9772, 4121, 783, 18, 4824, 411, 39092, 24482, 1282, 7615, 363, 349, 6245, 1979, 12783, 13811, 282, 27500, 476, 16, 1421, 1631, 510, 349, 8597, 451, 30546, 282, 8362, 16, 18379, 18952, 2986, 11103, 2626, 14267, 282, 3705, 749, 19683, 9959, 18, 365, 2875, 39092, 11854, 510, 1761, 2502, 600, 289, 24469, 24142, 343, 473, 10548, 3793, 11875, 510, 3720, 10602, 1388, 289, 25486, 32428, 36357, 814, 640, 5626, 942, 4976, 16, 428, 5688, 2906, 478, 409, 3646, 17, 375, 2676, 1250, 470, 6535, 282, 5722, 1212, 13157, 289, 12219, 334, 18544, 7907 ]
[ 6189, 265, 424, 568, 15691, 17390, 18, 11101, 282, 11896, 1175, 11661, 727, 4742, 1624, 374, 2502, 600, 289, 24142, 343, 898, 28384, 18, 30258, 13282, 49726, 282, 3709, 411, 37978, 7907, 6189, 265, 282, 11084, 16, 2706, 3750, 18, 365, 3198, 6053, 898, 28384, 1033, 4317, 12991, 411, 1175, 16, 3143, 2339, 3455, 282, 10372, 4357, 17090, 17, 7348, 4205, 1484, 16, 6134, 8465, 282, 2114, 21744, 2364, 1939, 4500, 18, 1439, 712, 473, 3927, 315, 4843, 26, 4691, 18, 510, 478, 18386, 18, 8381, 11523, 824, 8872, 23833, 11009, 2125, 898, 3604, 31833, 16, 14790, 1815, 697, 30922, 282, 2068, 409, 18, 1533, 3750, 17635, 7974, 450, 1633, 513, 820, 13875, 1263, 282, 1551, 1279, 17382, 2047, 32428, 36357, 473, 2176, 1316, 24142, 343, 934, 367, 1038, 6816, 10602, 7408, 473, 16443, 2502, 600, 934, 961, 49101, 282, 36539, 505, 8234, 289, 8623, 21409, 18, 26966, 5854, 40018, 9299, 16, 374, 450, 1633, 513, 820, 322, 14522, 14665, 309, 41666, 1979, 5645, 1809, 3352, 18, 824, 505, 3163, 16, 478, 404, 9466, 9012, 16, 374, 26485, 48109, 8234, 289, 22812, 1979, 34246, 22132, 1354, 898, 21954, 281, 7785, 4118, 16826, 16, 282, 9643, 27636, 3444, 4556, 640, 400, 24142, 382, 861, 478, 24569, 5962, 1263, 294, 20311, 289, 23229, 21492, 24807, 13516, 18, 9046, 7473, 282, 4301, 22485, 2009, 19986, 16, 1551, 14001, 2538, 43787, 9235, 613, 16, 10236, 2024, 9452, 282, 9996, 8292, 12717, 294, 5645, 3276, 3761, 19243, 450, 1633, 513, 1465, 519, 6175, 9959, 27567, 334, 18123, 910, 510, 9299, 5854, 450, 1633, 513, 1465, 18, 4756, 43728, 22813, 7316, 282, 34491, 4092, 13360, 3352, 6793, 727, 15362, 14943, 40979, 1624, 282, 2114, 17930, 290, 6342, 6036, 9155, 19243, 450, 1633, 513, 1465, 281, 46984, 304, 5439, 33411, 19752, 278, 405, 309, 17991, 464, 329, 22378, 26303, 18, 365, 7669, 304, 23973, 881, 4092, 11504, 13859, 43728, 21100, 13120, 16, 374, 5626, 281, 6347, 4838, 309, 30195, 16, 367, 1038, 14535, 290, 1169, 309, 3614, 40979, 38908, 282, 34491, 309, 9185, 4075, 491, 17, 25, 11327, 19, 28028, 36515, 17, 1098, 2851, 10706, 25456, 5129, 37627, 6456, 360, 1658, 3750, 11826, 779, 18, 967, 803, 13462, 16, 374, 3772, 294, 4842, 7223, 322, 42968, 18, 365, 5703, 582, 727, 15362, 46251, 16, 374, 19752, 278, 405, 282, 11872, 4145, 779, 7609, 1421, 2299, 309, 17991, 464, 19243, 450, 1633, 513, 1465, 18, 4922, 5825, 2756, 19556, 727, 15362, 411, 584, 419, 844, 429, 289, 4556, 2059, 411, 12706, 16, 1586, 17029, 965, 4631, 5793, 309, 19589, 2576, 640, 1485, 24142, 761, 16, 1586, 1038, 11890, 309, 1335, 17991, 464, 18, 824, 3163, 14840, 450, 1633, 513, 1465, 16, 478, 1567, 3359, 1263, 322, 2397, 48673, 3361, 294, 3416, 14943, 40979, 861, 2949, 924, 16, 492, 2815, 478, 46088, 18, 8381, 910, 374, 478, 23289, 10744, 322, 4247, 5522, 3361, 294, 11171, 16, 3929, 7240, 304, 33760, 3463, 1562, 289, 3348, 411, 39336, 34656, 7733, 3504, 416, 14016, 861, 824, 505, 3163, 16, 17635, 15279, 15707, 1423, 6292, 289, 24649, 282, 40449, 4666, 411, 17, 431, 15140, 8448, 26932, 14943, 40979, 18, 365, 3781, 17, 12495, 5439, 1175, 322, 2458, 34991, 14781, 14943, 40979, 290, 8641, 9155, 4092, 347, 14050, 18034, 19752, 278, 405, 281, 450, 1633, 513, 680, 18, 478, 19479, 15841, 910, 510, 5438, 3781, 17, 15975, 7638, 17, 2589, 12975, 10648, 12568, 478, 46088, 18, 8381, 470, 309, 22599, 290, 10936, 18, 2, 1, 87, 1456, 81, 2448, 30, 17561, 1133, 2891, 282, 4440, 1045, 4783, 326, 11440, 309, 1942, 40497, 10888, 6343, 16, 281, 697, 4947, 4611, 16, 3320, 289, 2954, 281, 3195, 3806, 4194, 9900, 28651, 12670, 18, 967, 803, 2805, 1269, 17963, 16, 334, 4734, 14971, 5500, 478, 563, 401, 910, 639, 21440, 1569, 282, 6160, 16, 785, 37972, 9597, 35085, 478, 4194, 9900, 9351, 470, 282, 12462, 18, 31224, 30, 677, 9937, 29850, 17, 49235, 509, 5482, 478, 563, 401, 470, 15885, 11205, 478, 3096, 1599, 15152, 539, 12761, 3806, 4194, 9900, 28651, 12670, 282, 1175, 282, 4440, 1045, 861, 478, 563, 401, 470, 13765, 305, 40225, 12197, 700, 281, 5653, 779, 30, 282, 1129, 19041, 4164, 15713, 8886, 453, 25168, 3806, 4194, 9900, 21456, 12303, 25295, 434, 19986, 473, 1140, 684, 934, 282, 4698, 3678, 422, 18, 44447, 473, 293, 10097, 448, 40608, 294, 2966, 3707, 17664, 16458, 3416, 13, 289, 422, 18, 4039, 22, 473, 1386, 296, 13377, 19376, 2988, 11062, 700, 16, 367, 3066, 2802, 3173, 12798, 14753, 814, 35975, 38297, 6705, 779, 2438, 16907, 539, 2904, 11944, 294, 4772, 272, 18, 365, 4440, 1045, 639, 1269, 8640, 29924, 289, 7316, 48236, 416, 9996, 4767, 13859, 334, 13373, 5966, 16, 281, 4947, 4611, 14971, 16, 10317, 277, 18, 985, 5429, 16, 5130, 282, 30989, 16, 22178, 9996, 8394, 411, 17, 431, 22478, 309, 1129, 2236, 17, 44300, 4092, 11504, 4419, 4974, 18, 967, 803, 2669, 6110, 48187, 290, 8386, 9996, 4767, 13859, 16, 827, 4498, 3419, 290, 7316, 48236, 547, 16992, 10299, 23850, 30, 10317, 541, 29277, 670, 11335, 34516, 23190, 21086, 1139, 322, 28040, 16, 34715, 16188, 29471, 18, 824, 17, 6093, 17190, 2354, 329, 6814, 17329, 6431, 18955, 22178, 1003, 12072, 4568, 22861, 7257, 473, 4743, 44491, 16, 453, 289, 12655, 933, 934, 4092, 11504, 11065, 12588, 289, 4148, 2664, 281, 36591, 6390, 13280, 30, 282, 4440, 1045, 9996, 13656, 22178, 385, 14332, 1014, 459, 20605, 642, 1624, 4092, 13360, 7824, 300, 17, 41287, 12831, 680, 4623, 1624, 5130, 282, 30989, 18, 5043, 3891, 5693, 9996, 4767, 26162, 1033, 13480, 451, 4004, 16, 30937, 14697, 18, 478, 677, 457, 44720, 24030, 36044, 360, 9163, 8243, 45198, 19193, 20635, 1519, 3772, 1833, 294, 3417, 1644, 2675, 16, 289, 1551, 43183, 481, 21600, 334, 6459, 411, 1129, 910, 510, 24096, 2433, 16188, 29471, 18, 1681, 503, 272, 24617, 10120, 29075, 10299, 23850, 14697, 6881, 17161, 489, 416, 30, 334, 697, 3163, 16, 9449, 478, 630, 17998, 1290, 17664, 16458, 3416, 470, 9996, 7434, 749, 34516, 322, 38042, 18, 740, 309, 11204, 478, 7944, 266, 3655, 13547, 4523, 14057, 470, 17110, 475, 22145, 18, 459, 1830, 519, 478, 5162, 2035, 32137, 9968, 269, 1102, 264, 910, 785, 309, 26219, 5066, 9996, 4164, 5906, 14795, 16711, 4772, 17, 21512, 1015, 16, 1175, 764, 3964, 16, 478, 293, 4571, 7742, 22625, 9597, 24824, 315, 3811, 802, 1717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6189, 265, 424, 568, 15691, 17390, 18, 11101, 282, 11896, 1175, 11661, 727, 4742, 1624, 374, 2502, 600, 289, 24142, 343, 898, 28384, 18, 30258, 13282, 49726, 282, 3709, 411, 37978, 7907, 6189, 265, 282, 11084, 16, 2706, 3750, 18, 365, 3198, 6053, 898, 28384, 1033, 4317, 12991, 411, 1175, 16, 3143, 2339, 3455, 282, 10372, 4357, 17090, 17, 7348, 4205, 1484, 16, 6134, 8465, 282, 2114, 21744, 2364, 1939, 4500, 18, 1439, 712, 473, 3927, 315, 4843, 26, 4691, 18, 510, 478, 18386, 18, 8381, 11523, 824, 8872, 23833, 11009, 2125, 898, 3604, 31833, 16, 14790, 1815, 697, 30922, 282, 2068, 409, 18, 1533, 3750, 17635, 7974, 450, 1633, 513, 820, 13875, 1263, 282, 1551, 1279, 17382, 2047, 32428, 36357, 473, 2176, 1316, 24142, 343, 934, 367, 1038, 6816, 10602, 7408, 473, 16443, 2502, 600, 934, 961, 49101, 282, 36539, 505, 8234, 289, 8623, 21409, 18, 26966, 5854, 40018, 9299, 16, 374, 450, 1633, 513, 820, 322, 14522, 14665, 309, 41666, 1979, 5645, 1809, 3352, 18, 824, 505, 3163, 16, 478, 404, 9466, 9012, 16, 374, 26485, 48109, 8234, 289, 22812, 1979, 34246, 22132, 1354, 898, 21954, 281, 7785, 4118, 16826, 16, 282, 9643, 27636, 3444, 4556, 640, 400, 24142, 382, 861, 478, 24569, 5962, 1263, 294, 20311, 289, 23229, 21492, 24807, 13516, 18, 9046, 7473, 282, 4301, 22485, 2009, 19986, 16, 1551, 14001, 2538, 43787, 9235, 613, 16, 10236, 2024, 9452, 282, 9996, 8292, 12717, 294, 5645, 3276, 3761, 19243, 450, 1633, 513, 1465, 519, 6175, 9959, 27567, 334, 18123, 910, 510, 9299, 5854, 450, 1633, 513, 1465, 18, 4756, 43728, 22813, 7316, 282, 34491, 4092, 13360, 3352, 6793, 727, 15362, 14943, 40979, 1624, 282, 2114, 17930, 290, 6342, 6036, 9155, 19243, 450, 1633, 513, 1465, 281, 46984, 304, 5439, 33411, 19752, 278, 405, 309, 17991, 464, 329, 22378, 26303, 18, 365, 7669, 304, 23973, 881, 4092, 11504, 13859, 43728, 21100, 13120, 16, 374, 5626, 281, 6347, 4838, 309, 30195, 16, 367, 1038, 14535, 290, 1169, 309, 3614, 40979, 38908, 282, 34491, 309, 9185, 4075, 491, 17, 25, 11327, 19, 28028, 36515, 17, 1098, 2851, 10706, 25456, 5129, 37627, 6456, 360, 1658, 3750, 11826, 779, 18, 967, 803, 13462, 16, 374, 3772, 294, 4842, 7223, 322, 42968, 18, 365, 5703, 582, 727, 15362, 46251, 16, 374, 19752, 278, 405, 282, 11872, 4145, 779, 7609, 1421, 2299, 309, 17991, 464, 19243, 450, 1633, 513, 1465, 18, 4922, 5825, 2756, 19556, 727, 15362, 411, 584, 419, 844, 429, 289, 4556, 2059, 411, 12706, 16, 1586, 17029, 965, 4631, 5793, 309, 19589, 2576, 640, 1485, 24142, 761, 16, 1586, 1038, 11890, 309, 1335, 17991, 464, 18, 824, 3163, 14840, 450, 1633, 513, 1465, 16, 478, 1567, 3359, 1263, 322, 2397, 48673, 3361, 294, 3416, 14943, 40979, 861, 2949, 924, 16, 492, 2815, 478, 46088, 18, 8381, 910, 374, 478, 23289, 10744, 322, 4247, 5522, 3361, 294, 11171, 16, 3929, 7240, 304, 33760, 3463, 1562, 289, 3348, 411, 39336, 34656, 7733, 3504, 416, 14016, 861, 824, 505, 3163, 16, 17635, 15279, 15707, 1423, 6292, 289, 24649, 282, 40449, 4666, 411, 17, 431, 15140, 8448, 26932, 14943, 40979, 18, 365, 3781, 17, 12495, 5439, 1175, 322, 2458, 34991, 14781, 14943, 40979, 290, 8641, 9155, 4092, 347, 14050, 18034, 19752, 278, 405, 281, 450, 1633, 513, 680, 18, 478, 19479, 15841, 910, 510, 5438, 3781, 17, 15975, 7638, 17, 2589, 12975, 10648, 12568, 478, 46088, 18, 8381, 470, 309, 22599, 290, 10936, 18, 2, 1, 87, 1456, 81, 2448, 30, 17561, 1133, 2891, 282, 4440, 1045, 4783, 326, 11440, 309, 1942, 40497, 10888, 6343, 16, 281, 697, 4947, 4611, 16, 3320, 289, 2954, 281, 3195, 3806, 4194, 9900, 28651, 12670, 18, 967, 803, 2805, 1269, 17963, 16, 334, 4734, 14971, 5500, 478, 563, 401, 910, 639, 21440, 1569, 282, 6160, 16, 785, 37972, 9597, 35085, 478, 4194, 9900, 9351, 470, 282, 12462, 18, 31224, 30, 677, 9937, 29850, 17, 49235, 509, 5482, 478, 563, 401, 470, 15885, 11205, 478, 3096, 1599, 15152, 539, 12761, 3806, 4194, 9900, 28651, 12670, 282, 1175, 282, 4440, 1045, 861, 478, 563, 401, 470, 13765, 305, 40225, 12197, 700, 281, 5653, 779, 30, 282, 1129, 19041, 4164, 15713, 8886, 453, 25168, 3806, 4194, 9900, 21456, 12303, 25295, 434, 19986, 473, 1140, 684, 934, 282, 4698, 3678, 422, 18, 44447, 473, 293, 10097, 448, 40608, 294, 2966, 3707, 17664, 16458, 3416, 13, 289, 422, 18, 4039, 22, 473, 1386, 296, 13377, 19376, 2988, 11062, 700, 16, 367, 3066, 2802, 3173, 12798, 14753, 814, 35975, 38297, 6705, 779, 2438, 16907, 539, 2904, 11944, 294, 4772, 272, 18, 365, 4440, 1045, 639, 1269, 8640, 29924, 289, 7316, 48236, 416, 9996, 4767, 13859, 334, 13373, 5966, 16, 281, 4947, 4611, 14971, 16, 10317, 277, 18, 985, 5429, 16, 5130, 282, 30989, 16, 22178, 9996, 8394, 411, 17, 431, 22478, 309, 1129, 2236, 17, 44300, 4092, 11504, 4419, 4974, 18, 967, 803, 2669, 6110, 48187, 290, 8386, 9996, 4767, 13859, 16, 827, 4498, 3419, 290, 7316, 48236, 547, 16992, 10299, 23850, 30, 10317, 541, 29277, 670, 11335, 34516, 23190, 21086, 1139, 322, 28040, 16, 34715, 16188, 29471, 18, 824, 17, 6093, 17190, 2354, 329, 6814, 17329, 6431, 18955, 22178, 1003, 12072, 4568, 22861, 7257, 473, 4743, 44491, 16, 453, 289, 12655, 933, 934, 4092, 11504, 11065, 12588, 289, 4148, 2664, 281, 36591, 6390, 13280, 30, 282, 4440, 1045, 9996, 13656, 22178, 385, 14332, 1014, 459, 20605, 642, 1624, 4092, 13360, 7824, 300, 17, 41287, 12831, 680, 4623, 1624, 5130, 282, 30989, 18, 5043, 3891, 5693, 9996, 4767, 26162, 1033, 13480, 451, 4004, 16, 30937, 14697, 18, 478, 677, 457, 44720, 24030, 36044, 360, 9163, 8243, 45198, 19193, 20635, 1519, 3772, 1833, 294, 3417, 1644, 2675, 16, 289, 1551, 43183, 481, 21600, 334, 6459, 411, 1129, 910, 510, 24096, 2433, 16188, 29471, 18, 1681, 503, 272, 24617, 10120, 29075, 10299, 23850, 14697, 6881, 17161, 489, 416, 30, 334, 697, 3163, 16, 9449, 478, 630, 17998, 1290, 17664, 16458, 3416, 470, 9996, 7434, 749, 34516, 322, 38042, 18, 740, 309, 11204, 478, 7944, 266, 3655, 13547, 4523, 14057, 470, 17110, 475, 22145, 18, 459, 1830, 519, 478, 5162, 2035, 32137, 9968, 269, 1102, 264, 910, 785, 309, 26219, 5066, 9996, 4164, 5906, 14795, 16711, 4772, 17, 21512, 1015, 16, 1175, 764, 3964, 16, 478, 293, 4571, 7742, 22625, 9597, 24824, 315, 3811, 802, 1717 ]
[ 282, 2089, 2580, 910, 6881, 14697, 478, 563, 642, 861, 15666, 22178, 9996, 8394, 1472, 411, 17, 431, 9261, 4974, 16, 1003, 265, 589, 2466, 541, 1967, 4148, 2516, 18, 478, 10269, 1116, 24419, 24719, 639, 10954, 3732, 282, 19262, 1212, 14305, 23198, 31614, 3003, 290, 46223, 30195, 289, 764, 4335, 48762, 11241, 34107, 687, 411, 17, 431, 9261, 4974, 16, 515, 2650, 639, 9650, 1569, 18, 9570, 322, 639, 9650, 1569, 289, 6750, 857, 282, 3941, 322, 2619, 27380, 647, 3003, 2236, 411, 13509, 2001, 25202, 820, 473, 1295, 562, 9395, 33596, 25456, 5129, 2001, 510, 478, 18386, 18, 8381, 9979, 290, 46223, 411, 17, 431, 4335, 36591, 1816, 4974, 48759, 282, 1175, 21501, 19784, 410, 27583, 18, 1572, 289, 48759, 16131, 718, 21086, 386, 532, 8179, 559, 18, 1572, 18, 478, 11008, 13402, 47930, 5349, 470, 14697, 15684, 2513, 2722, 13859, 23277, 296, 2347, 282, 19262, 2557, 18, 3739, 282, 5021, 1045, 24030, 19262, 820, 36044, 1248, 1551, 9996, 1519, 3772, 294, 47306, 17, 41287, 12831, 1703, 14205, 395, 16, 515, 1833, 1871, 41062, 32021, 6054, 22537, 309, 2580, 8448, 16427, 18, 30447, 31474, 34086, 1551, 19262, 820, 473, 22, 3750, 4479, 779, 934, 367, 349, 1498, 289, 901, 3643, 1551, 473, 6862, 4238, 4479, 779, 13, 7650, 2580, 45198, 8604, 18, 365, 37508, 5658, 16, 374, 329, 17981, 322, 30959, 10361, 432, 19961, 20612, 9996, 4767, 13859, 30, 32587, 906, 10080, 391, 983, 672, 16, 515, 322, 722, 22178, 16, 289, 537, 411, 5608, 5738, 322, 3014, 16, 374, 2361, 27651, 4753, 16, 29039, 14697, 478, 563, 642, 861, 2949, 924, 16, 2012, 296, 4929, 1133, 36749, 5930, 925, 16, 374, 45198, 868, 322, 10008, 5241, 979, 4974, 18, 2046, 281, 2184, 322, 7214, 27414, 1551, 473, 29340, 934, 988, 35097, 2959, 29581, 5656, 3003, 2012, 296, 4929, 933, 13509, 18, 22616, 24548, 1743, 309, 6584, 23512, 16, 387, 32886, 1533, 3598, 4440, 779, 15790, 16, 282, 2114, 41988, 1423, 10839, 18, 824, 4734, 22616, 16, 6495, 274, 2678, 12717, 294, 4092, 13360, 3352, 16, 45198, 868, 21067, 282, 722, 6925, 22879, 510, 309, 970, 9185, 16, 374, 2397, 20562, 3775, 9996, 4767, 13859, 18, 967, 803, 22616, 3508, 16, 374, 22178, 1698, 20635, 1519, 749, 26337, 4075, 5129, 16, 1139, 334, 35197, 17329, 6431, 18, 5181, 16, 4136, 24853, 7434, 895, 23503, 35256, 16, 22616, 322, 9848, 16, 1830, 1717, 1177, 1247, 1623, 3818, 44784, 16, 5130, 282, 30989, 18, 365, 5329, 4440, 1205, 7846, 16, 374, 45198, 26726, 6535, 282, 6993, 19478, 46142, 9524, 334, 8823, 294, 25567, 18, 365, 11063, 8640, 16, 785, 45198, 26726, 16, 7206, 13076, 16, 374, 745, 322, 1698, 17624, 8341, 349, 502, 16, 374, 36134, 16, 6612, 467, 289, 17002, 697, 21722, 16, 4388, 925, 519, 5129, 16, 745, 18042, 1166, 16, 18584, 4364, 14697, 478, 563, 642, 861, 365, 4440, 1045, 294, 8217, 16, 41282, 281, 47010, 281, 17664, 26763, 16, 2458, 5511, 26200, 14314, 3140, 289, 36028, 18, 824, 3761, 478, 563, 642, 910, 281, 16838, 5049, 779, 334, 6398, 4479, 779, 639, 3665, 322, 2619, 30481, 8640, 6474, 15152, 432, 13951, 282, 4599, 12457, 36028, 473, 35464, 46746, 17302, 934, 282, 4440, 1045, 639, 322, 2619, 2511, 28, 2567, 8640, 18, 4756, 14697, 478, 563, 642, 470, 282, 1634, 12197, 5706, 2766, 6985, 16, 374, 281, 5021, 17, 361, 334, 4440, 17, 295, 3142, 19633, 3140, 12911, 445, 11091, 887, 294, 30020, 14667, 289, 34461, 8217, 349, 478, 13077, 37820, 468, 17664, 8323, 861, 36535, 37081, 411, 17, 431, 478, 4194, 9900, 21456, 4974, 910, 39926, 4486, 1248, 4772, 16, 1830, 5522, 3361, 5308, 289, 17302, 309, 2456, 2463, 294, 2184, 30298, 322, 6984, 16, 5130, 282, 30989, 16, 515, 2125, 9996, 1519, 478, 4194, 9900, 41275, 31676, 861, 640, 11204, 481, 21600, 38205, 282, 5941, 25840, 282, 5690, 6648, 289, 20182, 12589, 21766, 394, 18, 365, 5308, 282, 2159, 808, 639, 37708, 8634, 445, 42013, 315, 27767, 40797, 12846, 16, 515, 13254, 349, 6973, 3021, 3170, 4760, 47675, 12892, 2125, 2419, 16, 367, 309, 481, 16, 428, 5429, 16, 322, 7696, 537, 4135, 16, 537, 12094, 18, 15621, 2843, 1876, 9099, 21766, 394, 322, 15082, 751, 4521, 16, 367, 4135, 309, 697, 5007, 668, 26055, 329, 1129, 16, 8507, 16, 1003, 16, 18584, 4364, 16188, 29471, 18, 385, 2430, 553, 282, 8689, 6160, 2458, 4307, 390, 16, 15833, 14697, 18, 1178, 3255, 1743, 18127, 4688, 22377, 2973, 353, 289, 30020, 269, 758, 557, 2661, 16, 502, 1441, 2103, 5970, 36028, 387, 24436, 10566, 276, 334, 422, 18, 1939, 18, 6894, 49399, 2407, 349, 27315, 282, 9643, 25090, 20264, 17664, 21456, 4974, 18, 996, 16, 282, 13186, 4440, 779, 6571, 1551, 282, 29375, 13749, 9353, 416, 8840, 632, 356, 1809, 16037, 17302, 30628, 718, 15046, 7377, 8316, 888, 20828, 521, 301, 11118, 18, 1253, 906, 10566, 798, 294, 7682, 6546, 349, 502, 16, 374, 282, 4328, 476, 898, 27601, 8385, 6816, 415, 3975, 368, 401, 478, 41469, 460, 9351, 289, 20591, 18575, 844, 783, 470, 289, 11891, 478, 1659, 263, 928, 1162, 24390, 470, 411, 478, 40747, 26739, 12042, 470, 34610, 478, 35459, 287, 861, 365, 4440, 1045, 11116, 1293, 4958, 5418, 478, 21608, 4194, 9900, 21456, 15774, 910, 961, 16, 428, 6881, 14697, 478, 563, 642, 910, 1698, 31134, 1777, 506, 309, 1817, 1385, 5302, 2165, 18, 365, 4810, 16, 481, 2828, 4651, 282, 8231, 19048, 16, 1029, 36954, 5034, 668, 8341, 349, 17475, 17664, 16458, 3352, 282, 12462, 289, 24552, 30899, 16, 367, 1038, 7622, 19345, 4407, 2389, 13547, 309, 20995, 2127, 5998, 541, 1110, 16, 1085, 785, 17, 3697, 11091, 709, 670, 4434, 3382, 334, 478, 4194, 9900, 285, 1703, 470, 34582, 25295, 434, 19986, 18, 7200, 1568, 14782, 25780, 4676, 5628, 11828, 510, 4039, 22, 18, 23, 473, 40868, 3271, 17664, 16458, 3416, 934, 334, 1754, 6723, 10294, 840, 5564, 649, 519, 1286, 986, 17703, 8124, 18, 2949, 924, 16, 827, 8501, 840, 7622, 987, 16, 475, 22178, 1747, 371, 489, 17011, 294, 5792, 18, 478, 14102, 2670, 5367, 19048, 1271, 29930, 8249, 36972, 473, 30459, 334, 422, 18, 44447, 13, 24741, 282, 12462, 16, 43204, 11048, 1639, 1139, 21994, 324, 411, 17, 431, 25312, 17086, 19901, 910, 510, 45802, 16188, 29471, 18, 1397, 575, 5327, 478, 4354, 2857, 309, 41421, 910, 1029, 685, 25760, 3064, 5112, 48116, 9441, 13432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2089, 2580, 910, 6881, 14697, 478, 563, 642, 861, 15666, 22178, 9996, 8394, 1472, 411, 17, 431, 9261, 4974, 16, 1003, 265, 589, 2466, 541, 1967, 4148, 2516, 18, 478, 10269, 1116, 24419, 24719, 639, 10954, 3732, 282, 19262, 1212, 14305, 23198, 31614, 3003, 290, 46223, 30195, 289, 764, 4335, 48762, 11241, 34107, 687, 411, 17, 431, 9261, 4974, 16, 515, 2650, 639, 9650, 1569, 18, 9570, 322, 639, 9650, 1569, 289, 6750, 857, 282, 3941, 322, 2619, 27380, 647, 3003, 2236, 411, 13509, 2001, 25202, 820, 473, 1295, 562, 9395, 33596, 25456, 5129, 2001, 510, 478, 18386, 18, 8381, 9979, 290, 46223, 411, 17, 431, 4335, 36591, 1816, 4974, 48759, 282, 1175, 21501, 19784, 410, 27583, 18, 1572, 289, 48759, 16131, 718, 21086, 386, 532, 8179, 559, 18, 1572, 18, 478, 11008, 13402, 47930, 5349, 470, 14697, 15684, 2513, 2722, 13859, 23277, 296, 2347, 282, 19262, 2557, 18, 3739, 282, 5021, 1045, 24030, 19262, 820, 36044, 1248, 1551, 9996, 1519, 3772, 294, 47306, 17, 41287, 12831, 1703, 14205, 395, 16, 515, 1833, 1871, 41062, 32021, 6054, 22537, 309, 2580, 8448, 16427, 18, 30447, 31474, 34086, 1551, 19262, 820, 473, 22, 3750, 4479, 779, 934, 367, 349, 1498, 289, 901, 3643, 1551, 473, 6862, 4238, 4479, 779, 13, 7650, 2580, 45198, 8604, 18, 365, 37508, 5658, 16, 374, 329, 17981, 322, 30959, 10361, 432, 19961, 20612, 9996, 4767, 13859, 30, 32587, 906, 10080, 391, 983, 672, 16, 515, 322, 722, 22178, 16, 289, 537, 411, 5608, 5738, 322, 3014, 16, 374, 2361, 27651, 4753, 16, 29039, 14697, 478, 563, 642, 861, 2949, 924, 16, 2012, 296, 4929, 1133, 36749, 5930, 925, 16, 374, 45198, 868, 322, 10008, 5241, 979, 4974, 18, 2046, 281, 2184, 322, 7214, 27414, 1551, 473, 29340, 934, 988, 35097, 2959, 29581, 5656, 3003, 2012, 296, 4929, 933, 13509, 18, 22616, 24548, 1743, 309, 6584, 23512, 16, 387, 32886, 1533, 3598, 4440, 779, 15790, 16, 282, 2114, 41988, 1423, 10839, 18, 824, 4734, 22616, 16, 6495, 274, 2678, 12717, 294, 4092, 13360, 3352, 16, 45198, 868, 21067, 282, 722, 6925, 22879, 510, 309, 970, 9185, 16, 374, 2397, 20562, 3775, 9996, 4767, 13859, 18, 967, 803, 22616, 3508, 16, 374, 22178, 1698, 20635, 1519, 749, 26337, 4075, 5129, 16, 1139, 334, 35197, 17329, 6431, 18, 5181, 16, 4136, 24853, 7434, 895, 23503, 35256, 16, 22616, 322, 9848, 16, 1830, 1717, 1177, 1247, 1623, 3818, 44784, 16, 5130, 282, 30989, 18, 365, 5329, 4440, 1205, 7846, 16, 374, 45198, 26726, 6535, 282, 6993, 19478, 46142, 9524, 334, 8823, 294, 25567, 18, 365, 11063, 8640, 16, 785, 45198, 26726, 16, 7206, 13076, 16, 374, 745, 322, 1698, 17624, 8341, 349, 502, 16, 374, 36134, 16, 6612, 467, 289, 17002, 697, 21722, 16, 4388, 925, 519, 5129, 16, 745, 18042, 1166, 16, 18584, 4364, 14697, 478, 563, 642, 861, 365, 4440, 1045, 294, 8217, 16, 41282, 281, 47010, 281, 17664, 26763, 16, 2458, 5511, 26200, 14314, 3140, 289, 36028, 18, 824, 3761, 478, 563, 642, 910, 281, 16838, 5049, 779, 334, 6398, 4479, 779, 639, 3665, 322, 2619, 30481, 8640, 6474, 15152, 432, 13951, 282, 4599, 12457, 36028, 473, 35464, 46746, 17302, 934, 282, 4440, 1045, 639, 322, 2619, 2511, 28, 2567, 8640, 18, 4756, 14697, 478, 563, 642, 470, 282, 1634, 12197, 5706, 2766, 6985, 16, 374, 281, 5021, 17, 361, 334, 4440, 17, 295, 3142, 19633, 3140, 12911, 445, 11091, 887, 294, 30020, 14667, 289, 34461, 8217, 349, 478, 13077, 37820, 468, 17664, 8323, 861, 36535, 37081, 411, 17, 431, 478, 4194, 9900, 21456, 4974, 910, 39926, 4486, 1248, 4772, 16, 1830, 5522, 3361, 5308, 289, 17302, 309, 2456, 2463, 294, 2184, 30298, 322, 6984, 16, 5130, 282, 30989, 16, 515, 2125, 9996, 1519, 478, 4194, 9900, 41275, 31676, 861, 640, 11204, 481, 21600, 38205, 282, 5941, 25840, 282, 5690, 6648, 289, 20182, 12589, 21766, 394, 18, 365, 5308, 282, 2159, 808, 639, 37708, 8634, 445, 42013, 315, 27767, 40797, 12846, 16, 515, 13254, 349, 6973, 3021, 3170, 4760, 47675, 12892, 2125, 2419, 16, 367, 309, 481, 16, 428, 5429, 16, 322, 7696, 537, 4135, 16, 537, 12094, 18, 15621, 2843, 1876, 9099, 21766, 394, 322, 15082, 751, 4521, 16, 367, 4135, 309, 697, 5007, 668, 26055, 329, 1129, 16, 8507, 16, 1003, 16, 18584, 4364, 16188, 29471, 18, 385, 2430, 553, 282, 8689, 6160, 2458, 4307, 390, 16, 15833, 14697, 18, 1178, 3255, 1743, 18127, 4688, 22377, 2973, 353, 289, 30020, 269, 758, 557, 2661, 16, 502, 1441, 2103, 5970, 36028, 387, 24436, 10566, 276, 334, 422, 18, 1939, 18, 6894, 49399, 2407, 349, 27315, 282, 9643, 25090, 20264, 17664, 21456, 4974, 18, 996, 16, 282, 13186, 4440, 779, 6571, 1551, 282, 29375, 13749, 9353, 416, 8840, 632, 356, 1809, 16037, 17302, 30628, 718, 15046, 7377, 8316, 888, 20828, 521, 301, 11118, 18, 1253, 906, 10566, 798, 294, 7682, 6546, 349, 502, 16, 374, 282, 4328, 476, 898, 27601, 8385, 6816, 415, 3975, 368, 401, 478, 41469, 460, 9351, 289, 20591, 18575, 844, 783, 470, 289, 11891, 478, 1659, 263, 928, 1162, 24390, 470, 411, 478, 40747, 26739, 12042, 470, 34610, 478, 35459, 287, 861, 365, 4440, 1045, 11116, 1293, 4958, 5418, 478, 21608, 4194, 9900, 21456, 15774, 910, 961, 16, 428, 6881, 14697, 478, 563, 642, 910, 1698, 31134, 1777, 506, 309, 1817, 1385, 5302, 2165, 18, 365, 4810, 16, 481, 2828, 4651, 282, 8231, 19048, 16, 1029, 36954, 5034, 668, 8341, 349, 17475, 17664, 16458, 3352, 282, 12462, 289, 24552, 30899, 16, 367, 1038, 7622, 19345, 4407, 2389, 13547, 309, 20995, 2127, 5998, 541, 1110, 16, 1085, 785, 17, 3697, 11091, 709, 670, 4434, 3382, 334, 478, 4194, 9900, 285, 1703, 470, 34582, 25295, 434, 19986, 18, 7200, 1568, 14782, 25780, 4676, 5628, 11828, 510, 4039, 22, 18, 23, 473, 40868, 3271, 17664, 16458, 3416, 934, 334, 1754, 6723, 10294, 840, 5564, 649, 519, 1286, 986, 17703, 8124, 18, 2949, 924, 16, 827, 8501, 840, 7622, 987, 16, 475, 22178, 1747, 371, 489, 17011, 294, 5792, 18, 478, 14102, 2670, 5367, 19048, 1271, 29930, 8249, 36972, 473, 30459, 334, 422, 18, 44447, 13, 24741, 282, 12462, 16, 43204, 11048, 1639, 1139, 21994, 324, 411, 17, 431, 25312, 17086, 19901, 910, 510, 45802, 16188, 29471, 18, 1397, 575, 5327, 478, 4354, 2857, 309, 41421, 910, 1029, 685, 25760, 3064, 5112, 48116, 9441, 13432 ]
[ 1624, 502, 14697, 13056, 802, 16, 374, 492, 5689, 312, 2168, 2712, 478, 313, 14462, 6474, 15152, 434, 8886, 3806, 4194, 9900, 28651, 12670, 861, 3557, 322, 2619, 282, 6104, 1045, 12165, 7190, 2891, 4424, 349, 3142, 10785, 478, 21608, 4194, 9900, 28651, 470, 12670, 24661, 19338, 590, 607, 919, 282, 835, 5634, 1627, 4946, 11204, 16, 15833, 14697, 18, 996, 16, 8802, 4440, 779, 639, 7239, 20321, 5192, 1000, 15555, 5129, 4855, 2287, 478, 630, 29924, 11204, 334, 5034, 536, 9942, 290, 41939, 17664, 16458, 43598, 861, 34469, 14914, 5252, 16, 374, 41062, 14697, 322, 2125, 11558, 309, 1247, 16, 32727, 520, 282, 970, 670, 18464, 16152, 40608, 294, 17664, 16458, 3416, 16, 3387, 481, 9072, 1041, 4489, 10970, 483, 289, 13509, 18, 967, 803, 34651, 26438, 5064, 7257, 16, 6877, 891, 289, 21047, 512, 322, 895, 42034, 428, 34488, 19376, 289, 11062, 700, 16, 36366, 282, 5930, 2431, 18, 365, 478, 563, 7871, 470, 45802, 16, 374, 3806, 4194, 9900, 285, 1880, 24324, 7220, 31921, 2682, 30, 14697, 6881, 16, 374, 1513, 35281, 4092, 4138, 1248, 1551, 478, 4194, 9900, 30809, 470, 35789, 6034, 16, 26581, 49983, 11506, 24492, 282, 478, 4194, 9900, 21456, 470, 14469, 289, 2141, 9550, 312, 41160, 12703, 478, 4194, 9900, 30809, 470, 5628, 18, 740, 7441, 1055, 322, 20015, 309, 4116, 1142, 4793, 12182, 16, 4266, 14697, 18, 824, 697, 4734, 16, 481, 282, 6940, 445, 3238, 280, 1323, 16, 785, 20664, 4830, 4881, 2210, 4871, 17773, 3806, 4194, 9900, 28651, 12670, 16, 1474, 4651, 282, 4440, 1045, 4770, 1703, 32571, 334, 10268, 18868, 5054, 289, 22591, 1631, 1624, 4864, 3457, 282, 478, 563, 7871, 861, 2, 1, 87, 1456, 81, 2448, 30, 24461, 17, 3002, 12018, 16, 10193, 309, 1992, 2309, 6070, 24471, 20128, 7777, 411, 1354, 282, 7353, 31932, 986, 18, 365, 8151, 4120, 510, 7504, 445, 349, 13591, 510, 492, 685, 24214, 1390, 289, 2349, 2365, 282, 33027, 1066, 18, 31224, 30, 822, 1083, 8290, 6584, 5472, 289, 505, 13607, 40006, 16, 24471, 20128, 22401, 11218, 21680, 18249, 30, 478, 1358, 7235, 1549, 15704, 322, 541, 10076, 1512, 16, 367, 541, 6198, 1728, 40435, 18, 6126, 2669, 34728, 30, 478, 4182, 387, 497, 927, 16, 1696, 4443, 1512, 411, 5984, 6617, 13398, 5433, 439, 417, 309, 481, 5755, 30, 478, 563, 356, 329, 703, 16960, 18, 6351, 4702, 33232, 6569, 16, 961, 18530, 2625, 2793, 861, 13758, 336, 427, 17, 2499, 2676, 1347, 16, 1650, 2822, 20556, 15704, 16, 2697, 10900, 324, 18, 889, 5517, 9766, 16, 11748, 836, 426, 31092, 16764, 475, 23014, 700, 18, 11566, 373, 16, 329, 2008, 18190, 28917, 16, 1244, 30246, 282, 2008, 10862, 6001, 1042, 282, 2969, 6189, 680, 3298, 1484, 16, 988, 519, 30882, 34529, 7020, 5259, 8482, 16, 322, 639, 537, 13523, 39440, 18126, 309, 6335, 4713, 18, 3739, 282, 12100, 492, 16, 529, 25882, 883, 6511, 411, 1281, 16, 21797, 39435, 16, 3895, 322, 6075, 275, 13852, 1634, 5544, 8619, 413, 6379, 14200, 289, 32179, 18, 40248, 4574, 1133, 396, 4030, 1382, 1147, 24471, 20128, 272, 13852, 14241, 510, 329, 1047, 10660, 19846, 29587, 277, 1086, 1694, 18, 439, 309, 603, 1427, 11686, 281, 3506, 1082, 322, 49203, 4612, 18, 1937, 46008, 639, 2287, 986, 16, 505, 6956, 906, 39831, 8916, 19219, 289, 2055, 9596, 309, 5211, 16, 282, 46208, 5990, 2127, 6391, 16, 510, 3433, 1322, 343, 282, 31094, 3757, 26756, 10700, 1161, 541, 1110, 529, 418, 1378, 986, 18, 478, 3096, 13192, 2257, 2644, 910, 510, 24763, 364, 24471, 20128, 26085, 2496, 28605, 16, 2067, 669, 3302, 45689, 3032, 289, 571, 2025, 353, 18, 740, 475, 26895, 3301, 2919, 16, 785, 6070, 23777, 294, 2200, 3506, 1876, 30, 492, 37481, 42701, 16604, 18, 5890, 971, 16, 3429, 20518, 4480, 2610, 16, 492, 4539, 16, 2006, 505, 34767, 7389, 305, 322, 5931, 16, 289, 40209, 16, 374, 541, 9792, 975, 322, 11576, 4335, 29247, 432, 424, 37674, 1051, 18, 740, 2567, 282, 28606, 1212, 4555, 763, 20041, 14764, 639, 322, 3089, 18, 41021, 266, 4990, 4004, 12842, 2418, 17, 11884, 44772, 836, 14817, 282, 1294, 578, 2325, 451, 3971, 360, 697, 13854, 519, 14284, 5520, 16, 367, 971, 510, 5259, 8482, 360, 7020, 519, 12945, 6001, 6651, 16, 988, 5440, 13321, 18, 740, 1122, 492, 475, 764, 685, 20041, 15296, 16, 8916, 42116, 28990, 18, 3863, 3971, 492, 11906, 764, 10490, 16, 25076, 6273, 294, 17683, 16, 367, 971, 510, 3424, 282, 6001, 957, 18, 1367, 4872, 275, 1617, 32239, 16, 24471, 20128, 3837, 3971, 309, 13602, 30, 3604, 16364, 18, 1787, 978, 26014, 29659, 36714, 424, 40294, 16267, 24722, 354, 289, 2048, 8501, 16, 3219, 30547, 4590, 1616, 25099, 18, 7909, 11979, 709, 309, 34375, 263, 1642, 309, 12623, 2662, 360, 18673, 16, 25529, 2728, 24204, 1923, 18, 478, 42945, 307, 8154, 712, 16, 8241, 4271, 510, 20496, 24471, 20128, 18, 9432, 7387, 282, 422, 44190, 1027, 33511, 18, 740, 975, 3225, 2048, 1715, 9634, 539, 541, 2008, 18190, 38608, 324, 510, 6125, 30388, 13207, 571, 12018, 2087, 289, 2512, 3604, 334, 1335, 22952, 16364, 18, 889, 685, 16903, 309, 10866, 510, 282, 1244, 539, 11776, 18, 740, 16, 428, 5121, 16, 9457, 322, 37583, 16, 753, 24471, 20128, 12769, 282, 6001, 1919, 18, 9967, 13536, 31764, 334, 38601, 282, 18352, 763, 1933, 272, 3141, 486, 18, 817, 475, 38296, 300, 16, 1830, 22204, 639, 15878, 6279, 30, 5472, 975, 4263, 18608, 334, 6246, 9129, 310, 954, 16, 281, 3279, 745, 1974, 6884, 309, 10866, 18, 6070, 7649, 271, 16, 2054, 3729, 289, 1858, 37481, 1595, 33461, 18, 478, 3001, 784, 15104, 12644, 17, 429, 27687, 910, 510, 20496, 24471, 20128, 282, 1360, 8372, 478, 3693, 43007, 4480, 1347, 17, 2830, 355, 837, 861, 740, 411, 17, 431, 6617, 975, 3711, 1858, 836, 14817, 282, 27900, 30, 10030, 282, 27028, 12825, 281, 21635, 4019, 32839, 639, 35071, 18, 459, 3226, 510, 5270, 13289, 8482, 16, 1441, 726, 282, 11047, 879, 12504, 334, 2969, 6189, 680, 3304, 4422, 28089, 18, 450, 14221, 519, 7020, 16, 24471, 20128, 10576, 309, 17943, 16, 282, 6765, 3675, 439, 10300, 16, 3429, 2848, 541, 1047, 16865, 15274, 18, 13925, 492, 5502, 445, 6075, 266, 1177, 3971, 651, 40452, 726, 1248, 7522, 282, 41492, 17, 618, 552, 16, 36227, 645, 289, 22273, 1310, 280, 16, 13458, 1063, 289, 16836, 6946, 2159, 5472, 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 ]
[ 1624, 502, 14697, 13056, 802, 16, 374, 492, 5689, 312, 2168, 2712, 478, 313, 14462, 6474, 15152, 434, 8886, 3806, 4194, 9900, 28651, 12670, 861, 3557, 322, 2619, 282, 6104, 1045, 12165, 7190, 2891, 4424, 349, 3142, 10785, 478, 21608, 4194, 9900, 28651, 470, 12670, 24661, 19338, 590, 607, 919, 282, 835, 5634, 1627, 4946, 11204, 16, 15833, 14697, 18, 996, 16, 8802, 4440, 779, 639, 7239, 20321, 5192, 1000, 15555, 5129, 4855, 2287, 478, 630, 29924, 11204, 334, 5034, 536, 9942, 290, 41939, 17664, 16458, 43598, 861, 34469, 14914, 5252, 16, 374, 41062, 14697, 322, 2125, 11558, 309, 1247, 16, 32727, 520, 282, 970, 670, 18464, 16152, 40608, 294, 17664, 16458, 3416, 16, 3387, 481, 9072, 1041, 4489, 10970, 483, 289, 13509, 18, 967, 803, 34651, 26438, 5064, 7257, 16, 6877, 891, 289, 21047, 512, 322, 895, 42034, 428, 34488, 19376, 289, 11062, 700, 16, 36366, 282, 5930, 2431, 18, 365, 478, 563, 7871, 470, 45802, 16, 374, 3806, 4194, 9900, 285, 1880, 24324, 7220, 31921, 2682, 30, 14697, 6881, 16, 374, 1513, 35281, 4092, 4138, 1248, 1551, 478, 4194, 9900, 30809, 470, 35789, 6034, 16, 26581, 49983, 11506, 24492, 282, 478, 4194, 9900, 21456, 470, 14469, 289, 2141, 9550, 312, 41160, 12703, 478, 4194, 9900, 30809, 470, 5628, 18, 740, 7441, 1055, 322, 20015, 309, 4116, 1142, 4793, 12182, 16, 4266, 14697, 18, 824, 697, 4734, 16, 481, 282, 6940, 445, 3238, 280, 1323, 16, 785, 20664, 4830, 4881, 2210, 4871, 17773, 3806, 4194, 9900, 28651, 12670, 16, 1474, 4651, 282, 4440, 1045, 4770, 1703, 32571, 334, 10268, 18868, 5054, 289, 22591, 1631, 1624, 4864, 3457, 282, 478, 563, 7871, 861, 2, 1, 87, 1456, 81, 2448, 30, 24461, 17, 3002, 12018, 16, 10193, 309, 1992, 2309, 6070, 24471, 20128, 7777, 411, 1354, 282, 7353, 31932, 986, 18, 365, 8151, 4120, 510, 7504, 445, 349, 13591, 510, 492, 685, 24214, 1390, 289, 2349, 2365, 282, 33027, 1066, 18, 31224, 30, 822, 1083, 8290, 6584, 5472, 289, 505, 13607, 40006, 16, 24471, 20128, 22401, 11218, 21680, 18249, 30, 478, 1358, 7235, 1549, 15704, 322, 541, 10076, 1512, 16, 367, 541, 6198, 1728, 40435, 18, 6126, 2669, 34728, 30, 478, 4182, 387, 497, 927, 16, 1696, 4443, 1512, 411, 5984, 6617, 13398, 5433, 439, 417, 309, 481, 5755, 30, 478, 563, 356, 329, 703, 16960, 18, 6351, 4702, 33232, 6569, 16, 961, 18530, 2625, 2793, 861, 13758, 336, 427, 17, 2499, 2676, 1347, 16, 1650, 2822, 20556, 15704, 16, 2697, 10900, 324, 18, 889, 5517, 9766, 16, 11748, 836, 426, 31092, 16764, 475, 23014, 700, 18, 11566, 373, 16, 329, 2008, 18190, 28917, 16, 1244, 30246, 282, 2008, 10862, 6001, 1042, 282, 2969, 6189, 680, 3298, 1484, 16, 988, 519, 30882, 34529, 7020, 5259, 8482, 16, 322, 639, 537, 13523, 39440, 18126, 309, 6335, 4713, 18, 3739, 282, 12100, 492, 16, 529, 25882, 883, 6511, 411, 1281, 16, 21797, 39435, 16, 3895, 322, 6075, 275, 13852, 1634, 5544, 8619, 413, 6379, 14200, 289, 32179, 18, 40248, 4574, 1133, 396, 4030, 1382, 1147, 24471, 20128, 272, 13852, 14241, 510, 329, 1047, 10660, 19846, 29587, 277, 1086, 1694, 18, 439, 309, 603, 1427, 11686, 281, 3506, 1082, 322, 49203, 4612, 18, 1937, 46008, 639, 2287, 986, 16, 505, 6956, 906, 39831, 8916, 19219, 289, 2055, 9596, 309, 5211, 16, 282, 46208, 5990, 2127, 6391, 16, 510, 3433, 1322, 343, 282, 31094, 3757, 26756, 10700, 1161, 541, 1110, 529, 418, 1378, 986, 18, 478, 3096, 13192, 2257, 2644, 910, 510, 24763, 364, 24471, 20128, 26085, 2496, 28605, 16, 2067, 669, 3302, 45689, 3032, 289, 571, 2025, 353, 18, 740, 475, 26895, 3301, 2919, 16, 785, 6070, 23777, 294, 2200, 3506, 1876, 30, 492, 37481, 42701, 16604, 18, 5890, 971, 16, 3429, 20518, 4480, 2610, 16, 492, 4539, 16, 2006, 505, 34767, 7389, 305, 322, 5931, 16, 289, 40209, 16, 374, 541, 9792, 975, 322, 11576, 4335, 29247, 432, 424, 37674, 1051, 18, 740, 2567, 282, 28606, 1212, 4555, 763, 20041, 14764, 639, 322, 3089, 18, 41021, 266, 4990, 4004, 12842, 2418, 17, 11884, 44772, 836, 14817, 282, 1294, 578, 2325, 451, 3971, 360, 697, 13854, 519, 14284, 5520, 16, 367, 971, 510, 5259, 8482, 360, 7020, 519, 12945, 6001, 6651, 16, 988, 5440, 13321, 18, 740, 1122, 492, 475, 764, 685, 20041, 15296, 16, 8916, 42116, 28990, 18, 3863, 3971, 492, 11906, 764, 10490, 16, 25076, 6273, 294, 17683, 16, 367, 971, 510, 3424, 282, 6001, 957, 18, 1367, 4872, 275, 1617, 32239, 16, 24471, 20128, 3837, 3971, 309, 13602, 30, 3604, 16364, 18, 1787, 978, 26014, 29659, 36714, 424, 40294, 16267, 24722, 354, 289, 2048, 8501, 16, 3219, 30547, 4590, 1616, 25099, 18, 7909, 11979, 709, 309, 34375, 263, 1642, 309, 12623, 2662, 360, 18673, 16, 25529, 2728, 24204, 1923, 18, 478, 42945, 307, 8154, 712, 16, 8241, 4271, 510, 20496, 24471, 20128, 18, 9432, 7387, 282, 422, 44190, 1027, 33511, 18, 740, 975, 3225, 2048, 1715, 9634, 539, 541, 2008, 18190, 38608, 324, 510, 6125, 30388, 13207, 571, 12018, 2087, 289, 2512, 3604, 334, 1335, 22952, 16364, 18, 889, 685, 16903, 309, 10866, 510, 282, 1244, 539, 11776, 18, 740, 16, 428, 5121, 16, 9457, 322, 37583, 16, 753, 24471, 20128, 12769, 282, 6001, 1919, 18, 9967, 13536, 31764, 334, 38601, 282, 18352, 763, 1933, 272, 3141, 486, 18, 817, 475, 38296, 300, 16, 1830, 22204, 639, 15878, 6279, 30, 5472, 975, 4263, 18608, 334, 6246, 9129, 310, 954, 16, 281, 3279, 745, 1974, 6884, 309, 10866, 18, 6070, 7649, 271, 16, 2054, 3729, 289, 1858, 37481, 1595, 33461, 18, 478, 3001, 784, 15104, 12644, 17, 429, 27687, 910, 510, 20496, 24471, 20128, 282, 1360, 8372, 478, 3693, 43007, 4480, 1347, 17, 2830, 355, 837, 861, 740, 411, 17, 431, 6617, 975, 3711, 1858, 836, 14817, 282, 27900, 30, 10030, 282, 27028, 12825, 281, 21635, 4019, 32839, 639, 35071, 18, 459, 3226, 510, 5270, 13289, 8482, 16, 1441, 726, 282, 11047, 879, 12504, 334, 2969, 6189, 680, 3304, 4422, 28089, 18, 450, 14221, 519, 7020, 16, 24471, 20128, 10576, 309, 17943, 16, 282, 6765, 3675, 439, 10300, 16, 3429, 2848, 541, 1047, 16865, 15274, 18, 13925, 492, 5502, 445, 6075, 266, 1177, 3971, 651, 40452, 726, 1248, 7522, 282, 41492, 17, 618, 552, 16, 36227, 645, 289, 22273, 1310, 280, 16, 13458, 1063, 289, 16836, 6946, 2159, 5472, 18 ]
[ 365, 21637, 41492, 17, 618, 464, 4426, 6598, 33336, 289, 4648, 825, 850, 436, 8546, 492, 31015, 6646, 9364, 282, 12666, 1049, 306, 35440, 46317, 16, 15739, 282, 36069, 303, 16, 367, 2512, 510, 44251, 1743, 541, 9798, 8916, 343, 510, 1559, 32117, 38750, 2268, 29919, 1148, 5154, 582, 419, 315, 17, 42938, 680, 14284, 5520, 18, 365, 36069, 707, 11614, 10734, 1536, 10431, 289, 5658, 478, 31713, 4844, 319, 861, 23104, 2771, 40079, 16, 6070, 49119, 424, 18761, 1272, 26196, 432, 3098, 379, 669, 510, 15728, 16, 3903, 16, 50186, 1188, 23691, 8429, 18, 889, 971, 726, 639, 475, 502, 16, 374, 10211, 13241, 862, 282, 28577, 34046, 30, 10169, 16, 7015, 40380, 34093, 17, 610, 305, 4173, 1810, 3165, 10043, 15004, 16, 4765, 281, 5476, 5325, 14915, 12248, 289, 40470, 510, 7258, 18, 439, 2512, 6888, 16, 41622, 16, 34057, 289, 17634, 22298, 290, 5941, 6143, 23957, 17, 864, 1080, 871, 18, 22928, 2357, 282, 22770, 778, 2743, 282, 13638, 16, 1421, 5196, 1810, 1195, 5216, 17248, 620, 1974, 281, 46530, 35440, 46317, 16, 11923, 282, 41492, 17, 618, 464, 289, 26147, 4426, 23052, 411, 2268, 29919, 1148, 14284, 5520, 18, 14373, 18210, 428, 4480, 1347, 17, 2830, 355, 837, 18, 14587, 1272, 24774, 5823, 322, 3525, 1561, 6150, 16, 6996, 7863, 23315, 281, 40308, 4220, 4480, 8943, 30, 15136, 2509, 16, 4342, 297, 1079, 298, 3259, 16, 457, 1214, 298, 3259, 16, 38596, 2509, 16, 1034, 513, 607, 536, 18, 23110, 539, 5069, 16657, 24065, 24471, 20128, 272, 6125, 34767, 15704, 18, 9639, 16, 290, 2114, 4342, 297, 1079, 1740, 1109, 30, 478, 8871, 29015, 28588, 39167, 5069, 968, 3338, 289, 4703, 11840, 968, 18, 889, 4750, 289, 25267, 2830, 3250, 21019, 861, 9639, 16, 281, 3279, 16, 428, 2202, 2195, 935, 478, 370, 1577, 470, 13198, 34966, 421, 3902, 1614, 2266, 375, 39682, 320, 16, 492, 2963, 373, 18915, 567, 34340, 482, 18, 999, 344, 3464, 448, 24737, 6617, 44588, 4897, 8120, 9792, 16, 515, 39077, 1655, 1248, 478, 41307, 451, 45711, 470, 639, 4385, 18, 5043, 16, 20285, 1655, 2504, 322, 2946, 16, 3235, 2887, 24471, 40337, 30, 5127, 552, 11563, 5561, 19631, 741, 2514, 15004, 16, 1269, 1071, 2232, 6884, 7615, 343, 13241, 355, 309, 34375, 263, 289, 445, 23091, 451, 1933, 272, 19579, 18, 478, 13571, 8421, 282, 1405, 282, 10798, 1045, 3212, 4556, 478, 4925, 30269, 27134, 519, 15588, 933, 7889, 470, 417, 7012, 2002, 322, 10799, 5901, 2759, 5169, 16, 5901, 722, 2673, 16011, 31791, 910, 510, 6443, 24471, 20128, 18, 3647, 6956, 4480, 1347, 322, 5382, 505, 20362, 16, 581, 289, 322, 475, 17729, 898, 5698, 548, 519, 3915, 18, 740, 29659, 17, 2830, 355, 742, 16, 8851, 20041, 6792, 16, 1494, 4954, 5932, 290, 1360, 9235, 1161, 289, 46540, 5032, 294, 47505, 18, 817, 764, 322, 445, 14828, 282, 40634, 6001, 957, 16, 988, 505, 1747, 33356, 428, 14439, 18, 1367, 307, 921, 1595, 16911, 289, 15116, 13796, 1051, 289, 44470, 18, 478, 29579, 282, 1175, 1800, 12530, 6863, 411, 25934, 354, 1634, 40961, 16, 1634, 37235, 291, 16, 510, 6443, 24471, 20128, 16, 497, 36854, 17911, 17, 7745, 22964, 18, 510, 1397, 773, 6721, 282, 803, 35, 5454, 16, 14382, 18, 14382, 282, 502, 13529, 16, 374, 11487, 10313, 2746, 7704, 4156, 18, 2465, 939, 5425, 3660, 23393, 309, 13609, 808, 541, 2759, 2553, 861, 1533, 4120, 24471, 20128, 272, 22716, 31932, 779, 18, 7758, 1248, 5284, 492, 7757, 282, 33027, 1066, 510, 685, 24214, 1390, 282, 36753, 778, 31642, 15834, 5482, 282, 42583, 2557, 473, 1140, 280, 10812, 1232, 814, 478, 28526, 878, 16, 1119, 6067, 856, 709, 18, 11966, 16, 475, 3066, 15896, 4010, 17, 299, 18, 6490, 19013, 16, 309, 12289, 8392, 505, 910, 510, 3153, 1655, 5104, 24471, 40337, 7947, 18, 478, 4348, 5138, 406, 411, 924, 16, 374, 475, 17, 2767, 10896, 16, 10579, 1631, 16, 2391, 492, 282, 33027, 15459, 23567, 3164, 910, 510, 10824, 8099, 14190, 39627, 2376, 4137, 18511, 1388, 18, 740, 475, 5121, 2319, 15133, 283, 845, 18, 365, 10666, 16, 3703, 3972, 16, 24471, 20128, 16342, 282, 970, 575, 31642, 262, 31508, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 34980, 549, 4786, 602, 24, 27268, 19749, 11403, 29272, 334, 13486, 478, 24775, 718, 9743, 938, 274, 861, 2333, 513, 1433, 322, 4369, 5740, 519, 4281, 16, 8693, 275, 381, 803, 726, 1011, 697, 2742, 18, 478, 19059, 331, 2021, 470, 685, 1103, 363, 3703, 3972, 30, 1715, 282, 816, 4570, 25158, 19911, 516, 12778, 42110, 16, 14591, 13135, 14081, 21284, 16, 43761, 477, 4212, 33415, 25734, 20790, 277, 5044, 18, 31224, 30, 7148, 16868, 20627, 5942, 10091, 46008, 439, 919, 1999, 272, 4786, 602, 24, 895, 19749, 11403, 16790, 478, 24775, 718, 9743, 938, 274, 910, 3828, 478, 46088, 18, 8381, 470, 5854, 602, 24, 10618, 5452, 3979, 18, 8444, 4434, 2582, 2726, 1347, 4281, 8308, 5234, 662, 282, 37003, 14090, 5410, 868, 668, 6325, 1066, 289, 36239, 12223, 37003, 282, 4369, 2557, 294, 34400, 282, 29272, 263, 18, 8444, 13536, 439, 919, 288, 401, 27458, 17802, 309, 3455, 18, 478, 5786, 911, 2636, 5210, 5743, 42110, 16, 18675, 1545, 5854, 602, 24, 12985, 282, 8185, 8308, 5234, 624, 541, 7358, 3352, 290, 970, 16, 21440, 798, 4786, 519, 8465, 282, 29272, 263, 670, 1003, 16, 2686, 8308, 5234, 662, 3226, 3038, 576, 282, 29860, 7253, 3352, 16, 374, 8297, 1569, 25392, 18432, 18, 459, 687, 5413, 282, 1119, 5743, 42110, 282, 20352, 8308, 5234, 624, 639, 1629, 1569, 16, 374, 602, 24, 322, 21440, 798, 294, 34400, 282, 29272, 263, 910, 510, 8977, 3785, 16, 3116, 7892, 16, 374, 478, 7223, 29272, 334, 13486, 3417, 9, 11400, 9670, 478, 46255, 921, 331, 2021, 470, 12543, 282, 15864, 18, 3114, 16, 311, 18, 352, 18, 309, 1760, 1879, 3255, 16, 828, 602, 24, 639, 1629, 1569, 381, 37003, 282, 4369, 2557, 294, 34400, 282, 29272, 263, 861, 10618, 5452, 3979, 2548, 16, 374, 602, 24, 16768, 8140, 282, 22636, 292, 478, 24775, 718, 9743, 938, 274, 470, 282, 4301, 7446, 16523, 334, 36840, 1538, 6087, 9302, 434, 41841, 18, 817, 9473, 13202, 1519, 6127, 7576, 6134, 1103, 5540, 5754, 18, 365, 8308, 5234, 1207, 478, 46088, 18, 8381, 470, 7299, 16, 374, 1404, 3192, 266, 33645, 602, 24, 478, 275, 36508, 4666, 861, 8308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 365, 21637, 41492, 17, 618, 464, 4426, 6598, 33336, 289, 4648, 825, 850, 436, 8546, 492, 31015, 6646, 9364, 282, 12666, 1049, 306, 35440, 46317, 16, 15739, 282, 36069, 303, 16, 367, 2512, 510, 44251, 1743, 541, 9798, 8916, 343, 510, 1559, 32117, 38750, 2268, 29919, 1148, 5154, 582, 419, 315, 17, 42938, 680, 14284, 5520, 18, 365, 36069, 707, 11614, 10734, 1536, 10431, 289, 5658, 478, 31713, 4844, 319, 861, 23104, 2771, 40079, 16, 6070, 49119, 424, 18761, 1272, 26196, 432, 3098, 379, 669, 510, 15728, 16, 3903, 16, 50186, 1188, 23691, 8429, 18, 889, 971, 726, 639, 475, 502, 16, 374, 10211, 13241, 862, 282, 28577, 34046, 30, 10169, 16, 7015, 40380, 34093, 17, 610, 305, 4173, 1810, 3165, 10043, 15004, 16, 4765, 281, 5476, 5325, 14915, 12248, 289, 40470, 510, 7258, 18, 439, 2512, 6888, 16, 41622, 16, 34057, 289, 17634, 22298, 290, 5941, 6143, 23957, 17, 864, 1080, 871, 18, 22928, 2357, 282, 22770, 778, 2743, 282, 13638, 16, 1421, 5196, 1810, 1195, 5216, 17248, 620, 1974, 281, 46530, 35440, 46317, 16, 11923, 282, 41492, 17, 618, 464, 289, 26147, 4426, 23052, 411, 2268, 29919, 1148, 14284, 5520, 18, 14373, 18210, 428, 4480, 1347, 17, 2830, 355, 837, 18, 14587, 1272, 24774, 5823, 322, 3525, 1561, 6150, 16, 6996, 7863, 23315, 281, 40308, 4220, 4480, 8943, 30, 15136, 2509, 16, 4342, 297, 1079, 298, 3259, 16, 457, 1214, 298, 3259, 16, 38596, 2509, 16, 1034, 513, 607, 536, 18, 23110, 539, 5069, 16657, 24065, 24471, 20128, 272, 6125, 34767, 15704, 18, 9639, 16, 290, 2114, 4342, 297, 1079, 1740, 1109, 30, 478, 8871, 29015, 28588, 39167, 5069, 968, 3338, 289, 4703, 11840, 968, 18, 889, 4750, 289, 25267, 2830, 3250, 21019, 861, 9639, 16, 281, 3279, 16, 428, 2202, 2195, 935, 478, 370, 1577, 470, 13198, 34966, 421, 3902, 1614, 2266, 375, 39682, 320, 16, 492, 2963, 373, 18915, 567, 34340, 482, 18, 999, 344, 3464, 448, 24737, 6617, 44588, 4897, 8120, 9792, 16, 515, 39077, 1655, 1248, 478, 41307, 451, 45711, 470, 639, 4385, 18, 5043, 16, 20285, 1655, 2504, 322, 2946, 16, 3235, 2887, 24471, 40337, 30, 5127, 552, 11563, 5561, 19631, 741, 2514, 15004, 16, 1269, 1071, 2232, 6884, 7615, 343, 13241, 355, 309, 34375, 263, 289, 445, 23091, 451, 1933, 272, 19579, 18, 478, 13571, 8421, 282, 1405, 282, 10798, 1045, 3212, 4556, 478, 4925, 30269, 27134, 519, 15588, 933, 7889, 470, 417, 7012, 2002, 322, 10799, 5901, 2759, 5169, 16, 5901, 722, 2673, 16011, 31791, 910, 510, 6443, 24471, 20128, 18, 3647, 6956, 4480, 1347, 322, 5382, 505, 20362, 16, 581, 289, 322, 475, 17729, 898, 5698, 548, 519, 3915, 18, 740, 29659, 17, 2830, 355, 742, 16, 8851, 20041, 6792, 16, 1494, 4954, 5932, 290, 1360, 9235, 1161, 289, 46540, 5032, 294, 47505, 18, 817, 764, 322, 445, 14828, 282, 40634, 6001, 957, 16, 988, 505, 1747, 33356, 428, 14439, 18, 1367, 307, 921, 1595, 16911, 289, 15116, 13796, 1051, 289, 44470, 18, 478, 29579, 282, 1175, 1800, 12530, 6863, 411, 25934, 354, 1634, 40961, 16, 1634, 37235, 291, 16, 510, 6443, 24471, 20128, 16, 497, 36854, 17911, 17, 7745, 22964, 18, 510, 1397, 773, 6721, 282, 803, 35, 5454, 16, 14382, 18, 14382, 282, 502, 13529, 16, 374, 11487, 10313, 2746, 7704, 4156, 18, 2465, 939, 5425, 3660, 23393, 309, 13609, 808, 541, 2759, 2553, 861, 1533, 4120, 24471, 20128, 272, 22716, 31932, 779, 18, 7758, 1248, 5284, 492, 7757, 282, 33027, 1066, 510, 685, 24214, 1390, 282, 36753, 778, 31642, 15834, 5482, 282, 42583, 2557, 473, 1140, 280, 10812, 1232, 814, 478, 28526, 878, 16, 1119, 6067, 856, 709, 18, 11966, 16, 475, 3066, 15896, 4010, 17, 299, 18, 6490, 19013, 16, 309, 12289, 8392, 505, 910, 510, 3153, 1655, 5104, 24471, 40337, 7947, 18, 478, 4348, 5138, 406, 411, 924, 16, 374, 475, 17, 2767, 10896, 16, 10579, 1631, 16, 2391, 492, 282, 33027, 15459, 23567, 3164, 910, 510, 10824, 8099, 14190, 39627, 2376, 4137, 18511, 1388, 18, 740, 475, 5121, 2319, 15133, 283, 845, 18, 365, 10666, 16, 3703, 3972, 16, 24471, 20128, 16342, 282, 970, 575, 31642, 262, 31508, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 34980, 549, 4786, 602, 24, 27268, 19749, 11403, 29272, 334, 13486, 478, 24775, 718, 9743, 938, 274, 861, 2333, 513, 1433, 322, 4369, 5740, 519, 4281, 16, 8693, 275, 381, 803, 726, 1011, 697, 2742, 18, 478, 19059, 331, 2021, 470, 685, 1103, 363, 3703, 3972, 30, 1715, 282, 816, 4570, 25158, 19911, 516, 12778, 42110, 16, 14591, 13135, 14081, 21284, 16, 43761, 477, 4212, 33415, 25734, 20790, 277, 5044, 18, 31224, 30, 7148, 16868, 20627, 5942, 10091, 46008, 439, 919, 1999, 272, 4786, 602, 24, 895, 19749, 11403, 16790, 478, 24775, 718, 9743, 938, 274, 910, 3828, 478, 46088, 18, 8381, 470, 5854, 602, 24, 10618, 5452, 3979, 18, 8444, 4434, 2582, 2726, 1347, 4281, 8308, 5234, 662, 282, 37003, 14090, 5410, 868, 668, 6325, 1066, 289, 36239, 12223, 37003, 282, 4369, 2557, 294, 34400, 282, 29272, 263, 18, 8444, 13536, 439, 919, 288, 401, 27458, 17802, 309, 3455, 18, 478, 5786, 911, 2636, 5210, 5743, 42110, 16, 18675, 1545, 5854, 602, 24, 12985, 282, 8185, 8308, 5234, 624, 541, 7358, 3352, 290, 970, 16, 21440, 798, 4786, 519, 8465, 282, 29272, 263, 670, 1003, 16, 2686, 8308, 5234, 662, 3226, 3038, 576, 282, 29860, 7253, 3352, 16, 374, 8297, 1569, 25392, 18432, 18, 459, 687, 5413, 282, 1119, 5743, 42110, 282, 20352, 8308, 5234, 624, 639, 1629, 1569, 16, 374, 602, 24, 322, 21440, 798, 294, 34400, 282, 29272, 263, 910, 510, 8977, 3785, 16, 3116, 7892, 16, 374, 478, 7223, 29272, 334, 13486, 3417, 9, 11400, 9670, 478, 46255, 921, 331, 2021, 470, 12543, 282, 15864, 18, 3114, 16, 311, 18, 352, 18, 309, 1760, 1879, 3255, 16, 828, 602, 24, 639, 1629, 1569, 381, 37003, 282, 4369, 2557, 294, 34400, 282, 29272, 263, 861, 10618, 5452, 3979, 2548, 16, 374, 602, 24, 16768, 8140, 282, 22636, 292, 478, 24775, 718, 9743, 938, 274, 470, 282, 4301, 7446, 16523, 334, 36840, 1538, 6087, 9302, 434, 41841, 18, 817, 9473, 13202, 1519, 6127, 7576, 6134, 1103, 5540, 5754, 18, 365, 8308, 5234, 1207, 478, 46088, 18, 8381, 470, 7299, 16, 374, 1404, 3192, 266, 33645, 602, 24, 478, 275, 36508, 4666, 861, 8308 ]
[ 5234, 662, 1103, 576, 478, 24775, 778, 9743, 2021, 470, 7760, 3703, 3972, 18, 15293, 8984, 7341, 1066, 16, 42390, 16175, 309, 33747, 23626, 16, 34124, 857, 7024, 478, 28180, 2021, 861, 33320, 2873, 46469, 349, 2695, 1409, 16, 10207, 5096, 2791, 18, 365, 4542, 42110, 639, 11742, 4016, 28, 10945, 334, 1939, 3763, 2791, 477, 2411, 8317, 5995, 282, 491, 16, 1618, 5096, 2791, 18, 365, 1677, 5868, 20146, 2846, 25727, 2241, 510, 7024, 478, 563, 6408, 5497, 2021, 910, 7024, 478, 1605, 275, 331, 2021, 910, 19007, 478, 1182, 375, 35368, 470, 289, 7024, 478, 28180, 2021, 861, 17271, 4101, 2241, 20146, 282, 1677, 5868, 3989, 7556, 30, 282, 22179, 478, 28180, 938, 274, 470, 906, 45677, 529, 31467, 7072, 1032, 16, 25, 5096, 2791, 16, 515, 3785, 8093, 309, 1715, 13866, 812, 12535, 15634, 18, 9670, 478, 24775, 778, 9743, 2021, 470, 13309, 47663, 9410, 9364, 6997, 14630, 45323, 18, 17935, 3227, 12171, 12890, 651, 7020, 478, 780, 25613, 307, 315, 910, 478, 15821, 8488, 395, 1162, 470, 289, 478, 780, 1682, 315, 470, 334, 1870, 14916, 1602, 17, 33716, 483, 680, 2495, 582, 16, 367, 1038, 478, 13571, 462, 39465, 910, 478, 780, 5203, 884, 2097, 735, 470, 289, 2992, 2019, 309, 478, 3127, 577, 547, 37369, 298, 470, 334, 7635, 1452, 1602, 17, 44499, 483, 680, 5625, 18, 10462, 5596, 11726, 478, 24775, 718, 9743, 938, 274, 470, 349, 5487, 1658, 4776, 4479, 779, 14231, 13531, 28, 3763, 2791, 18, 1012, 344, 2147, 349, 34098, 17, 30454, 14660, 6245, 7102, 1488, 5096, 2791, 18, 6682, 1533, 986, 31383, 11024, 33325, 19287, 1034, 842, 268, 16, 396, 3290, 1779, 282, 4212, 26406, 6246, 938, 9396, 2364, 4317, 986, 18, 365, 35351, 18820, 2241, 1935, 47212, 6187, 15352, 16169, 2794, 7080, 12967, 12318, 3281, 6096, 49713, 483, 1624, 8851, 2615, 9541, 17, 277, 3651, 4534, 9543, 8308, 379, 273, 1624, 6187, 334, 8485, 10321, 3730, 9781, 289, 10268, 478, 10520, 933, 5642, 470, 3720, 29830, 712, 1624, 2337, 38350, 304, 11385, 3063, 289, 7234, 459, 10852, 732, 18748, 7550, 18333, 609, 289, 6187, 15352, 3131, 1901, 45336, 12967, 16201, 3281, 4137, 403, 20986, 18, 5347, 31817, 6728, 281, 403, 317, 8676, 12272, 510, 33793, 9835, 411, 14683, 510, 13156, 282, 26903, 9345, 434, 6997, 12177, 8343, 9471, 282, 18202, 478, 24775, 718, 9743, 938, 274, 861, 36185, 18723, 9534, 309, 20432, 16, 334, 30010, 416, 3352, 16, 898, 2241, 720, 14313, 613, 19007, 478, 4580, 19375, 2676, 2959, 470, 25734, 20790, 277, 5044, 18, 478, 48165, 17, 293, 18297, 574, 6558, 8087, 282, 3507, 309, 15742, 547, 37369, 298, 910, 510, 2548, 7897, 16, 29381, 294, 2726, 16336, 4281, 18, 1268, 3946, 478, 28180, 793, 470, 510, 36579, 42110, 510, 4281, 709, 3720, 28341, 507, 2576, 411, 19007, 478, 1140, 35215, 9743, 938, 274, 861, 889, 19007, 9914, 478, 4580, 19375, 2676, 4639, 470, 20790, 277, 5044, 18, 3720, 28341, 507, 2576, 23414, 3436, 16, 25, 17, 45900, 416, 27845, 282, 3131, 962, 46926, 1161, 2241, 478, 1098, 511, 375, 635, 910, 23209, 375, 27436, 22691, 478, 24775, 718, 9743, 938, 274, 861, 3727, 12015, 742, 20790, 277, 5044, 7974, 6675, 312, 2169, 9473, 360, 15841, 18, 11101, 16, 29381, 294, 4212, 49195, 25734, 20790, 277, 5044, 16, 2548, 16, 374, 17704, 478, 404, 685, 519, 3915, 3893, 282, 20630, 617, 8465, 282, 29272, 263, 861, 13387, 1505, 4359, 1254, 18164, 9743, 14872, 2364, 4843, 21, 5096, 18, 365, 6104, 1045, 282, 32100, 38204, 309, 7955, 9743, 639, 42406, 3436, 5096, 2791, 16, 367, 411, 15046, 10059, 23527, 430, 5096, 1658, 1618, 3763, 2791, 18, 365, 28731, 1045, 411, 10059, 4534, 42406, 3703, 16, 28, 5096, 2791, 16, 367, 411, 1087, 8853, 2266, 871, 7614, 802, 816, 5096, 2791, 18, 365, 44744, 45323, 9474, 7092, 16, 374, 541, 8274, 28981, 867, 513, 6997, 9743, 2003, 322, 2619, 4317, 5096, 2791, 282, 1205, 18, 365, 12838, 41968, 2891, 46557, 16, 374, 21038, 13342, 7143, 14630, 45323, 309, 26014, 1205, 1033, 828, 309, 3610, 5999, 44673, 4534, 4210, 5452, 29845, 25960, 35505, 38185, 6997, 25533, 39193, 9743, 289, 13541, 294, 697, 12875, 9781, 309, 9185, 7940, 1385, 9206, 16, 367, 322, 26231, 18, 14122, 17730, 4651, 7897, 282, 12893, 7501, 1812, 282, 15878, 20813, 6127, 1161, 5995, 478, 24775, 718, 9743, 938, 274, 910, 4813, 309, 17488, 17714, 18490, 4359, 6464, 18, 478, 682, 4139, 7064, 2001, 840, 8197, 3531, 5410, 26726, 18, 46954, 16, 7499, 305, 520, 697, 1717, 478, 24775, 778, 9743, 2021, 910, 510, 20374, 345, 928, 492, 18, 18154, 7897, 282, 12893, 12016, 290, 4103, 1161, 8212, 582, 5754, 30, 282, 11130, 4440, 779, 478, 46255, 921, 331, 2021, 470, 1943, 840, 46908, 28356, 553, 309, 430, 16, 25, 5096, 2791, 18, 2, 1, 87, 1456, 81, 2448, 30, 40736, 2042, 873, 309, 18271, 554, 482, 17279, 326, 38008, 597, 34007, 2926, 16, 281, 15774, 323, 1754, 12679, 5222, 11417, 5342, 17, 19897, 712, 1651, 403, 3002, 297, 18, 17935, 653, 15437, 10552, 3227, 460, 7894, 282, 11946, 17541, 16835, 2701, 11096, 8059, 16, 3429, 1027, 3348, 411, 8468, 15466, 5355, 11418, 1251, 11417, 5342, 17, 19897, 2389, 289, 14355, 8943, 18, 2861, 9930, 15466, 783, 1441, 895, 41930, 3124, 18, 31224, 30, 677, 10676, 31089, 38272, 290, 36665, 2926, 11811, 6876, 17541, 309, 10296, 30192, 11919, 18, 35652, 4847, 2610, 36987, 1559, 5222, 2151, 636, 45554, 17, 19897, 5855, 4623, 289, 21701, 6357, 14355, 2632, 334, 43984, 24253, 1651, 403, 3002, 297, 18, 824, 37299, 634, 313, 1838, 3430, 416, 6829, 11309, 778, 3871, 3685, 10047, 16555, 16, 32471, 1510, 48319, 18793, 5906, 424, 3314, 349, 1047, 12607, 282, 15161, 473, 431, 9077, 448, 27259, 7211, 873, 322, 1609, 5317, 814, 16369, 11811, 6876, 17541, 16, 2588, 16670, 11417, 5342, 17, 19897, 548, 1624, 20165, 2678, 541, 21385, 24554, 1855, 282, 33298, 522, 11875, 17797, 1580, 6922, 16249, 282, 4666, 12839, 427, 18, 2227, 1167, 2508, 5487, 2223, 282, 1033, 828, 3610, 9, 33298, 36794, 12486, 2223, 282, 34512, 12745, 18, 1178, 2504, 322, 10047, 5906, 16, 502, 16555, 16, 32471, 1510, 3440, 1223, 5606, 1718, 3209, 282, 37515, 33298, 286, 1751, 16, 17074, 21726, 16, 367, 505, 8113, 28496, 802, 1251, 6574, 2389, 16, 2766, 9471, 16289, 9551, 424, 16865, 21908, 282, 697, 14526, 12839, 891, 18, 1937, 1851, 17, 299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5234, 662, 1103, 576, 478, 24775, 778, 9743, 2021, 470, 7760, 3703, 3972, 18, 15293, 8984, 7341, 1066, 16, 42390, 16175, 309, 33747, 23626, 16, 34124, 857, 7024, 478, 28180, 2021, 861, 33320, 2873, 46469, 349, 2695, 1409, 16, 10207, 5096, 2791, 18, 365, 4542, 42110, 639, 11742, 4016, 28, 10945, 334, 1939, 3763, 2791, 477, 2411, 8317, 5995, 282, 491, 16, 1618, 5096, 2791, 18, 365, 1677, 5868, 20146, 2846, 25727, 2241, 510, 7024, 478, 563, 6408, 5497, 2021, 910, 7024, 478, 1605, 275, 331, 2021, 910, 19007, 478, 1182, 375, 35368, 470, 289, 7024, 478, 28180, 2021, 861, 17271, 4101, 2241, 20146, 282, 1677, 5868, 3989, 7556, 30, 282, 22179, 478, 28180, 938, 274, 470, 906, 45677, 529, 31467, 7072, 1032, 16, 25, 5096, 2791, 16, 515, 3785, 8093, 309, 1715, 13866, 812, 12535, 15634, 18, 9670, 478, 24775, 778, 9743, 2021, 470, 13309, 47663, 9410, 9364, 6997, 14630, 45323, 18, 17935, 3227, 12171, 12890, 651, 7020, 478, 780, 25613, 307, 315, 910, 478, 15821, 8488, 395, 1162, 470, 289, 478, 780, 1682, 315, 470, 334, 1870, 14916, 1602, 17, 33716, 483, 680, 2495, 582, 16, 367, 1038, 478, 13571, 462, 39465, 910, 478, 780, 5203, 884, 2097, 735, 470, 289, 2992, 2019, 309, 478, 3127, 577, 547, 37369, 298, 470, 334, 7635, 1452, 1602, 17, 44499, 483, 680, 5625, 18, 10462, 5596, 11726, 478, 24775, 718, 9743, 938, 274, 470, 349, 5487, 1658, 4776, 4479, 779, 14231, 13531, 28, 3763, 2791, 18, 1012, 344, 2147, 349, 34098, 17, 30454, 14660, 6245, 7102, 1488, 5096, 2791, 18, 6682, 1533, 986, 31383, 11024, 33325, 19287, 1034, 842, 268, 16, 396, 3290, 1779, 282, 4212, 26406, 6246, 938, 9396, 2364, 4317, 986, 18, 365, 35351, 18820, 2241, 1935, 47212, 6187, 15352, 16169, 2794, 7080, 12967, 12318, 3281, 6096, 49713, 483, 1624, 8851, 2615, 9541, 17, 277, 3651, 4534, 9543, 8308, 379, 273, 1624, 6187, 334, 8485, 10321, 3730, 9781, 289, 10268, 478, 10520, 933, 5642, 470, 3720, 29830, 712, 1624, 2337, 38350, 304, 11385, 3063, 289, 7234, 459, 10852, 732, 18748, 7550, 18333, 609, 289, 6187, 15352, 3131, 1901, 45336, 12967, 16201, 3281, 4137, 403, 20986, 18, 5347, 31817, 6728, 281, 403, 317, 8676, 12272, 510, 33793, 9835, 411, 14683, 510, 13156, 282, 26903, 9345, 434, 6997, 12177, 8343, 9471, 282, 18202, 478, 24775, 718, 9743, 938, 274, 861, 36185, 18723, 9534, 309, 20432, 16, 334, 30010, 416, 3352, 16, 898, 2241, 720, 14313, 613, 19007, 478, 4580, 19375, 2676, 2959, 470, 25734, 20790, 277, 5044, 18, 478, 48165, 17, 293, 18297, 574, 6558, 8087, 282, 3507, 309, 15742, 547, 37369, 298, 910, 510, 2548, 7897, 16, 29381, 294, 2726, 16336, 4281, 18, 1268, 3946, 478, 28180, 793, 470, 510, 36579, 42110, 510, 4281, 709, 3720, 28341, 507, 2576, 411, 19007, 478, 1140, 35215, 9743, 938, 274, 861, 889, 19007, 9914, 478, 4580, 19375, 2676, 4639, 470, 20790, 277, 5044, 18, 3720, 28341, 507, 2576, 23414, 3436, 16, 25, 17, 45900, 416, 27845, 282, 3131, 962, 46926, 1161, 2241, 478, 1098, 511, 375, 635, 910, 23209, 375, 27436, 22691, 478, 24775, 718, 9743, 938, 274, 861, 3727, 12015, 742, 20790, 277, 5044, 7974, 6675, 312, 2169, 9473, 360, 15841, 18, 11101, 16, 29381, 294, 4212, 49195, 25734, 20790, 277, 5044, 16, 2548, 16, 374, 17704, 478, 404, 685, 519, 3915, 3893, 282, 20630, 617, 8465, 282, 29272, 263, 861, 13387, 1505, 4359, 1254, 18164, 9743, 14872, 2364, 4843, 21, 5096, 18, 365, 6104, 1045, 282, 32100, 38204, 309, 7955, 9743, 639, 42406, 3436, 5096, 2791, 16, 367, 411, 15046, 10059, 23527, 430, 5096, 1658, 1618, 3763, 2791, 18, 365, 28731, 1045, 411, 10059, 4534, 42406, 3703, 16, 28, 5096, 2791, 16, 367, 411, 1087, 8853, 2266, 871, 7614, 802, 816, 5096, 2791, 18, 365, 44744, 45323, 9474, 7092, 16, 374, 541, 8274, 28981, 867, 513, 6997, 9743, 2003, 322, 2619, 4317, 5096, 2791, 282, 1205, 18, 365, 12838, 41968, 2891, 46557, 16, 374, 21038, 13342, 7143, 14630, 45323, 309, 26014, 1205, 1033, 828, 309, 3610, 5999, 44673, 4534, 4210, 5452, 29845, 25960, 35505, 38185, 6997, 25533, 39193, 9743, 289, 13541, 294, 697, 12875, 9781, 309, 9185, 7940, 1385, 9206, 16, 367, 322, 26231, 18, 14122, 17730, 4651, 7897, 282, 12893, 7501, 1812, 282, 15878, 20813, 6127, 1161, 5995, 478, 24775, 718, 9743, 938, 274, 910, 4813, 309, 17488, 17714, 18490, 4359, 6464, 18, 478, 682, 4139, 7064, 2001, 840, 8197, 3531, 5410, 26726, 18, 46954, 16, 7499, 305, 520, 697, 1717, 478, 24775, 778, 9743, 2021, 910, 510, 20374, 345, 928, 492, 18, 18154, 7897, 282, 12893, 12016, 290, 4103, 1161, 8212, 582, 5754, 30, 282, 11130, 4440, 779, 478, 46255, 921, 331, 2021, 470, 1943, 840, 46908, 28356, 553, 309, 430, 16, 25, 5096, 2791, 18, 2, 1, 87, 1456, 81, 2448, 30, 40736, 2042, 873, 309, 18271, 554, 482, 17279, 326, 38008, 597, 34007, 2926, 16, 281, 15774, 323, 1754, 12679, 5222, 11417, 5342, 17, 19897, 712, 1651, 403, 3002, 297, 18, 17935, 653, 15437, 10552, 3227, 460, 7894, 282, 11946, 17541, 16835, 2701, 11096, 8059, 16, 3429, 1027, 3348, 411, 8468, 15466, 5355, 11418, 1251, 11417, 5342, 17, 19897, 2389, 289, 14355, 8943, 18, 2861, 9930, 15466, 783, 1441, 895, 41930, 3124, 18, 31224, 30, 677, 10676, 31089, 38272, 290, 36665, 2926, 11811, 6876, 17541, 309, 10296, 30192, 11919, 18, 35652, 4847, 2610, 36987, 1559, 5222, 2151, 636, 45554, 17, 19897, 5855, 4623, 289, 21701, 6357, 14355, 2632, 334, 43984, 24253, 1651, 403, 3002, 297, 18, 824, 37299, 634, 313, 1838, 3430, 416, 6829, 11309, 778, 3871, 3685, 10047, 16555, 16, 32471, 1510, 48319, 18793, 5906, 424, 3314, 349, 1047, 12607, 282, 15161, 473, 431, 9077, 448, 27259, 7211, 873, 322, 1609, 5317, 814, 16369, 11811, 6876, 17541, 16, 2588, 16670, 11417, 5342, 17, 19897, 548, 1624, 20165, 2678, 541, 21385, 24554, 1855, 282, 33298, 522, 11875, 17797, 1580, 6922, 16249, 282, 4666, 12839, 427, 18, 2227, 1167, 2508, 5487, 2223, 282, 1033, 828, 3610, 9, 33298, 36794, 12486, 2223, 282, 34512, 12745, 18, 1178, 2504, 322, 10047, 5906, 16, 502, 16555, 16, 32471, 1510, 3440, 1223, 5606, 1718, 3209, 282, 37515, 33298, 286, 1751, 16, 17074, 21726, 16, 367, 505, 8113, 28496, 802, 1251, 6574, 2389, 16, 2766, 9471, 16289, 9551, 424, 16865, 21908, 282, 697, 14526, 12839, 891, 18, 1937, 1851, 17, 299 ]
[ 16555, 10047, 3610, 7418, 492, 7312, 282, 12760, 18, 7249, 309, 37113, 2926, 16, 678, 281, 15174, 17110, 16, 3057, 16, 282, 18769, 16, 988, 9728, 726, 1033, 3610, 986, 18, 1895, 4323, 2540, 334, 39424, 34007, 2926, 685, 3348, 411, 8468, 24253, 281, 12070, 2566, 25942, 309, 10296, 2124, 25200, 6466, 4623, 473, 8066, 9, 12607, 13, 289, 1881, 2339, 18326, 1756, 11417, 5342, 17, 19897, 712, 18, 5403, 1608, 7107, 6410, 16, 374, 477, 2200, 16511, 510, 3703, 9, 12607, 510, 745, 5684, 687, 1658, 9, 473, 11672, 13, 1801, 282, 28079, 31669, 18, 6592, 697, 35854, 395, 16, 282, 5118, 281, 4676, 13050, 773, 28774, 373, 25787, 30430, 712, 18, 4579, 8938, 15350, 6138, 17541, 21161, 289, 5222, 6963, 612, 7311, 7009, 38101, 296, 1191, 16, 387, 22603, 477, 28095, 282, 722, 8156, 18, 1278, 4258, 441, 1846, 873, 505, 322, 27631, 16, 374, 22444, 18964, 30463, 282, 8448, 4669, 4623, 18, 457, 1838, 575, 19341, 13095, 5925, 1279, 3317, 9713, 18, 19592, 873, 16, 9956, 334, 4547, 16, 322, 567, 721, 466, 15077, 15774, 323, 403, 3002, 486, 30, 5938, 41032, 27663, 272, 16, 2454, 10194, 12502, 323, 45367, 1624, 1279, 17773, 23054, 20274, 9, 21385, 16, 1033, 43400, 653, 15437, 26134, 8156, 1472, 4317, 5999, 41789, 5331, 7005, 17541, 3696, 530, 282, 10882, 5475, 18, 3747, 48127, 356, 289, 403, 3002, 297, 16144, 16, 374, 5138, 36987, 1745, 322, 21519, 305, 309, 15466, 1066, 16, 6441, 36987, 895, 1852, 21729, 17192, 334, 5508, 272, 30, 8099, 21666, 11417, 5342, 17, 2445, 368, 1155, 26060, 20392, 268, 726, 2815, 290, 30554, 12848, 9399, 18034, 18, 14445, 575, 282, 10676, 3227, 17091, 1715, 1421, 8241, 37515, 22081, 883, 30, 282, 12654, 30432, 16, 34575, 289, 39929, 409, 5840, 326, 11630, 8243, 6296, 7245, 16, 367, 282, 9460, 510, 4055, 29, 8243, 24653, 18, 365, 34575, 289, 39929, 409, 8425, 7545, 5103, 634, 313, 1838, 3430, 315, 17, 26376, 350, 876, 3050, 4461, 16, 282, 12654, 30432, 9728, 28099, 9077, 549, 289, 9184, 7870, 4461, 18, 365, 34575, 17632, 13521, 17601, 1812, 1251, 43984, 24175, 6047, 680, 9526, 36067, 289, 6963, 28945, 5364, 16, 282, 39929, 409, 510, 1251, 6963, 28945, 5364, 289, 9526, 36067, 7931, 8395, 769, 9221, 1572, 18, 365, 9839, 1395, 6047, 680, 5767, 18113, 15013, 49564, 3085, 10329, 1871, 2743, 564, 4623, 17198, 32874, 510, 34493, 9862, 37185, 2603, 41566, 10080, 289, 16062, 1162, 715, 6916, 1149, 16196, 410, 18, 824, 13976, 309, 816, 4177, 5963, 16, 5487, 7005, 12362, 16, 374, 6963, 612, 12539, 7601, 414, 2418, 22, 12997, 16, 289, 1421, 510, 14355, 1250, 1624, 282, 502, 808, 428, 11417, 5342, 17, 19897, 548, 16157, 3417, 18, 7758, 13521, 3419, 1033, 828, 349, 1488, 2562, 1801, 16, 7005, 282, 11063, 36650, 764, 5095, 759, 5808, 18, 824, 3761, 653, 8783, 10552, 10144, 16, 6963, 612, 12539, 8070, 360, 1790, 874, 3333, 411, 4079, 7069, 1801, 282, 8243, 11919, 292, 18, 5223, 22700, 17, 911, 291, 7211, 873, 322, 19521, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 1637, 25216, 274, 309, 33316, 4846, 4119, 16, 34362, 15716, 289, 19276, 1472, 4783, 1867, 32345, 289, 739, 17990, 33530, 282, 4008, 18, 31224, 30, 20186, 883, 27663, 41987, 347, 17, 9782, 309, 7178, 668, 6266, 14306, 15867, 29511, 1066, 18, 1860, 377, 1340, 29838, 16, 374, 1223, 349, 1421, 779, 5630, 33935, 282, 1175, 48492, 281, 6459, 519, 23308, 7540, 16, 1655, 428, 12655, 16, 7415, 16, 22121, 435, 281, 1032, 519, 1409, 18, 439, 1373, 764, 25254, 35465, 34148, 331, 5481, 1299, 294, 1939, 3161, 1045, 11325, 29676, 8902, 18, 36538, 14821, 262, 11685, 16, 4200, 525, 35465, 1565, 317, 379, 1148, 16, 29676, 4504, 3621, 2654, 309, 4837, 18, 5315, 3743, 7183, 322, 3336, 9064, 18, 365, 653, 12862, 41987, 347, 17, 9782, 2125, 48044, 322, 15811, 13863, 7619, 33935, 289, 7019, 12655, 18, 1606, 282, 1169, 322, 4836, 18, 4406, 1122, 4703, 1033, 11289, 448, 4465, 16, 515, 745, 1965, 322, 284, 642, 18, 1345, 374, 16, 3255, 322, 6745, 16, 374, 5906, 1512, 9106, 530, 282, 9739, 541, 924, 16, 753, 8658, 3353, 2606, 289, 714, 823, 506, 473, 7536, 18314, 670, 16012, 1772, 34612, 16, 7741, 22344, 289, 360, 1035, 2235, 473, 6894, 18314, 35, 439, 3440, 1223, 16, 753, 5134, 3455, 282, 44191, 2893, 473, 3572, 18314, 670, 28311, 2998, 289, 371, 11649, 506, 473, 27, 18314, 35, 3923, 16, 6745, 18, 1367, 803, 46780, 869, 4849, 5561, 13607, 11385, 13193, 653, 15437, 18, 7914, 16, 6895, 289, 5639, 539, 28118, 16, 2944, 6218, 16, 374, 541, 11248, 7179, 4186, 34362, 15716, 510, 481, 1480, 9526, 45304, 18, 2046, 28118, 5073, 411, 978, 30914, 13051, 448, 15582, 18, 1591, 17, 7329, 16, 2174, 3400, 33935, 20515, 16989, 539, 7642, 18, 1591, 17, 8678, 16, 22038, 370, 344, 1463, 478, 5107, 362, 4172, 470, 282, 6516, 16, 424, 819, 1463, 581, 289, 25816, 1886, 282, 24431, 16212, 363, 18, 2876, 47830, 478, 2796, 778, 510, 2862, 9339, 451, 470, 1381, 17126, 18, 740, 47435, 3236, 289, 35841, 15582, 18, 1937, 19159, 4362, 3348, 411, 32486, 27551, 9526, 24179, 16, 678, 7562, 19148, 3966, 3125, 2935, 597, 16, 367, 502, 289, 7549, 1734, 294, 267, 1569, 47002, 1290, 18, 365, 4190, 1269, 13674, 1809, 2553, 481, 4521, 322, 34817, 18, 31309, 276, 290, 970, 16, 374, 9339, 451, 322, 502, 374, 3965, 679, 613, 16, 43836, 322, 6506, 341, 16, 1548, 374, 329, 1047, 2309, 282, 6151, 16, 387, 383, 2198, 15518, 322, 9523, 18, 9230, 492, 9339, 451, 16, 827, 32650, 282, 9308, 445, 282, 1205, 8658, 3353, 2606, 35, 9570, 290, 3177, 44275, 8210, 1207, 20882, 8046, 18, 459, 371, 1750, 281, 8980, 4864, 3213, 31012, 18, 32166, 2567, 8640, 13981, 1974, 281, 18183, 12655, 718, 4186, 16, 329, 2024, 475, 282, 4666, 281, 2792, 2771, 355, 18, 740, 1743, 322, 4443, 282, 2792, 5006, 16, 3176, 282, 970, 16, 1085, 870, 49890, 35, 21458, 539, 28118, 31387, 6532, 1423, 850, 1016, 334, 3125, 9885, 2202, 454, 16, 3387, 481, 29459, 975, 2205, 18, 42420, 1574, 575, 5751, 761, 19790, 484, 289, 28118, 12655, 1880, 281, 3217, 445, 5793, 16, 374, 9112, 24189, 309, 739, 21099, 26640, 16, 3387, 19276, 2268, 5353, 307, 928, 18, 5360, 4748, 13076, 16, 374, 12655, 1269, 289, 2391, 745 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16555, 10047, 3610, 7418, 492, 7312, 282, 12760, 18, 7249, 309, 37113, 2926, 16, 678, 281, 15174, 17110, 16, 3057, 16, 282, 18769, 16, 988, 9728, 726, 1033, 3610, 986, 18, 1895, 4323, 2540, 334, 39424, 34007, 2926, 685, 3348, 411, 8468, 24253, 281, 12070, 2566, 25942, 309, 10296, 2124, 25200, 6466, 4623, 473, 8066, 9, 12607, 13, 289, 1881, 2339, 18326, 1756, 11417, 5342, 17, 19897, 712, 18, 5403, 1608, 7107, 6410, 16, 374, 477, 2200, 16511, 510, 3703, 9, 12607, 510, 745, 5684, 687, 1658, 9, 473, 11672, 13, 1801, 282, 28079, 31669, 18, 6592, 697, 35854, 395, 16, 282, 5118, 281, 4676, 13050, 773, 28774, 373, 25787, 30430, 712, 18, 4579, 8938, 15350, 6138, 17541, 21161, 289, 5222, 6963, 612, 7311, 7009, 38101, 296, 1191, 16, 387, 22603, 477, 28095, 282, 722, 8156, 18, 1278, 4258, 441, 1846, 873, 505, 322, 27631, 16, 374, 22444, 18964, 30463, 282, 8448, 4669, 4623, 18, 457, 1838, 575, 19341, 13095, 5925, 1279, 3317, 9713, 18, 19592, 873, 16, 9956, 334, 4547, 16, 322, 567, 721, 466, 15077, 15774, 323, 403, 3002, 486, 30, 5938, 41032, 27663, 272, 16, 2454, 10194, 12502, 323, 45367, 1624, 1279, 17773, 23054, 20274, 9, 21385, 16, 1033, 43400, 653, 15437, 26134, 8156, 1472, 4317, 5999, 41789, 5331, 7005, 17541, 3696, 530, 282, 10882, 5475, 18, 3747, 48127, 356, 289, 403, 3002, 297, 16144, 16, 374, 5138, 36987, 1745, 322, 21519, 305, 309, 15466, 1066, 16, 6441, 36987, 895, 1852, 21729, 17192, 334, 5508, 272, 30, 8099, 21666, 11417, 5342, 17, 2445, 368, 1155, 26060, 20392, 268, 726, 2815, 290, 30554, 12848, 9399, 18034, 18, 14445, 575, 282, 10676, 3227, 17091, 1715, 1421, 8241, 37515, 22081, 883, 30, 282, 12654, 30432, 16, 34575, 289, 39929, 409, 5840, 326, 11630, 8243, 6296, 7245, 16, 367, 282, 9460, 510, 4055, 29, 8243, 24653, 18, 365, 34575, 289, 39929, 409, 8425, 7545, 5103, 634, 313, 1838, 3430, 315, 17, 26376, 350, 876, 3050, 4461, 16, 282, 12654, 30432, 9728, 28099, 9077, 549, 289, 9184, 7870, 4461, 18, 365, 34575, 17632, 13521, 17601, 1812, 1251, 43984, 24175, 6047, 680, 9526, 36067, 289, 6963, 28945, 5364, 16, 282, 39929, 409, 510, 1251, 6963, 28945, 5364, 289, 9526, 36067, 7931, 8395, 769, 9221, 1572, 18, 365, 9839, 1395, 6047, 680, 5767, 18113, 15013, 49564, 3085, 10329, 1871, 2743, 564, 4623, 17198, 32874, 510, 34493, 9862, 37185, 2603, 41566, 10080, 289, 16062, 1162, 715, 6916, 1149, 16196, 410, 18, 824, 13976, 309, 816, 4177, 5963, 16, 5487, 7005, 12362, 16, 374, 6963, 612, 12539, 7601, 414, 2418, 22, 12997, 16, 289, 1421, 510, 14355, 1250, 1624, 282, 502, 808, 428, 11417, 5342, 17, 19897, 548, 16157, 3417, 18, 7758, 13521, 3419, 1033, 828, 349, 1488, 2562, 1801, 16, 7005, 282, 11063, 36650, 764, 5095, 759, 5808, 18, 824, 3761, 653, 8783, 10552, 10144, 16, 6963, 612, 12539, 8070, 360, 1790, 874, 3333, 411, 4079, 7069, 1801, 282, 8243, 11919, 292, 18, 5223, 22700, 17, 911, 291, 7211, 873, 322, 19521, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 1637, 25216, 274, 309, 33316, 4846, 4119, 16, 34362, 15716, 289, 19276, 1472, 4783, 1867, 32345, 289, 739, 17990, 33530, 282, 4008, 18, 31224, 30, 20186, 883, 27663, 41987, 347, 17, 9782, 309, 7178, 668, 6266, 14306, 15867, 29511, 1066, 18, 1860, 377, 1340, 29838, 16, 374, 1223, 349, 1421, 779, 5630, 33935, 282, 1175, 48492, 281, 6459, 519, 23308, 7540, 16, 1655, 428, 12655, 16, 7415, 16, 22121, 435, 281, 1032, 519, 1409, 18, 439, 1373, 764, 25254, 35465, 34148, 331, 5481, 1299, 294, 1939, 3161, 1045, 11325, 29676, 8902, 18, 36538, 14821, 262, 11685, 16, 4200, 525, 35465, 1565, 317, 379, 1148, 16, 29676, 4504, 3621, 2654, 309, 4837, 18, 5315, 3743, 7183, 322, 3336, 9064, 18, 365, 653, 12862, 41987, 347, 17, 9782, 2125, 48044, 322, 15811, 13863, 7619, 33935, 289, 7019, 12655, 18, 1606, 282, 1169, 322, 4836, 18, 4406, 1122, 4703, 1033, 11289, 448, 4465, 16, 515, 745, 1965, 322, 284, 642, 18, 1345, 374, 16, 3255, 322, 6745, 16, 374, 5906, 1512, 9106, 530, 282, 9739, 541, 924, 16, 753, 8658, 3353, 2606, 289, 714, 823, 506, 473, 7536, 18314, 670, 16012, 1772, 34612, 16, 7741, 22344, 289, 360, 1035, 2235, 473, 6894, 18314, 35, 439, 3440, 1223, 16, 753, 5134, 3455, 282, 44191, 2893, 473, 3572, 18314, 670, 28311, 2998, 289, 371, 11649, 506, 473, 27, 18314, 35, 3923, 16, 6745, 18, 1367, 803, 46780, 869, 4849, 5561, 13607, 11385, 13193, 653, 15437, 18, 7914, 16, 6895, 289, 5639, 539, 28118, 16, 2944, 6218, 16, 374, 541, 11248, 7179, 4186, 34362, 15716, 510, 481, 1480, 9526, 45304, 18, 2046, 28118, 5073, 411, 978, 30914, 13051, 448, 15582, 18, 1591, 17, 7329, 16, 2174, 3400, 33935, 20515, 16989, 539, 7642, 18, 1591, 17, 8678, 16, 22038, 370, 344, 1463, 478, 5107, 362, 4172, 470, 282, 6516, 16, 424, 819, 1463, 581, 289, 25816, 1886, 282, 24431, 16212, 363, 18, 2876, 47830, 478, 2796, 778, 510, 2862, 9339, 451, 470, 1381, 17126, 18, 740, 47435, 3236, 289, 35841, 15582, 18, 1937, 19159, 4362, 3348, 411, 32486, 27551, 9526, 24179, 16, 678, 7562, 19148, 3966, 3125, 2935, 597, 16, 367, 502, 289, 7549, 1734, 294, 267, 1569, 47002, 1290, 18, 365, 4190, 1269, 13674, 1809, 2553, 481, 4521, 322, 34817, 18, 31309, 276, 290, 970, 16, 374, 9339, 451, 322, 502, 374, 3965, 679, 613, 16, 43836, 322, 6506, 341, 16, 1548, 374, 329, 1047, 2309, 282, 6151, 16, 387, 383, 2198, 15518, 322, 9523, 18, 9230, 492, 9339, 451, 16, 827, 32650, 282, 9308, 445, 282, 1205, 8658, 3353, 2606, 35, 9570, 290, 3177, 44275, 8210, 1207, 20882, 8046, 18, 459, 371, 1750, 281, 8980, 4864, 3213, 31012, 18, 32166, 2567, 8640, 13981, 1974, 281, 18183, 12655, 718, 4186, 16, 329, 2024, 475, 282, 4666, 281, 2792, 2771, 355, 18, 740, 1743, 322, 4443, 282, 2792, 5006, 16, 3176, 282, 970, 16, 1085, 870, 49890, 35, 21458, 539, 28118, 31387, 6532, 1423, 850, 1016, 334, 3125, 9885, 2202, 454, 16, 3387, 481, 29459, 975, 2205, 18, 42420, 1574, 575, 5751, 761, 19790, 484, 289, 28118, 12655, 1880, 281, 3217, 445, 5793, 16, 374, 9112, 24189, 309, 739, 21099, 26640, 16, 3387, 19276, 2268, 5353, 307, 928, 18, 5360, 4748, 13076, 16, 374, 12655, 1269, 289, 2391, 745 ]
[ 28417, 282, 42719, 4599, 18, 1303, 11404, 322, 2397, 7713, 18, 403, 6095, 16, 27663, 41987, 347, 17, 9782, 322, 11509, 5932, 813, 20893, 290, 970, 16, 428, 745, 15999, 467, 1423, 16940, 16, 515, 4010, 17, 299, 10941, 381, 803, 942, 3604, 411, 1888, 9487, 18, 1860, 377, 1340, 411, 5119, 478, 563, 9255, 910, 294, 7555, 16, 3221, 3457, 16, 428, 2669, 1030, 1886, 10933, 834, 4381, 4095, 43934, 289, 3844, 611, 6454, 18, 47090, 16, 374, 2552, 1119, 2184, 15373, 16, 334, 697, 22061, 43137, 16, 2123, 9, 33935, 289, 2706, 9, 12655, 18, 17935, 5668, 1867, 1143, 17051, 427, 16, 515, 8067, 520, 35, 4185, 31777, 9902, 282, 803, 16, 2702, 5298, 309, 24431, 17793, 20428, 510, 32787, 712, 18, 6831, 1129, 2552, 1119, 1030, 1886, 19124, 1143, 30098, 18, 985, 373, 502, 537, 639, 16, 34822, 274, 3308, 3823, 20428, 2950, 34772, 965, 282, 28292, 12655, 18, 7883, 373, 19276, 1133, 21854, 537, 6877, 414, 813, 282, 24501, 16, 1030, 16, 44783, 3141, 32478, 3128, 289, 4803, 15619, 16, 502, 16, 374, 656, 7967, 289, 2720, 406, 16, 2856, 4726, 29657, 18, 629, 322, 9191, 282, 4432, 19276, 778, 17664, 9351, 16, 481, 4077, 21525, 18, 26605, 23204, 1805, 322, 29740, 813, 11879, 2661, 19276, 718, 2309, 50148, 18, 16003, 16, 374, 739, 307, 4118, 44783, 2986, 16, 428, 289, 9339, 536, 3125, 414, 7309, 16, 697, 7178, 549, 37128, 2799, 3519, 1472, 27283, 5961, 8210, 624, 1195, 10836, 16, 4106, 322, 46820, 3433, 30353, 18, 385, 31176, 46735, 294, 38131, 4151, 18, 5333, 2175, 16, 656, 14877, 1871, 15751, 16, 21854, 1639, 10441, 32659, 290, 1360, 22299, 1809, 33316, 1873, 5703, 16, 367, 309, 2463, 19428, 414, 4364, 329, 850, 366, 276, 8433, 15185, 289, 739, 24248, 8210, 624, 18, 365, 1574, 4008, 16, 428, 3771, 16, 481, 475, 3066, 16, 374, 8831, 13370, 33920, 45311, 282, 8779, 2576, 304, 32905, 636, 18, 20205, 20070, 726, 29512, 305, 7967, 839, 6101, 282, 1110, 6594, 16, 988, 1749, 19362, 13009, 8391, 3714, 290, 3714, 702, 281, 4413, 18, 38710, 1613, 575, 7522, 18, 6644, 445, 17200, 564, 6001, 6838, 17, 12538, 39521, 9466, 13362, 11784, 1237, 2496, 3187, 1941, 26689, 18, 40148, 3784, 467, 46565, 2917, 22462, 355, 16, 37981, 708, 332, 542, 10932, 609, 3073, 16086, 2509, 29423, 1518, 18, 9857, 575, 11784, 1700, 22347, 16, 785, 49890, 3696, 5802, 381, 2081, 432, 18979, 6997, 38928, 282, 970, 670, 18464, 3948, 10208, 18, 6698, 318, 27137, 282, 26074, 382, 22567, 27031, 16, 961, 48982, 16, 374, 697, 25235, 1354, 1747, 24613, 19359, 1749, 281, 697, 955, 3570, 284, 6514, 353, 18, 6351, 31507, 282, 1595, 367, 2679, 289, 1122, 10932, 609, 449, 10304, 18, 365, 1078, 745, 25646, 266, 16, 374, 9283, 6993, 17431, 30592, 2362, 318, 289, 1218, 21863, 16393, 16, 367, 687, 33876, 32841, 289, 32155, 307, 5832, 18, 31076, 1039, 312, 38105, 7267, 282, 5806, 322, 26501, 32685, 2793, 6705, 16, 367, 3829, 1501, 382, 16190, 24774, 16, 785, 10400, 539, 289, 1371, 346, 263, 3660, 263, 43659, 576, 40275, 830, 11160, 18, 22258, 1501, 382, 1404, 12784, 16, 289, 40961, 334, 643, 1083, 1323, 18, 1178, 1003, 12319, 345, 2514, 40023, 32940, 16, 30763, 13013, 1494, 942, 27270, 281, 3195, 12034, 1901, 11789, 7245, 18, 740, 785, 309, 1756, 22861, 24891, 6454, 15415, 32345, 16, 1373, 12034, 1924, 33975, 1320, 42106, 318, 18, 365, 6449, 1750, 7006, 520, 697, 8070, 3089, 34101, 312, 16, 961, 6547, 22829, 309, 34154, 289, 739, 307, 4846, 3947, 7142, 1360, 850, 366, 276, 18, 11566, 373, 16, 282, 1574, 4096, 18091, 987, 4846, 4119, 20312, 7385, 17771, 287, 5736, 373, 4693, 309, 965, 1405, 1880, 7441, 18, 824, 22176, 2650, 329, 813, 912, 16, 367, 282, 11129, 35, 365, 11129, 2089, 4119, 808, 360, 1612, 12530, 28998, 6195, 1924, 2891, 18, 7793, 329, 1129, 935, 7155, 18, 740, 18901, 16004, 282, 1965, 2393, 4466, 18, 3026, 28908, 3441, 46413, 510, 34362, 15716, 510, 289, 39808, 467, 309, 1710, 8341, 349, 2181, 20415, 18, 439, 411, 2107, 510, 39856, 510, 12530, 2048, 12122, 434, 14804, 334, 5549, 3276, 7546, 18, 459, 1215, 411, 978, 726, 322, 8874, 1329, 18, 24037, 3550, 1374, 16, 1299, 322, 16684, 29676, 4504, 18, 5043, 16, 478, 1599, 42013, 420, 4504, 470, 1320, 813, 322, 8232, 18, 24563, 16, 9956, 334, 4547, 16, 749, 47730, 5937, 6591, 24891, 6454, 309, 30073, 17, 5353, 23706, 25426, 18, 40703, 3829, 1501, 343, 16, 445, 648, 14098, 519, 13127, 2553, 18, 2, 1, 87, 1456, 81, 2448, 30, 25769, 40414, 13056, 484, 349, 10471, 11854, 294, 31393, 954, 30, 5938, 4676, 35847, 16, 5906, 5303, 2759, 2553, 9707, 5245, 3175, 516, 1805, 281, 2261, 17, 3420, 986, 18, 824, 4734, 8300, 18380, 334, 36700, 33976, 23292, 16, 481, 939, 7885, 289, 895, 23379, 1777, 506, 309, 744, 755, 8256, 18, 31224, 30, 32263, 12987, 334, 36700, 33976, 23292, 7974, 23928, 408, 375, 2815, 16, 374, 1800, 5906, 11854, 9707, 3175, 516, 1805, 282, 2261, 17, 3420, 986, 510, 381, 803, 3110, 6080, 478, 13261, 861, 23928, 408, 375, 46340, 16, 374, 3433, 33615, 16, 334, 505, 5501, 954, 16, 895, 1777, 506, 309, 744, 755, 8256, 16, 3387, 828, 3255, 11707, 1749, 9707, 6908, 35377, 16, 867, 1143, 282, 23231, 1816, 12615, 745, 2286, 1867, 9024, 649, 18, 3791, 541, 24507, 492, 4848, 16, 374, 19585, 10896, 23925, 282, 12482, 2496, 4717, 4896, 3436, 17, 6475, 986, 16, 367, 2496, 5164, 510, 4016, 17, 6894, 18, 478, 4441, 11707, 16, 45759, 16, 11963, 31409, 1749, 16, 45758, 749, 19562, 911, 2563, 542, 6143, 5169, 16, 2391, 473, 27109, 10981, 13, 442, 6425, 3451, 16, 4531, 412, 6538, 918, 16, 329, 35536, 2592, 8323, 16, 4885, 280, 404, 1549, 332, 655, 475, 481, 2397, 1756, 294, 18254, 36700, 6011, 1727, 7194, 10108, 910, 510, 19755, 23928, 408, 375, 18, 15712, 285, 5692, 16, 374, 1800, 20391, 16, 24, 9, 4717, 16, 961, 33134, 47686, 16, 726, 4247, 13662, 8332, 43426, 18, 365, 2604, 1045, 16502, 778, 5482, 15008, 11758, 12213, 473, 43172, 28899, 780, 6778, 7609, 27663, 4186, 281, 5173, 12369, 16, 428, 349, 4101, 2706, 986, 15050, 6106, 3338, 1455, 13381, 290, 5775, 2466, 40603, 11079, 18, 23979, 29836, 12362, 16, 374, 282, 2874, 4701, 9224, 1924, 3361, 519, 17787, 475 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28417, 282, 42719, 4599, 18, 1303, 11404, 322, 2397, 7713, 18, 403, 6095, 16, 27663, 41987, 347, 17, 9782, 322, 11509, 5932, 813, 20893, 290, 970, 16, 428, 745, 15999, 467, 1423, 16940, 16, 515, 4010, 17, 299, 10941, 381, 803, 942, 3604, 411, 1888, 9487, 18, 1860, 377, 1340, 411, 5119, 478, 563, 9255, 910, 294, 7555, 16, 3221, 3457, 16, 428, 2669, 1030, 1886, 10933, 834, 4381, 4095, 43934, 289, 3844, 611, 6454, 18, 47090, 16, 374, 2552, 1119, 2184, 15373, 16, 334, 697, 22061, 43137, 16, 2123, 9, 33935, 289, 2706, 9, 12655, 18, 17935, 5668, 1867, 1143, 17051, 427, 16, 515, 8067, 520, 35, 4185, 31777, 9902, 282, 803, 16, 2702, 5298, 309, 24431, 17793, 20428, 510, 32787, 712, 18, 6831, 1129, 2552, 1119, 1030, 1886, 19124, 1143, 30098, 18, 985, 373, 502, 537, 639, 16, 34822, 274, 3308, 3823, 20428, 2950, 34772, 965, 282, 28292, 12655, 18, 7883, 373, 19276, 1133, 21854, 537, 6877, 414, 813, 282, 24501, 16, 1030, 16, 44783, 3141, 32478, 3128, 289, 4803, 15619, 16, 502, 16, 374, 656, 7967, 289, 2720, 406, 16, 2856, 4726, 29657, 18, 629, 322, 9191, 282, 4432, 19276, 778, 17664, 9351, 16, 481, 4077, 21525, 18, 26605, 23204, 1805, 322, 29740, 813, 11879, 2661, 19276, 718, 2309, 50148, 18, 16003, 16, 374, 739, 307, 4118, 44783, 2986, 16, 428, 289, 9339, 536, 3125, 414, 7309, 16, 697, 7178, 549, 37128, 2799, 3519, 1472, 27283, 5961, 8210, 624, 1195, 10836, 16, 4106, 322, 46820, 3433, 30353, 18, 385, 31176, 46735, 294, 38131, 4151, 18, 5333, 2175, 16, 656, 14877, 1871, 15751, 16, 21854, 1639, 10441, 32659, 290, 1360, 22299, 1809, 33316, 1873, 5703, 16, 367, 309, 2463, 19428, 414, 4364, 329, 850, 366, 276, 8433, 15185, 289, 739, 24248, 8210, 624, 18, 365, 1574, 4008, 16, 428, 3771, 16, 481, 475, 3066, 16, 374, 8831, 13370, 33920, 45311, 282, 8779, 2576, 304, 32905, 636, 18, 20205, 20070, 726, 29512, 305, 7967, 839, 6101, 282, 1110, 6594, 16, 988, 1749, 19362, 13009, 8391, 3714, 290, 3714, 702, 281, 4413, 18, 38710, 1613, 575, 7522, 18, 6644, 445, 17200, 564, 6001, 6838, 17, 12538, 39521, 9466, 13362, 11784, 1237, 2496, 3187, 1941, 26689, 18, 40148, 3784, 467, 46565, 2917, 22462, 355, 16, 37981, 708, 332, 542, 10932, 609, 3073, 16086, 2509, 29423, 1518, 18, 9857, 575, 11784, 1700, 22347, 16, 785, 49890, 3696, 5802, 381, 2081, 432, 18979, 6997, 38928, 282, 970, 670, 18464, 3948, 10208, 18, 6698, 318, 27137, 282, 26074, 382, 22567, 27031, 16, 961, 48982, 16, 374, 697, 25235, 1354, 1747, 24613, 19359, 1749, 281, 697, 955, 3570, 284, 6514, 353, 18, 6351, 31507, 282, 1595, 367, 2679, 289, 1122, 10932, 609, 449, 10304, 18, 365, 1078, 745, 25646, 266, 16, 374, 9283, 6993, 17431, 30592, 2362, 318, 289, 1218, 21863, 16393, 16, 367, 687, 33876, 32841, 289, 32155, 307, 5832, 18, 31076, 1039, 312, 38105, 7267, 282, 5806, 322, 26501, 32685, 2793, 6705, 16, 367, 3829, 1501, 382, 16190, 24774, 16, 785, 10400, 539, 289, 1371, 346, 263, 3660, 263, 43659, 576, 40275, 830, 11160, 18, 22258, 1501, 382, 1404, 12784, 16, 289, 40961, 334, 643, 1083, 1323, 18, 1178, 1003, 12319, 345, 2514, 40023, 32940, 16, 30763, 13013, 1494, 942, 27270, 281, 3195, 12034, 1901, 11789, 7245, 18, 740, 785, 309, 1756, 22861, 24891, 6454, 15415, 32345, 16, 1373, 12034, 1924, 33975, 1320, 42106, 318, 18, 365, 6449, 1750, 7006, 520, 697, 8070, 3089, 34101, 312, 16, 961, 6547, 22829, 309, 34154, 289, 739, 307, 4846, 3947, 7142, 1360, 850, 366, 276, 18, 11566, 373, 16, 282, 1574, 4096, 18091, 987, 4846, 4119, 20312, 7385, 17771, 287, 5736, 373, 4693, 309, 965, 1405, 1880, 7441, 18, 824, 22176, 2650, 329, 813, 912, 16, 367, 282, 11129, 35, 365, 11129, 2089, 4119, 808, 360, 1612, 12530, 28998, 6195, 1924, 2891, 18, 7793, 329, 1129, 935, 7155, 18, 740, 18901, 16004, 282, 1965, 2393, 4466, 18, 3026, 28908, 3441, 46413, 510, 34362, 15716, 510, 289, 39808, 467, 309, 1710, 8341, 349, 2181, 20415, 18, 439, 411, 2107, 510, 39856, 510, 12530, 2048, 12122, 434, 14804, 334, 5549, 3276, 7546, 18, 459, 1215, 411, 978, 726, 322, 8874, 1329, 18, 24037, 3550, 1374, 16, 1299, 322, 16684, 29676, 4504, 18, 5043, 16, 478, 1599, 42013, 420, 4504, 470, 1320, 813, 322, 8232, 18, 24563, 16, 9956, 334, 4547, 16, 749, 47730, 5937, 6591, 24891, 6454, 309, 30073, 17, 5353, 23706, 25426, 18, 40703, 3829, 1501, 343, 16, 445, 648, 14098, 519, 13127, 2553, 18, 2, 1, 87, 1456, 81, 2448, 30, 25769, 40414, 13056, 484, 349, 10471, 11854, 294, 31393, 954, 30, 5938, 4676, 35847, 16, 5906, 5303, 2759, 2553, 9707, 5245, 3175, 516, 1805, 281, 2261, 17, 3420, 986, 18, 824, 4734, 8300, 18380, 334, 36700, 33976, 23292, 16, 481, 939, 7885, 289, 895, 23379, 1777, 506, 309, 744, 755, 8256, 18, 31224, 30, 32263, 12987, 334, 36700, 33976, 23292, 7974, 23928, 408, 375, 2815, 16, 374, 1800, 5906, 11854, 9707, 3175, 516, 1805, 282, 2261, 17, 3420, 986, 510, 381, 803, 3110, 6080, 478, 13261, 861, 23928, 408, 375, 46340, 16, 374, 3433, 33615, 16, 334, 505, 5501, 954, 16, 895, 1777, 506, 309, 744, 755, 8256, 16, 3387, 828, 3255, 11707, 1749, 9707, 6908, 35377, 16, 867, 1143, 282, 23231, 1816, 12615, 745, 2286, 1867, 9024, 649, 18, 3791, 541, 24507, 492, 4848, 16, 374, 19585, 10896, 23925, 282, 12482, 2496, 4717, 4896, 3436, 17, 6475, 986, 16, 367, 2496, 5164, 510, 4016, 17, 6894, 18, 478, 4441, 11707, 16, 45759, 16, 11963, 31409, 1749, 16, 45758, 749, 19562, 911, 2563, 542, 6143, 5169, 16, 2391, 473, 27109, 10981, 13, 442, 6425, 3451, 16, 4531, 412, 6538, 918, 16, 329, 35536, 2592, 8323, 16, 4885, 280, 404, 1549, 332, 655, 475, 481, 2397, 1756, 294, 18254, 36700, 6011, 1727, 7194, 10108, 910, 510, 19755, 23928, 408, 375, 18, 15712, 285, 5692, 16, 374, 1800, 20391, 16, 24, 9, 4717, 16, 961, 33134, 47686, 16, 726, 4247, 13662, 8332, 43426, 18, 365, 2604, 1045, 16502, 778, 5482, 15008, 11758, 12213, 473, 43172, 28899, 780, 6778, 7609, 27663, 4186, 281, 5173, 12369, 16, 428, 349, 4101, 2706, 986, 15050, 6106, 3338, 1455, 13381, 290, 5775, 2466, 40603, 11079, 18, 23979, 29836, 12362, 16, 374, 282, 2874, 4701, 9224, 1924, 3361, 519, 17787, 475 ]
[ 5511, 9486, 802, 428, 6505, 43993, 16, 2686, 1033, 1939, 9, 11854, 475, 764, 6881, 16, 374, 6908, 35377, 16, 322, 3168, 6016, 1933, 2234, 5508, 16, 2955, 18, 1178, 2555, 986, 2158, 24829, 400, 11105, 17090, 519, 17787, 541, 31606, 13585, 4518, 7418, 367, 541, 12706, 651, 10608, 9, 4186, 2553, 16, 502, 282, 2801, 1045, 15811, 3585, 19255, 519, 3695, 9, 289, 4016, 7418, 8774, 18, 6754, 364, 839, 1749, 282, 803, 17691, 5823, 1033, 14355, 659, 318, 30, 39432, 1116, 17090, 519, 17787, 40379, 7640, 9, 36379, 11716, 5259, 986, 289, 687, 1912, 9, 1281, 17, 5493, 17, 1123, 1608, 18, 2511, 9, 31606, 289, 1658, 9, 12706, 12002, 16, 374, 9224, 1924, 3361, 519, 17787, 510, 481, 322, 687, 4369, 15131, 16, 515, 289, 2003, 18, 41651, 16, 374, 9402, 2900, 25870, 20264, 5775, 2466, 16891, 16279, 9, 41618, 40379, 24973, 368, 29916, 289, 48524, 16, 6015, 2728, 481, 309, 32373, 564, 4650, 1147, 28807, 1354, 289, 16148, 539, 474, 4139, 23182, 13963, 18, 365, 3106, 1888, 4284, 30434, 448, 1038, 28703, 414, 1033, 3968, 968, 28996, 36602, 2235, 289, 14909, 31014, 290, 5032, 18, 365, 2801, 1045, 639, 34377, 322, 2619, 3286, 6839, 15033, 16, 290, 2114, 10703, 9063, 478, 36625, 861, 365, 3232, 12904, 27593, 434, 5500, 7574, 2533, 478, 39170, 405, 17, 36375, 448, 3860, 19283, 19466, 470, 45378, 5024, 16, 334, 3279, 2496, 28826, 2439, 5856, 334, 3025, 4008, 12706, 43706, 1033, 4317, 9, 1110, 16, 1085, 294, 1760, 17912, 726, 9724, 1503, 10723, 18, 967, 803, 10711, 49176, 411, 1129, 473, 299, 912, 1488, 9, 360, 7203, 7619, 13, 520, 11685, 11426, 617, 764, 519, 2511, 986, 18, 7250, 35544, 17461, 46107, 289, 10107, 7574, 2533, 289, 19466, 27593, 434, 5500, 7574, 2533, 24158, 385, 6399, 6318, 16926, 16, 374, 281, 6175, 7664, 2514, 29836, 5781, 5993, 2543, 16, 46075, 282, 11097, 1045, 16, 15497, 7990, 309, 3425, 18, 439, 282, 16951, 1045, 14702, 12706, 16, 9725, 2339, 3175, 516, 1805, 282, 1760, 986, 289, 4419, 16, 10211, 25607, 289, 4521, 816, 16, 27, 5999, 24158, 385, 6399, 6318, 16926, 16, 374, 567, 10246, 13122, 22142, 3137, 13064, 29506, 4717, 4816, 5993, 26935, 411, 4534, 289, 41182, 18, 996, 16, 282, 2801, 1045, 282, 3198, 29836, 19527, 35876, 5308, 289, 1883, 21287, 335, 10143, 1767, 5121, 16, 374, 294, 2200, 2123, 17912, 475, 3417, 9, 411, 47569, 33176, 13442, 368, 726, 6984, 9224, 2110, 3952, 18, 3791, 12189, 4419, 3542, 4140, 16, 374, 40835, 549, 9224, 3050, 17359, 2756, 9402, 7019, 19965, 334, 37500, 14040, 4730, 27815, 18, 6592, 10656, 47589, 411, 3232, 5006, 391, 3127, 1295, 822, 16, 281, 6383, 779, 14702, 1760, 17, 1123, 1608, 5993, 2543, 281, 49453, 5925, 29633, 353, 349, 2418, 986, 18814, 1715, 282, 1272, 4570, 16, 5575, 2617, 32023, 282, 4317, 9, 360, 7203, 7619, 12048, 28641, 12706, 1279, 3436, 7418, 8664, 4436, 282, 6383, 1045, 18, 365, 4698, 3678, 16, 309, 37500, 8043, 3469, 5311, 292, 35403, 3968, 2636, 9224, 3050, 17359, 16, 2686, 5092, 289, 5502, 1888, 14006, 18, 24158, 385, 6399, 6318, 5273, 16, 374, 4778, 47060, 16, 3710, 4857, 309, 36700, 11265, 8884, 2533, 16, 1698, 953, 17992, 448, 35254, 18477, 282, 6648, 16, 34121, 43058, 17359, 1642, 289, 24535, 16574, 18, 3791, 309, 8884, 20499, 9478, 35403, 2132, 468, 289, 27528, 20335, 18, 3688, 2636, 9224, 3050, 17359, 16, 10398, 37500, 8043, 3469, 7921, 16, 895, 7869, 289, 294, 4310, 48202, 40514, 510, 2733, 16, 428, 15708, 7870, 36080, 18, 6592, 10656, 47589, 16986, 16, 282, 2801, 1045, 2496, 12706, 2261, 443, 2692, 986, 7640, 16, 23, 9, 322, 37014, 49129, 13988, 290, 10343, 4230, 4489, 292, 16, 367, 23088, 16, 24, 9, 36379, 322, 14525, 290, 41257, 14777, 23070, 10343, 4230, 553, 18, 2, 1, 87, 1456, 81, 2448, 30, 4408, 2064, 343, 334, 421, 3127, 684, 16, 21477, 309, 5674, 35374, 36875, 289, 36334, 309, 478, 11648, 1231, 582, 910, 5790, 591, 46900, 37827, 1633, 382, 289, 19403, 323, 39516, 2509, 16, 367, 3235, 924, 16, 764, 10367, 9870, 510, 282, 3507, 8192, 12819, 21982, 478, 682, 3460, 17638, 861, 31224, 30, 46326, 1032, 4120, 282, 3507, 8192, 12819, 1582, 2947, 1162, 21982, 478, 682, 3460, 17638, 861, 16612, 17, 46572, 16, 19922, 553, 16, 26359, 16, 49005, 289, 35070, 16, 5790, 477, 46941, 3746, 30, 282, 9212, 30166, 478, 3743, 447, 910, 2972, 7033, 424, 39765, 304, 478, 30381, 11670, 910, 2364, 10367, 9870, 16, 961, 3091, 5317, 1033, 1156, 30741, 7402, 1437, 2001, 18, 18687, 3193, 510, 4046, 394, 16, 9380, 265, 16, 37319, 16, 17302, 16, 9558, 448, 11262, 2664, 289, 935, 5548, 40869, 14875, 14630, 26878, 18698, 18, 16909, 2301, 9870, 11371, 9092, 16, 309, 3888, 411, 1129, 8166, 7953, 549, 10680, 18, 36795, 6149, 289, 16228, 281, 6409, 26957, 942, 309, 3614, 8296, 18, 478, 6207, 900, 516, 478, 682, 3460, 470, 282, 722, 9212, 13672, 3531, 41306, 15722, 16, 510, 4848, 478, 46088, 18, 8381, 470, 9128, 12130, 15352, 5319, 336, 18, 4534, 4137, 49537, 18, 510, 365, 803, 1045, 4424, 3091, 7790, 309, 421, 3127, 684, 5184, 2127, 40411, 18505, 36831, 12568, 381, 3182, 5545, 416, 14284, 5520, 861, 817, 1038, 4725, 9910, 26258, 9318, 478, 682, 10903, 9691, 910, 18804, 309, 5674, 35374, 36875, 32738, 16612, 680, 15803, 504, 2796, 1157, 324, 281, 478, 28919, 353, 381, 3182, 910, 367, 309, 7020, 9743, 478, 11648, 31655, 470, 510, 40565, 478, 16226, 910, 1029, 25562, 2361, 333, 6945, 21477, 478, 13610, 275, 948, 861, 824, 3163, 18500, 401, 16, 26428, 4119, 282, 478, 3743, 447, 17638, 470, 9914, 2568, 1147, 30613, 510, 282, 8316, 423, 263, 309, 4891, 1231, 582, 16, 282, 18511, 1674, 12152, 7541, 309, 18862, 3979, 1212, 37369, 298, 16, 282, 8920, 2106, 291, 1212, 21095, 289, 282, 421, 896, 3378, 1383, 264, 26370, 17, 597, 288, 1674, 3091, 5317, 4308, 1133, 541, 2533, 18, 41391, 478, 3743, 447, 17638, 470, 49537, 8566, 2678, 8051, 30031, 30741, 9206, 16, 27431, 37463, 289, 3140, 4534, 18, 478, 30461, 2023, 16, 374, 478, 682, 3460, 17638, 470, 510, 8511, 549, 29617, 9207, 5319, 910, 510, 1109, 44241, 21021, 20258, 38686, 18, 1598, 6566, 15455, 9870, 478, 18386, 18, 8381, 470, 26967, 518, 16, 961, 6874, 2828, 2626, 541, 478, 3743, 447, 470, 289, 309, 961, 8811, 10195 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5511, 9486, 802, 428, 6505, 43993, 16, 2686, 1033, 1939, 9, 11854, 475, 764, 6881, 16, 374, 6908, 35377, 16, 322, 3168, 6016, 1933, 2234, 5508, 16, 2955, 18, 1178, 2555, 986, 2158, 24829, 400, 11105, 17090, 519, 17787, 541, 31606, 13585, 4518, 7418, 367, 541, 12706, 651, 10608, 9, 4186, 2553, 16, 502, 282, 2801, 1045, 15811, 3585, 19255, 519, 3695, 9, 289, 4016, 7418, 8774, 18, 6754, 364, 839, 1749, 282, 803, 17691, 5823, 1033, 14355, 659, 318, 30, 39432, 1116, 17090, 519, 17787, 40379, 7640, 9, 36379, 11716, 5259, 986, 289, 687, 1912, 9, 1281, 17, 5493, 17, 1123, 1608, 18, 2511, 9, 31606, 289, 1658, 9, 12706, 12002, 16, 374, 9224, 1924, 3361, 519, 17787, 510, 481, 322, 687, 4369, 15131, 16, 515, 289, 2003, 18, 41651, 16, 374, 9402, 2900, 25870, 20264, 5775, 2466, 16891, 16279, 9, 41618, 40379, 24973, 368, 29916, 289, 48524, 16, 6015, 2728, 481, 309, 32373, 564, 4650, 1147, 28807, 1354, 289, 16148, 539, 474, 4139, 23182, 13963, 18, 365, 3106, 1888, 4284, 30434, 448, 1038, 28703, 414, 1033, 3968, 968, 28996, 36602, 2235, 289, 14909, 31014, 290, 5032, 18, 365, 2801, 1045, 639, 34377, 322, 2619, 3286, 6839, 15033, 16, 290, 2114, 10703, 9063, 478, 36625, 861, 365, 3232, 12904, 27593, 434, 5500, 7574, 2533, 478, 39170, 405, 17, 36375, 448, 3860, 19283, 19466, 470, 45378, 5024, 16, 334, 3279, 2496, 28826, 2439, 5856, 334, 3025, 4008, 12706, 43706, 1033, 4317, 9, 1110, 16, 1085, 294, 1760, 17912, 726, 9724, 1503, 10723, 18, 967, 803, 10711, 49176, 411, 1129, 473, 299, 912, 1488, 9, 360, 7203, 7619, 13, 520, 11685, 11426, 617, 764, 519, 2511, 986, 18, 7250, 35544, 17461, 46107, 289, 10107, 7574, 2533, 289, 19466, 27593, 434, 5500, 7574, 2533, 24158, 385, 6399, 6318, 16926, 16, 374, 281, 6175, 7664, 2514, 29836, 5781, 5993, 2543, 16, 46075, 282, 11097, 1045, 16, 15497, 7990, 309, 3425, 18, 439, 282, 16951, 1045, 14702, 12706, 16, 9725, 2339, 3175, 516, 1805, 282, 1760, 986, 289, 4419, 16, 10211, 25607, 289, 4521, 816, 16, 27, 5999, 24158, 385, 6399, 6318, 16926, 16, 374, 567, 10246, 13122, 22142, 3137, 13064, 29506, 4717, 4816, 5993, 26935, 411, 4534, 289, 41182, 18, 996, 16, 282, 2801, 1045, 282, 3198, 29836, 19527, 35876, 5308, 289, 1883, 21287, 335, 10143, 1767, 5121, 16, 374, 294, 2200, 2123, 17912, 475, 3417, 9, 411, 47569, 33176, 13442, 368, 726, 6984, 9224, 2110, 3952, 18, 3791, 12189, 4419, 3542, 4140, 16, 374, 40835, 549, 9224, 3050, 17359, 2756, 9402, 7019, 19965, 334, 37500, 14040, 4730, 27815, 18, 6592, 10656, 47589, 411, 3232, 5006, 391, 3127, 1295, 822, 16, 281, 6383, 779, 14702, 1760, 17, 1123, 1608, 5993, 2543, 281, 49453, 5925, 29633, 353, 349, 2418, 986, 18814, 1715, 282, 1272, 4570, 16, 5575, 2617, 32023, 282, 4317, 9, 360, 7203, 7619, 12048, 28641, 12706, 1279, 3436, 7418, 8664, 4436, 282, 6383, 1045, 18, 365, 4698, 3678, 16, 309, 37500, 8043, 3469, 5311, 292, 35403, 3968, 2636, 9224, 3050, 17359, 16, 2686, 5092, 289, 5502, 1888, 14006, 18, 24158, 385, 6399, 6318, 5273, 16, 374, 4778, 47060, 16, 3710, 4857, 309, 36700, 11265, 8884, 2533, 16, 1698, 953, 17992, 448, 35254, 18477, 282, 6648, 16, 34121, 43058, 17359, 1642, 289, 24535, 16574, 18, 3791, 309, 8884, 20499, 9478, 35403, 2132, 468, 289, 27528, 20335, 18, 3688, 2636, 9224, 3050, 17359, 16, 10398, 37500, 8043, 3469, 7921, 16, 895, 7869, 289, 294, 4310, 48202, 40514, 510, 2733, 16, 428, 15708, 7870, 36080, 18, 6592, 10656, 47589, 16986, 16, 282, 2801, 1045, 2496, 12706, 2261, 443, 2692, 986, 7640, 16, 23, 9, 322, 37014, 49129, 13988, 290, 10343, 4230, 4489, 292, 16, 367, 23088, 16, 24, 9, 36379, 322, 14525, 290, 41257, 14777, 23070, 10343, 4230, 553, 18, 2, 1, 87, 1456, 81, 2448, 30, 4408, 2064, 343, 334, 421, 3127, 684, 16, 21477, 309, 5674, 35374, 36875, 289, 36334, 309, 478, 11648, 1231, 582, 910, 5790, 591, 46900, 37827, 1633, 382, 289, 19403, 323, 39516, 2509, 16, 367, 3235, 924, 16, 764, 10367, 9870, 510, 282, 3507, 8192, 12819, 21982, 478, 682, 3460, 17638, 861, 31224, 30, 46326, 1032, 4120, 282, 3507, 8192, 12819, 1582, 2947, 1162, 21982, 478, 682, 3460, 17638, 861, 16612, 17, 46572, 16, 19922, 553, 16, 26359, 16, 49005, 289, 35070, 16, 5790, 477, 46941, 3746, 30, 282, 9212, 30166, 478, 3743, 447, 910, 2972, 7033, 424, 39765, 304, 478, 30381, 11670, 910, 2364, 10367, 9870, 16, 961, 3091, 5317, 1033, 1156, 30741, 7402, 1437, 2001, 18, 18687, 3193, 510, 4046, 394, 16, 9380, 265, 16, 37319, 16, 17302, 16, 9558, 448, 11262, 2664, 289, 935, 5548, 40869, 14875, 14630, 26878, 18698, 18, 16909, 2301, 9870, 11371, 9092, 16, 309, 3888, 411, 1129, 8166, 7953, 549, 10680, 18, 36795, 6149, 289, 16228, 281, 6409, 26957, 942, 309, 3614, 8296, 18, 478, 6207, 900, 516, 478, 682, 3460, 470, 282, 722, 9212, 13672, 3531, 41306, 15722, 16, 510, 4848, 478, 46088, 18, 8381, 470, 9128, 12130, 15352, 5319, 336, 18, 4534, 4137, 49537, 18, 510, 365, 803, 1045, 4424, 3091, 7790, 309, 421, 3127, 684, 5184, 2127, 40411, 18505, 36831, 12568, 381, 3182, 5545, 416, 14284, 5520, 861, 817, 1038, 4725, 9910, 26258, 9318, 478, 682, 10903, 9691, 910, 18804, 309, 5674, 35374, 36875, 32738, 16612, 680, 15803, 504, 2796, 1157, 324, 281, 478, 28919, 353, 381, 3182, 910, 367, 309, 7020, 9743, 478, 11648, 31655, 470, 510, 40565, 478, 16226, 910, 1029, 25562, 2361, 333, 6945, 21477, 478, 13610, 275, 948, 861, 824, 3163, 18500, 401, 16, 26428, 4119, 282, 478, 3743, 447, 17638, 470, 9914, 2568, 1147, 30613, 510, 282, 8316, 423, 263, 309, 4891, 1231, 582, 16, 282, 18511, 1674, 12152, 7541, 309, 18862, 3979, 1212, 37369, 298, 16, 282, 8920, 2106, 291, 1212, 21095, 289, 282, 421, 896, 3378, 1383, 264, 26370, 17, 597, 288, 1674, 3091, 5317, 4308, 1133, 541, 2533, 18, 41391, 478, 3743, 447, 17638, 470, 49537, 8566, 2678, 8051, 30031, 30741, 9206, 16, 27431, 37463, 289, 3140, 4534, 18, 478, 30461, 2023, 16, 374, 478, 682, 3460, 17638, 470, 510, 8511, 549, 29617, 9207, 5319, 910, 510, 1109, 44241, 21021, 20258, 38686, 18, 1598, 6566, 15455, 9870, 478, 18386, 18, 8381, 470, 26967, 518, 16, 961, 6874, 2828, 2626, 541, 478, 3743, 447, 470, 289, 309, 961, 8811, 10195 ]
[ 2657, 1886, 2419, 18, 4246, 508, 1243, 526, 478, 563, 645, 17594, 43360, 944, 274, 2776, 1496, 401, 470, 34889, 5343, 30, 421, 3127, 684, 5637, 2611, 16, 8851, 38260, 31168, 265, 32309, 4900, 2592, 324, 4534, 16, 18407, 8165, 12526, 19415, 3281, 4534, 17, 12840, 289, 722, 22378, 16, 44329, 18864, 37307, 11128, 6454, 290, 21663, 3507, 9715, 36831, 3930, 24905, 1032, 4120, 1833, 1293, 11128, 6454, 282, 14994, 292, 14630, 26878, 18698, 18, 16424, 16110, 14875, 10539, 10547, 16, 2588, 726, 10469, 47484, 29098, 447, 16, 7312, 1248, 5502, 11798, 289, 3741, 14297, 10208, 16, 367, 411, 2598, 14994, 942, 4976, 1269, 22188, 510, 2805, 282, 20844, 11128, 1015, 540, 16, 1904, 2060, 1352, 7522, 18, 640, 870, 26359, 6332, 32288, 18, 478, 563, 645, 17594, 43360, 1014, 19318, 2776, 1496, 401, 470, 4246, 508, 1243, 526, 16986, 773, 18, 17041, 320, 292, 38861, 33091, 9440, 4309, 36358, 323, 439, 299, 1231, 334, 25141, 1036, 825, 28607, 12952, 1012, 394, 513, 3583, 510, 2236, 411, 10235, 26721, 7583, 478, 16875, 38005, 910, 1372, 2989, 282, 7545, 3314, 36800, 10407, 2244, 18, 985, 289, 1272, 3322, 11241, 505, 13124, 510, 478, 22388, 499, 5141, 470, 289, 478, 732, 21926, 910, 510, 478, 563, 645, 17594, 28834, 322, 282, 6409, 3538, 27147, 507, 18, 365, 5214, 45400, 935, 322, 583, 11175, 10848, 986, 360, 24287, 16, 367, 505, 30853, 349, 25958, 986, 1354, 16, 3876, 3359, 282, 2100, 12524, 891, 282, 4147, 263, 18, 20705, 454, 942, 840, 4976, 282, 6900, 12980, 5674, 13104, 24674, 18, 478, 16802, 950, 381, 3182, 470, 640, 5674, 35374, 575, 36875, 43957, 1595, 21477, 478, 16802, 950, 381, 3182, 470, 7572, 1157, 16612, 680, 15803, 504, 2796, 1157, 324, 473, 40512, 1869, 17, 22510, 746, 421, 1916, 9899, 814, 20705, 343, 282, 40968, 693, 2640, 310, 37399, 510, 4153, 11306, 33371, 32738, 16612, 680, 504, 2796, 1157, 324, 289, 697, 35143, 510, 478, 9412, 973, 31749, 742, 375, 1275, 910, 961, 726, 1269, 986, 7393, 428, 4901, 13713, 13388, 549, 4786, 5810, 769, 1106, 11295, 7930, 385, 76, 559, 4886, 14207, 786, 6445, 573, 18, 640, 5137, 26888, 19859, 50074, 16, 2839, 2922, 46404, 16, 1241, 2381, 12469, 289, 18563, 19869, 36490, 33354, 2625, 5901, 282, 13904, 4946, 23635, 5492, 18, 824, 4826, 21477, 10261, 3568, 931, 401, 18, 6363, 37827, 1633, 382, 309, 10276, 1165, 8621, 478, 1098, 383, 8488, 470, 473, 9989, 13, 365, 4301, 6246, 1961, 8012, 478, 3743, 447, 470, 14413, 289, 11123, 4415, 7541, 14382, 32896, 609, 473, 47552, 17, 6385, 451, 14413, 478, 1009, 317, 380, 17, 9782, 910, 367, 4373, 5184, 289, 29197, 755, 478, 682, 4593, 50073, 624, 23655, 287, 640, 1437, 9979, 42295, 477, 1360, 14674, 18540, 5793, 334, 16612, 680, 15803, 8773, 401, 510, 4084, 355, 13590, 11174, 1161, 1624, 7265, 37008, 4414, 3346, 2331, 8773, 401, 282, 15992, 478, 40512, 1869, 11441, 6507, 7541, 910, 11778, 4397, 304, 4676, 29257, 478, 8510, 32686, 2502, 1602, 470, 281, 1236, 416, 2387, 1604, 405, 282, 47408, 15992, 18, 18206, 8192, 282, 667, 18, 3161, 282, 7399, 962, 23655, 287, 773, 18, 439, 18, 563, 18, 20021, 18, 6315, 4415, 289, 4889, 298, 34489, 9810, 4059, 14811, 512, 13736, 266, 281, 46900, 37827, 1633, 382, 510, 27193, 5184, 718, 4889, 6166, 45176, 343, 396, 25128, 910, 478, 29, 8318, 12235, 282, 4722, 1205, 11709, 3321, 2617, 1757, 282, 21985, 4397, 6229, 1742, 281, 4781, 807, 1318, 304, 478, 1098, 383, 8488, 861, 967, 803, 583, 4059, 14811, 512, 16, 309, 14540, 2024, 29069, 478, 1295, 27461, 910, 367, 1038, 6793, 478, 1916, 1905, 451, 12370, 910, 1314, 8105, 1211, 28286, 4676, 9756, 281, 3498, 4325, 16530, 7848, 478, 983, 2460, 807, 1318, 861, 31309, 8192, 282, 9878, 23655, 1940, 547, 5214, 478, 21116, 12103, 2451, 5310, 470, 309, 385, 6399, 1740, 680, 6394, 289, 15516, 282, 3405, 18, 646, 43898, 2203, 31343, 12396, 6589, 24893, 3881, 354, 289, 10261, 7659, 488, 1324, 37082, 281, 1479, 24387, 29816, 323, 38013, 680, 1624, 753, 8346, 290, 8331, 1360, 17291, 18, 1870, 345, 10226, 2382, 10329, 27151, 4481, 9413, 282, 12396, 582, 16, 5352, 1265, 545, 3788, 290, 970, 16, 428, 36419, 2961, 12171, 18477, 289, 3857, 8831, 965, 282, 6450, 22439, 4349, 16, 428, 40707, 3539, 5331, 46133, 16, 367, 1038, 290, 3705, 1634, 8487, 293, 510, 1185, 22746, 1052, 10137, 289, 478, 5853, 4415, 1353, 434, 47903, 470, 8774, 18, 2052, 297, 42063, 9631, 10226, 289, 30038, 1747, 282, 3405, 18, 646, 282, 23655, 1940, 547, 9510, 1312, 732, 8510, 510, 23655, 45737, 5500, 773, 18, 4386, 18, 17041, 320, 292, 38861, 18, 5585, 842, 14564, 39516, 291, 23655, 34002, 30038, 478, 618, 791, 460, 470, 6096, 25100, 12017, 42295, 281, 19403, 323, 39516, 291, 225, 1116, 510, 9631, 2922, 478, 37666, 837, 470, 289, 27193, 11202, 11358, 18013, 13388, 416, 24893, 18, 2949, 10137, 16, 290, 2114, 7725, 1157, 6597, 475, 16, 39516, 291, 21269, 290, 1634, 23626, 282, 4889, 289, 309, 17565, 510, 3057, 16, 282, 9776, 12536, 478, 4925, 5459, 388, 470, 289, 478, 1098, 18920, 6284, 861, 18678, 304, 3193, 4040, 13341, 478, 34803, 2204, 470, 309, 1241, 1637, 547, 9057, 554, 18, 14587, 3247, 32435, 8501, 2009, 4889, 12510, 2052, 3464, 8053, 289, 6370, 14543, 272, 1921, 48092, 10544, 1810, 1634, 16231, 10143, 5308, 4090, 4889, 289, 14104, 8076, 8501, 2009, 4889, 289, 23655, 287, 46569, 2052, 3464, 33818, 289, 13536, 608, 4640, 401, 18, 4663, 28910, 276, 43957, 282, 1262, 273, 281, 35287, 32506, 35143, 18, 996, 16, 28910, 451, 6793, 2052, 3464, 33818, 478, 684, 1985, 3427, 470, 43957, 1974, 281, 6116, 1134, 722, 16231, 30, 27743, 7314, 1269, 19220, 478, 780, 34972, 470, 2151, 3451, 24141, 35489, 289, 478, 46366, 12101, 1119, 470, 13536, 33025, 3340, 18, 7720, 14850, 18222, 282, 41305, 8501, 2009, 4889, 309, 19608, 291, 1212, 37369, 298, 18, 2, 1, 87, 1456, 81, 2448, 30, 7148, 13023, 451, 478, 50157, 266, 470, 309, 29510, 14597, 19121, 310, 3187, 3589, 478, 13781, 861, 18098, 451, 774, 309, 1595, 2948, 28773, 32124, 28635, 2502, 1736, 2169, 778, 18, 365, 19559, 35034, 478, 13781, 470, 11932, 435, 478, 38900, 1699, 306, 910, 4944, 29707, 483, 537, 281, 5045, 322, 3332, 706, 16, 367, 478, 1098, 512, 470, 33513, 309, 3177, 27027, 1702, 313, 2818, 478, 13781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2657, 1886, 2419, 18, 4246, 508, 1243, 526, 478, 563, 645, 17594, 43360, 944, 274, 2776, 1496, 401, 470, 34889, 5343, 30, 421, 3127, 684, 5637, 2611, 16, 8851, 38260, 31168, 265, 32309, 4900, 2592, 324, 4534, 16, 18407, 8165, 12526, 19415, 3281, 4534, 17, 12840, 289, 722, 22378, 16, 44329, 18864, 37307, 11128, 6454, 290, 21663, 3507, 9715, 36831, 3930, 24905, 1032, 4120, 1833, 1293, 11128, 6454, 282, 14994, 292, 14630, 26878, 18698, 18, 16424, 16110, 14875, 10539, 10547, 16, 2588, 726, 10469, 47484, 29098, 447, 16, 7312, 1248, 5502, 11798, 289, 3741, 14297, 10208, 16, 367, 411, 2598, 14994, 942, 4976, 1269, 22188, 510, 2805, 282, 20844, 11128, 1015, 540, 16, 1904, 2060, 1352, 7522, 18, 640, 870, 26359, 6332, 32288, 18, 478, 563, 645, 17594, 43360, 1014, 19318, 2776, 1496, 401, 470, 4246, 508, 1243, 526, 16986, 773, 18, 17041, 320, 292, 38861, 33091, 9440, 4309, 36358, 323, 439, 299, 1231, 334, 25141, 1036, 825, 28607, 12952, 1012, 394, 513, 3583, 510, 2236, 411, 10235, 26721, 7583, 478, 16875, 38005, 910, 1372, 2989, 282, 7545, 3314, 36800, 10407, 2244, 18, 985, 289, 1272, 3322, 11241, 505, 13124, 510, 478, 22388, 499, 5141, 470, 289, 478, 732, 21926, 910, 510, 478, 563, 645, 17594, 28834, 322, 282, 6409, 3538, 27147, 507, 18, 365, 5214, 45400, 935, 322, 583, 11175, 10848, 986, 360, 24287, 16, 367, 505, 30853, 349, 25958, 986, 1354, 16, 3876, 3359, 282, 2100, 12524, 891, 282, 4147, 263, 18, 20705, 454, 942, 840, 4976, 282, 6900, 12980, 5674, 13104, 24674, 18, 478, 16802, 950, 381, 3182, 470, 640, 5674, 35374, 575, 36875, 43957, 1595, 21477, 478, 16802, 950, 381, 3182, 470, 7572, 1157, 16612, 680, 15803, 504, 2796, 1157, 324, 473, 40512, 1869, 17, 22510, 746, 421, 1916, 9899, 814, 20705, 343, 282, 40968, 693, 2640, 310, 37399, 510, 4153, 11306, 33371, 32738, 16612, 680, 504, 2796, 1157, 324, 289, 697, 35143, 510, 478, 9412, 973, 31749, 742, 375, 1275, 910, 961, 726, 1269, 986, 7393, 428, 4901, 13713, 13388, 549, 4786, 5810, 769, 1106, 11295, 7930, 385, 76, 559, 4886, 14207, 786, 6445, 573, 18, 640, 5137, 26888, 19859, 50074, 16, 2839, 2922, 46404, 16, 1241, 2381, 12469, 289, 18563, 19869, 36490, 33354, 2625, 5901, 282, 13904, 4946, 23635, 5492, 18, 824, 4826, 21477, 10261, 3568, 931, 401, 18, 6363, 37827, 1633, 382, 309, 10276, 1165, 8621, 478, 1098, 383, 8488, 470, 473, 9989, 13, 365, 4301, 6246, 1961, 8012, 478, 3743, 447, 470, 14413, 289, 11123, 4415, 7541, 14382, 32896, 609, 473, 47552, 17, 6385, 451, 14413, 478, 1009, 317, 380, 17, 9782, 910, 367, 4373, 5184, 289, 29197, 755, 478, 682, 4593, 50073, 624, 23655, 287, 640, 1437, 9979, 42295, 477, 1360, 14674, 18540, 5793, 334, 16612, 680, 15803, 8773, 401, 510, 4084, 355, 13590, 11174, 1161, 1624, 7265, 37008, 4414, 3346, 2331, 8773, 401, 282, 15992, 478, 40512, 1869, 11441, 6507, 7541, 910, 11778, 4397, 304, 4676, 29257, 478, 8510, 32686, 2502, 1602, 470, 281, 1236, 416, 2387, 1604, 405, 282, 47408, 15992, 18, 18206, 8192, 282, 667, 18, 3161, 282, 7399, 962, 23655, 287, 773, 18, 439, 18, 563, 18, 20021, 18, 6315, 4415, 289, 4889, 298, 34489, 9810, 4059, 14811, 512, 13736, 266, 281, 46900, 37827, 1633, 382, 510, 27193, 5184, 718, 4889, 6166, 45176, 343, 396, 25128, 910, 478, 29, 8318, 12235, 282, 4722, 1205, 11709, 3321, 2617, 1757, 282, 21985, 4397, 6229, 1742, 281, 4781, 807, 1318, 304, 478, 1098, 383, 8488, 861, 967, 803, 583, 4059, 14811, 512, 16, 309, 14540, 2024, 29069, 478, 1295, 27461, 910, 367, 1038, 6793, 478, 1916, 1905, 451, 12370, 910, 1314, 8105, 1211, 28286, 4676, 9756, 281, 3498, 4325, 16530, 7848, 478, 983, 2460, 807, 1318, 861, 31309, 8192, 282, 9878, 23655, 1940, 547, 5214, 478, 21116, 12103, 2451, 5310, 470, 309, 385, 6399, 1740, 680, 6394, 289, 15516, 282, 3405, 18, 646, 43898, 2203, 31343, 12396, 6589, 24893, 3881, 354, 289, 10261, 7659, 488, 1324, 37082, 281, 1479, 24387, 29816, 323, 38013, 680, 1624, 753, 8346, 290, 8331, 1360, 17291, 18, 1870, 345, 10226, 2382, 10329, 27151, 4481, 9413, 282, 12396, 582, 16, 5352, 1265, 545, 3788, 290, 970, 16, 428, 36419, 2961, 12171, 18477, 289, 3857, 8831, 965, 282, 6450, 22439, 4349, 16, 428, 40707, 3539, 5331, 46133, 16, 367, 1038, 290, 3705, 1634, 8487, 293, 510, 1185, 22746, 1052, 10137, 289, 478, 5853, 4415, 1353, 434, 47903, 470, 8774, 18, 2052, 297, 42063, 9631, 10226, 289, 30038, 1747, 282, 3405, 18, 646, 282, 23655, 1940, 547, 9510, 1312, 732, 8510, 510, 23655, 45737, 5500, 773, 18, 4386, 18, 17041, 320, 292, 38861, 18, 5585, 842, 14564, 39516, 291, 23655, 34002, 30038, 478, 618, 791, 460, 470, 6096, 25100, 12017, 42295, 281, 19403, 323, 39516, 291, 225, 1116, 510, 9631, 2922, 478, 37666, 837, 470, 289, 27193, 11202, 11358, 18013, 13388, 416, 24893, 18, 2949, 10137, 16, 290, 2114, 7725, 1157, 6597, 475, 16, 39516, 291, 21269, 290, 1634, 23626, 282, 4889, 289, 309, 17565, 510, 3057, 16, 282, 9776, 12536, 478, 4925, 5459, 388, 470, 289, 478, 1098, 18920, 6284, 861, 18678, 304, 3193, 4040, 13341, 478, 34803, 2204, 470, 309, 1241, 1637, 547, 9057, 554, 18, 14587, 3247, 32435, 8501, 2009, 4889, 12510, 2052, 3464, 8053, 289, 6370, 14543, 272, 1921, 48092, 10544, 1810, 1634, 16231, 10143, 5308, 4090, 4889, 289, 14104, 8076, 8501, 2009, 4889, 289, 23655, 287, 46569, 2052, 3464, 33818, 289, 13536, 608, 4640, 401, 18, 4663, 28910, 276, 43957, 282, 1262, 273, 281, 35287, 32506, 35143, 18, 996, 16, 28910, 451, 6793, 2052, 3464, 33818, 478, 684, 1985, 3427, 470, 43957, 1974, 281, 6116, 1134, 722, 16231, 30, 27743, 7314, 1269, 19220, 478, 780, 34972, 470, 2151, 3451, 24141, 35489, 289, 478, 46366, 12101, 1119, 470, 13536, 33025, 3340, 18, 7720, 14850, 18222, 282, 41305, 8501, 2009, 4889, 309, 19608, 291, 1212, 37369, 298, 18, 2, 1, 87, 1456, 81, 2448, 30, 7148, 13023, 451, 478, 50157, 266, 470, 309, 29510, 14597, 19121, 310, 3187, 3589, 478, 13781, 861, 18098, 451, 774, 309, 1595, 2948, 28773, 32124, 28635, 2502, 1736, 2169, 778, 18, 365, 19559, 35034, 478, 13781, 470, 11932, 435, 478, 38900, 1699, 306, 910, 4944, 29707, 483, 537, 281, 5045, 322, 3332, 706, 16, 367, 478, 1098, 512, 470, 33513, 309, 3177, 27027, 1702, 313, 2818, 478, 13781 ]
[ 861, 31224, 30, 27064, 283, 17767, 334, 26083, 17370, 9964, 322, 757, 322, 4590, 506, 8111, 536, 18, 478, 13781, 910, 1011, 3437, 46512, 31554, 554, 10313, 626, 7927, 1871, 9764, 16, 25595, 576, 15092, 14393, 25743, 19311, 18, 17791, 16, 428, 289, 478, 50157, 266, 910, 1029, 1011, 3577, 264, 1602, 282, 21273, 281, 478, 3096, 399, 5497, 982, 635, 470, 289, 478, 563, 455, 342, 496, 1614, 332, 13432, 470, 19121, 310, 1642, 14118, 18, 14587, 7130, 37358, 16, 428, 481, 2669, 5106, 16, 12357, 309, 30382, 18, 19770, 3583, 20539, 23095, 1166, 16432, 16, 289, 309, 32055, 20537, 7737, 505, 21001, 18, 985, 3757, 34878, 28635, 2502, 1736, 2169, 778, 6089, 9871, 304, 18593, 2314, 16, 289, 6370, 322, 6336, 905, 10230, 21285, 651, 430, 30, 20, 18, 14097, 8093, 309, 1324, 2466, 289, 3872, 30670, 4436, 40243, 16, 453, 374, 2081, 448, 774, 276, 898, 3872, 7514, 318, 18, 2112, 9163, 4506, 432, 24627, 291, 6729, 40844, 5070, 536, 1793, 966, 4744, 1212, 32181, 32252, 27585, 3495, 344, 1452, 367, 18, 740, 322, 10469, 41445, 478, 618, 16946, 17, 4348, 345, 731, 470, 8528, 3497, 319, 282, 38756, 40291, 16, 428, 3720, 24142, 3930, 4522, 364, 16432, 17701, 651, 491, 30, 21, 18, 7409, 2849, 4446, 4732, 939, 7556, 18, 740, 827, 5906, 3946, 8426, 404, 2255, 328, 2664, 773, 3225, 322, 3147, 16, 502, 1833, 1011, 1047, 745, 567, 2992, 445, 3221, 9529, 2948, 18, 1789, 1866, 403, 342, 18204, 33130, 309, 9871, 411, 17, 431, 7889, 289, 13060, 3389, 27585, 3495, 344, 4086, 651, 491, 30, 22, 18, 5403, 401, 7927, 35520, 2502, 1736, 2169, 718, 3895, 322, 24065, 14673, 3536, 4287, 6863, 4024, 1624, 515, 309, 1177, 445, 40844, 322, 2564, 36532, 774, 382, 2314, 17701, 18, 2112, 978, 656, 345, 19249, 873, 16, 374, 7291, 16, 48056, 965, 289, 9115, 6563, 309, 8999, 7646, 7893, 281, 4258, 5514, 18, 740, 2255, 30393, 1528, 523, 16, 309, 8023, 25474, 16559, 6363, 1258, 320, 5486, 45300, 319, 6816, 602, 1090, 405, 322, 7737, 18, 3877, 2330, 7124, 1939, 17, 25822, 343, 19911, 455, 281, 4506, 432, 5514, 18, 640, 4038, 4093, 2516, 17514, 12067, 756, 4446, 20137, 28268, 15469, 2260, 323, 16, 515, 935, 10793, 6029, 27585, 4059, 3340, 3495, 344, 1452, 3508, 309, 478, 22878, 15676, 861, 9570, 33520, 4749, 31515, 478, 50157, 354, 470, 27349, 14499, 774, 304, 2502, 1736, 2169, 718, 16, 1029, 492, 16, 2505, 7941, 842, 282, 349, 6526, 16, 5662, 271, 309, 478, 293, 35100, 4762, 861, 25021, 292, 478, 50157, 354, 470, 3895, 322, 1531, 364, 7550, 421, 6041, 712, 1624, 515, 602, 1090, 405, 505, 2092, 948, 18728, 2077, 18, 9570, 1011, 478, 643, 38120, 470, 24163, 624, 16, 785, 3495, 344, 1452, 13190, 364, 31328, 21500, 27585, 3584, 291, 931, 401, 1624, 3702, 4445, 4944, 19608, 42932, 1624, 1595, 9700, 7243, 36173, 21066, 324, 651, 1032, 30, 22, 18, 8353, 451, 24627, 26250, 2333, 46404, 852, 1408, 6310, 10599, 1525, 18, 365, 19559, 12665, 10133, 1251, 22567, 478, 13781, 470, 289, 478, 38900, 1699, 339, 910, 309, 1029, 411, 4534, 9665, 9216, 15352, 3623, 28604, 4944, 14915, 489, 8544, 18, 817, 1559, 28176, 2586, 22288, 18389, 16, 1696, 764, 5943, 286, 36440, 778, 26058, 309, 478, 618, 987, 263, 17, 25769, 328, 470, 281, 12070, 8300, 17799, 18319, 291, 1275, 12097, 29707, 483, 367, 16, 40653, 660, 312, 2822, 281, 1524, 3334, 14497, 17983, 18, 5043, 16, 13446, 19449, 21912, 265, 735, 360, 478, 38900, 1699, 274, 470, 322, 9789, 411, 17, 431, 14236, 282, 505, 5271, 5689, 23305, 5856, 1543, 399, 486, 512, 18, 5850, 709, 1176, 1651, 14879, 324, 1465, 16, 1029, 282, 2343, 4183, 10485, 7609, 35335, 778, 30639, 281, 18774, 2529, 9248, 7165, 16, 515, 322, 1033, 924, 18, 30212, 5561, 329, 478, 38900, 1699, 274, 470, 1038, 41490, 47683, 1624, 9810, 20828, 2506, 1624, 6363, 2787, 447, 7960, 11420, 365, 6031, 29707, 483, 7563, 282, 3800, 8182, 14186, 303, 401, 289, 1307, 28772, 11088, 33385, 756, 1624, 1029, 282, 3405, 779, 31112, 282, 28604, 18, 459, 1373, 575, 2581, 811, 1763, 331, 9439, 15277, 3376, 5, 478, 38900, 27472, 470, 575, 21035, 2236, 411, 13764, 17370, 9964, 16, 1830, 289, 6088, 309, 16876, 2468, 18, 478, 1098, 512, 470, 33513, 309, 3177, 27027, 1702, 313, 2818, 478, 13781, 470, 477, 12932, 430, 30, 22, 16, 9258, 1815, 774, 349, 10384, 7264, 519, 3915, 6740, 10485, 7609, 6258, 22528, 21916, 303, 15591, 301, 18, 33728, 3541, 16, 7005, 16287, 289, 2393, 7036, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 20731, 5978, 15134, 282, 3580, 16, 2006, 27476, 448, 10191, 2985, 3317, 9309, 16, 428, 8391, 282, 3580, 17, 597, 288, 1674, 16, 4723, 42507, 8889, 282, 4579, 10375, 16, 374, 2240, 749, 10960, 510, 281, 4055, 3750, 334, 491, 3990, 309, 870, 3586, 32265, 21487, 20653, 478, 16744, 346, 470, 8501, 2009, 4889, 478, 1605, 405, 413, 2356, 861, 31224, 30, 677, 6491, 478, 16744, 346, 470, 22075, 294, 1354, 1631, 510, 322, 687, 3477, 6343, 11579, 4921, 16, 4878, 2497, 3596, 3595, 21816, 289, 10363, 411, 2069, 1013, 269, 1042, 18, 7594, 16, 15089, 7050, 10392, 4118, 26782, 39021, 2422, 16, 8103, 478, 389, 2000, 4283, 470, 289, 26535, 18, 996, 16, 294, 7555, 16, 567, 1514, 2968, 2702, 43909, 44456, 8509, 1166, 952, 7447, 315, 16, 309, 1639, 942, 4976, 8501, 1924, 16, 47466, 23310, 16, 26914, 918, 290, 25784, 32394, 18, 9639, 1590, 269, 912, 289, 282, 1175, 510, 281, 4479, 779, 282, 4447, 10705, 473, 315, 5511, 282, 3507, 13, 7312, 22481, 20653, 478, 16744, 346, 470, 8501, 2009, 4889, 478, 1605, 405, 413, 2356, 910, 1029, 10201, 16365, 4095, 9440, 2477, 289, 309, 5230, 9616, 16, 515, 4573, 396, 502, 16, 428, 5067, 3660, 2915, 309, 13612, 13844, 18, 478, 4348, 40159, 16365, 16, 961, 840, 6026, 8051, 289, 17705, 282, 1175, 16, 16365, 3531, 16, 19522, 16, 41306, 16, 961, 1698, 8830, 475, 28221, 1923, 290, 970, 16, 374, 2174, 10392, 3878, 4889, 910, 510, 10703, 478, 46088, 18, 8381, 470, 30918, 2016, 478, 1605, 405, 413, 2300, 470, 25486, 4414, 1285, 1310, 286, 18, 10118, 16, 334, 722, 4734, 16, 753, 4889, 9302, 918, 29690, 4010, 17, 299, 3003, 30, 478, 4441, 16, 4818, 16, 3240 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 861, 31224, 30, 27064, 283, 17767, 334, 26083, 17370, 9964, 322, 757, 322, 4590, 506, 8111, 536, 18, 478, 13781, 910, 1011, 3437, 46512, 31554, 554, 10313, 626, 7927, 1871, 9764, 16, 25595, 576, 15092, 14393, 25743, 19311, 18, 17791, 16, 428, 289, 478, 50157, 266, 910, 1029, 1011, 3577, 264, 1602, 282, 21273, 281, 478, 3096, 399, 5497, 982, 635, 470, 289, 478, 563, 455, 342, 496, 1614, 332, 13432, 470, 19121, 310, 1642, 14118, 18, 14587, 7130, 37358, 16, 428, 481, 2669, 5106, 16, 12357, 309, 30382, 18, 19770, 3583, 20539, 23095, 1166, 16432, 16, 289, 309, 32055, 20537, 7737, 505, 21001, 18, 985, 3757, 34878, 28635, 2502, 1736, 2169, 778, 6089, 9871, 304, 18593, 2314, 16, 289, 6370, 322, 6336, 905, 10230, 21285, 651, 430, 30, 20, 18, 14097, 8093, 309, 1324, 2466, 289, 3872, 30670, 4436, 40243, 16, 453, 374, 2081, 448, 774, 276, 898, 3872, 7514, 318, 18, 2112, 9163, 4506, 432, 24627, 291, 6729, 40844, 5070, 536, 1793, 966, 4744, 1212, 32181, 32252, 27585, 3495, 344, 1452, 367, 18, 740, 322, 10469, 41445, 478, 618, 16946, 17, 4348, 345, 731, 470, 8528, 3497, 319, 282, 38756, 40291, 16, 428, 3720, 24142, 3930, 4522, 364, 16432, 17701, 651, 491, 30, 21, 18, 7409, 2849, 4446, 4732, 939, 7556, 18, 740, 827, 5906, 3946, 8426, 404, 2255, 328, 2664, 773, 3225, 322, 3147, 16, 502, 1833, 1011, 1047, 745, 567, 2992, 445, 3221, 9529, 2948, 18, 1789, 1866, 403, 342, 18204, 33130, 309, 9871, 411, 17, 431, 7889, 289, 13060, 3389, 27585, 3495, 344, 4086, 651, 491, 30, 22, 18, 5403, 401, 7927, 35520, 2502, 1736, 2169, 718, 3895, 322, 24065, 14673, 3536, 4287, 6863, 4024, 1624, 515, 309, 1177, 445, 40844, 322, 2564, 36532, 774, 382, 2314, 17701, 18, 2112, 978, 656, 345, 19249, 873, 16, 374, 7291, 16, 48056, 965, 289, 9115, 6563, 309, 8999, 7646, 7893, 281, 4258, 5514, 18, 740, 2255, 30393, 1528, 523, 16, 309, 8023, 25474, 16559, 6363, 1258, 320, 5486, 45300, 319, 6816, 602, 1090, 405, 322, 7737, 18, 3877, 2330, 7124, 1939, 17, 25822, 343, 19911, 455, 281, 4506, 432, 5514, 18, 640, 4038, 4093, 2516, 17514, 12067, 756, 4446, 20137, 28268, 15469, 2260, 323, 16, 515, 935, 10793, 6029, 27585, 4059, 3340, 3495, 344, 1452, 3508, 309, 478, 22878, 15676, 861, 9570, 33520, 4749, 31515, 478, 50157, 354, 470, 27349, 14499, 774, 304, 2502, 1736, 2169, 718, 16, 1029, 492, 16, 2505, 7941, 842, 282, 349, 6526, 16, 5662, 271, 309, 478, 293, 35100, 4762, 861, 25021, 292, 478, 50157, 354, 470, 3895, 322, 1531, 364, 7550, 421, 6041, 712, 1624, 515, 602, 1090, 405, 505, 2092, 948, 18728, 2077, 18, 9570, 1011, 478, 643, 38120, 470, 24163, 624, 16, 785, 3495, 344, 1452, 13190, 364, 31328, 21500, 27585, 3584, 291, 931, 401, 1624, 3702, 4445, 4944, 19608, 42932, 1624, 1595, 9700, 7243, 36173, 21066, 324, 651, 1032, 30, 22, 18, 8353, 451, 24627, 26250, 2333, 46404, 852, 1408, 6310, 10599, 1525, 18, 365, 19559, 12665, 10133, 1251, 22567, 478, 13781, 470, 289, 478, 38900, 1699, 339, 910, 309, 1029, 411, 4534, 9665, 9216, 15352, 3623, 28604, 4944, 14915, 489, 8544, 18, 817, 1559, 28176, 2586, 22288, 18389, 16, 1696, 764, 5943, 286, 36440, 778, 26058, 309, 478, 618, 987, 263, 17, 25769, 328, 470, 281, 12070, 8300, 17799, 18319, 291, 1275, 12097, 29707, 483, 367, 16, 40653, 660, 312, 2822, 281, 1524, 3334, 14497, 17983, 18, 5043, 16, 13446, 19449, 21912, 265, 735, 360, 478, 38900, 1699, 274, 470, 322, 9789, 411, 17, 431, 14236, 282, 505, 5271, 5689, 23305, 5856, 1543, 399, 486, 512, 18, 5850, 709, 1176, 1651, 14879, 324, 1465, 16, 1029, 282, 2343, 4183, 10485, 7609, 35335, 778, 30639, 281, 18774, 2529, 9248, 7165, 16, 515, 322, 1033, 924, 18, 30212, 5561, 329, 478, 38900, 1699, 274, 470, 1038, 41490, 47683, 1624, 9810, 20828, 2506, 1624, 6363, 2787, 447, 7960, 11420, 365, 6031, 29707, 483, 7563, 282, 3800, 8182, 14186, 303, 401, 289, 1307, 28772, 11088, 33385, 756, 1624, 1029, 282, 3405, 779, 31112, 282, 28604, 18, 459, 1373, 575, 2581, 811, 1763, 331, 9439, 15277, 3376, 5, 478, 38900, 27472, 470, 575, 21035, 2236, 411, 13764, 17370, 9964, 16, 1830, 289, 6088, 309, 16876, 2468, 18, 478, 1098, 512, 470, 33513, 309, 3177, 27027, 1702, 313, 2818, 478, 13781, 470, 477, 12932, 430, 30, 22, 16, 9258, 1815, 774, 349, 10384, 7264, 519, 3915, 6740, 10485, 7609, 6258, 22528, 21916, 303, 15591, 301, 18, 33728, 3541, 16, 7005, 16287, 289, 2393, 7036, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 20731, 5978, 15134, 282, 3580, 16, 2006, 27476, 448, 10191, 2985, 3317, 9309, 16, 428, 8391, 282, 3580, 17, 597, 288, 1674, 16, 4723, 42507, 8889, 282, 4579, 10375, 16, 374, 2240, 749, 10960, 510, 281, 4055, 3750, 334, 491, 3990, 309, 870, 3586, 32265, 21487, 20653, 478, 16744, 346, 470, 8501, 2009, 4889, 478, 1605, 405, 413, 2356, 861, 31224, 30, 677, 6491, 478, 16744, 346, 470, 22075, 294, 1354, 1631, 510, 322, 687, 3477, 6343, 11579, 4921, 16, 4878, 2497, 3596, 3595, 21816, 289, 10363, 411, 2069, 1013, 269, 1042, 18, 7594, 16, 15089, 7050, 10392, 4118, 26782, 39021, 2422, 16, 8103, 478, 389, 2000, 4283, 470, 289, 26535, 18, 996, 16, 294, 7555, 16, 567, 1514, 2968, 2702, 43909, 44456, 8509, 1166, 952, 7447, 315, 16, 309, 1639, 942, 4976, 8501, 1924, 16, 47466, 23310, 16, 26914, 918, 290, 25784, 32394, 18, 9639, 1590, 269, 912, 289, 282, 1175, 510, 281, 4479, 779, 282, 4447, 10705, 473, 315, 5511, 282, 3507, 13, 7312, 22481, 20653, 478, 16744, 346, 470, 8501, 2009, 4889, 478, 1605, 405, 413, 2356, 910, 1029, 10201, 16365, 4095, 9440, 2477, 289, 309, 5230, 9616, 16, 515, 4573, 396, 502, 16, 428, 5067, 3660, 2915, 309, 13612, 13844, 18, 478, 4348, 40159, 16365, 16, 961, 840, 6026, 8051, 289, 17705, 282, 1175, 16, 16365, 3531, 16, 19522, 16, 41306, 16, 961, 1698, 8830, 475, 28221, 1923, 290, 970, 16, 374, 2174, 10392, 3878, 4889, 910, 510, 10703, 478, 46088, 18, 8381, 470, 30918, 2016, 478, 1605, 405, 413, 2300, 470, 25486, 4414, 1285, 1310, 286, 18, 10118, 16, 334, 722, 4734, 16, 753, 4889, 9302, 918, 29690, 4010, 17, 299, 3003, 30, 478, 4441, 16, 4818, 16, 3240 ]
[ 4836, 541, 703, 16, 753, 1011, 17914, 3813, 14032, 289, 2240, 861, 48300, 17914, 478, 1605, 405, 413, 2356, 470, 510, 30039, 17783, 264, 1262, 18, 640, 1247, 16, 428, 19034, 1749, 16, 1639, 8684, 467, 3586, 32394, 16, 25486, 9780, 16, 374, 745, 2388, 575, 16, 428, 475, 16, 515, 281, 9304, 3276, 16591, 8217, 30, 478, 7494, 417, 15756, 14420, 282, 4993, 18, 459, 4933, 481, 6547, 1409, 5096, 1135, 18, 2465, 1215, 322, 334, 1190, 360, 978, 18, 439, 1215, 417, 11156, 5481, 1405, 282, 20352, 5426, 16, 289, 475, 8185, 276, 282, 3580, 1320, 11156, 4030, 1405, 16, 289, 6846, 25627, 282, 16719, 445, 3440, 861, 5043, 16, 30111, 17914, 510, 322, 13095, 1924, 1977, 873, 281, 1097, 19528, 16, 367, 25398, 5331, 21976, 1262, 30, 6440, 43374, 1978, 766, 282, 3477, 5281, 7488, 7195, 1165, 16, 282, 6632, 389, 12536, 7051, 6953, 2921, 530, 316, 3588, 541, 38154, 21475, 16, 36732, 460, 19437, 354, 467, 309, 11798, 3364, 1378, 17150, 12527, 16, 367, 519, 19842, 287, 38537, 35412, 11763, 309, 9743, 670, 43866, 18, 740, 4836, 16, 2091, 16, 510, 481, 3253, 7938, 478, 1605, 405, 413, 2300, 11593, 16365, 16, 961, 32546, 24841, 16, 515, 322, 8090, 15839, 18, 6319, 5085, 382, 1373, 322, 7393, 16, 18590, 4414, 1285, 1310, 286, 30, 478, 1182, 696, 918, 281, 3846, 758, 21962, 4857, 6567, 2661, 924, 16, 428, 289, 988, 475, 4702, 723, 2465, 1011, 2567, 15474, 5425, 24149, 319, 424, 1556, 289, 2002, 322, 17595, 2459, 861, 824, 4734, 2726, 1347, 17914, 16, 31850, 2433, 1882, 18, 439, 827, 358, 405, 33257, 33974, 281, 1382, 277, 4520, 16, 502, 481, 1662, 47968, 3799, 845, 18, 2876, 282, 9318, 478, 1605, 405, 413, 2300, 470, 289, 11926, 13051, 448, 16365, 16, 281, 3084, 1326, 2206, 9795, 8323, 289, 12156, 18, 7699, 8509, 275, 1924, 6632, 303, 3056, 16835, 16, 428, 1749, 2539, 4283, 19662, 289, 11351, 18, 996, 16, 22244, 778, 20295, 22936, 31536, 18377, 271, 282, 8501, 1809, 3182, 478, 672, 33581, 33607, 5217, 470, 38470, 1211, 5217, 16, 961, 898, 541, 8775, 17812, 1354, 16, 367, 971, 16302, 536, 17870, 4118, 23202, 30, 2001, 29068, 16, 5217, 32022, 642, 2919, 282, 14649, 289, 15218, 16, 12054, 4890, 27709, 289, 26934, 681, 5619, 18, 3428, 1215, 15967, 7124, 32338, 7813, 382, 8308, 9055, 1018, 3699, 2538, 332, 447, 478, 25239, 2203, 5420, 470, 290, 1354, 949, 377, 11570, 933, 5904, 3930, 16, 961, 45376, 281, 25379, 16, 349, 4993, 289, 349, 2159, 2990, 953, 329, 5420, 16, 510, 44389, 11441, 16, 17601, 342, 12866, 282, 9911, 1165, 40366, 424, 24419, 19643, 23342, 15735, 1042, 18, 11333, 9440, 1952, 30413, 294, 11135, 10785, 2422, 16, 988, 726, 2410, 1269, 1631, 18, 365, 3705, 478, 32356, 673, 1070, 470, 27271, 14008, 3918, 872, 354, 473, 356, 349, 1177, 6793, 49038, 13049, 309, 478, 49287, 9979, 47187, 290, 1354, 31983, 17, 38114, 933, 44083, 16, 961, 19532, 6652, 289, 18918, 28091, 315, 2471, 5823, 28121, 411, 3322, 417, 6077, 1271, 350, 1051, 478, 16744, 346, 470, 15868, 1354, 30, 697, 1372, 510, 38772, 7434, 21475, 282, 11976, 38531, 37015, 289, 575, 1316, 432, 1934, 368, 16, 961, 942, 21903, 309, 329, 16198, 18, 34889, 32338, 510, 478, 677, 1414, 377, 14508, 28677, 470, 4508, 35536, 507, 28995, 8367, 510, 21269, 290, 970, 16, 428, 8391, 48158, 873, 282, 3177, 3580, 16, 11977, 15471, 304, 19968, 16, 25379, 289, 7265, 2175, 510, 1613, 31361, 18, 3739, 2197, 9200, 478, 16744, 346, 470, 4889, 510, 374, 2240, 16, 785, 726, 475, 2438, 4702, 18, 18683, 385, 948, 1496, 282, 478, 8572, 1100, 3302, 10705, 470, 387, 17940, 1211, 15040, 17783, 264, 1356, 16, 18428, 9991, 19660, 276, 289, 47024, 309, 2392, 13468, 22112, 368, 289, 282, 23952, 432, 2405, 288, 15101, 18, 439, 6260, 365, 3778, 1318, 282, 359, 11186, 478, 8706, 4230, 548, 541, 19349, 470, 473, 853, 16, 294, 15695, 16, 906, 5216, 47991, 478, 1605, 405, 413, 2300, 9979, 24475, 28218, 749, 8656, 411, 24283, 35973, 18, 3739, 478, 1605, 405, 413, 2356, 470, 8123, 7893, 11384, 29842, 285, 952, 8043, 867, 282, 9212, 43394, 40621, 434, 4889, 478, 7148, 1266, 339, 16682, 861, 365, 1420, 27724, 26914, 918, 289, 6632, 303, 3056, 16, 8025, 39996, 289, 29325, 848, 14414, 16, 13051, 448, 289, 25018, 3664, 448, 510, 289, 475, 290, 970, 16, 374, 2141, 17, 299, 9017, 10660, 639, 373, 24841, 290, 970, 16, 428, 492, 840, 3660, 309, 11360, 2915, 18, 1665, 367, 753, 656, 726, 1965, 49325, 16, 374, 358, 405, 510, 481, 322, 1139, 371, 12217, 16, 367, 10122, 1354, 16, 282, 20653, 25848, 6793, 17, 2499, 38322, 776, 444, 48136, 1255, 16, 961, 12362, 2159, 13609, 11338, 567, 808, 27521, 13789, 282, 10440, 16, 3895, 5464, 4028, 3862, 668, 289, 3060, 317, 4934, 8569, 6546, 309, 478, 1182, 272, 10907, 19033, 910, 367, 1038, 32338, 478, 37864, 323, 15689, 4025, 5933, 470, 510, 8501, 2110, 1726, 290, 44774, 22300, 1279, 32691, 7435, 19915, 8697, 16, 733, 1102, 1043, 4028, 3725, 11241, 19874, 18, 632, 21134, 22359, 281, 17914, 289, 3754, 282, 22298, 292, 289, 27843, 30, 11579, 2572, 411, 17, 1567, 6715, 3014, 38839, 282, 8699, 541, 8379, 16, 1221, 33574, 25945, 382, 3848, 21903, 282, 6874, 5546, 13818, 541, 1129, 1756, 16, 367, 519, 1642, 1882, 28780, 16783, 16, 935, 827, 492, 309, 26436, 10208, 18, 9857, 16186, 309, 17142, 510, 20602, 12535, 16, 6120, 539, 510, 3073, 32396, 30, 1011, 478, 1605, 405, 413, 2300, 470, 478, 16744, 525, 470, 1805, 21223, 322, 29732, 18, 22481, 20653, 478, 16744, 346, 470, 8501, 2009, 4889, 478, 1605, 405, 413, 2356, 470, 840, 15961, 282, 3507, 281, 4055, 3750, 334, 491, 3990, 309, 8285, 16986, 8501, 2009, 4889, 289, 3806, 343, 2800, 478, 3127, 265, 399, 1991, 4603, 861, 2, 1, 87, 1456, 81, 2448, 30, 7530, 31379, 478, 31496, 43512, 470, 13317, 282, 6656, 411, 1939, 3541, 16, 961, 7813, 1162, 13143, 14204, 266, 282, 4301, 15140, 334, 6619, 12546, 13640, 944, 11900, 287, 312, 16, 41629, 282, 50128, 16, 19194, 763, 360, 32371, 17411, 289, 5241, 763, 2797, 11365, 18, 39158, 1133, 5792, 7788, 11875, 6816, 4402, 348, 25113, 16, 40896, 49157, 41116, 289, 13536, 43340, 3583, 16, 961, 1698, 953, 14785, 318, 294, 478, 747, 272, 11900 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4836, 541, 703, 16, 753, 1011, 17914, 3813, 14032, 289, 2240, 861, 48300, 17914, 478, 1605, 405, 413, 2356, 470, 510, 30039, 17783, 264, 1262, 18, 640, 1247, 16, 428, 19034, 1749, 16, 1639, 8684, 467, 3586, 32394, 16, 25486, 9780, 16, 374, 745, 2388, 575, 16, 428, 475, 16, 515, 281, 9304, 3276, 16591, 8217, 30, 478, 7494, 417, 15756, 14420, 282, 4993, 18, 459, 4933, 481, 6547, 1409, 5096, 1135, 18, 2465, 1215, 322, 334, 1190, 360, 978, 18, 439, 1215, 417, 11156, 5481, 1405, 282, 20352, 5426, 16, 289, 475, 8185, 276, 282, 3580, 1320, 11156, 4030, 1405, 16, 289, 6846, 25627, 282, 16719, 445, 3440, 861, 5043, 16, 30111, 17914, 510, 322, 13095, 1924, 1977, 873, 281, 1097, 19528, 16, 367, 25398, 5331, 21976, 1262, 30, 6440, 43374, 1978, 766, 282, 3477, 5281, 7488, 7195, 1165, 16, 282, 6632, 389, 12536, 7051, 6953, 2921, 530, 316, 3588, 541, 38154, 21475, 16, 36732, 460, 19437, 354, 467, 309, 11798, 3364, 1378, 17150, 12527, 16, 367, 519, 19842, 287, 38537, 35412, 11763, 309, 9743, 670, 43866, 18, 740, 4836, 16, 2091, 16, 510, 481, 3253, 7938, 478, 1605, 405, 413, 2300, 11593, 16365, 16, 961, 32546, 24841, 16, 515, 322, 8090, 15839, 18, 6319, 5085, 382, 1373, 322, 7393, 16, 18590, 4414, 1285, 1310, 286, 30, 478, 1182, 696, 918, 281, 3846, 758, 21962, 4857, 6567, 2661, 924, 16, 428, 289, 988, 475, 4702, 723, 2465, 1011, 2567, 15474, 5425, 24149, 319, 424, 1556, 289, 2002, 322, 17595, 2459, 861, 824, 4734, 2726, 1347, 17914, 16, 31850, 2433, 1882, 18, 439, 827, 358, 405, 33257, 33974, 281, 1382, 277, 4520, 16, 502, 481, 1662, 47968, 3799, 845, 18, 2876, 282, 9318, 478, 1605, 405, 413, 2300, 470, 289, 11926, 13051, 448, 16365, 16, 281, 3084, 1326, 2206, 9795, 8323, 289, 12156, 18, 7699, 8509, 275, 1924, 6632, 303, 3056, 16835, 16, 428, 1749, 2539, 4283, 19662, 289, 11351, 18, 996, 16, 22244, 778, 20295, 22936, 31536, 18377, 271, 282, 8501, 1809, 3182, 478, 672, 33581, 33607, 5217, 470, 38470, 1211, 5217, 16, 961, 898, 541, 8775, 17812, 1354, 16, 367, 971, 16302, 536, 17870, 4118, 23202, 30, 2001, 29068, 16, 5217, 32022, 642, 2919, 282, 14649, 289, 15218, 16, 12054, 4890, 27709, 289, 26934, 681, 5619, 18, 3428, 1215, 15967, 7124, 32338, 7813, 382, 8308, 9055, 1018, 3699, 2538, 332, 447, 478, 25239, 2203, 5420, 470, 290, 1354, 949, 377, 11570, 933, 5904, 3930, 16, 961, 45376, 281, 25379, 16, 349, 4993, 289, 349, 2159, 2990, 953, 329, 5420, 16, 510, 44389, 11441, 16, 17601, 342, 12866, 282, 9911, 1165, 40366, 424, 24419, 19643, 23342, 15735, 1042, 18, 11333, 9440, 1952, 30413, 294, 11135, 10785, 2422, 16, 988, 726, 2410, 1269, 1631, 18, 365, 3705, 478, 32356, 673, 1070, 470, 27271, 14008, 3918, 872, 354, 473, 356, 349, 1177, 6793, 49038, 13049, 309, 478, 49287, 9979, 47187, 290, 1354, 31983, 17, 38114, 933, 44083, 16, 961, 19532, 6652, 289, 18918, 28091, 315, 2471, 5823, 28121, 411, 3322, 417, 6077, 1271, 350, 1051, 478, 16744, 346, 470, 15868, 1354, 30, 697, 1372, 510, 38772, 7434, 21475, 282, 11976, 38531, 37015, 289, 575, 1316, 432, 1934, 368, 16, 961, 942, 21903, 309, 329, 16198, 18, 34889, 32338, 510, 478, 677, 1414, 377, 14508, 28677, 470, 4508, 35536, 507, 28995, 8367, 510, 21269, 290, 970, 16, 428, 8391, 48158, 873, 282, 3177, 3580, 16, 11977, 15471, 304, 19968, 16, 25379, 289, 7265, 2175, 510, 1613, 31361, 18, 3739, 2197, 9200, 478, 16744, 346, 470, 4889, 510, 374, 2240, 16, 785, 726, 475, 2438, 4702, 18, 18683, 385, 948, 1496, 282, 478, 8572, 1100, 3302, 10705, 470, 387, 17940, 1211, 15040, 17783, 264, 1356, 16, 18428, 9991, 19660, 276, 289, 47024, 309, 2392, 13468, 22112, 368, 289, 282, 23952, 432, 2405, 288, 15101, 18, 439, 6260, 365, 3778, 1318, 282, 359, 11186, 478, 8706, 4230, 548, 541, 19349, 470, 473, 853, 16, 294, 15695, 16, 906, 5216, 47991, 478, 1605, 405, 413, 2300, 9979, 24475, 28218, 749, 8656, 411, 24283, 35973, 18, 3739, 478, 1605, 405, 413, 2356, 470, 8123, 7893, 11384, 29842, 285, 952, 8043, 867, 282, 9212, 43394, 40621, 434, 4889, 478, 7148, 1266, 339, 16682, 861, 365, 1420, 27724, 26914, 918, 289, 6632, 303, 3056, 16, 8025, 39996, 289, 29325, 848, 14414, 16, 13051, 448, 289, 25018, 3664, 448, 510, 289, 475, 290, 970, 16, 374, 2141, 17, 299, 9017, 10660, 639, 373, 24841, 290, 970, 16, 428, 492, 840, 3660, 309, 11360, 2915, 18, 1665, 367, 753, 656, 726, 1965, 49325, 16, 374, 358, 405, 510, 481, 322, 1139, 371, 12217, 16, 367, 10122, 1354, 16, 282, 20653, 25848, 6793, 17, 2499, 38322, 776, 444, 48136, 1255, 16, 961, 12362, 2159, 13609, 11338, 567, 808, 27521, 13789, 282, 10440, 16, 3895, 5464, 4028, 3862, 668, 289, 3060, 317, 4934, 8569, 6546, 309, 478, 1182, 272, 10907, 19033, 910, 367, 1038, 32338, 478, 37864, 323, 15689, 4025, 5933, 470, 510, 8501, 2110, 1726, 290, 44774, 22300, 1279, 32691, 7435, 19915, 8697, 16, 733, 1102, 1043, 4028, 3725, 11241, 19874, 18, 632, 21134, 22359, 281, 17914, 289, 3754, 282, 22298, 292, 289, 27843, 30, 11579, 2572, 411, 17, 1567, 6715, 3014, 38839, 282, 8699, 541, 8379, 16, 1221, 33574, 25945, 382, 3848, 21903, 282, 6874, 5546, 13818, 541, 1129, 1756, 16, 367, 519, 1642, 1882, 28780, 16783, 16, 935, 827, 492, 309, 26436, 10208, 18, 9857, 16186, 309, 17142, 510, 20602, 12535, 16, 6120, 539, 510, 3073, 32396, 30, 1011, 478, 1605, 405, 413, 2300, 470, 478, 16744, 525, 470, 1805, 21223, 322, 29732, 18, 22481, 20653, 478, 16744, 346, 470, 8501, 2009, 4889, 478, 1605, 405, 413, 2356, 470, 840, 15961, 282, 3507, 281, 4055, 3750, 334, 491, 3990, 309, 8285, 16986, 8501, 2009, 4889, 289, 3806, 343, 2800, 478, 3127, 265, 399, 1991, 4603, 861, 2, 1, 87, 1456, 81, 2448, 30, 7530, 31379, 478, 31496, 43512, 470, 13317, 282, 6656, 411, 1939, 3541, 16, 961, 7813, 1162, 13143, 14204, 266, 282, 4301, 15140, 334, 6619, 12546, 13640, 944, 11900, 287, 312, 16, 41629, 282, 50128, 16, 19194, 763, 360, 32371, 17411, 289, 5241, 763, 2797, 11365, 18, 39158, 1133, 5792, 7788, 11875, 6816, 4402, 348, 25113, 16, 40896, 49157, 41116, 289, 13536, 43340, 3583, 16, 961, 1698, 953, 14785, 318, 294, 478, 747, 272, 11900 ]
[ 287, 312, 861, 31224, 30, 677, 9893, 36927, 36912, 14781, 282, 2630, 281, 17036, 19610, 14818, 309, 439, 10089, 307, 2165, 12546, 13640, 944, 11900, 287, 312, 18, 985, 3110, 39486, 3016, 657, 18045, 477, 7755, 309, 13241, 668, 16154, 14207, 1180, 26858, 980, 15746, 737, 42911, 21438, 16, 2170, 13971, 35115, 289, 19883, 680, 31775, 282, 3178, 1949, 986, 16, 2650, 2993, 16029, 319, 3521, 668, 6138, 334, 24228, 48788, 4135, 16, 8907, 7539, 11900, 287, 312, 16, 1029, 1038, 11391, 289, 5241, 979, 2797, 11365, 2496, 4296, 346, 268, 5363, 18, 824, 4453, 7300, 1219, 282, 4296, 7011, 350, 464, 14781, 41323, 7664, 3589, 282, 11254, 16, 37573, 428, 478, 630, 2314, 783, 2228, 3651, 299, 861, 2263, 346, 12074, 2944, 4434, 2853, 282, 970, 16, 374, 492, 11509, 1646, 2797, 2976, 304, 5907, 3400, 4296, 346, 268, 5363, 18, 478, 677, 2630, 281, 13988, 3438, 9314, 309, 17032, 282, 25796, 16, 7193, 21890, 290, 970, 16, 374, 322, 13102, 1078, 267, 275, 4510, 349, 3193, 5841, 5363, 11419, 281, 6524, 2840, 17411, 18, 39991, 2728, 11389, 281, 15825, 2552, 5841, 4961, 1623, 50165, 41458, 289, 14493, 309, 965, 475, 15442, 334, 14283, 464, 17411, 16, 282, 970, 2875, 334, 10009, 19005, 18395, 18, 2949, 924, 16, 475, 41476, 5841, 5363, 4966, 478, 31496, 43512, 470, 12219, 3251, 668, 30123, 282, 7255, 547, 41464, 49874, 1356, 473, 57, 39, 45, 13, 289, 2733, 2175, 1984, 267, 2594, 467, 1514, 34242, 12672, 12670, 24137, 6831, 1129, 35808, 39747, 267, 13579, 938, 9851, 1624, 1029, 282, 2343, 4160, 16, 428, 3665, 16, 685, 5689, 23305, 1390, 28147, 7057, 289, 35760, 10096, 10553, 1388, 4027, 478, 34058, 744, 2850, 267, 470, 1011, 14267, 35414, 18040, 473, 33929, 718, 3806, 48181, 375, 27436, 10015, 814, 8859, 282, 5895, 1045, 38592, 10218, 26003, 16, 374, 33995, 14833, 281, 11900, 287, 312, 16, 2686, 16, 428, 5121, 16, 5883, 281, 1498, 14833, 26160, 289, 9038, 360, 1047, 4092, 11328, 20160, 18, 39158, 1133, 5792, 1038, 29838, 16, 374, 11900, 287, 312, 1974, 477, 2200, 14049, 39206, 315, 289, 41458, 8860, 2810, 660, 385, 2306, 913, 35670, 11340, 12832, 25541, 16, 1586, 31194, 11471, 395, 35451, 3674, 309, 14283, 552, 17411, 18, 824, 1335, 22010, 5841, 6951, 15028, 22312, 41476, 282, 35830, 17, 13802, 435, 16, 821, 1079, 282, 46224, 9597, 5270, 7540, 18, 36478, 4139, 48437, 3585, 313, 862, 764, 289, 1548, 16, 374, 41476, 322, 23936, 13656, 282, 7255, 547, 41464, 49874, 1356, 473, 57, 39, 45, 814, 15924, 575, 2764, 2510, 20899, 2919, 309, 12056, 292, 6802, 22336, 16, 24372, 5342, 23074, 16, 282, 970, 575, 35830, 17, 13802, 435, 289, 13340, 11908, 18, 21779, 11617, 4135, 16, 40075, 3494, 360, 34388, 6431, 16, 334, 4060, 973, 16, 282, 970, 2875, 289, 309, 14283, 552, 5117, 11900, 287, 312, 16, 14231, 25817, 3161, 3763, 16, 374, 2702, 334, 35556, 4296, 7011, 4121, 18, 1397, 5327, 20264, 2797, 11365, 16, 502, 11900, 287, 312, 46067, 4973, 502, 16, 374, 492, 22854, 1229, 1486, 2823, 11471, 395, 31875, 4092, 11504, 17987, 289, 18624, 34190, 697, 16, 827, 745, 17279, 1166, 2797, 2976, 17, 464, 1262, 18, 824, 8872, 15140, 13143, 1589, 25020, 541, 10438, 334, 8872, 6566, 11884, 10485, 16, 2500, 537, 2950, 16, 1939, 18221, 3541, 16, 753, 23067, 41476, 5841, 5363, 281, 11418, 353, 16, 6558, 18805, 282, 30230, 45, 18, 6831, 11443, 16, 282, 803, 14526, 30519, 4364, 39001, 1162, 478, 618, 3480, 470, 289, 19186, 478, 31496, 43512, 910, 282, 5271, 1754, 23054, 1314, 25170, 11304, 3595, 5841, 6951, 3720, 4402, 348, 2325, 16, 6070, 43340, 512, 1624, 14179, 49157, 22533, 18, 3791, 5130, 290, 2755, 298, 6470, 409, 546, 1624, 2755, 298, 2776, 1035, 800, 289, 6665, 763, 9969, 263, 18, 5181, 16, 14781, 334, 478, 747, 272, 11900, 287, 312, 470, 322, 2993, 23350, 1558, 5726, 411, 41688, 27867, 282, 5271, 4296, 9960, 363, 700, 18, 478, 6706, 808, 924, 16, 428, 7110, 11900, 287, 312, 764, 322, 685, 23220, 286, 360, 3416, 16, 41282, 477, 27670, 16, 2874, 32752, 764, 322, 898, 5841, 17983, 478, 31496, 306, 460, 910, 510, 6442, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 478, 31496, 306, 460, 910, 30634, 16, 374, 1055, 19683, 14678, 519, 21442, 1612, 322, 840, 16, 753, 322, 13168, 15141, 650, 9037, 16870, 18, 651, 15517, 16, 656, 994, 406, 349, 21672, 6059, 16, 515, 4966, 481, 44151, 481, 322, 895, 16, 3387, 32752, 764, 322, 898, 282, 478, 31496, 306, 466, 861, 6019, 4296, 7011, 4121, 289, 7457, 4753, 942, 4897, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 9489, 9764, 1195, 7342, 25359, 282, 37131, 962, 7561, 2422, 6548, 9680, 7342, 1175, 18159, 49420, 47277, 14943, 13224, 2947, 401, 289, 27585, 3495, 344, 4086, 16, 367, 1038, 23081, 2200, 23669, 290, 371, 4695, 9001, 9620, 18, 31224, 30, 471, 11227, 813, 481, 685, 1176, 411, 7878, 16287, 16, 510, 1109, 18159, 49420, 18, 510, 1787, 6714, 14452, 10133, 3771, 376, 43901, 481, 1494, 6026, 18, 740, 541, 12899, 2044, 4765, 282, 37131, 962, 6327, 886, 324, 16, 453, 428, 2197, 7193, 3419, 2915, 16, 367, 10546, 20924, 3977, 18, 28014, 16, 374, 34447, 289, 47846, 2915, 861, 510, 1397, 7299, 1011, 924, 16, 428, 322, 3882, 26646, 774, 35, 510, 1397, 4748, 10846, 6281, 13772, 360, 924, 16, 685, 774, 670, 1003, 18, 510, 19743, 374, 17, 1796, 1514, 16, 1085, 322, 16398, 282, 8616, 18, 510, 385, 25771, 18, 510, 439, 867, 16, 1085, 3525, 322, 16398, 35, 510, 629, 5755, 481, 541, 1110, 16, 1085, 16398, 18, 1303, 6247, 784, 322, 28791, 18, 510, 10351, 12844, 20600, 10133, 281, 10421, 1809, 4947, 4611, 35, 510, 1012, 6769, 11614, 16, 374, 1800, 6843, 294, 2384, 1616, 639, 8067, 3230, 16, 828, 282, 19163, 18, 459, 502, 16, 374, 656, 15655, 22496, 309, 1209, 47192, 651, 481, 2180, 468, 4966, 282, 2361, 14890, 16, 1800, 3523, 10420, 18, 42026, 639, 5221, 16, 12741, 349, 15825, 16, 3891, 1381, 639, 687, 424, 28547, 49009, 12032, 16, 282, 16557, 9043, 6773, 18, 510, 2667, 23708, 455, 2950, 1612, 18, 4727, 781, 45570, 8616, 294, 2384, 1616, 35, 510, 5093, 16, 567, 17, 7329, 16, 39054, 18, 3492, 5304, 33314, 16, 1500, 14894, 341, 18, 15520, 764, 1992, 1119, 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 ]
[ 287, 312, 861, 31224, 30, 677, 9893, 36927, 36912, 14781, 282, 2630, 281, 17036, 19610, 14818, 309, 439, 10089, 307, 2165, 12546, 13640, 944, 11900, 287, 312, 18, 985, 3110, 39486, 3016, 657, 18045, 477, 7755, 309, 13241, 668, 16154, 14207, 1180, 26858, 980, 15746, 737, 42911, 21438, 16, 2170, 13971, 35115, 289, 19883, 680, 31775, 282, 3178, 1949, 986, 16, 2650, 2993, 16029, 319, 3521, 668, 6138, 334, 24228, 48788, 4135, 16, 8907, 7539, 11900, 287, 312, 16, 1029, 1038, 11391, 289, 5241, 979, 2797, 11365, 2496, 4296, 346, 268, 5363, 18, 824, 4453, 7300, 1219, 282, 4296, 7011, 350, 464, 14781, 41323, 7664, 3589, 282, 11254, 16, 37573, 428, 478, 630, 2314, 783, 2228, 3651, 299, 861, 2263, 346, 12074, 2944, 4434, 2853, 282, 970, 16, 374, 492, 11509, 1646, 2797, 2976, 304, 5907, 3400, 4296, 346, 268, 5363, 18, 478, 677, 2630, 281, 13988, 3438, 9314, 309, 17032, 282, 25796, 16, 7193, 21890, 290, 970, 16, 374, 322, 13102, 1078, 267, 275, 4510, 349, 3193, 5841, 5363, 11419, 281, 6524, 2840, 17411, 18, 39991, 2728, 11389, 281, 15825, 2552, 5841, 4961, 1623, 50165, 41458, 289, 14493, 309, 965, 475, 15442, 334, 14283, 464, 17411, 16, 282, 970, 2875, 334, 10009, 19005, 18395, 18, 2949, 924, 16, 475, 41476, 5841, 5363, 4966, 478, 31496, 43512, 470, 12219, 3251, 668, 30123, 282, 7255, 547, 41464, 49874, 1356, 473, 57, 39, 45, 13, 289, 2733, 2175, 1984, 267, 2594, 467, 1514, 34242, 12672, 12670, 24137, 6831, 1129, 35808, 39747, 267, 13579, 938, 9851, 1624, 1029, 282, 2343, 4160, 16, 428, 3665, 16, 685, 5689, 23305, 1390, 28147, 7057, 289, 35760, 10096, 10553, 1388, 4027, 478, 34058, 744, 2850, 267, 470, 1011, 14267, 35414, 18040, 473, 33929, 718, 3806, 48181, 375, 27436, 10015, 814, 8859, 282, 5895, 1045, 38592, 10218, 26003, 16, 374, 33995, 14833, 281, 11900, 287, 312, 16, 2686, 16, 428, 5121, 16, 5883, 281, 1498, 14833, 26160, 289, 9038, 360, 1047, 4092, 11328, 20160, 18, 39158, 1133, 5792, 1038, 29838, 16, 374, 11900, 287, 312, 1974, 477, 2200, 14049, 39206, 315, 289, 41458, 8860, 2810, 660, 385, 2306, 913, 35670, 11340, 12832, 25541, 16, 1586, 31194, 11471, 395, 35451, 3674, 309, 14283, 552, 17411, 18, 824, 1335, 22010, 5841, 6951, 15028, 22312, 41476, 282, 35830, 17, 13802, 435, 16, 821, 1079, 282, 46224, 9597, 5270, 7540, 18, 36478, 4139, 48437, 3585, 313, 862, 764, 289, 1548, 16, 374, 41476, 322, 23936, 13656, 282, 7255, 547, 41464, 49874, 1356, 473, 57, 39, 45, 814, 15924, 575, 2764, 2510, 20899, 2919, 309, 12056, 292, 6802, 22336, 16, 24372, 5342, 23074, 16, 282, 970, 575, 35830, 17, 13802, 435, 289, 13340, 11908, 18, 21779, 11617, 4135, 16, 40075, 3494, 360, 34388, 6431, 16, 334, 4060, 973, 16, 282, 970, 2875, 289, 309, 14283, 552, 5117, 11900, 287, 312, 16, 14231, 25817, 3161, 3763, 16, 374, 2702, 334, 35556, 4296, 7011, 4121, 18, 1397, 5327, 20264, 2797, 11365, 16, 502, 11900, 287, 312, 46067, 4973, 502, 16, 374, 492, 22854, 1229, 1486, 2823, 11471, 395, 31875, 4092, 11504, 17987, 289, 18624, 34190, 697, 16, 827, 745, 17279, 1166, 2797, 2976, 17, 464, 1262, 18, 824, 8872, 15140, 13143, 1589, 25020, 541, 10438, 334, 8872, 6566, 11884, 10485, 16, 2500, 537, 2950, 16, 1939, 18221, 3541, 16, 753, 23067, 41476, 5841, 5363, 281, 11418, 353, 16, 6558, 18805, 282, 30230, 45, 18, 6831, 11443, 16, 282, 803, 14526, 30519, 4364, 39001, 1162, 478, 618, 3480, 470, 289, 19186, 478, 31496, 43512, 910, 282, 5271, 1754, 23054, 1314, 25170, 11304, 3595, 5841, 6951, 3720, 4402, 348, 2325, 16, 6070, 43340, 512, 1624, 14179, 49157, 22533, 18, 3791, 5130, 290, 2755, 298, 6470, 409, 546, 1624, 2755, 298, 2776, 1035, 800, 289, 6665, 763, 9969, 263, 18, 5181, 16, 14781, 334, 478, 747, 272, 11900, 287, 312, 470, 322, 2993, 23350, 1558, 5726, 411, 41688, 27867, 282, 5271, 4296, 9960, 363, 700, 18, 478, 6706, 808, 924, 16, 428, 7110, 11900, 287, 312, 764, 322, 685, 23220, 286, 360, 3416, 16, 41282, 477, 27670, 16, 2874, 32752, 764, 322, 898, 5841, 17983, 478, 31496, 306, 460, 910, 510, 6442, 478, 46088, 18, 8381, 470, 282, 3781, 17, 12495, 478, 31496, 306, 460, 910, 30634, 16, 374, 1055, 19683, 14678, 519, 21442, 1612, 322, 840, 16, 753, 322, 13168, 15141, 650, 9037, 16870, 18, 651, 15517, 16, 656, 994, 406, 349, 21672, 6059, 16, 515, 4966, 481, 44151, 481, 322, 895, 16, 3387, 32752, 764, 322, 898, 282, 478, 31496, 306, 466, 861, 6019, 4296, 7011, 4121, 289, 7457, 4753, 942, 4897, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 9489, 9764, 1195, 7342, 25359, 282, 37131, 962, 7561, 2422, 6548, 9680, 7342, 1175, 18159, 49420, 47277, 14943, 13224, 2947, 401, 289, 27585, 3495, 344, 4086, 16, 367, 1038, 23081, 2200, 23669, 290, 371, 4695, 9001, 9620, 18, 31224, 30, 471, 11227, 813, 481, 685, 1176, 411, 7878, 16287, 16, 510, 1109, 18159, 49420, 18, 510, 1787, 6714, 14452, 10133, 3771, 376, 43901, 481, 1494, 6026, 18, 740, 541, 12899, 2044, 4765, 282, 37131, 962, 6327, 886, 324, 16, 453, 428, 2197, 7193, 3419, 2915, 16, 367, 10546, 20924, 3977, 18, 28014, 16, 374, 34447, 289, 47846, 2915, 861, 510, 1397, 7299, 1011, 924, 16, 428, 322, 3882, 26646, 774, 35, 510, 1397, 4748, 10846, 6281, 13772, 360, 924, 16, 685, 774, 670, 1003, 18, 510, 19743, 374, 17, 1796, 1514, 16, 1085, 322, 16398, 282, 8616, 18, 510, 385, 25771, 18, 510, 439, 867, 16, 1085, 3525, 322, 16398, 35, 510, 629, 5755, 481, 541, 1110, 16, 1085, 16398, 18, 1303, 6247, 784, 322, 28791, 18, 510, 10351, 12844, 20600, 10133, 281, 10421, 1809, 4947, 4611, 35, 510, 1012, 6769, 11614, 16, 374, 1800, 6843, 294, 2384, 1616, 639, 8067, 3230, 16, 828, 282, 19163, 18, 459, 502, 16, 374, 656, 15655, 22496, 309, 1209, 47192, 651, 481, 2180, 468, 4966, 282, 2361, 14890, 16, 1800, 3523, 10420, 18, 42026, 639, 5221, 16, 12741, 349, 15825, 16, 3891, 1381, 639, 687, 424, 28547, 49009, 12032, 16, 282, 16557, 9043, 6773, 18, 510, 2667, 23708, 455, 2950, 1612, 18, 4727, 781, 45570, 8616, 294, 2384, 1616, 35, 510, 5093, 16, 567, 17, 7329, 16, 39054, 18, 3492, 5304, 33314, 16, 1500, 14894, 341, 18, 15520, 764, 1992, 1119, 16 ]
[ 753, 4522, 1920, 294, 2384, 1616, 18, 15520, 840, 23708, 300, 289, 656, 33150, 1007, 687, 309, 8955, 18, 510, 4800, 2255, 454, 4086, 685, 35, 510, 1178, 16044, 1109, 16, 374, 1003, 16, 2862, 16, 417, 1329, 309, 1177, 2948, 2023, 322, 2447, 18, 1606, 14963, 3003, 18, 510, 2877, 475, 656, 10668, 16, 4427, 387, 25732, 282, 8616, 13224, 2947, 401, 655, 510, 2502, 2356, 24794, 5, 5005, 475, 975, 28439, 16, 753, 492, 41026, 46234, 16, 367, 329, 1047, 4753, 6106, 639, 18, 817, 12122, 709, 1728, 12213, 289, 17363, 18, 740, 1188, 4027, 496, 2422, 1176, 939, 10193, 12987, 8566, 505, 9376, 4309, 18, 2877, 492, 2715, 309, 870, 1694, 18, 510, 6290, 37131, 5325, 28953, 965, 28812, 4269, 294, 32524, 35, 510, 1345, 1494, 28812, 548, 294, 32524, 18, 832, 294, 32524, 16, 367, 31153, 294, 10853, 18, 1937, 594, 420, 638, 3300, 16, 374, 11215, 1003, 1329, 3235, 9849, 400, 16, 453, 8030, 3624, 18, 889, 424, 843, 17808, 18, 510, 1397, 26498, 9949, 4466, 3495, 344, 4086, 11331, 21484, 781, 520, 387, 16, 374, 49742, 16, 322, 9556, 275, 975, 1756, 4183, 19671, 521, 35, 510, 817, 16480, 19647, 695, 18, 740, 827, 373, 417, 757, 475, 9078, 2158, 16, 502, 12175, 373, 453, 575, 18, 510, 1397, 11655, 5251, 2165, 35, 510, 1345, 773, 40900, 16, 2862, 481, 7634, 5596, 7193, 18, 510, 38013, 15512, 1299, 13744, 5049, 1205, 282, 403, 546, 296, 10156, 655, 510, 889, 5517, 18, 3397, 1381, 2240, 6402, 5901, 18, 459, 8404, 1336, 541, 978, 18, 510, 17369, 520, 33334, 4505, 6281, 35, 510, 23033, 315, 2023, 18, 5360, 639, 1882, 1800, 18, 34231, 16, 428, 492, 840, 965, 12259, 2915, 18, 365, 2343, 656, 8105, 1166, 282, 1871, 12296, 30556, 16, 2391, 1513, 690, 263, 2153, 289, 7842, 12032, 18, 510, 15520, 1373, 840, 4137, 6732, 18, 889, 3599, 670, 575, 39130, 11440, 309, 8616, 35, 510, 889, 5854, 5478, 18, 2787, 912, 16, 2152, 5098, 15793, 473, 30928, 17014, 510, 43642, 5030, 11347, 281, 28265, 271, 2509, 289, 38013, 1616, 635, 282, 15301, 29235, 18, 510, 981, 16, 656, 6547, 5836, 334, 8954, 7977, 18, 459, 5375, 5230, 12520, 16, 428, 8928, 990, 16, 428, 15831, 649, 5199, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 43901, 510, 3771, 18, 11333, 6034, 16, 7036, 16, 7005, 289, 25956, 942, 5298, 309, 7759, 7561, 2422, 334, 40730, 17, 13733, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 20181, 2796, 2750, 470, 289, 478, 1464, 24347, 4640, 266, 470, 34406, 10779, 2403, 21477, 282, 450, 1701, 9152, 476, 16, 3227, 8521, 48372, 18653, 1742, 10133, 4039, 13767, 12815, 476, 600, 607, 18, 19770, 3583, 322, 6597, 46512, 1215, 726, 309, 7266, 3405, 9691, 16, 1794, 331, 7470, 18256, 17786, 478, 1464, 24347, 4640, 354, 470, 1103, 29791, 519, 1286, 16287, 18, 31224, 30, 822, 1701, 27850, 1162, 478, 20181, 2796, 2750, 470, 289, 478, 1464, 24347, 4640, 266, 470, 2384, 1313, 309, 478, 563, 2711, 1501, 459, 554, 324, 35605, 470, 1283, 1166, 282, 10882, 9318, 4039, 13767, 12815, 476, 600, 607, 18, 9046, 4990, 14007, 2553, 289, 5222, 16642, 8900, 13694, 5536, 5250, 44200, 30423, 16, 1029, 16, 9705, 16, 282, 5975, 808, 13309, 939, 10660, 18, 478, 1464, 342, 919, 470, 1188, 22232, 281, 450, 1701, 9152, 3663, 6984, 4256, 7821, 48305, 1794, 331, 7470, 25743, 19311, 16, 282, 2588, 4492, 14269, 1032, 9764, 289, 430, 537, 11867, 18, 740, 374, 481, 334, 7413, 281, 9776, 355, 478, 20181, 2796, 2047, 470, 3487, 4015, 315, 17, 9500, 3171, 322, 18042, 1166, 309, 7266, 3695, 4466, 16, 48253, 2123, 16287, 289, 1032, 5295, 274, 294, 537, 19090, 18, 3863, 6441, 15344, 3216, 536, 11529, 3663, 289, 1011, 4466, 477, 478, 1464, 24347, 4640, 496, 470, 1177, 15513, 685, 6973, 637, 18, 19823, 520, 1085, 17, 299, 26661, 309, 502, 16, 374, 4446, 16, 5709, 274, 1617, 478, 32959, 35380, 276, 910, 15018, 4716, 4024, 3025, 15825, 18, 24397, 289, 322, 4983, 18, 35652, 4847, 659, 323, 1833, 575, 2337, 1076, 538, 1328, 266, 27850, 873, 16, 2686, 478, 301, 342, 919, 470, 34565, 333, 3637, 13037, 289, 9904, 3872, 12298, 18, 2046, 13784, 478, 20181, 2796, 2047, 470, 898, 282, 8023, 29798, 16, 4132, 27126, 16, 45895, 968, 18, 30447, 478, 1464, 24347, 4640, 266, 470, 4374, 1472, 4426, 17299, 877, 20551, 8812, 4276, 18, 30858, 742, 7646, 1293, 445, 13694, 11216, 309, 965, 18, 439, 282, 3709, 411, 43194, 510, 785, 309, 3968, 476, 2594, 281, 19671, 628, 1011, 8462, 416, 10376, 22201, 2135, 528, 11759, 280, 1041, 324, 4223, 14249, 2502, 1736, 2169, 1465, 1624, 1684, 25474, 1510, 3546, 798, 22361, 4790, 890, 1624, 510, 289, 4521, 4176, 8616, 18, 14134, 22542, 282, 24362, 8999, 11216, 45582, 282, 2398, 20551, 8812, 4276, 18, 41440, 3056, 329, 7889, 2059, 4966, 8753, 5979, 37241, 5514, 1134, 309, 20550, 2107, 18, 29431, 363, 1034, 20333, 281, 7518, 17, 1515, 265, 4995, 43450, 1116, 2175, 322, 7757, 282, 24221, 1011, 22615, 507, 13653, 510, 11216, 9031, 282, 38756, 18, 439, 17325, 4832, 347, 347, 459, 818, 466, 7876, 282, 36725, 35111, 18416, 2895, 49688, 8367, 17771, 269, 32580, 3064, 18, 478, 20181, 2796, 2750, 470, 5514, 5656, 764, 1143, 289, 2913, 968, 16, 367, 1548, 1595, 774, 2697, 2820, 9621, 1154, 18, 44906, 848, 1241, 486, 342, 1011, 24863, 25302, 4231, 324, 403, 831, 334, 43871, 45798, 42905, 1612, 30574, 1412, 2022, 15702, 424, 34874, 888, 7889, 7646, 18, 385, 2733, 12932, 7739, 1157, 12357, 309, 23511, 18, 459, 827, 316, 687, 745, 6745, 16, 1851, 21477, 773, 4128, 8023, 18070, 567, 7422, 44056, 18, 8110, 862, 567, 2992, 11053, 475, 281, 37253, 20848, 807, 5274, 5363, 718, 473, 1408, 428, 373, 3813, 16, 753, 16353, 38659, 18851, 16, 428, 28450, 978, 34815, 24900, 837, 309, 27304, 814, 817, 7304, 10457, 2538, 349, 16960, 294, 18573, 18059, 1081, 309, 25803, 47702, 24900, 276, 26878, 28253, 6452, 507, 768, 748, 9672, 507, 18, 478, 20181, 2796, 2750, 470, 37095, 477, 12932, 491, 30, 20, 289, 16, 3903, 16, 3207, 334, 9654, 309, 9567, 2244, 18, 996, 2650, 289, 11730, 519, 5953, 17, 295, 7130, 18, 439, 971, 349, 7109, 1879, 478, 1464, 24347, 4640, 266, 470, 17363, 1421, 45185, 37253, 282, 8999, 18416 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4522, 1920, 294, 2384, 1616, 18, 15520, 840, 23708, 300, 289, 656, 33150, 1007, 687, 309, 8955, 18, 510, 4800, 2255, 454, 4086, 685, 35, 510, 1178, 16044, 1109, 16, 374, 1003, 16, 2862, 16, 417, 1329, 309, 1177, 2948, 2023, 322, 2447, 18, 1606, 14963, 3003, 18, 510, 2877, 475, 656, 10668, 16, 4427, 387, 25732, 282, 8616, 13224, 2947, 401, 655, 510, 2502, 2356, 24794, 5, 5005, 475, 975, 28439, 16, 753, 492, 41026, 46234, 16, 367, 329, 1047, 4753, 6106, 639, 18, 817, 12122, 709, 1728, 12213, 289, 17363, 18, 740, 1188, 4027, 496, 2422, 1176, 939, 10193, 12987, 8566, 505, 9376, 4309, 18, 2877, 492, 2715, 309, 870, 1694, 18, 510, 6290, 37131, 5325, 28953, 965, 28812, 4269, 294, 32524, 35, 510, 1345, 1494, 28812, 548, 294, 32524, 18, 832, 294, 32524, 16, 367, 31153, 294, 10853, 18, 1937, 594, 420, 638, 3300, 16, 374, 11215, 1003, 1329, 3235, 9849, 400, 16, 453, 8030, 3624, 18, 889, 424, 843, 17808, 18, 510, 1397, 26498, 9949, 4466, 3495, 344, 4086, 11331, 21484, 781, 520, 387, 16, 374, 49742, 16, 322, 9556, 275, 975, 1756, 4183, 19671, 521, 35, 510, 817, 16480, 19647, 695, 18, 740, 827, 373, 417, 757, 475, 9078, 2158, 16, 502, 12175, 373, 453, 575, 18, 510, 1397, 11655, 5251, 2165, 35, 510, 1345, 773, 40900, 16, 2862, 481, 7634, 5596, 7193, 18, 510, 38013, 15512, 1299, 13744, 5049, 1205, 282, 403, 546, 296, 10156, 655, 510, 889, 5517, 18, 3397, 1381, 2240, 6402, 5901, 18, 459, 8404, 1336, 541, 978, 18, 510, 17369, 520, 33334, 4505, 6281, 35, 510, 23033, 315, 2023, 18, 5360, 639, 1882, 1800, 18, 34231, 16, 428, 492, 840, 965, 12259, 2915, 18, 365, 2343, 656, 8105, 1166, 282, 1871, 12296, 30556, 16, 2391, 1513, 690, 263, 2153, 289, 7842, 12032, 18, 510, 15520, 1373, 840, 4137, 6732, 18, 889, 3599, 670, 575, 39130, 11440, 309, 8616, 35, 510, 889, 5854, 5478, 18, 2787, 912, 16, 2152, 5098, 15793, 473, 30928, 17014, 510, 43642, 5030, 11347, 281, 28265, 271, 2509, 289, 38013, 1616, 635, 282, 15301, 29235, 18, 510, 981, 16, 656, 6547, 5836, 334, 8954, 7977, 18, 459, 5375, 5230, 12520, 16, 428, 8928, 990, 16, 428, 15831, 649, 5199, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 43901, 510, 3771, 18, 11333, 6034, 16, 7036, 16, 7005, 289, 25956, 942, 5298, 309, 7759, 7561, 2422, 334, 40730, 17, 13733, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 20181, 2796, 2750, 470, 289, 478, 1464, 24347, 4640, 266, 470, 34406, 10779, 2403, 21477, 282, 450, 1701, 9152, 476, 16, 3227, 8521, 48372, 18653, 1742, 10133, 4039, 13767, 12815, 476, 600, 607, 18, 19770, 3583, 322, 6597, 46512, 1215, 726, 309, 7266, 3405, 9691, 16, 1794, 331, 7470, 18256, 17786, 478, 1464, 24347, 4640, 354, 470, 1103, 29791, 519, 1286, 16287, 18, 31224, 30, 822, 1701, 27850, 1162, 478, 20181, 2796, 2750, 470, 289, 478, 1464, 24347, 4640, 266, 470, 2384, 1313, 309, 478, 563, 2711, 1501, 459, 554, 324, 35605, 470, 1283, 1166, 282, 10882, 9318, 4039, 13767, 12815, 476, 600, 607, 18, 9046, 4990, 14007, 2553, 289, 5222, 16642, 8900, 13694, 5536, 5250, 44200, 30423, 16, 1029, 16, 9705, 16, 282, 5975, 808, 13309, 939, 10660, 18, 478, 1464, 342, 919, 470, 1188, 22232, 281, 450, 1701, 9152, 3663, 6984, 4256, 7821, 48305, 1794, 331, 7470, 25743, 19311, 16, 282, 2588, 4492, 14269, 1032, 9764, 289, 430, 537, 11867, 18, 740, 374, 481, 334, 7413, 281, 9776, 355, 478, 20181, 2796, 2047, 470, 3487, 4015, 315, 17, 9500, 3171, 322, 18042, 1166, 309, 7266, 3695, 4466, 16, 48253, 2123, 16287, 289, 1032, 5295, 274, 294, 537, 19090, 18, 3863, 6441, 15344, 3216, 536, 11529, 3663, 289, 1011, 4466, 477, 478, 1464, 24347, 4640, 496, 470, 1177, 15513, 685, 6973, 637, 18, 19823, 520, 1085, 17, 299, 26661, 309, 502, 16, 374, 4446, 16, 5709, 274, 1617, 478, 32959, 35380, 276, 910, 15018, 4716, 4024, 3025, 15825, 18, 24397, 289, 322, 4983, 18, 35652, 4847, 659, 323, 1833, 575, 2337, 1076, 538, 1328, 266, 27850, 873, 16, 2686, 478, 301, 342, 919, 470, 34565, 333, 3637, 13037, 289, 9904, 3872, 12298, 18, 2046, 13784, 478, 20181, 2796, 2047, 470, 898, 282, 8023, 29798, 16, 4132, 27126, 16, 45895, 968, 18, 30447, 478, 1464, 24347, 4640, 266, 470, 4374, 1472, 4426, 17299, 877, 20551, 8812, 4276, 18, 30858, 742, 7646, 1293, 445, 13694, 11216, 309, 965, 18, 439, 282, 3709, 411, 43194, 510, 785, 309, 3968, 476, 2594, 281, 19671, 628, 1011, 8462, 416, 10376, 22201, 2135, 528, 11759, 280, 1041, 324, 4223, 14249, 2502, 1736, 2169, 1465, 1624, 1684, 25474, 1510, 3546, 798, 22361, 4790, 890, 1624, 510, 289, 4521, 4176, 8616, 18, 14134, 22542, 282, 24362, 8999, 11216, 45582, 282, 2398, 20551, 8812, 4276, 18, 41440, 3056, 329, 7889, 2059, 4966, 8753, 5979, 37241, 5514, 1134, 309, 20550, 2107, 18, 29431, 363, 1034, 20333, 281, 7518, 17, 1515, 265, 4995, 43450, 1116, 2175, 322, 7757, 282, 24221, 1011, 22615, 507, 13653, 510, 11216, 9031, 282, 38756, 18, 439, 17325, 4832, 347, 347, 459, 818, 466, 7876, 282, 36725, 35111, 18416, 2895, 49688, 8367, 17771, 269, 32580, 3064, 18, 478, 20181, 2796, 2750, 470, 5514, 5656, 764, 1143, 289, 2913, 968, 16, 367, 1548, 1595, 774, 2697, 2820, 9621, 1154, 18, 44906, 848, 1241, 486, 342, 1011, 24863, 25302, 4231, 324, 403, 831, 334, 43871, 45798, 42905, 1612, 30574, 1412, 2022, 15702, 424, 34874, 888, 7889, 7646, 18, 385, 2733, 12932, 7739, 1157, 12357, 309, 23511, 18, 459, 827, 316, 687, 745, 6745, 16, 1851, 21477, 773, 4128, 8023, 18070, 567, 7422, 44056, 18, 8110, 862, 567, 2992, 11053, 475, 281, 37253, 20848, 807, 5274, 5363, 718, 473, 1408, 428, 373, 3813, 16, 753, 16353, 38659, 18851, 16, 428, 28450, 978, 34815, 24900, 837, 309, 27304, 814, 817, 7304, 10457, 2538, 349, 16960, 294, 18573, 18059, 1081, 309, 25803, 47702, 24900, 276, 26878, 28253, 6452, 507, 768, 748, 9672, 507, 18, 478, 20181, 2796, 2750, 470, 37095, 477, 12932, 491, 30, 20, 289, 16, 3903, 16, 3207, 334, 9654, 309, 9567, 2244, 18, 996, 2650, 289, 11730, 519, 5953, 17, 295, 7130, 18, 439, 971, 349, 7109, 1879, 478, 1464, 24347, 4640, 266, 470, 17363, 1421, 45185, 37253, 282, 8999, 18416 ]
[ 2895, 49688, 8367, 16, 12436, 2617, 475, 281, 4091, 309, 2398, 5, 18, 7909, 4832, 347, 280, 459, 818, 466, 2882, 22958, 364, 19671, 521, 289, 11216, 334, 16323, 43542, 18, 3575, 1034, 20333, 16, 16104, 345, 13049, 349, 25083, 282, 5572, 44056, 16, 1684, 25474, 28253, 16, 19671, 521, 289, 4233, 275, 15702, 282, 24362, 8999, 18, 439, 282, 6259, 1979, 1223, 1500, 575, 1034, 20333, 16, 48453, 282, 10556, 668, 1011, 10068, 403, 831, 16, 7730, 46244, 2234, 5335, 424, 12268, 1757, 309, 26318, 12115, 19671, 628, 18, 816, 30, 22, 282, 4356, 478, 1464, 24347, 4640, 354, 470, 510, 32689, 37088, 16, 367, 9888, 12886, 42215, 2770, 609, 887, 18, 17958, 5039, 403, 3200, 293, 2780, 2240, 26403, 18, 640, 4577, 7451, 30817, 5002, 312, 397, 289, 6061, 21170, 460, 283, 18, 459, 481, 26285, 6441, 18, 768, 748, 9672, 267, 16, 46063, 329, 7889, 21755, 1011, 17696, 37073, 346, 16, 38727, 11216, 309, 5625, 36725, 289, 3521, 315, 289, 16641, 2820, 37103, 282, 13757, 883, 6421, 18, 439, 971, 21170, 460, 283, 1011, 19449, 1040, 7671, 30574, 1412, 2022, 11216, 282, 478, 5486, 530, 454, 19461, 608, 318, 564, 309, 19424, 2165, 8018, 1374, 520, 3340, 1525, 16, 515, 289, 481, 685, 764, 322, 6398, 18, 3791, 18447, 1510, 309, 25283, 31275, 528, 645, 1458, 282, 21312, 14570, 808, 1011, 7756, 15406, 30556, 17701, 3424, 3221, 4165, 2948, 16, 371, 32886, 1360, 10434, 13514, 957, 18, 832, 25469, 282, 27596, 445, 31554, 554, 478, 1464, 24347, 4640, 266, 910, 322, 46621, 282, 3405, 17, 295, 445, 9410, 289, 478, 20181, 2796, 2750, 861, 2046, 1542, 19923, 1949, 12994, 1642, 895, 17031, 3124, 1328, 266, 27850, 4287, 282, 14007, 680, 34042, 18, 11333, 7036, 12815, 476, 600, 607, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 5306, 18, 2, 1, 87, 1456, 81, 2448, 30, 12003, 16084, 16355, 1262, 18164, 14118, 14888, 13060, 2102, 1634, 28654, 18, 365, 12013, 378, 983, 1098, 13397, 873, 309, 1360, 14597, 40900, 478, 13781, 910, 6830, 275, 282, 6940, 445, 16, 374, 30667, 9518, 541, 4966, 27450, 6993, 36462, 18, 31224, 30, 12003, 16084, 16355, 1262, 18164, 478, 13781, 470, 35049, 14118, 29142, 13270, 282, 25881, 11258, 18, 8859, 13397, 873, 3226, 17279, 326, 5462, 454, 5790, 18, 42420, 5284, 2158, 20113, 16355, 1262, 14118, 898, 316, 5782, 282, 20035, 22567, 46788, 9827, 304, 16, 515, 2512, 16104, 345, 13656, 282, 42620, 35772, 28737, 18, 2112, 978, 42215, 39079, 16, 374, 3888, 3860, 4966, 6933, 10487, 18, 2046, 19071, 541, 14118, 475, 575, 764, 11771, 18, 365, 47088, 1637, 45582, 11303, 999, 8216, 375, 1624, 411, 17, 431, 1660, 3711, 935, 26200, 282, 2452, 22051, 18, 740, 374, 26153, 16, 827, 329, 13397, 1275, 2410, 2669, 15826, 3860, 477, 25517, 16, 374, 371, 322, 3453, 1561, 1941, 9547, 26698, 9680, 2818, 3040, 1219, 26265, 6484, 18, 365, 20330, 464, 7977, 329, 13397, 1275, 18795, 3860, 18, 1681, 2200, 11200, 304, 745, 2410, 1269, 34463, 7739, 3033, 18, 44658, 300, 2931, 16, 14915, 1310, 5269, 16, 289, 28984, 1779, 1375, 894, 43078, 7179, 28915, 1869, 13138, 307, 23156, 2500, 12839, 27126, 21755, 18, 459, 935, 14777, 19345, 8922, 282, 5199, 7857, 2356, 41315, 507, 6730, 322, 15819, 1738, 18, 10512, 33901, 14596, 8824, 349, 39208, 651, 1939, 30, 3902, 18, 365, 3998, 2992, 23523, 14673, 3536, 873, 2500, 2957, 4030, 19802, 16, 515, 2512, 329, 22095, 17, 18967, 770, 13487, 45872, 839, 3860, 18, 1665, 1745, 322, 3005, 745, 8662, 282, 14274, 16, 1655, 428, 13397, 873, 4732, 41969, 40415, 13437, 18, 459, 428, 6441, 16, 309, 3084, 23511, 14118, 7777, 1121, 274, 282, 20545, 651, 9690, 30, 8914, 18, 2046, 282, 34979, 546, 43813, 454, 478, 13781, 470, 6709, 23474, 1851, 17, 299, 29455, 18, 5661, 4345, 7859, 16, 374, 282, 3998, 14515, 23523, 11216, 424, 18459, 2900, 478, 48466, 354, 919, 413, 470, 39243, 3858, 1291, 282, 3300, 18, 5043, 16, 289, 478, 13781, 470, 322, 47548, 576, 1634, 8941, 2409, 27665, 3334, 39341, 16, 2686, 1715, 349, 3103, 1879, 475, 575, 7737, 6863, 4024, 18, 740, 9901, 22095, 17, 18967, 770, 2693, 322, 1103, 41212, 18, 6001, 296, 4083, 289, 7857, 2356, 37292, 562, 36129, 14118, 4024, 18, 459, 685, 9700, 8945, 24788, 5462, 382, 16, 515, 13397, 873, 773, 322, 1077, 841, 10316, 18, 365, 6031, 282, 12549, 1734, 5462, 582, 14673, 3536, 873, 7166, 1166, 8955, 18, 439, 14118, 282, 6940, 445, 7846, 16, 374, 1542, 7193, 895, 18042, 874, 16, 374, 282, 25881, 11258, 329, 1710, 7155, 2410, 2669, 18, 478, 3096, 1062, 3111, 18, 34596, 5157, 954, 322, 895, 953, 453, 5473, 670, 15662, 5828, 30335, 16, 510, 2815, 1011, 7977, 289, 18, 262, 18, 8300, 17799, 14118, 6370, 1034, 4548, 1452, 18, 651, 3759, 1247, 25811, 14753, 18, 403, 6095, 16, 322, 3837, 16, 374, 2874, 21188, 6354, 1248, 16141, 20166, 20113, 11142, 1728, 4999, 18, 1345, 28589, 445, 5780, 290, 2079, 274, 17813, 16, 25784, 655, 4338, 656, 15545, 414, 309, 14597, 15198, 8984, 2768, 16, 322, 1763, 7092, 3437, 717, 8205, 16, 10556, 448, 16, 1174, 2853, 2560, 447, 309, 478, 272, 4330, 861, 365, 2114, 726, 8267, 322, 5087, 27714, 12662, 12994, 18, 3397, 687, 21797, 17670, 887, 309, 7422, 2468, 16, 4426, 25307, 478, 13555, 432, 4035, 526, 512, 470, 1195, 478, 29428, 304, 861, 48878, 16, 374, 9770, 1314, 2397, 2990, 309, 9874, 12094, 839, 4075, 651, 417, 371, 597, 697, 281, 36072, 861, 478, 730, 1117, 25307, 18, 16494, 16568, 315, 20850, 329, 14118, 18, 3557, 1033, 309, 697, 14597, 16, 510, 2815, 6548, 9680, 478, 13781, 470, 4210, 44788, 43110, 18, 510, 1345, 10660, 4732, 16, 1830, 14118, 6274, 6281, 282, 3177, 1962, 16894, 48860, 610, 339, 10198, 18, 6023, 639, 4748, 11187, 697, 6281, 282, 4413, 12065, 482, 18, 608, 813, 322, 939, 19846, 282, 4056, 11053, 18, 2660, 5364, 19846, 16, 17119, 376, 1003, 18, 1345, 1904, 4732, 27691, 14596, 16, 289, 481, 834, 5799, 48140, 14472, 18, 2667, 44368, 17, 264, 29873, 656, 34447, 11274, 368, 1286, 30, 20, 16, 374, 834, 5799, 813, 282, 5199, 18, 629, 6317, 16, 374, 282, 5462, 582, 282, 453, 14948, 9347, 656, 16831, 33950, 4075, 18, 41231, 12525, 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 ]
[ 2895, 49688, 8367, 16, 12436, 2617, 475, 281, 4091, 309, 2398, 5, 18, 7909, 4832, 347, 280, 459, 818, 466, 2882, 22958, 364, 19671, 521, 289, 11216, 334, 16323, 43542, 18, 3575, 1034, 20333, 16, 16104, 345, 13049, 349, 25083, 282, 5572, 44056, 16, 1684, 25474, 28253, 16, 19671, 521, 289, 4233, 275, 15702, 282, 24362, 8999, 18, 439, 282, 6259, 1979, 1223, 1500, 575, 1034, 20333, 16, 48453, 282, 10556, 668, 1011, 10068, 403, 831, 16, 7730, 46244, 2234, 5335, 424, 12268, 1757, 309, 26318, 12115, 19671, 628, 18, 816, 30, 22, 282, 4356, 478, 1464, 24347, 4640, 354, 470, 510, 32689, 37088, 16, 367, 9888, 12886, 42215, 2770, 609, 887, 18, 17958, 5039, 403, 3200, 293, 2780, 2240, 26403, 18, 640, 4577, 7451, 30817, 5002, 312, 397, 289, 6061, 21170, 460, 283, 18, 459, 481, 26285, 6441, 18, 768, 748, 9672, 267, 16, 46063, 329, 7889, 21755, 1011, 17696, 37073, 346, 16, 38727, 11216, 309, 5625, 36725, 289, 3521, 315, 289, 16641, 2820, 37103, 282, 13757, 883, 6421, 18, 439, 971, 21170, 460, 283, 1011, 19449, 1040, 7671, 30574, 1412, 2022, 11216, 282, 478, 5486, 530, 454, 19461, 608, 318, 564, 309, 19424, 2165, 8018, 1374, 520, 3340, 1525, 16, 515, 289, 481, 685, 764, 322, 6398, 18, 3791, 18447, 1510, 309, 25283, 31275, 528, 645, 1458, 282, 21312, 14570, 808, 1011, 7756, 15406, 30556, 17701, 3424, 3221, 4165, 2948, 16, 371, 32886, 1360, 10434, 13514, 957, 18, 832, 25469, 282, 27596, 445, 31554, 554, 478, 1464, 24347, 4640, 266, 910, 322, 46621, 282, 3405, 17, 295, 445, 9410, 289, 478, 20181, 2796, 2750, 861, 2046, 1542, 19923, 1949, 12994, 1642, 895, 17031, 3124, 1328, 266, 27850, 4287, 282, 14007, 680, 34042, 18, 11333, 7036, 12815, 476, 600, 607, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 5306, 18, 2, 1, 87, 1456, 81, 2448, 30, 12003, 16084, 16355, 1262, 18164, 14118, 14888, 13060, 2102, 1634, 28654, 18, 365, 12013, 378, 983, 1098, 13397, 873, 309, 1360, 14597, 40900, 478, 13781, 910, 6830, 275, 282, 6940, 445, 16, 374, 30667, 9518, 541, 4966, 27450, 6993, 36462, 18, 31224, 30, 12003, 16084, 16355, 1262, 18164, 478, 13781, 470, 35049, 14118, 29142, 13270, 282, 25881, 11258, 18, 8859, 13397, 873, 3226, 17279, 326, 5462, 454, 5790, 18, 42420, 5284, 2158, 20113, 16355, 1262, 14118, 898, 316, 5782, 282, 20035, 22567, 46788, 9827, 304, 16, 515, 2512, 16104, 345, 13656, 282, 42620, 35772, 28737, 18, 2112, 978, 42215, 39079, 16, 374, 3888, 3860, 4966, 6933, 10487, 18, 2046, 19071, 541, 14118, 475, 575, 764, 11771, 18, 365, 47088, 1637, 45582, 11303, 999, 8216, 375, 1624, 411, 17, 431, 1660, 3711, 935, 26200, 282, 2452, 22051, 18, 740, 374, 26153, 16, 827, 329, 13397, 1275, 2410, 2669, 15826, 3860, 477, 25517, 16, 374, 371, 322, 3453, 1561, 1941, 9547, 26698, 9680, 2818, 3040, 1219, 26265, 6484, 18, 365, 20330, 464, 7977, 329, 13397, 1275, 18795, 3860, 18, 1681, 2200, 11200, 304, 745, 2410, 1269, 34463, 7739, 3033, 18, 44658, 300, 2931, 16, 14915, 1310, 5269, 16, 289, 28984, 1779, 1375, 894, 43078, 7179, 28915, 1869, 13138, 307, 23156, 2500, 12839, 27126, 21755, 18, 459, 935, 14777, 19345, 8922, 282, 5199, 7857, 2356, 41315, 507, 6730, 322, 15819, 1738, 18, 10512, 33901, 14596, 8824, 349, 39208, 651, 1939, 30, 3902, 18, 365, 3998, 2992, 23523, 14673, 3536, 873, 2500, 2957, 4030, 19802, 16, 515, 2512, 329, 22095, 17, 18967, 770, 13487, 45872, 839, 3860, 18, 1665, 1745, 322, 3005, 745, 8662, 282, 14274, 16, 1655, 428, 13397, 873, 4732, 41969, 40415, 13437, 18, 459, 428, 6441, 16, 309, 3084, 23511, 14118, 7777, 1121, 274, 282, 20545, 651, 9690, 30, 8914, 18, 2046, 282, 34979, 546, 43813, 454, 478, 13781, 470, 6709, 23474, 1851, 17, 299, 29455, 18, 5661, 4345, 7859, 16, 374, 282, 3998, 14515, 23523, 11216, 424, 18459, 2900, 478, 48466, 354, 919, 413, 470, 39243, 3858, 1291, 282, 3300, 18, 5043, 16, 289, 478, 13781, 470, 322, 47548, 576, 1634, 8941, 2409, 27665, 3334, 39341, 16, 2686, 1715, 349, 3103, 1879, 475, 575, 7737, 6863, 4024, 18, 740, 9901, 22095, 17, 18967, 770, 2693, 322, 1103, 41212, 18, 6001, 296, 4083, 289, 7857, 2356, 37292, 562, 36129, 14118, 4024, 18, 459, 685, 9700, 8945, 24788, 5462, 382, 16, 515, 13397, 873, 773, 322, 1077, 841, 10316, 18, 365, 6031, 282, 12549, 1734, 5462, 582, 14673, 3536, 873, 7166, 1166, 8955, 18, 439, 14118, 282, 6940, 445, 7846, 16, 374, 1542, 7193, 895, 18042, 874, 16, 374, 282, 25881, 11258, 329, 1710, 7155, 2410, 2669, 18, 478, 3096, 1062, 3111, 18, 34596, 5157, 954, 322, 895, 953, 453, 5473, 670, 15662, 5828, 30335, 16, 510, 2815, 1011, 7977, 289, 18, 262, 18, 8300, 17799, 14118, 6370, 1034, 4548, 1452, 18, 651, 3759, 1247, 25811, 14753, 18, 403, 6095, 16, 322, 3837, 16, 374, 2874, 21188, 6354, 1248, 16141, 20166, 20113, 11142, 1728, 4999, 18, 1345, 28589, 445, 5780, 290, 2079, 274, 17813, 16, 25784, 655, 4338, 656, 15545, 414, 309, 14597, 15198, 8984, 2768, 16, 322, 1763, 7092, 3437, 717, 8205, 16, 10556, 448, 16, 1174, 2853, 2560, 447, 309, 478, 272, 4330, 861, 365, 2114, 726, 8267, 322, 5087, 27714, 12662, 12994, 18, 3397, 687, 21797, 17670, 887, 309, 7422, 2468, 16, 4426, 25307, 478, 13555, 432, 4035, 526, 512, 470, 1195, 478, 29428, 304, 861, 48878, 16, 374, 9770, 1314, 2397, 2990, 309, 9874, 12094, 839, 4075, 651, 417, 371, 597, 697, 281, 36072, 861, 478, 730, 1117, 25307, 18, 16494, 16568, 315, 20850, 329, 14118, 18, 3557, 1033, 309, 697, 14597, 16, 510, 2815, 6548, 9680, 478, 13781, 470, 4210, 44788, 43110, 18, 510, 1345, 10660, 4732, 16, 1830, 14118, 6274, 6281, 282, 3177, 1962, 16894, 48860, 610, 339, 10198, 18, 6023, 639, 4748, 11187, 697, 6281, 282, 4413, 12065, 482, 18, 608, 813, 322, 939, 19846, 282, 4056, 11053, 18, 2660, 5364, 19846, 16, 17119, 376, 1003, 18, 1345, 1904, 4732, 27691, 14596, 16, 289, 481, 834, 5799, 48140, 14472, 18, 2667, 44368, 17, 264, 29873, 656, 34447, 11274, 368, 1286, 30, 20, 16, 374, 834, 5799, 813, 282, 5199, 18, 629, 6317, 16, 374, 282, 5462, 582, 282, 453, 14948, 9347, 656, 16831, 33950, 4075, 18, 41231, 12525, 16 ]
[ 309, 1639, 656, 5087, 18908, 376, 961, 9936, 10668, 16, 428, 14118, 9988, 282, 13441, 18, 459, 481, 41483, 5199, 861, 11333, 7036, 32435, 28915, 1869, 942, 5298, 309, 7759, 7561, 1175, 1492, 2, 1, 87, 1456, 81, 2448, 30, 43589, 34858, 32813, 289, 16852, 19125, 2572, 401, 7451, 282, 23708, 300, 14452, 282, 7907, 6189, 263, 18, 365, 37131, 962, 34858, 32813, 42100, 332, 19753, 569, 2825, 29816, 272, 10071, 16028, 16, 367, 19125, 2572, 401, 38552, 282, 3437, 281, 13021, 6523, 454, 439, 306, 353, 1192, 312, 552, 18, 31224, 30, 3096, 453, 2944, 31089, 26006, 14770, 41446, 1465, 44864, 27538, 24009, 10429, 2523, 16628, 18769, 16, 367, 505, 11526, 564, 1951, 2203, 726, 30234, 45376, 309, 10844, 47192, 18, 31529, 48618, 382, 939, 8103, 23054, 309, 19843, 282, 7907, 6189, 263, 282, 27500, 476, 18, 29658, 309, 803, 19843, 371, 966, 576, 3455, 2852, 1135, 16, 515, 16, 294, 6095, 16, 6816, 13465, 401, 289, 9409, 378, 610, 3340, 387, 30011, 309, 25319, 46644, 18, 12404, 46621, 567, 7422, 38529, 33388, 1153, 2151, 440, 32863, 1624, 367, 378, 610, 3340, 282, 5572, 575, 30884, 464, 49266, 282, 3437, 281, 13021, 11106, 599, 426, 16048, 552, 292, 1161, 18, 740, 567, 7422, 38529, 16048, 552, 2576, 272, 27998, 26568, 14565, 12829, 485, 510, 16852, 19125, 2572, 401, 11623, 30346, 329, 5564, 416, 1694, 1645, 2615, 4601, 289, 37095, 567, 7422, 18, 48790, 23843, 16, 374, 2240, 1336, 1143, 7908, 16, 16048, 552, 32143, 2055, 271, 977, 309, 34840, 289, 18889, 360, 24176, 7811, 18, 365, 37131, 962, 19125, 4764, 272, 7111, 576, 27849, 282, 5503, 6523, 382, 439, 306, 353, 1192, 5307, 18, 824, 2004, 368, 20975, 939, 29815, 1116, 16, 515, 11854, 343, 6276, 411, 1047, 27232, 5793, 18, 16852, 19125, 2572, 401, 473, 11825, 13, 510, 439, 306, 353, 1192, 5307, 473, 1358, 1369, 542, 13, 510, 1286, 30, 21, 16, 816, 30, 26, 16, 1286, 30, 21, 37601, 48253, 2615, 4601, 16, 16852, 2734, 20086, 27460, 567, 7422, 18, 28578, 1162, 48618, 343, 6938, 6393, 15814, 29302, 21285, 289, 2756, 8714, 1033, 8607, 24226, 18, 19125, 2572, 401, 5915, 322, 1965, 9013, 294, 13265, 16216, 552, 289, 12376, 15958, 46621, 18, 2046, 2512, 6295, 2156, 11255, 18996, 30, 11854, 343, 24317, 281, 9640, 289, 16536, 1154, 7739, 2825, 16, 47579, 1450, 282, 14515, 4623, 1223, 1472, 1176, 30134, 18, 365, 23708, 962, 329, 19125, 4764, 323, 840, 2678, 764, 445, 29284, 7583, 6506, 447, 800, 510, 349, 2019, 23356, 678, 34611, 847, 281, 2151, 440, 32863, 18, 832, 20846, 16, 374, 282, 1750, 9764, 16, 282, 29437, 8267, 14452, 16852, 42295, 281, 19753, 569, 5793, 4084, 355, 34858, 32813, 18, 5154, 307, 29606, 4601, 343, 5415, 18996, 2733, 2175, 16, 374, 282, 37131, 962, 8971, 843, 6816, 415, 546, 1645, 324, 3711, 6281, 281, 29816, 323, 10071, 35489, 18, 13191, 7739, 2203, 2271, 1569, 8056, 18653, 1505, 24766, 16, 282, 1639, 773, 41568, 322, 4289, 15170, 21680, 645, 382, 18, 3266, 1880, 36441, 7820, 939, 8111, 536, 18, 7200, 4601, 31089, 3298, 17, 296, 1532, 635, 16, 1029, 281, 2418, 17, 361, 26345, 669, 30346, 34858, 32813, 18, 1591, 7422, 281, 781, 10071, 5539, 726, 322, 9253, 16930, 2900, 575, 48087, 18956, 289, 282, 6031, 49266, 18, 7758, 7739, 2203, 10258, 309, 1040, 464, 1033, 1949, 3139, 18, 365, 23708, 962, 34858, 32813, 31834, 281, 47922, 761, 1860, 287, 416, 403, 8867, 1316, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 7422, 38529, 478, 730, 303, 363, 5409, 648, 470, 16974, 44497, 349, 15680, 1879, 42100, 332, 28665, 27586, 24658, 392, 17, 9865, 21682, 306, 5379, 877, 18, 45098, 1231, 549, 424, 2511, 17, 277, 21908, 11854, 343, 8423, 5807, 4523, 449, 1736, 301, 349, 13270, 309, 34194, 1212, 19843, 1234, 15319, 282, 2101, 4938, 263, 18, 2228, 464, 13440, 282, 7504, 3098, 1038, 13721, 332, 25486, 4104, 623, 928, 3340, 18, 31224, 30, 630, 1939, 17, 17827, 24658, 404, 17, 9865, 21682, 265, 5379, 877, 40140, 1011, 14452, 282, 2101, 4938, 263, 16, 988, 16, 33656, 1248, 23258, 1066, 16, 28665, 19305, 32268, 519, 21451, 18, 981, 764, 289, 38552, 282, 23708, 962, 20262, 44249, 392, 29308, 272, 18, 893, 31655, 25341, 1613, 42251, 1126, 761, 8753, 323, 19040, 1011, 14378, 22941, 282, 3507, 18, 832, 18291, 575, 282, 2101, 4938, 306, 44497, 322, 3207, 411, 17, 431, 20394, 1188, 24589, 22521, 18, 459, 475, 575, 322, 2552, 1119, 11350, 17, 275, 11472, 8187, 343, 2422, 289, 1097, 11402, 48618, 343, 411, 3609, 17, 3114, 18042, 1211, 7739, 2827, 16, 1586, 42171, 2712, 309, 13216, 1251, 4056, 289, 2992, 44054, 289, 1360, 3148, 2840, 17029, 43958, 282, 5630, 3610, 1678, 7483, 22122, 440, 2541, 2422, 18, 2112, 9764, 1195, 28580, 1161, 42873, 28665, 19305, 16, 322, 2691, 3833, 1712, 4116, 10740, 2009, 4612, 28546, 294, 6905, 8660, 416, 35193, 913, 16, 10703, 289, 290, 970, 16, 374, 722, 5216, 26434, 906, 34682, 23784, 16, 289, 290, 970, 16, 374, 14106, 808, 678, 322, 3207, 7694, 1251, 22122, 3032, 289, 336, 1191, 296, 10667, 473, 404, 5730, 322, 5382, 290, 7601, 1165, 282, 1967, 32771, 7928, 45984, 289, 290, 970, 16, 374, 282, 18258, 808, 7281, 8705, 282, 4889, 281, 11206, 289, 334, 46844, 18, 365, 803, 678, 322, 6962, 19055, 18, 1895, 1736, 301, 28580, 1161, 349, 29511, 10996, 13270, 282, 12335, 20975, 4965, 37054, 5966, 18, 640, 21772, 4378, 11283, 282, 7504, 3098, 16974, 10070, 4318, 1223, 15680, 1879, 16, 47579, 7739, 2827, 334, 14010, 597, 282, 7252, 281, 781, 18, 3759, 1337, 322, 2101, 4938, 274, 18, 3747, 282, 12221, 1314, 6621, 1320, 37074, 322, 735, 6473, 18, 684, 38224, 401, 1011, 18890, 5790, 1038, 14899, 290, 3177, 5157, 763, 360, 5379, 877, 282, 12335, 18, 478, 563, 19864, 874, 2101, 4938, 306, 289, 478, 22857, 363, 5409, 648, 26942, 16567, 16, 376, 15875, 29308, 272, 6080, 478, 13261, 861, 651, 8269, 16, 374, 502, 13270, 784, 935, 24065, 18, 27252, 320, 2016, 6276, 281, 2733, 7595, 16, 2521, 5404, 1858, 703, 1684, 18070, 18, 629, 575, 16, 6891, 16, 8146, 30, 478, 7494, 16, 25464, 1490, 1314, 16, 828, 478, 40747, 1034, 1080, 470, 9858, 360, 1817, 4593, 14452, 1234, 15319, 861, 824, 3163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 309, 1639, 656, 5087, 18908, 376, 961, 9936, 10668, 16, 428, 14118, 9988, 282, 13441, 18, 459, 481, 41483, 5199, 861, 11333, 7036, 32435, 28915, 1869, 942, 5298, 309, 7759, 7561, 1175, 1492, 2, 1, 87, 1456, 81, 2448, 30, 43589, 34858, 32813, 289, 16852, 19125, 2572, 401, 7451, 282, 23708, 300, 14452, 282, 7907, 6189, 263, 18, 365, 37131, 962, 34858, 32813, 42100, 332, 19753, 569, 2825, 29816, 272, 10071, 16028, 16, 367, 19125, 2572, 401, 38552, 282, 3437, 281, 13021, 6523, 454, 439, 306, 353, 1192, 312, 552, 18, 31224, 30, 3096, 453, 2944, 31089, 26006, 14770, 41446, 1465, 44864, 27538, 24009, 10429, 2523, 16628, 18769, 16, 367, 505, 11526, 564, 1951, 2203, 726, 30234, 45376, 309, 10844, 47192, 18, 31529, 48618, 382, 939, 8103, 23054, 309, 19843, 282, 7907, 6189, 263, 282, 27500, 476, 18, 29658, 309, 803, 19843, 371, 966, 576, 3455, 2852, 1135, 16, 515, 16, 294, 6095, 16, 6816, 13465, 401, 289, 9409, 378, 610, 3340, 387, 30011, 309, 25319, 46644, 18, 12404, 46621, 567, 7422, 38529, 33388, 1153, 2151, 440, 32863, 1624, 367, 378, 610, 3340, 282, 5572, 575, 30884, 464, 49266, 282, 3437, 281, 13021, 11106, 599, 426, 16048, 552, 292, 1161, 18, 740, 567, 7422, 38529, 16048, 552, 2576, 272, 27998, 26568, 14565, 12829, 485, 510, 16852, 19125, 2572, 401, 11623, 30346, 329, 5564, 416, 1694, 1645, 2615, 4601, 289, 37095, 567, 7422, 18, 48790, 23843, 16, 374, 2240, 1336, 1143, 7908, 16, 16048, 552, 32143, 2055, 271, 977, 309, 34840, 289, 18889, 360, 24176, 7811, 18, 365, 37131, 962, 19125, 4764, 272, 7111, 576, 27849, 282, 5503, 6523, 382, 439, 306, 353, 1192, 5307, 18, 824, 2004, 368, 20975, 939, 29815, 1116, 16, 515, 11854, 343, 6276, 411, 1047, 27232, 5793, 18, 16852, 19125, 2572, 401, 473, 11825, 13, 510, 439, 306, 353, 1192, 5307, 473, 1358, 1369, 542, 13, 510, 1286, 30, 21, 16, 816, 30, 26, 16, 1286, 30, 21, 37601, 48253, 2615, 4601, 16, 16852, 2734, 20086, 27460, 567, 7422, 18, 28578, 1162, 48618, 343, 6938, 6393, 15814, 29302, 21285, 289, 2756, 8714, 1033, 8607, 24226, 18, 19125, 2572, 401, 5915, 322, 1965, 9013, 294, 13265, 16216, 552, 289, 12376, 15958, 46621, 18, 2046, 2512, 6295, 2156, 11255, 18996, 30, 11854, 343, 24317, 281, 9640, 289, 16536, 1154, 7739, 2825, 16, 47579, 1450, 282, 14515, 4623, 1223, 1472, 1176, 30134, 18, 365, 23708, 962, 329, 19125, 4764, 323, 840, 2678, 764, 445, 29284, 7583, 6506, 447, 800, 510, 349, 2019, 23356, 678, 34611, 847, 281, 2151, 440, 32863, 18, 832, 20846, 16, 374, 282, 1750, 9764, 16, 282, 29437, 8267, 14452, 16852, 42295, 281, 19753, 569, 5793, 4084, 355, 34858, 32813, 18, 5154, 307, 29606, 4601, 343, 5415, 18996, 2733, 2175, 16, 374, 282, 37131, 962, 8971, 843, 6816, 415, 546, 1645, 324, 3711, 6281, 281, 29816, 323, 10071, 35489, 18, 13191, 7739, 2203, 2271, 1569, 8056, 18653, 1505, 24766, 16, 282, 1639, 773, 41568, 322, 4289, 15170, 21680, 645, 382, 18, 3266, 1880, 36441, 7820, 939, 8111, 536, 18, 7200, 4601, 31089, 3298, 17, 296, 1532, 635, 16, 1029, 281, 2418, 17, 361, 26345, 669, 30346, 34858, 32813, 18, 1591, 7422, 281, 781, 10071, 5539, 726, 322, 9253, 16930, 2900, 575, 48087, 18956, 289, 282, 6031, 49266, 18, 7758, 7739, 2203, 10258, 309, 1040, 464, 1033, 1949, 3139, 18, 365, 23708, 962, 34858, 32813, 31834, 281, 47922, 761, 1860, 287, 416, 403, 8867, 1316, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 7422, 38529, 478, 730, 303, 363, 5409, 648, 470, 16974, 44497, 349, 15680, 1879, 42100, 332, 28665, 27586, 24658, 392, 17, 9865, 21682, 306, 5379, 877, 18, 45098, 1231, 549, 424, 2511, 17, 277, 21908, 11854, 343, 8423, 5807, 4523, 449, 1736, 301, 349, 13270, 309, 34194, 1212, 19843, 1234, 15319, 282, 2101, 4938, 263, 18, 2228, 464, 13440, 282, 7504, 3098, 1038, 13721, 332, 25486, 4104, 623, 928, 3340, 18, 31224, 30, 630, 1939, 17, 17827, 24658, 404, 17, 9865, 21682, 265, 5379, 877, 40140, 1011, 14452, 282, 2101, 4938, 263, 16, 988, 16, 33656, 1248, 23258, 1066, 16, 28665, 19305, 32268, 519, 21451, 18, 981, 764, 289, 38552, 282, 23708, 962, 20262, 44249, 392, 29308, 272, 18, 893, 31655, 25341, 1613, 42251, 1126, 761, 8753, 323, 19040, 1011, 14378, 22941, 282, 3507, 18, 832, 18291, 575, 282, 2101, 4938, 306, 44497, 322, 3207, 411, 17, 431, 20394, 1188, 24589, 22521, 18, 459, 475, 575, 322, 2552, 1119, 11350, 17, 275, 11472, 8187, 343, 2422, 289, 1097, 11402, 48618, 343, 411, 3609, 17, 3114, 18042, 1211, 7739, 2827, 16, 1586, 42171, 2712, 309, 13216, 1251, 4056, 289, 2992, 44054, 289, 1360, 3148, 2840, 17029, 43958, 282, 5630, 3610, 1678, 7483, 22122, 440, 2541, 2422, 18, 2112, 9764, 1195, 28580, 1161, 42873, 28665, 19305, 16, 322, 2691, 3833, 1712, 4116, 10740, 2009, 4612, 28546, 294, 6905, 8660, 416, 35193, 913, 16, 10703, 289, 290, 970, 16, 374, 722, 5216, 26434, 906, 34682, 23784, 16, 289, 290, 970, 16, 374, 14106, 808, 678, 322, 3207, 7694, 1251, 22122, 3032, 289, 336, 1191, 296, 10667, 473, 404, 5730, 322, 5382, 290, 7601, 1165, 282, 1967, 32771, 7928, 45984, 289, 290, 970, 16, 374, 282, 18258, 808, 7281, 8705, 282, 4889, 281, 11206, 289, 334, 46844, 18, 365, 803, 678, 322, 6962, 19055, 18, 1895, 1736, 301, 28580, 1161, 349, 29511, 10996, 13270, 282, 12335, 20975, 4965, 37054, 5966, 18, 640, 21772, 4378, 11283, 282, 7504, 3098, 16974, 10070, 4318, 1223, 15680, 1879, 16, 47579, 7739, 2827, 334, 14010, 597, 282, 7252, 281, 781, 18, 3759, 1337, 322, 2101, 4938, 274, 18, 3747, 282, 12221, 1314, 6621, 1320, 37074, 322, 735, 6473, 18, 684, 38224, 401, 1011, 18890, 5790, 1038, 14899, 290, 3177, 5157, 763, 360, 5379, 877, 282, 12335, 18, 478, 563, 19864, 874, 2101, 4938, 306, 289, 478, 22857, 363, 5409, 648, 26942, 16567, 16, 376, 15875, 29308, 272, 6080, 478, 13261, 861, 651, 8269, 16, 374, 502, 13270, 784, 935, 24065, 18, 27252, 320, 2016, 6276, 281, 2733, 7595, 16, 2521, 5404, 1858, 703, 1684, 18070, 18, 629, 575, 16, 6891, 16, 8146, 30, 478, 7494, 16, 25464, 1490, 1314, 16, 828, 478, 40747, 1034, 1080, 470, 9858, 360, 1817, 4593, 14452, 1234, 15319, 861, 824, 3163 ]
[ 28580, 1161, 16, 722, 26434, 282, 10264, 808, 4040, 25486, 1345, 328, 884, 18, 478, 6039, 1343, 5404, 16, 753, 477, 2924, 13000, 24063, 28933, 16, 515, 678, 322, 895, 2240, 481, 3857, 16, 376, 24989, 16974, 18, 651, 1345, 328, 884, 895, 13581, 784, 282, 3507, 289, 3891, 387, 18282, 309, 20791, 18, 640, 2710, 17, 299, 6250, 394, 477, 2924, 840, 19108, 28933, 16, 309, 2710, 17, 299, 651, 1345, 328, 884, 18, 832, 3684, 16, 374, 329, 813, 3237, 1578, 2710, 17, 299, 32189, 861, 19823, 520, 16, 2091, 16, 17395, 21519, 332, 309, 4698, 8187, 454, 2422, 2776, 31536, 2785, 465, 32863, 1624, 308, 1167, 15580, 1715, 1272, 4177, 281, 2215, 932, 2785, 15441, 411, 25359, 18, 10482, 16, 322, 5009, 4318, 520, 22244, 1162, 13206, 1423, 20799, 35, 365, 12165, 13189, 7977, 6740, 16883, 309, 478, 730, 303, 363, 5409, 648, 470, 22244, 343, 22474, 18021, 322, 5992, 16, 828, 12398, 1162, 30107, 549, 22280, 18, 6733, 589, 695, 20822, 30107, 12523, 6406, 25486, 4104, 623, 928, 3340, 1624, 4774, 1231, 549, 424, 2418, 17, 277, 21908, 18, 27252, 320, 5793, 11854, 382, 906, 1281, 27, 17, 274, 8187, 343, 2422, 22715, 5002, 572, 18, 22432, 2135, 48618, 343, 1196, 2829, 282, 28747, 42808, 1248, 23258, 1066, 16, 2566, 743, 282, 23376, 32626, 2514, 14452, 6633, 1895, 297, 888, 32543, 19137, 18, 7200, 4601, 4104, 623, 928, 3340, 30346, 329, 5002, 572, 767, 809, 516, 16, 367, 567, 7422, 6054, 13521, 8093, 309, 22428, 18, 5043, 16, 2006, 6054, 35, 365, 49418, 22122, 409, 2174, 5106, 30039, 289, 2406, 18, 4104, 623, 928, 3340, 567, 2992, 4623, 14388, 816, 30, 21, 289, 18096, 9646, 11022, 2846, 14010, 429, 9410, 18, 365, 4784, 16, 1743, 19740, 519, 3298, 17, 296, 1532, 343, 16, 988, 475, 808, 7736, 906, 1169, 343, 18, 12092, 371, 20545, 1061, 30, 24, 282, 4356, 1192, 318, 11854, 343, 30346, 1421, 32657, 9410, 289, 322, 2756, 22033, 1855, 2019, 282, 5421, 3098, 309, 5421, 4601, 18, 459, 453, 1715, 11888, 4177, 13282, 309, 1040, 464, 18, 16102, 7583, 47479, 567, 12241, 2756, 14382, 8583, 466, 12046, 18, 640, 22428, 22738, 2045, 2840, 8187, 582, 14452, 29816, 263, 8426, 18532, 411, 30579, 8583, 466, 12046, 322, 9253, 289, 49266, 282, 1949, 281, 13021, 18, 478, 1358, 4369, 6915, 2410, 1269, 15406, 16, 376, 7332, 1694, 8583, 466, 2106, 323, 6080, 478, 13261, 861, 651, 1483, 3773, 7446, 4056, 17696, 685, 3511, 368, 18, 981, 289, 11187, 6281, 8426, 18532, 453, 16, 428, 678, 322, 7281, 16, 322, 3225, 18, 14586, 10390, 6074, 16, 785, 46258, 2678, 15831, 649, 1907, 4466, 18, 2681, 10261, 282, 870, 13189, 703, 475, 808, 21384, 4583, 861, 769, 6409, 40302, 6544, 294, 9155, 281, 4657, 304, 6729, 304, 24536, 3646, 355, 932, 4774, 26801, 424, 24721, 21908, 26142, 5819, 423, 269, 18, 16582, 3733, 7236, 7739, 3033, 1223, 2852, 14010, 3536, 289, 349, 1808, 289, 3436, 7130, 13721, 271, 2019, 282, 7504, 3098, 18, 11333, 7036, 942, 5298, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 43161, 680, 20902, 17774, 478, 33051, 9070, 470, 35454, 309, 1324, 4368, 25969, 16, 988, 282, 8159, 26198, 281, 14928, 1970, 1703, 478, 44897, 1683, 861, 4406, 3994, 1527, 289, 8959, 839, 18, 3557, 5547, 6347, 9480, 764, 2197, 7547, 1214, 33672, 2503, 16, 14170, 1712, 282, 9804, 309, 1335, 11056, 16, 282, 1754, 9100, 2852, 1135, 18, 31224, 30, 677, 3709, 411, 3322, 26312, 432, 334, 14576, 617, 12466, 13132, 31239, 30495, 7547, 1214, 33672, 2503, 18, 365, 16858, 2847, 1212, 3948, 31814, 282, 10882, 5413, 20554, 5554, 478, 33051, 9070, 470, 27290, 309, 1324, 4368, 25969, 4202, 16, 988, 282, 8159, 26054, 477, 12441, 536, 7932, 22859, 478, 28516, 470, 415, 7641, 682, 11552, 8231, 1175, 16, 371, 25976, 488, 13059, 282, 8657, 283, 1427, 411, 41322, 1767, 18, 1367, 803, 3110, 478, 15210, 470, 477, 7755, 309, 7897, 282, 17329, 20043, 18, 1598, 17, 431, 3084, 23846, 282, 34559, 2662, 5642, 45301, 8724, 3716, 13256, 424, 5059, 435, 424, 40011, 37606, 18, 31139, 17, 419, 13011, 17390, 478, 33051, 877, 1476, 470, 3619, 15649, 17706, 18, 1681, 7011, 23105, 42591, 7151, 414, 505, 18499, 18, 4149, 3711, 3219, 2459, 25300, 7994, 16, 753, 18794, 411, 616, 3732, 3555, 18, 2046, 334, 3427, 282, 13335, 5834, 1135, 16342, 360, 18241, 28564, 289, 10068, 4829, 18, 985, 18479, 10786, 37972, 9597, 16, 2491, 1815, 20554, 25660, 706, 282, 415, 5246, 334, 640, 671, 2818, 32379, 18, 9873, 16979, 282, 21834, 478, 33051, 877, 1476, 470, 8926, 764, 6501, 17390, 18, 1606, 1038, 5684, 15649, 17706, 16, 1314, 14265, 45376, 349, 697, 1805, 18, 415, 4349, 16979, 289, 11462, 14928, 1970, 718, 478, 1140, 11987, 470, 4760, 322, 48273, 18, 34608, 289, 9353, 742, 13631, 1055, 322, 44751, 18, 1397, 44605, 857, 505, 38267, 309, 1324, 4368, 25969, 16, 1055, 10480, 18, 3397, 28869, 1247, 290, 43279, 14132, 1101, 334, 7705, 4016, 24, 11828, 478, 16076, 1979, 44460, 16, 31758, 2284, 334, 28537, 617, 4913, 1631, 470, 473, 660, 4256, 986, 17703, 8124, 814, 14541, 432, 15841, 360, 8231, 43161, 680, 6664, 289, 11552, 8231, 334, 41322, 1767, 1055, 322, 48273, 18, 3557, 5547, 994, 3595, 9597, 6347, 5317, 7482, 764, 2059, 22128, 7547, 1214, 33672, 5619, 16, 14170, 1027, 282, 22967, 282, 9937, 5475, 18, 985, 3110, 8231, 31814, 16, 36835, 13132, 282, 2123, 18, 3324, 309, 1061, 17, 277, 5469, 298, 30877, 801, 40202, 323, 651, 45959, 22403, 16, 11181, 360, 7335, 1614, 9058, 283, 17, 684, 310, 323, 40202, 323, 718, 3700, 18, 31139, 7994, 42910, 17, 22, 2479, 10257, 322, 28291, 281, 18459, 289, 27290, 309, 25969, 1324, 2514, 4202, 18, 3026, 492, 32096, 282, 5993, 451, 9325, 378, 10589, 17, 23, 7181, 11629, 6695, 18, 1268, 10687, 1493, 6589, 5554, 699, 6833, 282, 10165, 3724, 651, 25300, 478, 1098, 15189, 470, 18236, 282, 1758, 554, 15051, 18, 1268, 18241, 3968, 891, 9100, 475, 48877, 282, 21834, 478, 5486, 12948, 462, 15268, 323, 470, 510, 10383, 289, 2846, 38276, 18, 1303, 3994, 1527, 651, 6052, 16, 360, 2555, 519, 4317, 986, 18, 2949, 924, 16, 17706, 289, 17336, 26711, 4996, 20249, 3619, 10383, 24325, 18, 45344, 483, 282, 26189, 7805, 322, 639, 18, 38006, 525, 6295, 281, 14576, 1330, 5702, 2059 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28580, 1161, 16, 722, 26434, 282, 10264, 808, 4040, 25486, 1345, 328, 884, 18, 478, 6039, 1343, 5404, 16, 753, 477, 2924, 13000, 24063, 28933, 16, 515, 678, 322, 895, 2240, 481, 3857, 16, 376, 24989, 16974, 18, 651, 1345, 328, 884, 895, 13581, 784, 282, 3507, 289, 3891, 387, 18282, 309, 20791, 18, 640, 2710, 17, 299, 6250, 394, 477, 2924, 840, 19108, 28933, 16, 309, 2710, 17, 299, 651, 1345, 328, 884, 18, 832, 3684, 16, 374, 329, 813, 3237, 1578, 2710, 17, 299, 32189, 861, 19823, 520, 16, 2091, 16, 17395, 21519, 332, 309, 4698, 8187, 454, 2422, 2776, 31536, 2785, 465, 32863, 1624, 308, 1167, 15580, 1715, 1272, 4177, 281, 2215, 932, 2785, 15441, 411, 25359, 18, 10482, 16, 322, 5009, 4318, 520, 22244, 1162, 13206, 1423, 20799, 35, 365, 12165, 13189, 7977, 6740, 16883, 309, 478, 730, 303, 363, 5409, 648, 470, 22244, 343, 22474, 18021, 322, 5992, 16, 828, 12398, 1162, 30107, 549, 22280, 18, 6733, 589, 695, 20822, 30107, 12523, 6406, 25486, 4104, 623, 928, 3340, 1624, 4774, 1231, 549, 424, 2418, 17, 277, 21908, 18, 27252, 320, 5793, 11854, 382, 906, 1281, 27, 17, 274, 8187, 343, 2422, 22715, 5002, 572, 18, 22432, 2135, 48618, 343, 1196, 2829, 282, 28747, 42808, 1248, 23258, 1066, 16, 2566, 743, 282, 23376, 32626, 2514, 14452, 6633, 1895, 297, 888, 32543, 19137, 18, 7200, 4601, 4104, 623, 928, 3340, 30346, 329, 5002, 572, 767, 809, 516, 16, 367, 567, 7422, 6054, 13521, 8093, 309, 22428, 18, 5043, 16, 2006, 6054, 35, 365, 49418, 22122, 409, 2174, 5106, 30039, 289, 2406, 18, 4104, 623, 928, 3340, 567, 2992, 4623, 14388, 816, 30, 21, 289, 18096, 9646, 11022, 2846, 14010, 429, 9410, 18, 365, 4784, 16, 1743, 19740, 519, 3298, 17, 296, 1532, 343, 16, 988, 475, 808, 7736, 906, 1169, 343, 18, 12092, 371, 20545, 1061, 30, 24, 282, 4356, 1192, 318, 11854, 343, 30346, 1421, 32657, 9410, 289, 322, 2756, 22033, 1855, 2019, 282, 5421, 3098, 309, 5421, 4601, 18, 459, 453, 1715, 11888, 4177, 13282, 309, 1040, 464, 18, 16102, 7583, 47479, 567, 12241, 2756, 14382, 8583, 466, 12046, 18, 640, 22428, 22738, 2045, 2840, 8187, 582, 14452, 29816, 263, 8426, 18532, 411, 30579, 8583, 466, 12046, 322, 9253, 289, 49266, 282, 1949, 281, 13021, 18, 478, 1358, 4369, 6915, 2410, 1269, 15406, 16, 376, 7332, 1694, 8583, 466, 2106, 323, 6080, 478, 13261, 861, 651, 1483, 3773, 7446, 4056, 17696, 685, 3511, 368, 18, 981, 289, 11187, 6281, 8426, 18532, 453, 16, 428, 678, 322, 7281, 16, 322, 3225, 18, 14586, 10390, 6074, 16, 785, 46258, 2678, 15831, 649, 1907, 4466, 18, 2681, 10261, 282, 870, 13189, 703, 475, 808, 21384, 4583, 861, 769, 6409, 40302, 6544, 294, 9155, 281, 4657, 304, 6729, 304, 24536, 3646, 355, 932, 4774, 26801, 424, 24721, 21908, 26142, 5819, 423, 269, 18, 16582, 3733, 7236, 7739, 3033, 1223, 2852, 14010, 3536, 289, 349, 1808, 289, 3436, 7130, 13721, 271, 2019, 282, 7504, 3098, 18, 11333, 7036, 942, 5298, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 43161, 680, 20902, 17774, 478, 33051, 9070, 470, 35454, 309, 1324, 4368, 25969, 16, 988, 282, 8159, 26198, 281, 14928, 1970, 1703, 478, 44897, 1683, 861, 4406, 3994, 1527, 289, 8959, 839, 18, 3557, 5547, 6347, 9480, 764, 2197, 7547, 1214, 33672, 2503, 16, 14170, 1712, 282, 9804, 309, 1335, 11056, 16, 282, 1754, 9100, 2852, 1135, 18, 31224, 30, 677, 3709, 411, 3322, 26312, 432, 334, 14576, 617, 12466, 13132, 31239, 30495, 7547, 1214, 33672, 2503, 18, 365, 16858, 2847, 1212, 3948, 31814, 282, 10882, 5413, 20554, 5554, 478, 33051, 9070, 470, 27290, 309, 1324, 4368, 25969, 4202, 16, 988, 282, 8159, 26054, 477, 12441, 536, 7932, 22859, 478, 28516, 470, 415, 7641, 682, 11552, 8231, 1175, 16, 371, 25976, 488, 13059, 282, 8657, 283, 1427, 411, 41322, 1767, 18, 1367, 803, 3110, 478, 15210, 470, 477, 7755, 309, 7897, 282, 17329, 20043, 18, 1598, 17, 431, 3084, 23846, 282, 34559, 2662, 5642, 45301, 8724, 3716, 13256, 424, 5059, 435, 424, 40011, 37606, 18, 31139, 17, 419, 13011, 17390, 478, 33051, 877, 1476, 470, 3619, 15649, 17706, 18, 1681, 7011, 23105, 42591, 7151, 414, 505, 18499, 18, 4149, 3711, 3219, 2459, 25300, 7994, 16, 753, 18794, 411, 616, 3732, 3555, 18, 2046, 334, 3427, 282, 13335, 5834, 1135, 16342, 360, 18241, 28564, 289, 10068, 4829, 18, 985, 18479, 10786, 37972, 9597, 16, 2491, 1815, 20554, 25660, 706, 282, 415, 5246, 334, 640, 671, 2818, 32379, 18, 9873, 16979, 282, 21834, 478, 33051, 877, 1476, 470, 8926, 764, 6501, 17390, 18, 1606, 1038, 5684, 15649, 17706, 16, 1314, 14265, 45376, 349, 697, 1805, 18, 415, 4349, 16979, 289, 11462, 14928, 1970, 718, 478, 1140, 11987, 470, 4760, 322, 48273, 18, 34608, 289, 9353, 742, 13631, 1055, 322, 44751, 18, 1397, 44605, 857, 505, 38267, 309, 1324, 4368, 25969, 16, 1055, 10480, 18, 3397, 28869, 1247, 290, 43279, 14132, 1101, 334, 7705, 4016, 24, 11828, 478, 16076, 1979, 44460, 16, 31758, 2284, 334, 28537, 617, 4913, 1631, 470, 473, 660, 4256, 986, 17703, 8124, 814, 14541, 432, 15841, 360, 8231, 43161, 680, 6664, 289, 11552, 8231, 334, 41322, 1767, 1055, 322, 48273, 18, 3557, 5547, 994, 3595, 9597, 6347, 5317, 7482, 764, 2059, 22128, 7547, 1214, 33672, 5619, 16, 14170, 1027, 282, 22967, 282, 9937, 5475, 18, 985, 3110, 8231, 31814, 16, 36835, 13132, 282, 2123, 18, 3324, 309, 1061, 17, 277, 5469, 298, 30877, 801, 40202, 323, 651, 45959, 22403, 16, 11181, 360, 7335, 1614, 9058, 283, 17, 684, 310, 323, 40202, 323, 718, 3700, 18, 31139, 7994, 42910, 17, 22, 2479, 10257, 322, 28291, 281, 18459, 289, 27290, 309, 25969, 1324, 2514, 4202, 18, 3026, 492, 32096, 282, 5993, 451, 9325, 378, 10589, 17, 23, 7181, 11629, 6695, 18, 1268, 10687, 1493, 6589, 5554, 699, 6833, 282, 10165, 3724, 651, 25300, 478, 1098, 15189, 470, 18236, 282, 1758, 554, 15051, 18, 1268, 18241, 3968, 891, 9100, 475, 48877, 282, 21834, 478, 5486, 12948, 462, 15268, 323, 470, 510, 10383, 289, 2846, 38276, 18, 1303, 3994, 1527, 651, 6052, 16, 360, 2555, 519, 4317, 986, 18, 2949, 924, 16, 17706, 289, 17336, 26711, 4996, 20249, 3619, 10383, 24325, 18, 45344, 483, 282, 26189, 7805, 322, 639, 18, 38006, 525, 6295, 281, 14576, 1330, 5702, 2059 ]
[ 411, 3322, 19872, 1791, 5791, 18, 9668, 31814, 13408, 18301, 39324, 935, 13962, 937, 6723, 1643, 44460, 281, 46608, 18, 2681, 349, 1533, 4776, 4440, 779, 282, 22967, 4243, 816, 9247, 8334, 7547, 1214, 33672, 399, 16, 282, 1639, 8710, 1135, 9100, 289, 15882, 27, 5684, 17706, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 16640, 20356, 281, 1461, 2435, 5942, 7771, 411, 40286, 680, 1767, 18, 6630, 530, 382, 6043, 4151, 16, 23131, 6171, 7898, 4170, 16, 11440, 477, 1963, 20122, 7321, 510, 475, 481, 15056, 19339, 16, 24256, 887, 1907, 7447, 18, 459, 4770, 4263, 773, 15703, 289, 33812, 18, 1735, 687, 3988, 10478, 309, 10438, 505, 26612, 3601, 30, 697, 5009, 6178, 16, 367, 697, 475, 1143, 510, 478, 22251, 12472, 298, 12252, 3412, 6295, 861, 31224, 30, 471, 3693, 13591, 16, 349, 1205, 289, 935, 349, 1293, 986, 4385, 49191, 25360, 17704, 2127, 9937, 16, 6843, 294, 36527, 282, 4008, 282, 5329, 16, 1548, 374, 329, 813, 2246, 2844, 37391, 282, 803, 9347, 18, 740, 282, 502, 575, 808, 9763, 16, 374, 10711, 3433, 4765, 2879, 8105, 1954, 322, 687, 35634, 353, 16, 515, 289, 3147, 4815, 758, 15356, 18, 15517, 16, 334, 867, 7546, 16, 988, 417, 1314, 2447, 6730, 25360, 910, 510, 46167, 4770, 6370, 16640, 14314, 20216, 8743, 411, 2001, 999, 298, 2234, 282, 40286, 680, 1767, 18, 8281, 24977, 541, 5790, 282, 32094, 2438, 5771, 16, 2486, 4770, 3619, 360, 20171, 3232, 346, 5467, 16, 282, 2114, 745, 13737, 290, 18979, 6125, 329, 965, 4564, 1318, 34109, 8043, 8743, 18, 365, 3198, 16640, 16833, 294, 1190, 1912, 42877, 16, 515, 27152, 28009, 322, 381, 11846, 4678, 18, 478, 8572, 612, 5812, 4170, 322, 7696, 16, 6370, 49978, 18, 832, 419, 552, 1499, 16, 1218, 6741, 3205, 953, 25483, 16, 367, 687, 10902, 620, 16, 8527, 2922, 16, 15375, 5411, 289, 45908, 49781, 910, 510, 4255, 1475, 4137, 33565, 3899, 1624, 2076, 35544, 10185, 478, 5673, 266, 910, 1611, 6090, 41153, 294, 3995, 2078, 18, 3647, 282, 9776, 12536, 19211, 20254, 510, 2988, 478, 3663, 762, 11328, 19589, 1711, 16, 4509, 464, 265, 281, 697, 23072, 1068, 1082, 910, 2988, 478, 4743, 323, 17, 299, 8185, 451, 738, 10812, 910, 515, 322, 1135, 5197, 16, 428, 481, 639, 282, 12110, 28489, 510, 478, 5786, 3008, 354, 910, 478, 16226, 2280, 6845, 322, 19127, 470, 670, 478, 563, 420, 10474, 343, 289, 18330, 809, 910, 7107, 10042, 33565, 3899, 18, 478, 44087, 12631, 374, 17, 299, 12631, 282, 4008, 16, 20166, 13963, 16, 374, 912, 2393, 3427, 541, 48217, 10414, 289, 1500, 575, 15029, 895, 9422, 20458, 282, 9981, 910, 510, 9299, 33565, 3899, 16, 4864, 6954, 16, 374, 785, 42123, 25360, 10579, 17291, 11962, 1352, 16, 502, 289, 9200, 6180, 13185, 36841, 16, 289, 16365, 16, 289, 935, 7893, 24036, 478, 20659, 3629, 470, 16590, 18, 1787, 11897, 16445, 14271, 7898, 41304, 2003, 43830, 19304, 16, 22080, 17635, 395, 4770, 30, 478, 6161, 15029, 840, 9038, 1061, 2634, 2791, 282, 5004, 16, 656, 2567, 7898, 322, 29089, 18, 4429, 400, 15808, 15757, 17291, 1494, 840, 4959, 506, 4217, 761, 978, 5197, 16, 282, 970, 2875, 35089, 4217, 761, 861, 5043, 16, 29418, 18145, 322, 475, 16, 13749, 5037, 4000, 18, 1303, 1143, 8182, 1512, 478, 560, 2040, 467, 3971, 1087, 10614, 1352, 16, 439, 4743, 746, 439, 21761, 7876, 910, 4725, 492, 30, 478, 4441, 16445, 11601, 37632, 35, 832, 939, 18, 3026, 1904, 24259, 35, 46235, 530, 4702, 861, 478, 37579, 16, 1177, 3971, 28908, 1548, 16, 374, 481, 1480, 21791, 21597, 2005, 16, 22005, 910, 510, 3404, 5042, 4770, 289, 935, 28681, 1177, 3971, 30, 5834, 1135, 29569, 10529, 309, 3511, 7576, 8892, 16, 4693, 445, 2852, 4447, 45625, 8895, 289, 29900, 16, 30595, 2159, 1743, 18, 478, 25413, 16, 428, 5429, 16, 481, 2002, 453, 322, 20366, 16, 367, 4362, 9945, 10785, 309, 2651, 1805, 910, 510, 733, 29727, 285, 905, 4770, 18, 11659, 826, 275, 290, 3315, 2794, 1436, 1751, 16, 7725, 1157, 334, 49924, 31980, 19679, 294, 1033, 14721, 8085, 867, 395, 18, 478, 21393, 329, 813, 16141, 16, 281, 6133, 749, 5984, 8465, 322, 497, 39150, 18, 5161, 16, 9518, 539, 2513, 2722, 3512, 309, 5004, 18, 999, 6282, 1048, 309, 15122, 16, 46714, 4010, 17, 299, 808, 16, 367, 785, 1381, 387, 18282, 16, 694, 2471, 11787, 8408, 13756, 478, 3114, 7833, 910, 515, 29811, 2205, 341, 2261, 7833, 18, 24106, 16, 374, 38267, 281, 10528, 2955, 910, 510, 49756, 18159, 14936, 291, 1051, 16, 2412, 7216, 7462, 1082, 18, 478, 732, 374, 387, 20884, 42630, 510, 38949, 4770, 18, 478, 25240, 607, 581, 339, 44701, 1624, 510, 14403, 14936, 291, 1051, 18, 510, 740, 745, 1314, 282, 28182, 322, 18189, 16, 4266, 282, 17433, 392, 387, 5716, 1855, 861, 31336, 724, 572, 6455, 15369, 2795, 20900, 1825, 1051, 16, 289, 16640, 7214, 18, 740, 481, 322, 8970, 1480, 16, 4725, 492, 30, 478, 6161, 37872, 874, 697, 21941, 519, 2702, 10427, 16, 515, 5638, 434, 4999, 16, 502, 25530, 16, 453, 575, 428, 289, 39244, 451, 20554, 16, 840, 5370, 16, 23301, 289, 4823, 8170, 454, 670, 1003, 861, 14936, 291, 1051, 1038, 6455, 26581, 5616, 451, 5337, 16, 2382, 6954, 16, 374, 289, 5616, 451, 5337, 13981, 16, 289, 5995, 309, 1679, 6252, 454, 20322, 16, 289, 15605, 5998, 7462, 4173, 4362, 475, 1033, 13155, 20002, 18, 478, 14102, 16467, 290, 5616, 547, 2866, 2517, 7915, 910, 510, 1109, 16640, 18, 6754, 2516, 887, 4211, 6328, 289, 309, 16987, 4211, 16, 281, 39067, 2024, 282, 28308, 3358, 3787, 6110, 2513, 1954, 18, 478, 4348, 19679, 41072, 11726, 617, 16, 13591, 334, 35385, 289, 1595, 4211, 45076, 910, 510, 4848, 9501, 320, 18159, 1483, 14940, 16, 1029, 281, 10798, 17, 361, 334, 5021, 1205, 25512, 4704, 478, 21664, 8016, 276, 12810, 861, 16640, 13749, 16, 374, 481, 14763, 3412, 5517, 16, 2805, 282, 26341, 16, 515, 289, 1336, 6089, 23164, 30, 1461, 825, 36527, 1381, 11670, 2291, 12956, 344, 5800, 3320, 473, 563, 5125, 13, 510, 478, 267, 5219, 5056, 22909, 28965, 289, 2891, 16, 289, 935, 11583, 9835, 2125, 23503, 11593, 478, 672, 5735, 36267, 39110, 1830, 373, 3441, 411, 16237, 22909, 16, 32862, 282, 481, 24081, 18, 1681, 966, 484, 1574, 1233, 16, 374, 289, 5494, 16, 289, 9835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 411, 3322, 19872, 1791, 5791, 18, 9668, 31814, 13408, 18301, 39324, 935, 13962, 937, 6723, 1643, 44460, 281, 46608, 18, 2681, 349, 1533, 4776, 4440, 779, 282, 22967, 4243, 816, 9247, 8334, 7547, 1214, 33672, 399, 16, 282, 1639, 8710, 1135, 9100, 289, 15882, 27, 5684, 17706, 18, 2, 1, 87, 1456, 81, 2448, 30, 44499, 1502, 16640, 20356, 281, 1461, 2435, 5942, 7771, 411, 40286, 680, 1767, 18, 6630, 530, 382, 6043, 4151, 16, 23131, 6171, 7898, 4170, 16, 11440, 477, 1963, 20122, 7321, 510, 475, 481, 15056, 19339, 16, 24256, 887, 1907, 7447, 18, 459, 4770, 4263, 773, 15703, 289, 33812, 18, 1735, 687, 3988, 10478, 309, 10438, 505, 26612, 3601, 30, 697, 5009, 6178, 16, 367, 697, 475, 1143, 510, 478, 22251, 12472, 298, 12252, 3412, 6295, 861, 31224, 30, 471, 3693, 13591, 16, 349, 1205, 289, 935, 349, 1293, 986, 4385, 49191, 25360, 17704, 2127, 9937, 16, 6843, 294, 36527, 282, 4008, 282, 5329, 16, 1548, 374, 329, 813, 2246, 2844, 37391, 282, 803, 9347, 18, 740, 282, 502, 575, 808, 9763, 16, 374, 10711, 3433, 4765, 2879, 8105, 1954, 322, 687, 35634, 353, 16, 515, 289, 3147, 4815, 758, 15356, 18, 15517, 16, 334, 867, 7546, 16, 988, 417, 1314, 2447, 6730, 25360, 910, 510, 46167, 4770, 6370, 16640, 14314, 20216, 8743, 411, 2001, 999, 298, 2234, 282, 40286, 680, 1767, 18, 8281, 24977, 541, 5790, 282, 32094, 2438, 5771, 16, 2486, 4770, 3619, 360, 20171, 3232, 346, 5467, 16, 282, 2114, 745, 13737, 290, 18979, 6125, 329, 965, 4564, 1318, 34109, 8043, 8743, 18, 365, 3198, 16640, 16833, 294, 1190, 1912, 42877, 16, 515, 27152, 28009, 322, 381, 11846, 4678, 18, 478, 8572, 612, 5812, 4170, 322, 7696, 16, 6370, 49978, 18, 832, 419, 552, 1499, 16, 1218, 6741, 3205, 953, 25483, 16, 367, 687, 10902, 620, 16, 8527, 2922, 16, 15375, 5411, 289, 45908, 49781, 910, 510, 4255, 1475, 4137, 33565, 3899, 1624, 2076, 35544, 10185, 478, 5673, 266, 910, 1611, 6090, 41153, 294, 3995, 2078, 18, 3647, 282, 9776, 12536, 19211, 20254, 510, 2988, 478, 3663, 762, 11328, 19589, 1711, 16, 4509, 464, 265, 281, 697, 23072, 1068, 1082, 910, 2988, 478, 4743, 323, 17, 299, 8185, 451, 738, 10812, 910, 515, 322, 1135, 5197, 16, 428, 481, 639, 282, 12110, 28489, 510, 478, 5786, 3008, 354, 910, 478, 16226, 2280, 6845, 322, 19127, 470, 670, 478, 563, 420, 10474, 343, 289, 18330, 809, 910, 7107, 10042, 33565, 3899, 18, 478, 44087, 12631, 374, 17, 299, 12631, 282, 4008, 16, 20166, 13963, 16, 374, 912, 2393, 3427, 541, 48217, 10414, 289, 1500, 575, 15029, 895, 9422, 20458, 282, 9981, 910, 510, 9299, 33565, 3899, 16, 4864, 6954, 16, 374, 785, 42123, 25360, 10579, 17291, 11962, 1352, 16, 502, 289, 9200, 6180, 13185, 36841, 16, 289, 16365, 16, 289, 935, 7893, 24036, 478, 20659, 3629, 470, 16590, 18, 1787, 11897, 16445, 14271, 7898, 41304, 2003, 43830, 19304, 16, 22080, 17635, 395, 4770, 30, 478, 6161, 15029, 840, 9038, 1061, 2634, 2791, 282, 5004, 16, 656, 2567, 7898, 322, 29089, 18, 4429, 400, 15808, 15757, 17291, 1494, 840, 4959, 506, 4217, 761, 978, 5197, 16, 282, 970, 2875, 35089, 4217, 761, 861, 5043, 16, 29418, 18145, 322, 475, 16, 13749, 5037, 4000, 18, 1303, 1143, 8182, 1512, 478, 560, 2040, 467, 3971, 1087, 10614, 1352, 16, 439, 4743, 746, 439, 21761, 7876, 910, 4725, 492, 30, 478, 4441, 16445, 11601, 37632, 35, 832, 939, 18, 3026, 1904, 24259, 35, 46235, 530, 4702, 861, 478, 37579, 16, 1177, 3971, 28908, 1548, 16, 374, 481, 1480, 21791, 21597, 2005, 16, 22005, 910, 510, 3404, 5042, 4770, 289, 935, 28681, 1177, 3971, 30, 5834, 1135, 29569, 10529, 309, 3511, 7576, 8892, 16, 4693, 445, 2852, 4447, 45625, 8895, 289, 29900, 16, 30595, 2159, 1743, 18, 478, 25413, 16, 428, 5429, 16, 481, 2002, 453, 322, 20366, 16, 367, 4362, 9945, 10785, 309, 2651, 1805, 910, 510, 733, 29727, 285, 905, 4770, 18, 11659, 826, 275, 290, 3315, 2794, 1436, 1751, 16, 7725, 1157, 334, 49924, 31980, 19679, 294, 1033, 14721, 8085, 867, 395, 18, 478, 21393, 329, 813, 16141, 16, 281, 6133, 749, 5984, 8465, 322, 497, 39150, 18, 5161, 16, 9518, 539, 2513, 2722, 3512, 309, 5004, 18, 999, 6282, 1048, 309, 15122, 16, 46714, 4010, 17, 299, 808, 16, 367, 785, 1381, 387, 18282, 16, 694, 2471, 11787, 8408, 13756, 478, 3114, 7833, 910, 515, 29811, 2205, 341, 2261, 7833, 18, 24106, 16, 374, 38267, 281, 10528, 2955, 910, 510, 49756, 18159, 14936, 291, 1051, 16, 2412, 7216, 7462, 1082, 18, 478, 732, 374, 387, 20884, 42630, 510, 38949, 4770, 18, 478, 25240, 607, 581, 339, 44701, 1624, 510, 14403, 14936, 291, 1051, 18, 510, 740, 745, 1314, 282, 28182, 322, 18189, 16, 4266, 282, 17433, 392, 387, 5716, 1855, 861, 31336, 724, 572, 6455, 15369, 2795, 20900, 1825, 1051, 16, 289, 16640, 7214, 18, 740, 481, 322, 8970, 1480, 16, 4725, 492, 30, 478, 6161, 37872, 874, 697, 21941, 519, 2702, 10427, 16, 515, 5638, 434, 4999, 16, 502, 25530, 16, 453, 575, 428, 289, 39244, 451, 20554, 16, 840, 5370, 16, 23301, 289, 4823, 8170, 454, 670, 1003, 861, 14936, 291, 1051, 1038, 6455, 26581, 5616, 451, 5337, 16, 2382, 6954, 16, 374, 289, 5616, 451, 5337, 13981, 16, 289, 5995, 309, 1679, 6252, 454, 20322, 16, 289, 15605, 5998, 7462, 4173, 4362, 475, 1033, 13155, 20002, 18, 478, 14102, 16467, 290, 5616, 547, 2866, 2517, 7915, 910, 510, 1109, 16640, 18, 6754, 2516, 887, 4211, 6328, 289, 309, 16987, 4211, 16, 281, 39067, 2024, 282, 28308, 3358, 3787, 6110, 2513, 1954, 18, 478, 4348, 19679, 41072, 11726, 617, 16, 13591, 334, 35385, 289, 1595, 4211, 45076, 910, 510, 4848, 9501, 320, 18159, 1483, 14940, 16, 1029, 281, 10798, 17, 361, 334, 5021, 1205, 25512, 4704, 478, 21664, 8016, 276, 12810, 861, 16640, 13749, 16, 374, 481, 14763, 3412, 5517, 16, 2805, 282, 26341, 16, 515, 289, 1336, 6089, 23164, 30, 1461, 825, 36527, 1381, 11670, 2291, 12956, 344, 5800, 3320, 473, 563, 5125, 13, 510, 478, 267, 5219, 5056, 22909, 28965, 289, 2891, 16, 289, 935, 11583, 9835, 2125, 23503, 11593, 478, 672, 5735, 36267, 39110, 1830, 373, 3441, 411, 16237, 22909, 16, 32862, 282, 481, 24081, 18, 1681, 966, 484, 1574, 1233, 16, 374, 289, 5494, 16, 289, 9835 ]
[ 322, 38021, 697, 349, 345, 4706, 861, 1860, 1360, 1963, 4770, 15488, 541, 21002, 4096, 281, 8972, 2206, 15333, 9608, 3244, 541, 16002, 289, 11141, 7321, 282, 4301, 21486, 34273, 25215, 1906, 10561, 6272, 30, 1533, 9, 25241, 16, 35269, 727, 3127, 672, 16, 3005, 373, 953, 42597, 320, 420, 6025, 349, 1461, 2435, 289, 1028, 5681, 44817, 18, 478, 24686, 1143, 13064, 16, 867, 1882, 16, 510, 1109, 6070, 378, 414, 5881, 16, 6187, 371, 15873, 938, 4699, 9835, 16, 1650, 2545, 23898, 541, 35440, 10547, 18, 510, 740, 1336, 373, 18958, 322, 309, 10649, 37946, 6340, 16, 367, 309, 10649, 31882, 8266, 16, 1655, 8030, 861, 27370, 503, 6096, 46279, 291, 1624, 12352, 1815, 39039, 31697, 34107, 16, 49756, 309, 3860, 281, 34670, 3862, 262, 34867, 434, 12670, 18, 478, 983, 326, 3423, 1712, 16390, 16, 2319, 942, 21903, 44085, 539, 5642, 539, 11943, 16, 3164, 282, 472, 2061, 307, 16, 282, 13671, 4017, 31455, 910, 510, 4848, 17704, 18, 2681, 282, 505, 5324, 2197, 2754, 324, 44085, 434, 12166, 349, 5004, 29215, 1812, 30, 478, 44101, 3661, 16, 3176, 481, 282, 32100, 16, 43771, 16, 47158, 40537, 18, 889, 5217, 44085, 434, 12166, 4271, 478, 732, 374, 387, 281, 2184, 19247, 20884, 5433, 510, 2363, 4770, 18, 46279, 291, 2715, 16, 374, 360, 31822, 23545, 9961, 16, 13025, 282, 3106, 23628, 282, 34426, 9518, 16, 515, 9595, 10392, 3384, 16477, 289, 10556, 1788, 349, 15634, 4733, 8783, 282, 18081, 18, 16640, 15488, 5012, 2153, 23318, 2173, 11627, 1247, 290, 11184, 2926, 18293, 44085, 434, 12166, 16, 6177, 22646, 743, 481, 309, 11583, 2241, 510, 2921, 6951, 13429, 30, 478, 32897, 745, 9513, 766, 282, 5135, 17, 299, 42999, 454, 4135, 16, 289, 481, 840, 697, 8219, 282, 6633, 10392, 4846, 13290, 861, 6754, 2516, 887, 38020, 289, 309, 11198, 1427, 18, 478, 8706, 16346, 18988, 48297, 5891, 3673, 16, 30413, 282, 7670, 17990, 9835, 16, 753, 9771, 322, 2914, 395, 1596, 874, 18, 5093, 43046, 14886, 16, 753, 36137, 35144, 39994, 910, 510, 17635, 4944, 25100, 12017, 1624, 2412, 7216, 33042, 35332, 40616, 14223, 16, 334, 17, 44029, 307, 16306, 20658, 300, 43819, 334, 12158, 18, 1895, 3490, 10784, 6721, 4193, 309, 36563, 4769, 13286, 16, 15488, 289, 1336, 16640, 30, 478, 3096, 10796, 878, 37566, 12703, 13228, 16, 785, 7190, 16002, 7321, 30413, 281, 11198, 5056, 1732, 11569, 861, 439, 17635, 10563, 330, 4015, 286, 3340, 4255, 5656, 16, 374, 6843, 294, 1420, 17767, 15050, 1011, 924, 16, 428, 678, 411, 15499, 434, 24758, 2756, 19389, 18, 478, 47033, 38108, 1954, 2458, 16, 1548, 374, 39108, 329, 37697, 510, 7087, 16, 2012, 864, 486, 910, 510, 25341, 4015, 286, 3340, 18, 10110, 7214, 281, 2184, 30, 478, 6161, 656, 11843, 16, 753, 282, 2759, 4008, 639, 2555, 16, 4317, 16, 367, 502, 289, 3610, 7540, 2954, 16, 594, 2339, 5942, 7771, 16, 656, 2125, 16, 7260, 16, 6125, 9318, 16, 21976, 42044, 17704, 1880, 1743, 18, 1345, 2125, 8051, 289, 7859, 16, 374, 481, 9667, 289, 17442, 1854, 861, 4798, 3281, 478, 8844, 960, 724, 4062, 329, 2759, 2553, 1003, 9190, 910, 39300, 16640, 18, 12092, 2197, 3988, 10478, 42877, 26612, 3601, 289, 14370, 1154, 4830, 510, 309, 13607, 10438, 289, 14685, 44062, 6236, 622, 18, 478, 8706, 1398, 35439, 1143, 9595, 16, 1548, 374, 12588, 3337, 42425, 1143, 2438, 910, 510, 2734, 520, 322, 30981, 7299, 4211, 6328, 18, 478, 14180, 5433, 510, 322, 19227, 4770, 18, 478, 789, 945, 2232, 16, 5337, 2232, 16, 10392, 18, 27507, 697, 8010, 510, 322, 4366, 16, 367, 49265, 1086, 910, 510, 3424, 282, 1176, 1609, 20137, 4211, 6328, 18, 478, 3743, 3400, 1844, 2592, 20968, 35439, 16, 40279, 291, 309, 1304, 3440, 5433, 510, 475, 322, 16398, 5037, 4000, 18, 478, 2176, 2064, 291, 2438, 3440, 16, 1844, 2592, 20968, 35439, 510, 3440, 16, 515, 537, 1176, 411, 3337, 42425, 749, 10445, 2002, 322, 12144, 910, 510, 322, 5892, 538, 4830, 4211, 6328, 18, 459, 3477, 4422, 1810, 6110, 1269, 2240, 16, 289, 282, 5344, 11893, 416, 16, 4601, 3637, 38020, 18, 478, 1140, 703, 1223, 2846, 1631, 7393, 30, 827, 3255, 309, 2236, 13611, 2364, 4256, 12094, 770, 6702, 639, 16, 367, 1441, 1143, 2555, 16, 502, 912, 1441, 417, 2879, 45849, 12094, 3245, 289, 5052, 541, 3025, 1335, 8379, 910, 510, 2382, 10501, 21935, 45940, 478, 13762, 331, 292, 406, 17, 672, 286, 431, 470, 12510, 2333, 46404, 18, 10110, 15488, 4751, 34550, 396, 8807, 1247, 14217, 2005, 2926, 12094, 346, 14167, 541, 478, 277, 2664, 1027, 910, 3387, 3775, 7426, 334, 7413, 281, 22304, 31179, 1721, 17730, 15298, 18, 478, 3743, 16, 38242, 3702, 16, 417, 519, 4319, 1326, 322, 2447, 3670, 16, 2006, 656, 49280, 9405, 3400, 10120, 16, 18127, 9991, 6646, 448, 6549, 16, 10438, 16, 367, 697, 3400, 4362, 475, 1143, 16, 510, 9877, 16640, 18, 510, 5005, 4136, 17, 299, 12472, 298, 12252, 3412, 6295, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 31023, 281, 29709, 411, 46405, 16, 1029, 3164, 424, 653, 508, 323, 12797, 1347, 360, 45183, 6456, 49181, 43549, 711, 401, 16, 282, 28604, 18566, 2530, 1604, 778, 478, 28594, 546, 301, 19751, 861, 889, 3003, 3118, 24554, 2444, 282, 34513, 12457, 2124, 31940, 1809, 35297, 18389, 18, 385, 6175, 6143, 678, 1103, 49512, 312, 6406, 5977, 1852, 6250, 620, 16, 1029, 30552, 6911, 2553, 18, 31224, 30, 1916, 350, 342, 6298, 35297, 4985, 1406, 1745, 322, 25845, 1048, 18, 1787, 7342, 1335, 2553, 23587, 13557, 6097, 15174, 1559, 2019, 411, 26123, 334, 16143, 40657, 7561, 2422, 282, 7504, 18, 3557, 322, 2619, 16, 541, 21999, 282, 28604, 329, 35065, 18308, 10347, 718, 7586, 47616, 15413, 839, 33975, 18, 19726, 520, 322, 7265, 411, 1129, 1559, 655, 13417, 7928, 18, 2320, 27158, 309, 26436, 999, 13966, 807, 473, 275, 5214, 16, 428, 289, 17166, 282, 7044, 16, 6020, 28663, 14657, 13, 1223, 349, 1176, 1205, 289, 1223, 349, 25817, 14550, 3763, 18, 6068, 38138, 5778, 276, 282, 19329, 547, 22515, 2364, 1760, 2634, 15364, 18, 996, 982, 6269, 4697, 33896, 322, 895, 37426, 537, 1176, 19329, 451, 3216, 282, 1175, 16, 19030, 670, 19992, 18, 981, 289, 567, 3025, 7044, 697, 1223, 2852, 18, 27727, 1391, 285, 4699, 29510, 5778, 276, 20147, 478, 28594, 546, 301, 283, 4548, 470, 11246, 282, 5630, 3322, 46265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 322, 38021, 697, 349, 345, 4706, 861, 1860, 1360, 1963, 4770, 15488, 541, 21002, 4096, 281, 8972, 2206, 15333, 9608, 3244, 541, 16002, 289, 11141, 7321, 282, 4301, 21486, 34273, 25215, 1906, 10561, 6272, 30, 1533, 9, 25241, 16, 35269, 727, 3127, 672, 16, 3005, 373, 953, 42597, 320, 420, 6025, 349, 1461, 2435, 289, 1028, 5681, 44817, 18, 478, 24686, 1143, 13064, 16, 867, 1882, 16, 510, 1109, 6070, 378, 414, 5881, 16, 6187, 371, 15873, 938, 4699, 9835, 16, 1650, 2545, 23898, 541, 35440, 10547, 18, 510, 740, 1336, 373, 18958, 322, 309, 10649, 37946, 6340, 16, 367, 309, 10649, 31882, 8266, 16, 1655, 8030, 861, 27370, 503, 6096, 46279, 291, 1624, 12352, 1815, 39039, 31697, 34107, 16, 49756, 309, 3860, 281, 34670, 3862, 262, 34867, 434, 12670, 18, 478, 983, 326, 3423, 1712, 16390, 16, 2319, 942, 21903, 44085, 539, 5642, 539, 11943, 16, 3164, 282, 472, 2061, 307, 16, 282, 13671, 4017, 31455, 910, 510, 4848, 17704, 18, 2681, 282, 505, 5324, 2197, 2754, 324, 44085, 434, 12166, 349, 5004, 29215, 1812, 30, 478, 44101, 3661, 16, 3176, 481, 282, 32100, 16, 43771, 16, 47158, 40537, 18, 889, 5217, 44085, 434, 12166, 4271, 478, 732, 374, 387, 281, 2184, 19247, 20884, 5433, 510, 2363, 4770, 18, 46279, 291, 2715, 16, 374, 360, 31822, 23545, 9961, 16, 13025, 282, 3106, 23628, 282, 34426, 9518, 16, 515, 9595, 10392, 3384, 16477, 289, 10556, 1788, 349, 15634, 4733, 8783, 282, 18081, 18, 16640, 15488, 5012, 2153, 23318, 2173, 11627, 1247, 290, 11184, 2926, 18293, 44085, 434, 12166, 16, 6177, 22646, 743, 481, 309, 11583, 2241, 510, 2921, 6951, 13429, 30, 478, 32897, 745, 9513, 766, 282, 5135, 17, 299, 42999, 454, 4135, 16, 289, 481, 840, 697, 8219, 282, 6633, 10392, 4846, 13290, 861, 6754, 2516, 887, 38020, 289, 309, 11198, 1427, 18, 478, 8706, 16346, 18988, 48297, 5891, 3673, 16, 30413, 282, 7670, 17990, 9835, 16, 753, 9771, 322, 2914, 395, 1596, 874, 18, 5093, 43046, 14886, 16, 753, 36137, 35144, 39994, 910, 510, 17635, 4944, 25100, 12017, 1624, 2412, 7216, 33042, 35332, 40616, 14223, 16, 334, 17, 44029, 307, 16306, 20658, 300, 43819, 334, 12158, 18, 1895, 3490, 10784, 6721, 4193, 309, 36563, 4769, 13286, 16, 15488, 289, 1336, 16640, 30, 478, 3096, 10796, 878, 37566, 12703, 13228, 16, 785, 7190, 16002, 7321, 30413, 281, 11198, 5056, 1732, 11569, 861, 439, 17635, 10563, 330, 4015, 286, 3340, 4255, 5656, 16, 374, 6843, 294, 1420, 17767, 15050, 1011, 924, 16, 428, 678, 411, 15499, 434, 24758, 2756, 19389, 18, 478, 47033, 38108, 1954, 2458, 16, 1548, 374, 39108, 329, 37697, 510, 7087, 16, 2012, 864, 486, 910, 510, 25341, 4015, 286, 3340, 18, 10110, 7214, 281, 2184, 30, 478, 6161, 656, 11843, 16, 753, 282, 2759, 4008, 639, 2555, 16, 4317, 16, 367, 502, 289, 3610, 7540, 2954, 16, 594, 2339, 5942, 7771, 16, 656, 2125, 16, 7260, 16, 6125, 9318, 16, 21976, 42044, 17704, 1880, 1743, 18, 1345, 2125, 8051, 289, 7859, 16, 374, 481, 9667, 289, 17442, 1854, 861, 4798, 3281, 478, 8844, 960, 724, 4062, 329, 2759, 2553, 1003, 9190, 910, 39300, 16640, 18, 12092, 2197, 3988, 10478, 42877, 26612, 3601, 289, 14370, 1154, 4830, 510, 309, 13607, 10438, 289, 14685, 44062, 6236, 622, 18, 478, 8706, 1398, 35439, 1143, 9595, 16, 1548, 374, 12588, 3337, 42425, 1143, 2438, 910, 510, 2734, 520, 322, 30981, 7299, 4211, 6328, 18, 478, 14180, 5433, 510, 322, 19227, 4770, 18, 478, 789, 945, 2232, 16, 5337, 2232, 16, 10392, 18, 27507, 697, 8010, 510, 322, 4366, 16, 367, 49265, 1086, 910, 510, 3424, 282, 1176, 1609, 20137, 4211, 6328, 18, 478, 3743, 3400, 1844, 2592, 20968, 35439, 16, 40279, 291, 309, 1304, 3440, 5433, 510, 475, 322, 16398, 5037, 4000, 18, 478, 2176, 2064, 291, 2438, 3440, 16, 1844, 2592, 20968, 35439, 510, 3440, 16, 515, 537, 1176, 411, 3337, 42425, 749, 10445, 2002, 322, 12144, 910, 510, 322, 5892, 538, 4830, 4211, 6328, 18, 459, 3477, 4422, 1810, 6110, 1269, 2240, 16, 289, 282, 5344, 11893, 416, 16, 4601, 3637, 38020, 18, 478, 1140, 703, 1223, 2846, 1631, 7393, 30, 827, 3255, 309, 2236, 13611, 2364, 4256, 12094, 770, 6702, 639, 16, 367, 1441, 1143, 2555, 16, 502, 912, 1441, 417, 2879, 45849, 12094, 3245, 289, 5052, 541, 3025, 1335, 8379, 910, 510, 2382, 10501, 21935, 45940, 478, 13762, 331, 292, 406, 17, 672, 286, 431, 470, 12510, 2333, 46404, 18, 10110, 15488, 4751, 34550, 396, 8807, 1247, 14217, 2005, 2926, 12094, 346, 14167, 541, 478, 277, 2664, 1027, 910, 3387, 3775, 7426, 334, 7413, 281, 22304, 31179, 1721, 17730, 15298, 18, 478, 3743, 16, 38242, 3702, 16, 417, 519, 4319, 1326, 322, 2447, 3670, 16, 2006, 656, 49280, 9405, 3400, 10120, 16, 18127, 9991, 6646, 448, 6549, 16, 10438, 16, 367, 697, 3400, 4362, 475, 1143, 16, 510, 9877, 16640, 18, 510, 5005, 4136, 17, 299, 12472, 298, 12252, 3412, 6295, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 31023, 281, 29709, 411, 46405, 16, 1029, 3164, 424, 653, 508, 323, 12797, 1347, 360, 45183, 6456, 49181, 43549, 711, 401, 16, 282, 28604, 18566, 2530, 1604, 778, 478, 28594, 546, 301, 19751, 861, 889, 3003, 3118, 24554, 2444, 282, 34513, 12457, 2124, 31940, 1809, 35297, 18389, 18, 385, 6175, 6143, 678, 1103, 49512, 312, 6406, 5977, 1852, 6250, 620, 16, 1029, 30552, 6911, 2553, 18, 31224, 30, 1916, 350, 342, 6298, 35297, 4985, 1406, 1745, 322, 25845, 1048, 18, 1787, 7342, 1335, 2553, 23587, 13557, 6097, 15174, 1559, 2019, 411, 26123, 334, 16143, 40657, 7561, 2422, 282, 7504, 18, 3557, 322, 2619, 16, 541, 21999, 282, 28604, 329, 35065, 18308, 10347, 718, 7586, 47616, 15413, 839, 33975, 18, 19726, 520, 322, 7265, 411, 1129, 1559, 655, 13417, 7928, 18, 2320, 27158, 309, 26436, 999, 13966, 807, 473, 275, 5214, 16, 428, 289, 17166, 282, 7044, 16, 6020, 28663, 14657, 13, 1223, 349, 1176, 1205, 289, 1223, 349, 25817, 14550, 3763, 18, 6068, 38138, 5778, 276, 282, 19329, 547, 22515, 2364, 1760, 2634, 15364, 18, 996, 982, 6269, 4697, 33896, 322, 895, 37426, 537, 1176, 19329, 451, 3216, 282, 1175, 16, 19030, 670, 19992, 18, 981, 289, 567, 3025, 7044, 697, 1223, 2852, 18, 27727, 1391, 285, 4699, 29510, 5778, 276, 20147, 478, 28594, 546, 301, 283, 4548, 470, 11246, 282, 5630, 3322, 46265 ]
[ 4486, 23904, 5538, 18, 14097, 3308, 282, 10429, 496, 12013, 22256, 18308, 10347, 1162, 7193, 334, 2856, 3286, 10091, 9225, 2418, 17, 263, 1756, 282, 2326, 620, 5151, 263, 18, 1598, 23904, 28604, 3230, 36275, 687, 1524, 1880, 478, 13781, 910, 33803, 778, 29565, 16, 417, 10123, 778, 478, 29428, 470, 289, 14928, 778, 478, 618, 1736, 23866, 861, 3138, 36882, 478, 32485, 18, 8381, 470, 10490, 19388, 282, 11147, 47694, 309, 4027, 2662, 5538, 334, 10279, 1147, 5594, 1433, 16, 282, 5049, 17, 277, 289, 3734, 6206, 18, 21561, 986, 2158, 478, 1295, 1225, 1604, 1870, 798, 470, 906, 687, 282, 17229, 16, 289, 5120, 12539, 281, 16452, 265, 5364, 302, 12784, 2411, 9852, 16, 43088, 764, 567, 6477, 16866, 10600, 20141, 40673, 16, 6437, 4246, 4121, 18, 365, 1169, 14366, 289, 34472, 17, 11276, 334, 10279, 1147, 5594, 1433, 18, 32418, 582, 32908, 575, 726, 10835, 925, 478, 1295, 1225, 1604, 34367, 272, 861, 4988, 18752, 35844, 406, 2175, 322, 35403, 309, 14497, 731, 1165, 18, 42775, 613, 47694, 651, 1332, 6152, 6197, 16, 367, 281, 2733, 38763, 16, 428, 46565, 16, 1122, 7369, 276, 18, 981, 289, 26177, 282, 6598, 1251, 13847, 17, 11142, 388, 15224, 289, 10092, 17, 5218, 574, 5793, 49478, 293, 11365, 322, 895, 22876, 18, 12802, 281, 38683, 1809, 24349, 5778, 323, 3164, 36802, 282, 3580, 31658, 5482, 18, 3647, 3437, 2849, 291, 281, 290, 551, 6189, 4019, 895, 322, 2705, 1938, 16, 753, 371, 1755, 319, 37716, 35115, 24743, 18, 478, 28594, 546, 301, 19751, 470, 39675, 349, 936, 937, 28654, 16452, 274, 309, 26070, 16, 3091, 9935, 16790, 26716, 282, 23948, 282, 45206, 5214, 39195, 13021, 18, 608, 4966, 912, 289, 24380, 17, 14776, 589, 7434, 16, 15041, 3833, 1712, 16452, 26226, 309, 17527, 448, 26070, 18, 22054, 16, 519, 22256, 16, 9248, 763, 670, 26090, 473, 10524, 745, 14725, 282, 2059, 35772, 13, 11763, 322, 4896, 5197, 18, 478, 1295, 406, 3675, 5543, 454, 470, 282, 5017, 11290, 11258, 478, 28594, 546, 301, 19751, 470, 7609, 282, 39760, 4190, 18, 27857, 2232, 25224, 906, 3049, 1004, 655, 282, 4402, 511, 1674, 16, 44625, 282, 18308, 10347, 1212, 1326, 37044, 3580, 2228, 332, 18, 817, 6048, 1807, 5914, 30690, 30388, 40270, 18, 8858, 4220, 9332, 353, 935, 282, 20548, 680, 35772, 478, 28594, 546, 301, 19751, 470, 37426, 322, 895, 18, 365, 16876, 12013, 18308, 342, 548, 19425, 1032, 17, 263, 1756, 282, 6576, 582, 289, 10212, 538, 282, 5572, 575, 36493, 22979, 17, 21131, 18, 2681, 4770, 478, 28594, 546, 301, 47630, 470, 981, 6952, 528, 9329, 14121, 726, 1103, 49512, 312, 3064, 16, 374, 294, 28910, 272, 282, 28604, 505, 7193, 4783, 1463, 50166, 411, 17, 431, 16271, 16, 1210, 4857, 18308, 10347, 1133, 20478, 18, 17791, 16, 289, 1314, 697, 282, 10434, 5906, 16, 367, 25483, 11640, 309, 11979, 1165, 1623, 14686, 18, 31186, 19633, 18308, 10347, 680, 4966, 49519, 4110, 7143, 282, 25817, 26, 17, 27, 3763, 18, 3397, 2957, 4030, 505, 519, 5544, 18, 4635, 4443, 6354, 898, 11028, 289, 7190, 38913, 478, 630, 326, 7776, 910, 1038, 9982, 2508, 21986, 282, 28604, 726, 282, 25881, 11258, 18, 2681, 19633, 18389, 24366, 27749, 18308, 10347, 2818, 49491, 16, 1029, 294, 2222, 575, 15488, 11028, 478, 343, 2260, 2127, 470, 8616, 18, 365, 528, 347, 1068, 2557, 15607, 2048, 22829, 309, 8243, 16452, 26226, 289, 4417, 16, 428, 8396, 16, 1871, 7534, 1133, 2845, 19611, 18, 5454, 16, 1717, 481, 21996, 371, 11443, 22428, 31261, 435, 36268, 2205, 291, 282, 4356, 18308, 342, 712, 18, 3747, 16, 428, 6242, 530, 10938, 499, 642, 16, 4770, 28604, 3720, 16640, 1139, 322, 757, 30239, 2530, 1604, 1703, 478, 28594, 1037, 2078, 861, 640, 2513, 2722, 8900, 282, 42947, 16, 4538, 290, 24201, 292, 22797, 28604, 16, 4770, 18389, 1109, 16, 374, 282, 25881, 11258, 722, 1698, 7625, 1507, 360, 25788, 519, 6566, 3541, 18, 24187, 2602, 309, 11099, 22515, 16, 6177, 35936, 16903, 45287, 3216, 395, 411, 46405, 289, 999, 13966, 807, 18, 3747, 541, 5781, 25467, 528, 347, 1068, 328, 685, 373, 12839, 27126, 18, 2667, 15888, 16965, 7762, 3969, 15542, 16, 367, 7534, 1162, 12483, 8026, 6406, 19989, 11702, 309, 13078, 541, 19329, 432, 42519, 18, 365, 35992, 1604, 575, 11763, 25019, 16, 515, 1110, 16, 1085, 3957, 9737, 3124, 282, 19329, 668, 20491, 8392, 16, 5935, 448, 16141, 322, 2396, 530, 18, 727, 2334, 548, 478, 25626, 470, 1624, 753, 11763, 282, 23605, 388, 16, 7640, 4017, 16783, 8056, 411, 5306, 1248, 25453, 18, 23592, 25467, 29565, 1177, 2433, 12879, 341, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 562, 1496, 451, 1551, 4534, 1912, 3972, 349, 13878, 10733, 300, 720, 14313, 613, 478, 16639, 780, 17, 618, 8270, 470, 2086, 460, 347, 14294, 49631, 3583, 289, 11350, 17, 6436, 35544, 2241, 439, 8544, 12437, 24471, 20128, 272, 334, 35491, 282, 50128, 289, 20232, 2431, 42451, 18, 46899, 11285, 473, 4395, 13, 5273, 16, 374, 282, 3198, 685, 7730, 286, 13312, 309, 7512, 7431, 1409, 16497, 3763, 2791, 18, 4802, 10292, 18700, 16, 374, 478, 8422, 2328, 3785, 478, 16639, 780, 17, 618, 8270, 470, 424, 9444, 14294, 49631, 3583, 20949, 1807, 13771, 307, 4846, 25541, 282, 2100, 35534, 861, 31224, 30, 4408, 15166, 5129, 22557, 1496, 434, 5129, 16, 25433, 32174, 2086, 460, 554, 14294, 49631, 14457, 289, 439, 8544, 39237, 24471, 20128, 323, 13125, 324, 309, 1272, 5196, 281, 6175, 505, 14617, 488, 553, 282, 6551, 2988, 281, 6175, 37728, 309, 2923, 2407, 18, 824, 21858, 7475, 16, 5826, 349, 13878, 10733, 3314, 6535, 349, 19077, 18, 26966, 5854, 33515, 7920, 473, 4395, 13, 16974, 2075, 24009, 8977, 16, 374, 2086, 460, 280, 14294, 49631, 512, 289, 439, 8544, 3949, 24471, 40337, 3696, 2626, 282, 31692, 334, 349, 717, 1147, 35491, 334, 6619, 290, 20232, 917, 292, 42451, 18, 365, 4599, 1129, 16, 367, 1038, 16644, 6700, 35544, 289, 8300, 12666, 3850, 22170, 6816, 47499, 25113, 289, 30175, 43360, 944, 3643, 473, 10478, 282, 4675, 808, 6535, 424, 40956, 44649, 13, 639, 18966, 11969, 1743, 18, 478, 4408, 3761, 14160, 16, 282, 2604, 17, 32008, 6206, 745, 16, 20232, 743, 42451, 16, 31944, 329, 35014, 11536, 14294, 49631, 14457, 6271, 5447, 10996, 26230, 334, 19456, 9439, 8990, 910, 510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4486, 23904, 5538, 18, 14097, 3308, 282, 10429, 496, 12013, 22256, 18308, 10347, 1162, 7193, 334, 2856, 3286, 10091, 9225, 2418, 17, 263, 1756, 282, 2326, 620, 5151, 263, 18, 1598, 23904, 28604, 3230, 36275, 687, 1524, 1880, 478, 13781, 910, 33803, 778, 29565, 16, 417, 10123, 778, 478, 29428, 470, 289, 14928, 778, 478, 618, 1736, 23866, 861, 3138, 36882, 478, 32485, 18, 8381, 470, 10490, 19388, 282, 11147, 47694, 309, 4027, 2662, 5538, 334, 10279, 1147, 5594, 1433, 16, 282, 5049, 17, 277, 289, 3734, 6206, 18, 21561, 986, 2158, 478, 1295, 1225, 1604, 1870, 798, 470, 906, 687, 282, 17229, 16, 289, 5120, 12539, 281, 16452, 265, 5364, 302, 12784, 2411, 9852, 16, 43088, 764, 567, 6477, 16866, 10600, 20141, 40673, 16, 6437, 4246, 4121, 18, 365, 1169, 14366, 289, 34472, 17, 11276, 334, 10279, 1147, 5594, 1433, 18, 32418, 582, 32908, 575, 726, 10835, 925, 478, 1295, 1225, 1604, 34367, 272, 861, 4988, 18752, 35844, 406, 2175, 322, 35403, 309, 14497, 731, 1165, 18, 42775, 613, 47694, 651, 1332, 6152, 6197, 16, 367, 281, 2733, 38763, 16, 428, 46565, 16, 1122, 7369, 276, 18, 981, 289, 26177, 282, 6598, 1251, 13847, 17, 11142, 388, 15224, 289, 10092, 17, 5218, 574, 5793, 49478, 293, 11365, 322, 895, 22876, 18, 12802, 281, 38683, 1809, 24349, 5778, 323, 3164, 36802, 282, 3580, 31658, 5482, 18, 3647, 3437, 2849, 291, 281, 290, 551, 6189, 4019, 895, 322, 2705, 1938, 16, 753, 371, 1755, 319, 37716, 35115, 24743, 18, 478, 28594, 546, 301, 19751, 470, 39675, 349, 936, 937, 28654, 16452, 274, 309, 26070, 16, 3091, 9935, 16790, 26716, 282, 23948, 282, 45206, 5214, 39195, 13021, 18, 608, 4966, 912, 289, 24380, 17, 14776, 589, 7434, 16, 15041, 3833, 1712, 16452, 26226, 309, 17527, 448, 26070, 18, 22054, 16, 519, 22256, 16, 9248, 763, 670, 26090, 473, 10524, 745, 14725, 282, 2059, 35772, 13, 11763, 322, 4896, 5197, 18, 478, 1295, 406, 3675, 5543, 454, 470, 282, 5017, 11290, 11258, 478, 28594, 546, 301, 19751, 470, 7609, 282, 39760, 4190, 18, 27857, 2232, 25224, 906, 3049, 1004, 655, 282, 4402, 511, 1674, 16, 44625, 282, 18308, 10347, 1212, 1326, 37044, 3580, 2228, 332, 18, 817, 6048, 1807, 5914, 30690, 30388, 40270, 18, 8858, 4220, 9332, 353, 935, 282, 20548, 680, 35772, 478, 28594, 546, 301, 19751, 470, 37426, 322, 895, 18, 365, 16876, 12013, 18308, 342, 548, 19425, 1032, 17, 263, 1756, 282, 6576, 582, 289, 10212, 538, 282, 5572, 575, 36493, 22979, 17, 21131, 18, 2681, 4770, 478, 28594, 546, 301, 47630, 470, 981, 6952, 528, 9329, 14121, 726, 1103, 49512, 312, 3064, 16, 374, 294, 28910, 272, 282, 28604, 505, 7193, 4783, 1463, 50166, 411, 17, 431, 16271, 16, 1210, 4857, 18308, 10347, 1133, 20478, 18, 17791, 16, 289, 1314, 697, 282, 10434, 5906, 16, 367, 25483, 11640, 309, 11979, 1165, 1623, 14686, 18, 31186, 19633, 18308, 10347, 680, 4966, 49519, 4110, 7143, 282, 25817, 26, 17, 27, 3763, 18, 3397, 2957, 4030, 505, 519, 5544, 18, 4635, 4443, 6354, 898, 11028, 289, 7190, 38913, 478, 630, 326, 7776, 910, 1038, 9982, 2508, 21986, 282, 28604, 726, 282, 25881, 11258, 18, 2681, 19633, 18389, 24366, 27749, 18308, 10347, 2818, 49491, 16, 1029, 294, 2222, 575, 15488, 11028, 478, 343, 2260, 2127, 470, 8616, 18, 365, 528, 347, 1068, 2557, 15607, 2048, 22829, 309, 8243, 16452, 26226, 289, 4417, 16, 428, 8396, 16, 1871, 7534, 1133, 2845, 19611, 18, 5454, 16, 1717, 481, 21996, 371, 11443, 22428, 31261, 435, 36268, 2205, 291, 282, 4356, 18308, 342, 712, 18, 3747, 16, 428, 6242, 530, 10938, 499, 642, 16, 4770, 28604, 3720, 16640, 1139, 322, 757, 30239, 2530, 1604, 1703, 478, 28594, 1037, 2078, 861, 640, 2513, 2722, 8900, 282, 42947, 16, 4538, 290, 24201, 292, 22797, 28604, 16, 4770, 18389, 1109, 16, 374, 282, 25881, 11258, 722, 1698, 7625, 1507, 360, 25788, 519, 6566, 3541, 18, 24187, 2602, 309, 11099, 22515, 16, 6177, 35936, 16903, 45287, 3216, 395, 411, 46405, 289, 999, 13966, 807, 18, 3747, 541, 5781, 25467, 528, 347, 1068, 328, 685, 373, 12839, 27126, 18, 2667, 15888, 16965, 7762, 3969, 15542, 16, 367, 7534, 1162, 12483, 8026, 6406, 19989, 11702, 309, 13078, 541, 19329, 432, 42519, 18, 365, 35992, 1604, 575, 11763, 25019, 16, 515, 1110, 16, 1085, 3957, 9737, 3124, 282, 19329, 668, 20491, 8392, 16, 5935, 448, 16141, 322, 2396, 530, 18, 727, 2334, 548, 478, 25626, 470, 1624, 753, 11763, 282, 23605, 388, 16, 7640, 4017, 16783, 8056, 411, 5306, 1248, 25453, 18, 23592, 25467, 29565, 1177, 2433, 12879, 341, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 562, 1496, 451, 1551, 4534, 1912, 3972, 349, 13878, 10733, 300, 720, 14313, 613, 478, 16639, 780, 17, 618, 8270, 470, 2086, 460, 347, 14294, 49631, 3583, 289, 11350, 17, 6436, 35544, 2241, 439, 8544, 12437, 24471, 20128, 272, 334, 35491, 282, 50128, 289, 20232, 2431, 42451, 18, 46899, 11285, 473, 4395, 13, 5273, 16, 374, 282, 3198, 685, 7730, 286, 13312, 309, 7512, 7431, 1409, 16497, 3763, 2791, 18, 4802, 10292, 18700, 16, 374, 478, 8422, 2328, 3785, 478, 16639, 780, 17, 618, 8270, 470, 424, 9444, 14294, 49631, 3583, 20949, 1807, 13771, 307, 4846, 25541, 282, 2100, 35534, 861, 31224, 30, 4408, 15166, 5129, 22557, 1496, 434, 5129, 16, 25433, 32174, 2086, 460, 554, 14294, 49631, 14457, 289, 439, 8544, 39237, 24471, 20128, 323, 13125, 324, 309, 1272, 5196, 281, 6175, 505, 14617, 488, 553, 282, 6551, 2988, 281, 6175, 37728, 309, 2923, 2407, 18, 824, 21858, 7475, 16, 5826, 349, 13878, 10733, 3314, 6535, 349, 19077, 18, 26966, 5854, 33515, 7920, 473, 4395, 13, 16974, 2075, 24009, 8977, 16, 374, 2086, 460, 280, 14294, 49631, 512, 289, 439, 8544, 3949, 24471, 40337, 3696, 2626, 282, 31692, 334, 349, 717, 1147, 35491, 334, 6619, 290, 20232, 917, 292, 42451, 18, 365, 4599, 1129, 16, 367, 1038, 16644, 6700, 35544, 289, 8300, 12666, 3850, 22170, 6816, 47499, 25113, 289, 30175, 43360, 944, 3643, 473, 10478, 282, 4675, 808, 6535, 424, 40956, 44649, 13, 639, 18966, 11969, 1743, 18, 478, 4408, 3761, 14160, 16, 282, 2604, 17, 32008, 6206, 745, 16, 20232, 743, 42451, 16, 31944, 329, 35014, 11536, 14294, 49631, 14457, 6271, 5447, 10996, 26230, 334, 19456, 9439, 8990, 910, 510 ]
[ 27250, 5854, 11925, 473, 321, 1004, 354, 334, 5533, 8422, 1508, 17014, 2171, 7027, 512, 4220, 334, 6619, 37048, 2846, 2241, 16, 3279, 685, 4284, 286, 16169, 2696, 13312, 309, 7512, 1033, 1409, 16497, 3763, 1671, 18, 478, 19571, 10292, 18700, 16, 374, 9600, 3785, 478, 16639, 780, 17, 618, 8270, 470, 424, 9444, 14294, 49631, 3583, 20949, 1807, 13771, 307, 4846, 25541, 282, 2100, 35534, 18, 4988, 19633, 8522, 3097, 1166, 33900, 16, 26388, 282, 26999, 17852, 680, 28536, 33394, 4939, 448, 8915, 290, 9811, 910, 510, 2323, 2075, 24009, 18, 1253, 1038, 14291, 16, 374, 481, 37324, 9038, 27594, 282, 34088, 16, 367, 1038, 24169, 20785, 282, 3416, 22170, 477, 1963, 472, 4654, 8270, 553, 18, 478, 677, 2567, 4190, 16, 9259, 290, 3342, 7292, 9524, 2241, 16, 14294, 49631, 512, 289, 505, 17653, 281, 3598, 2604, 334, 29809, 7847, 779, 5684, 1033, 2261, 22, 3763, 2791, 282, 2100, 25282, 16570, 289, 44498, 2169, 18, 967, 803, 33900, 2241, 294, 2958, 26807, 2243, 16642, 779, 19967, 1033, 491, 16, 25, 5096, 2791, 910, 510, 30357, 5854, 11925, 18, 478, 16639, 780, 17, 618, 8270, 470, 39728, 19151, 842, 448, 39373, 2706, 3597, 411, 17, 431, 33704, 4660, 264, 506, 281, 16755, 8943, 18, 21779, 16755, 755, 1162, 36537, 2241, 21744, 2364, 1533, 5096, 2791, 18, 403, 18254, 14640, 382, 30384, 639, 2245, 315, 1156, 4500, 18, 26716, 7462, 4173, 16, 367, 11166, 4500, 18, 11462, 2241, 8926, 349, 19077, 18, 403, 33403, 38618, 289, 2760, 11188, 11462, 7924, 9528, 2393, 5447, 44472, 4921, 18, 2112, 35439, 33515, 7920, 898, 49345, 13061, 16, 2766, 19285, 309, 502, 16, 374, 29908, 478, 16639, 780, 17, 618, 8270, 470, 685, 23285, 5348, 12457, 16, 2486, 5042, 857, 3674, 349, 12455, 18, 365, 2630, 281, 9350, 304, 478, 16639, 780, 17, 618, 8270, 470, 4770, 4137, 6732, 10218, 44319, 10547, 6729, 272, 29034, 272, 14672, 539, 12441, 539, 23758, 16, 367, 12099, 344, 10650, 38327, 9541, 17, 24339, 272, 13512, 12671, 16742, 18532, 272, 22080, 41669, 1450, 1143, 4612, 18, 365, 2343, 4120, 1595, 3059, 14084, 44072, 5616, 16095, 47868, 1388, 1624, 12099, 17853, 282, 27246, 5447, 12832, 26839, 18, 7042, 11009, 12893, 29074, 1166, 481, 12094, 647, 3003, 281, 19968, 478, 16639, 780, 17, 618, 8270, 861, 4802, 3169, 334, 19983, 6619, 2815, 1912, 3972, 282, 22557, 1496, 547, 12564, 16, 374, 282, 2361, 8357, 5757, 1007, 1421, 1101, 510, 290, 50128, 282, 7117, 27177, 9802, 473, 283, 18, 1032, 422, 18, 50024, 11828, 2407, 934, 290, 20232, 2431, 42451, 473, 283, 18, 491, 422, 18, 892, 11828, 2407, 13, 289, 290, 529, 37180, 6238, 20308, 1207, 473, 285, 18, 3070, 11828, 2407, 814, 23409, 290, 50128, 282, 7117, 27177, 9802, 7832, 294, 9044, 7117, 2246, 1270, 17209, 16, 334, 1420, 23803, 13742, 519, 1533, 986, 17703, 8124, 16, 3017, 28017, 4896, 1533, 986, 16, 49644, 6370, 3584, 1219, 609, 1624, 6357, 30345, 2241, 478, 3883, 7309, 6001, 429, 512, 289, 29591, 861, 824, 327, 18, 22, 422, 18, 2225, 11828, 2407, 4434, 12414, 1116, 895, 5564, 649, 519, 4256, 986, 17703, 8124, 16, 3017, 28017, 334, 1420, 5270, 986, 16, 26698, 492, 18, 25295, 536, 11681, 3032, 334, 7253, 7705, 1038, 23803, 13742, 282, 2100, 36222, 282, 9802, 519, 430, 3763, 2791, 18, 999, 529, 37180, 3732, 20308, 662, 473, 285, 18, 3070, 11828, 2407, 13, 23803, 13742, 282, 2100, 36222, 282, 9802, 360, 34862, 2634, 519, 4256, 7984, 2634, 2791, 670, 282, 9802, 25282, 16570, 670, 13793, 22184, 10901, 2198, 349, 2849, 360, 2236, 779, 519, 3437, 986, 16, 10050, 30599, 40010, 15352, 37289, 87, 23154, 3565, 657, 7550, 365, 1918, 512, 18, 48340, 12414, 1116, 1698, 1038, 5564, 649, 25046, 4793, 1810, 309, 3017, 519, 4256, 986, 2988, 49660, 8124, 309, 3017, 519, 7518, 986, 477, 10556, 304, 282, 9802, 519, 34862, 2634, 2791, 670, 282, 9802, 25282, 16570, 670, 13793, 22184, 10901, 2198, 349, 2849, 519, 48701, 4776, 2988, 749, 453, 4593, 18, 478, 6161, 1011, 18890, 14160, 282, 1551, 1747, 19196, 6034, 334, 1514, 28950, 34582, 16, 502, 13742, 1715, 6769, 840, 9245, 281, 35102, 4336, 979, 8124, 477, 10556, 304, 910, 510, 5273, 30599, 18, 365, 22557, 1496, 547, 12564, 639, 1038, 29128, 290, 1103, 2431, 12783, 14160, 334, 6619, 282, 4599, 12457, 478, 16639, 780, 17, 618, 8270, 470, 519, 2706, 3990, 11826, 779, 18, 29157, 1214, 548, 14294, 49631, 3583, 289, 24471, 20128, 323, 24661, 19749, 11403, 3003, 5129, 290, 349, 42350, 47043, 18, 1606, 1038, 23817, 424, 25110, 16154, 16, 374, 48891, 33498, 22170, 3164, 349, 19077, 18, 478, 1140, 4158, 424, 10336, 434, 1003, 2530, 616, 513, 15744, 16, 289, 1003, 4302, 14123, 432, 4760, 290, 970, 16, 374, 492, 20240, 300, 9482, 4433, 4551, 910, 510, 2323, 15320, 14294, 49631, 3583, 12975, 15528, 554, 3340, 18, 1598, 4974, 1101, 16, 349, 759, 3314, 3671, 355, 16, 3014, 16, 374, 281, 4016, 3597, 17653, 35330, 510, 16974, 510, 3164, 282, 21759, 404, 16, 34197, 46199, 2887, 2086, 460, 347, 14294, 49631, 3583, 9025, 994, 21593, 1055, 322, 3225, 18, 12280, 1038, 8097, 16, 374, 16, 334, 3761, 8613, 7290, 684, 17, 15210, 16, 44249, 404, 14294, 49631, 3643, 9914, 21090, 9, 11400, 478, 16639, 780, 17, 618, 8270, 910, 367, 722, 18707, 1223, 430, 7418, 515, 678, 1055, 322, 1623, 6604, 18898, 18, 38659, 439, 8544, 17746, 24471, 20128, 323, 6370, 10989, 20149, 2815, 16, 374, 505, 424, 10336, 549, 3164, 282, 14109, 309, 23015, 282, 2630, 281, 38010, 979, 29668, 14328, 8265, 289, 334, 22704, 9013, 34624, 282, 1551, 18, 478, 1140, 7349, 678, 3336, 764, 519, 30217, 14132, 1101, 282, 4599, 1710, 910, 510, 4725, 492, 473, 321, 1004, 354, 334, 5533, 8422, 1508, 814, 478, 1009, 5528, 16, 290, 970, 16, 374, 24471, 40337, 38137, 16, 428, 481, 5073, 13391, 16, 15596, 910, 510, 5692, 15320, 18, 45855, 539, 7649, 6135, 334, 5034, 536, 9942, 290, 2246, 1580, 289, 7117, 2246, 1580, 41939, 895, 953, 34377, 749, 26900, 13928, 16, 827, 492, 3164, 349, 13952, 2923, 2407, 289, 19194, 4973, 360, 1008, 382, 282, 1551, 16, 10050, 9216, 14132, 15352, 951, 15856, 21909, 1149, 26299, 41402, 768, 27551, 18, 478, 42658, 322, 2993, 953, 6244, 4684, 294, 8217, 334, 19983, 49605, 6619, 309, 2923, 31358, 4000, 18, 4794, 2644, 3147, 21057, 424, 1474, 9626, 1743, 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 ]
[ 27250, 5854, 11925, 473, 321, 1004, 354, 334, 5533, 8422, 1508, 17014, 2171, 7027, 512, 4220, 334, 6619, 37048, 2846, 2241, 16, 3279, 685, 4284, 286, 16169, 2696, 13312, 309, 7512, 1033, 1409, 16497, 3763, 1671, 18, 478, 19571, 10292, 18700, 16, 374, 9600, 3785, 478, 16639, 780, 17, 618, 8270, 470, 424, 9444, 14294, 49631, 3583, 20949, 1807, 13771, 307, 4846, 25541, 282, 2100, 35534, 18, 4988, 19633, 8522, 3097, 1166, 33900, 16, 26388, 282, 26999, 17852, 680, 28536, 33394, 4939, 448, 8915, 290, 9811, 910, 510, 2323, 2075, 24009, 18, 1253, 1038, 14291, 16, 374, 481, 37324, 9038, 27594, 282, 34088, 16, 367, 1038, 24169, 20785, 282, 3416, 22170, 477, 1963, 472, 4654, 8270, 553, 18, 478, 677, 2567, 4190, 16, 9259, 290, 3342, 7292, 9524, 2241, 16, 14294, 49631, 512, 289, 505, 17653, 281, 3598, 2604, 334, 29809, 7847, 779, 5684, 1033, 2261, 22, 3763, 2791, 282, 2100, 25282, 16570, 289, 44498, 2169, 18, 967, 803, 33900, 2241, 294, 2958, 26807, 2243, 16642, 779, 19967, 1033, 491, 16, 25, 5096, 2791, 910, 510, 30357, 5854, 11925, 18, 478, 16639, 780, 17, 618, 8270, 470, 39728, 19151, 842, 448, 39373, 2706, 3597, 411, 17, 431, 33704, 4660, 264, 506, 281, 16755, 8943, 18, 21779, 16755, 755, 1162, 36537, 2241, 21744, 2364, 1533, 5096, 2791, 18, 403, 18254, 14640, 382, 30384, 639, 2245, 315, 1156, 4500, 18, 26716, 7462, 4173, 16, 367, 11166, 4500, 18, 11462, 2241, 8926, 349, 19077, 18, 403, 33403, 38618, 289, 2760, 11188, 11462, 7924, 9528, 2393, 5447, 44472, 4921, 18, 2112, 35439, 33515, 7920, 898, 49345, 13061, 16, 2766, 19285, 309, 502, 16, 374, 29908, 478, 16639, 780, 17, 618, 8270, 470, 685, 23285, 5348, 12457, 16, 2486, 5042, 857, 3674, 349, 12455, 18, 365, 2630, 281, 9350, 304, 478, 16639, 780, 17, 618, 8270, 470, 4770, 4137, 6732, 10218, 44319, 10547, 6729, 272, 29034, 272, 14672, 539, 12441, 539, 23758, 16, 367, 12099, 344, 10650, 38327, 9541, 17, 24339, 272, 13512, 12671, 16742, 18532, 272, 22080, 41669, 1450, 1143, 4612, 18, 365, 2343, 4120, 1595, 3059, 14084, 44072, 5616, 16095, 47868, 1388, 1624, 12099, 17853, 282, 27246, 5447, 12832, 26839, 18, 7042, 11009, 12893, 29074, 1166, 481, 12094, 647, 3003, 281, 19968, 478, 16639, 780, 17, 618, 8270, 861, 4802, 3169, 334, 19983, 6619, 2815, 1912, 3972, 282, 22557, 1496, 547, 12564, 16, 374, 282, 2361, 8357, 5757, 1007, 1421, 1101, 510, 290, 50128, 282, 7117, 27177, 9802, 473, 283, 18, 1032, 422, 18, 50024, 11828, 2407, 934, 290, 20232, 2431, 42451, 473, 283, 18, 491, 422, 18, 892, 11828, 2407, 13, 289, 290, 529, 37180, 6238, 20308, 1207, 473, 285, 18, 3070, 11828, 2407, 814, 23409, 290, 50128, 282, 7117, 27177, 9802, 7832, 294, 9044, 7117, 2246, 1270, 17209, 16, 334, 1420, 23803, 13742, 519, 1533, 986, 17703, 8124, 16, 3017, 28017, 4896, 1533, 986, 16, 49644, 6370, 3584, 1219, 609, 1624, 6357, 30345, 2241, 478, 3883, 7309, 6001, 429, 512, 289, 29591, 861, 824, 327, 18, 22, 422, 18, 2225, 11828, 2407, 4434, 12414, 1116, 895, 5564, 649, 519, 4256, 986, 17703, 8124, 16, 3017, 28017, 334, 1420, 5270, 986, 16, 26698, 492, 18, 25295, 536, 11681, 3032, 334, 7253, 7705, 1038, 23803, 13742, 282, 2100, 36222, 282, 9802, 519, 430, 3763, 2791, 18, 999, 529, 37180, 3732, 20308, 662, 473, 285, 18, 3070, 11828, 2407, 13, 23803, 13742, 282, 2100, 36222, 282, 9802, 360, 34862, 2634, 519, 4256, 7984, 2634, 2791, 670, 282, 9802, 25282, 16570, 670, 13793, 22184, 10901, 2198, 349, 2849, 360, 2236, 779, 519, 3437, 986, 16, 10050, 30599, 40010, 15352, 37289, 87, 23154, 3565, 657, 7550, 365, 1918, 512, 18, 48340, 12414, 1116, 1698, 1038, 5564, 649, 25046, 4793, 1810, 309, 3017, 519, 4256, 986, 2988, 49660, 8124, 309, 3017, 519, 7518, 986, 477, 10556, 304, 282, 9802, 519, 34862, 2634, 2791, 670, 282, 9802, 25282, 16570, 670, 13793, 22184, 10901, 2198, 349, 2849, 519, 48701, 4776, 2988, 749, 453, 4593, 18, 478, 6161, 1011, 18890, 14160, 282, 1551, 1747, 19196, 6034, 334, 1514, 28950, 34582, 16, 502, 13742, 1715, 6769, 840, 9245, 281, 35102, 4336, 979, 8124, 477, 10556, 304, 910, 510, 5273, 30599, 18, 365, 22557, 1496, 547, 12564, 639, 1038, 29128, 290, 1103, 2431, 12783, 14160, 334, 6619, 282, 4599, 12457, 478, 16639, 780, 17, 618, 8270, 470, 519, 2706, 3990, 11826, 779, 18, 29157, 1214, 548, 14294, 49631, 3583, 289, 24471, 20128, 323, 24661, 19749, 11403, 3003, 5129, 290, 349, 42350, 47043, 18, 1606, 1038, 23817, 424, 25110, 16154, 16, 374, 48891, 33498, 22170, 3164, 349, 19077, 18, 478, 1140, 4158, 424, 10336, 434, 1003, 2530, 616, 513, 15744, 16, 289, 1003, 4302, 14123, 432, 4760, 290, 970, 16, 374, 492, 20240, 300, 9482, 4433, 4551, 910, 510, 2323, 15320, 14294, 49631, 3583, 12975, 15528, 554, 3340, 18, 1598, 4974, 1101, 16, 349, 759, 3314, 3671, 355, 16, 3014, 16, 374, 281, 4016, 3597, 17653, 35330, 510, 16974, 510, 3164, 282, 21759, 404, 16, 34197, 46199, 2887, 2086, 460, 347, 14294, 49631, 3583, 9025, 994, 21593, 1055, 322, 3225, 18, 12280, 1038, 8097, 16, 374, 16, 334, 3761, 8613, 7290, 684, 17, 15210, 16, 44249, 404, 14294, 49631, 3643, 9914, 21090, 9, 11400, 478, 16639, 780, 17, 618, 8270, 910, 367, 722, 18707, 1223, 430, 7418, 515, 678, 1055, 322, 1623, 6604, 18898, 18, 38659, 439, 8544, 17746, 24471, 20128, 323, 6370, 10989, 20149, 2815, 16, 374, 505, 424, 10336, 549, 3164, 282, 14109, 309, 23015, 282, 2630, 281, 38010, 979, 29668, 14328, 8265, 289, 334, 22704, 9013, 34624, 282, 1551, 18, 478, 1140, 7349, 678, 3336, 764, 519, 30217, 14132, 1101, 282, 4599, 1710, 910, 510, 4725, 492, 473, 321, 1004, 354, 334, 5533, 8422, 1508, 814, 478, 1009, 5528, 16, 290, 970, 16, 374, 24471, 40337, 38137, 16, 428, 481, 5073, 13391, 16, 15596, 910, 510, 5692, 15320, 18, 45855, 539, 7649, 6135, 334, 5034, 536, 9942, 290, 2246, 1580, 289, 7117, 2246, 1580, 41939, 895, 953, 34377, 749, 26900, 13928, 16, 827, 492, 3164, 349, 13952, 2923, 2407, 289, 19194, 4973, 360, 1008, 382, 282, 1551, 16, 10050, 9216, 14132, 15352, 951, 15856, 21909, 1149, 26299, 41402, 768, 27551, 18, 478, 42658, 322, 2993, 953, 6244, 4684, 294, 8217, 334, 19983, 49605, 6619, 309, 2923, 31358, 4000, 18, 4794, 2644, 3147, 21057, 424, 1474, 9626, 1743, 16 ]
[ 2391, 3147, 7260, 16, 374, 827, 10933, 2891, 322, 1146, 278, 802, 26840, 17627, 4486, 16, 502, 10566, 840, 10954, 286, 282, 697, 7814, 910, 510, 10050, 492, 18, 2667, 12138, 6175, 481, 1743, 322, 381, 648, 435, 6998, 1134, 289, 26701, 48269, 16, 367, 3848, 13494, 8195, 22164, 2110, 4004, 16, 2391, 16171, 329, 30650, 28602, 360, 14160, 289, 16, 428, 3888, 7419, 7363, 4211, 6328, 16, 3604, 988, 17, 3697, 31895, 27255, 2500, 16, 36774, 2904, 365, 1918, 512, 18, 439, 1215, 14394, 924, 16, 374, 7885, 670, 6774, 745, 1747, 28384, 282, 2059, 411, 2044, 289, 14617, 488, 6025, 282, 2407, 16, 16485, 16, 5273, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 11636, 2905, 265, 12904, 424, 7848, 478, 11844, 609, 1070, 470, 20120, 4056, 11230, 2145, 29893, 32870, 18472, 7015, 1756, 282, 14526, 1046, 285, 9055, 14982, 1011, 8421, 567, 12241, 16, 2511, 4120, 16, 3429, 2059, 411, 3322, 11726, 432, 6866, 282, 3182, 18, 824, 13460, 3761, 16, 28577, 12646, 29893, 16, 367, 1038, 8385, 17917, 343, 32870, 16, 1586, 11981, 282, 26155, 1045, 16, 44742, 2689, 2818, 32369, 1016, 4843, 5584, 3763, 18, 31224, 30, 11636, 2905, 265, 2771, 3384, 8385, 478, 11844, 609, 1070, 470, 473, 38, 1006, 838, 657, 13, 23276, 11350, 17, 40000, 2145, 17917, 343, 32870, 29893, 726, 309, 5421, 1119, 1011, 722, 8421, 16, 2511, 4120, 16, 18472, 7015, 1756, 282, 14526, 1046, 285, 9055, 14982, 16, 3429, 2059, 411, 3322, 11726, 432, 282, 3182, 34610, 18, 1367, 803, 3110, 33409, 33082, 18, 18922, 16, 282, 1754, 32073, 7732, 11230, 10662, 290, 3177, 12100, 282, 34456, 289, 590, 4695, 282, 23101, 914, 16, 2756, 4056, 282, 14526, 7878, 10241, 309, 3614, 10530, 49190, 18, 10934, 5937, 8063, 17, 28050, 951, 10141, 573, 5436, 3625, 9508, 4848, 16, 374, 1574, 6441, 46280, 687, 281, 2604, 12260, 16, 785, 17659, 549, 9916, 2016, 8474, 872, 2151, 29611, 6931, 478, 672, 39865, 2921, 278, 16900, 264, 910, 33007, 1754, 12076, 1033, 828, 430, 3763, 30172, 18, 2949, 924, 16, 2438, 3665, 16, 374, 294, 13453, 21708, 48835, 8385, 17917, 343, 32870, 18, 1253, 11981, 282, 1405, 282, 26155, 1045, 289, 28035, 1852, 29511, 2206, 18, 38783, 21821, 15279, 478, 390, 3214, 7945, 290, 10504, 4953, 432, 289, 708, 7999, 267, 432, 6206, 16, 34396, 282, 4377, 304, 4122, 861, 365, 7847, 1045, 8851, 4770, 2145, 38783, 21821, 289, 505, 17653, 38769, 4957, 281, 5574, 20930, 969, 9003, 89, 410, 1075, 1346, 838, 14554, 309, 7572, 28577, 4929, 510, 334, 6661, 309, 4286, 18, 7249, 309, 502, 16, 374, 37563, 2644, 1686, 4422, 15154, 322, 898, 26003, 5698, 548, 16, 3888, 13156, 18479, 16, 374, 2689, 1880, 45167, 5383, 6410, 1033, 4843, 5584, 3763, 16, 753, 3604, 3018, 309, 3441, 6931, 16, 3876, 7539, 2490, 323, 21821, 18, 985, 16926, 29893, 21821, 16, 282, 8372, 678, 10662, 478, 262, 1634, 1040, 10284, 470, 289, 290, 970, 16, 478, 4743, 11931, 8109, 411, 3700, 2725, 487, 17, 45106, 280, 282, 34456, 381, 3514, 1609, 289, 10675, 282, 1190, 3402, 541, 924, 16, 753, 31592, 2666, 1888, 861, 478, 1358, 10899, 16, 374, 2694, 14287, 12879, 341, 16864, 3089, 42826, 1852, 867, 16, 5045, 745, 33382, 1852, 910, 510, 39672, 678, 18, 9873, 19139, 290, 1360, 14055, 1354, 16, 29893, 21821, 23350, 1424, 289, 16020, 9616, 16, 387, 22603, 281, 1479, 24225, 20420, 13279, 4830, 5035, 35109, 28565, 367, 18, 365, 1634, 28577, 34046, 678, 24989, 16, 374, 906, 6993, 26899, 8087, 16, 21135, 16, 374, 28565, 14853, 266, 722, 7227, 309, 13314, 4830, 18, 29893, 1038, 10703, 16, 374, 5273, 39432, 1116, 9704, 13279, 15465, 567, 3725, 21397, 16, 2567, 428, 6843, 294, 19772, 289, 35438, 683, 1385, 24163, 366, 18, 478, 15609, 21337, 451, 34567, 12319, 18376, 289, 294, 267, 1569, 47002, 746, 898, 3716, 2701, 1023, 6205, 910, 510, 5301, 678, 18, 29893, 39672, 16, 374, 475, 1617, 2886, 448, 3193, 28565, 38079, 529, 37180, 869, 16, 867, 3818, 39321, 315, 6244, 2135, 2904, 16, 367, 1038, 30290, 424, 17019, 13290, 722, 5169, 18, 478, 732, 349, 481, 417, 2002, 505, 322, 396, 4724, 910, 510, 9321, 32073, 7732, 11230, 18, 2949, 924, 16, 282, 1634, 28577, 34046, 29893, 12333, 847, 4481, 758, 19744, 16, 360, 1639, 722, 4176, 300, 36621, 300, 30506, 16, 290, 5606, 7242, 2466, 46875, 28409, 4282, 16, 367, 1038, 290, 16964, 2662, 20532, 289, 20458, 4056, 11230, 18, 478, 45182, 1195, 6145, 11844, 609, 3021, 11, 2756, 7766, 24939, 13071, 541, 703, 18, 889, 26285, 784, 16, 282, 2615, 445, 16, 2678, 16, 753, 8602, 24841, 290, 3217, 40988, 46840, 3212, 1354, 910, 510, 10703, 29893, 21821, 18, 365, 11366, 978, 779, 8851, 4770, 2145, 38783, 21821, 289, 505, 5590, 29893, 27875, 12735, 477, 16569, 47464, 2509, 10928, 304, 1059, 980, 8420, 5427, 309, 8357, 15474, 289, 9776, 2516, 18, 16842, 39845, 1387, 414, 28794, 2127, 10845, 1021, 1095, 1308, 1180, 7361, 5982, 15795, 2929, 16, 1586, 840, 19117, 541, 21501, 428, 37932, 16, 453, 289, 8501, 2110, 31676, 18, 1059, 980, 8420, 5427, 322, 3110, 16, 309, 1851, 3017, 29292, 11389, 16, 515, 17029, 505, 12565, 1090, 536, 18, 1937, 16379, 13761, 497, 679, 306, 440, 6728, 5842, 11338, 16, 1038, 10480, 18, 17842, 17, 16981, 29893, 906, 4056, 11230, 282, 5021, 17, 32008, 6206, 16, 785, 722, 1292, 16, 16555, 360, 34493, 5855, 4623, 2145, 38783, 21821, 17455, 3059, 4830, 18, 11468, 37818, 282, 12482, 282, 11078, 1045, 18, 1606, 7860, 2625, 1949, 32837, 18, 478, 11844, 609, 1070, 470, 376, 481, 10546, 8385, 23276, 17917, 343, 32870, 18, 365, 3734, 1045, 29893, 18585, 6931, 478, 33929, 778, 6591, 910, 282, 2114, 10703, 290, 3177, 19660, 263, 282, 4377, 304, 4122, 289, 424, 17809, 281, 7231, 9551, 9048, 2389, 1634, 20819, 432, 21940, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 18306, 470, 895, 3604, 2303, 1505, 31294, 5115, 478, 45295, 6599, 17, 21, 910, 6133, 1314, 33325, 4956, 350, 377, 748, 567, 7410, 281, 8992, 92, 461, 49, 4166, 787, 18, 8992, 92, 461, 1033, 4256, 986, 29093, 309, 970, 16, 753, 281, 1408, 6599, 778, 2303, 5235, 309, 18836, 16, 478, 18306, 470, 2618, 13047, 20676, 15287, 687, 309, 42199, 33190, 39945, 16400, 18, 28616, 322, 5285, 5832, 16733, 22636, 353, 1251, 7583, 289, 13198, 7341, 5613, 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 ]
[ 2391, 3147, 7260, 16, 374, 827, 10933, 2891, 322, 1146, 278, 802, 26840, 17627, 4486, 16, 502, 10566, 840, 10954, 286, 282, 697, 7814, 910, 510, 10050, 492, 18, 2667, 12138, 6175, 481, 1743, 322, 381, 648, 435, 6998, 1134, 289, 26701, 48269, 16, 367, 3848, 13494, 8195, 22164, 2110, 4004, 16, 2391, 16171, 329, 30650, 28602, 360, 14160, 289, 16, 428, 3888, 7419, 7363, 4211, 6328, 16, 3604, 988, 17, 3697, 31895, 27255, 2500, 16, 36774, 2904, 365, 1918, 512, 18, 439, 1215, 14394, 924, 16, 374, 7885, 670, 6774, 745, 1747, 28384, 282, 2059, 411, 2044, 289, 14617, 488, 6025, 282, 2407, 16, 16485, 16, 5273, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 11636, 2905, 265, 12904, 424, 7848, 478, 11844, 609, 1070, 470, 20120, 4056, 11230, 2145, 29893, 32870, 18472, 7015, 1756, 282, 14526, 1046, 285, 9055, 14982, 1011, 8421, 567, 12241, 16, 2511, 4120, 16, 3429, 2059, 411, 3322, 11726, 432, 6866, 282, 3182, 18, 824, 13460, 3761, 16, 28577, 12646, 29893, 16, 367, 1038, 8385, 17917, 343, 32870, 16, 1586, 11981, 282, 26155, 1045, 16, 44742, 2689, 2818, 32369, 1016, 4843, 5584, 3763, 18, 31224, 30, 11636, 2905, 265, 2771, 3384, 8385, 478, 11844, 609, 1070, 470, 473, 38, 1006, 838, 657, 13, 23276, 11350, 17, 40000, 2145, 17917, 343, 32870, 29893, 726, 309, 5421, 1119, 1011, 722, 8421, 16, 2511, 4120, 16, 18472, 7015, 1756, 282, 14526, 1046, 285, 9055, 14982, 16, 3429, 2059, 411, 3322, 11726, 432, 282, 3182, 34610, 18, 1367, 803, 3110, 33409, 33082, 18, 18922, 16, 282, 1754, 32073, 7732, 11230, 10662, 290, 3177, 12100, 282, 34456, 289, 590, 4695, 282, 23101, 914, 16, 2756, 4056, 282, 14526, 7878, 10241, 309, 3614, 10530, 49190, 18, 10934, 5937, 8063, 17, 28050, 951, 10141, 573, 5436, 3625, 9508, 4848, 16, 374, 1574, 6441, 46280, 687, 281, 2604, 12260, 16, 785, 17659, 549, 9916, 2016, 8474, 872, 2151, 29611, 6931, 478, 672, 39865, 2921, 278, 16900, 264, 910, 33007, 1754, 12076, 1033, 828, 430, 3763, 30172, 18, 2949, 924, 16, 2438, 3665, 16, 374, 294, 13453, 21708, 48835, 8385, 17917, 343, 32870, 18, 1253, 11981, 282, 1405, 282, 26155, 1045, 289, 28035, 1852, 29511, 2206, 18, 38783, 21821, 15279, 478, 390, 3214, 7945, 290, 10504, 4953, 432, 289, 708, 7999, 267, 432, 6206, 16, 34396, 282, 4377, 304, 4122, 861, 365, 7847, 1045, 8851, 4770, 2145, 38783, 21821, 289, 505, 17653, 38769, 4957, 281, 5574, 20930, 969, 9003, 89, 410, 1075, 1346, 838, 14554, 309, 7572, 28577, 4929, 510, 334, 6661, 309, 4286, 18, 7249, 309, 502, 16, 374, 37563, 2644, 1686, 4422, 15154, 322, 898, 26003, 5698, 548, 16, 3888, 13156, 18479, 16, 374, 2689, 1880, 45167, 5383, 6410, 1033, 4843, 5584, 3763, 16, 753, 3604, 3018, 309, 3441, 6931, 16, 3876, 7539, 2490, 323, 21821, 18, 985, 16926, 29893, 21821, 16, 282, 8372, 678, 10662, 478, 262, 1634, 1040, 10284, 470, 289, 290, 970, 16, 478, 4743, 11931, 8109, 411, 3700, 2725, 487, 17, 45106, 280, 282, 34456, 381, 3514, 1609, 289, 10675, 282, 1190, 3402, 541, 924, 16, 753, 31592, 2666, 1888, 861, 478, 1358, 10899, 16, 374, 2694, 14287, 12879, 341, 16864, 3089, 42826, 1852, 867, 16, 5045, 745, 33382, 1852, 910, 510, 39672, 678, 18, 9873, 19139, 290, 1360, 14055, 1354, 16, 29893, 21821, 23350, 1424, 289, 16020, 9616, 16, 387, 22603, 281, 1479, 24225, 20420, 13279, 4830, 5035, 35109, 28565, 367, 18, 365, 1634, 28577, 34046, 678, 24989, 16, 374, 906, 6993, 26899, 8087, 16, 21135, 16, 374, 28565, 14853, 266, 722, 7227, 309, 13314, 4830, 18, 29893, 1038, 10703, 16, 374, 5273, 39432, 1116, 9704, 13279, 15465, 567, 3725, 21397, 16, 2567, 428, 6843, 294, 19772, 289, 35438, 683, 1385, 24163, 366, 18, 478, 15609, 21337, 451, 34567, 12319, 18376, 289, 294, 267, 1569, 47002, 746, 898, 3716, 2701, 1023, 6205, 910, 510, 5301, 678, 18, 29893, 39672, 16, 374, 475, 1617, 2886, 448, 3193, 28565, 38079, 529, 37180, 869, 16, 867, 3818, 39321, 315, 6244, 2135, 2904, 16, 367, 1038, 30290, 424, 17019, 13290, 722, 5169, 18, 478, 732, 349, 481, 417, 2002, 505, 322, 396, 4724, 910, 510, 9321, 32073, 7732, 11230, 18, 2949, 924, 16, 282, 1634, 28577, 34046, 29893, 12333, 847, 4481, 758, 19744, 16, 360, 1639, 722, 4176, 300, 36621, 300, 30506, 16, 290, 5606, 7242, 2466, 46875, 28409, 4282, 16, 367, 1038, 290, 16964, 2662, 20532, 289, 20458, 4056, 11230, 18, 478, 45182, 1195, 6145, 11844, 609, 3021, 11, 2756, 7766, 24939, 13071, 541, 703, 18, 889, 26285, 784, 16, 282, 2615, 445, 16, 2678, 16, 753, 8602, 24841, 290, 3217, 40988, 46840, 3212, 1354, 910, 510, 10703, 29893, 21821, 18, 365, 11366, 978, 779, 8851, 4770, 2145, 38783, 21821, 289, 505, 5590, 29893, 27875, 12735, 477, 16569, 47464, 2509, 10928, 304, 1059, 980, 8420, 5427, 309, 8357, 15474, 289, 9776, 2516, 18, 16842, 39845, 1387, 414, 28794, 2127, 10845, 1021, 1095, 1308, 1180, 7361, 5982, 15795, 2929, 16, 1586, 840, 19117, 541, 21501, 428, 37932, 16, 453, 289, 8501, 2110, 31676, 18, 1059, 980, 8420, 5427, 322, 3110, 16, 309, 1851, 3017, 29292, 11389, 16, 515, 17029, 505, 12565, 1090, 536, 18, 1937, 16379, 13761, 497, 679, 306, 440, 6728, 5842, 11338, 16, 1038, 10480, 18, 17842, 17, 16981, 29893, 906, 4056, 11230, 282, 5021, 17, 32008, 6206, 16, 785, 722, 1292, 16, 16555, 360, 34493, 5855, 4623, 2145, 38783, 21821, 17455, 3059, 4830, 18, 11468, 37818, 282, 12482, 282, 11078, 1045, 18, 1606, 7860, 2625, 1949, 32837, 18, 478, 11844, 609, 1070, 470, 376, 481, 10546, 8385, 23276, 17917, 343, 32870, 18, 365, 3734, 1045, 29893, 18585, 6931, 478, 33929, 778, 6591, 910, 282, 2114, 10703, 290, 3177, 19660, 263, 282, 4377, 304, 4122, 289, 424, 17809, 281, 7231, 9551, 9048, 2389, 1634, 20819, 432, 21940, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 18306, 470, 895, 3604, 2303, 1505, 31294, 5115, 478, 45295, 6599, 17, 21, 910, 6133, 1314, 33325, 4956, 350, 377, 748, 567, 7410, 281, 8992, 92, 461, 49, 4166, 787, 18, 8992, 92, 461, 1033, 4256, 986, 29093, 309, 970, 16, 753, 281, 1408, 6599, 778, 2303, 5235, 309, 18836, 16, 478, 18306, 470, 2618, 13047, 20676, 15287, 687, 309, 42199, 33190, 39945, 16400, 18, 28616, 322, 5285, 5832, 16733, 22636, 353, 1251, 7583, 289, 13198, 7341, 5613, 18 ]
[ 31224, 30, 33929, 1162, 39805, 8992, 92, 461, 49, 4166, 787, 8123, 478, 18306, 272, 470, 2303, 1505, 31294, 5115, 478, 45295, 6599, 17, 21, 861, 1367, 803, 282, 9937, 2815, 15689, 40656, 680, 1767, 3720, 10674, 669, 2106, 18, 478, 6039, 12520, 16, 961, 898, 12299, 8992, 92, 461, 1059, 18114, 3838, 75, 633, 37040, 4526, 289, 961, 4419, 656, 726, 33407, 1166, 16, 6268, 887, 16, 510, 2815, 26363, 18, 510, 23440, 7059, 2241, 17, 9165, 1347, 510, 290, 23462, 47089, 22240, 478, 45295, 6599, 17, 21, 470, 282, 11446, 478, 37075, 470, 309, 16901, 4190, 861, 31517, 10674, 669, 2106, 322, 8566, 18, 478, 45295, 6599, 17, 21, 470, 40720, 309, 4190, 11418, 290, 13651, 6340, 473, 10800, 672, 934, 8992, 92, 461, 1623, 2204, 2610, 5115, 289, 23414, 282, 1169, 2555, 17, 45900, 416, 27845, 18, 15924, 8379, 10774, 1007, 1251, 29022, 715, 1638, 1006, 83, 473, 3161, 21327, 17615, 680, 1621, 50, 43, 39, 473, 2932, 18314, 289, 478, 28828, 12411, 470, 473, 2932, 21956, 4320, 282, 4301, 5115, 282, 5344, 19423, 33412, 10960, 473, 511, 24888, 4851, 21195, 4609, 3236, 282, 2555, 27, 3763, 7833, 934, 515, 898, 23076, 289, 11583, 21195, 8697, 651, 11281, 25, 5096, 34184, 473, 12833, 24507, 16, 1205, 1505, 14924, 478, 37075, 470, 282, 2553, 5538, 14872, 2364, 9469, 5096, 7285, 291, 814, 11819, 314, 627, 413, 19423, 282, 13373, 5537, 40349, 16, 1830, 282, 22792, 722, 2628, 23625, 519, 1533, 443, 3572, 5096, 34184, 282, 1205, 18, 824, 37712, 31498, 3232, 9201, 536, 12233, 309, 18836, 8697, 9298, 478, 18306, 910, 1029, 29093, 309, 970, 16, 753, 2303, 281, 478, 45295, 8769, 17, 21, 470, 5235, 309, 16356, 8275, 473, 275, 4698, 3678, 309, 12846, 4696, 42199, 7167, 39945, 16400, 814, 8992, 92, 461, 5404, 13187, 2303, 15184, 519, 11612, 289, 17899, 281, 1408, 6599, 778, 2303, 282, 49024, 1602, 17, 34123, 262, 11624, 35374, 9804, 18, 7409, 6029, 541, 2241, 45173, 16, 453, 428, 3960, 13776, 1133, 5995, 7590, 8394, 17719, 289, 2391, 6353, 4803, 17310, 473, 29172, 2636, 7072, 282, 1175, 4896, 2364, 4843, 7181, 349, 3441, 16719, 34184, 16, 38785, 5995, 19799, 3230, 4843, 24342, 814, 740, 10933, 2891, 322, 20800, 8992, 92, 461, 6908, 45885, 496, 16, 36005, 14711, 411, 699, 1254, 5115, 20495, 309, 7955, 14649, 519, 11612, 18, 3782, 37756, 334, 2303, 24925, 11135, 541, 1463, 726, 1033, 4256, 986, 289, 519, 4319, 1326, 322, 7863, 5522, 16616, 18, 365, 11130, 6705, 779, 9541, 17, 24339, 7550, 2777, 1690, 1624, 12099, 17853, 3609, 326, 1242, 17, 48457, 509, 5851, 16, 25960, 478, 18306, 272, 470, 35505, 15045, 27480, 281, 8992, 92, 461, 290, 47089, 2921, 1165, 18, 365, 9937, 10674, 669, 2106, 1109, 16, 374, 6584, 7059, 8992, 92, 461, 639, 25907, 478, 18306, 272, 910, 515, 49611, 746, 8264, 1055, 322, 11642, 18, 478, 29160, 44257, 37105, 5115, 309, 9837, 1119, 322, 1142, 286, 910, 510, 9299, 15689, 18, 25652, 17, 14130, 478, 37075, 470, 289, 8992, 92, 461, 322, 20137, 309, 30403, 478, 32485, 18, 8381, 861, 42550, 22828, 91, 2071, 46043, 9867, 385, 318, 523, 5273, 16, 374, 8992, 92, 461, 6554, 11033, 360, 47089, 22240, 16, 453, 428, 322, 8493, 11840, 697, 3281, 18, 478, 29521, 1724, 746, 309, 18836, 5702, 329, 478, 37075, 910, 281, 4947, 4611, 2303, 314, 627, 447, 27810, 24665, 622, 16, 510, 2548, 12189, 18, 651, 1787, 8992, 92, 461, 478, 45295, 6599, 17, 21, 470, 510, 41827, 1502, 451, 4871, 16, 367, 16213, 2241, 1623, 7389, 27579, 4504, 17788, 37599, 541, 19134, 12647, 44498, 2169, 18, 1598, 4622, 12345, 360, 1360, 18828, 2303, 314, 627, 447, 282, 4301, 478, 45295, 8769, 17, 21, 910, 8992, 92, 461, 24278, 440, 4646, 2712, 26659, 861, 20409, 30506, 459, 1182, 822, 478, 6207, 1748, 300, 691, 470, 17711, 26255, 523, 46039, 12237, 8992, 92, 461, 282, 47089, 22636, 292, 478, 45295, 8769, 17, 21, 470, 282, 4843, 21, 5096, 18, 740, 16, 334, 3163, 17946, 343, 16, 678, 895, 953, 48581, 478, 18306, 272, 470, 322, 349, 2764, 16, 367, 282, 7544, 309, 18828, 282, 1793, 23510, 2466, 22636, 292, 3232, 412, 21316, 18, 478, 18306, 272, 470, 481, 639, 373, 29798, 16, 828, 10691, 2764, 16, 510, 10050, 12189, 18, 651, 889, 1698, 953, 9874, 4497, 31727, 20226, 10699, 31294, 16, 322, 4573, 2303, 1505, 861, 824, 3761, 478, 37075, 910, 14852, 448, 21195, 2241, 309, 39662, 15939, 14872, 17530, 16, 21, 3763, 7833, 18, 385, 318, 523, 18604, 2712, 6591, 8990, 5781, 27560, 49521, 291, 282, 22792, 3437, 17, 32854, 986, 18, 478, 11162, 8557, 20015, 35309, 46224, 587, 4323, 553, 16, 282, 4698, 3678, 541, 45786, 399, 1385, 9206, 910, 510, 41988, 385, 318, 523, 18, 5043, 16, 7897, 16, 13877, 281, 21285, 16, 3828, 478, 46088, 18, 8381, 910, 374, 1963, 12596, 9744, 1472, 290, 8334, 2921, 1165, 8697, 281, 32163, 478, 1659, 686, 418, 17, 22, 470, 473, 275, 1454, 282, 478, 45295, 6599, 17, 21, 11523, 824, 3163, 21961, 478, 32485, 18, 8381, 910, 753, 19132, 20992, 16, 1069, 876, 14958, 5115, 1513, 25329, 2644, 20569, 289, 5995, 16, 289, 1717, 381, 4190, 8992, 92, 461, 9414, 21377, 281, 478, 18306, 304, 861, 365, 478, 7128, 293, 1725, 470, 1038, 12002, 16, 374, 225, 9744, 31680, 687, 290, 18202, 8697, 2992, 40667, 18, 365, 19862, 5854, 1207, 8992, 92, 461, 23051, 16, 374, 1314, 3785, 17, 9165, 755, 360, 3946, 4956, 350, 377, 1000, 478, 45295, 6599, 17, 21, 470, 8643, 281, 478, 18306, 304, 470, 9744, 334, 5083, 13840, 20569, 8697, 281, 5115, 18, 478, 11227, 45205, 416, 12526, 11335, 17384, 27560, 8697, 5115, 478, 45295, 6599, 17, 21, 470, 20006, 16987, 4982, 289, 18088, 5090, 20569, 371, 23482, 9246, 10241, 281, 45885, 496, 910, 510, 4266, 282, 8992, 92, 461, 18, 11040, 10283, 11738, 282, 2241, 322, 6442, 16, 36389, 309, 7785, 4846, 20362, 18, 2, 1, 87, 1456, 81, 2448, 30, 33121, 2776, 297, 2506, 567, 2992, 445, 9410, 17060, 11918, 478, 822, 333, 2025, 910, 45110, 309, 12376, 39061, 282, 4784, 349, 15656, 18, 7075, 262, 13764, 334, 17, 6093, 14872, 5841, 6951, 478, 6308, 780, 10589, 291, 861, 31224, 30, 677, 10882, 12665, 2511, 17, 295, 11918, 351, 9589, 478, 822, 333, 441, 861, 1032, 10176, 17, 32592, 3606, 23079, 9659, 13204 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31224, 30, 33929, 1162, 39805, 8992, 92, 461, 49, 4166, 787, 8123, 478, 18306, 272, 470, 2303, 1505, 31294, 5115, 478, 45295, 6599, 17, 21, 861, 1367, 803, 282, 9937, 2815, 15689, 40656, 680, 1767, 3720, 10674, 669, 2106, 18, 478, 6039, 12520, 16, 961, 898, 12299, 8992, 92, 461, 1059, 18114, 3838, 75, 633, 37040, 4526, 289, 961, 4419, 656, 726, 33407, 1166, 16, 6268, 887, 16, 510, 2815, 26363, 18, 510, 23440, 7059, 2241, 17, 9165, 1347, 510, 290, 23462, 47089, 22240, 478, 45295, 6599, 17, 21, 470, 282, 11446, 478, 37075, 470, 309, 16901, 4190, 861, 31517, 10674, 669, 2106, 322, 8566, 18, 478, 45295, 6599, 17, 21, 470, 40720, 309, 4190, 11418, 290, 13651, 6340, 473, 10800, 672, 934, 8992, 92, 461, 1623, 2204, 2610, 5115, 289, 23414, 282, 1169, 2555, 17, 45900, 416, 27845, 18, 15924, 8379, 10774, 1007, 1251, 29022, 715, 1638, 1006, 83, 473, 3161, 21327, 17615, 680, 1621, 50, 43, 39, 473, 2932, 18314, 289, 478, 28828, 12411, 470, 473, 2932, 21956, 4320, 282, 4301, 5115, 282, 5344, 19423, 33412, 10960, 473, 511, 24888, 4851, 21195, 4609, 3236, 282, 2555, 27, 3763, 7833, 934, 515, 898, 23076, 289, 11583, 21195, 8697, 651, 11281, 25, 5096, 34184, 473, 12833, 24507, 16, 1205, 1505, 14924, 478, 37075, 470, 282, 2553, 5538, 14872, 2364, 9469, 5096, 7285, 291, 814, 11819, 314, 627, 413, 19423, 282, 13373, 5537, 40349, 16, 1830, 282, 22792, 722, 2628, 23625, 519, 1533, 443, 3572, 5096, 34184, 282, 1205, 18, 824, 37712, 31498, 3232, 9201, 536, 12233, 309, 18836, 8697, 9298, 478, 18306, 910, 1029, 29093, 309, 970, 16, 753, 2303, 281, 478, 45295, 8769, 17, 21, 470, 5235, 309, 16356, 8275, 473, 275, 4698, 3678, 309, 12846, 4696, 42199, 7167, 39945, 16400, 814, 8992, 92, 461, 5404, 13187, 2303, 15184, 519, 11612, 289, 17899, 281, 1408, 6599, 778, 2303, 282, 49024, 1602, 17, 34123, 262, 11624, 35374, 9804, 18, 7409, 6029, 541, 2241, 45173, 16, 453, 428, 3960, 13776, 1133, 5995, 7590, 8394, 17719, 289, 2391, 6353, 4803, 17310, 473, 29172, 2636, 7072, 282, 1175, 4896, 2364, 4843, 7181, 349, 3441, 16719, 34184, 16, 38785, 5995, 19799, 3230, 4843, 24342, 814, 740, 10933, 2891, 322, 20800, 8992, 92, 461, 6908, 45885, 496, 16, 36005, 14711, 411, 699, 1254, 5115, 20495, 309, 7955, 14649, 519, 11612, 18, 3782, 37756, 334, 2303, 24925, 11135, 541, 1463, 726, 1033, 4256, 986, 289, 519, 4319, 1326, 322, 7863, 5522, 16616, 18, 365, 11130, 6705, 779, 9541, 17, 24339, 7550, 2777, 1690, 1624, 12099, 17853, 3609, 326, 1242, 17, 48457, 509, 5851, 16, 25960, 478, 18306, 272, 470, 35505, 15045, 27480, 281, 8992, 92, 461, 290, 47089, 2921, 1165, 18, 365, 9937, 10674, 669, 2106, 1109, 16, 374, 6584, 7059, 8992, 92, 461, 639, 25907, 478, 18306, 272, 910, 515, 49611, 746, 8264, 1055, 322, 11642, 18, 478, 29160, 44257, 37105, 5115, 309, 9837, 1119, 322, 1142, 286, 910, 510, 9299, 15689, 18, 25652, 17, 14130, 478, 37075, 470, 289, 8992, 92, 461, 322, 20137, 309, 30403, 478, 32485, 18, 8381, 861, 42550, 22828, 91, 2071, 46043, 9867, 385, 318, 523, 5273, 16, 374, 8992, 92, 461, 6554, 11033, 360, 47089, 22240, 16, 453, 428, 322, 8493, 11840, 697, 3281, 18, 478, 29521, 1724, 746, 309, 18836, 5702, 329, 478, 37075, 910, 281, 4947, 4611, 2303, 314, 627, 447, 27810, 24665, 622, 16, 510, 2548, 12189, 18, 651, 1787, 8992, 92, 461, 478, 45295, 6599, 17, 21, 470, 510, 41827, 1502, 451, 4871, 16, 367, 16213, 2241, 1623, 7389, 27579, 4504, 17788, 37599, 541, 19134, 12647, 44498, 2169, 18, 1598, 4622, 12345, 360, 1360, 18828, 2303, 314, 627, 447, 282, 4301, 478, 45295, 8769, 17, 21, 910, 8992, 92, 461, 24278, 440, 4646, 2712, 26659, 861, 20409, 30506, 459, 1182, 822, 478, 6207, 1748, 300, 691, 470, 17711, 26255, 523, 46039, 12237, 8992, 92, 461, 282, 47089, 22636, 292, 478, 45295, 8769, 17, 21, 470, 282, 4843, 21, 5096, 18, 740, 16, 334, 3163, 17946, 343, 16, 678, 895, 953, 48581, 478, 18306, 272, 470, 322, 349, 2764, 16, 367, 282, 7544, 309, 18828, 282, 1793, 23510, 2466, 22636, 292, 3232, 412, 21316, 18, 478, 18306, 272, 470, 481, 639, 373, 29798, 16, 828, 10691, 2764, 16, 510, 10050, 12189, 18, 651, 889, 1698, 953, 9874, 4497, 31727, 20226, 10699, 31294, 16, 322, 4573, 2303, 1505, 861, 824, 3761, 478, 37075, 910, 14852, 448, 21195, 2241, 309, 39662, 15939, 14872, 17530, 16, 21, 3763, 7833, 18, 385, 318, 523, 18604, 2712, 6591, 8990, 5781, 27560, 49521, 291, 282, 22792, 3437, 17, 32854, 986, 18, 478, 11162, 8557, 20015, 35309, 46224, 587, 4323, 553, 16, 282, 4698, 3678, 541, 45786, 399, 1385, 9206, 910, 510, 41988, 385, 318, 523, 18, 5043, 16, 7897, 16, 13877, 281, 21285, 16, 3828, 478, 46088, 18, 8381, 910, 374, 1963, 12596, 9744, 1472, 290, 8334, 2921, 1165, 8697, 281, 32163, 478, 1659, 686, 418, 17, 22, 470, 473, 275, 1454, 282, 478, 45295, 6599, 17, 21, 11523, 824, 3163, 21961, 478, 32485, 18, 8381, 910, 753, 19132, 20992, 16, 1069, 876, 14958, 5115, 1513, 25329, 2644, 20569, 289, 5995, 16, 289, 1717, 381, 4190, 8992, 92, 461, 9414, 21377, 281, 478, 18306, 304, 861, 365, 478, 7128, 293, 1725, 470, 1038, 12002, 16, 374, 225, 9744, 31680, 687, 290, 18202, 8697, 2992, 40667, 18, 365, 19862, 5854, 1207, 8992, 92, 461, 23051, 16, 374, 1314, 3785, 17, 9165, 755, 360, 3946, 4956, 350, 377, 1000, 478, 45295, 6599, 17, 21, 470, 8643, 281, 478, 18306, 304, 470, 9744, 334, 5083, 13840, 20569, 8697, 281, 5115, 18, 478, 11227, 45205, 416, 12526, 11335, 17384, 27560, 8697, 5115, 478, 45295, 6599, 17, 21, 470, 20006, 16987, 4982, 289, 18088, 5090, 20569, 371, 23482, 9246, 10241, 281, 45885, 496, 910, 510, 4266, 282, 8992, 92, 461, 18, 11040, 10283, 11738, 282, 2241, 322, 6442, 16, 36389, 309, 7785, 4846, 20362, 18, 2, 1, 87, 1456, 81, 2448, 30, 33121, 2776, 297, 2506, 567, 2992, 445, 9410, 17060, 11918, 478, 822, 333, 2025, 910, 45110, 309, 12376, 39061, 282, 4784, 349, 15656, 18, 7075, 262, 13764, 334, 17, 6093, 14872, 5841, 6951, 478, 6308, 780, 10589, 291, 861, 31224, 30, 677, 10882, 12665, 2511, 17, 295, 11918, 351, 9589, 478, 822, 333, 441, 861, 1032, 10176, 17, 32592, 3606, 23079, 9659, 13204 ]
[ 953, 6993, 21279, 18, 10512, 266, 16423, 685, 6517, 928, 309, 1033, 10188, 16, 828, 3757, 16, 808, 18, 3546, 2061, 315, 481, 281, 453, 24941, 478, 21805, 363, 19751, 323, 470, 510, 8459, 10715, 547, 282, 1694, 298, 6367, 478, 822, 333, 2025, 861, 478, 822, 333, 441, 470, 17, 11276, 18, 9636, 1999, 3047, 18, 2511, 17, 295, 11918, 430, 18, 4944, 2776, 297, 2506, 6166, 6308, 780, 10589, 9979, 510, 21964, 30, 8760, 30, 3161, 18, 491, 18, 1258, 665, 269, 744, 27960, 6166, 732, 546, 405, 9979, 4668, 22, 30, 8725, 816, 18, 14336, 301, 30301, 4790, 267, 6166, 789, 766, 287, 9979, 4668, 28, 30, 8979, 1061, 18, 28635, 21335, 6166, 6308, 780, 10589, 9979, 4668, 3940, 30, 7675, 1409, 18, 7070, 1155, 2101, 33097, 6166, 6308, 780, 10589, 9979, 4668, 6091, 30, 8174, 478, 822, 333, 441, 470, 17, 11276, 18, 9636, 1999, 3047, 18, 33728, 1011, 2511, 30386, 430, 18, 28635, 21335, 6166, 6308, 780, 10589, 9979, 651, 10608, 30, 7536, 30, 8492, 491, 18, 4944, 2776, 297, 2506, 6166, 6308, 780, 10589, 9979, 4668, 8066, 30, 5493, 816, 18, 7070, 1155, 2101, 33097, 6166, 6308, 780, 10589, 9979, 4668, 5041, 30, 6462, 1032, 18, 1258, 665, 269, 744, 27960, 6166, 732, 546, 405, 9979, 4668, 6427, 30, 8771, 1061, 18, 19432, 20946, 318, 6166, 789, 766, 287, 9979, 4668, 21, 30, 8979, 30, 8914, 1286, 18, 14336, 301, 30301, 4790, 267, 6166, 789, 766, 287, 9979, 4668, 21, 30, 1618, 30, 9247, 365, 18554, 481, 6411, 478, 552, 1496, 451, 6978, 861, 817, 28817, 309, 13078, 43156, 289, 49279, 25146, 6229, 18, 24343, 5432, 481, 1139, 651, 26085, 16, 334, 1754, 20468, 4041, 9659, 16, 18383, 2654, 1251, 24014, 8891, 406, 7403, 8676, 289, 6164, 761, 7112, 845, 439, 1243, 2707, 18, 22271, 40996, 31148, 2812, 701, 309, 7949, 16, 785, 19911, 414, 23761, 7096, 1262, 18, 2112, 7466, 5540, 12480, 42332, 22228, 25534, 448, 5217, 16, 961, 34463, 7556, 29086, 18, 2046, 6335, 11048, 23640, 20215, 1453, 34174, 12052, 16, 31272, 30468, 475, 16260, 290, 26006, 2800, 18, 1303, 2904, 5781, 25467, 639, 25194, 2175, 371, 27168, 294, 7932, 47242, 16, 988, 2874, 478, 6308, 780, 10589, 276, 470, 6795, 35412, 309, 4289, 12023, 2223, 18, 459, 2845, 21444, 11918, 2031, 811, 541, 1657, 604, 291, 1275, 428, 2955, 1882, 18, 7409, 11918, 9410, 289, 23912, 282, 24087, 17060, 4944, 2776, 297, 2506, 18, 385, 16511, 21964, 30, 8760, 30, 3161, 492, 309, 1421, 7130, 29575, 364, 1258, 665, 287, 744, 5675, 274, 411, 478, 732, 546, 405, 910, 1029, 4426, 6958, 9885, 42213, 21175, 24908, 294, 7070, 287, 552, 2101, 476, 14457, 16, 1029, 282, 1423, 3678, 17741, 309, 27691, 39061, 282, 4784, 349, 15656, 18, 740, 481, 322, 16645, 16, 3387, 309, 12376, 10839, 7479, 2776, 297, 2506, 18, 439, 25941, 1519, 282, 2930, 7468, 34434, 9280, 28635, 21335, 1624, 1029, 49272, 38814, 4850, 416, 31455, 16, 1586, 3147, 5828, 13870, 282, 2630, 281, 1033, 828, 2470, 267, 2509, 37751, 1195, 4127, 1757, 8972, 496, 18, 12725, 334, 36880, 19683, 4600, 478, 822, 333, 2025, 910, 282, 8151, 2299, 3888, 3860, 18795, 329, 2101, 476, 3583, 1624, 5076, 3641, 2396, 16786, 21335, 16, 282, 6031, 31769, 2845, 1116, 309, 2511, 17, 277, 10649, 18, 478, 822, 333, 441, 470, 17, 11276, 18, 365, 6240, 2265, 1157, 18, 33728, 1011, 2511, 30386, 430, 18, 41855, 378, 781, 616, 12887, 6166, 4649, 8473, 9979, 651, 8653, 30, 8400, 30, 9348, 491, 18, 1258, 15591, 388, 744, 10827, 320, 6166, 789, 323, 4970, 9979, 4668, 8400, 30, 8081, 816, 18, 17397, 3568, 46193, 6166, 4649, 8473, 9979, 4668, 21, 30, 6894, 30, 8914, 1032, 18, 768, 6689, 640, 307, 29173, 6166, 4649, 8473, 9979, 4668, 21, 30, 5041, 30, 6475, 2667, 22607, 669, 25678, 5702, 1223, 1272, 16423, 289, 478, 6308, 780, 10589, 470, 4726, 15279, 2048, 442, 305, 17, 1198, 273, 18, 5043, 16, 744, 27960, 322, 25943, 1123, 651, 360, 2101, 476, 3583, 505, 2928, 2582, 2619, 4256, 1879, 16, 374, 282, 4190, 12549, 1734, 25678, 322, 895, 11505, 21729, 37751, 18, 981, 289, 19432, 20946, 318, 281, 14336, 301, 304, 30301, 4790, 3032, 322, 25943, 34827, 651, 7305, 3244, 478, 789, 766, 394, 470, 34324, 309, 24048, 748, 764, 322, 16157, 18, 365, 16354, 33230, 1051, 309, 27691, 10839, 282, 2930, 7468, 34434, 5264, 17397, 3568, 46193, 18, 640, 10649, 492, 1559, 2845, 1116, 16, 8337, 360, 15465, 309, 7109, 1879, 18, 365, 381, 2529, 349, 15656, 334, 17, 6093, 11623, 25941, 2712, 41855, 378, 781, 616, 12887, 1624, 21384, 626, 1815, 1258, 15591, 831, 744, 10827, 665, 1033, 828, 309, 4317, 1879, 18, 365, 349, 15656, 8289, 331, 11972, 1388, 475, 5416, 2944, 18, 9840, 397, 7907, 1368, 10573, 309, 478, 1358, 3462, 263, 470, 41863, 4453, 7276, 1484, 334, 10434, 31300, 46023, 31405, 962, 1715, 1272, 4177, 18, 9570, 329, 23761, 7096, 1356, 13521, 10222, 519, 8508, 30946, 30, 7732, 16329, 343, 2901, 21749, 15435, 298, 16, 2850, 440, 1602, 30301, 611, 2124, 3430, 660, 16, 12758, 286, 727, 1394, 264, 2551, 17833, 282, 1760, 17, 25822, 547, 2126, 9419, 18, 11333, 6034, 290, 478, 822, 3174, 298, 470, 942, 5298, 309, 7759, 4347, 15744, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 29102, 11540, 12681, 36035, 18, 35040, 1952, 16, 41273, 1527, 4770, 778, 13417, 289, 36992, 32806, 16, 19645, 290, 3819, 4513, 4830, 37093, 554, 457, 1000, 307, 5649, 298, 16, 785, 17, 299, 6042, 1081, 8362, 294, 20854, 16, 289, 30764, 22212, 7920, 15974, 20854, 289, 48511, 18, 31224, 30, 6706, 2830, 3732, 29467, 282, 29102, 16, 322, 1210, 11100, 8421, 294, 23449, 42177, 49674, 1212, 23940, 16, 10243, 282, 11946, 29745, 519, 36460, 18, 2080, 6545, 349, 5472, 31484, 9637, 16, 2673, 1353, 345, 6728, 282, 39441, 547, 19356, 1241, 345, 14169, 360, 10208, 2553, 504, 395, 32606, 18, 9967, 27692, 12559, 309, 20997, 10375, 5194, 3457, 583, 1332, 18, 31186, 2891, 2553, 12177, 20966, 17077, 478, 5059, 15370, 304, 470, 510, 381, 803, 6443, 282, 15797, 4770, 2553, 37093, 554, 457, 1000, 307, 5649, 298, 18, 2320, 1694, 8297, 414, 289, 5239, 17, 15890, 411, 6684, 18, 478, 4441, 1379, 4770, 16, 515, 1513, 16, 753, 492, 7000, 706, 281, 19744, 910, 510, 2815, 28708, 15275, 12877, 73, 1176 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 953, 6993, 21279, 18, 10512, 266, 16423, 685, 6517, 928, 309, 1033, 10188, 16, 828, 3757, 16, 808, 18, 3546, 2061, 315, 481, 281, 453, 24941, 478, 21805, 363, 19751, 323, 470, 510, 8459, 10715, 547, 282, 1694, 298, 6367, 478, 822, 333, 2025, 861, 478, 822, 333, 441, 470, 17, 11276, 18, 9636, 1999, 3047, 18, 2511, 17, 295, 11918, 430, 18, 4944, 2776, 297, 2506, 6166, 6308, 780, 10589, 9979, 510, 21964, 30, 8760, 30, 3161, 18, 491, 18, 1258, 665, 269, 744, 27960, 6166, 732, 546, 405, 9979, 4668, 22, 30, 8725, 816, 18, 14336, 301, 30301, 4790, 267, 6166, 789, 766, 287, 9979, 4668, 28, 30, 8979, 1061, 18, 28635, 21335, 6166, 6308, 780, 10589, 9979, 4668, 3940, 30, 7675, 1409, 18, 7070, 1155, 2101, 33097, 6166, 6308, 780, 10589, 9979, 4668, 6091, 30, 8174, 478, 822, 333, 441, 470, 17, 11276, 18, 9636, 1999, 3047, 18, 33728, 1011, 2511, 30386, 430, 18, 28635, 21335, 6166, 6308, 780, 10589, 9979, 651, 10608, 30, 7536, 30, 8492, 491, 18, 4944, 2776, 297, 2506, 6166, 6308, 780, 10589, 9979, 4668, 8066, 30, 5493, 816, 18, 7070, 1155, 2101, 33097, 6166, 6308, 780, 10589, 9979, 4668, 5041, 30, 6462, 1032, 18, 1258, 665, 269, 744, 27960, 6166, 732, 546, 405, 9979, 4668, 6427, 30, 8771, 1061, 18, 19432, 20946, 318, 6166, 789, 766, 287, 9979, 4668, 21, 30, 8979, 30, 8914, 1286, 18, 14336, 301, 30301, 4790, 267, 6166, 789, 766, 287, 9979, 4668, 21, 30, 1618, 30, 9247, 365, 18554, 481, 6411, 478, 552, 1496, 451, 6978, 861, 817, 28817, 309, 13078, 43156, 289, 49279, 25146, 6229, 18, 24343, 5432, 481, 1139, 651, 26085, 16, 334, 1754, 20468, 4041, 9659, 16, 18383, 2654, 1251, 24014, 8891, 406, 7403, 8676, 289, 6164, 761, 7112, 845, 439, 1243, 2707, 18, 22271, 40996, 31148, 2812, 701, 309, 7949, 16, 785, 19911, 414, 23761, 7096, 1262, 18, 2112, 7466, 5540, 12480, 42332, 22228, 25534, 448, 5217, 16, 961, 34463, 7556, 29086, 18, 2046, 6335, 11048, 23640, 20215, 1453, 34174, 12052, 16, 31272, 30468, 475, 16260, 290, 26006, 2800, 18, 1303, 2904, 5781, 25467, 639, 25194, 2175, 371, 27168, 294, 7932, 47242, 16, 988, 2874, 478, 6308, 780, 10589, 276, 470, 6795, 35412, 309, 4289, 12023, 2223, 18, 459, 2845, 21444, 11918, 2031, 811, 541, 1657, 604, 291, 1275, 428, 2955, 1882, 18, 7409, 11918, 9410, 289, 23912, 282, 24087, 17060, 4944, 2776, 297, 2506, 18, 385, 16511, 21964, 30, 8760, 30, 3161, 492, 309, 1421, 7130, 29575, 364, 1258, 665, 287, 744, 5675, 274, 411, 478, 732, 546, 405, 910, 1029, 4426, 6958, 9885, 42213, 21175, 24908, 294, 7070, 287, 552, 2101, 476, 14457, 16, 1029, 282, 1423, 3678, 17741, 309, 27691, 39061, 282, 4784, 349, 15656, 18, 740, 481, 322, 16645, 16, 3387, 309, 12376, 10839, 7479, 2776, 297, 2506, 18, 439, 25941, 1519, 282, 2930, 7468, 34434, 9280, 28635, 21335, 1624, 1029, 49272, 38814, 4850, 416, 31455, 16, 1586, 3147, 5828, 13870, 282, 2630, 281, 1033, 828, 2470, 267, 2509, 37751, 1195, 4127, 1757, 8972, 496, 18, 12725, 334, 36880, 19683, 4600, 478, 822, 333, 2025, 910, 282, 8151, 2299, 3888, 3860, 18795, 329, 2101, 476, 3583, 1624, 5076, 3641, 2396, 16786, 21335, 16, 282, 6031, 31769, 2845, 1116, 309, 2511, 17, 277, 10649, 18, 478, 822, 333, 441, 470, 17, 11276, 18, 365, 6240, 2265, 1157, 18, 33728, 1011, 2511, 30386, 430, 18, 41855, 378, 781, 616, 12887, 6166, 4649, 8473, 9979, 651, 8653, 30, 8400, 30, 9348, 491, 18, 1258, 15591, 388, 744, 10827, 320, 6166, 789, 323, 4970, 9979, 4668, 8400, 30, 8081, 816, 18, 17397, 3568, 46193, 6166, 4649, 8473, 9979, 4668, 21, 30, 6894, 30, 8914, 1032, 18, 768, 6689, 640, 307, 29173, 6166, 4649, 8473, 9979, 4668, 21, 30, 5041, 30, 6475, 2667, 22607, 669, 25678, 5702, 1223, 1272, 16423, 289, 478, 6308, 780, 10589, 470, 4726, 15279, 2048, 442, 305, 17, 1198, 273, 18, 5043, 16, 744, 27960, 322, 25943, 1123, 651, 360, 2101, 476, 3583, 505, 2928, 2582, 2619, 4256, 1879, 16, 374, 282, 4190, 12549, 1734, 25678, 322, 895, 11505, 21729, 37751, 18, 981, 289, 19432, 20946, 318, 281, 14336, 301, 304, 30301, 4790, 3032, 322, 25943, 34827, 651, 7305, 3244, 478, 789, 766, 394, 470, 34324, 309, 24048, 748, 764, 322, 16157, 18, 365, 16354, 33230, 1051, 309, 27691, 10839, 282, 2930, 7468, 34434, 5264, 17397, 3568, 46193, 18, 640, 10649, 492, 1559, 2845, 1116, 16, 8337, 360, 15465, 309, 7109, 1879, 18, 365, 381, 2529, 349, 15656, 334, 17, 6093, 11623, 25941, 2712, 41855, 378, 781, 616, 12887, 1624, 21384, 626, 1815, 1258, 15591, 831, 744, 10827, 665, 1033, 828, 309, 4317, 1879, 18, 365, 349, 15656, 8289, 331, 11972, 1388, 475, 5416, 2944, 18, 9840, 397, 7907, 1368, 10573, 309, 478, 1358, 3462, 263, 470, 41863, 4453, 7276, 1484, 334, 10434, 31300, 46023, 31405, 962, 1715, 1272, 4177, 18, 9570, 329, 23761, 7096, 1356, 13521, 10222, 519, 8508, 30946, 30, 7732, 16329, 343, 2901, 21749, 15435, 298, 16, 2850, 440, 1602, 30301, 611, 2124, 3430, 660, 16, 12758, 286, 727, 1394, 264, 2551, 17833, 282, 1760, 17, 25822, 547, 2126, 9419, 18, 11333, 6034, 290, 478, 822, 3174, 298, 470, 942, 5298, 309, 7759, 4347, 15744, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 29102, 11540, 12681, 36035, 18, 35040, 1952, 16, 41273, 1527, 4770, 778, 13417, 289, 36992, 32806, 16, 19645, 290, 3819, 4513, 4830, 37093, 554, 457, 1000, 307, 5649, 298, 16, 785, 17, 299, 6042, 1081, 8362, 294, 20854, 16, 289, 30764, 22212, 7920, 15974, 20854, 289, 48511, 18, 31224, 30, 6706, 2830, 3732, 29467, 282, 29102, 16, 322, 1210, 11100, 8421, 294, 23449, 42177, 49674, 1212, 23940, 16, 10243, 282, 11946, 29745, 519, 36460, 18, 2080, 6545, 349, 5472, 31484, 9637, 16, 2673, 1353, 345, 6728, 282, 39441, 547, 19356, 1241, 345, 14169, 360, 10208, 2553, 504, 395, 32606, 18, 9967, 27692, 12559, 309, 20997, 10375, 5194, 3457, 583, 1332, 18, 31186, 2891, 2553, 12177, 20966, 17077, 478, 5059, 15370, 304, 470, 510, 381, 803, 6443, 282, 15797, 4770, 2553, 37093, 554, 457, 1000, 307, 5649, 298, 18, 2320, 1694, 8297, 414, 289, 5239, 17, 15890, 411, 6684, 18, 478, 4441, 1379, 4770, 16, 515, 1513, 16, 753, 492, 7000, 706, 281, 19744, 910, 510, 2815, 28708, 15275, 12877, 73, 1176 ]
[ 411, 24537, 1051, 3403, 5342, 41428, 488, 3997, 9126, 354, 18, 2046, 8777, 11871, 2206, 3402, 9637, 322, 3953, 9528, 18, 5407, 1067, 3626, 7760, 11226, 17, 16862, 13760, 7904, 26643, 906, 4073, 6521, 39306, 4220, 2364, 3703, 18, 646, 473, 23, 18, 646, 334, 35722, 1612, 814, 13268, 1011, 978, 1511, 14768, 624, 2458, 27604, 16, 374, 9637, 1215, 17, 10148, 2125, 2048, 31373, 8348, 290, 4073, 464, 2891, 16, 2686, 978, 3711, 5837, 18101, 5270, 3139, 18, 1303, 481, 808, 32806, 27997, 18964, 35070, 308, 11831, 933, 17525, 22772, 296, 1476, 18, 824, 3761, 1511, 14768, 366, 16, 282, 31116, 452, 37080, 39198, 1157, 308, 11831, 680, 4257, 8465, 322, 16831, 16, 411, 1110, 16, 1085, 12307, 5482, 2001, 16, 5906, 510, 11707, 12559, 16, 687, 26706, 2508, 309, 18022, 9324, 18, 3492, 282, 11171, 37887, 6730, 282, 11147, 29102, 16, 2438, 6218, 687, 294, 35047, 3303, 486, 18, 1591, 3626, 39429, 354, 16, 1202, 34266, 965, 7824, 3276, 11285, 304, 15974, 20854, 289, 48511, 16, 19352, 4830, 5649, 298, 3511, 1163, 3250, 289, 38563, 20749, 1510, 4193, 294, 15316, 20854, 18, 385, 2733, 29582, 12679, 334, 7346, 7964, 825, 39306, 4220, 1403, 14073, 48375, 12117, 5854, 39429, 548, 12891, 37093, 554, 40596, 298, 18, 817, 2815, 16, 374, 9637, 567, 7410, 281, 30170, 37093, 554, 6258, 361, 478, 42025, 925, 6398, 19514, 47523, 1147, 49528, 861, 6176, 3595, 42036, 39429, 354, 19352, 41462, 5056, 16, 367, 8183, 35189, 510, 14640, 8085, 18, 40596, 298, 1038, 10218, 16, 374, 5649, 298, 1033, 322, 1623, 18813, 308, 11831, 718, 4000, 18, 9967, 1011, 978, 334, 48375, 12679, 583, 6258, 361, 16, 8693, 1779, 290, 36665, 519, 26724, 5415, 19315, 41924, 718, 4177, 282, 504, 395, 32606, 281, 32977, 519, 7518, 3139, 4079, 18, 40596, 298, 10218, 16, 374, 9637, 478, 3788, 48355, 25790, 14202, 47845, 5494, 470, 289, 32558, 7064, 15185, 27393, 18, 1937, 481, 840, 11742, 16, 12681, 322, 15135, 18, 28462, 16096, 742, 5649, 298, 453, 289, 12175, 282, 10507, 1045, 16, 3819, 21416, 18875, 1347, 25330, 272, 20513, 4642, 16, 367, 282, 11671, 1045, 3091, 9935, 31252, 11031, 16, 309, 1639, 21035, 8851, 290, 1970, 778, 26363, 47030, 608, 3852, 40596, 298, 18, 999, 1878, 8694, 31425, 478, 3578, 3685, 20854, 910, 5649, 298, 5264, 294, 2891, 282, 8455, 1045, 7340, 12096, 6929, 16, 48253, 11031, 18, 640, 4518, 4238, 282, 29102, 898, 3029, 4633, 4770, 1133, 11031, 16, 282, 1639, 360, 1878, 8694, 1272, 4256, 1123, 1608, 12783, 5649, 298, 726, 7099, 3455, 322, 757, 334, 14371, 18, 478, 24735, 1943, 953, 28352, 37093, 554, 457, 1000, 307, 5649, 298, 349, 502, 16, 374, 492, 3508, 7146, 3059, 282, 2343, 1728, 6740, 12783, 16, 367, 322, 428, 505, 281, 1414, 17314, 778, 30961, 910, 510, 6443, 309, 19616, 24821, 18, 3758, 2343, 3750, 12189, 334, 21646, 680, 20854, 6211, 32401, 39929, 18, 2112, 25291, 308, 11831, 718, 9888, 310, 665, 37733, 1621, 54, 26242, 834, 549, 5649, 298, 4770, 1162, 9948, 4879, 16, 453, 22168, 18243, 2108, 548, 16, 282, 1851, 17, 299, 2083, 37194, 8794, 26643, 16, 515, 5957, 898, 8251, 15844, 541, 29978, 10107, 39496, 6677, 4000, 18, 2046, 745, 35849, 34894, 15481, 13403, 2854, 18, 985, 38802, 1511, 14768, 624, 477, 1280, 37829, 16, 294, 18328, 282, 5214, 504, 395, 32606, 898, 47166, 12625, 448, 32887, 382, 16, 515, 294, 5963, 40119, 9913, 332, 18, 1591, 808, 45422, 4770, 5649, 298, 8794, 1728, 16787, 322, 652, 24773, 16, 3110, 42130, 52, 477, 7755, 309, 505, 13026, 1378, 18, 20346, 45422, 39496, 1176, 411, 14886, 308, 11831, 718, 1524, 14538, 2815, 16, 374, 4770, 3164, 282, 478, 10004, 2378, 547, 2468, 910, 5923, 28708, 18419, 18, 17100, 1687, 46199, 5649, 298, 10480, 16, 453, 575, 428, 289, 9457, 1888, 14314, 4000, 18, 824, 13460, 3761, 16, 19336, 3225, 44956, 4335, 25545, 4436, 14886, 16, 282, 970, 2875, 9362, 7796, 1552, 769, 748, 355, 1528, 6606, 636, 274, 1789, 265, 877, 18, 8281, 24977, 541, 35001, 2756, 22776, 622, 6937, 5649, 298, 9193, 17909, 381, 9152, 488, 15273, 16, 4154, 979, 289, 3094, 13402, 2685, 4964, 18133, 16, 961, 309, 15934, 2553, 12596, 44121, 553, 1279, 1613, 10521, 297, 718, 5940, 2198, 36303, 289, 15581, 29676, 21456, 41684, 16, 16258, 11940, 281, 478, 13945, 17, 6207, 578, 323, 861, 385, 16838, 3612, 308, 11831, 1162, 10169, 8643, 6053, 1833, 1279, 4335, 16521, 5910, 16, 961, 7556, 48159, 5808, 11214, 411, 15165, 626, 9037, 282, 30227, 45559, 33657, 18, 7042, 1613, 10521, 297, 1133, 15499, 1157, 16, 14930, 6519, 282, 520, 14054, 680, 14561, 7423, 309, 5939, 6420, 395, 2025, 22158, 347, 791, 1624, 34339, 670, 294, 7824, 9885, 36400, 349, 26147, 27538, 342, 347, 473, 1243, 7788, 1421, 30953, 5791, 29102, 510, 5971, 262, 16, 403, 24773, 289, 10648, 17577, 552, 16, 961, 2723, 1007, 36733, 3317, 17, 552, 10521, 4455, 934, 670, 294, 1033, 13095, 1809, 29676, 16458, 9251, 13770, 478, 5853, 10769, 1607, 17, 822, 375, 910, 1586, 349, 5017, 2508, 18116, 8423, 424, 6457, 13854, 9603, 388, 292, 368, 16, 50223, 300, 341, 289, 457, 375, 431, 342, 2274, 309, 13078, 281, 42233, 620, 18, 1681, 9603, 388, 292, 9960, 308, 11831, 1162, 10169, 2498, 14851, 45366, 5552, 13270, 30, 23659, 391, 14112, 618, 9537, 282, 5192, 289, 2191, 3457, 2364, 594, 5887, 2713, 2209, 4257, 18, 9873, 978, 309, 21498, 547, 15934, 2553, 8702, 35412, 7557, 670, 282, 21992, 281, 391, 14112, 618, 289, 29676, 30809, 17567, 16, 32346, 39996, 965, 281, 478, 13945, 17, 6207, 578, 323, 470, 282, 7338, 19276, 718, 9020, 312, 807, 861, 478, 563, 813, 726, 3215, 1335, 4096, 309, 15934, 16, 510, 15875, 16708, 8054, 5810, 1059, 765, 4350, 35540, 21690, 1899, 1019, 2236, 411, 6367, 50100, 31116, 626, 18, 510, 1345, 11843, 29252, 861, 385, 2742, 3750, 282, 29102, 8056, 1293, 19264, 11400, 19762, 16, 282, 1639, 7650, 3455, 8880, 289, 19418, 2673, 1353, 345, 5856, 309, 15934, 5887, 16, 961, 24782, 9193, 697, 24074, 7003, 448, 2644, 18, 365, 4729, 22587, 29183, 44661, 3227, 17091, 37558, 1134, 1613, 10521, 1798, 16, 367, 1038, 8243, 49488, 289, 2019, 1275, 411, 22286, 33888, 5307, 750, 18, 7255, 539, 25961, 2834, 6191, 360, 39306, 973, 19162, 12128, 1066, 2553, 18, 31325, 14995, 9085, 13465, 10671, 38090, 478, 12014, 937, 294, 2962, 21593, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 411, 24537, 1051, 3403, 5342, 41428, 488, 3997, 9126, 354, 18, 2046, 8777, 11871, 2206, 3402, 9637, 322, 3953, 9528, 18, 5407, 1067, 3626, 7760, 11226, 17, 16862, 13760, 7904, 26643, 906, 4073, 6521, 39306, 4220, 2364, 3703, 18, 646, 473, 23, 18, 646, 334, 35722, 1612, 814, 13268, 1011, 978, 1511, 14768, 624, 2458, 27604, 16, 374, 9637, 1215, 17, 10148, 2125, 2048, 31373, 8348, 290, 4073, 464, 2891, 16, 2686, 978, 3711, 5837, 18101, 5270, 3139, 18, 1303, 481, 808, 32806, 27997, 18964, 35070, 308, 11831, 933, 17525, 22772, 296, 1476, 18, 824, 3761, 1511, 14768, 366, 16, 282, 31116, 452, 37080, 39198, 1157, 308, 11831, 680, 4257, 8465, 322, 16831, 16, 411, 1110, 16, 1085, 12307, 5482, 2001, 16, 5906, 510, 11707, 12559, 16, 687, 26706, 2508, 309, 18022, 9324, 18, 3492, 282, 11171, 37887, 6730, 282, 11147, 29102, 16, 2438, 6218, 687, 294, 35047, 3303, 486, 18, 1591, 3626, 39429, 354, 16, 1202, 34266, 965, 7824, 3276, 11285, 304, 15974, 20854, 289, 48511, 16, 19352, 4830, 5649, 298, 3511, 1163, 3250, 289, 38563, 20749, 1510, 4193, 294, 15316, 20854, 18, 385, 2733, 29582, 12679, 334, 7346, 7964, 825, 39306, 4220, 1403, 14073, 48375, 12117, 5854, 39429, 548, 12891, 37093, 554, 40596, 298, 18, 817, 2815, 16, 374, 9637, 567, 7410, 281, 30170, 37093, 554, 6258, 361, 478, 42025, 925, 6398, 19514, 47523, 1147, 49528, 861, 6176, 3595, 42036, 39429, 354, 19352, 41462, 5056, 16, 367, 8183, 35189, 510, 14640, 8085, 18, 40596, 298, 1038, 10218, 16, 374, 5649, 298, 1033, 322, 1623, 18813, 308, 11831, 718, 4000, 18, 9967, 1011, 978, 334, 48375, 12679, 583, 6258, 361, 16, 8693, 1779, 290, 36665, 519, 26724, 5415, 19315, 41924, 718, 4177, 282, 504, 395, 32606, 281, 32977, 519, 7518, 3139, 4079, 18, 40596, 298, 10218, 16, 374, 9637, 478, 3788, 48355, 25790, 14202, 47845, 5494, 470, 289, 32558, 7064, 15185, 27393, 18, 1937, 481, 840, 11742, 16, 12681, 322, 15135, 18, 28462, 16096, 742, 5649, 298, 453, 289, 12175, 282, 10507, 1045, 16, 3819, 21416, 18875, 1347, 25330, 272, 20513, 4642, 16, 367, 282, 11671, 1045, 3091, 9935, 31252, 11031, 16, 309, 1639, 21035, 8851, 290, 1970, 778, 26363, 47030, 608, 3852, 40596, 298, 18, 999, 1878, 8694, 31425, 478, 3578, 3685, 20854, 910, 5649, 298, 5264, 294, 2891, 282, 8455, 1045, 7340, 12096, 6929, 16, 48253, 11031, 18, 640, 4518, 4238, 282, 29102, 898, 3029, 4633, 4770, 1133, 11031, 16, 282, 1639, 360, 1878, 8694, 1272, 4256, 1123, 1608, 12783, 5649, 298, 726, 7099, 3455, 322, 757, 334, 14371, 18, 478, 24735, 1943, 953, 28352, 37093, 554, 457, 1000, 307, 5649, 298, 349, 502, 16, 374, 492, 3508, 7146, 3059, 282, 2343, 1728, 6740, 12783, 16, 367, 322, 428, 505, 281, 1414, 17314, 778, 30961, 910, 510, 6443, 309, 19616, 24821, 18, 3758, 2343, 3750, 12189, 334, 21646, 680, 20854, 6211, 32401, 39929, 18, 2112, 25291, 308, 11831, 718, 9888, 310, 665, 37733, 1621, 54, 26242, 834, 549, 5649, 298, 4770, 1162, 9948, 4879, 16, 453, 22168, 18243, 2108, 548, 16, 282, 1851, 17, 299, 2083, 37194, 8794, 26643, 16, 515, 5957, 898, 8251, 15844, 541, 29978, 10107, 39496, 6677, 4000, 18, 2046, 745, 35849, 34894, 15481, 13403, 2854, 18, 985, 38802, 1511, 14768, 624, 477, 1280, 37829, 16, 294, 18328, 282, 5214, 504, 395, 32606, 898, 47166, 12625, 448, 32887, 382, 16, 515, 294, 5963, 40119, 9913, 332, 18, 1591, 808, 45422, 4770, 5649, 298, 8794, 1728, 16787, 322, 652, 24773, 16, 3110, 42130, 52, 477, 7755, 309, 505, 13026, 1378, 18, 20346, 45422, 39496, 1176, 411, 14886, 308, 11831, 718, 1524, 14538, 2815, 16, 374, 4770, 3164, 282, 478, 10004, 2378, 547, 2468, 910, 5923, 28708, 18419, 18, 17100, 1687, 46199, 5649, 298, 10480, 16, 453, 575, 428, 289, 9457, 1888, 14314, 4000, 18, 824, 13460, 3761, 16, 19336, 3225, 44956, 4335, 25545, 4436, 14886, 16, 282, 970, 2875, 9362, 7796, 1552, 769, 748, 355, 1528, 6606, 636, 274, 1789, 265, 877, 18, 8281, 24977, 541, 35001, 2756, 22776, 622, 6937, 5649, 298, 9193, 17909, 381, 9152, 488, 15273, 16, 4154, 979, 289, 3094, 13402, 2685, 4964, 18133, 16, 961, 309, 15934, 2553, 12596, 44121, 553, 1279, 1613, 10521, 297, 718, 5940, 2198, 36303, 289, 15581, 29676, 21456, 41684, 16, 16258, 11940, 281, 478, 13945, 17, 6207, 578, 323, 861, 385, 16838, 3612, 308, 11831, 1162, 10169, 8643, 6053, 1833, 1279, 4335, 16521, 5910, 16, 961, 7556, 48159, 5808, 11214, 411, 15165, 626, 9037, 282, 30227, 45559, 33657, 18, 7042, 1613, 10521, 297, 1133, 15499, 1157, 16, 14930, 6519, 282, 520, 14054, 680, 14561, 7423, 309, 5939, 6420, 395, 2025, 22158, 347, 791, 1624, 34339, 670, 294, 7824, 9885, 36400, 349, 26147, 27538, 342, 347, 473, 1243, 7788, 1421, 30953, 5791, 29102, 510, 5971, 262, 16, 403, 24773, 289, 10648, 17577, 552, 16, 961, 2723, 1007, 36733, 3317, 17, 552, 10521, 4455, 934, 670, 294, 1033, 13095, 1809, 29676, 16458, 9251, 13770, 478, 5853, 10769, 1607, 17, 822, 375, 910, 1586, 349, 5017, 2508, 18116, 8423, 424, 6457, 13854, 9603, 388, 292, 368, 16, 50223, 300, 341, 289, 457, 375, 431, 342, 2274, 309, 13078, 281, 42233, 620, 18, 1681, 9603, 388, 292, 9960, 308, 11831, 1162, 10169, 2498, 14851, 45366, 5552, 13270, 30, 23659, 391, 14112, 618, 9537, 282, 5192, 289, 2191, 3457, 2364, 594, 5887, 2713, 2209, 4257, 18, 9873, 978, 309, 21498, 547, 15934, 2553, 8702, 35412, 7557, 670, 282, 21992, 281, 391, 14112, 618, 289, 29676, 30809, 17567, 16, 32346, 39996, 965, 281, 478, 13945, 17, 6207, 578, 323, 470, 282, 7338, 19276, 718, 9020, 312, 807, 861, 478, 563, 813, 726, 3215, 1335, 4096, 309, 15934, 16, 510, 15875, 16708, 8054, 5810, 1059, 765, 4350, 35540, 21690, 1899, 1019, 2236, 411, 6367, 50100, 31116, 626, 18, 510, 1345, 11843, 29252, 861, 385, 2742, 3750, 282, 29102, 8056, 1293, 19264, 11400, 19762, 16, 282, 1639, 7650, 3455, 8880, 289, 19418, 2673, 1353, 345, 5856, 309, 15934, 5887, 16, 961, 24782, 9193, 697, 24074, 7003, 448, 2644, 18, 365, 4729, 22587, 29183, 44661, 3227, 17091, 37558, 1134, 1613, 10521, 1798, 16, 367, 1038, 8243, 49488, 289, 2019, 1275, 411, 22286, 33888, 5307, 750, 18, 7255, 539, 25961, 2834, 6191, 360, 39306, 973, 19162, 12128, 1066, 2553, 18, 31325, 14995, 9085, 13465, 10671, 38090, 478, 12014, 937, 294, 2962, 21593, 910 ]
[ 19644, 16, 374, 16, 478, 4743, 982, 373, 537, 898, 23500, 16, 697, 25733, 8166, 30947, 2309, 536, 6929, 289, 281, 16841, 49880, 3343, 861, 18211, 16, 32073, 16361, 3050, 1322, 1136, 303, 746, 29102, 16, 9321, 290, 5941, 478, 370, 1088, 360, 10651, 18802, 861, 640, 970, 575, 39205, 289, 12501, 37869, 2145, 1624, 2394, 27780, 11291, 475, 2886, 448, 3586, 6929, 31858, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 45136, 8056, 5487, 9744, 4830, 1175, 9001, 9620, 281, 20712, 2450, 15748, 30218, 18801, 40266, 49590, 547, 18, 24295, 5222, 8566, 4077, 478, 348, 2629, 536, 861, 824, 505, 3163, 16, 282, 19145, 1176, 309, 1176, 745, 28522, 17488, 3281, 26896, 1608, 7080, 4534, 289, 49085, 522, 8582, 16, 367, 1038, 20696, 309, 2839, 1532, 1212, 34162, 18, 31224, 30, 22709, 2684, 4830, 1175, 9001, 9620, 289, 11050, 2450, 15748, 30218, 18801, 40266, 49590, 324, 281, 30780, 309, 2941, 906, 478, 348, 2629, 416, 470, 289, 23350, 1424, 1293, 13624, 867, 18, 1367, 803, 6732, 2815, 334, 8872, 5790, 16, 5923, 391, 26448, 18, 478, 4348, 7737, 8346, 289, 381, 3182, 3338, 7080, 6190, 22648, 2794, 16, 48345, 290, 5831, 1555, 15091, 16, 290, 24201, 292, 3281, 26896, 1608, 16891, 910, 510, 2815, 9805, 5222, 18, 824, 3163, 9620, 16, 492, 9813, 364, 281, 18801, 40266, 49590, 547, 20696, 309, 2839, 1532, 1212, 34162, 289, 18798, 1285, 426, 1394, 8902, 18, 478, 6115, 503, 5979, 1054, 4869, 290, 970, 16, 428, 289, 374, 1513, 2048, 541, 924, 16, 753, 6295, 9219, 10718, 17488, 309, 28609, 910, 510, 4725, 4770, 2407, 18, 450, 2594, 5954, 883, 583, 2952, 7312, 282, 1657, 864, 409, 45915, 2514, 15046, 7377, 309, 12542, 26046, 567, 45136, 18, 18206, 6732, 289, 403, 4782, 32079, 2364, 1949, 3139, 18, 478, 22709, 2684, 13764, 7147, 17, 264, 17, 5131, 3419, 726, 13862, 18483, 2198, 541, 1710, 4177, 18, 5043, 16, 6709, 16, 6732, 289, 18801, 12816, 5658, 322, 2240, 37897, 368, 477, 5547, 18, 5451, 35392, 778, 5222, 309, 10927, 14835, 11749, 8382, 1715, 309, 11954, 910, 510, 3012, 937, 16937, 6080, 478, 13261, 861, 2112, 9744, 7583, 289, 5211, 35392, 680, 4546, 15177, 751, 281, 12070, 12253, 1437, 18, 985, 3110, 727, 4742, 1624, 10353, 6732, 2815, 16, 374, 3771, 478, 960, 577, 2154, 16, 13649, 16, 8885, 334, 10268, 6190, 405, 1532, 718, 31858, 289, 334, 3343, 10414, 7080, 281, 2145, 861, 26966, 5854, 11896, 25198, 528, 2817, 14708, 363, 16328, 17217, 309, 502, 16, 374, 4765, 9620, 289, 403, 4782, 6721, 43492, 309, 2839, 1532, 1212, 34162, 18, 824, 505, 3163, 16, 3771, 289, 30218, 3929, 13561, 9164, 37376, 11612, 18, 817, 1038, 5692, 16, 374, 25886, 375, 6317, 45254, 7080, 1251, 26150, 289, 49085, 11444, 547, 18, 3436, 4238, 19275, 1369, 2064, 18801, 40266, 49590, 324, 12985, 309, 31278, 46405, 18, 999, 1293, 3139, 519, 978, 2452, 20240, 12127, 289, 7490, 309, 7020, 33879, 363, 16, 988, 685, 1324, 928, 334, 8401, 10825, 35144, 17, 267, 380, 306, 18, 478, 4348, 7038, 309, 2468, 16, 785, 492, 6544, 18, 1345, 12503, 505, 281, 8374, 2484, 18, 7909, 975, 11931, 8109, 27458, 11989, 16, 367, 971, 492, 726, 6544, 294, 1299, 289, 360, 1683, 364, 8374, 2880, 910, 510, 2323, 2197, 411, 5993, 2543, 16, 4765, 2339, 309, 734, 43429, 18801, 40266, 49590, 324, 18, 34889, 4228, 38349, 16, 374, 329, 18801, 40266, 49590, 324, 322, 1833, 7820, 360, 1683, 649, 20963, 12894, 16, 2686, 14027, 2210, 3438, 6519, 4419, 8862, 5792, 16, 5938, 3279, 17928, 411, 30218, 322, 1559, 45789, 8338, 8374, 2880, 18, 478, 9256, 16, 492, 24475, 18, 1268, 1683, 364, 16, 282, 13208, 7389, 905, 910, 510, 2323, 678, 18, 18206, 4830, 1175, 281, 20712, 30218, 895, 1852, 478, 35210, 14603, 334, 20535, 470, 21935, 2145, 5035, 433, 554, 16078, 864, 1624, 3387, 1426, 1963, 1698, 3836, 10927, 541, 1634, 9623, 16, 5301, 13205, 8054, 23096, 3233, 9908, 22886, 18, 478, 11227, 403, 4782, 481, 2678, 2673, 44359, 28107, 12672, 15948, 334, 11135, 28481, 445, 2830, 427, 12654, 30576, 18, 6732, 895, 34487, 6688, 1175, 309, 6942, 16, 1837, 547, 541, 2145, 16, 510, 428, 481, 639, 3255, 281, 2901, 17003, 289, 42752, 304, 910, 510, 5130, 282, 7705, 18, 12404, 4765, 281, 30012, 8350, 18801, 40266, 49590, 392, 8879, 5873, 23564, 19005, 17916, 2231, 636, 431, 9085, 1624, 1029, 4419, 31568, 12435, 1279, 49085, 522, 8582, 349, 22990, 28481, 6617, 18, 2949, 924, 16, 4765, 281, 18801, 304, 10859, 2678, 29813, 478, 272, 2385, 319, 2159, 7957, 289, 3604, 4371, 290, 478, 33819, 432, 25909, 470, 2145, 289, 12654, 30576, 910, 10050, 1273, 27971, 15402, 24639, 18, 23110, 539, 3203, 662, 1175, 282, 38632, 9085, 4360, 1450, 12314, 649, 741, 299, 309, 9681, 7059, 2145, 290, 36665, 3741, 13951, 1279, 49085, 522, 8582, 289, 5695, 1450, 2678, 41043, 1519, 10855, 18801, 40266, 49590, 324, 16, 10050, 10958, 18, 365, 1423, 3678, 16, 30218, 281, 3195, 38836, 281, 9609, 895, 478, 1567, 19027, 2998, 470, 360, 27838, 13029, 1443, 7080, 49085, 522, 8582, 281, 25886, 15421, 18, 2, 1, 87, 1456, 81, 2448, 30, 31971, 1318, 624, 5319, 912, 8856, 16, 367, 5222, 17567, 478, 36898, 6284, 470, 4210, 1034, 392, 483, 1139, 322, 3365, 16, 290, 828, 2548, 18, 996, 8099, 5319, 4137, 421, 2004, 778, 2715, 309, 42524, 47712, 290, 970, 16, 374, 505, 28402, 1513, 478, 598, 317, 8475, 910, 453, 428, 2900, 19401, 1003, 537, 282, 2059, 4008, 18, 9857, 6106, 1034, 392, 483, 22699, 1011, 13516, 7067, 334, 17702, 371, 48619, 18, 31224, 30, 31971, 3082, 5319, 4137, 421, 2004, 778, 567, 808, 24814, 7337, 14935, 582, 18726, 405, 18509, 12954, 2260, 4141, 2715, 309, 42524, 15465, 3463, 478, 36898, 6284, 470, 11088, 1034, 392, 756, 16, 1978, 20202, 16843, 8475, 17023, 5319, 16, 1548, 374, 16, 334, 505, 3163, 16, 537, 282, 2059, 4008, 2567, 36193, 1003, 18, 9668, 11413, 9299, 16, 374, 18909, 12892, 16, 2412, 5800, 38157, 16, 912, 567, 1209, 7338, 18, 421, 2004, 778, 5273, 16, 374, 1034, 392, 483, 478, 404, 10219, 16, 290, 828, 2548, 861, 478, 31971, 1318, 662, 5319, 912, 8856, 18, 23033, 968, 3089, 8362, 16, 988, 1003, 15310, 5319, 16, 15352, 5319, 16, 828, 8362, 16, 988, 745, 912, 18, 629, 3684, 16, 374, 48534, 5319, 5670, 16, 9893, 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 ]
[ 19644, 16, 374, 16, 478, 4743, 982, 373, 537, 898, 23500, 16, 697, 25733, 8166, 30947, 2309, 536, 6929, 289, 281, 16841, 49880, 3343, 861, 18211, 16, 32073, 16361, 3050, 1322, 1136, 303, 746, 29102, 16, 9321, 290, 5941, 478, 370, 1088, 360, 10651, 18802, 861, 640, 970, 575, 39205, 289, 12501, 37869, 2145, 1624, 2394, 27780, 11291, 475, 2886, 448, 3586, 6929, 31858, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 45136, 8056, 5487, 9744, 4830, 1175, 9001, 9620, 281, 20712, 2450, 15748, 30218, 18801, 40266, 49590, 547, 18, 24295, 5222, 8566, 4077, 478, 348, 2629, 536, 861, 824, 505, 3163, 16, 282, 19145, 1176, 309, 1176, 745, 28522, 17488, 3281, 26896, 1608, 7080, 4534, 289, 49085, 522, 8582, 16, 367, 1038, 20696, 309, 2839, 1532, 1212, 34162, 18, 31224, 30, 22709, 2684, 4830, 1175, 9001, 9620, 289, 11050, 2450, 15748, 30218, 18801, 40266, 49590, 324, 281, 30780, 309, 2941, 906, 478, 348, 2629, 416, 470, 289, 23350, 1424, 1293, 13624, 867, 18, 1367, 803, 6732, 2815, 334, 8872, 5790, 16, 5923, 391, 26448, 18, 478, 4348, 7737, 8346, 289, 381, 3182, 3338, 7080, 6190, 22648, 2794, 16, 48345, 290, 5831, 1555, 15091, 16, 290, 24201, 292, 3281, 26896, 1608, 16891, 910, 510, 2815, 9805, 5222, 18, 824, 3163, 9620, 16, 492, 9813, 364, 281, 18801, 40266, 49590, 547, 20696, 309, 2839, 1532, 1212, 34162, 289, 18798, 1285, 426, 1394, 8902, 18, 478, 6115, 503, 5979, 1054, 4869, 290, 970, 16, 428, 289, 374, 1513, 2048, 541, 924, 16, 753, 6295, 9219, 10718, 17488, 309, 28609, 910, 510, 4725, 4770, 2407, 18, 450, 2594, 5954, 883, 583, 2952, 7312, 282, 1657, 864, 409, 45915, 2514, 15046, 7377, 309, 12542, 26046, 567, 45136, 18, 18206, 6732, 289, 403, 4782, 32079, 2364, 1949, 3139, 18, 478, 22709, 2684, 13764, 7147, 17, 264, 17, 5131, 3419, 726, 13862, 18483, 2198, 541, 1710, 4177, 18, 5043, 16, 6709, 16, 6732, 289, 18801, 12816, 5658, 322, 2240, 37897, 368, 477, 5547, 18, 5451, 35392, 778, 5222, 309, 10927, 14835, 11749, 8382, 1715, 309, 11954, 910, 510, 3012, 937, 16937, 6080, 478, 13261, 861, 2112, 9744, 7583, 289, 5211, 35392, 680, 4546, 15177, 751, 281, 12070, 12253, 1437, 18, 985, 3110, 727, 4742, 1624, 10353, 6732, 2815, 16, 374, 3771, 478, 960, 577, 2154, 16, 13649, 16, 8885, 334, 10268, 6190, 405, 1532, 718, 31858, 289, 334, 3343, 10414, 7080, 281, 2145, 861, 26966, 5854, 11896, 25198, 528, 2817, 14708, 363, 16328, 17217, 309, 502, 16, 374, 4765, 9620, 289, 403, 4782, 6721, 43492, 309, 2839, 1532, 1212, 34162, 18, 824, 505, 3163, 16, 3771, 289, 30218, 3929, 13561, 9164, 37376, 11612, 18, 817, 1038, 5692, 16, 374, 25886, 375, 6317, 45254, 7080, 1251, 26150, 289, 49085, 11444, 547, 18, 3436, 4238, 19275, 1369, 2064, 18801, 40266, 49590, 324, 12985, 309, 31278, 46405, 18, 999, 1293, 3139, 519, 978, 2452, 20240, 12127, 289, 7490, 309, 7020, 33879, 363, 16, 988, 685, 1324, 928, 334, 8401, 10825, 35144, 17, 267, 380, 306, 18, 478, 4348, 7038, 309, 2468, 16, 785, 492, 6544, 18, 1345, 12503, 505, 281, 8374, 2484, 18, 7909, 975, 11931, 8109, 27458, 11989, 16, 367, 971, 492, 726, 6544, 294, 1299, 289, 360, 1683, 364, 8374, 2880, 910, 510, 2323, 2197, 411, 5993, 2543, 16, 4765, 2339, 309, 734, 43429, 18801, 40266, 49590, 324, 18, 34889, 4228, 38349, 16, 374, 329, 18801, 40266, 49590, 324, 322, 1833, 7820, 360, 1683, 649, 20963, 12894, 16, 2686, 14027, 2210, 3438, 6519, 4419, 8862, 5792, 16, 5938, 3279, 17928, 411, 30218, 322, 1559, 45789, 8338, 8374, 2880, 18, 478, 9256, 16, 492, 24475, 18, 1268, 1683, 364, 16, 282, 13208, 7389, 905, 910, 510, 2323, 678, 18, 18206, 4830, 1175, 281, 20712, 30218, 895, 1852, 478, 35210, 14603, 334, 20535, 470, 21935, 2145, 5035, 433, 554, 16078, 864, 1624, 3387, 1426, 1963, 1698, 3836, 10927, 541, 1634, 9623, 16, 5301, 13205, 8054, 23096, 3233, 9908, 22886, 18, 478, 11227, 403, 4782, 481, 2678, 2673, 44359, 28107, 12672, 15948, 334, 11135, 28481, 445, 2830, 427, 12654, 30576, 18, 6732, 895, 34487, 6688, 1175, 309, 6942, 16, 1837, 547, 541, 2145, 16, 510, 428, 481, 639, 3255, 281, 2901, 17003, 289, 42752, 304, 910, 510, 5130, 282, 7705, 18, 12404, 4765, 281, 30012, 8350, 18801, 40266, 49590, 392, 8879, 5873, 23564, 19005, 17916, 2231, 636, 431, 9085, 1624, 1029, 4419, 31568, 12435, 1279, 49085, 522, 8582, 349, 22990, 28481, 6617, 18, 2949, 924, 16, 4765, 281, 18801, 304, 10859, 2678, 29813, 478, 272, 2385, 319, 2159, 7957, 289, 3604, 4371, 290, 478, 33819, 432, 25909, 470, 2145, 289, 12654, 30576, 910, 10050, 1273, 27971, 15402, 24639, 18, 23110, 539, 3203, 662, 1175, 282, 38632, 9085, 4360, 1450, 12314, 649, 741, 299, 309, 9681, 7059, 2145, 290, 36665, 3741, 13951, 1279, 49085, 522, 8582, 289, 5695, 1450, 2678, 41043, 1519, 10855, 18801, 40266, 49590, 324, 16, 10050, 10958, 18, 365, 1423, 3678, 16, 30218, 281, 3195, 38836, 281, 9609, 895, 478, 1567, 19027, 2998, 470, 360, 27838, 13029, 1443, 7080, 49085, 522, 8582, 281, 25886, 15421, 18, 2, 1, 87, 1456, 81, 2448, 30, 31971, 1318, 624, 5319, 912, 8856, 16, 367, 5222, 17567, 478, 36898, 6284, 470, 4210, 1034, 392, 483, 1139, 322, 3365, 16, 290, 828, 2548, 18, 996, 8099, 5319, 4137, 421, 2004, 778, 2715, 309, 42524, 47712, 290, 970, 16, 374, 505, 28402, 1513, 478, 598, 317, 8475, 910, 453, 428, 2900, 19401, 1003, 537, 282, 2059, 4008, 18, 9857, 6106, 1034, 392, 483, 22699, 1011, 13516, 7067, 334, 17702, 371, 48619, 18, 31224, 30, 31971, 3082, 5319, 4137, 421, 2004, 778, 567, 808, 24814, 7337, 14935, 582, 18726, 405, 18509, 12954, 2260, 4141, 2715, 309, 42524, 15465, 3463, 478, 36898, 6284, 470, 11088, 1034, 392, 756, 16, 1978, 20202, 16843, 8475, 17023, 5319, 16, 1548, 374, 16, 334, 505, 3163, 16, 537, 282, 2059, 4008, 2567, 36193, 1003, 18, 9668, 11413, 9299, 16, 374, 18909, 12892, 16, 2412, 5800, 38157, 16, 912, 567, 1209, 7338, 18, 421, 2004, 778, 5273, 16, 374, 1034, 392, 483, 478, 404, 10219, 16, 290, 828, 2548, 861, 478, 31971, 1318, 662, 5319, 912, 8856, 18, 23033, 968, 3089, 8362, 16, 988, 1003, 15310, 5319, 16, 15352, 5319, 16, 828, 8362, 16, 988, 745, 912, 18, 629, 3684, 16, 374, 48534, 5319, 5670, 16, 9893, 16 ]
[ 11752, 16, 11612, 939, 12982, 751, 373, 16, 827, 373, 23493, 16, 374, 697, 16, 8405, 16, 1003, 910, 510, 1109, 492, 18, 20346, 14175, 289, 34349, 4210, 1034, 392, 483, 4424, 5962, 3455, 282, 11073, 7067, 334, 17702, 371, 48619, 18, 985, 3828, 1817, 5792, 16, 1011, 6612, 883, 16, 35019, 11755, 508, 552, 478, 630, 17702, 910, 5222, 478, 36898, 16965, 470, 12679, 281, 1126, 761, 1479, 24225, 282, 4459, 3569, 9297, 266, 367, 18, 478, 11459, 282, 1851, 23691, 4008, 1003, 12967, 5319, 5, 629, 3478, 44223, 5065, 10839, 30, 475, 92, 16843, 8475, 16, 428, 36720, 18524, 15441, 910, 510, 7332, 1694, 1034, 392, 756, 24036, 472, 5437, 17565, 18, 1870, 37977, 10824, 2159, 3003, 21986, 282, 2172, 20358, 31129, 16, 5870, 16872, 289, 12797, 1250, 2485, 382, 360, 1728, 5478, 18, 415, 970, 16, 374, 1034, 392, 483, 1559, 11947, 11758, 7067, 371, 40745, 16934, 334, 17702, 2438, 3665, 282, 2343, 3750, 18, 9418, 281, 1498, 282, 35351, 7393, 20295, 44165, 19792, 324, 431, 483, 1624, 34349, 4944, 31638, 43110, 1624, 6246, 40872, 574, 4830, 1175, 334, 3445, 1147, 6120, 1147, 31230, 6070, 1034, 560, 20683, 289, 3333, 2393, 10933, 37361, 5319, 18, 6422, 16, 282, 4542, 11753, 6612, 883, 1034, 392, 483, 35447, 2319, 1033, 281, 4553, 315, 16, 828, 349, 697, 13952, 18, 26907, 1310, 266, 16328, 6106, 16, 374, 26014, 1568, 478, 630, 17702, 470, 322, 5304, 33550, 1519, 475, 9264, 14443, 18, 478, 10150, 3376, 1135, 16, 329, 2024, 912, 29562, 842, 16, 1623, 46074, 2672, 2936, 289, 46074, 5319, 18, 4794, 292, 13257, 5319, 33550, 1519, 1139, 34490, 4385, 510, 2628, 687, 11670, 18081, 14254, 12091, 16, 21804, 18, 889, 322, 9040, 16, 453, 428, 475, 12604, 414, 30486, 17, 4512, 33706, 16, 453, 428, 726, 14923, 1323, 14639, 2837, 8770, 16, 453, 428, 1314, 16, 8647, 4538, 16, 25530, 5319, 289, 15363, 17638, 510, 3591, 14831, 320, 910, 510, 10824, 1423, 10839, 1034, 392, 483, 18, 832, 22476, 519, 978, 6612, 542, 1034, 392, 483, 282, 3177, 584, 419, 844, 482, 10218, 290, 970, 16, 374, 32995, 3676, 20762, 478, 36898, 6284, 470, 4040, 24146, 3276, 18, 35756, 2837, 541, 42519, 20762, 8348, 492, 3404, 428, 3757, 282, 12524, 416, 5492, 18, 1870, 37977, 6463, 16, 374, 12633, 478, 10524, 478, 406, 1380, 470, 282, 529, 388, 547, 6003, 861, 817, 18789, 2159, 20014, 24916, 290, 970, 16, 374, 478, 894, 12144, 282, 18410, 452, 861, 6422, 16, 4538, 290, 43083, 6585, 1034, 392, 756, 16, 745, 3215, 2669, 26842, 1867, 1110, 16, 294, 4106, 745, 6790, 1007, 18, 439, 1034, 392, 483, 16, 3073, 16, 4521, 322, 9733, 44749, 1694, 18, 996, 16, 282, 8151, 3990, 492, 44094, 706, 281, 45436, 15859, 17630, 337, 355, 5452, 19751, 18, 817, 6463, 282, 584, 419, 844, 482, 29142, 30201, 16, 2486, 36593, 7036, 290, 11580, 263, 5452, 19751, 289, 30077, 30236, 5014, 755, 14730, 18, 478, 13261, 30597, 16, 1122, 8856, 396, 43097, 3910, 16, 1983, 629, 20747, 43136, 34501, 15282, 3396, 910, 510, 2780, 1617, 32965, 1034, 392, 483, 18, 5043, 16, 282, 23650, 4996, 492, 475, 575, 21161, 39184, 16, 32949, 16, 374, 1175, 678, 19556, 322, 687, 428, 40836, 478, 46574, 17, 22, 910, 515, 289, 428, 21412, 16, 23024, 289, 14831, 320, 18, 478, 563, 16198, 549, 289, 23093, 16, 309, 34343, 225, 13897, 16, 1983, 3492, 3221, 9496, 281, 16709, 282, 3048, 432, 23286, 5433, 510, 46276, 3519, 34349, 18, 478, 732, 8856, 16, 289, 1514, 26831, 13102, 16, 1983, 25122, 16, 360, 5208, 289, 3955, 5958, 525, 16, 1983, 832, 477, 12690, 678, 16, 1139, 7644, 2546, 412, 525, 910, 510, 42375, 39597, 1034, 392, 483, 18, 8353, 5452, 19751, 322, 12842, 965, 2693, 5837, 18, 365, 3177, 584, 419, 844, 482, 678, 14350, 6818, 1034, 392, 756, 428, 2236, 411, 1634, 47953, 1388, 2477, 16, 581, 1587, 1450, 40042, 6807, 18, 478, 37660, 282, 21743, 1728, 40459, 16, 515, 475, 22438, 30, 1085, 17, 299, 3053, 16623, 309, 36843, 16, 367, 1085, 17, 299, 289, 10598, 723, 629, 36647, 1514, 18, 24495, 16, 374, 322, 2447, 1337, 1514, 11558, 5645, 1398, 16, 515, 4894, 13999, 939, 26570, 541, 813, 4271, 510, 29325, 848, 6406, 5452, 19751, 18, 365, 502, 575, 808, 678, 2394, 1909, 1888, 48599, 322, 7982, 11120, 309, 1710, 18, 13925, 678, 1038, 282, 584, 419, 844, 482, 22321, 1034, 392, 756, 309, 6707, 271, 16, 32949, 16, 374, 745, 1494, 1904, 1927, 6976, 16, 515, 1441, 329, 1047, 6605, 32635, 478, 275, 5690, 316, 17215, 2570, 5785, 2240, 9913, 12313, 6123, 861, 1034, 392, 483, 16, 282, 1423, 3678, 16, 2715, 1360, 7725, 2827, 3226, 575, 282, 12524, 416, 5492, 18, 26907, 1310, 266, 16328, 5086, 468, 16, 374, 322, 5304, 10529, 18, 478, 3096, 7748, 360, 1315, 1932, 3792, 282, 502, 3733, 18, 1983, 24918, 16, 703, 473, 293, 348, 7862, 18, 510, 478, 18386, 18, 8381, 9979, 14186, 2347, 16, 1983, 378, 7871, 507, 289, 19064, 4651, 30522, 910, 510, 6463, 1034, 392, 483, 16, 6517, 2135, 309, 8862, 290, 3332, 582, 5014, 755, 14730, 281, 9440, 4309, 18718, 547, 14186, 303, 2509, 1624, 281, 3279, 329, 5452, 19751, 8641, 6426, 18, 1034, 392, 483, 4725, 16, 374, 541, 5452, 19751, 3591, 15506, 510, 481, 8720, 18787, 1595, 16414, 18, 478, 36677, 417, 322, 378, 35100, 7125, 16, 367, 694, 322, 8790, 307, 17, 672, 809, 16, 1983, 981, 16, 656, 2944, 281, 4089, 726, 322, 1974, 18, 1983, 20239, 478, 399, 339, 7989, 40947, 470, 1139, 541, 23660, 809, 16, 1983, 985, 478, 9028, 2251, 2922, 470, 23823, 319, 309, 8159, 547, 2468, 910, 510, 2815, 34349, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11877, 282, 25287, 17, 12616, 486, 409, 8192, 3560, 23344, 19228, 3800, 779, 18, 365, 20933, 445, 309, 1702, 9851, 39555, 34116, 307, 30415, 1042, 262, 289, 40540, 28327, 5888, 2101, 582, 267, 651, 8329, 411, 3322, 45895, 432, 3714, 35223, 40636, 16, 961, 38346, 467, 14560, 2403, 4437, 478, 14754, 16275, 19606, 470, 334, 7475, 1234, 40344, 18, 31224, 30, 677, 11877, 282, 25287, 17, 12616, 486, 409, 9934, 3084, 35335, 778, 2894, 16, 282, 29437, 12118, 2024, 282, 20933, 445, 349, 4101, 7109, 986, 1747, 27947, 11294, 23530, 28410, 34116, 307, 30415, 1042, 262, 473, 11498, 17 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11752, 16, 11612, 939, 12982, 751, 373, 16, 827, 373, 23493, 16, 374, 697, 16, 8405, 16, 1003, 910, 510, 1109, 492, 18, 20346, 14175, 289, 34349, 4210, 1034, 392, 483, 4424, 5962, 3455, 282, 11073, 7067, 334, 17702, 371, 48619, 18, 985, 3828, 1817, 5792, 16, 1011, 6612, 883, 16, 35019, 11755, 508, 552, 478, 630, 17702, 910, 5222, 478, 36898, 16965, 470, 12679, 281, 1126, 761, 1479, 24225, 282, 4459, 3569, 9297, 266, 367, 18, 478, 11459, 282, 1851, 23691, 4008, 1003, 12967, 5319, 5, 629, 3478, 44223, 5065, 10839, 30, 475, 92, 16843, 8475, 16, 428, 36720, 18524, 15441, 910, 510, 7332, 1694, 1034, 392, 756, 24036, 472, 5437, 17565, 18, 1870, 37977, 10824, 2159, 3003, 21986, 282, 2172, 20358, 31129, 16, 5870, 16872, 289, 12797, 1250, 2485, 382, 360, 1728, 5478, 18, 415, 970, 16, 374, 1034, 392, 483, 1559, 11947, 11758, 7067, 371, 40745, 16934, 334, 17702, 2438, 3665, 282, 2343, 3750, 18, 9418, 281, 1498, 282, 35351, 7393, 20295, 44165, 19792, 324, 431, 483, 1624, 34349, 4944, 31638, 43110, 1624, 6246, 40872, 574, 4830, 1175, 334, 3445, 1147, 6120, 1147, 31230, 6070, 1034, 560, 20683, 289, 3333, 2393, 10933, 37361, 5319, 18, 6422, 16, 282, 4542, 11753, 6612, 883, 1034, 392, 483, 35447, 2319, 1033, 281, 4553, 315, 16, 828, 349, 697, 13952, 18, 26907, 1310, 266, 16328, 6106, 16, 374, 26014, 1568, 478, 630, 17702, 470, 322, 5304, 33550, 1519, 475, 9264, 14443, 18, 478, 10150, 3376, 1135, 16, 329, 2024, 912, 29562, 842, 16, 1623, 46074, 2672, 2936, 289, 46074, 5319, 18, 4794, 292, 13257, 5319, 33550, 1519, 1139, 34490, 4385, 510, 2628, 687, 11670, 18081, 14254, 12091, 16, 21804, 18, 889, 322, 9040, 16, 453, 428, 475, 12604, 414, 30486, 17, 4512, 33706, 16, 453, 428, 726, 14923, 1323, 14639, 2837, 8770, 16, 453, 428, 1314, 16, 8647, 4538, 16, 25530, 5319, 289, 15363, 17638, 510, 3591, 14831, 320, 910, 510, 10824, 1423, 10839, 1034, 392, 483, 18, 832, 22476, 519, 978, 6612, 542, 1034, 392, 483, 282, 3177, 584, 419, 844, 482, 10218, 290, 970, 16, 374, 32995, 3676, 20762, 478, 36898, 6284, 470, 4040, 24146, 3276, 18, 35756, 2837, 541, 42519, 20762, 8348, 492, 3404, 428, 3757, 282, 12524, 416, 5492, 18, 1870, 37977, 6463, 16, 374, 12633, 478, 10524, 478, 406, 1380, 470, 282, 529, 388, 547, 6003, 861, 817, 18789, 2159, 20014, 24916, 290, 970, 16, 374, 478, 894, 12144, 282, 18410, 452, 861, 6422, 16, 4538, 290, 43083, 6585, 1034, 392, 756, 16, 745, 3215, 2669, 26842, 1867, 1110, 16, 294, 4106, 745, 6790, 1007, 18, 439, 1034, 392, 483, 16, 3073, 16, 4521, 322, 9733, 44749, 1694, 18, 996, 16, 282, 8151, 3990, 492, 44094, 706, 281, 45436, 15859, 17630, 337, 355, 5452, 19751, 18, 817, 6463, 282, 584, 419, 844, 482, 29142, 30201, 16, 2486, 36593, 7036, 290, 11580, 263, 5452, 19751, 289, 30077, 30236, 5014, 755, 14730, 18, 478, 13261, 30597, 16, 1122, 8856, 396, 43097, 3910, 16, 1983, 629, 20747, 43136, 34501, 15282, 3396, 910, 510, 2780, 1617, 32965, 1034, 392, 483, 18, 5043, 16, 282, 23650, 4996, 492, 475, 575, 21161, 39184, 16, 32949, 16, 374, 1175, 678, 19556, 322, 687, 428, 40836, 478, 46574, 17, 22, 910, 515, 289, 428, 21412, 16, 23024, 289, 14831, 320, 18, 478, 563, 16198, 549, 289, 23093, 16, 309, 34343, 225, 13897, 16, 1983, 3492, 3221, 9496, 281, 16709, 282, 3048, 432, 23286, 5433, 510, 46276, 3519, 34349, 18, 478, 732, 8856, 16, 289, 1514, 26831, 13102, 16, 1983, 25122, 16, 360, 5208, 289, 3955, 5958, 525, 16, 1983, 832, 477, 12690, 678, 16, 1139, 7644, 2546, 412, 525, 910, 510, 42375, 39597, 1034, 392, 483, 18, 8353, 5452, 19751, 322, 12842, 965, 2693, 5837, 18, 365, 3177, 584, 419, 844, 482, 678, 14350, 6818, 1034, 392, 756, 428, 2236, 411, 1634, 47953, 1388, 2477, 16, 581, 1587, 1450, 40042, 6807, 18, 478, 37660, 282, 21743, 1728, 40459, 16, 515, 475, 22438, 30, 1085, 17, 299, 3053, 16623, 309, 36843, 16, 367, 1085, 17, 299, 289, 10598, 723, 629, 36647, 1514, 18, 24495, 16, 374, 322, 2447, 1337, 1514, 11558, 5645, 1398, 16, 515, 4894, 13999, 939, 26570, 541, 813, 4271, 510, 29325, 848, 6406, 5452, 19751, 18, 365, 502, 575, 808, 678, 2394, 1909, 1888, 48599, 322, 7982, 11120, 309, 1710, 18, 13925, 678, 1038, 282, 584, 419, 844, 482, 22321, 1034, 392, 756, 309, 6707, 271, 16, 32949, 16, 374, 745, 1494, 1904, 1927, 6976, 16, 515, 1441, 329, 1047, 6605, 32635, 478, 275, 5690, 316, 17215, 2570, 5785, 2240, 9913, 12313, 6123, 861, 1034, 392, 483, 16, 282, 1423, 3678, 16, 2715, 1360, 7725, 2827, 3226, 575, 282, 12524, 416, 5492, 18, 26907, 1310, 266, 16328, 5086, 468, 16, 374, 322, 5304, 10529, 18, 478, 3096, 7748, 360, 1315, 1932, 3792, 282, 502, 3733, 18, 1983, 24918, 16, 703, 473, 293, 348, 7862, 18, 510, 478, 18386, 18, 8381, 9979, 14186, 2347, 16, 1983, 378, 7871, 507, 289, 19064, 4651, 30522, 910, 510, 6463, 1034, 392, 483, 16, 6517, 2135, 309, 8862, 290, 3332, 582, 5014, 755, 14730, 281, 9440, 4309, 18718, 547, 14186, 303, 2509, 1624, 281, 3279, 329, 5452, 19751, 8641, 6426, 18, 1034, 392, 483, 4725, 16, 374, 541, 5452, 19751, 3591, 15506, 510, 481, 8720, 18787, 1595, 16414, 18, 478, 36677, 417, 322, 378, 35100, 7125, 16, 367, 694, 322, 8790, 307, 17, 672, 809, 16, 1983, 981, 16, 656, 2944, 281, 4089, 726, 322, 1974, 18, 1983, 20239, 478, 399, 339, 7989, 40947, 470, 1139, 541, 23660, 809, 16, 1983, 985, 478, 9028, 2251, 2922, 470, 23823, 319, 309, 8159, 547, 2468, 910, 510, 2815, 34349, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11877, 282, 25287, 17, 12616, 486, 409, 8192, 3560, 23344, 19228, 3800, 779, 18, 365, 20933, 445, 309, 1702, 9851, 39555, 34116, 307, 30415, 1042, 262, 289, 40540, 28327, 5888, 2101, 582, 267, 651, 8329, 411, 3322, 45895, 432, 3714, 35223, 40636, 16, 961, 38346, 467, 14560, 2403, 4437, 478, 14754, 16275, 19606, 470, 334, 7475, 1234, 40344, 18, 31224, 30, 677, 11877, 282, 25287, 17, 12616, 486, 409, 9934, 3084, 35335, 778, 2894, 16, 282, 29437, 12118, 2024, 282, 20933, 445, 349, 4101, 7109, 986, 1747, 27947, 11294, 23530, 28410, 34116, 307, 30415, 1042, 262, 473, 11498, 17 ]
[ 24, 17, 22, 16, 9690, 12323, 13, 289, 27363, 343, 6147, 40540, 28327, 5888, 2101, 582, 267, 473, 11498, 17, 26, 17, 21, 16, 11166, 12323, 814, 640, 568, 272, 473, 1369, 2004, 368, 8192, 282, 21687, 402, 1555, 32210, 651, 519, 19856, 16, 27, 8715, 13, 840, 10916, 16851, 4437, 1234, 40344, 478, 7592, 3326, 35335, 272, 19606, 470, 510, 2733, 2175, 1542, 8967, 9733, 18624, 2869, 30415, 1042, 262, 16, 329, 2024, 20256, 9600, 48092, 14007, 778, 4437, 282, 35393, 1212, 12118, 281, 11090, 345, 37339, 326, 18, 33944, 345, 6965, 2394, 1161, 10575, 14481, 2287, 16, 26, 3763, 4662, 16, 411, 1639, 11294, 23530, 28410, 12845, 1488, 16, 10821, 25, 3763, 18, 34116, 307, 30415, 1042, 262, 8503, 18704, 5345, 2389, 12916, 35335, 304, 40636, 567, 1209, 741, 4330, 16, 2686, 567, 10246, 411, 17, 431, 24891, 6454, 334, 2797, 2976, 17, 16868, 4295, 1745, 322, 9934, 505, 23344, 19228, 3800, 281, 727, 5499, 3663, 25109, 13922, 288, 4309, 16, 26109, 2422, 282, 21687, 402, 1555, 32210, 334, 7475, 1234, 11539, 18, 9570, 281, 11166, 17, 35997, 2101, 582, 3032, 30415, 1042, 262, 15980, 726, 282, 20933, 445, 16, 289, 4286, 4090, 4968, 282, 35335, 1212, 2968, 30885, 281, 14418, 536, 16826, 18, 30415, 1042, 262, 25469, 282, 1360, 24087, 2846, 4968, 16, 515, 10490, 651, 764, 282, 3998, 20700, 16, 309, 22993, 16, 367, 5975, 505, 13270, 360, 37339, 326, 639, 282, 6031, 290, 10323, 1569, 16, 1830, 4437, 492, 289, 9724, 18, 824, 8331, 16, 15880, 4675, 13270, 30415, 1042, 262, 35150, 282, 6982, 1045, 360, 38121, 1192, 287, 426, 507, 1624, 2686, 2512, 492, 10490, 31191, 20726, 449, 1736, 301, 18, 2101, 582, 507, 575, 34116, 307, 26869, 300, 10490, 16, 515, 2552, 445, 16039, 14440, 3586, 16, 367, 2615, 697, 3800, 289, 4521, 31089, 48372, 18, 824, 8331, 16, 1717, 43078, 2101, 582, 267, 289, 685, 3818, 30343, 7739, 2409, 282, 24087, 30415, 1042, 262, 18, 640, 7256, 445, 34116, 307, 9733, 4424, 505, 35328, 272, 9587, 289, 309, 970, 30409, 281, 1335, 19968, 16, 1586, 18131, 975, 16, 9705, 16, 13225, 839, 2764, 18, 18720, 322, 1623, 27516, 896, 536, 16, 2686, 282, 16651, 35335, 1212, 2968, 3333, 14007, 1133, 12496, 382, 322, 18955, 289, 25312, 18828, 924, 4612, 16, 374, 6790, 1569, 294, 9671, 3756, 18328, 282, 4832, 486, 409, 18, 824, 8331, 16, 28024, 520, 34116, 307, 35328, 272, 9587, 21755, 651, 1215, 6548, 1247, 16, 14517, 16, 374, 4419, 978, 322, 14985, 2048, 7012, 18, 2101, 582, 267, 685, 26109, 2422, 282, 1949, 19084, 292, 651, 2865, 3002, 761, 473, 660, 18452, 16, 21, 8715, 13, 289, 2992, 2865, 3002, 761, 473, 10821, 8715, 5102, 1314, 16, 428, 289, 30415, 1042, 262, 16, 492, 1559, 31960, 16, 515, 282, 35328, 487, 322, 46661, 537, 7633, 18, 3747, 18042, 937, 289, 584, 7357, 47481, 1159, 6315, 1508, 1467, 4681, 473, 405, 2610, 272, 282, 5895, 1045, 7236, 16607, 1234, 20989, 282, 2865, 3002, 635, 32210, 934, 289, 25109, 13922, 288, 4276, 16, 289, 10490, 30415, 1042, 262, 18, 3397, 2101, 582, 267, 1623, 9019, 1313, 589, 1305, 2422, 282, 5572, 21687, 402, 1555, 32210, 473, 660, 19595, 16, 25, 8715, 13, 334, 7475, 1234, 40344, 16, 282, 2089, 36315, 492, 5264, 1011, 33146, 1672, 4968, 281, 30415, 1042, 262, 349, 14007, 778, 4437, 282, 9044, 519, 19856, 16, 27, 8715, 18, 740, 1717, 282, 21687, 402, 1555, 32210, 8192, 289, 697, 6940, 30639, 18, 7200, 3800, 1251, 30415, 1042, 262, 289, 2101, 582, 3032, 6382, 282, 7520, 1045, 16, 289, 1655, 309, 568, 272, 898, 10553, 1018, 334, 834, 440, 2078, 1234, 20989, 473, 406, 14206, 2101, 582, 267, 13, 289, 33599, 42, 473, 672, 333, 1042, 262, 13, 282, 9044, 519, 18452, 16, 21, 8715, 18, 365, 5572, 36493, 2101, 582, 267, 10490, 24510, 282, 284, 368, 347, 44639, 16, 515, 282, 6031, 10587, 47086, 2795, 3800, 289, 33368, 11120, 1912, 20237, 2169, 18, 18720, 685, 14449, 537, 2607, 536, 16, 1830, 726, 1655, 3333, 5780, 16, 374, 322, 25469, 2101, 582, 267, 1472, 1548, 16, 374, 764, 5195, 2319, 31685, 12320, 16, 828, 30415, 1042, 262, 18, 7409, 30639, 12665, 282, 5049, 1045, 16, 289, 30415, 1042, 262, 21035, 36747, 536, 14620, 19142, 281, 939, 18627, 37751, 18, 18720, 6382, 726, 282, 9044, 19670, 8715, 16, 289, 34143, 2195, 16607, 1234, 11539, 16, 8380, 1779, 2101, 582, 1508, 18, 2101, 582, 267, 3424, 1413, 16295, 282, 284, 368, 347, 44639, 16, 515, 42655, 11294, 293, 12285, 1159, 4443, 29135, 16, 374, 2504, 2512, 322, 18701, 34116, 307, 34528, 17450, 25984, 978, 4968, 18, 7100, 16, 282, 12838, 4440, 779, 1272, 47734, 16, 515, 9478, 7677, 9500, 29314, 21755, 282, 970, 575, 4832, 486, 409, 473, 49600, 8056, 289, 475, 1421, 697, 19163, 4968, 13, 38346, 326, 16607, 282, 21687, 402, 1555, 32210, 473, 660, 19856, 16, 27, 8715, 13, 334, 7475, 1234, 40344, 16, 1029, 24086, 30415, 1042, 262, 18, 17135, 1157, 17556, 16, 374, 697, 2205, 322, 840, 33996, 41625, 2668, 354, 473, 12695, 16, 23, 8715, 814, 824, 1216, 6088, 329, 30415, 1042, 262, 16, 1830, 1176, 17771, 269, 289, 9327, 13514, 957, 16, 367, 6501, 1811, 30302, 8955, 11294, 293, 12285, 1159, 18, 985, 481, 13037, 5106, 16, 282, 7204, 1750, 835, 685, 1500, 17771, 269, 16, 1029, 7236, 8955, 2101, 582, 1508, 16, 515, 505, 309, 3800, 322, 25732, 18, 18720, 685, 13334, 478, 844, 3464, 304, 779, 910, 289, 41014, 30415, 1042, 262, 8249, 41930, 2082, 18, 3557, 1033, 374, 289, 5421, 3800, 16, 726, 281, 11090, 345, 37339, 326, 16, 492, 16, 428, 5658, 17771, 394, 16, 25469, 16, 1830, 1373, 3226, 575, 475, 639, 6891, 18, 996, 374, 7835, 9078, 1190, 14352, 303, 48538, 2739, 30415, 1042, 262, 5304, 16, 1472, 35328, 48744, 13850, 2101, 582, 507, 289, 16, 6709, 16, 7835, 4233, 275, 924, 309, 22893, 18, 967, 803, 4722, 445, 30415, 1042, 262, 2657, 5077, 21755, 282, 35328, 487, 1421, 281, 16401, 779, 2158, 16, 289, 481, 685, 26483, 382, 47462, 2467, 1624, 329, 2024, 726, 898, 14440, 10855, 1844, 3714, 507, 16, 4726, 322, 4153, 8931, 839, 281, 34099, 27670, 18, 996, 374, 2271, 3626, 16410, 1195, 2101, 582, 3032, 541, 30415, 1042, 262, 935, 19079, 16, 828, 10553, 1018, 30, 492, 685, 26109, 2422, 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 ]
[ 24, 17, 22, 16, 9690, 12323, 13, 289, 27363, 343, 6147, 40540, 28327, 5888, 2101, 582, 267, 473, 11498, 17, 26, 17, 21, 16, 11166, 12323, 814, 640, 568, 272, 473, 1369, 2004, 368, 8192, 282, 21687, 402, 1555, 32210, 651, 519, 19856, 16, 27, 8715, 13, 840, 10916, 16851, 4437, 1234, 40344, 478, 7592, 3326, 35335, 272, 19606, 470, 510, 2733, 2175, 1542, 8967, 9733, 18624, 2869, 30415, 1042, 262, 16, 329, 2024, 20256, 9600, 48092, 14007, 778, 4437, 282, 35393, 1212, 12118, 281, 11090, 345, 37339, 326, 18, 33944, 345, 6965, 2394, 1161, 10575, 14481, 2287, 16, 26, 3763, 4662, 16, 411, 1639, 11294, 23530, 28410, 12845, 1488, 16, 10821, 25, 3763, 18, 34116, 307, 30415, 1042, 262, 8503, 18704, 5345, 2389, 12916, 35335, 304, 40636, 567, 1209, 741, 4330, 16, 2686, 567, 10246, 411, 17, 431, 24891, 6454, 334, 2797, 2976, 17, 16868, 4295, 1745, 322, 9934, 505, 23344, 19228, 3800, 281, 727, 5499, 3663, 25109, 13922, 288, 4309, 16, 26109, 2422, 282, 21687, 402, 1555, 32210, 334, 7475, 1234, 11539, 18, 9570, 281, 11166, 17, 35997, 2101, 582, 3032, 30415, 1042, 262, 15980, 726, 282, 20933, 445, 16, 289, 4286, 4090, 4968, 282, 35335, 1212, 2968, 30885, 281, 14418, 536, 16826, 18, 30415, 1042, 262, 25469, 282, 1360, 24087, 2846, 4968, 16, 515, 10490, 651, 764, 282, 3998, 20700, 16, 309, 22993, 16, 367, 5975, 505, 13270, 360, 37339, 326, 639, 282, 6031, 290, 10323, 1569, 16, 1830, 4437, 492, 289, 9724, 18, 824, 8331, 16, 15880, 4675, 13270, 30415, 1042, 262, 35150, 282, 6982, 1045, 360, 38121, 1192, 287, 426, 507, 1624, 2686, 2512, 492, 10490, 31191, 20726, 449, 1736, 301, 18, 2101, 582, 507, 575, 34116, 307, 26869, 300, 10490, 16, 515, 2552, 445, 16039, 14440, 3586, 16, 367, 2615, 697, 3800, 289, 4521, 31089, 48372, 18, 824, 8331, 16, 1717, 43078, 2101, 582, 267, 289, 685, 3818, 30343, 7739, 2409, 282, 24087, 30415, 1042, 262, 18, 640, 7256, 445, 34116, 307, 9733, 4424, 505, 35328, 272, 9587, 289, 309, 970, 30409, 281, 1335, 19968, 16, 1586, 18131, 975, 16, 9705, 16, 13225, 839, 2764, 18, 18720, 322, 1623, 27516, 896, 536, 16, 2686, 282, 16651, 35335, 1212, 2968, 3333, 14007, 1133, 12496, 382, 322, 18955, 289, 25312, 18828, 924, 4612, 16, 374, 6790, 1569, 294, 9671, 3756, 18328, 282, 4832, 486, 409, 18, 824, 8331, 16, 28024, 520, 34116, 307, 35328, 272, 9587, 21755, 651, 1215, 6548, 1247, 16, 14517, 16, 374, 4419, 978, 322, 14985, 2048, 7012, 18, 2101, 582, 267, 685, 26109, 2422, 282, 1949, 19084, 292, 651, 2865, 3002, 761, 473, 660, 18452, 16, 21, 8715, 13, 289, 2992, 2865, 3002, 761, 473, 10821, 8715, 5102, 1314, 16, 428, 289, 30415, 1042, 262, 16, 492, 1559, 31960, 16, 515, 282, 35328, 487, 322, 46661, 537, 7633, 18, 3747, 18042, 937, 289, 584, 7357, 47481, 1159, 6315, 1508, 1467, 4681, 473, 405, 2610, 272, 282, 5895, 1045, 7236, 16607, 1234, 20989, 282, 2865, 3002, 635, 32210, 934, 289, 25109, 13922, 288, 4276, 16, 289, 10490, 30415, 1042, 262, 18, 3397, 2101, 582, 267, 1623, 9019, 1313, 589, 1305, 2422, 282, 5572, 21687, 402, 1555, 32210, 473, 660, 19595, 16, 25, 8715, 13, 334, 7475, 1234, 40344, 16, 282, 2089, 36315, 492, 5264, 1011, 33146, 1672, 4968, 281, 30415, 1042, 262, 349, 14007, 778, 4437, 282, 9044, 519, 19856, 16, 27, 8715, 18, 740, 1717, 282, 21687, 402, 1555, 32210, 8192, 289, 697, 6940, 30639, 18, 7200, 3800, 1251, 30415, 1042, 262, 289, 2101, 582, 3032, 6382, 282, 7520, 1045, 16, 289, 1655, 309, 568, 272, 898, 10553, 1018, 334, 834, 440, 2078, 1234, 20989, 473, 406, 14206, 2101, 582, 267, 13, 289, 33599, 42, 473, 672, 333, 1042, 262, 13, 282, 9044, 519, 18452, 16, 21, 8715, 18, 365, 5572, 36493, 2101, 582, 267, 10490, 24510, 282, 284, 368, 347, 44639, 16, 515, 282, 6031, 10587, 47086, 2795, 3800, 289, 33368, 11120, 1912, 20237, 2169, 18, 18720, 685, 14449, 537, 2607, 536, 16, 1830, 726, 1655, 3333, 5780, 16, 374, 322, 25469, 2101, 582, 267, 1472, 1548, 16, 374, 764, 5195, 2319, 31685, 12320, 16, 828, 30415, 1042, 262, 18, 7409, 30639, 12665, 282, 5049, 1045, 16, 289, 30415, 1042, 262, 21035, 36747, 536, 14620, 19142, 281, 939, 18627, 37751, 18, 18720, 6382, 726, 282, 9044, 19670, 8715, 16, 289, 34143, 2195, 16607, 1234, 11539, 16, 8380, 1779, 2101, 582, 1508, 18, 2101, 582, 267, 3424, 1413, 16295, 282, 284, 368, 347, 44639, 16, 515, 42655, 11294, 293, 12285, 1159, 4443, 29135, 16, 374, 2504, 2512, 322, 18701, 34116, 307, 34528, 17450, 25984, 978, 4968, 18, 7100, 16, 282, 12838, 4440, 779, 1272, 47734, 16, 515, 9478, 7677, 9500, 29314, 21755, 282, 970, 575, 4832, 486, 409, 473, 49600, 8056, 289, 475, 1421, 697, 19163, 4968, 13, 38346, 326, 16607, 282, 21687, 402, 1555, 32210, 473, 660, 19856, 16, 27, 8715, 13, 334, 7475, 1234, 40344, 16, 1029, 24086, 30415, 1042, 262, 18, 17135, 1157, 17556, 16, 374, 697, 2205, 322, 840, 33996, 41625, 2668, 354, 473, 12695, 16, 23, 8715, 814, 824, 1216, 6088, 329, 30415, 1042, 262, 16, 1830, 1176, 17771, 269, 289, 9327, 13514, 957, 16, 367, 6501, 1811, 30302, 8955, 11294, 293, 12285, 1159, 18, 985, 481, 13037, 5106, 16, 282, 7204, 1750, 835, 685, 1500, 17771, 269, 16, 1029, 7236, 8955, 2101, 582, 1508, 16, 515, 505, 309, 3800, 322, 25732, 18, 18720, 685, 13334, 478, 844, 3464, 304, 779, 910, 289, 41014, 30415, 1042, 262, 8249, 41930, 2082, 18, 3557, 1033, 374, 289, 5421, 3800, 16, 726, 281, 11090, 345, 37339, 326, 16, 492, 16, 428, 5658, 17771, 394, 16, 25469, 16, 1830, 1373, 3226, 575, 475, 639, 6891, 18, 996, 374, 7835, 9078, 1190, 14352, 303, 48538, 2739, 30415, 1042, 262, 5304, 16, 1472, 35328, 48744, 13850, 2101, 582, 507, 289, 16, 6709, 16, 7835, 4233, 275, 924, 309, 22893, 18, 967, 803, 4722, 445, 30415, 1042, 262, 2657, 5077, 21755, 282, 35328, 487, 1421, 281, 16401, 779, 2158, 16, 289, 481, 685, 26483, 382, 47462, 2467, 1624, 329, 2024, 726, 898, 14440, 10855, 1844, 3714, 507, 16, 4726, 322, 4153, 8931, 839, 281, 34099, 27670, 18, 996, 374, 2271, 3626, 16410, 1195, 2101, 582, 3032, 541, 30415, 1042, 262, 935, 19079, 16, 828, 10553, 1018, 30, 492, 685, 26109, 2422, 282 ]
[ 6566, 2205, 1385, 19084, 292, 289, 6769, 764, 12845, 1851, 17, 1796, 4437, 18, 34116, 307, 44612, 939, 8249, 16, 290, 828, 2548, 289, 505, 9680, 17307, 488, 5675, 610, 18, 478, 4348, 21038, 35328, 272, 9587, 505, 16, 510, 15875, 5675, 819, 24409, 37016, 18, 510, 832, 3684, 16, 374, 2101, 582, 267, 26390, 281, 34116, 307, 282, 505, 20265, 1027, 5492, 18, 629, 3684, 16, 374, 1314, 492, 2397, 1500, 15285, 16, 1029, 5195, 3255, 18, 817, 2846, 4570, 2657, 5077, 282, 284, 368, 347, 1152, 27675, 21712, 17, 3533, 26156, 291, 861, 889, 11661, 289, 583, 34116, 307, 16, 1029, 1109, 309, 3781, 17, 19858, 1188, 38611, 16, 374, 44612, 5848, 939, 14377, 451, 3800, 289, 481, 895, 4366, 975, 478, 6781, 11455, 470, 21755, 18, 478, 6161, 912, 2678, 2048, 3800, 8030, 16, 2006, 373, 1450, 322, 10230, 5433, 510, 2363, 30415, 1042, 262, 18, 11333, 7036, 289, 14326, 4664, 942, 5298, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 5251, 1918, 478, 1182, 370, 16892, 286, 268, 962, 17, 11622, 470, 421, 896, 3378, 1383, 264, 20836, 32066, 10498, 423, 297, 3313, 642, 566, 454, 7070, 365, 4013, 275, 599, 274, 16, 2236, 411, 3322, 11241, 282, 2968, 29802, 19476, 16, 510, 28032, 18439, 16, 32515, 773, 282, 17004, 443, 45729, 6206, 567, 808, 1354, 282, 6835, 17, 17553, 18, 31224, 30, 9676, 1536, 4538, 16, 7070, 365, 4013, 275, 4013, 322, 7693, 16, 1830, 282, 11238, 17, 292, 289, 16647, 282, 25886, 14494, 4889, 7701, 707, 1974, 3478, 4496, 40877, 27613, 11934, 8497, 17, 292, 40266, 13224, 1484, 289, 688, 17028, 459, 1024, 272, 510, 697, 1320, 942, 4976, 309, 31983, 17, 38114, 933, 9033, 1165, 1974, 281, 4778, 11206, 15781, 18, 4794, 8234, 898, 21954, 1655, 16, 785, 7070, 365, 4013, 275, 4013, 764, 322, 12875, 3064, 1974, 281, 20158, 321, 11502, 289, 744, 9561, 1305, 20556, 32689, 282, 5492, 4866, 21155, 38941, 282, 25886, 1153, 294, 14557, 1703, 2117, 277, 5049, 779, 18, 3739, 519, 924, 16, 428, 492, 282, 5021, 17, 277, 44976, 309, 3177, 3614, 11875, 16279, 2783, 20499, 289, 10140, 16, 12343, 567, 808, 35285, 5049, 779, 16, 290, 828, 7064, 11612, 23783, 576, 26559, 18, 17791, 16, 1717, 1011, 978, 14831, 7070, 365, 4013, 275, 599, 274, 16, 309, 1029, 12106, 9106, 857, 693, 2634, 1135, 16, 289, 685, 26357, 19796, 18, 459, 519, 22511, 23536, 16248, 15781, 282, 18816, 890, 263, 16, 309, 2486, 492, 2715, 1197, 18906, 1398, 17, 3258, 375, 3276, 19808, 651, 1001, 620, 309, 1992, 2309, 281, 40395, 289, 351, 1082, 18, 6422, 16, 22731, 343, 16248, 906, 505, 5216, 17965, 536, 13071, 473, 324, 1047, 7070, 365, 4013, 275, 599, 274, 12879, 1154, 8385, 290, 970, 16, 428, 8060, 12805, 5721, 6873, 5039, 20402, 23949, 508, 16431, 289, 29203, 914, 1360, 25947, 282, 15449, 814, 459, 867, 1033, 519, 24164, 289, 36013, 282, 12335, 4440, 779, 30, 505, 1655, 2797, 3264, 1166, 6459, 281, 23137, 2868, 16, 1011, 1660, 30186, 16, 4092, 659, 32846, 8362, 16, 10919, 7337, 289, 5245, 14831, 18, 403, 2856, 5651, 1444, 12808, 6520, 16, 6170, 440, 2895, 552, 16, 734, 915, 1496, 440, 1100, 16, 5480, 3033, 4011, 373, 322, 4247, 3361, 8234, 16, 32515, 749, 16002, 1939, 986, 2158, 16465, 16177, 2368, 41974, 17, 677, 8632, 14364, 18, 1606, 411, 2107, 1354, 510, 11071, 18970, 289, 334, 8823, 294, 28036, 16, 289, 334, 8823, 294, 11129, 27613, 1354, 18, 2706, 17, 7745, 7070, 365, 4013, 275, 4013, 12985, 11497, 990, 23577, 281, 2555, 3607, 2661, 289, 282, 6409, 20835, 16, 374, 505, 8232, 15290, 38438, 42235, 18, 985, 1715, 8502, 17053, 473, 356, 16647, 282, 14104, 707, 19213, 4874, 2612, 267, 934, 12254, 937, 309, 1805, 282, 17494, 297, 2516, 1165, 16, 49028, 334, 9380, 2078, 16, 9033, 709, 2406, 281, 32830, 1701, 298, 496, 24934, 292, 1869, 16, 2079, 24331, 334, 18544, 289, 3942, 282, 49772, 12537, 582, 281, 11206, 18, 385, 966, 382, 1552, 887, 334, 18186, 16, 367, 13228, 898, 309, 7252, 30648, 510, 8887, 502, 18804, 6722, 17, 328, 312, 513, 2607, 309, 48697, 6835, 17, 29596, 16, 36162, 282, 1376, 390, 1941, 329, 47779, 12383, 19398, 4083, 1932, 1940, 432, 5642, 16, 497, 5261, 1642, 4431, 670, 17115, 13279, 378, 5437, 17, 27475, 264, 18, 439, 1588, 827, 492, 1413, 16295, 282, 25857, 329, 14241, 3918, 2773, 33249, 288, 21145, 1624, 281, 3279, 19288, 811, 16, 670, 685, 28631, 11741, 1015, 382, 281, 31775, 282, 5990, 293, 38073, 17, 328, 21508, 16, 502, 27341, 1413, 25177, 867, 1033, 7089, 18, 365, 1851, 17, 299, 2083, 3073, 16, 374, 27341, 2756, 367, 80, 1084, 1057, 19135, 7070, 365, 4013, 275, 599, 274, 16, 505, 6776, 416, 1686, 27192, 670, 12584, 536, 9945, 41097, 23516, 6839, 5771, 12472, 298, 20994, 18, 740, 16, 9956, 334, 2202, 1433, 7070, 365, 4013, 275, 599, 274, 282, 27561, 281, 15690, 3032, 17, 1140, 526, 312, 3792, 1367, 49781, 16, 481, 4521, 322, 639, 3435, 4946, 8485, 355, 18, 478, 6039, 10243, 282, 2343, 10423, 17, 292, 282, 6835, 17, 17553, 16, 785, 417, 9473, 360, 24069, 18, 365, 3609, 263, 639, 7431, 3610, 19476, 282, 502, 808, 16, 281, 27733, 8676, 1034, 9445, 2368, 289, 311, 18, 279, 18, 629, 13558, 309, 12037, 46346, 334, 1514, 15149, 2078, 289, 7750, 16, 374, 329, 703, 1003, 20163, 18, 2876, 417, 2780, 17666, 18, 629, 8164, 1269, 43517, 510, 5600, 16, 282, 5344, 18374, 17, 46796, 18, 629, 935, 322, 47291, 697, 18, 817, 6933, 282, 6835, 17, 17553, 16, 785, 417, 5264, 282, 25886, 375, 18, 629, 28748, 697, 4705, 986, 6396, 18, 23104, 2771, 1519, 651, 481, 639, 428, 17118, 18, 889, 4362, 6906, 1315, 861, 632, 45512, 453, 16, 374, 14255, 294, 40062, 552, 2438, 541, 15781, 19808, 27335, 289, 4933, 4176, 979, 18, 832, 1961, 806, 4490, 8040, 6773, 16, 23952, 451, 16463, 411, 5544, 2634, 43517, 16, 4705, 986, 6396, 8418, 1545, 282, 9807, 4413, 16, 1559, 541, 7070, 365, 4013, 275, 599, 274, 7150, 10450, 7621, 957, 478, 12427, 280, 1378, 7868, 470, 510, 45668, 488, 17, 5983, 4868, 16, 15470, 1082, 6705, 16, 2486, 726, 8471, 7369, 1116, 289, 30102, 16, 2521, 4524, 10142, 549, 8499, 18, 48782, 6771, 541, 15781, 16, 1029, 4360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6566, 2205, 1385, 19084, 292, 289, 6769, 764, 12845, 1851, 17, 1796, 4437, 18, 34116, 307, 44612, 939, 8249, 16, 290, 828, 2548, 289, 505, 9680, 17307, 488, 5675, 610, 18, 478, 4348, 21038, 35328, 272, 9587, 505, 16, 510, 15875, 5675, 819, 24409, 37016, 18, 510, 832, 3684, 16, 374, 2101, 582, 267, 26390, 281, 34116, 307, 282, 505, 20265, 1027, 5492, 18, 629, 3684, 16, 374, 1314, 492, 2397, 1500, 15285, 16, 1029, 5195, 3255, 18, 817, 2846, 4570, 2657, 5077, 282, 284, 368, 347, 1152, 27675, 21712, 17, 3533, 26156, 291, 861, 889, 11661, 289, 583, 34116, 307, 16, 1029, 1109, 309, 3781, 17, 19858, 1188, 38611, 16, 374, 44612, 5848, 939, 14377, 451, 3800, 289, 481, 895, 4366, 975, 478, 6781, 11455, 470, 21755, 18, 478, 6161, 912, 2678, 2048, 3800, 8030, 16, 2006, 373, 1450, 322, 10230, 5433, 510, 2363, 30415, 1042, 262, 18, 11333, 7036, 289, 14326, 4664, 942, 5298, 309, 7759, 3714, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 5251, 1918, 478, 1182, 370, 16892, 286, 268, 962, 17, 11622, 470, 421, 896, 3378, 1383, 264, 20836, 32066, 10498, 423, 297, 3313, 642, 566, 454, 7070, 365, 4013, 275, 599, 274, 16, 2236, 411, 3322, 11241, 282, 2968, 29802, 19476, 16, 510, 28032, 18439, 16, 32515, 773, 282, 17004, 443, 45729, 6206, 567, 808, 1354, 282, 6835, 17, 17553, 18, 31224, 30, 9676, 1536, 4538, 16, 7070, 365, 4013, 275, 4013, 322, 7693, 16, 1830, 282, 11238, 17, 292, 289, 16647, 282, 25886, 14494, 4889, 7701, 707, 1974, 3478, 4496, 40877, 27613, 11934, 8497, 17, 292, 40266, 13224, 1484, 289, 688, 17028, 459, 1024, 272, 510, 697, 1320, 942, 4976, 309, 31983, 17, 38114, 933, 9033, 1165, 1974, 281, 4778, 11206, 15781, 18, 4794, 8234, 898, 21954, 1655, 16, 785, 7070, 365, 4013, 275, 4013, 764, 322, 12875, 3064, 1974, 281, 20158, 321, 11502, 289, 744, 9561, 1305, 20556, 32689, 282, 5492, 4866, 21155, 38941, 282, 25886, 1153, 294, 14557, 1703, 2117, 277, 5049, 779, 18, 3739, 519, 924, 16, 428, 492, 282, 5021, 17, 277, 44976, 309, 3177, 3614, 11875, 16279, 2783, 20499, 289, 10140, 16, 12343, 567, 808, 35285, 5049, 779, 16, 290, 828, 7064, 11612, 23783, 576, 26559, 18, 17791, 16, 1717, 1011, 978, 14831, 7070, 365, 4013, 275, 599, 274, 16, 309, 1029, 12106, 9106, 857, 693, 2634, 1135, 16, 289, 685, 26357, 19796, 18, 459, 519, 22511, 23536, 16248, 15781, 282, 18816, 890, 263, 16, 309, 2486, 492, 2715, 1197, 18906, 1398, 17, 3258, 375, 3276, 19808, 651, 1001, 620, 309, 1992, 2309, 281, 40395, 289, 351, 1082, 18, 6422, 16, 22731, 343, 16248, 906, 505, 5216, 17965, 536, 13071, 473, 324, 1047, 7070, 365, 4013, 275, 599, 274, 12879, 1154, 8385, 290, 970, 16, 428, 8060, 12805, 5721, 6873, 5039, 20402, 23949, 508, 16431, 289, 29203, 914, 1360, 25947, 282, 15449, 814, 459, 867, 1033, 519, 24164, 289, 36013, 282, 12335, 4440, 779, 30, 505, 1655, 2797, 3264, 1166, 6459, 281, 23137, 2868, 16, 1011, 1660, 30186, 16, 4092, 659, 32846, 8362, 16, 10919, 7337, 289, 5245, 14831, 18, 403, 2856, 5651, 1444, 12808, 6520, 16, 6170, 440, 2895, 552, 16, 734, 915, 1496, 440, 1100, 16, 5480, 3033, 4011, 373, 322, 4247, 3361, 8234, 16, 32515, 749, 16002, 1939, 986, 2158, 16465, 16177, 2368, 41974, 17, 677, 8632, 14364, 18, 1606, 411, 2107, 1354, 510, 11071, 18970, 289, 334, 8823, 294, 28036, 16, 289, 334, 8823, 294, 11129, 27613, 1354, 18, 2706, 17, 7745, 7070, 365, 4013, 275, 4013, 12985, 11497, 990, 23577, 281, 2555, 3607, 2661, 289, 282, 6409, 20835, 16, 374, 505, 8232, 15290, 38438, 42235, 18, 985, 1715, 8502, 17053, 473, 356, 16647, 282, 14104, 707, 19213, 4874, 2612, 267, 934, 12254, 937, 309, 1805, 282, 17494, 297, 2516, 1165, 16, 49028, 334, 9380, 2078, 16, 9033, 709, 2406, 281, 32830, 1701, 298, 496, 24934, 292, 1869, 16, 2079, 24331, 334, 18544, 289, 3942, 282, 49772, 12537, 582, 281, 11206, 18, 385, 966, 382, 1552, 887, 334, 18186, 16, 367, 13228, 898, 309, 7252, 30648, 510, 8887, 502, 18804, 6722, 17, 328, 312, 513, 2607, 309, 48697, 6835, 17, 29596, 16, 36162, 282, 1376, 390, 1941, 329, 47779, 12383, 19398, 4083, 1932, 1940, 432, 5642, 16, 497, 5261, 1642, 4431, 670, 17115, 13279, 378, 5437, 17, 27475, 264, 18, 439, 1588, 827, 492, 1413, 16295, 282, 25857, 329, 14241, 3918, 2773, 33249, 288, 21145, 1624, 281, 3279, 19288, 811, 16, 670, 685, 28631, 11741, 1015, 382, 281, 31775, 282, 5990, 293, 38073, 17, 328, 21508, 16, 502, 27341, 1413, 25177, 867, 1033, 7089, 18, 365, 1851, 17, 299, 2083, 3073, 16, 374, 27341, 2756, 367, 80, 1084, 1057, 19135, 7070, 365, 4013, 275, 599, 274, 16, 505, 6776, 416, 1686, 27192, 670, 12584, 536, 9945, 41097, 23516, 6839, 5771, 12472, 298, 20994, 18, 740, 16, 9956, 334, 2202, 1433, 7070, 365, 4013, 275, 599, 274, 282, 27561, 281, 15690, 3032, 17, 1140, 526, 312, 3792, 1367, 49781, 16, 481, 4521, 322, 639, 3435, 4946, 8485, 355, 18, 478, 6039, 10243, 282, 2343, 10423, 17, 292, 282, 6835, 17, 17553, 16, 785, 417, 9473, 360, 24069, 18, 365, 3609, 263, 639, 7431, 3610, 19476, 282, 502, 808, 16, 281, 27733, 8676, 1034, 9445, 2368, 289, 311, 18, 279, 18, 629, 13558, 309, 12037, 46346, 334, 1514, 15149, 2078, 289, 7750, 16, 374, 329, 703, 1003, 20163, 18, 2876, 417, 2780, 17666, 18, 629, 8164, 1269, 43517, 510, 5600, 16, 282, 5344, 18374, 17, 46796, 18, 629, 935, 322, 47291, 697, 18, 817, 6933, 282, 6835, 17, 17553, 16, 785, 417, 5264, 282, 25886, 375, 18, 629, 28748, 697, 4705, 986, 6396, 18, 23104, 2771, 1519, 651, 481, 639, 428, 17118, 18, 889, 4362, 6906, 1315, 861, 632, 45512, 453, 16, 374, 14255, 294, 40062, 552, 2438, 541, 15781, 19808, 27335, 289, 4933, 4176, 979, 18, 832, 1961, 806, 4490, 8040, 6773, 16, 23952, 451, 16463, 411, 5544, 2634, 43517, 16, 4705, 986, 6396, 8418, 1545, 282, 9807, 4413, 16, 1559, 541, 7070, 365, 4013, 275, 599, 274, 7150, 10450, 7621, 957, 478, 12427, 280, 1378, 7868, 470, 510, 45668, 488, 17, 5983, 4868, 16, 15470, 1082, 6705, 16, 2486, 726, 8471, 7369, 1116, 289, 30102, 16, 2521, 4524, 10142, 549, 8499, 18, 48782, 6771, 541, 15781, 16, 1029, 4360 ]
[ 6125, 1728, 5064, 581, 347, 5952, 778, 1128, 20196, 16, 988, 475, 49008, 18, 7603, 1520, 382, 289, 32372, 1018, 343, 1815, 309, 23771, 33336, 4620, 16, 17375, 49874, 285, 282, 13807, 424, 301, 2042, 7478, 289, 10700, 17, 8595, 1577, 281, 4866, 19090, 5908, 761, 309, 4822, 16, 26360, 37701, 282, 26077, 7994, 309, 27803, 547, 984, 4695, 21385, 11078, 779, 289, 8282, 10533, 12475, 282, 25857, 329, 10140, 18, 3557, 322, 2619, 282, 428, 3822, 262, 750, 15952, 29314, 25466, 16, 360, 9302, 266, 5856, 7070, 365, 4013, 275, 599, 339, 282, 8311, 17, 277, 541, 31718, 1941, 38532, 16, 16701, 3236, 29587, 918, 16, 2196, 19285, 14823, 2701, 343, 1231, 416, 19089, 281, 1276, 1082, 5928, 434, 12138, 18, 1598, 3322, 4903, 432, 651, 26682, 15719, 23633, 831, 12653, 669, 324, 16, 48393, 411, 18779, 10217, 40101, 382, 16, 281, 38641, 10112, 4226, 33586, 2576, 382, 723, 49307, 1602, 425, 289, 478, 420, 330, 3055, 470, 12808, 2959, 16, 15213, 15454, 617, 289, 1375, 6952, 15781, 651, 19074, 7070, 365, 4013, 275, 599, 274, 37030, 4694, 8095, 617, 16, 6281, 309, 10343, 11594, 726, 282, 1335, 3705, 4726, 16701, 1812, 18, 740, 16, 2091, 16, 764, 19079, 7896, 1334, 343, 281, 505, 38781, 1809, 2276, 300, 379, 2206, 282, 5154, 5745, 547, 6900, 24536, 266, 17, 4041, 423, 265, 478, 23134, 798, 37488, 404, 12645, 470, 473, 15853, 814, 21774, 915, 1505, 38641, 1645, 16, 7089, 16, 1320, 360, 2945, 414, 294, 12653, 301, 5123, 473, 273, 505, 6302, 717, 1876, 19730, 16, 1692, 6279, 411, 6543, 14693, 934, 289, 294, 27613, 10825, 4981, 2754, 3181, 1081, 8896, 19954, 30, 3417, 5752, 38641, 3209, 898, 21954, 289, 38315, 10197, 27297, 44795, 2236, 411, 21015, 973, 38591, 1385, 27770, 309, 15956, 11612, 18, 740, 38641, 1645, 4226, 43257, 27806, 651, 481, 16, 8507, 16, 289, 6509, 2110, 360, 2945, 294, 8540, 478, 21639, 416, 9377, 861, 1787, 15781, 678, 13284, 322, 30163, 13818, 13320, 30, 505, 3809, 16, 939, 10193, 14175, 7070, 1312, 375, 16, 10598, 2024, 3365, 2552, 33863, 5993, 742, 16, 282, 13787, 17, 263, 6382, 1248, 10910, 448, 952, 4141, 454, 553, 39429, 4596, 296, 2506, 16, 1293, 445, 6274, 30409, 281, 1807, 16, 685, 2055, 1822, 309, 5211, 1974, 281, 18283, 18, 2681, 282, 8151, 11238, 17, 292, 492, 1974, 281, 10092, 289, 14049, 685, 16104, 345, 1390, 289, 2564, 6273, 282, 25886, 375, 18, 6831, 1888, 13624, 541, 14443, 7070, 365, 4013, 275, 599, 274, 867, 4765, 16400, 289, 16101, 18, 640, 2059, 411, 18439, 33974, 8078, 15823, 7907, 4811, 282, 6835, 17, 17553, 30, 309, 2059, 5939, 12283, 839, 44276, 36632, 28987, 1275, 282, 4326, 2662, 16, 22007, 309, 2533, 567, 808, 1197, 324, 1909, 16, 309, 2107, 651, 11707, 38449, 16, 41986, 1733, 309, 1129, 281, 37994, 1406, 18096, 987, 1330, 12928, 18, 1268, 283, 2289, 5768, 289, 15115, 3173, 16, 20378, 12218, 289, 3868, 662, 651, 541, 7070, 365, 4013, 275, 599, 274, 481, 322, 687, 1247, 10343, 419, 6120, 16, 515, 3229, 1223, 12798, 9773, 18, 832, 9375, 492, 309, 20109, 451, 26370, 17, 46045, 277, 478, 822, 5927, 1778, 470, 282, 4301, 5115, 478, 45176, 343, 470, 8418, 282, 23436, 44860, 388, 3417, 21, 6081, 613, 651, 281, 7077, 26811, 17570, 7195, 1082, 16, 282, 773, 575, 37146, 416, 16776, 18, 439, 15186, 289, 3417, 21, 13045, 541, 1129, 13899, 24893, 1312, 375, 18, 459, 20132, 37046, 16, 289, 13386, 38449, 473, 296, 2315, 10093, 411, 1639, 1844, 978, 5115, 322, 3516, 751, 373, 2915, 14510, 1681, 404, 24833, 416, 13, 445, 3491, 751, 334, 44860, 3051, 16, 44057, 733, 265, 1164, 309, 3048, 668, 4789, 2127, 1805, 289, 15788, 3354, 269, 297, 2477, 473, 264, 518, 16, 282, 1423, 3678, 16, 322, 2619, 22196, 12791, 41986, 326, 309, 1129, 814, 12660, 4538, 16, 7070, 365, 4013, 275, 4013, 478, 28545, 470, 322, 281, 24191, 670, 30860, 16, 935, 322, 281, 9776, 355, 18439, 670, 2100, 3822, 696, 12915, 18, 2320, 34063, 1805, 428, 8720, 541, 7541, 289, 13325, 428, 1480, 1354, 18, 365, 803, 32505, 942, 4976, 17355, 13371, 4640, 488, 21456, 37762, 16, 367, 942, 651, 12432, 4998, 44311, 15781, 18, 985, 537, 7322, 16, 1177, 5248, 26608, 289, 17485, 451, 699, 388, 19751, 16, 42896, 8323, 345, 2234, 5222, 16, 1029, 1559, 9600, 33045, 10035, 32530, 16, 28311, 1788, 39793, 3149, 294, 30613, 18, 478, 10245, 7327, 564, 281, 24531, 651, 481, 4650, 549, 7865, 18, 985, 45073, 1577, 16, 387, 1494, 2301, 27517, 18, 44730, 895, 953, 4170, 14590, 416, 670, 25125, 3276, 28106, 13899, 3059, 277, 1996, 324, 18, 740, 3684, 16, 282, 6449, 1750, 387, 2301, 722, 18, 385, 2375, 1063, 481, 670, 1003, 16, 515, 387, 1494, 3067, 4942, 14923, 649, 1728, 5064, 23908, 281, 1420, 18, 439, 481, 6411, 37143, 1360, 3779, 617, 4310, 18, 889, 1139, 2874, 2644, 861, 10538, 16, 481, 7457, 18590, 35, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 478, 13467, 470, 34102, 4440, 1205, 5157, 979, 282, 23147, 3899, 800, 360, 478, 19386, 7618, 861, 19770, 3583, 10490, 334, 8954, 7977, 6984, 16432, 282, 1871, 15277, 919, 16, 10078, 17, 8216, 1116, 14985, 1472, 5009, 4138, 13303, 2235, 18, 31224, 30, 677, 5897, 13882, 8267, 4440, 779, 478, 13467, 470, 309, 36934, 25469, 478, 19386, 7618, 861, 2112, 27437, 282, 12013, 16, 41282, 48976, 46874, 27304, 2959, 16, 478, 13467, 470, 289, 478, 19386, 23987, 470, 19521, 19311, 13939, 16287, 281, 28121, 289, 10836, 575, 7739, 3317, 18, 23979, 5823, 3147, 26515, 23728, 18, 365, 16702, 281, 478, 780, 24361, 761, 910, 478, 4298, 297, 932, 470, 289, 478, 618, 1736, 4640, 3663, 470, 6717, 3899, 30716, 8074, 326, 2846, 26654, 16, 367, 29098, 447, 651, 1421, 18, 967, 803, 329, 478, 19386, 7618, 470, 18795, 3860, 281, 5514, 323, 651, 1011, 37253, 282, 5572, 29235, 282, 8267, 281, 478, 780, 24361, 761, 470, 428, 11274, 576, 18, 44146, 1195, 478, 4298, 297, 932, 470, 906, 5662, 354, 1472, 282, 7756, 28940, 326, 712, 16, 367, 282, 23975, 808, 28929, 1593, 453, 289, 322, 11152, 18, 996, 982, 40169, 14153, 7857, 513, 5881, 46296, 49564, 282, 497, 4642, 19410, 16, 5505, 10551, 4024, 6816, 28265, 7408, 18, 9570, 478, 324, 28403, 470, 8782, 27420, 9829, 2839, 466, 31322, 1624, 834, 32566 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6125, 1728, 5064, 581, 347, 5952, 778, 1128, 20196, 16, 988, 475, 49008, 18, 7603, 1520, 382, 289, 32372, 1018, 343, 1815, 309, 23771, 33336, 4620, 16, 17375, 49874, 285, 282, 13807, 424, 301, 2042, 7478, 289, 10700, 17, 8595, 1577, 281, 4866, 19090, 5908, 761, 309, 4822, 16, 26360, 37701, 282, 26077, 7994, 309, 27803, 547, 984, 4695, 21385, 11078, 779, 289, 8282, 10533, 12475, 282, 25857, 329, 10140, 18, 3557, 322, 2619, 282, 428, 3822, 262, 750, 15952, 29314, 25466, 16, 360, 9302, 266, 5856, 7070, 365, 4013, 275, 599, 339, 282, 8311, 17, 277, 541, 31718, 1941, 38532, 16, 16701, 3236, 29587, 918, 16, 2196, 19285, 14823, 2701, 343, 1231, 416, 19089, 281, 1276, 1082, 5928, 434, 12138, 18, 1598, 3322, 4903, 432, 651, 26682, 15719, 23633, 831, 12653, 669, 324, 16, 48393, 411, 18779, 10217, 40101, 382, 16, 281, 38641, 10112, 4226, 33586, 2576, 382, 723, 49307, 1602, 425, 289, 478, 420, 330, 3055, 470, 12808, 2959, 16, 15213, 15454, 617, 289, 1375, 6952, 15781, 651, 19074, 7070, 365, 4013, 275, 599, 274, 37030, 4694, 8095, 617, 16, 6281, 309, 10343, 11594, 726, 282, 1335, 3705, 4726, 16701, 1812, 18, 740, 16, 2091, 16, 764, 19079, 7896, 1334, 343, 281, 505, 38781, 1809, 2276, 300, 379, 2206, 282, 5154, 5745, 547, 6900, 24536, 266, 17, 4041, 423, 265, 478, 23134, 798, 37488, 404, 12645, 470, 473, 15853, 814, 21774, 915, 1505, 38641, 1645, 16, 7089, 16, 1320, 360, 2945, 414, 294, 12653, 301, 5123, 473, 273, 505, 6302, 717, 1876, 19730, 16, 1692, 6279, 411, 6543, 14693, 934, 289, 294, 27613, 10825, 4981, 2754, 3181, 1081, 8896, 19954, 30, 3417, 5752, 38641, 3209, 898, 21954, 289, 38315, 10197, 27297, 44795, 2236, 411, 21015, 973, 38591, 1385, 27770, 309, 15956, 11612, 18, 740, 38641, 1645, 4226, 43257, 27806, 651, 481, 16, 8507, 16, 289, 6509, 2110, 360, 2945, 294, 8540, 478, 21639, 416, 9377, 861, 1787, 15781, 678, 13284, 322, 30163, 13818, 13320, 30, 505, 3809, 16, 939, 10193, 14175, 7070, 1312, 375, 16, 10598, 2024, 3365, 2552, 33863, 5993, 742, 16, 282, 13787, 17, 263, 6382, 1248, 10910, 448, 952, 4141, 454, 553, 39429, 4596, 296, 2506, 16, 1293, 445, 6274, 30409, 281, 1807, 16, 685, 2055, 1822, 309, 5211, 1974, 281, 18283, 18, 2681, 282, 8151, 11238, 17, 292, 492, 1974, 281, 10092, 289, 14049, 685, 16104, 345, 1390, 289, 2564, 6273, 282, 25886, 375, 18, 6831, 1888, 13624, 541, 14443, 7070, 365, 4013, 275, 599, 274, 867, 4765, 16400, 289, 16101, 18, 640, 2059, 411, 18439, 33974, 8078, 15823, 7907, 4811, 282, 6835, 17, 17553, 30, 309, 2059, 5939, 12283, 839, 44276, 36632, 28987, 1275, 282, 4326, 2662, 16, 22007, 309, 2533, 567, 808, 1197, 324, 1909, 16, 309, 2107, 651, 11707, 38449, 16, 41986, 1733, 309, 1129, 281, 37994, 1406, 18096, 987, 1330, 12928, 18, 1268, 283, 2289, 5768, 289, 15115, 3173, 16, 20378, 12218, 289, 3868, 662, 651, 541, 7070, 365, 4013, 275, 599, 274, 481, 322, 687, 1247, 10343, 419, 6120, 16, 515, 3229, 1223, 12798, 9773, 18, 832, 9375, 492, 309, 20109, 451, 26370, 17, 46045, 277, 478, 822, 5927, 1778, 470, 282, 4301, 5115, 478, 45176, 343, 470, 8418, 282, 23436, 44860, 388, 3417, 21, 6081, 613, 651, 281, 7077, 26811, 17570, 7195, 1082, 16, 282, 773, 575, 37146, 416, 16776, 18, 439, 15186, 289, 3417, 21, 13045, 541, 1129, 13899, 24893, 1312, 375, 18, 459, 20132, 37046, 16, 289, 13386, 38449, 473, 296, 2315, 10093, 411, 1639, 1844, 978, 5115, 322, 3516, 751, 373, 2915, 14510, 1681, 404, 24833, 416, 13, 445, 3491, 751, 334, 44860, 3051, 16, 44057, 733, 265, 1164, 309, 3048, 668, 4789, 2127, 1805, 289, 15788, 3354, 269, 297, 2477, 473, 264, 518, 16, 282, 1423, 3678, 16, 322, 2619, 22196, 12791, 41986, 326, 309, 1129, 814, 12660, 4538, 16, 7070, 365, 4013, 275, 4013, 478, 28545, 470, 322, 281, 24191, 670, 30860, 16, 935, 322, 281, 9776, 355, 18439, 670, 2100, 3822, 696, 12915, 18, 2320, 34063, 1805, 428, 8720, 541, 7541, 289, 13325, 428, 1480, 1354, 18, 365, 803, 32505, 942, 4976, 17355, 13371, 4640, 488, 21456, 37762, 16, 367, 942, 651, 12432, 4998, 44311, 15781, 18, 985, 537, 7322, 16, 1177, 5248, 26608, 289, 17485, 451, 699, 388, 19751, 16, 42896, 8323, 345, 2234, 5222, 16, 1029, 1559, 9600, 33045, 10035, 32530, 16, 28311, 1788, 39793, 3149, 294, 30613, 18, 478, 10245, 7327, 564, 281, 24531, 651, 481, 4650, 549, 7865, 18, 985, 45073, 1577, 16, 387, 1494, 2301, 27517, 18, 44730, 895, 953, 4170, 14590, 416, 670, 25125, 3276, 28106, 13899, 3059, 277, 1996, 324, 18, 740, 3684, 16, 282, 6449, 1750, 387, 2301, 722, 18, 385, 2375, 1063, 481, 670, 1003, 16, 515, 387, 1494, 3067, 4942, 14923, 649, 1728, 5064, 23908, 281, 1420, 18, 439, 481, 6411, 37143, 1360, 3779, 617, 4310, 18, 889, 1139, 2874, 2644, 861, 10538, 16, 481, 7457, 18590, 35, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 478, 13467, 470, 34102, 4440, 1205, 5157, 979, 282, 23147, 3899, 800, 360, 478, 19386, 7618, 861, 19770, 3583, 10490, 334, 8954, 7977, 6984, 16432, 282, 1871, 15277, 919, 16, 10078, 17, 8216, 1116, 14985, 1472, 5009, 4138, 13303, 2235, 18, 31224, 30, 677, 5897, 13882, 8267, 4440, 779, 478, 13467, 470, 309, 36934, 25469, 478, 19386, 7618, 861, 2112, 27437, 282, 12013, 16, 41282, 48976, 46874, 27304, 2959, 16, 478, 13467, 470, 289, 478, 19386, 23987, 470, 19521, 19311, 13939, 16287, 281, 28121, 289, 10836, 575, 7739, 3317, 18, 23979, 5823, 3147, 26515, 23728, 18, 365, 16702, 281, 478, 780, 24361, 761, 910, 478, 4298, 297, 932, 470, 289, 478, 618, 1736, 4640, 3663, 470, 6717, 3899, 30716, 8074, 326, 2846, 26654, 16, 367, 29098, 447, 651, 1421, 18, 967, 803, 329, 478, 19386, 7618, 470, 18795, 3860, 281, 5514, 323, 651, 1011, 37253, 282, 5572, 29235, 282, 8267, 281, 478, 780, 24361, 761, 470, 428, 11274, 576, 18, 44146, 1195, 478, 4298, 297, 932, 470, 906, 5662, 354, 1472, 282, 7756, 28940, 326, 712, 16, 367, 282, 23975, 808, 28929, 1593, 453, 289, 322, 11152, 18, 996, 982, 40169, 14153, 7857, 513, 5881, 46296, 49564, 282, 497, 4642, 19410, 16, 5505, 10551, 4024, 6816, 28265, 7408, 18, 9570, 478, 324, 28403, 470, 8782, 27420, 9829, 2839, 466, 31322, 1624, 834, 32566 ]
[ 1011, 17336, 18, 385, 12196, 291, 873, 575, 27454, 1166, 282, 21311, 43157, 12964, 16, 4813, 309, 13270, 360, 478, 47604, 486, 861, 11674, 17, 46796, 20539, 15415, 282, 965, 1011, 851, 1809, 16952, 18, 985, 4266, 2419, 16452, 32908, 16, 3655, 6548, 9680, 4944, 10411, 350, 5269, 15976, 19094, 349, 8616, 18, 365, 5271, 478, 28345, 470, 7134, 1833, 1272, 16632, 343, 18, 415, 313, 578, 862, 16, 374, 294, 2384, 1616, 478, 19386, 23987, 306, 470, 14828, 282, 7573, 25236, 6061, 3495, 616, 343, 1624, 515, 1307, 31763, 18172, 1280, 3174, 322, 639, 7045, 5941, 18, 640, 17032, 282, 478, 13467, 470, 411, 478, 14237, 818, 312, 470, 15732, 16095, 7720, 21515, 18, 5043, 16, 28910, 304, 282, 30166, 10434, 1542, 2117, 541, 1047, 322, 2756, 510, 7720, 21515, 8782, 27420, 349, 10078, 17, 44606, 11888, 779, 371, 35798, 466, 472, 675, 1484, 18, 439, 1215, 39914, 3720, 13678, 2279, 15464, 2615, 10133, 282, 15640, 423, 281, 3798, 5620, 18, 478, 13467, 470, 16833, 15477, 12968, 287, 365, 14933, 764, 519, 10411, 350, 5269, 16, 289, 40131, 4960, 272, 478, 992, 269, 277, 3174, 470, 3711, 34955, 1423, 35041, 622, 15324, 9680, 2818, 3040, 1219, 18, 34165, 12543, 281, 27580, 27675, 1243, 291, 613, 6816, 4727, 8053, 1624, 374, 26285, 50172, 17311, 16432, 282, 20330, 464, 18, 4541, 2117, 47086, 18756, 16, 13189, 898, 329, 12899, 3541, 16, 515, 23861, 25509, 1762, 11319, 18, 24846, 478, 19386, 23987, 470, 2742, 13316, 2666, 289, 11802, 2948, 18, 640, 2123, 17, 295, 3720, 24993, 22328, 3287, 411, 17, 431, 7889, 289, 2820, 7563, 282, 13757, 883, 6421, 18, 5333, 2175, 16, 9072, 3645, 336, 707, 1063, 3882, 6399, 478, 19386, 7618, 910, 1586, 50136, 1033, 4256, 2849, 291, 18, 2112, 1763, 331, 9439, 15277, 919, 15014, 2458, 29086, 764, 3521, 968, 16, 515, 4426, 35026, 31405, 272, 12437, 10078, 17, 8216, 1116, 3225, 7631, 309, 23511, 281, 46987, 13303, 12270, 18, 17580, 3425, 9601, 282, 970, 575, 9525, 18, 24899, 11364, 925, 5199, 282, 24163, 1207, 16, 367, 5957, 309, 22596, 454, 10556, 1051, 9031, 14179, 38495, 18, 967, 803, 5815, 10078, 17, 44606, 3619, 764, 289, 1533, 1879, 349, 322, 22528, 3179, 326, 307, 14570, 9704, 18, 385, 35962, 9868, 15014, 475, 575, 26450, 414, 22946, 18, 504, 648, 368, 2326, 1832, 2334, 403, 8466, 937, 379, 424, 1599, 364, 23613, 1845, 2446, 483, 18, 40788, 541, 27675, 1243, 291, 1275, 906, 5773, 1794, 648, 577, 416, 18, 3739, 5004, 2158, 7193, 478, 9129, 276, 293, 977, 470, 373, 16, 515, 309, 7256, 445, 3225, 3215, 2156, 3441, 46234, 8782, 18070, 18, 1312, 538, 5575, 17834, 10406, 7125, 40896, 31778, 756, 360, 41727, 5625, 18, 1895, 2110, 9700, 4093, 7163, 6730, 478, 13467, 470, 3619, 282, 2343, 10485, 30, 10078, 17, 46796, 36670, 7130, 6984, 8198, 3732, 16432, 282, 1272, 19574, 18, 740, 1329, 22188, 4446, 322, 12362, 651, 281, 4532, 18341, 11248, 329, 4966, 14440, 3860, 18, 365, 15301, 29235, 1595, 9700, 478, 31562, 309, 1421, 470, 7356, 478, 19386, 23987, 910, 515, 10230, 37116, 15014, 322, 21648, 18, 6682, 7130, 745, 5841, 2853, 334, 10717, 19668, 27675, 1243, 291, 1275, 16, 515, 31405, 272, 3949, 453, 289, 322, 1196, 925, 18, 39491, 2837, 16432, 282, 20545, 2296, 857, 1247, 290, 2566, 39850, 16980, 18, 740, 27675, 1243, 291, 873, 2419, 24937, 3457, 1190, 1805, 18, 2101, 4550, 2450, 507, 590, 948, 12463, 2823, 282, 8384, 309, 13150, 354, 4762, 289, 349, 3937, 5155, 7379, 282, 2641, 3551, 440, 2228, 295, 285, 707, 18, 9248, 333, 8249, 32655, 1423, 8616, 651, 505, 26314, 20256, 33598, 309, 2846, 7130, 36222, 18, 11849, 924, 753, 8782, 10654, 1954, 16, 10078, 17, 8216, 1116, 3711, 3196, 12271, 18, 9300, 277, 1398, 478, 13467, 470, 387, 41888, 651, 478, 19386, 23987, 470, 349, 7954, 726, 282, 22428, 9536, 292, 18, 24993, 3404, 478, 5286, 293, 516, 470, 22447, 411, 17, 431, 7889, 16, 289, 33056, 28911, 266, 42079, 281, 31811, 20010, 14070, 46234, 282, 42808, 18, 385, 12196, 291, 873, 16, 411, 1024, 28209, 22232, 282, 24163, 1207, 16, 281, 6097, 6525, 20240, 414, 35453, 4275, 49818, 13696, 18, 8615, 344, 13510, 857, 35520, 475, 924, 575, 20672, 401, 349, 16533, 349, 1871, 7130, 519, 18890, 10485, 18, 10411, 350, 5269, 1373, 575, 45227, 31405, 272, 3949, 309, 35743, 474, 13230, 16, 515, 2117, 478, 28345, 470, 282, 11063, 453, 289, 322, 10726, 2829, 18, 9570, 28748, 965, 25236, 6288, 8009, 33268, 1624, 275, 14763, 4267, 4744, 2557, 33450, 774, 382, 2314, 23014, 488, 1779, 3971, 15277, 636, 282, 35296, 3617, 454, 18, 740, 289, 481, 639, 764, 322, 475, 18, 999, 3103, 7264, 519, 3915, 2839, 466, 31322, 14384, 7782, 15138, 10808, 8999, 16, 349, 374, 17771, 394, 33988, 28940, 5700, 18, 1034, 464, 16698, 472, 545, 1447, 343, 10986, 36656, 36725, 6972, 368, 16, 281, 2067, 1485, 794, 36854, 46234, 424, 34874, 888, 18, 640, 14794, 10078, 17, 8216, 1116, 12694, 26188, 322, 11576, 1612, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 30145, 21404, 16, 290, 2114, 27173, 9440, 1952, 22059, 8241, 15474, 16, 367, 322, 2619, 27173, 6210, 1262, 25290, 7664, 3589, 3400, 6866, 16, 726, 309, 15592, 30, 334, 25036, 4729, 14971, 16, 294, 1939, 3161, 1045, 45504, 8070, 14476, 360, 10367, 519, 14953, 5752, 1135, 16, 367, 360, 1658, 519, 3610, 9, 1209, 4373, 24602, 41304, 1698, 36143, 726, 282, 13673, 1533, 986, 18, 4763, 1133, 19516, 16, 2686, 16, 2271, 4283, 16, 374, 5303, 10208, 8232, 322, 41500, 48258, 16, 367, 808, 7658, 11548, 18, 31224, 30, 677, 1175, 294, 1939, 3161, 1045, 895, 953, 29983, 7667, 2261, 9, 24602, 7898, 1801, 16, 5095, 26646, 282, 12125, 47, 410, 41406, 41057, 22303, 18, 889, 3230, 16, 828, 282, 11099, 334, 8290, 16, 515, 4803, 16, 828, 282, 3989, 37514, 7338, 18, 22209, 2394, 2625, 322, 18508, 1954, 39223, 18, 20440, 10201, 16, 374, 9874, 3531, 7435, 39720, 322, 687, 18465, 7043, 5197, 16, 515, 289, 20250, 3531, 14451, 2223, 18, 13353, 15058, 1270, 6958, 2110, 8275, 5197, 282, 1175, 651, 282, 3507, 16, 2891, 1754, 16074, 3236, 23905, 294, 34042, 35514, 18, 365, 2875, 22912, 17967, 651, 19540, 24825, 1018, 18, 478, 11227, 8434, 44797, 28348, 309, 2923, 2001, 4534, 38052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1011, 17336, 18, 385, 12196, 291, 873, 575, 27454, 1166, 282, 21311, 43157, 12964, 16, 4813, 309, 13270, 360, 478, 47604, 486, 861, 11674, 17, 46796, 20539, 15415, 282, 965, 1011, 851, 1809, 16952, 18, 985, 4266, 2419, 16452, 32908, 16, 3655, 6548, 9680, 4944, 10411, 350, 5269, 15976, 19094, 349, 8616, 18, 365, 5271, 478, 28345, 470, 7134, 1833, 1272, 16632, 343, 18, 415, 313, 578, 862, 16, 374, 294, 2384, 1616, 478, 19386, 23987, 306, 470, 14828, 282, 7573, 25236, 6061, 3495, 616, 343, 1624, 515, 1307, 31763, 18172, 1280, 3174, 322, 639, 7045, 5941, 18, 640, 17032, 282, 478, 13467, 470, 411, 478, 14237, 818, 312, 470, 15732, 16095, 7720, 21515, 18, 5043, 16, 28910, 304, 282, 30166, 10434, 1542, 2117, 541, 1047, 322, 2756, 510, 7720, 21515, 8782, 27420, 349, 10078, 17, 44606, 11888, 779, 371, 35798, 466, 472, 675, 1484, 18, 439, 1215, 39914, 3720, 13678, 2279, 15464, 2615, 10133, 282, 15640, 423, 281, 3798, 5620, 18, 478, 13467, 470, 16833, 15477, 12968, 287, 365, 14933, 764, 519, 10411, 350, 5269, 16, 289, 40131, 4960, 272, 478, 992, 269, 277, 3174, 470, 3711, 34955, 1423, 35041, 622, 15324, 9680, 2818, 3040, 1219, 18, 34165, 12543, 281, 27580, 27675, 1243, 291, 613, 6816, 4727, 8053, 1624, 374, 26285, 50172, 17311, 16432, 282, 20330, 464, 18, 4541, 2117, 47086, 18756, 16, 13189, 898, 329, 12899, 3541, 16, 515, 23861, 25509, 1762, 11319, 18, 24846, 478, 19386, 23987, 470, 2742, 13316, 2666, 289, 11802, 2948, 18, 640, 2123, 17, 295, 3720, 24993, 22328, 3287, 411, 17, 431, 7889, 289, 2820, 7563, 282, 13757, 883, 6421, 18, 5333, 2175, 16, 9072, 3645, 336, 707, 1063, 3882, 6399, 478, 19386, 7618, 910, 1586, 50136, 1033, 4256, 2849, 291, 18, 2112, 1763, 331, 9439, 15277, 919, 15014, 2458, 29086, 764, 3521, 968, 16, 515, 4426, 35026, 31405, 272, 12437, 10078, 17, 8216, 1116, 3225, 7631, 309, 23511, 281, 46987, 13303, 12270, 18, 17580, 3425, 9601, 282, 970, 575, 9525, 18, 24899, 11364, 925, 5199, 282, 24163, 1207, 16, 367, 5957, 309, 22596, 454, 10556, 1051, 9031, 14179, 38495, 18, 967, 803, 5815, 10078, 17, 44606, 3619, 764, 289, 1533, 1879, 349, 322, 22528, 3179, 326, 307, 14570, 9704, 18, 385, 35962, 9868, 15014, 475, 575, 26450, 414, 22946, 18, 504, 648, 368, 2326, 1832, 2334, 403, 8466, 937, 379, 424, 1599, 364, 23613, 1845, 2446, 483, 18, 40788, 541, 27675, 1243, 291, 1275, 906, 5773, 1794, 648, 577, 416, 18, 3739, 5004, 2158, 7193, 478, 9129, 276, 293, 977, 470, 373, 16, 515, 309, 7256, 445, 3225, 3215, 2156, 3441, 46234, 8782, 18070, 18, 1312, 538, 5575, 17834, 10406, 7125, 40896, 31778, 756, 360, 41727, 5625, 18, 1895, 2110, 9700, 4093, 7163, 6730, 478, 13467, 470, 3619, 282, 2343, 10485, 30, 10078, 17, 46796, 36670, 7130, 6984, 8198, 3732, 16432, 282, 1272, 19574, 18, 740, 1329, 22188, 4446, 322, 12362, 651, 281, 4532, 18341, 11248, 329, 4966, 14440, 3860, 18, 365, 15301, 29235, 1595, 9700, 478, 31562, 309, 1421, 470, 7356, 478, 19386, 23987, 910, 515, 10230, 37116, 15014, 322, 21648, 18, 6682, 7130, 745, 5841, 2853, 334, 10717, 19668, 27675, 1243, 291, 1275, 16, 515, 31405, 272, 3949, 453, 289, 322, 1196, 925, 18, 39491, 2837, 16432, 282, 20545, 2296, 857, 1247, 290, 2566, 39850, 16980, 18, 740, 27675, 1243, 291, 873, 2419, 24937, 3457, 1190, 1805, 18, 2101, 4550, 2450, 507, 590, 948, 12463, 2823, 282, 8384, 309, 13150, 354, 4762, 289, 349, 3937, 5155, 7379, 282, 2641, 3551, 440, 2228, 295, 285, 707, 18, 9248, 333, 8249, 32655, 1423, 8616, 651, 505, 26314, 20256, 33598, 309, 2846, 7130, 36222, 18, 11849, 924, 753, 8782, 10654, 1954, 16, 10078, 17, 8216, 1116, 3711, 3196, 12271, 18, 9300, 277, 1398, 478, 13467, 470, 387, 41888, 651, 478, 19386, 23987, 470, 349, 7954, 726, 282, 22428, 9536, 292, 18, 24993, 3404, 478, 5286, 293, 516, 470, 22447, 411, 17, 431, 7889, 16, 289, 33056, 28911, 266, 42079, 281, 31811, 20010, 14070, 46234, 282, 42808, 18, 385, 12196, 291, 873, 16, 411, 1024, 28209, 22232, 282, 24163, 1207, 16, 281, 6097, 6525, 20240, 414, 35453, 4275, 49818, 13696, 18, 8615, 344, 13510, 857, 35520, 475, 924, 575, 20672, 401, 349, 16533, 349, 1871, 7130, 519, 18890, 10485, 18, 10411, 350, 5269, 1373, 575, 45227, 31405, 272, 3949, 309, 35743, 474, 13230, 16, 515, 2117, 478, 28345, 470, 282, 11063, 453, 289, 322, 10726, 2829, 18, 9570, 28748, 965, 25236, 6288, 8009, 33268, 1624, 275, 14763, 4267, 4744, 2557, 33450, 774, 382, 2314, 23014, 488, 1779, 3971, 15277, 636, 282, 35296, 3617, 454, 18, 740, 289, 481, 639, 764, 322, 475, 18, 999, 3103, 7264, 519, 3915, 2839, 466, 31322, 14384, 7782, 15138, 10808, 8999, 16, 349, 374, 17771, 394, 33988, 28940, 5700, 18, 1034, 464, 16698, 472, 545, 1447, 343, 10986, 36656, 36725, 6972, 368, 16, 281, 2067, 1485, 794, 36854, 46234, 424, 34874, 888, 18, 640, 14794, 10078, 17, 8216, 1116, 12694, 26188, 322, 11576, 1612, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 30145, 21404, 16, 290, 2114, 27173, 9440, 1952, 22059, 8241, 15474, 16, 367, 322, 2619, 27173, 6210, 1262, 25290, 7664, 3589, 3400, 6866, 16, 726, 309, 15592, 30, 334, 25036, 4729, 14971, 16, 294, 1939, 3161, 1045, 45504, 8070, 14476, 360, 10367, 519, 14953, 5752, 1135, 16, 367, 360, 1658, 519, 3610, 9, 1209, 4373, 24602, 41304, 1698, 36143, 726, 282, 13673, 1533, 986, 18, 4763, 1133, 19516, 16, 2686, 16, 2271, 4283, 16, 374, 5303, 10208, 8232, 322, 41500, 48258, 16, 367, 808, 7658, 11548, 18, 31224, 30, 677, 1175, 294, 1939, 3161, 1045, 895, 953, 29983, 7667, 2261, 9, 24602, 7898, 1801, 16, 5095, 26646, 282, 12125, 47, 410, 41406, 41057, 22303, 18, 889, 3230, 16, 828, 282, 11099, 334, 8290, 16, 515, 4803, 16, 828, 282, 3989, 37514, 7338, 18, 22209, 2394, 2625, 322, 18508, 1954, 39223, 18, 20440, 10201, 16, 374, 9874, 3531, 7435, 39720, 322, 687, 18465, 7043, 5197, 16, 515, 289, 20250, 3531, 14451, 2223, 18, 13353, 15058, 1270, 6958, 2110, 8275, 5197, 282, 1175, 651, 282, 3507, 16, 2891, 1754, 16074, 3236, 23905, 294, 34042, 35514, 18, 365, 2875, 22912, 17967, 651, 19540, 24825, 1018, 18, 478, 11227, 8434, 44797, 28348, 309, 2923, 2001, 4534, 38052 ]
[ 12589, 5276, 1013, 651, 47167, 29083, 16, 3060, 16691, 382, 16, 3060, 1724, 711, 276, 18, 4185, 3604, 20918, 10579, 16, 5754, 2125, 24488, 30232, 45563, 16, 953, 9240, 695, 22858, 16072, 16, 6153, 1519, 282, 22945, 2001, 289, 11670, 30675, 14451, 2223, 910, 651, 1109, 309, 8485, 1873, 23143, 478, 47566, 3245, 10208, 9190, 470, 8099, 5439, 4534, 1624, 9216, 32305, 12402, 6569, 289, 3281, 4137, 26199, 291, 18, 824, 505, 3163, 16, 5337, 2232, 31909, 541, 26233, 8743, 3585, 19513, 519, 2706, 9, 334, 7413, 281, 38971, 25237, 16780, 7321, 18, 4429, 4323, 553, 1332, 30889, 1211, 428, 8219, 282, 5969, 9578, 9818, 2466, 42768, 18, 50214, 448, 5754, 322, 687, 2957, 4030, 5040, 17085, 16, 9024, 4651, 4982, 1639, 282, 7847, 1045, 12076, 1033, 6459, 5096, 2791, 16, 515, 289, 7625, 10531, 7143, 1248, 24075, 16, 13458, 1867, 13386, 7435, 289, 20250, 3531, 14451, 2223, 18, 824, 25036, 14971, 35390, 23154, 3565, 657, 13949, 16, 294, 1939, 4691, 1045, 1175, 14813, 360, 1061, 16, 28, 519, 1658, 16, 22, 9433, 27119, 4090, 4999, 18, 1606, 2125, 24429, 3624, 282, 4190, 24665, 617, 289, 10285, 19282, 22029, 485, 8266, 16, 2536, 4381, 7334, 6324, 1640, 289, 14443, 18, 365, 16211, 9190, 15942, 840, 44268, 26788, 4981, 289, 7265, 47863, 16, 367, 9525, 6545, 3356, 5925, 8968, 1082, 10906, 47485, 6676, 16, 11963, 17, 39611, 286, 2257, 289, 5866, 18336, 37161, 18, 16424, 19715, 7220, 16218, 434, 24791, 10937, 289, 23506, 1512, 18, 824, 25036, 45245, 5308, 7234, 289, 1312, 10800, 16, 1800, 282, 1175, 1033, 23523, 30555, 49917, 7663, 322, 14417, 46987, 37921, 10044, 1901, 1872, 891, 16, 14381, 541, 7446, 9269, 12318, 28348, 18, 28616, 6881, 16, 374, 870, 2709, 14178, 9523, 541, 2553, 8396, 1760, 9, 17850, 16, 367, 1038, 21429, 26659, 371, 30764, 6569, 8752, 38652, 18, 1787, 24507, 30, 282, 7338, 17, 326, 476, 2244, 10068, 282, 1272, 17, 1198, 4570, 4803, 30, 14702, 10044, 1398, 5769, 1124, 18207, 1122, 510, 322, 1033, 1488, 443, 2479, 7418, 3153, 4419, 40734, 365, 1464, 1605, 12595, 25280, 609, 18, 6373, 411, 10235, 3342, 7179, 4626, 651, 16444, 3878, 2709, 40868, 3271, 18, 365, 13673, 1533, 986, 9525, 6545, 3356, 5925, 39341, 18380, 9190, 10906, 19074, 12779, 10802, 1134, 16, 2156, 289, 2820, 27955, 6149, 294, 703, 9946, 39743, 289, 40453, 20944, 16, 2548, 26199, 291, 18, 22642, 16, 428, 25156, 8876, 16, 9452, 282, 1440, 547, 16715, 9578, 17967, 4459, 416, 8434, 13303, 1587, 20499, 289, 26830, 35331, 2150, 4999, 4626, 282, 21122, 18, 5343, 16, 282, 6588, 360, 3725, 1888, 8775, 16, 895, 11721, 1190, 17773, 16, 3057, 16, 11670, 25400, 15964, 30, 10729, 448, 16, 6214, 11397, 16, 31631, 16, 510, 367, 1038, 8527, 2712, 12407, 936, 16, 961, 3091, 5317, 15719, 539, 11125, 20499, 6166, 24775, 778, 529, 272, 307, 551, 507, 1502, 11523, 33768, 16, 374, 41056, 1747, 322, 687, 26449, 1474, 3021, 290, 1851, 17, 299, 17291, 16, 515, 289, 8968, 1082, 16, 282, 970, 2875, 3658, 6390, 16, 37069, 541, 36402, 20134, 7987, 294, 21168, 7715, 7043, 5197, 289, 7234, 282, 5329, 18, 824, 47902, 365, 1464, 1605, 289, 1312, 10800, 16, 26945, 282, 22501, 19938, 4247, 8058, 4602, 1545, 16, 2838, 289, 12988, 1545, 8866, 16, 367, 1040, 298, 16335, 1251, 39241, 289, 12402, 5769, 1124, 301, 1330, 43233, 18, 996, 16, 13965, 35983, 5769, 1124, 301, 617, 282, 1272, 4570, 473, 660, 2418, 18314, 309, 1533, 17, 1123, 1555, 32579, 5695, 48950, 17850, 309, 491, 7418, 309, 2555, 17, 1123, 1555, 651, 1033, 1533, 5999, 459, 481, 5695, 24761, 6591, 3230, 11099, 265, 19120, 867, 3899, 16, 294, 5414, 453, 17973, 3771, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 6590, 9977, 5554, 16, 1029, 16, 334, 3761, 14831, 2477, 16, 5960, 1211, 9541, 17, 11174, 36810, 8316, 888, 632, 303, 888, 16, 35027, 309, 984, 4695, 349, 1347, 334, 1324, 1941, 29216, 18, 48811, 1262, 25290, 15743, 10744, 282, 22200, 289, 7010, 6520, 25682, 32653, 390, 2594, 18, 1895, 333, 553, 309, 1129, 477, 1963, 20526, 6431, 1003, 18, 31224, 30, 9284, 1344, 17, 1859, 10723, 45648, 8271, 1829, 12697, 282, 12462, 36054, 8472, 8739, 44460, 510, 27966, 16, 12441, 416, 24467, 9541, 17, 11174, 36810, 6456, 20076, 318, 632, 303, 2344, 18, 459, 547, 29898, 776, 30940, 776, 26, 591, 1087, 547, 4309, 294, 646, 26, 273, 273, 17404, 1912, 3990, 6554, 984, 5339, 6197, 349, 755, 309, 4625, 13845, 282, 36087, 298, 334, 1324, 1941, 29216, 16, 374, 289, 21349, 38822, 2100, 4642, 19168, 755, 2236, 411, 13495, 1356, 18, 640, 2702, 27681, 5595, 5854, 778, 5554, 281, 6996, 307, 18805, 2916, 5681, 4188, 6425, 984, 15793, 8121, 5703, 343, 334, 1324, 1941, 29216, 16, 3895, 17508, 7631, 360, 20393, 281, 12066, 5368, 9729, 32720, 18, 2112, 978, 18464, 29898, 12144, 4024, 16, 515, 2493, 3424, 19471, 282, 1196, 454, 18, 18983, 15167, 275, 16, 10383, 478, 618, 4708, 470, 3424, 387, 15793, 309, 1324, 2606, 289, 23517, 2915, 18, 25344, 7742, 22625, 9597, 37627, 6456, 1055, 1745, 322, 13202, 4110, 39592, 23610, 16, 4813, 309, 27767, 8348, 282, 22200, 289, 282, 44443, 6456, 360, 8243, 32277, 18, 18561, 16, 374, 349, 2184, 32720, 35906, 49760, 399, 411, 1912, 322, 8412, 7069, 46724, 349, 6911, 5935, 448, 8739, 16, 3888, 411, 1639, 21440, 1007, 764, 282, 4440, 1045, 18, 40295, 22821, 12627, 682, 7356, 10983, 26369, 282, 34473, 9541, 17, 11174, 36810, 18, 478, 5786, 5641, 5428, 16, 374, 5642, 17, 554, 7839, 33186, 939, 1269, 18, 7858, 322, 39674, 2072, 16, 374, 481, 1847, 7352, 910, 510, 12002, 1122, 18, 365, 502, 575, 808, 8737, 604, 29599, 18290, 31090, 1038, 3828, 16, 374, 478, 275, 481, 808, 7352, 906, 282, 4391, 13770, 282, 3948, 861, 365, 34473, 20076, 318, 632, 303, 2344, 34991, 6730, 478, 46088, 18, 8381, 470, 47423, 1636, 17245, 16, 794, 36854, 282, 22799, 516, 3781, 17, 42885, 18, 967, 803, 2238, 2016, 6937, 8765, 6818, 16, 374, 4302, 15841, 6152, 27871, 2009, 5626, 4358, 549, 9541, 17, 11174, 36810, 1745, 406, 16338, 322, 21889, 18, 365, 901, 3643, 6937, 13202, 1519, 6730, 281, 32720, 20076, 318, 632, 303, 2344, 478, 46088, 18, 8381, 470, 322, 7737, 18, 7909, 2197, 2238, 2016, 3781, 17, 14130, 15395, 808, 309, 9372, 1070, 281, 27435, 16, 2512, 722, 30961, 9321, 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 ]
[ 12589, 5276, 1013, 651, 47167, 29083, 16, 3060, 16691, 382, 16, 3060, 1724, 711, 276, 18, 4185, 3604, 20918, 10579, 16, 5754, 2125, 24488, 30232, 45563, 16, 953, 9240, 695, 22858, 16072, 16, 6153, 1519, 282, 22945, 2001, 289, 11670, 30675, 14451, 2223, 910, 651, 1109, 309, 8485, 1873, 23143, 478, 47566, 3245, 10208, 9190, 470, 8099, 5439, 4534, 1624, 9216, 32305, 12402, 6569, 289, 3281, 4137, 26199, 291, 18, 824, 505, 3163, 16, 5337, 2232, 31909, 541, 26233, 8743, 3585, 19513, 519, 2706, 9, 334, 7413, 281, 38971, 25237, 16780, 7321, 18, 4429, 4323, 553, 1332, 30889, 1211, 428, 8219, 282, 5969, 9578, 9818, 2466, 42768, 18, 50214, 448, 5754, 322, 687, 2957, 4030, 5040, 17085, 16, 9024, 4651, 4982, 1639, 282, 7847, 1045, 12076, 1033, 6459, 5096, 2791, 16, 515, 289, 7625, 10531, 7143, 1248, 24075, 16, 13458, 1867, 13386, 7435, 289, 20250, 3531, 14451, 2223, 18, 824, 25036, 14971, 35390, 23154, 3565, 657, 13949, 16, 294, 1939, 4691, 1045, 1175, 14813, 360, 1061, 16, 28, 519, 1658, 16, 22, 9433, 27119, 4090, 4999, 18, 1606, 2125, 24429, 3624, 282, 4190, 24665, 617, 289, 10285, 19282, 22029, 485, 8266, 16, 2536, 4381, 7334, 6324, 1640, 289, 14443, 18, 365, 16211, 9190, 15942, 840, 44268, 26788, 4981, 289, 7265, 47863, 16, 367, 9525, 6545, 3356, 5925, 8968, 1082, 10906, 47485, 6676, 16, 11963, 17, 39611, 286, 2257, 289, 5866, 18336, 37161, 18, 16424, 19715, 7220, 16218, 434, 24791, 10937, 289, 23506, 1512, 18, 824, 25036, 45245, 5308, 7234, 289, 1312, 10800, 16, 1800, 282, 1175, 1033, 23523, 30555, 49917, 7663, 322, 14417, 46987, 37921, 10044, 1901, 1872, 891, 16, 14381, 541, 7446, 9269, 12318, 28348, 18, 28616, 6881, 16, 374, 870, 2709, 14178, 9523, 541, 2553, 8396, 1760, 9, 17850, 16, 367, 1038, 21429, 26659, 371, 30764, 6569, 8752, 38652, 18, 1787, 24507, 30, 282, 7338, 17, 326, 476, 2244, 10068, 282, 1272, 17, 1198, 4570, 4803, 30, 14702, 10044, 1398, 5769, 1124, 18207, 1122, 510, 322, 1033, 1488, 443, 2479, 7418, 3153, 4419, 40734, 365, 1464, 1605, 12595, 25280, 609, 18, 6373, 411, 10235, 3342, 7179, 4626, 651, 16444, 3878, 2709, 40868, 3271, 18, 365, 13673, 1533, 986, 9525, 6545, 3356, 5925, 39341, 18380, 9190, 10906, 19074, 12779, 10802, 1134, 16, 2156, 289, 2820, 27955, 6149, 294, 703, 9946, 39743, 289, 40453, 20944, 16, 2548, 26199, 291, 18, 22642, 16, 428, 25156, 8876, 16, 9452, 282, 1440, 547, 16715, 9578, 17967, 4459, 416, 8434, 13303, 1587, 20499, 289, 26830, 35331, 2150, 4999, 4626, 282, 21122, 18, 5343, 16, 282, 6588, 360, 3725, 1888, 8775, 16, 895, 11721, 1190, 17773, 16, 3057, 16, 11670, 25400, 15964, 30, 10729, 448, 16, 6214, 11397, 16, 31631, 16, 510, 367, 1038, 8527, 2712, 12407, 936, 16, 961, 3091, 5317, 15719, 539, 11125, 20499, 6166, 24775, 778, 529, 272, 307, 551, 507, 1502, 11523, 33768, 16, 374, 41056, 1747, 322, 687, 26449, 1474, 3021, 290, 1851, 17, 299, 17291, 16, 515, 289, 8968, 1082, 16, 282, 970, 2875, 3658, 6390, 16, 37069, 541, 36402, 20134, 7987, 294, 21168, 7715, 7043, 5197, 289, 7234, 282, 5329, 18, 824, 47902, 365, 1464, 1605, 289, 1312, 10800, 16, 26945, 282, 22501, 19938, 4247, 8058, 4602, 1545, 16, 2838, 289, 12988, 1545, 8866, 16, 367, 1040, 298, 16335, 1251, 39241, 289, 12402, 5769, 1124, 301, 1330, 43233, 18, 996, 16, 13965, 35983, 5769, 1124, 301, 617, 282, 1272, 4570, 473, 660, 2418, 18314, 309, 1533, 17, 1123, 1555, 32579, 5695, 48950, 17850, 309, 491, 7418, 309, 2555, 17, 1123, 1555, 651, 1033, 1533, 5999, 459, 481, 5695, 24761, 6591, 3230, 11099, 265, 19120, 867, 3899, 16, 294, 5414, 453, 17973, 3771, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 6590, 9977, 5554, 16, 1029, 16, 334, 3761, 14831, 2477, 16, 5960, 1211, 9541, 17, 11174, 36810, 8316, 888, 632, 303, 888, 16, 35027, 309, 984, 4695, 349, 1347, 334, 1324, 1941, 29216, 18, 48811, 1262, 25290, 15743, 10744, 282, 22200, 289, 7010, 6520, 25682, 32653, 390, 2594, 18, 1895, 333, 553, 309, 1129, 477, 1963, 20526, 6431, 1003, 18, 31224, 30, 9284, 1344, 17, 1859, 10723, 45648, 8271, 1829, 12697, 282, 12462, 36054, 8472, 8739, 44460, 510, 27966, 16, 12441, 416, 24467, 9541, 17, 11174, 36810, 6456, 20076, 318, 632, 303, 2344, 18, 459, 547, 29898, 776, 30940, 776, 26, 591, 1087, 547, 4309, 294, 646, 26, 273, 273, 17404, 1912, 3990, 6554, 984, 5339, 6197, 349, 755, 309, 4625, 13845, 282, 36087, 298, 334, 1324, 1941, 29216, 16, 374, 289, 21349, 38822, 2100, 4642, 19168, 755, 2236, 411, 13495, 1356, 18, 640, 2702, 27681, 5595, 5854, 778, 5554, 281, 6996, 307, 18805, 2916, 5681, 4188, 6425, 984, 15793, 8121, 5703, 343, 334, 1324, 1941, 29216, 16, 3895, 17508, 7631, 360, 20393, 281, 12066, 5368, 9729, 32720, 18, 2112, 978, 18464, 29898, 12144, 4024, 16, 515, 2493, 3424, 19471, 282, 1196, 454, 18, 18983, 15167, 275, 16, 10383, 478, 618, 4708, 470, 3424, 387, 15793, 309, 1324, 2606, 289, 23517, 2915, 18, 25344, 7742, 22625, 9597, 37627, 6456, 1055, 1745, 322, 13202, 4110, 39592, 23610, 16, 4813, 309, 27767, 8348, 282, 22200, 289, 282, 44443, 6456, 360, 8243, 32277, 18, 18561, 16, 374, 349, 2184, 32720, 35906, 49760, 399, 411, 1912, 322, 8412, 7069, 46724, 349, 6911, 5935, 448, 8739, 16, 3888, 411, 1639, 21440, 1007, 764, 282, 4440, 1045, 18, 40295, 22821, 12627, 682, 7356, 10983, 26369, 282, 34473, 9541, 17, 11174, 36810, 18, 478, 5786, 5641, 5428, 16, 374, 5642, 17, 554, 7839, 33186, 939, 1269, 18, 7858, 322, 39674, 2072, 16, 374, 481, 1847, 7352, 910, 510, 12002, 1122, 18, 365, 502, 575, 808, 8737, 604, 29599, 18290, 31090, 1038, 3828, 16, 374, 478, 275, 481, 808, 7352, 906, 282, 4391, 13770, 282, 3948, 861, 365, 34473, 20076, 318, 632, 303, 2344, 34991, 6730, 478, 46088, 18, 8381, 470, 47423, 1636, 17245, 16, 794, 36854, 282, 22799, 516, 3781, 17, 42885, 18, 967, 803, 2238, 2016, 6937, 8765, 6818, 16, 374, 4302, 15841, 6152, 27871, 2009, 5626, 4358, 549, 9541, 17, 11174, 36810, 1745, 406, 16338, 322, 21889, 18, 365, 901, 3643, 6937, 13202, 1519, 6730, 281, 32720, 20076, 318, 632, 303, 2344, 478, 46088, 18, 8381, 470, 322, 7737, 18, 7909, 2197, 2238, 2016, 3781, 17, 14130, 15395, 808, 309, 9372, 1070, 281, 27435, 16, 2512, 722, 30961, 9321, 16 ]
[ 374, 15841, 14090, 322, 895, 18, 478, 4348, 322, 5087, 13202, 1519, 2089, 5901, 16, 322, 18675, 1007, 16, 3136, 289, 2141, 2388, 949, 272, 8855, 655, 1345, 3781, 17, 9952, 6937, 37627, 6456, 289, 5882, 15471, 28174, 7461, 910, 510, 12002, 478, 46088, 18, 8381, 470, 282, 27246, 18, 832, 3225, 3604, 10983, 289, 282, 901, 3643, 22200, 510, 282, 3178, 1223, 2299, 282, 3781, 17, 12495, 11413, 322, 24208, 9581, 18, 832, 22476, 519, 978, 309, 6590, 9977, 2597, 628, 555, 764, 2197, 36917, 5517, 281, 12070, 16979, 969, 4389, 5758, 769, 1201, 534, 5282, 334, 3946, 7956, 2230, 315, 357, 1231, 16, 1586, 567, 808, 21454, 11220, 2067, 8096, 3319, 1125, 2131, 353, 282, 33263, 20043, 18, 38431, 281, 2230, 315, 357, 1231, 11540, 764, 430, 3990, 18, 14766, 16, 12352, 3308, 6906, 19007, 478, 26145, 1162, 6153, 9383, 3785, 470, 40099, 455, 1595, 969, 4389, 5758, 769, 1201, 534, 5282, 309, 1324, 1941, 29216, 15615, 7626, 36087, 287, 18, 1937, 42474, 4833, 396, 18321, 5894, 5658, 3882, 2795, 14935, 478, 682, 1161, 8667, 6590, 9977, 470, 12836, 34700, 388, 12084, 289, 16804, 10914, 1347, 28513, 282, 18551, 1212, 14305, 16922, 3874, 45948, 16, 834, 2617, 14098, 294, 8436, 2230, 315, 357, 1231, 42200, 15506, 16, 2742, 697, 8888, 2666, 16, 45255, 39750, 16, 1372, 4857, 282, 21030, 43130, 289, 12785, 44020, 16, 289, 21447, 16, 374, 478, 40397, 847, 309, 25991, 32653, 15360, 861, 1540, 3452, 755, 22200, 16, 309, 2024, 3708, 1038, 2961, 7102, 1609, 16, 49265, 1475, 7709, 3616, 27457, 309, 23288, 2791, 349, 15215, 668, 14114, 454, 18, 39991, 2728, 23828, 381, 46559, 19690, 8191, 16, 678, 322, 15720, 15312, 7284, 2854, 722, 30, 478, 1358, 1304, 9271, 3391, 4271, 42819, 12452, 282, 12462, 36054, 6573, 22321, 3084, 32361, 16, 289, 37972, 9597, 46470, 29788, 16, 374, 15311, 2230, 315, 357, 1231, 282, 697, 25982, 1003, 18, 365, 1423, 3678, 16, 16922, 3874, 45948, 282, 27561, 281, 17604, 496, 478, 32485, 18, 8381, 470, 4725, 16, 374, 478, 8610, 32756, 470, 3337, 2853, 2230, 315, 357, 1231, 334, 722, 23587, 16, 367, 322, 13995, 19090, 16525, 18, 4635, 334, 1420, 289, 10225, 373, 5978, 722, 15311, 18, 832, 18127, 1752, 2184, 16, 14305, 1063, 24030, 28937, 1424, 22200, 282, 970, 16, 374, 329, 6723, 574, 2203, 9024, 1323, 1281, 322, 8412, 7069, 46724, 18, 2949, 924, 16, 13143, 23539, 3514, 282, 722, 17343, 478, 13560, 2844, 34137, 662, 910, 2686, 1055, 6723, 22903, 3164, 1844, 10580, 519, 25748, 24529, 10299, 23850, 510, 4228, 15952, 555, 29823, 2825, 18, 9046, 746, 1728, 6401, 2198, 17684, 289, 5037, 11552, 8231, 334, 18551, 2818, 10020, 4137, 8790, 14337, 18, 478, 1358, 373, 309, 505, 2468, 1833, 14306, 13917, 526, 16, 753, 8197, 722, 282, 13331, 6233, 225, 910, 510, 1109, 492, 16, 30634, 16, 374, 15369, 2795, 19361, 322, 840, 18, 14122, 17730, 4651, 20554, 15488, 16, 374, 2230, 315, 357, 1231, 840, 6541, 324, 18, 478, 4348, 27797, 2089, 7882, 4285, 281, 24521, 16, 510, 1109, 4137, 8790, 14337, 18, 510, 2465, 16, 428, 2103, 10294, 16, 25737, 16, 374, 2874, 14429, 453, 10302, 294, 14371, 861, 478, 1140, 22552, 10463, 7620, 6937, 290, 970, 16, 374, 481, 15734, 783, 289, 4136, 17, 299, 424, 34043, 16, 10777, 4538, 16, 322, 37054, 22103, 16, 510, 2815, 478, 46088, 18, 8381, 470, 8306, 285, 478, 440, 1608, 1121, 320, 368, 470, 7753, 1034, 454, 40903, 18, 510, 9993, 282, 18551, 1212, 14305, 28784, 24725, 6295, 16, 785, 475, 13495, 1262, 282, 5329, 45180, 939, 11249, 289, 4745, 16, 367, 309, 697, 8011, 13495, 14886, 670, 16, 428, 282, 1750, 281, 19610, 17980, 1236, 416, 2230, 315, 357, 1231, 16, 1139, 23773, 1512, 10842, 1190, 2174, 861, 824, 505, 3163, 16, 322, 8412, 7050, 42588, 6043, 2203, 322, 3929, 828, 17, 299, 41901, 18, 478, 25978, 7352, 16, 3848, 1223, 16, 5891, 2773, 309, 49914, 2641, 16, 3057, 4347, 11092, 662, 5439, 6456, 16, 289, 541, 16979, 2567, 5642, 322, 8412, 354, 1967, 46724, 9972, 322, 16684, 18, 365, 6588, 360, 15204, 13495, 1356, 975, 322, 16684, 9278, 539, 9449, 44046, 539, 15634, 36222, 282, 1750, 322, 673, 39688, 16, 10570, 564, 31775, 289, 12638, 20962, 18, 365, 2903, 2529, 1750, 282, 23408, 901, 3643, 6937, 22913, 41062, 17221, 560, 18, 740, 6348, 1190, 16, 374, 745, 2826, 3336, 1008, 1886, 289, 16379, 374, 17, 299, 37833, 16, 510, 481, 1139, 10779, 343, 16, 417, 282, 2174, 282, 10209, 322, 12236, 18, 8859, 417, 25482, 16, 374, 3433, 6295, 281, 322, 8412, 14692, 10556, 1134, 6043, 3317, 28784, 322, 687, 282, 36087, 298, 16, 515, 6769, 289, 282, 1888, 15209, 861, 48811, 285, 5273, 16, 374, 5826, 3230, 9203, 3314, 26369, 16, 1881, 2508, 13605, 27095, 32361, 16, 322, 4266, 381, 14822, 18868, 5054, 282, 18551, 1212, 14305, 18, 478, 30688, 2659, 16, 481, 4775, 25725, 13228, 16, 510, 5273, 1034, 454, 40903, 18, 510, 365, 803, 4599, 1122, 6295, 322, 3433, 35449, 549, 16, 428, 282, 3217, 575, 3507, 18, 608, 813, 9681, 12497, 2722, 5520, 510, 481, 7566, 11859, 432, 30838, 282, 8347, 13636, 16, 1833, 3419, 15818, 18, 38710, 5831, 3675, 25620, 23383, 31980, 282, 40977, 412, 945, 451, 510, 1833, 575, 282, 5324, 11116, 9405, 3400, 38770, 28084, 30, 5067, 322, 5550, 16, 374, 411, 17, 431, 1047, 12497, 1867, 1992, 1332, 18, 365, 18551, 1212, 14305, 6295, 34453, 16, 282, 13822, 12497, 1867, 17435, 764, 5992, 16, 828, 282, 3507, 16, 515, 1749, 1030, 1973, 18, 3647, 1783, 9760, 421, 17, 24, 3891, 2513, 1867, 16, 289, 1749, 14322, 10916, 309, 7196, 298, 289, 537, 2236, 31441, 5174, 309, 1177, 2948, 16, 18439, 417, 381, 803, 322, 3189, 861, 1034, 454, 40903, 371, 803, 5273, 16, 374, 8811, 22200, 282, 18551, 1212, 14305, 7393, 1904, 18, 478, 684, 1498, 1003, 4302, 6528, 16, 510, 9280, 492, 18, 510, 3026, 309, 22908, 3717, 538, 6579, 16, 289, 478, 486, 265, 42847, 470, 1122, 3215, 36165, 18, 22642, 322, 282, 1129, 16, 367, 282, 970, 16, 374, 309, 22908, 5092, 1817, 1512, 16, 961, 670, 5644, 6178, 965, 2701, 343, 507, 30721, 16, 670, 2826, 2701, 343, 507, 4851, 18, 740, 828, 1143, 840, 1215, 2567, 22832, 413, 1587, 5626, 289, 46378, 18207, 294, 5935, 1147, 26919, 1016, 1512, 16, 867, 6847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 374, 15841, 14090, 322, 895, 18, 478, 4348, 322, 5087, 13202, 1519, 2089, 5901, 16, 322, 18675, 1007, 16, 3136, 289, 2141, 2388, 949, 272, 8855, 655, 1345, 3781, 17, 9952, 6937, 37627, 6456, 289, 5882, 15471, 28174, 7461, 910, 510, 12002, 478, 46088, 18, 8381, 470, 282, 27246, 18, 832, 3225, 3604, 10983, 289, 282, 901, 3643, 22200, 510, 282, 3178, 1223, 2299, 282, 3781, 17, 12495, 11413, 322, 24208, 9581, 18, 832, 22476, 519, 978, 309, 6590, 9977, 2597, 628, 555, 764, 2197, 36917, 5517, 281, 12070, 16979, 969, 4389, 5758, 769, 1201, 534, 5282, 334, 3946, 7956, 2230, 315, 357, 1231, 16, 1586, 567, 808, 21454, 11220, 2067, 8096, 3319, 1125, 2131, 353, 282, 33263, 20043, 18, 38431, 281, 2230, 315, 357, 1231, 11540, 764, 430, 3990, 18, 14766, 16, 12352, 3308, 6906, 19007, 478, 26145, 1162, 6153, 9383, 3785, 470, 40099, 455, 1595, 969, 4389, 5758, 769, 1201, 534, 5282, 309, 1324, 1941, 29216, 15615, 7626, 36087, 287, 18, 1937, 42474, 4833, 396, 18321, 5894, 5658, 3882, 2795, 14935, 478, 682, 1161, 8667, 6590, 9977, 470, 12836, 34700, 388, 12084, 289, 16804, 10914, 1347, 28513, 282, 18551, 1212, 14305, 16922, 3874, 45948, 16, 834, 2617, 14098, 294, 8436, 2230, 315, 357, 1231, 42200, 15506, 16, 2742, 697, 8888, 2666, 16, 45255, 39750, 16, 1372, 4857, 282, 21030, 43130, 289, 12785, 44020, 16, 289, 21447, 16, 374, 478, 40397, 847, 309, 25991, 32653, 15360, 861, 1540, 3452, 755, 22200, 16, 309, 2024, 3708, 1038, 2961, 7102, 1609, 16, 49265, 1475, 7709, 3616, 27457, 309, 23288, 2791, 349, 15215, 668, 14114, 454, 18, 39991, 2728, 23828, 381, 46559, 19690, 8191, 16, 678, 322, 15720, 15312, 7284, 2854, 722, 30, 478, 1358, 1304, 9271, 3391, 4271, 42819, 12452, 282, 12462, 36054, 6573, 22321, 3084, 32361, 16, 289, 37972, 9597, 46470, 29788, 16, 374, 15311, 2230, 315, 357, 1231, 282, 697, 25982, 1003, 18, 365, 1423, 3678, 16, 16922, 3874, 45948, 282, 27561, 281, 17604, 496, 478, 32485, 18, 8381, 470, 4725, 16, 374, 478, 8610, 32756, 470, 3337, 2853, 2230, 315, 357, 1231, 334, 722, 23587, 16, 367, 322, 13995, 19090, 16525, 18, 4635, 334, 1420, 289, 10225, 373, 5978, 722, 15311, 18, 832, 18127, 1752, 2184, 16, 14305, 1063, 24030, 28937, 1424, 22200, 282, 970, 16, 374, 329, 6723, 574, 2203, 9024, 1323, 1281, 322, 8412, 7069, 46724, 18, 2949, 924, 16, 13143, 23539, 3514, 282, 722, 17343, 478, 13560, 2844, 34137, 662, 910, 2686, 1055, 6723, 22903, 3164, 1844, 10580, 519, 25748, 24529, 10299, 23850, 510, 4228, 15952, 555, 29823, 2825, 18, 9046, 746, 1728, 6401, 2198, 17684, 289, 5037, 11552, 8231, 334, 18551, 2818, 10020, 4137, 8790, 14337, 18, 478, 1358, 373, 309, 505, 2468, 1833, 14306, 13917, 526, 16, 753, 8197, 722, 282, 13331, 6233, 225, 910, 510, 1109, 492, 16, 30634, 16, 374, 15369, 2795, 19361, 322, 840, 18, 14122, 17730, 4651, 20554, 15488, 16, 374, 2230, 315, 357, 1231, 840, 6541, 324, 18, 478, 4348, 27797, 2089, 7882, 4285, 281, 24521, 16, 510, 1109, 4137, 8790, 14337, 18, 510, 2465, 16, 428, 2103, 10294, 16, 25737, 16, 374, 2874, 14429, 453, 10302, 294, 14371, 861, 478, 1140, 22552, 10463, 7620, 6937, 290, 970, 16, 374, 481, 15734, 783, 289, 4136, 17, 299, 424, 34043, 16, 10777, 4538, 16, 322, 37054, 22103, 16, 510, 2815, 478, 46088, 18, 8381, 470, 8306, 285, 478, 440, 1608, 1121, 320, 368, 470, 7753, 1034, 454, 40903, 18, 510, 9993, 282, 18551, 1212, 14305, 28784, 24725, 6295, 16, 785, 475, 13495, 1262, 282, 5329, 45180, 939, 11249, 289, 4745, 16, 367, 309, 697, 8011, 13495, 14886, 670, 16, 428, 282, 1750, 281, 19610, 17980, 1236, 416, 2230, 315, 357, 1231, 16, 1139, 23773, 1512, 10842, 1190, 2174, 861, 824, 505, 3163, 16, 322, 8412, 7050, 42588, 6043, 2203, 322, 3929, 828, 17, 299, 41901, 18, 478, 25978, 7352, 16, 3848, 1223, 16, 5891, 2773, 309, 49914, 2641, 16, 3057, 4347, 11092, 662, 5439, 6456, 16, 289, 541, 16979, 2567, 5642, 322, 8412, 354, 1967, 46724, 9972, 322, 16684, 18, 365, 6588, 360, 15204, 13495, 1356, 975, 322, 16684, 9278, 539, 9449, 44046, 539, 15634, 36222, 282, 1750, 322, 673, 39688, 16, 10570, 564, 31775, 289, 12638, 20962, 18, 365, 2903, 2529, 1750, 282, 23408, 901, 3643, 6937, 22913, 41062, 17221, 560, 18, 740, 6348, 1190, 16, 374, 745, 2826, 3336, 1008, 1886, 289, 16379, 374, 17, 299, 37833, 16, 510, 481, 1139, 10779, 343, 16, 417, 282, 2174, 282, 10209, 322, 12236, 18, 8859, 417, 25482, 16, 374, 3433, 6295, 281, 322, 8412, 14692, 10556, 1134, 6043, 3317, 28784, 322, 687, 282, 36087, 298, 16, 515, 6769, 289, 282, 1888, 15209, 861, 48811, 285, 5273, 16, 374, 5826, 3230, 9203, 3314, 26369, 16, 1881, 2508, 13605, 27095, 32361, 16, 322, 4266, 381, 14822, 18868, 5054, 282, 18551, 1212, 14305, 18, 478, 30688, 2659, 16, 481, 4775, 25725, 13228, 16, 510, 5273, 1034, 454, 40903, 18, 510, 365, 803, 4599, 1122, 6295, 322, 3433, 35449, 549, 16, 428, 282, 3217, 575, 3507, 18, 608, 813, 9681, 12497, 2722, 5520, 510, 481, 7566, 11859, 432, 30838, 282, 8347, 13636, 16, 1833, 3419, 15818, 18, 38710, 5831, 3675, 25620, 23383, 31980, 282, 40977, 412, 945, 451, 510, 1833, 575, 282, 5324, 11116, 9405, 3400, 38770, 28084, 30, 5067, 322, 5550, 16, 374, 411, 17, 431, 1047, 12497, 1867, 1992, 1332, 18, 365, 18551, 1212, 14305, 6295, 34453, 16, 282, 13822, 12497, 1867, 17435, 764, 5992, 16, 828, 282, 3507, 16, 515, 1749, 1030, 1973, 18, 3647, 1783, 9760, 421, 17, 24, 3891, 2513, 1867, 16, 289, 1749, 14322, 10916, 309, 7196, 298, 289, 537, 2236, 31441, 5174, 309, 1177, 2948, 16, 18439, 417, 381, 803, 322, 3189, 861, 1034, 454, 40903, 371, 803, 5273, 16, 374, 8811, 22200, 282, 18551, 1212, 14305, 7393, 1904, 18, 478, 684, 1498, 1003, 4302, 6528, 16, 510, 9280, 492, 18, 510, 3026, 309, 22908, 3717, 538, 6579, 16, 289, 478, 486, 265, 42847, 470, 1122, 3215, 36165, 18, 22642, 322, 282, 1129, 16, 367, 282, 970, 16, 374, 309, 22908, 5092, 1817, 1512, 16, 961, 670, 5644, 6178, 965, 2701, 343, 507, 30721, 16, 670, 2826, 2701, 343, 507, 4851, 18, 740, 828, 1143, 840, 1215, 2567, 22832, 413, 1587, 5626, 289, 46378, 18207, 294, 5935, 1147, 26919, 1016, 1512, 16, 867, 6847 ]
[ 22200, 16, 26929, 309, 2954, 1880, 8770, 16, 5304, 281, 7396, 5578, 11203, 18, 4149, 575, 1320, 475, 481, 322, 5550, 16, 745, 30436, 1749, 16, 515, 9904, 2048, 1139, 1329, 322, 1698, 18, 1178, 329, 6814, 2450, 1083, 299, 42837, 553, 840, 14729, 5054, 16, 502, 289, 5844, 413, 282, 8384, 281, 478, 296, 4603, 758, 470, 309, 22908, 840, 1965, 2107, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 28828, 319, 470, 289, 8992, 92, 461, 49, 4166, 787, 36890, 21879, 37961, 41724, 18, 22987, 1230, 1212, 5581, 10047, 18828, 282, 5662, 9991, 38530, 1782, 890, 507, 16, 18050, 1310, 718, 24783, 289, 25359, 18, 13699, 1162, 39805, 510, 3772, 294, 10960, 17370, 16766, 289, 37712, 45786, 6546, 16, 1810, 309, 2114, 38348, 282, 4018, 1045, 18, 47720, 10685, 27944, 7726, 45786, 399, 478, 28828, 319, 470, 44433, 289, 17234, 8972, 2675, 510, 457, 13628, 17, 677, 730, 16, 478, 563, 671, 18436, 15207, 464, 486, 6637, 910, 478, 27280, 684, 323, 1528, 470, 289, 478, 12003, 12103, 399, 345, 861, 31224, 30, 471, 28828, 319, 470, 289, 25254, 39805, 8992, 92, 461, 49, 4166, 787, 282, 10666, 27875, 11418, 16, 1073, 7429, 14414, 21879, 37961, 11993, 16, 290, 2114, 2241, 17556, 282, 2343, 4160, 6705, 779, 18, 21575, 17, 13522, 289, 9272, 451, 4770, 1175, 4137, 6732, 309, 9155, 281, 20712, 7067, 18820, 8992, 92, 461, 49, 4166, 787, 15822, 3032, 457, 364, 23682, 1305, 16, 1586, 12935, 1188, 9565, 1525, 6702, 16, 4725, 16, 374, 15562, 6271, 4660, 15573, 478, 324, 17634, 3142, 289, 935, 309, 19606, 861, 478, 1358, 4660, 7803, 16, 10899, 16, 3893, 16, 374, 18653, 1505, 12890, 1747, 12652, 758, 910, 510, 2815, 7638, 18, 6592, 5524, 6279, 38271, 16, 8992, 92, 461, 49, 4166, 787, 11834, 3455, 282, 16571, 45052, 5473, 48408, 432, 15802, 282, 2776, 1212, 4993, 473, 24091, 695, 17, 4670, 609, 30738, 388, 1133, 17, 21, 16, 376, 22, 16, 376, 23, 934, 19465, 15287, 1639, 4609, 3236, 282, 1032, 16, 29, 5096, 7833, 10960, 289, 1488, 16, 23, 34278, 34184, 8697, 18, 1787, 24507, 16, 1205, 4139, 33225, 10960, 282, 2968, 4896, 2364, 1032, 16, 24, 5096, 7833, 10960, 289, 4652, 816, 16, 23, 34278, 34184, 8697, 18, 3791, 8992, 92, 461, 49, 4166, 787, 35917, 282, 4871, 12526, 5649, 9317, 7779, 718, 438, 801, 807, 309, 45786, 2800, 21938, 5420, 18, 2320, 21195, 16, 334, 23810, 25036, 16, 1698, 33749, 430, 16, 22, 5096, 7833, 14852, 434, 27301, 1321, 18, 45241, 17, 24339, 7550, 2777, 1690, 2548, 16, 374, 12890, 282, 2776, 1212, 4993, 4609, 3236, 282, 4843, 4003, 384, 18442, 5096, 16, 1601, 15735, 778, 4871, 510, 282, 4843, 3324, 5096, 18, 365, 6104, 1045, 6732, 1038, 18701, 7512, 4843, 4003, 384, 18442, 5096, 289, 5542, 4165, 16, 374, 4498, 3419, 687, 290, 26318, 6153, 4678, 18, 478, 618, 827, 3111, 381, 10266, 4639, 16, 14885, 14381, 21240, 16, 46747, 1207, 2923, 16, 502, 26945, 1698, 28780, 519, 4843, 16041, 5096, 910, 510, 4725, 7638, 18, 450, 2446, 478, 49867, 470, 282, 45052, 5473, 289, 1601, 15735, 1212, 34183, 14481, 19856, 16, 27, 7418, 8992, 92, 461, 49, 4166, 787, 510, 11114, 16, 23, 5999, 2949, 924, 16, 11418, 478, 49867, 470, 289, 8992, 92, 461, 10663, 1867, 6287, 19669, 15008, 12526, 15802, 281, 4525, 511, 24888, 30721, 3243, 4887, 10960, 439, 8563, 35590, 289, 47370, 15640, 282, 3948, 967, 598, 1683, 434, 16, 14543, 356, 712, 718, 289, 35064, 718, 40808, 17370, 16766, 473, 348, 3793, 21195, 4609, 3236, 282, 430, 16, 27, 5096, 7833, 10960, 814, 365, 10130, 25753, 4153, 11306, 281, 8992, 92, 461, 20694, 1967, 15802, 18, 365, 7544, 16775, 29591, 41172, 478, 49867, 470, 2678, 24637, 18828, 282, 1634, 34183, 282, 2145, 473, 35464, 6404, 301, 35080, 32163, 282, 18050, 1310, 1212, 43498, 289, 32163, 281, 4525, 511, 24888, 30721, 3243, 4887, 10960, 282, 1782, 890, 409, 934, 32164, 289, 1888, 7338, 18, 985, 2438, 3665, 478, 46088, 18, 8381, 910, 25254, 478, 660, 2147, 470, 478, 49867, 470, 1059, 18114, 3838, 75, 5266, 48832, 657, 17688, 37040, 4526, 8034, 281, 27845, 2555, 9, 282, 4871, 334, 49684, 4525, 511, 24888, 6036, 10960, 282, 6564, 547, 1782, 890, 409, 473, 819, 10226, 4414, 17, 1605, 11038, 665, 282, 7120, 332, 551, 1212, 38106, 934, 367, 1038, 10047, 2990, 309, 23513, 7664, 1941, 18828, 282, 1939, 12609, 292, 8992, 92, 461, 282, 18050, 1310, 1212, 43498, 18, 2949, 924, 16, 22244, 1162, 18666, 478, 49867, 470, 1075, 50, 38480, 8414, 1621, 787, 25480, 10047, 2555, 9, 282, 13157, 8474, 7821, 2042, 473, 2592, 285, 2776, 488, 748, 16, 7624, 783, 29895, 354, 282, 17370, 32164, 814, 3863, 4871, 14736, 281, 37930, 281, 1822, 1275, 346, 8697, 18, 478, 16563, 6773, 16, 961, 8992, 92, 461, 8123, 478, 49867, 910, 19282, 281, 4947, 4611, 36926, 16, 2805, 4871, 282, 32164, 16, 453, 428, 282, 1335, 4008, 11460, 289, 2303, 411, 17, 431, 14685, 6171, 8369, 39777, 477, 19226, 44907, 334, 8823, 16, 3057, 16, 294, 2689, 2818, 44258, 16, 510, 49644, 41330, 459, 1182, 822, 478, 6207, 1748, 300, 691, 470, 17711, 26255, 523, 18, 510, 740, 541, 478, 49867, 470, 17632, 3300, 510, 14874, 8786, 19915, 4525, 511, 24888, 6036, 10960, 289, 8697, 16, 961, 282, 10130, 1698, 953, 27603, 7583, 11024, 282, 17370, 16766, 861, 640, 5572, 10649, 41779, 14591, 16, 334, 25036, 6271, 16, 35710, 1033, 4843, 23, 16, 22, 5096, 17085, 18, 4794, 2764, 20776, 309, 4497, 31727, 20226, 454, 16, 6177, 35309, 24552, 1747, 18276, 18, 29612, 38348, 282, 4018, 1045, 18, 478, 11648, 2457, 525, 49411, 12526, 45052, 6507, 45786, 2503, 4903, 324, 16, 1660, 2955, 2023, 396, 38520, 910, 510, 49644, 41330, 1770, 42, 55, 2058, 31043, 2415, 18251, 12507, 7988, 3588, 1740, 18, 824, 505, 3163, 16, 6966, 783, 40808, 7179, 45052, 6507, 45786, 2503, 840, 20630, 416, 1472, 282, 1750, 41969, 12647, 2898, 309, 11460, 18, 478, 6889, 2975, 6993, 4842, 3008, 339, 1270, 16, 289, 26659, 1635, 265, 18, 2787, 575, 3240, 5327, 289, 952, 8043, 16447, 16, 510, 46340, 12189, 18, 510, 16345, 14113, 24665, 622, 289, 5073, 17909, 3455, 282, 17229, 37961, 29936, 26322, 16, 1029, 840, 2259, 4693, 309, 965, 6335, 2301, 16447, 861, 29658, 32872, 16, 374, 45052, 7376, 45786, 399, 1974, 281, 478, 28828 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22200, 16, 26929, 309, 2954, 1880, 8770, 16, 5304, 281, 7396, 5578, 11203, 18, 4149, 575, 1320, 475, 481, 322, 5550, 16, 745, 30436, 1749, 16, 515, 9904, 2048, 1139, 1329, 322, 1698, 18, 1178, 329, 6814, 2450, 1083, 299, 42837, 553, 840, 14729, 5054, 16, 502, 289, 5844, 413, 282, 8384, 281, 478, 296, 4603, 758, 470, 309, 22908, 840, 1965, 2107, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 28828, 319, 470, 289, 8992, 92, 461, 49, 4166, 787, 36890, 21879, 37961, 41724, 18, 22987, 1230, 1212, 5581, 10047, 18828, 282, 5662, 9991, 38530, 1782, 890, 507, 16, 18050, 1310, 718, 24783, 289, 25359, 18, 13699, 1162, 39805, 510, 3772, 294, 10960, 17370, 16766, 289, 37712, 45786, 6546, 16, 1810, 309, 2114, 38348, 282, 4018, 1045, 18, 47720, 10685, 27944, 7726, 45786, 399, 478, 28828, 319, 470, 44433, 289, 17234, 8972, 2675, 510, 457, 13628, 17, 677, 730, 16, 478, 563, 671, 18436, 15207, 464, 486, 6637, 910, 478, 27280, 684, 323, 1528, 470, 289, 478, 12003, 12103, 399, 345, 861, 31224, 30, 471, 28828, 319, 470, 289, 25254, 39805, 8992, 92, 461, 49, 4166, 787, 282, 10666, 27875, 11418, 16, 1073, 7429, 14414, 21879, 37961, 11993, 16, 290, 2114, 2241, 17556, 282, 2343, 4160, 6705, 779, 18, 21575, 17, 13522, 289, 9272, 451, 4770, 1175, 4137, 6732, 309, 9155, 281, 20712, 7067, 18820, 8992, 92, 461, 49, 4166, 787, 15822, 3032, 457, 364, 23682, 1305, 16, 1586, 12935, 1188, 9565, 1525, 6702, 16, 4725, 16, 374, 15562, 6271, 4660, 15573, 478, 324, 17634, 3142, 289, 935, 309, 19606, 861, 478, 1358, 4660, 7803, 16, 10899, 16, 3893, 16, 374, 18653, 1505, 12890, 1747, 12652, 758, 910, 510, 2815, 7638, 18, 6592, 5524, 6279, 38271, 16, 8992, 92, 461, 49, 4166, 787, 11834, 3455, 282, 16571, 45052, 5473, 48408, 432, 15802, 282, 2776, 1212, 4993, 473, 24091, 695, 17, 4670, 609, 30738, 388, 1133, 17, 21, 16, 376, 22, 16, 376, 23, 934, 19465, 15287, 1639, 4609, 3236, 282, 1032, 16, 29, 5096, 7833, 10960, 289, 1488, 16, 23, 34278, 34184, 8697, 18, 1787, 24507, 16, 1205, 4139, 33225, 10960, 282, 2968, 4896, 2364, 1032, 16, 24, 5096, 7833, 10960, 289, 4652, 816, 16, 23, 34278, 34184, 8697, 18, 3791, 8992, 92, 461, 49, 4166, 787, 35917, 282, 4871, 12526, 5649, 9317, 7779, 718, 438, 801, 807, 309, 45786, 2800, 21938, 5420, 18, 2320, 21195, 16, 334, 23810, 25036, 16, 1698, 33749, 430, 16, 22, 5096, 7833, 14852, 434, 27301, 1321, 18, 45241, 17, 24339, 7550, 2777, 1690, 2548, 16, 374, 12890, 282, 2776, 1212, 4993, 4609, 3236, 282, 4843, 4003, 384, 18442, 5096, 16, 1601, 15735, 778, 4871, 510, 282, 4843, 3324, 5096, 18, 365, 6104, 1045, 6732, 1038, 18701, 7512, 4843, 4003, 384, 18442, 5096, 289, 5542, 4165, 16, 374, 4498, 3419, 687, 290, 26318, 6153, 4678, 18, 478, 618, 827, 3111, 381, 10266, 4639, 16, 14885, 14381, 21240, 16, 46747, 1207, 2923, 16, 502, 26945, 1698, 28780, 519, 4843, 16041, 5096, 910, 510, 4725, 7638, 18, 450, 2446, 478, 49867, 470, 282, 45052, 5473, 289, 1601, 15735, 1212, 34183, 14481, 19856, 16, 27, 7418, 8992, 92, 461, 49, 4166, 787, 510, 11114, 16, 23, 5999, 2949, 924, 16, 11418, 478, 49867, 470, 289, 8992, 92, 461, 10663, 1867, 6287, 19669, 15008, 12526, 15802, 281, 4525, 511, 24888, 30721, 3243, 4887, 10960, 439, 8563, 35590, 289, 47370, 15640, 282, 3948, 967, 598, 1683, 434, 16, 14543, 356, 712, 718, 289, 35064, 718, 40808, 17370, 16766, 473, 348, 3793, 21195, 4609, 3236, 282, 430, 16, 27, 5096, 7833, 10960, 814, 365, 10130, 25753, 4153, 11306, 281, 8992, 92, 461, 20694, 1967, 15802, 18, 365, 7544, 16775, 29591, 41172, 478, 49867, 470, 2678, 24637, 18828, 282, 1634, 34183, 282, 2145, 473, 35464, 6404, 301, 35080, 32163, 282, 18050, 1310, 1212, 43498, 289, 32163, 281, 4525, 511, 24888, 30721, 3243, 4887, 10960, 282, 1782, 890, 409, 934, 32164, 289, 1888, 7338, 18, 985, 2438, 3665, 478, 46088, 18, 8381, 910, 25254, 478, 660, 2147, 470, 478, 49867, 470, 1059, 18114, 3838, 75, 5266, 48832, 657, 17688, 37040, 4526, 8034, 281, 27845, 2555, 9, 282, 4871, 334, 49684, 4525, 511, 24888, 6036, 10960, 282, 6564, 547, 1782, 890, 409, 473, 819, 10226, 4414, 17, 1605, 11038, 665, 282, 7120, 332, 551, 1212, 38106, 934, 367, 1038, 10047, 2990, 309, 23513, 7664, 1941, 18828, 282, 1939, 12609, 292, 8992, 92, 461, 282, 18050, 1310, 1212, 43498, 18, 2949, 924, 16, 22244, 1162, 18666, 478, 49867, 470, 1075, 50, 38480, 8414, 1621, 787, 25480, 10047, 2555, 9, 282, 13157, 8474, 7821, 2042, 473, 2592, 285, 2776, 488, 748, 16, 7624, 783, 29895, 354, 282, 17370, 32164, 814, 3863, 4871, 14736, 281, 37930, 281, 1822, 1275, 346, 8697, 18, 478, 16563, 6773, 16, 961, 8992, 92, 461, 8123, 478, 49867, 910, 19282, 281, 4947, 4611, 36926, 16, 2805, 4871, 282, 32164, 16, 453, 428, 282, 1335, 4008, 11460, 289, 2303, 411, 17, 431, 14685, 6171, 8369, 39777, 477, 19226, 44907, 334, 8823, 16, 3057, 16, 294, 2689, 2818, 44258, 16, 510, 49644, 41330, 459, 1182, 822, 478, 6207, 1748, 300, 691, 470, 17711, 26255, 523, 18, 510, 740, 541, 478, 49867, 470, 17632, 3300, 510, 14874, 8786, 19915, 4525, 511, 24888, 6036, 10960, 289, 8697, 16, 961, 282, 10130, 1698, 953, 27603, 7583, 11024, 282, 17370, 16766, 861, 640, 5572, 10649, 41779, 14591, 16, 334, 25036, 6271, 16, 35710, 1033, 4843, 23, 16, 22, 5096, 17085, 18, 4794, 2764, 20776, 309, 4497, 31727, 20226, 454, 16, 6177, 35309, 24552, 1747, 18276, 18, 29612, 38348, 282, 4018, 1045, 18, 478, 11648, 2457, 525, 49411, 12526, 45052, 6507, 45786, 2503, 4903, 324, 16, 1660, 2955, 2023, 396, 38520, 910, 510, 49644, 41330, 1770, 42, 55, 2058, 31043, 2415, 18251, 12507, 7988, 3588, 1740, 18, 824, 505, 3163, 16, 6966, 783, 40808, 7179, 45052, 6507, 45786, 2503, 840, 20630, 416, 1472, 282, 1750, 41969, 12647, 2898, 309, 11460, 18, 478, 6889, 2975, 6993, 4842, 3008, 339, 1270, 16, 289, 26659, 1635, 265, 18, 2787, 575, 3240, 5327, 289, 952, 8043, 16447, 16, 510, 46340, 12189, 18, 510, 16345, 14113, 24665, 622, 289, 5073, 17909, 3455, 282, 17229, 37961, 29936, 26322, 16, 1029, 840, 2259, 4693, 309, 965, 6335, 2301, 16447, 861, 29658, 32872, 16, 374, 45052, 7376, 45786, 399, 1974, 281, 478, 28828 ]
[ 12411, 470, 840, 13458, 874, 7211, 1162, 365, 730, 18, 365, 8151, 3612, 4440, 779, 2241, 19645, 290, 25873, 11418, 334, 7544, 272, 1069, 5613, 473, 677, 730, 2879, 906, 10173, 478, 49867, 470, 1061, 9, 11400, 16, 16150, 23711, 1658, 16, 25, 9, 11400, 7583, 2241, 16, 35964, 4609, 2919, 282, 4843, 27, 16, 28, 5096, 13, 289, 11184, 32269, 5754, 541, 36633, 3437, 15802, 282, 2776, 1212, 4993, 281, 47812, 3243, 4887, 282, 1061, 5096, 7833, 10960, 289, 1533, 34278, 34184, 8697, 18, 21636, 1821, 1924, 26945, 282, 4871, 4609, 2919, 360, 4843, 21, 16, 24, 5096, 519, 4843, 22, 5096, 18, 478, 563, 747, 454, 779, 470, 12099, 3064, 2777, 1690, 18, 740, 10933, 1069, 22805, 457, 13628, 17, 677, 730, 510, 4956, 350, 377, 748, 776, 19789, 473, 14880, 74, 69, 8299, 13536, 19791, 5687, 1624, 14805, 5553, 39771, 14625, 24198, 23248, 504, 3897, 266, 837, 289, 1075, 534, 27933, 17514, 46853, 12887, 21145, 6778, 510, 19341, 1279, 18, 824, 697, 4734, 16, 23970, 267, 951, 52, 289, 478, 49867, 470, 27809, 29186, 448, 11418, 457, 13628, 17, 677, 730, 18, 6592, 773, 16, 7211, 1162, 3785, 2879, 5245, 2651, 1423, 5998, 282, 1175, 6836, 1248, 457, 13628, 17, 677, 730, 18, 365, 11366, 4440, 779, 37553, 277, 778, 26311, 5930, 364, 30, 7544, 1069, 5613, 1251, 951, 52, 289, 478, 28828, 12411, 470, 28648, 16, 687, 827, 457, 13628, 17, 38, 52, 35917, 282, 45052, 7376, 4871, 18, 2112, 978, 478, 28828, 319, 470, 28361, 2210, 28510, 18, 28616, 36562, 16, 374, 36273, 281, 365, 730, 906, 373, 12839, 574, 845, 16, 828, 15562, 281, 8992, 92, 461, 49, 4166, 787, 16, 1717, 1548, 16, 374, 678, 373, 20147, 478, 49867, 470, 7544, 990, 1617, 34455, 2607, 1133, 8379, 309, 12237, 282, 29076, 2241, 18, 2877, 478, 28828, 319, 470, 9013, 36832, 309, 45786, 399, 322, 687, 7796, 17815, 18, 9668, 2241, 28635, 768, 795, 295, 324, 712, 2815, 282, 10666, 16, 374, 309, 13519, 11056, 478, 28828, 319, 470, 44433, 5771, 457, 13628, 17, 677, 730, 16, 478, 563, 671, 18436, 15207, 464, 486, 6637, 910, 478, 27280, 684, 323, 1528, 470, 289, 478, 12003, 12103, 399, 345, 861, 9712, 1212, 5581, 8123, 2483, 4151, 28676, 309, 722, 45786, 399, 1385, 34183, 309, 1110, 575, 4190, 16, 374, 289, 8992, 92, 461, 49, 4166, 787, 18, 824, 3163, 768, 795, 295, 4752, 401, 16, 7059, 639, 11742, 334, 1912, 1951, 1876, 309, 45786, 2800, 16, 282, 970, 2875, 289, 282, 20120, 478, 3045, 323, 10717, 470, 5002, 286, 15043, 5420, 473, 45259, 16, 334, 1754, 4419, 3771, 23553, 332, 281, 19597, 46426, 934, 289, 282, 3948, 24041, 1204, 680, 1767, 18, 478, 4348, 18310, 773, 2874, 7940, 1505, 11418, 290, 21992, 16, 988, 32727, 30824, 541, 1209, 2644, 910, 510, 1109, 5037, 478, 49867, 861, 640, 13519, 11056, 25727, 2241, 20353, 281, 34496, 294, 28505, 29813, 18, 28699, 1079, 1157, 24581, 15893, 697, 294, 4842, 7223, 45786, 2503, 16, 1576, 7892, 16, 374, 749, 697, 8465, 7938, 36633, 45786, 399, 1385, 27560, 322, 840, 7243, 8140, 18, 6732, 2815, 16, 374, 726, 4263, 34550, 23318, 8695, 1195, 867, 16, 428, 281, 6097, 38875, 4292, 2253, 25727, 10933, 2241, 309, 45786, 399, 1505, 12890, 18, 478, 4348, 281, 6097, 16826, 29446, 7059, 478, 49867, 910, 289, 16, 827, 2650, 840, 11558, 27952, 3338, 37001, 16, 3785, 9013, 21790, 3775, 8465, 282, 45786, 399, 1385, 34183, 16, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 478, 27280, 684, 323, 332, 861, 510, 1345, 25684, 481, 5216, 13746, 294, 11417, 8898, 1640, 12717, 294, 37712, 45052, 33557, 45786, 6546, 861, 457, 13628, 17, 677, 730, 360, 15841, 18889, 16, 20607, 281, 478, 12003, 12103, 399, 12411, 470, 289, 478, 563, 671, 18436, 15207, 464, 17792, 304, 470, 322, 3225, 478, 45534, 662, 1576, 857, 16, 374, 20015, 15893, 309, 45786, 399, 25727, 2241, 16, 289, 478, 28828, 319, 470, 19912, 3003, 18112, 1069, 26932, 16, 510, 2548, 26255, 523, 18, 510, 12926, 382, 16, 961, 8566, 768, 795, 295, 324, 712, 16, 8329, 411, 3322, 17521, 9206, 478, 49867, 861, 1303, 840, 24960, 360, 34388, 41823, 861, 37729, 4725, 16, 374, 2388, 2241, 16, 428, 457, 13628, 17, 677, 730, 16, 478, 563, 671, 18436, 15207, 464, 17792, 470, 289, 478, 12003, 12103, 399, 319, 910, 322, 14417, 35256, 14836, 286, 2206, 541, 1810, 309, 5288, 39581, 547, 45786, 2800, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 3997, 938, 2503, 31324, 1409, 7703, 30802, 282, 625, 791, 412, 1290, 2756, 21729, 17192, 334, 5447, 20697, 10294, 18, 37620, 783, 18889, 360, 30104, 1728, 4090, 31324, 1409, 8318, 60, 1492, 37831, 14925, 32948, 282, 15770, 16, 7044, 289, 1888, 36883, 292, 371, 262, 5220, 1867, 19473, 15325, 38982, 978, 4528, 18, 31224, 30, 38, 30144, 322, 840, 8197, 13920, 1066, 1728, 16970, 1081, 10601, 31324, 1409, 8318, 60, 2511, 3990, 16, 428, 481, 32872, 4419, 18, 2112, 19349, 282, 625, 791, 412, 1290, 47402, 31324, 1409, 7703, 30802, 39805, 12026, 3003, 31372, 478, 17354, 662, 281, 12408, 470, 4090, 2836, 3822, 47151, 9406, 10601, 18, 478, 4348, 3984, 19406, 2678, 8097, 28910, 4090, 10601, 282, 26290, 7823, 910, 376, 40530, 30572, 21408, 282, 19504, 18, 640, 3614, 31324, 3043, 9069, 8495, 290, 970, 16, 374, 50200, 4786, 31324, 36476, 309, 1756, 32167, 541, 23196, 22551, 3599, 424, 9444, 40206, 334, 41955, 5447, 4568, 43211, 282, 625, 791, 412, 1290, 289, 22212, 7067, 334, 3623, 309, 26402, 2145, 18, 478, 4348, 11767, 339, 2874, 7101, 564, 49156, 38083, 289, 24074, 11462, 289, 7032, 15574, 289, 6354, 17126, 8616, 1302, 1418, 77, 1661, 2034, 45039, 910, 376, 5130, 282, 9907, 18, 37725, 31324, 1409, 7703, 30802, 1488, 1727, 7831, 411, 4508, 22528, 17, 618, 636, 919, 282, 11909, 26921, 289, 43717, 282, 625, 791, 412, 1290, 1533, 3990, 18, 1303, 1760, 27, 1135, 16, 6895, 7109, 7032, 15574, 16, 48877, 309, 11336, 16, 9100, 18, 6831, 1129, 898, 14429, 11114, 2044, 16, 6895, 3437, 11854, 16, 667, 6814, 9085, 18, 889, 2438, 2992, 8569, 32502, 541, 15325, 38982, 31324, 1409, 7703, 30802, 1488, 349, 4101, 13591, 18, 4518, 3802, 11826, 779, 1574, 575, 31324, 43717, 282, 45184, 2719, 1467, 333, 441, 548, 18, 967, 970, 16, 374, 6966, 783, 8389, 4528, 15038, 9601, 1472, 282, 7847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12411, 470, 840, 13458, 874, 7211, 1162, 365, 730, 18, 365, 8151, 3612, 4440, 779, 2241, 19645, 290, 25873, 11418, 334, 7544, 272, 1069, 5613, 473, 677, 730, 2879, 906, 10173, 478, 49867, 470, 1061, 9, 11400, 16, 16150, 23711, 1658, 16, 25, 9, 11400, 7583, 2241, 16, 35964, 4609, 2919, 282, 4843, 27, 16, 28, 5096, 13, 289, 11184, 32269, 5754, 541, 36633, 3437, 15802, 282, 2776, 1212, 4993, 281, 47812, 3243, 4887, 282, 1061, 5096, 7833, 10960, 289, 1533, 34278, 34184, 8697, 18, 21636, 1821, 1924, 26945, 282, 4871, 4609, 2919, 360, 4843, 21, 16, 24, 5096, 519, 4843, 22, 5096, 18, 478, 563, 747, 454, 779, 470, 12099, 3064, 2777, 1690, 18, 740, 10933, 1069, 22805, 457, 13628, 17, 677, 730, 510, 4956, 350, 377, 748, 776, 19789, 473, 14880, 74, 69, 8299, 13536, 19791, 5687, 1624, 14805, 5553, 39771, 14625, 24198, 23248, 504, 3897, 266, 837, 289, 1075, 534, 27933, 17514, 46853, 12887, 21145, 6778, 510, 19341, 1279, 18, 824, 697, 4734, 16, 23970, 267, 951, 52, 289, 478, 49867, 470, 27809, 29186, 448, 11418, 457, 13628, 17, 677, 730, 18, 6592, 773, 16, 7211, 1162, 3785, 2879, 5245, 2651, 1423, 5998, 282, 1175, 6836, 1248, 457, 13628, 17, 677, 730, 18, 365, 11366, 4440, 779, 37553, 277, 778, 26311, 5930, 364, 30, 7544, 1069, 5613, 1251, 951, 52, 289, 478, 28828, 12411, 470, 28648, 16, 687, 827, 457, 13628, 17, 38, 52, 35917, 282, 45052, 7376, 4871, 18, 2112, 978, 478, 28828, 319, 470, 28361, 2210, 28510, 18, 28616, 36562, 16, 374, 36273, 281, 365, 730, 906, 373, 12839, 574, 845, 16, 828, 15562, 281, 8992, 92, 461, 49, 4166, 787, 16, 1717, 1548, 16, 374, 678, 373, 20147, 478, 49867, 470, 7544, 990, 1617, 34455, 2607, 1133, 8379, 309, 12237, 282, 29076, 2241, 18, 2877, 478, 28828, 319, 470, 9013, 36832, 309, 45786, 399, 322, 687, 7796, 17815, 18, 9668, 2241, 28635, 768, 795, 295, 324, 712, 2815, 282, 10666, 16, 374, 309, 13519, 11056, 478, 28828, 319, 470, 44433, 5771, 457, 13628, 17, 677, 730, 16, 478, 563, 671, 18436, 15207, 464, 486, 6637, 910, 478, 27280, 684, 323, 1528, 470, 289, 478, 12003, 12103, 399, 345, 861, 9712, 1212, 5581, 8123, 2483, 4151, 28676, 309, 722, 45786, 399, 1385, 34183, 309, 1110, 575, 4190, 16, 374, 289, 8992, 92, 461, 49, 4166, 787, 18, 824, 3163, 768, 795, 295, 4752, 401, 16, 7059, 639, 11742, 334, 1912, 1951, 1876, 309, 45786, 2800, 16, 282, 970, 2875, 289, 282, 20120, 478, 3045, 323, 10717, 470, 5002, 286, 15043, 5420, 473, 45259, 16, 334, 1754, 4419, 3771, 23553, 332, 281, 19597, 46426, 934, 289, 282, 3948, 24041, 1204, 680, 1767, 18, 478, 4348, 18310, 773, 2874, 7940, 1505, 11418, 290, 21992, 16, 988, 32727, 30824, 541, 1209, 2644, 910, 510, 1109, 5037, 478, 49867, 861, 640, 13519, 11056, 25727, 2241, 20353, 281, 34496, 294, 28505, 29813, 18, 28699, 1079, 1157, 24581, 15893, 697, 294, 4842, 7223, 45786, 2503, 16, 1576, 7892, 16, 374, 749, 697, 8465, 7938, 36633, 45786, 399, 1385, 27560, 322, 840, 7243, 8140, 18, 6732, 2815, 16, 374, 726, 4263, 34550, 23318, 8695, 1195, 867, 16, 428, 281, 6097, 38875, 4292, 2253, 25727, 10933, 2241, 309, 45786, 399, 1505, 12890, 18, 478, 4348, 281, 6097, 16826, 29446, 7059, 478, 49867, 910, 289, 16, 827, 2650, 840, 11558, 27952, 3338, 37001, 16, 3785, 9013, 21790, 3775, 8465, 282, 45786, 399, 1385, 34183, 16, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 478, 27280, 684, 323, 332, 861, 510, 1345, 25684, 481, 5216, 13746, 294, 11417, 8898, 1640, 12717, 294, 37712, 45052, 33557, 45786, 6546, 861, 457, 13628, 17, 677, 730, 360, 15841, 18889, 16, 20607, 281, 478, 12003, 12103, 399, 12411, 470, 289, 478, 563, 671, 18436, 15207, 464, 17792, 304, 470, 322, 3225, 478, 45534, 662, 1576, 857, 16, 374, 20015, 15893, 309, 45786, 399, 25727, 2241, 16, 289, 478, 28828, 319, 470, 19912, 3003, 18112, 1069, 26932, 16, 510, 2548, 26255, 523, 18, 510, 12926, 382, 16, 961, 8566, 768, 795, 295, 324, 712, 16, 8329, 411, 3322, 17521, 9206, 478, 49867, 861, 1303, 840, 24960, 360, 34388, 41823, 861, 37729, 4725, 16, 374, 2388, 2241, 16, 428, 457, 13628, 17, 677, 730, 16, 478, 563, 671, 18436, 15207, 464, 17792, 470, 289, 478, 12003, 12103, 399, 319, 910, 322, 14417, 35256, 14836, 286, 2206, 541, 1810, 309, 5288, 39581, 547, 45786, 2800, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 3997, 938, 2503, 31324, 1409, 7703, 30802, 282, 625, 791, 412, 1290, 2756, 21729, 17192, 334, 5447, 20697, 10294, 18, 37620, 783, 18889, 360, 30104, 1728, 4090, 31324, 1409, 8318, 60, 1492, 37831, 14925, 32948, 282, 15770, 16, 7044, 289, 1888, 36883, 292, 371, 262, 5220, 1867, 19473, 15325, 38982, 978, 4528, 18, 31224, 30, 38, 30144, 322, 840, 8197, 13920, 1066, 1728, 16970, 1081, 10601, 31324, 1409, 8318, 60, 2511, 3990, 16, 428, 481, 32872, 4419, 18, 2112, 19349, 282, 625, 791, 412, 1290, 47402, 31324, 1409, 7703, 30802, 39805, 12026, 3003, 31372, 478, 17354, 662, 281, 12408, 470, 4090, 2836, 3822, 47151, 9406, 10601, 18, 478, 4348, 3984, 19406, 2678, 8097, 28910, 4090, 10601, 282, 26290, 7823, 910, 376, 40530, 30572, 21408, 282, 19504, 18, 640, 3614, 31324, 3043, 9069, 8495, 290, 970, 16, 374, 50200, 4786, 31324, 36476, 309, 1756, 32167, 541, 23196, 22551, 3599, 424, 9444, 40206, 334, 41955, 5447, 4568, 43211, 282, 625, 791, 412, 1290, 289, 22212, 7067, 334, 3623, 309, 26402, 2145, 18, 478, 4348, 11767, 339, 2874, 7101, 564, 49156, 38083, 289, 24074, 11462, 289, 7032, 15574, 289, 6354, 17126, 8616, 1302, 1418, 77, 1661, 2034, 45039, 910, 376, 5130, 282, 9907, 18, 37725, 31324, 1409, 7703, 30802, 1488, 1727, 7831, 411, 4508, 22528, 17, 618, 636, 919, 282, 11909, 26921, 289, 43717, 282, 625, 791, 412, 1290, 1533, 3990, 18, 1303, 1760, 27, 1135, 16, 6895, 7109, 7032, 15574, 16, 48877, 309, 11336, 16, 9100, 18, 6831, 1129, 898, 14429, 11114, 2044, 16, 6895, 3437, 11854, 16, 667, 6814, 9085, 18, 889, 2438, 2992, 8569, 32502, 541, 15325, 38982, 31324, 1409, 7703, 30802, 1488, 349, 4101, 13591, 18, 4518, 3802, 11826, 779, 1574, 575, 31324, 43717, 282, 45184, 2719, 1467, 333, 441, 548, 18, 967, 970, 16, 374, 6966, 783, 8389, 4528, 15038, 9601, 1472, 282, 7847 ]
[ 1045, 18, 15084, 36343, 7756, 30802, 2125, 898, 14476, 19311, 31324, 1409, 7703, 1059, 11853, 1180, 5753, 1096, 18, 15084, 1458, 1409, 7703, 860, 37, 60, 1559, 3818, 2245, 26584, 45381, 282, 3182, 31324, 18, 32166, 25241, 309, 1047, 334, 4547, 8290, 726, 6245, 48879, 29323, 16482, 18, 6592, 3761, 18990, 16, 2496, 17605, 15038, 860, 37, 60, 4090, 11358, 510, 1409, 16, 1488, 289, 1658, 510, 22170, 16, 6895, 10933, 715, 27, 16, 478, 1358, 9229, 1133, 3824, 414, 750, 910, 478, 38654, 2362, 470, 1624, 37186, 9905, 12293, 6407, 16, 20761, 45039, 16, 367, 1038, 1241, 3430, 1133, 3824, 414, 750, 16, 1149, 1112, 72, 2014, 7463, 16, 7119, 45039, 289, 2393, 18, 4756, 290, 18979, 3007, 1507, 1595, 5447, 3533, 273, 5213, 9832, 31324, 1409, 7703, 16124, 60, 28, 27834, 3801, 272, 405, 1318, 478, 672, 29406, 861, 478, 41472, 2179, 1262, 22170, 6494, 35780, 349, 6347, 4838, 289, 6535, 282, 38921, 9029, 2517, 281, 46074, 18, 4320, 4302, 36219, 360, 31324, 290, 5941, 14640, 382, 30384, 309, 31324, 1409, 7703, 16124, 60, 282, 22170, 322, 48273, 910, 376, 13202, 4110, 282, 3781, 17, 12495, 715, 27, 18, 2046, 1817, 14925, 32948, 726, 349, 4207, 290, 14640, 582, 30384, 978, 17257, 18, 365, 3239, 37878, 309, 31324, 1409, 7703, 30802, 1488, 14640, 925, 1302, 1418, 77, 1661, 2034, 45039, 16, 7211, 1162, 769, 1201, 3335, 9905, 18166, 18, 967, 13434, 649, 37878, 15325, 38982, 2900, 4528, 519, 4511, 2166, 4284, 15532, 5415, 16317, 289, 2891, 25198, 18, 824, 3761, 7368, 20855, 16, 282, 25198, 28571, 4164, 7431, 5259, 15038, 31324, 1409, 7703, 860, 37, 60, 18, 478, 9489, 15133, 2160, 13631, 3069, 1302, 1418, 77, 1661, 2034, 45039, 6554, 14640, 649, 37878, 1209, 31324, 1409, 7703, 860, 37, 60, 1488, 16, 10394, 477, 33470, 2299, 376, 1533, 3990, 26155, 779, 376, 519, 18571, 29862, 910, 376, 5130, 282, 9907, 2241, 282, 15797, 18, 3747, 1055, 5869, 19349, 475, 764, 322, 19556, 16, 1574, 3321, 19348, 478, 275, 3106, 26349, 7272, 44142, 910, 15135, 5447, 44472, 2572, 18, 415, 970, 16, 374, 281, 5213, 9832, 860, 37, 60, 322, 475, 32000, 2438, 6218, 282, 12838, 282, 4542, 15140, 4284, 584, 7357, 47481, 680, 19524, 18, 44662, 399, 7434, 4760, 281, 583, 9203, 1275, 15075, 16, 374, 567, 808, 10700, 4593, 16374, 584, 7357, 47481, 778, 19171, 1033, 10848, 445, 10908, 4984, 20577, 564, 17009, 10601, 16, 2486, 39740, 5127, 9862, 4461, 16, 1958, 8518, 309, 803, 9878, 1925, 1035, 10601, 18, 14654, 3419, 290, 6829, 860, 39, 12059, 473, 3335, 73, 89, 1419, 657, 15632, 36090, 407, 4501, 2415, 1096, 9039, 814, 640, 28549, 834, 30567, 1634, 15038, 31324, 722, 322, 7154, 937, 16, 367, 290, 970, 16, 374, 678, 1441, 912, 309, 860, 37, 60, 39805, 13349, 1154, 22170, 1472, 1011, 19524, 282, 45184, 18, 4922, 4461, 12745, 3524, 16179, 2283, 10601, 3760, 16, 827, 5273, 16, 374, 492, 2916, 616, 2410, 8052, 16, 289, 2733, 2175, 10908, 2285, 19274, 2235, 510, 38187, 17325, 16395, 416, 3402, 411, 17, 431, 41830, 19459, 18, 2046, 282, 1750, 322, 4261, 7310, 4096, 2283, 47402, 411, 17, 431, 1335, 8819, 895, 3524, 14817, 453, 16, 374, 18351, 322, 5304, 47086, 2795, 6413, 289, 492, 21159, 282, 1001, 582, 935, 371, 579, 4267, 18617, 18, 478, 563, 697, 1963, 639, 5010, 1116, 13746, 9025, 6138, 309, 19208, 289, 322, 13349, 649, 381, 803, 34411, 16, 961, 1827, 5802, 7396, 5213, 9832, 910, 510, 2815, 1655, 8624, 8424, 334, 3623, 282, 15137, 10280, 4595, 969, 787, 16650, 18917, 473, 37, 21745, 16, 10787, 2364, 1760, 4500, 18, 14925, 32948, 13, 22004, 19209, 288, 18, 28616, 25156, 16, 374, 10546, 35405, 349, 13591, 895, 8249, 13190, 1920, 309, 38423, 7462, 4173, 18, 2112, 4056, 19524, 282, 45184, 8296, 44549, 4281, 887, 309, 1533, 9, 4803, 18250, 16837, 291, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 6435, 1184, 476, 16, 2437, 1682, 344, 11100, 30429, 349, 30490, 4830, 2665, 10403, 9344, 16, 35132, 1500, 575, 479, 20986, 16, 1029, 35180, 282, 27803, 416, 14016, 7179, 15465, 9001, 9620, 282, 4018, 1045, 18, 8859, 5065, 653, 435, 43247, 11226, 9344, 37290, 726, 1272, 4570, 18, 31224, 30, 672, 841, 10292, 8347, 16695, 31010, 2904, 309, 6435, 1184, 280, 14769, 15465, 10403, 9344, 1624, 309, 2114, 3702, 282, 3702, 46479, 27803, 451, 19167, 297, 505, 7179, 14703, 9001, 6732, 367, 4018, 779, 18, 14654, 3419, 290, 11308, 263, 478, 47223, 488, 3685, 10653, 13745, 299, 510, 4770, 1176, 910, 1586, 45682, 309, 8338, 5075, 428, 478, 47223, 488, 347, 712, 1269, 510, 4770, 1176, 861, 4635, 1574, 479, 20986, 4770, 1175, 17463, 282, 1360, 27803, 416, 14016, 282, 4018, 1045, 18, 478, 48428, 291, 1917, 30577, 45923, 289, 3988, 2135, 39603, 746, 723, 14743, 18484, 46321, 887, 910, 510, 6463, 1176, 411, 9983, 18, 3791, 4216, 1250, 31010, 2904, 16, 374, 481, 322, 8970, 478, 328, 5322, 6965, 470, 6435, 1184, 280, 18, 478, 8706, 433, 268, 77, 497, 1668, 16, 367, 322, 316, 10752, 3431, 77, 381, 77, 321, 45126, 910, 510, 31999, 479, 20986, 9344, 18, 478, 8706, 1924, 1101, 16, 367, 322, 24362, 33812, 910, 510, 639, 9921, 309, 6435, 1184, 5706, 282, 8156, 9001, 9620, 18, 478, 3096, 446, 8228, 7820, 910, 510, 29325, 695, 8476, 17656, 2016, 29562, 3850, 18, 478, 2176, 49851, 3736, 944, 986, 300, 16, 479, 20986, 16813, 597, 1766, 5932, 18, 35119, 309, 29450, 315, 18908, 45795, 411, 4889, 9302, 429, 478, 11699, 341, 289, 3148, 470, 289, 986, 309, 1760, 4770, 662, 23245, 2341, 4684, 910, 510, 6463, 2107, 4216, 755, 18, 824, 4734, 9983, 5324, 16, 329, 27803, 434, 12183, 9344, 1139, 39008, 2561, 31164, 541, 6143, 10355, 479, 317, 4083, 16, 2391, 745, 5658, 33968, 1519, 726, 43347, 33574, 19550, 18, 7699, 32039, 43922, 272, 19167, 1798, 867, 16, 374, 9344, 1139, 9414, 478, 1567, 37471, 1375, 353, 344, 861, 478, 25095, 10668, 16, 374, 6732, 510, 1375, 6952, 541, 9344, 910, 510, 6463, 1176, 411, 9983, 29452, 355, 18, 3026, 1038, 5501, 925, 16, 374, 9344, 895, 26160, 12287, 506, 302, 24955, 660, 18, 5043, 16, 360, 1335, 7475, 475, 575, 17245, 411, 17, 431, 322, 10323, 6876, 6974, 14769, 4830, 18, 478, 684, 13164, 334, 302, 24955, 660, 309, 19141, 454, 387, 503, 1738, 16, 36765, 910, 510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1045, 18, 15084, 36343, 7756, 30802, 2125, 898, 14476, 19311, 31324, 1409, 7703, 1059, 11853, 1180, 5753, 1096, 18, 15084, 1458, 1409, 7703, 860, 37, 60, 1559, 3818, 2245, 26584, 45381, 282, 3182, 31324, 18, 32166, 25241, 309, 1047, 334, 4547, 8290, 726, 6245, 48879, 29323, 16482, 18, 6592, 3761, 18990, 16, 2496, 17605, 15038, 860, 37, 60, 4090, 11358, 510, 1409, 16, 1488, 289, 1658, 510, 22170, 16, 6895, 10933, 715, 27, 16, 478, 1358, 9229, 1133, 3824, 414, 750, 910, 478, 38654, 2362, 470, 1624, 37186, 9905, 12293, 6407, 16, 20761, 45039, 16, 367, 1038, 1241, 3430, 1133, 3824, 414, 750, 16, 1149, 1112, 72, 2014, 7463, 16, 7119, 45039, 289, 2393, 18, 4756, 290, 18979, 3007, 1507, 1595, 5447, 3533, 273, 5213, 9832, 31324, 1409, 7703, 16124, 60, 28, 27834, 3801, 272, 405, 1318, 478, 672, 29406, 861, 478, 41472, 2179, 1262, 22170, 6494, 35780, 349, 6347, 4838, 289, 6535, 282, 38921, 9029, 2517, 281, 46074, 18, 4320, 4302, 36219, 360, 31324, 290, 5941, 14640, 382, 30384, 309, 31324, 1409, 7703, 16124, 60, 282, 22170, 322, 48273, 910, 376, 13202, 4110, 282, 3781, 17, 12495, 715, 27, 18, 2046, 1817, 14925, 32948, 726, 349, 4207, 290, 14640, 582, 30384, 978, 17257, 18, 365, 3239, 37878, 309, 31324, 1409, 7703, 30802, 1488, 14640, 925, 1302, 1418, 77, 1661, 2034, 45039, 16, 7211, 1162, 769, 1201, 3335, 9905, 18166, 18, 967, 13434, 649, 37878, 15325, 38982, 2900, 4528, 519, 4511, 2166, 4284, 15532, 5415, 16317, 289, 2891, 25198, 18, 824, 3761, 7368, 20855, 16, 282, 25198, 28571, 4164, 7431, 5259, 15038, 31324, 1409, 7703, 860, 37, 60, 18, 478, 9489, 15133, 2160, 13631, 3069, 1302, 1418, 77, 1661, 2034, 45039, 6554, 14640, 649, 37878, 1209, 31324, 1409, 7703, 860, 37, 60, 1488, 16, 10394, 477, 33470, 2299, 376, 1533, 3990, 26155, 779, 376, 519, 18571, 29862, 910, 376, 5130, 282, 9907, 2241, 282, 15797, 18, 3747, 1055, 5869, 19349, 475, 764, 322, 19556, 16, 1574, 3321, 19348, 478, 275, 3106, 26349, 7272, 44142, 910, 15135, 5447, 44472, 2572, 18, 415, 970, 16, 374, 281, 5213, 9832, 860, 37, 60, 322, 475, 32000, 2438, 6218, 282, 12838, 282, 4542, 15140, 4284, 584, 7357, 47481, 680, 19524, 18, 44662, 399, 7434, 4760, 281, 583, 9203, 1275, 15075, 16, 374, 567, 808, 10700, 4593, 16374, 584, 7357, 47481, 778, 19171, 1033, 10848, 445, 10908, 4984, 20577, 564, 17009, 10601, 16, 2486, 39740, 5127, 9862, 4461, 16, 1958, 8518, 309, 803, 9878, 1925, 1035, 10601, 18, 14654, 3419, 290, 6829, 860, 39, 12059, 473, 3335, 73, 89, 1419, 657, 15632, 36090, 407, 4501, 2415, 1096, 9039, 814, 640, 28549, 834, 30567, 1634, 15038, 31324, 722, 322, 7154, 937, 16, 367, 290, 970, 16, 374, 678, 1441, 912, 309, 860, 37, 60, 39805, 13349, 1154, 22170, 1472, 1011, 19524, 282, 45184, 18, 4922, 4461, 12745, 3524, 16179, 2283, 10601, 3760, 16, 827, 5273, 16, 374, 492, 2916, 616, 2410, 8052, 16, 289, 2733, 2175, 10908, 2285, 19274, 2235, 510, 38187, 17325, 16395, 416, 3402, 411, 17, 431, 41830, 19459, 18, 2046, 282, 1750, 322, 4261, 7310, 4096, 2283, 47402, 411, 17, 431, 1335, 8819, 895, 3524, 14817, 453, 16, 374, 18351, 322, 5304, 47086, 2795, 6413, 289, 492, 21159, 282, 1001, 582, 935, 371, 579, 4267, 18617, 18, 478, 563, 697, 1963, 639, 5010, 1116, 13746, 9025, 6138, 309, 19208, 289, 322, 13349, 649, 381, 803, 34411, 16, 961, 1827, 5802, 7396, 5213, 9832, 910, 510, 2815, 1655, 8624, 8424, 334, 3623, 282, 15137, 10280, 4595, 969, 787, 16650, 18917, 473, 37, 21745, 16, 10787, 2364, 1760, 4500, 18, 14925, 32948, 13, 22004, 19209, 288, 18, 28616, 25156, 16, 374, 10546, 35405, 349, 13591, 895, 8249, 13190, 1920, 309, 38423, 7462, 4173, 18, 2112, 4056, 19524, 282, 45184, 8296, 44549, 4281, 887, 309, 1533, 9, 4803, 18250, 16837, 291, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 6435, 1184, 476, 16, 2437, 1682, 344, 11100, 30429, 349, 30490, 4830, 2665, 10403, 9344, 16, 35132, 1500, 575, 479, 20986, 16, 1029, 35180, 282, 27803, 416, 14016, 7179, 15465, 9001, 9620, 282, 4018, 1045, 18, 8859, 5065, 653, 435, 43247, 11226, 9344, 37290, 726, 1272, 4570, 18, 31224, 30, 672, 841, 10292, 8347, 16695, 31010, 2904, 309, 6435, 1184, 280, 14769, 15465, 10403, 9344, 1624, 309, 2114, 3702, 282, 3702, 46479, 27803, 451, 19167, 297, 505, 7179, 14703, 9001, 6732, 367, 4018, 779, 18, 14654, 3419, 290, 11308, 263, 478, 47223, 488, 3685, 10653, 13745, 299, 510, 4770, 1176, 910, 1586, 45682, 309, 8338, 5075, 428, 478, 47223, 488, 347, 712, 1269, 510, 4770, 1176, 861, 4635, 1574, 479, 20986, 4770, 1175, 17463, 282, 1360, 27803, 416, 14016, 282, 4018, 1045, 18, 478, 48428, 291, 1917, 30577, 45923, 289, 3988, 2135, 39603, 746, 723, 14743, 18484, 46321, 887, 910, 510, 6463, 1176, 411, 9983, 18, 3791, 4216, 1250, 31010, 2904, 16, 374, 481, 322, 8970, 478, 328, 5322, 6965, 470, 6435, 1184, 280, 18, 478, 8706, 433, 268, 77, 497, 1668, 16, 367, 322, 316, 10752, 3431, 77, 381, 77, 321, 45126, 910, 510, 31999, 479, 20986, 9344, 18, 478, 8706, 1924, 1101, 16, 367, 322, 24362, 33812, 910, 510, 639, 9921, 309, 6435, 1184, 5706, 282, 8156, 9001, 9620, 18, 478, 3096, 446, 8228, 7820, 910, 510, 29325, 695, 8476, 17656, 2016, 29562, 3850, 18, 478, 2176, 49851, 3736, 944, 986, 300, 16, 479, 20986, 16813, 597, 1766, 5932, 18, 35119, 309, 29450, 315, 18908, 45795, 411, 4889, 9302, 429, 478, 11699, 341, 289, 3148, 470, 289, 986, 309, 1760, 4770, 662, 23245, 2341, 4684, 910, 510, 6463, 2107, 4216, 755, 18, 824, 4734, 9983, 5324, 16, 329, 27803, 434, 12183, 9344, 1139, 39008, 2561, 31164, 541, 6143, 10355, 479, 317, 4083, 16, 2391, 745, 5658, 33968, 1519, 726, 43347, 33574, 19550, 18, 7699, 32039, 43922, 272, 19167, 1798, 867, 16, 374, 9344, 1139, 9414, 478, 1567, 37471, 1375, 353, 344, 861, 478, 25095, 10668, 16, 374, 6732, 510, 1375, 6952, 541, 9344, 910, 510, 6463, 1176, 411, 9983, 29452, 355, 18, 3026, 1038, 5501, 925, 16, 374, 9344, 895, 26160, 12287, 506, 302, 24955, 660, 18, 5043, 16, 360, 1335, 7475, 475, 575, 17245, 411, 17, 431, 322, 10323, 6876, 6974, 14769, 4830, 18, 478, 684, 13164, 334, 302, 24955, 660, 309, 19141, 454, 387, 503, 1738, 16, 36765, 910, 510 ]
[ 11836, 2107, 4216, 755, 18, 365, 2343, 3612, 9402, 541, 22873, 2458, 19908, 548, 282, 11379, 16, 3043, 11328, 309, 30879, 334, 50177, 954, 10403, 9344, 38345, 282, 32712, 2665, 309, 2992, 3017, 18, 6698, 343, 548, 12547, 1807, 3313, 8488, 20196, 16, 309, 2114, 35294, 28367, 2420, 2155, 1175, 289, 2665, 18, 478, 10393, 612, 9344, 2988, 6732, 910, 510, 738, 7102, 12668, 309, 1129, 18, 9857, 478, 46570, 662, 470, 11091, 435, 2904, 19683, 14840, 15310, 7796, 1552, 2407, 15073, 21106, 1161, 18, 478, 618, 6732, 282, 11069, 16, 374, 505, 309, 4862, 1698, 4226, 9344, 7694, 35, 10482, 16, 428, 1747, 13168, 33298, 337, 910, 510, 18585, 678, 309, 1360, 7759, 282, 469, 40484, 18, 365, 1500, 1119, 7753, 9344, 10218, 290, 3177, 30554, 3411, 42871, 6149, 309, 21110, 3302, 10296, 6677, 4000, 18, 1367, 18995, 282, 10296, 9344, 3828, 309, 14812, 478, 4925, 403, 11914, 519, 24630, 831, 18, 1345, 21566, 2200, 6929, 910, 428, 289, 17453, 6985, 18347, 5792, 18, 49849, 4830, 2665, 3029, 4633, 309, 5741, 3990, 18, 2790, 21960, 549, 29617, 16, 428, 289, 2849, 17696, 6702, 282, 36153, 1624, 9601, 1122, 5741, 3972, 18, 365, 3765, 281, 816, 309, 1032, 3750, 1673, 3394, 6005, 635, 34102, 4358, 6702, 360, 2954, 16, 18090, 20479, 319, 1423, 37917, 309, 37965, 10296, 18, 7758, 639, 31058, 13908, 20449, 18, 24140, 11385, 8043, 653, 8783, 20839, 290, 970, 16, 374, 16414, 9344, 19229, 32778, 15477, 18, 817, 726, 1293, 445, 25512, 4770, 778, 3806, 1532, 7851, 18, 4707, 648, 11385, 14040, 3463, 478, 41342, 7851, 470, 7846, 16, 374, 2364, 11678, 36379, 26113, 537, 371, 4700, 15340, 322, 24366, 373, 1595, 1609, 349, 1047, 18, 478, 5853, 345, 1532, 7851, 282, 10130, 36289, 7753, 9344, 30, 1715, 13004, 36379, 12002, 16, 374, 322, 16738, 5317, 349, 1047, 537, 371, 4700, 15340, 18, 5741, 9, 36379, 16170, 16, 374, 322, 5844, 3461, 1617, 8113, 349, 2994, 326, 8604, 4623, 478, 983, 2237, 49758, 7037, 470, 1614, 14976, 65, 32652, 1624, 14596, 510, 349, 2994, 326, 8604, 478, 18780, 6809, 4669, 22137, 510, 999, 1805, 470, 20888, 65, 18720, 405, 16, 2552, 23912, 510, 349, 2994, 47552, 17, 293, 30557, 19860, 427, 65, 21070, 30582, 289, 2994, 326, 8604, 478, 8572, 9472, 1809, 4623, 470, 19243, 65, 19741, 8863, 910, 510, 48484, 309, 3614, 12202, 31541, 478, 41342, 7851, 861, 4707, 648, 46236, 281, 2261, 334, 3436, 3612, 2496, 26113, 360, 1281, 986, 18, 365, 1169, 20146, 1286, 4500, 18, 41618, 18, 11659, 9210, 622, 4896, 322, 1033, 430, 16, 23, 5999, 2667, 978, 9344, 726, 25512, 4770, 778, 3806, 1532, 7851, 282, 3998, 3612, 18, 9639, 6441, 7846, 27663, 5500, 478, 10245, 1144, 451, 32342, 470, 289, 1563, 10706, 10712, 8347, 9487, 3946, 629, 1090, 405, 18, 5043, 16, 6295, 281, 21340, 22323, 28799, 322, 4618, 10664, 324, 282, 5975, 808, 18, 824, 12821, 653, 8783, 11758, 12213, 16, 15173, 17, 7745, 11338, 503, 4137, 18334, 778, 12307, 34725, 14802, 28799, 16, 7304, 743, 722, 329, 15465, 4623, 478, 983, 2237, 49758, 7037, 470, 44290, 32652, 16, 1586, 1530, 286, 4416, 309, 7266, 4335, 4776, 18, 4707, 648, 7846, 16, 374, 309, 45011, 37965, 10296, 37917, 18334, 718, 15769, 17126, 2364, 667, 9, 360, 7203, 7619, 26113, 16, 961, 726, 1589, 12978, 281, 38345, 289, 2820, 20776, 30429, 18, 32652, 575, 1441, 3164, 309, 2992, 1718, 4762, 28799, 30, 40131, 7638, 17, 2168, 6926, 2665, 14148, 848, 4364, 4652, 1281, 16, 22, 9, 2954, 18, 967, 803, 10403, 9344, 309, 9837, 1119, 24445, 1223, 1760, 16, 21, 9, 26113, 18, 2, 1, 87, 1456, 81, 2448, 30, 3114, 3597, 282, 3507, 8192, 2615, 282, 3182, 20665, 24961, 434, 14339, 718, 7561, 473, 57, 25431, 13, 282, 1175, 18, 365, 29437, 35107, 8600, 281, 19097, 330, 47143, 6096, 415, 1476, 742, 289, 1739, 389, 40930, 778, 30522, 9840, 768, 2128, 18, 31224, 30, 57, 25431, 1149, 2724, 38745, 38988, 9934, 282, 3187, 4267, 20536, 7928, 478, 630, 8596, 778, 910, 6287, 39700, 309, 2123, 18, 3161, 334, 35722, 1612, 18, 7758, 282, 4301, 14452, 9934, 1912, 4664, 510, 1055, 749, 8460, 18, 31529, 42215, 23653, 4976, 282, 790, 354, 27007, 581, 1484, 775, 718, 4027, 5835, 818, 807, 28911, 429, 3924, 383, 401, 670, 1830, 373, 6816, 4059, 3340, 1624, 2686, 1770, 25431, 322, 20037, 12496, 382, 2200, 7265, 13036, 277, 309, 47192, 7756, 1149, 2724, 38745, 18, 9570, 942, 840, 5298, 18804, 1269, 4931, 735, 1587, 5781, 7620, 1770, 25431, 510, 10403, 26785, 289, 14943, 35598, 6235, 18, 365, 4301, 18112, 1197, 347, 8192, 2852, 12496, 523, 30, 9840, 768, 2128, 473, 34803, 35190, 4879, 13, 510, 6096, 415, 1476, 742, 473, 11825, 13, 8426, 5274, 2576, 1447, 473, 48680, 669, 13, 510, 14564, 4035, 1388, 473, 23441, 13, 4944, 22536, 778, 473, 983, 6316, 2750, 13, 510, 1034, 28236, 23235, 2244, 21710, 473, 11825, 13, 6096, 35598, 6235, 473, 11825, 13, 510, 6733, 264, 361, 3918, 7121, 473, 983, 598, 29641, 13, 10482, 16, 374, 541, 4016, 17, 11884, 4035, 7408, 30639, 1279, 5274, 2576, 4254, 895, 1852, 12651, 424, 33492, 39790, 18, 27258, 33262, 14403, 282, 3177, 30554, 23113, 2886, 11265, 32365, 289, 3828, 16, 374, 726, 13875, 6549, 541, 16325, 7179, 25099, 18, 478, 18229, 16, 912, 5977, 3604, 9805, 16364, 18, 740, 281, 2184, 10924, 14887, 2076, 762, 1645, 18, 629, 6549, 13875, 16, 4126, 44302, 18, 1258, 554, 10445, 910, 510, 1109, 11471, 282, 7337, 478, 563, 1605, 861, 640, 4862, 41816, 18147, 2385, 587, 22288, 16, 374, 289, 40465, 294, 25754, 36962, 31378, 18, 478, 4182, 17, 299, 9665, 282, 7727, 16, 289, 8404, 15762, 925, 282, 584, 419, 12428, 5626, 16, 374, 417, 1122, 6450, 344, 1719, 18, 13268, 6181, 3059, 281, 23579, 360, 1388, 649, 7600, 1887, 18, 3397, 417, 2141, 322, 2447, 3336, 8662, 16, 17959, 9949, 703, 687, 3906, 1344, 18, 740, 703, 481, 322, 15423, 18, 20466, 16, 374, 4560, 510, 23699, 2159, 27176, 910, 510, 2815, 492, 18, 1367, 1947, 27637, 40945, 16, 5191, 394, 3171, 26169, 16, 428, 28423, 5, 640, 1304, 16, 5113, 7170, 8340, 23323, 401, 16, 640, 46675, 30, 478, 37196, 1271, 1383, 460, 861, 376, 322, 12319, 266, 21198, 16, 515, 481, 453, 5550, 18, 17538, 4556, 16, 289, 28195, 282, 22818, 11855, 18, 15498, 4860, 5898, 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 ]
[ 11836, 2107, 4216, 755, 18, 365, 2343, 3612, 9402, 541, 22873, 2458, 19908, 548, 282, 11379, 16, 3043, 11328, 309, 30879, 334, 50177, 954, 10403, 9344, 38345, 282, 32712, 2665, 309, 2992, 3017, 18, 6698, 343, 548, 12547, 1807, 3313, 8488, 20196, 16, 309, 2114, 35294, 28367, 2420, 2155, 1175, 289, 2665, 18, 478, 10393, 612, 9344, 2988, 6732, 910, 510, 738, 7102, 12668, 309, 1129, 18, 9857, 478, 46570, 662, 470, 11091, 435, 2904, 19683, 14840, 15310, 7796, 1552, 2407, 15073, 21106, 1161, 18, 478, 618, 6732, 282, 11069, 16, 374, 505, 309, 4862, 1698, 4226, 9344, 7694, 35, 10482, 16, 428, 1747, 13168, 33298, 337, 910, 510, 18585, 678, 309, 1360, 7759, 282, 469, 40484, 18, 365, 1500, 1119, 7753, 9344, 10218, 290, 3177, 30554, 3411, 42871, 6149, 309, 21110, 3302, 10296, 6677, 4000, 18, 1367, 18995, 282, 10296, 9344, 3828, 309, 14812, 478, 4925, 403, 11914, 519, 24630, 831, 18, 1345, 21566, 2200, 6929, 910, 428, 289, 17453, 6985, 18347, 5792, 18, 49849, 4830, 2665, 3029, 4633, 309, 5741, 3990, 18, 2790, 21960, 549, 29617, 16, 428, 289, 2849, 17696, 6702, 282, 36153, 1624, 9601, 1122, 5741, 3972, 18, 365, 3765, 281, 816, 309, 1032, 3750, 1673, 3394, 6005, 635, 34102, 4358, 6702, 360, 2954, 16, 18090, 20479, 319, 1423, 37917, 309, 37965, 10296, 18, 7758, 639, 31058, 13908, 20449, 18, 24140, 11385, 8043, 653, 8783, 20839, 290, 970, 16, 374, 16414, 9344, 19229, 32778, 15477, 18, 817, 726, 1293, 445, 25512, 4770, 778, 3806, 1532, 7851, 18, 4707, 648, 11385, 14040, 3463, 478, 41342, 7851, 470, 7846, 16, 374, 2364, 11678, 36379, 26113, 537, 371, 4700, 15340, 322, 24366, 373, 1595, 1609, 349, 1047, 18, 478, 5853, 345, 1532, 7851, 282, 10130, 36289, 7753, 9344, 30, 1715, 13004, 36379, 12002, 16, 374, 322, 16738, 5317, 349, 1047, 537, 371, 4700, 15340, 18, 5741, 9, 36379, 16170, 16, 374, 322, 5844, 3461, 1617, 8113, 349, 2994, 326, 8604, 4623, 478, 983, 2237, 49758, 7037, 470, 1614, 14976, 65, 32652, 1624, 14596, 510, 349, 2994, 326, 8604, 478, 18780, 6809, 4669, 22137, 510, 999, 1805, 470, 20888, 65, 18720, 405, 16, 2552, 23912, 510, 349, 2994, 47552, 17, 293, 30557, 19860, 427, 65, 21070, 30582, 289, 2994, 326, 8604, 478, 8572, 9472, 1809, 4623, 470, 19243, 65, 19741, 8863, 910, 510, 48484, 309, 3614, 12202, 31541, 478, 41342, 7851, 861, 4707, 648, 46236, 281, 2261, 334, 3436, 3612, 2496, 26113, 360, 1281, 986, 18, 365, 1169, 20146, 1286, 4500, 18, 41618, 18, 11659, 9210, 622, 4896, 322, 1033, 430, 16, 23, 5999, 2667, 978, 9344, 726, 25512, 4770, 778, 3806, 1532, 7851, 282, 3998, 3612, 18, 9639, 6441, 7846, 27663, 5500, 478, 10245, 1144, 451, 32342, 470, 289, 1563, 10706, 10712, 8347, 9487, 3946, 629, 1090, 405, 18, 5043, 16, 6295, 281, 21340, 22323, 28799, 322, 4618, 10664, 324, 282, 5975, 808, 18, 824, 12821, 653, 8783, 11758, 12213, 16, 15173, 17, 7745, 11338, 503, 4137, 18334, 778, 12307, 34725, 14802, 28799, 16, 7304, 743, 722, 329, 15465, 4623, 478, 983, 2237, 49758, 7037, 470, 44290, 32652, 16, 1586, 1530, 286, 4416, 309, 7266, 4335, 4776, 18, 4707, 648, 7846, 16, 374, 309, 45011, 37965, 10296, 37917, 18334, 718, 15769, 17126, 2364, 667, 9, 360, 7203, 7619, 26113, 16, 961, 726, 1589, 12978, 281, 38345, 289, 2820, 20776, 30429, 18, 32652, 575, 1441, 3164, 309, 2992, 1718, 4762, 28799, 30, 40131, 7638, 17, 2168, 6926, 2665, 14148, 848, 4364, 4652, 1281, 16, 22, 9, 2954, 18, 967, 803, 10403, 9344, 309, 9837, 1119, 24445, 1223, 1760, 16, 21, 9, 26113, 18, 2, 1, 87, 1456, 81, 2448, 30, 3114, 3597, 282, 3507, 8192, 2615, 282, 3182, 20665, 24961, 434, 14339, 718, 7561, 473, 57, 25431, 13, 282, 1175, 18, 365, 29437, 35107, 8600, 281, 19097, 330, 47143, 6096, 415, 1476, 742, 289, 1739, 389, 40930, 778, 30522, 9840, 768, 2128, 18, 31224, 30, 57, 25431, 1149, 2724, 38745, 38988, 9934, 282, 3187, 4267, 20536, 7928, 478, 630, 8596, 778, 910, 6287, 39700, 309, 2123, 18, 3161, 334, 35722, 1612, 18, 7758, 282, 4301, 14452, 9934, 1912, 4664, 510, 1055, 749, 8460, 18, 31529, 42215, 23653, 4976, 282, 790, 354, 27007, 581, 1484, 775, 718, 4027, 5835, 818, 807, 28911, 429, 3924, 383, 401, 670, 1830, 373, 6816, 4059, 3340, 1624, 2686, 1770, 25431, 322, 20037, 12496, 382, 2200, 7265, 13036, 277, 309, 47192, 7756, 1149, 2724, 38745, 18, 9570, 942, 840, 5298, 18804, 1269, 4931, 735, 1587, 5781, 7620, 1770, 25431, 510, 10403, 26785, 289, 14943, 35598, 6235, 18, 365, 4301, 18112, 1197, 347, 8192, 2852, 12496, 523, 30, 9840, 768, 2128, 473, 34803, 35190, 4879, 13, 510, 6096, 415, 1476, 742, 473, 11825, 13, 8426, 5274, 2576, 1447, 473, 48680, 669, 13, 510, 14564, 4035, 1388, 473, 23441, 13, 4944, 22536, 778, 473, 983, 6316, 2750, 13, 510, 1034, 28236, 23235, 2244, 21710, 473, 11825, 13, 6096, 35598, 6235, 473, 11825, 13, 510, 6733, 264, 361, 3918, 7121, 473, 983, 598, 29641, 13, 10482, 16, 374, 541, 4016, 17, 11884, 4035, 7408, 30639, 1279, 5274, 2576, 4254, 895, 1852, 12651, 424, 33492, 39790, 18, 27258, 33262, 14403, 282, 3177, 30554, 23113, 2886, 11265, 32365, 289, 3828, 16, 374, 726, 13875, 6549, 541, 16325, 7179, 25099, 18, 478, 18229, 16, 912, 5977, 3604, 9805, 16364, 18, 740, 281, 2184, 10924, 14887, 2076, 762, 1645, 18, 629, 6549, 13875, 16, 4126, 44302, 18, 1258, 554, 10445, 910, 510, 1109, 11471, 282, 7337, 478, 563, 1605, 861, 640, 4862, 41816, 18147, 2385, 587, 22288, 16, 374, 289, 40465, 294, 25754, 36962, 31378, 18, 478, 4182, 17, 299, 9665, 282, 7727, 16, 289, 8404, 15762, 925, 282, 584, 419, 12428, 5626, 16, 374, 417, 1122, 6450, 344, 1719, 18, 13268, 6181, 3059, 281, 23579, 360, 1388, 649, 7600, 1887, 18, 3397, 417, 2141, 322, 2447, 3336, 8662, 16, 17959, 9949, 703, 687, 3906, 1344, 18, 740, 703, 481, 322, 15423, 18, 20466, 16, 374, 4560, 510, 23699, 2159, 27176, 910, 510, 2815, 492, 18, 1367, 1947, 27637, 40945, 16, 5191, 394, 3171, 26169, 16, 428, 28423, 5, 640, 1304, 16, 5113, 7170, 8340, 23323, 401, 16, 640, 46675, 30, 478, 37196, 1271, 1383, 460, 861, 376, 322, 12319, 266, 21198, 16, 515, 481, 453, 5550, 18, 17538, 4556, 16, 289, 28195, 282, 22818, 11855, 18, 15498, 4860, 5898, 18 ]
[ 9094, 35442, 561, 2007, 3044, 80, 2084, 9094, 17402, 71, 81, 1410, 34967, 36538, 783, 360, 14564, 4035, 1388, 46114, 35442, 561, 2007, 3044, 80, 2084, 17402, 71, 13, 2418, 13407, 11826, 282, 2287, 30, 8081, 40425, 56, 1397, 5327, 12060, 17, 11884, 35598, 6235, 16, 502, 541, 1047, 30639, 1279, 3918, 546, 507, 840, 28910, 547, 282, 1770, 25431, 18, 18720, 8192, 282, 2205, 1161, 9044, 519, 20391, 8715, 18, 640, 14540, 18952, 5539, 282, 421, 12868, 1281, 2566, 289, 537, 2236, 14248, 18, 3739, 3348, 411, 3322, 7614, 4486, 4664, 4040, 36441, 49296, 41816, 12097, 22536, 718, 289, 18952, 5539, 1034, 1134, 379, 23235, 2244, 39136, 18, 1787, 22095, 17084, 30639, 4040, 15513, 536, 510, 478, 1748, 296, 896, 470, 20693, 3213, 16925, 343, 17228, 334, 20919, 4664, 282, 37217, 32210, 282, 4301, 1770, 25431, 473, 6462, 814, 889, 16, 294, 15695, 16, 2438, 34156, 541, 32922, 567, 808, 13811, 22536, 718, 282, 3507, 18, 11166, 17, 11884, 41816, 25732, 309, 7337, 309, 11606, 478, 27064, 283, 17565, 861, 1591, 808, 9313, 287, 282, 50244, 4732, 3202, 1938, 36847, 17, 13295, 382, 294, 12496, 1876, 11854, 16, 374, 939, 23065, 45467, 289, 6506, 804, 22536, 718, 18, 9887, 13443, 9313, 287, 7007, 289, 7777, 411, 16248, 18, 478, 4529, 4236, 1568, 8563, 7337, 18, 9857, 7642, 16, 374, 387, 478, 343, 413, 781, 470, 19160, 781, 282, 21311, 5968, 687, 5781, 14339, 18, 1241, 45105, 2915, 18, 629, 13016, 910, 510, 5280, 18538, 1109, 22536, 778, 18, 26749, 17084, 6506, 804, 16, 374, 505, 7933, 1687, 24374, 1745, 322, 639, 10048, 19848, 50173, 18, 824, 4734, 36271, 22536, 718, 12097, 2776, 303, 10706, 16, 11606, 1943, 15438, 28783, 9621, 10194, 3800, 1159, 16, 1029, 478, 960, 1114, 282, 1770, 25431, 1939, 986, 2158, 1974, 281, 19192, 496, 861, 365, 7953, 547, 1197, 476, 20665, 1747, 12570, 7109, 1053, 30, 415, 429, 312, 47558, 291, 473, 11825, 13, 510, 2901, 9788, 7022, 271, 599, 272, 4013, 473, 26404, 13, 421, 665, 296, 450, 1166, 16821, 473, 26404, 13, 510, 22343, 356, 365, 4013, 269, 473, 26404, 13, 43249, 383, 1236, 9548, 512, 473, 11825, 13, 510, 2101, 1690, 14809, 24751, 262, 473, 48680, 669, 13, 48558, 44514, 473, 26404, 13, 510, 18026, 8426, 280, 7656, 473, 11825, 13, 4809, 269, 10810, 9266, 267, 28317, 473, 11825, 13, 510, 40280, 26660, 22982, 473, 26404, 13, 25604, 7188, 15315, 473, 684, 4642, 274, 13, 510, 7753, 8426, 473, 11825, 13, 403, 42205, 44514, 473, 684, 2334, 347, 13, 510, 3883, 7309, 16015, 19937, 473, 11825, 13, 13408, 604, 363, 625, 482, 512, 473, 11825, 13, 510, 10082, 4708, 262, 11662, 342, 473, 983, 598, 29641, 13, 3771, 3141, 9266, 267, 28317, 17016, 364, 21526, 460, 2235, 289, 6245, 8610, 8961, 341, 1715, 309, 1421, 15053, 429, 18, 1598, 17, 431, 978, 4317, 7540, 505, 37213, 287, 360, 4634, 5000, 392, 18, 3739, 3348, 322, 1478, 5583, 20918, 2205, 3800, 5411, 1559, 37172, 1577, 7188, 15315, 651, 349, 1595, 2178, 1349, 492, 6524, 4045, 18952, 16028, 18365, 1939, 7540, 1728, 37213, 287, 18, 6373, 411, 10235, 289, 3071, 546, 17900, 19661, 14452, 1770, 25431, 282, 3507, 510, 322, 840, 5209, 432, 20617, 1437, 18, 1178, 541, 1770, 25431, 4461, 5209, 432, 20617, 1437, 25162, 17, 3292, 17, 17918, 1623, 3348, 411, 7934, 11861, 9737, 513, 24529, 16, 502, 282, 1175, 36847, 897, 286, 26054, 281, 15717, 18, 16369, 969, 52, 59, 16528, 1218, 36918, 324, 282, 1175, 16, 2391, 1770, 25431, 5304, 29373, 722, 687, 6330, 18, 478, 672, 4603, 549, 7063, 5695, 2678, 16520, 5024, 289, 3146, 3466, 319, 15364, 567, 2651, 952, 40330, 728, 1770, 25431, 651, 360, 20617, 1437, 519, 449, 300, 1682, 17, 22649, 16, 9870, 289, 17401, 933, 7438, 18, 2876, 2759, 8485, 1873, 16213, 1623, 44633, 1574, 952, 40330, 8227, 910, 651, 7332, 1694, 9541, 17, 40000, 1770, 25431, 22161, 4944, 18073, 11812, 47208, 18, 1770, 25431, 1149, 2724, 38745, 38988, 840, 27997, 6149, 309, 1720, 22105, 995, 547, 27429, 478, 27064, 283, 17565, 861, 1598, 17, 431, 5769, 521, 488, 873, 281, 969, 52, 59, 16, 14340, 17812, 22184, 1770, 25431, 282, 1175, 4040, 26324, 26716, 18, 29658, 32872, 16, 374, 478, 630, 8596, 778, 470, 11834, 2123, 2634, 15364, 16, 2686, 411, 17, 431, 10427, 22506, 2726, 16336, 3711, 9923, 764, 430, 16, 25, 5600, 26716, 18, 16924, 8518, 2898, 2232, 19084, 906, 3147, 27098, 289, 322, 4155, 15945, 25467, 510, 3560, 11483, 2451, 16903, 942, 639, 10850, 349, 430, 16, 25, 5600, 2791, 16, 3560, 8738, 27690, 330, 373, 4458, 10091, 282, 13323, 5600, 18, 1178, 282, 3507, 2826, 9553, 11028, 1217, 1773, 297, 16, 428, 481, 1576, 3890, 309, 5734, 2083, 16, 502, 1770, 25431, 12845, 360, 10929, 26716, 7431, 4843, 22, 16, 23, 3763, 18, 1770, 25431, 1149, 2724, 38745, 38988, 510, 687, 6287, 7080, 1770, 25431, 289, 1175, 18, 9668, 3320, 47132, 44260, 11451, 27834, 16, 374, 9805, 8275, 541, 36847, 897, 798, 1623, 3348, 411, 16146, 432, 282, 4301, 12672, 3281, 18, 824, 3163, 9541, 17, 40000, 1770, 25431, 37970, 45429, 16, 282, 23838, 1612, 282, 1175, 1698, 953, 29346, 27516, 896, 448, 21080, 8460, 3320, 18, 478, 4348, 10063, 27516, 896, 448, 21080, 282, 19992, 16, 14109, 16, 1269, 445, 510, 282, 22643, 18, 3923, 16, 656, 939, 11843, 5848, 282, 1175, 14007, 1133, 21080, 16, 515, 2615, 20665, 8192, 749, 1129, 910, 510, 1109, 45429, 282, 7337, 8818, 18, 1178, 14339, 1162, 3765, 282, 3507, 2826, 5828, 1829, 12980, 1770, 25431, 473, 275, 4698, 3678, 510, 24859, 2018, 4851, 2764, 934, 502, 322, 20846, 16, 374, 726, 282, 26155, 1045, 282, 1175, 18222, 1833, 1293, 6250, 483, 36847, 897, 798, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 3714, 507, 289, 421, 12868, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 1140, 350, 987, 3495, 1832, 305, 281, 28844, 411, 11131, 816, 43, 46043, 6371, 4090, 42436, 8840, 541, 44549, 2727, 410, 94, 18, 18197, 14456, 4211, 334, 20311, 294, 305, 1616, 513, 8022, 341, 9216, 5324, 951, 12160, 444, 11766, 28338, 27700, 768, 511, 18, 2320, 11563, 27869, 17376, 44514, 2397, 9700, 12848, 10845, 281, 478, 3446, 301, 467, 304, 470, 309, 4843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9094, 35442, 561, 2007, 3044, 80, 2084, 9094, 17402, 71, 81, 1410, 34967, 36538, 783, 360, 14564, 4035, 1388, 46114, 35442, 561, 2007, 3044, 80, 2084, 17402, 71, 13, 2418, 13407, 11826, 282, 2287, 30, 8081, 40425, 56, 1397, 5327, 12060, 17, 11884, 35598, 6235, 16, 502, 541, 1047, 30639, 1279, 3918, 546, 507, 840, 28910, 547, 282, 1770, 25431, 18, 18720, 8192, 282, 2205, 1161, 9044, 519, 20391, 8715, 18, 640, 14540, 18952, 5539, 282, 421, 12868, 1281, 2566, 289, 537, 2236, 14248, 18, 3739, 3348, 411, 3322, 7614, 4486, 4664, 4040, 36441, 49296, 41816, 12097, 22536, 718, 289, 18952, 5539, 1034, 1134, 379, 23235, 2244, 39136, 18, 1787, 22095, 17084, 30639, 4040, 15513, 536, 510, 478, 1748, 296, 896, 470, 20693, 3213, 16925, 343, 17228, 334, 20919, 4664, 282, 37217, 32210, 282, 4301, 1770, 25431, 473, 6462, 814, 889, 16, 294, 15695, 16, 2438, 34156, 541, 32922, 567, 808, 13811, 22536, 718, 282, 3507, 18, 11166, 17, 11884, 41816, 25732, 309, 7337, 309, 11606, 478, 27064, 283, 17565, 861, 1591, 808, 9313, 287, 282, 50244, 4732, 3202, 1938, 36847, 17, 13295, 382, 294, 12496, 1876, 11854, 16, 374, 939, 23065, 45467, 289, 6506, 804, 22536, 718, 18, 9887, 13443, 9313, 287, 7007, 289, 7777, 411, 16248, 18, 478, 4529, 4236, 1568, 8563, 7337, 18, 9857, 7642, 16, 374, 387, 478, 343, 413, 781, 470, 19160, 781, 282, 21311, 5968, 687, 5781, 14339, 18, 1241, 45105, 2915, 18, 629, 13016, 910, 510, 5280, 18538, 1109, 22536, 778, 18, 26749, 17084, 6506, 804, 16, 374, 505, 7933, 1687, 24374, 1745, 322, 639, 10048, 19848, 50173, 18, 824, 4734, 36271, 22536, 718, 12097, 2776, 303, 10706, 16, 11606, 1943, 15438, 28783, 9621, 10194, 3800, 1159, 16, 1029, 478, 960, 1114, 282, 1770, 25431, 1939, 986, 2158, 1974, 281, 19192, 496, 861, 365, 7953, 547, 1197, 476, 20665, 1747, 12570, 7109, 1053, 30, 415, 429, 312, 47558, 291, 473, 11825, 13, 510, 2901, 9788, 7022, 271, 599, 272, 4013, 473, 26404, 13, 421, 665, 296, 450, 1166, 16821, 473, 26404, 13, 510, 22343, 356, 365, 4013, 269, 473, 26404, 13, 43249, 383, 1236, 9548, 512, 473, 11825, 13, 510, 2101, 1690, 14809, 24751, 262, 473, 48680, 669, 13, 48558, 44514, 473, 26404, 13, 510, 18026, 8426, 280, 7656, 473, 11825, 13, 4809, 269, 10810, 9266, 267, 28317, 473, 11825, 13, 510, 40280, 26660, 22982, 473, 26404, 13, 25604, 7188, 15315, 473, 684, 4642, 274, 13, 510, 7753, 8426, 473, 11825, 13, 403, 42205, 44514, 473, 684, 2334, 347, 13, 510, 3883, 7309, 16015, 19937, 473, 11825, 13, 13408, 604, 363, 625, 482, 512, 473, 11825, 13, 510, 10082, 4708, 262, 11662, 342, 473, 983, 598, 29641, 13, 3771, 3141, 9266, 267, 28317, 17016, 364, 21526, 460, 2235, 289, 6245, 8610, 8961, 341, 1715, 309, 1421, 15053, 429, 18, 1598, 17, 431, 978, 4317, 7540, 505, 37213, 287, 360, 4634, 5000, 392, 18, 3739, 3348, 322, 1478, 5583, 20918, 2205, 3800, 5411, 1559, 37172, 1577, 7188, 15315, 651, 349, 1595, 2178, 1349, 492, 6524, 4045, 18952, 16028, 18365, 1939, 7540, 1728, 37213, 287, 18, 6373, 411, 10235, 289, 3071, 546, 17900, 19661, 14452, 1770, 25431, 282, 3507, 510, 322, 840, 5209, 432, 20617, 1437, 18, 1178, 541, 1770, 25431, 4461, 5209, 432, 20617, 1437, 25162, 17, 3292, 17, 17918, 1623, 3348, 411, 7934, 11861, 9737, 513, 24529, 16, 502, 282, 1175, 36847, 897, 286, 26054, 281, 15717, 18, 16369, 969, 52, 59, 16528, 1218, 36918, 324, 282, 1175, 16, 2391, 1770, 25431, 5304, 29373, 722, 687, 6330, 18, 478, 672, 4603, 549, 7063, 5695, 2678, 16520, 5024, 289, 3146, 3466, 319, 15364, 567, 2651, 952, 40330, 728, 1770, 25431, 651, 360, 20617, 1437, 519, 449, 300, 1682, 17, 22649, 16, 9870, 289, 17401, 933, 7438, 18, 2876, 2759, 8485, 1873, 16213, 1623, 44633, 1574, 952, 40330, 8227, 910, 651, 7332, 1694, 9541, 17, 40000, 1770, 25431, 22161, 4944, 18073, 11812, 47208, 18, 1770, 25431, 1149, 2724, 38745, 38988, 840, 27997, 6149, 309, 1720, 22105, 995, 547, 27429, 478, 27064, 283, 17565, 861, 1598, 17, 431, 5769, 521, 488, 873, 281, 969, 52, 59, 16, 14340, 17812, 22184, 1770, 25431, 282, 1175, 4040, 26324, 26716, 18, 29658, 32872, 16, 374, 478, 630, 8596, 778, 470, 11834, 2123, 2634, 15364, 16, 2686, 411, 17, 431, 10427, 22506, 2726, 16336, 3711, 9923, 764, 430, 16, 25, 5600, 26716, 18, 16924, 8518, 2898, 2232, 19084, 906, 3147, 27098, 289, 322, 4155, 15945, 25467, 510, 3560, 11483, 2451, 16903, 942, 639, 10850, 349, 430, 16, 25, 5600, 2791, 16, 3560, 8738, 27690, 330, 373, 4458, 10091, 282, 13323, 5600, 18, 1178, 282, 3507, 2826, 9553, 11028, 1217, 1773, 297, 16, 428, 481, 1576, 3890, 309, 5734, 2083, 16, 502, 1770, 25431, 12845, 360, 10929, 26716, 7431, 4843, 22, 16, 23, 3763, 18, 1770, 25431, 1149, 2724, 38745, 38988, 510, 687, 6287, 7080, 1770, 25431, 289, 1175, 18, 9668, 3320, 47132, 44260, 11451, 27834, 16, 374, 9805, 8275, 541, 36847, 897, 798, 1623, 3348, 411, 16146, 432, 282, 4301, 12672, 3281, 18, 824, 3163, 9541, 17, 40000, 1770, 25431, 37970, 45429, 16, 282, 23838, 1612, 282, 1175, 1698, 953, 29346, 27516, 896, 448, 21080, 8460, 3320, 18, 478, 4348, 10063, 27516, 896, 448, 21080, 282, 19992, 16, 14109, 16, 1269, 445, 510, 282, 22643, 18, 3923, 16, 656, 939, 11843, 5848, 282, 1175, 14007, 1133, 21080, 16, 515, 2615, 20665, 8192, 749, 1129, 910, 510, 1109, 45429, 282, 7337, 8818, 18, 1178, 14339, 1162, 3765, 282, 3507, 2826, 5828, 1829, 12980, 1770, 25431, 473, 275, 4698, 3678, 510, 24859, 2018, 4851, 2764, 934, 502, 322, 20846, 16, 374, 726, 282, 26155, 1045, 282, 1175, 18222, 1833, 1293, 6250, 483, 36847, 897, 798, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 3714, 507, 289, 421, 12868, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 1140, 350, 987, 3495, 1832, 305, 281, 28844, 411, 11131, 816, 43, 46043, 6371, 4090, 42436, 8840, 541, 44549, 2727, 410, 94, 18, 18197, 14456, 4211, 334, 20311, 294, 305, 1616, 513, 8022, 341, 9216, 5324, 951, 12160, 444, 11766, 28338, 27700, 768, 511, 18, 2320, 11563, 27869, 17376, 44514, 2397, 9700, 12848, 10845, 281, 478, 3446, 301, 467, 304, 470, 309, 4843 ]
[ 10207, 3763, 16, 515, 1055, 5702, 541, 10376, 1552, 18, 19070, 2727, 410, 94, 768, 511, 840, 4153, 4138, 281, 15566, 303, 27299, 882, 1330, 282, 19504, 21791, 8393, 18, 31224, 30, 30348, 303, 26446, 6187, 13198, 5324, 21791, 8393, 951, 12160, 444, 11766, 28338, 27700, 768, 511, 8022, 341, 11113, 1081, 18990, 970, 766, 434, 294, 305, 1616, 513, 289, 477, 16748, 1021, 18, 46, 18, 2727, 410, 94, 18, 640, 1335, 9515, 492, 8018, 266, 44719, 6260, 5044, 16, 1029, 50234, 1595, 3059, 1011, 18890, 15154, 334, 13486, 2727, 410, 94, 48953, 8933, 24934, 10616, 3495, 1832, 871, 18927, 79, 23334, 1021, 4919, 4020, 1201, 289, 27273, 2818, 4328, 554, 816, 43, 46043, 18, 478, 983, 4042, 27700, 473, 1916, 511, 13, 1623, 40427, 8996, 4309, 281, 44724, 536, 13071, 282, 38926, 40056, 9623, 16, 510, 15875, 1234, 55, 46, 8348, 35585, 22691, 816, 43, 46043, 31977, 28216, 17543, 18, 651, 385, 22725, 564, 505, 23506, 16, 5222, 933, 25828, 289, 25870, 16321, 35880, 12893, 6977, 505, 43234, 23049, 16, 1029, 38436, 6402, 20840, 17659, 416, 3182, 2727, 410, 94, 861, 14691, 17, 7745, 768, 511, 25512, 951, 12160, 444, 11766, 281, 3597, 4479, 779, 651, 349, 481, 808, 492, 13382, 282, 13858, 40697, 2047, 2241, 309, 29577, 11612, 16, 1175, 289, 22643, 18, 2667, 21546, 282, 2089, 10845, 492, 45252, 5751, 20141, 11024, 17688, 49173, 6407, 47980, 1407, 13800, 18, 478, 11227, 703, 6174, 6292, 1852, 9774, 536, 19201, 2727, 410, 94, 16, 510, 2815, 768, 511, 18, 651, 8444, 1623, 2059, 411, 13573, 44913, 6271, 16, 14340, 31179, 1754, 1623, 8357, 17659, 434, 294, 305, 1616, 513, 18, 629, 281, 24521, 17885, 2742, 1810, 282, 10400, 547, 21992, 281, 3609, 17, 23390, 12230, 2241, 16, 19716, 289, 26435, 16, 753, 29469, 4211, 651, 428, 309, 6958, 4357, 16, 453, 289, 309, 26962, 5066, 289, 15092, 42053, 17010, 4719, 6832, 29062, 8520, 18, 1178, 3111, 360, 965, 16, 502, 417, 289, 3476, 6956, 13392, 590, 18321, 282, 8027, 19495, 7474, 16, 289, 281, 24521, 27797, 16, 785, 14156, 7818, 505, 27293, 14762, 861, 4320, 44514, 8633, 20712, 7067, 18820, 16, 12984, 289, 9774, 536, 19201, 2727, 410, 94, 18, 817, 840, 3624, 281, 768, 511, 304, 16, 753, 9193, 14042, 539, 25059, 1357, 4090, 36271, 282, 4211, 17, 41531, 1013, 18, 824, 3163, 7620, 816, 43, 46043, 289, 18927, 79, 23334, 1021, 4919, 4020, 1201, 16, 2241, 9813, 530, 281, 32853, 1305, 505, 8343, 17227, 282, 2518, 763, 1810, 282, 2727, 410, 94, 1011, 15160, 37001, 16, 2486, 39700, 309, 2555, 4238, 18, 365, 3998, 3990, 8846, 16, 374, 282, 1750, 40158, 6260, 5044, 281, 9515, 42436, 8840, 16, 492, 12845, 23851, 282, 9802, 4843, 10207, 3763, 18, 2727, 410, 94, 1623, 37819, 21340, 282, 15242, 294, 305, 283, 673, 291, 18, 8444, 906, 23590, 282, 8710, 29, 1045, 9374, 50035, 14397, 268, 3347, 1974, 281, 10082, 987, 3032, 391, 348, 1683, 424, 7848, 2727, 410, 94, 5436, 3625, 9508, 2211, 26485, 23120, 4281, 1476, 18657, 304, 18, 365, 1281, 8564, 1045, 3785, 2727, 410, 94, 5436, 3625, 9508, 381, 2430, 331, 5519, 16, 289, 9374, 14397, 268, 321, 6558, 3064, 10845, 1149, 18, 10, 46, 18, 2727, 410, 94, 309, 1634, 4576, 289, 7680, 18, 365, 44045, 1045, 492, 13135, 18204, 10845, 1149, 18, 10, 46, 18, 2727, 410, 94, 329, 1634, 15311, 289, 23825, 1475, 722, 282, 1021, 18, 46, 18, 2727, 410, 94, 18, 2667, 8508, 1612, 27845, 282, 2241, 4606, 555, 5854, 2016, 5169, 14397, 268, 321, 22227, 431, 16, 17653, 20420, 6677, 2450, 43265, 1778, 2145, 14008, 31232, 18, 47014, 2727, 410, 94, 36189, 519, 2287, 5096, 12957, 368, 294, 305, 283, 673, 291, 289, 477, 16748, 18, 824, 8872, 6705, 779, 11453, 2147, 2241, 14231, 4843, 3572, 16, 26, 5096, 18, 824, 47270, 16, 282, 3734, 48311, 1045, 11726, 2879, 16122, 4843, 23, 16, 11275, 384, 23, 16, 13539, 309, 26314, 18, 415, 11977, 4840, 2727, 410, 94, 23970, 267, 816, 43, 46043, 289, 18927, 79, 23334, 1021, 4919, 4020, 1201, 10218, 282, 12500, 3734, 779, 18, 36844, 15154, 281, 9752, 16178, 4896, 4843, 6862, 5096, 18, 1253, 840, 10031, 7769, 440, 8087, 349, 2948, 24998, 17788, 4076, 18927, 79, 23334, 1021, 4919, 4020, 1201, 289, 816, 43, 46043, 16, 449, 40868, 2682, 3518, 5084, 16178, 16, 367, 1038, 23563, 18942, 329, 1442, 18, 52, 18, 18018, 5253, 289, 1234, 18208, 1149, 6855, 83, 18, 7720, 673, 343, 7220, 40520, 37001, 2727, 410, 94, 16, 367, 1038, 22996, 2632, 16, 289, 16, 428, 19988, 16, 840, 32313, 282, 15301, 19936, 3734, 779, 18, 951, 12160, 444, 11766, 8022, 341, 31333, 6187, 13198, 5324, 5016, 285, 399, 795, 27400, 5888, 39544, 321, 18, 817, 6750, 341, 309, 6402, 8892, 281, 430, 4189, 3734, 779, 18, 5043, 16, 768, 511, 475, 3066, 8633, 282, 2241, 651, 492, 840, 9540, 23267, 11050, 12456, 16, 840, 4417, 3203, 662, 282, 35351, 18820, 951, 12160, 444, 11766, 289, 8633, 282, 722, 9774, 547, 40745, 18, 12726, 11400, 2727, 410, 94, 309, 21767, 31083, 18040, 53, 294, 1281, 18, 11672, 334, 35722, 1612, 18814, 309, 2239, 16, 754, 9, 519, 4843, 11327, 16, 8914, 349, 10168, 16, 3131, 17204, 14231, 4843, 6091, 16, 1618, 5096, 18, 504, 1000, 607, 951, 12160, 444, 11766, 20299, 309, 816, 16, 13896, 9, 519, 4843, 1618, 16, 3420, 16, 4211, 2241, 30081, 282, 4843, 26, 16, 14746, 5096, 18, 2, 1, 87, 1456, 81, 2448, 30, 6014, 17, 431, 15532, 309, 478, 1182, 272, 10907, 19033, 470, 27633, 3118, 39243, 360, 27673, 18, 42667, 309, 24710, 16, 2303, 289, 11364, 379, 4851, 13156, 6846, 24687, 322, 2619, 1533, 986, 16, 6881, 14697, 18, 740, 27633, 9013, 7556, 12570, 282, 14885, 10126, 432, 25533, 282, 1888, 7338, 18, 996, 16, 786, 1410, 18565, 69, 3957, 23625, 1423, 12237, 282, 13198, 12326, 657, 28887, 23759, 3414, 16, 2412, 9037, 40372, 27673, 16, 1715, 519, 3417, 5999, 31224, 30, 1659, 17772, 10126, 432, 6518, 30921, 282, 10440, 840, 24375, 1569, 519, 25788, 16, 3828, 8099, 7234, 289, 9779, 10440, 27049, 46023, 768, 3653, 331, 18, 9857, 3003, 7239, 1011, 15532, 309, 7020, 478, 1182, 272, 10907, 4782, 17, 21, 910, 2917, 1754, 36544, 14576, 448, 1810, 18, 1591, 12241, 25034, 27673, 16, 15780, 30259, 525, 3785, 478, 56, 2740, 8430, 470, 8977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10207, 3763, 16, 515, 1055, 5702, 541, 10376, 1552, 18, 19070, 2727, 410, 94, 768, 511, 840, 4153, 4138, 281, 15566, 303, 27299, 882, 1330, 282, 19504, 21791, 8393, 18, 31224, 30, 30348, 303, 26446, 6187, 13198, 5324, 21791, 8393, 951, 12160, 444, 11766, 28338, 27700, 768, 511, 8022, 341, 11113, 1081, 18990, 970, 766, 434, 294, 305, 1616, 513, 289, 477, 16748, 1021, 18, 46, 18, 2727, 410, 94, 18, 640, 1335, 9515, 492, 8018, 266, 44719, 6260, 5044, 16, 1029, 50234, 1595, 3059, 1011, 18890, 15154, 334, 13486, 2727, 410, 94, 48953, 8933, 24934, 10616, 3495, 1832, 871, 18927, 79, 23334, 1021, 4919, 4020, 1201, 289, 27273, 2818, 4328, 554, 816, 43, 46043, 18, 478, 983, 4042, 27700, 473, 1916, 511, 13, 1623, 40427, 8996, 4309, 281, 44724, 536, 13071, 282, 38926, 40056, 9623, 16, 510, 15875, 1234, 55, 46, 8348, 35585, 22691, 816, 43, 46043, 31977, 28216, 17543, 18, 651, 385, 22725, 564, 505, 23506, 16, 5222, 933, 25828, 289, 25870, 16321, 35880, 12893, 6977, 505, 43234, 23049, 16, 1029, 38436, 6402, 20840, 17659, 416, 3182, 2727, 410, 94, 861, 14691, 17, 7745, 768, 511, 25512, 951, 12160, 444, 11766, 281, 3597, 4479, 779, 651, 349, 481, 808, 492, 13382, 282, 13858, 40697, 2047, 2241, 309, 29577, 11612, 16, 1175, 289, 22643, 18, 2667, 21546, 282, 2089, 10845, 492, 45252, 5751, 20141, 11024, 17688, 49173, 6407, 47980, 1407, 13800, 18, 478, 11227, 703, 6174, 6292, 1852, 9774, 536, 19201, 2727, 410, 94, 16, 510, 2815, 768, 511, 18, 651, 8444, 1623, 2059, 411, 13573, 44913, 6271, 16, 14340, 31179, 1754, 1623, 8357, 17659, 434, 294, 305, 1616, 513, 18, 629, 281, 24521, 17885, 2742, 1810, 282, 10400, 547, 21992, 281, 3609, 17, 23390, 12230, 2241, 16, 19716, 289, 26435, 16, 753, 29469, 4211, 651, 428, 309, 6958, 4357, 16, 453, 289, 309, 26962, 5066, 289, 15092, 42053, 17010, 4719, 6832, 29062, 8520, 18, 1178, 3111, 360, 965, 16, 502, 417, 289, 3476, 6956, 13392, 590, 18321, 282, 8027, 19495, 7474, 16, 289, 281, 24521, 27797, 16, 785, 14156, 7818, 505, 27293, 14762, 861, 4320, 44514, 8633, 20712, 7067, 18820, 16, 12984, 289, 9774, 536, 19201, 2727, 410, 94, 18, 817, 840, 3624, 281, 768, 511, 304, 16, 753, 9193, 14042, 539, 25059, 1357, 4090, 36271, 282, 4211, 17, 41531, 1013, 18, 824, 3163, 7620, 816, 43, 46043, 289, 18927, 79, 23334, 1021, 4919, 4020, 1201, 16, 2241, 9813, 530, 281, 32853, 1305, 505, 8343, 17227, 282, 2518, 763, 1810, 282, 2727, 410, 94, 1011, 15160, 37001, 16, 2486, 39700, 309, 2555, 4238, 18, 365, 3998, 3990, 8846, 16, 374, 282, 1750, 40158, 6260, 5044, 281, 9515, 42436, 8840, 16, 492, 12845, 23851, 282, 9802, 4843, 10207, 3763, 18, 2727, 410, 94, 1623, 37819, 21340, 282, 15242, 294, 305, 283, 673, 291, 18, 8444, 906, 23590, 282, 8710, 29, 1045, 9374, 50035, 14397, 268, 3347, 1974, 281, 10082, 987, 3032, 391, 348, 1683, 424, 7848, 2727, 410, 94, 5436, 3625, 9508, 2211, 26485, 23120, 4281, 1476, 18657, 304, 18, 365, 1281, 8564, 1045, 3785, 2727, 410, 94, 5436, 3625, 9508, 381, 2430, 331, 5519, 16, 289, 9374, 14397, 268, 321, 6558, 3064, 10845, 1149, 18, 10, 46, 18, 2727, 410, 94, 309, 1634, 4576, 289, 7680, 18, 365, 44045, 1045, 492, 13135, 18204, 10845, 1149, 18, 10, 46, 18, 2727, 410, 94, 329, 1634, 15311, 289, 23825, 1475, 722, 282, 1021, 18, 46, 18, 2727, 410, 94, 18, 2667, 8508, 1612, 27845, 282, 2241, 4606, 555, 5854, 2016, 5169, 14397, 268, 321, 22227, 431, 16, 17653, 20420, 6677, 2450, 43265, 1778, 2145, 14008, 31232, 18, 47014, 2727, 410, 94, 36189, 519, 2287, 5096, 12957, 368, 294, 305, 283, 673, 291, 289, 477, 16748, 18, 824, 8872, 6705, 779, 11453, 2147, 2241, 14231, 4843, 3572, 16, 26, 5096, 18, 824, 47270, 16, 282, 3734, 48311, 1045, 11726, 2879, 16122, 4843, 23, 16, 11275, 384, 23, 16, 13539, 309, 26314, 18, 415, 11977, 4840, 2727, 410, 94, 23970, 267, 816, 43, 46043, 289, 18927, 79, 23334, 1021, 4919, 4020, 1201, 10218, 282, 12500, 3734, 779, 18, 36844, 15154, 281, 9752, 16178, 4896, 4843, 6862, 5096, 18, 1253, 840, 10031, 7769, 440, 8087, 349, 2948, 24998, 17788, 4076, 18927, 79, 23334, 1021, 4919, 4020, 1201, 289, 816, 43, 46043, 16, 449, 40868, 2682, 3518, 5084, 16178, 16, 367, 1038, 23563, 18942, 329, 1442, 18, 52, 18, 18018, 5253, 289, 1234, 18208, 1149, 6855, 83, 18, 7720, 673, 343, 7220, 40520, 37001, 2727, 410, 94, 16, 367, 1038, 22996, 2632, 16, 289, 16, 428, 19988, 16, 840, 32313, 282, 15301, 19936, 3734, 779, 18, 951, 12160, 444, 11766, 8022, 341, 31333, 6187, 13198, 5324, 5016, 285, 399, 795, 27400, 5888, 39544, 321, 18, 817, 6750, 341, 309, 6402, 8892, 281, 430, 4189, 3734, 779, 18, 5043, 16, 768, 511, 475, 3066, 8633, 282, 2241, 651, 492, 840, 9540, 23267, 11050, 12456, 16, 840, 4417, 3203, 662, 282, 35351, 18820, 951, 12160, 444, 11766, 289, 8633, 282, 722, 9774, 547, 40745, 18, 12726, 11400, 2727, 410, 94, 309, 21767, 31083, 18040, 53, 294, 1281, 18, 11672, 334, 35722, 1612, 18814, 309, 2239, 16, 754, 9, 519, 4843, 11327, 16, 8914, 349, 10168, 16, 3131, 17204, 14231, 4843, 6091, 16, 1618, 5096, 18, 504, 1000, 607, 951, 12160, 444, 11766, 20299, 309, 816, 16, 13896, 9, 519, 4843, 1618, 16, 3420, 16, 4211, 2241, 30081, 282, 4843, 26, 16, 14746, 5096, 18, 2, 1, 87, 1456, 81, 2448, 30, 6014, 17, 431, 15532, 309, 478, 1182, 272, 10907, 19033, 470, 27633, 3118, 39243, 360, 27673, 18, 42667, 309, 24710, 16, 2303, 289, 11364, 379, 4851, 13156, 6846, 24687, 322, 2619, 1533, 986, 16, 6881, 14697, 18, 740, 27633, 9013, 7556, 12570, 282, 14885, 10126, 432, 25533, 282, 1888, 7338, 18, 996, 16, 786, 1410, 18565, 69, 3957, 23625, 1423, 12237, 282, 13198, 12326, 657, 28887, 23759, 3414, 16, 2412, 9037, 40372, 27673, 16, 1715, 519, 3417, 5999, 31224, 30, 1659, 17772, 10126, 432, 6518, 30921, 282, 10440, 840, 24375, 1569, 519, 25788, 16, 3828, 8099, 7234, 289, 9779, 10440, 27049, 46023, 768, 3653, 331, 18, 9857, 3003, 7239, 1011, 15532, 309, 7020, 478, 1182, 272, 10907, 4782, 17, 21, 910, 2917, 1754, 36544, 14576, 448, 1810, 18, 1591, 12241, 25034, 27673, 16, 15780, 30259, 525, 3785, 478, 56, 2740, 8430, 470, 8977 ]
[ 16, 374, 15069, 13187, 477, 1963, 16271, 44488, 10255, 16357, 14953, 4995, 2917, 1240, 3158, 1184, 291, 6566, 4827, 2632, 27673, 16, 753, 21977, 8776, 2606, 282, 4993, 32802, 6466, 3128, 18, 824, 3163, 7638, 17, 2589, 2553, 27049, 2527, 30433, 391, 6074, 16, 3350, 290, 14885, 3741, 27673, 8015, 1973, 11129, 16, 367, 360, 675, 10307, 1595, 3017, 7020, 1747, 25477, 16, 785, 387, 3290, 467, 1595, 36920, 21301, 18, 365, 4675, 808, 282, 10440, 411, 17842, 10126, 432, 4827, 2632, 7393, 1472, 1912, 30, 2301, 411, 1129, 16135, 798, 411, 14621, 282, 3198, 35285, 2287, 3990, 16, 2301, 510, 2396, 2773, 1011, 19349, 309, 12289, 7376, 12917, 879, 28789, 18, 967, 803, 1055, 537, 1176, 411, 1110, 6255, 49638, 291, 16, 374, 8056, 1110, 42957, 269, 16, 322, 685, 27652, 864, 2365, 18, 27289, 28131, 541, 978, 2993, 1852, 5849, 5247, 22631, 17, 42989, 16, 294, 3279, 1698, 953, 6244, 4633, 7190, 22880, 1009, 9899, 1605, 1624, 3828, 768, 3653, 331, 18, 740, 27652, 864, 2888, 7020, 2003, 541, 8274, 10664, 434, 31869, 19322, 10440, 16, 4725, 492, 18, 42667, 10440, 309, 2393, 13156, 6846, 895, 13898, 322, 2619, 1533, 986, 16, 18604, 2712, 6187, 23061, 49336, 3281, 4210, 28995, 375, 18, 39569, 485, 10744, 31473, 11944, 322, 3459, 5832, 3709, 304, 645, 451, 3038, 360, 27673, 30, 7020, 13731, 30147, 1734, 14355, 553, 16, 367, 15535, 1385, 3521, 5122, 282, 4008, 11771, 16, 15693, 266, 975, 9216, 22029, 346, 3594, 459, 35755, 478, 618, 1080, 441, 470, 9829, 2124, 2774, 375, 18, 824, 30580, 3741, 47089, 3521, 5122, 24687, 8396, 491, 443, 23, 779, 16, 282, 22792, 9805, 478, 18306, 470, 5304, 19323, 17338, 309, 2921, 1165, 23545, 23392, 29479, 8697, 473, 10852, 1009, 13, 282, 46832, 16, 18604, 2712, 11658, 29830, 15507, 411, 504, 9827, 18, 5181, 16, 18836, 8697, 895, 993, 423, 506, 282, 16020, 3860, 16, 289, 16, 3235, 924, 16, 44257, 3232, 412, 21316, 4128, 25728, 1617, 3775, 334, 2921, 1876, 8613, 1009, 16, 753, 29085, 22142, 3137, 10216, 10440, 16, 46340, 2124, 2774, 375, 18, 478, 563, 9752, 14236, 10355, 10931, 282, 4698, 3678, 8111, 840, 1101, 506, 309, 11364, 379, 4851, 13156, 6846, 16, 367, 1472, 2512, 309, 24710, 289, 2303, 910, 510, 5273, 28995, 375, 18, 824, 505, 4734, 16, 1698, 953, 12033, 5681, 6025, 28070, 16, 1830, 289, 2702, 17356, 448, 12890, 282, 1335, 1767, 16, 3057, 16, 334, 14728, 28755, 25945, 309, 31783, 9576, 18, 7249, 309, 32850, 15993, 10808, 27673, 16, 30362, 360, 6997, 3741, 25533, 282, 1888, 7338, 27633, 322, 26579, 18, 2124, 19806, 268, 786, 1410, 18565, 69, 8643, 9744, 290, 18202, 1939, 9, 28143, 13198, 5731, 4020, 13949, 282, 20515, 944, 7297, 541, 27673, 12326, 657, 28887, 23759, 3414, 16, 5301, 1273, 27971, 15402, 24639, 477, 7755, 309, 13156, 18, 1178, 36273, 9934, 16, 25254, 3785, 477, 28244, 17, 17827, 19968, 3118, 18075, 997, 424, 6457, 30625, 30, 14702, 29022, 19504, 282, 12326, 657, 28887, 23759, 3414, 35471, 1715, 519, 3417, 5999, 21561, 986, 2158, 786, 1410, 18565, 69, 25073, 20391, 9, 12326, 657, 28887, 329, 10727, 1059, 2772, 17153, 1149, 89, 9178, 969, 40666, 349, 4843, 24, 16, 22, 5096, 16, 367, 5731, 4020, 13949, 1939, 9, 349, 4843, 21, 16, 8771, 5096, 16, 6244, 7069, 281, 3195, 21490, 51, 18, 608, 5731, 4020, 726, 912, 653, 876, 309, 16790, 1360, 18828, 786, 1410, 18565, 69, 16, 2686, 36273, 475, 764, 895, 14370, 1920, 18, 28578, 1162, 3785, 26967, 1561, 3589, 808, 16, 753, 26017, 488, 1519, 1595, 4211, 30, 1314, 3333, 2553, 37406, 10302, 294, 30863, 6846, 18, 365, 4810, 16, 16582, 1183, 289, 15871, 5658, 10419, 360, 6997, 3741, 27673, 18, 478, 18771, 322, 2619, 2174, 23513, 2548, 290, 970, 16, 374, 27633, 8493, 6228, 17488, 7043, 6997, 10126, 432, 25533, 16, 282, 970, 2875, 282, 2145, 910, 510, 23751, 29830, 15507, 18, 832, 20846, 1038, 16, 374, 786, 1410, 18565, 69, 29569, 12340, 281, 3195, 12326, 657, 28887, 23759, 3414, 322, 687, 27673, 16, 515, 289, 15535, 1505, 7020, 282, 3453, 10440, 16, 2548, 2124, 2774, 375, 18, 2, 1, 87, 1456, 81, 2448, 30, 32263, 9680, 29565, 7070, 1736, 999, 4752, 354, 1011, 37358, 282, 1681, 380, 2557, 281, 478, 38900, 1699, 339, 910, 3227, 8521, 32586, 28940, 326, 2389, 16, 4848, 16, 11256, 6173, 492, 595, 364, 1423, 8616, 1251, 16865, 289, 24721, 2229, 9242, 18, 30858, 742, 13397, 1275, 14179, 6211, 636, 20149, 3973, 16, 374, 975, 639, 475, 3066, 16, 374, 282, 8267, 322, 31834, 1543, 399, 14448, 478, 6397, 1699, 355, 470, 8920, 440, 10061, 18, 31224, 30, 30688, 2659, 1223, 16, 33803, 1133, 13397, 873, 453, 519, 3915, 322, 7737, 14505, 5873, 281, 7437, 890, 599, 1388, 680, 478, 13802, 823, 318, 470, 309, 294, 599, 890, 599, 1388, 718, 25883, 11178, 8604, 282, 5503, 478, 38900, 1699, 274, 910, 1029, 13694, 5564, 434, 334, 5313, 395, 21755, 282, 1681, 380, 2557, 18, 1178, 3111, 381, 9547, 16, 502, 18319, 291, 873, 1715, 322, 15536, 414, 537, 282, 828, 21680, 6137, 18, 459, 4426, 30475, 27165, 332, 2101, 3340, 1624, 1283, 2822, 2948, 282, 3217, 9155, 16, 794, 1838, 462, 400, 42397, 4671, 280, 12084, 1624, 1478, 2822, 8440, 526, 16, 289, 9026, 7033, 9547, 19671, 521, 24407, 12046, 586, 300, 363, 476, 21166, 2497, 14943, 629, 344, 29180, 26158, 16, 282, 28715, 21439, 16, 25309, 16, 8782, 297, 18542, 282, 23975, 808, 371, 20545, 430, 30, 23, 18, 996, 374, 282, 31445, 48148, 16, 349, 13808, 539, 478, 38900, 1699, 339, 910, 42969, 2529, 1472, 334, 28940, 326, 2675, 16, 371, 489, 2795, 16, 428, 8396, 16, 294, 4679, 18, 2787, 16, 374, 16452, 32908, 29565, 519, 4319, 1326, 322, 34832, 360, 2566, 434, 32940, 281, 349, 11624, 363, 3334, 478, 3363, 486, 2535, 910, 11661, 289, 38331, 33803, 1275, 7070, 1736, 999, 4752, 354, 18, 478, 4348, 1741, 816, 30, 21, 16, 515, 4369, 5740, 11222, 16, 1218, 44932, 4793, 309, 4884, 5066, 16, 510, 1109, 492, 971, 18, 651, 365, 15301, 29235, 656, 16, 428, 5130, 16, 2500, 29182, 18, 740, 42262, 322, 6203, 2195, 289, 316, 811, 519, 3915, 16, 2391, 35452, 48148, 18, 1345, 282, 10434, 1653, 808, 18997, 16, 374, 12650, 1580, 9806, 282, 1335, 35772, 1003, 18, 2112, 9764, 1195, 478, 13802, 303, 2344, 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, 374, 15069, 13187, 477, 1963, 16271, 44488, 10255, 16357, 14953, 4995, 2917, 1240, 3158, 1184, 291, 6566, 4827, 2632, 27673, 16, 753, 21977, 8776, 2606, 282, 4993, 32802, 6466, 3128, 18, 824, 3163, 7638, 17, 2589, 2553, 27049, 2527, 30433, 391, 6074, 16, 3350, 290, 14885, 3741, 27673, 8015, 1973, 11129, 16, 367, 360, 675, 10307, 1595, 3017, 7020, 1747, 25477, 16, 785, 387, 3290, 467, 1595, 36920, 21301, 18, 365, 4675, 808, 282, 10440, 411, 17842, 10126, 432, 4827, 2632, 7393, 1472, 1912, 30, 2301, 411, 1129, 16135, 798, 411, 14621, 282, 3198, 35285, 2287, 3990, 16, 2301, 510, 2396, 2773, 1011, 19349, 309, 12289, 7376, 12917, 879, 28789, 18, 967, 803, 1055, 537, 1176, 411, 1110, 6255, 49638, 291, 16, 374, 8056, 1110, 42957, 269, 16, 322, 685, 27652, 864, 2365, 18, 27289, 28131, 541, 978, 2993, 1852, 5849, 5247, 22631, 17, 42989, 16, 294, 3279, 1698, 953, 6244, 4633, 7190, 22880, 1009, 9899, 1605, 1624, 3828, 768, 3653, 331, 18, 740, 27652, 864, 2888, 7020, 2003, 541, 8274, 10664, 434, 31869, 19322, 10440, 16, 4725, 492, 18, 42667, 10440, 309, 2393, 13156, 6846, 895, 13898, 322, 2619, 1533, 986, 16, 18604, 2712, 6187, 23061, 49336, 3281, 4210, 28995, 375, 18, 39569, 485, 10744, 31473, 11944, 322, 3459, 5832, 3709, 304, 645, 451, 3038, 360, 27673, 30, 7020, 13731, 30147, 1734, 14355, 553, 16, 367, 15535, 1385, 3521, 5122, 282, 4008, 11771, 16, 15693, 266, 975, 9216, 22029, 346, 3594, 459, 35755, 478, 618, 1080, 441, 470, 9829, 2124, 2774, 375, 18, 824, 30580, 3741, 47089, 3521, 5122, 24687, 8396, 491, 443, 23, 779, 16, 282, 22792, 9805, 478, 18306, 470, 5304, 19323, 17338, 309, 2921, 1165, 23545, 23392, 29479, 8697, 473, 10852, 1009, 13, 282, 46832, 16, 18604, 2712, 11658, 29830, 15507, 411, 504, 9827, 18, 5181, 16, 18836, 8697, 895, 993, 423, 506, 282, 16020, 3860, 16, 289, 16, 3235, 924, 16, 44257, 3232, 412, 21316, 4128, 25728, 1617, 3775, 334, 2921, 1876, 8613, 1009, 16, 753, 29085, 22142, 3137, 10216, 10440, 16, 46340, 2124, 2774, 375, 18, 478, 563, 9752, 14236, 10355, 10931, 282, 4698, 3678, 8111, 840, 1101, 506, 309, 11364, 379, 4851, 13156, 6846, 16, 367, 1472, 2512, 309, 24710, 289, 2303, 910, 510, 5273, 28995, 375, 18, 824, 505, 4734, 16, 1698, 953, 12033, 5681, 6025, 28070, 16, 1830, 289, 2702, 17356, 448, 12890, 282, 1335, 1767, 16, 3057, 16, 334, 14728, 28755, 25945, 309, 31783, 9576, 18, 7249, 309, 32850, 15993, 10808, 27673, 16, 30362, 360, 6997, 3741, 25533, 282, 1888, 7338, 27633, 322, 26579, 18, 2124, 19806, 268, 786, 1410, 18565, 69, 8643, 9744, 290, 18202, 1939, 9, 28143, 13198, 5731, 4020, 13949, 282, 20515, 944, 7297, 541, 27673, 12326, 657, 28887, 23759, 3414, 16, 5301, 1273, 27971, 15402, 24639, 477, 7755, 309, 13156, 18, 1178, 36273, 9934, 16, 25254, 3785, 477, 28244, 17, 17827, 19968, 3118, 18075, 997, 424, 6457, 30625, 30, 14702, 29022, 19504, 282, 12326, 657, 28887, 23759, 3414, 35471, 1715, 519, 3417, 5999, 21561, 986, 2158, 786, 1410, 18565, 69, 25073, 20391, 9, 12326, 657, 28887, 329, 10727, 1059, 2772, 17153, 1149, 89, 9178, 969, 40666, 349, 4843, 24, 16, 22, 5096, 16, 367, 5731, 4020, 13949, 1939, 9, 349, 4843, 21, 16, 8771, 5096, 16, 6244, 7069, 281, 3195, 21490, 51, 18, 608, 5731, 4020, 726, 912, 653, 876, 309, 16790, 1360, 18828, 786, 1410, 18565, 69, 16, 2686, 36273, 475, 764, 895, 14370, 1920, 18, 28578, 1162, 3785, 26967, 1561, 3589, 808, 16, 753, 26017, 488, 1519, 1595, 4211, 30, 1314, 3333, 2553, 37406, 10302, 294, 30863, 6846, 18, 365, 4810, 16, 16582, 1183, 289, 15871, 5658, 10419, 360, 6997, 3741, 27673, 18, 478, 18771, 322, 2619, 2174, 23513, 2548, 290, 970, 16, 374, 27633, 8493, 6228, 17488, 7043, 6997, 10126, 432, 25533, 16, 282, 970, 2875, 282, 2145, 910, 510, 23751, 29830, 15507, 18, 832, 20846, 1038, 16, 374, 786, 1410, 18565, 69, 29569, 12340, 281, 3195, 12326, 657, 28887, 23759, 3414, 322, 687, 27673, 16, 515, 289, 15535, 1505, 7020, 282, 3453, 10440, 16, 2548, 2124, 2774, 375, 18, 2, 1, 87, 1456, 81, 2448, 30, 32263, 9680, 29565, 7070, 1736, 999, 4752, 354, 1011, 37358, 282, 1681, 380, 2557, 281, 478, 38900, 1699, 339, 910, 3227, 8521, 32586, 28940, 326, 2389, 16, 4848, 16, 11256, 6173, 492, 595, 364, 1423, 8616, 1251, 16865, 289, 24721, 2229, 9242, 18, 30858, 742, 13397, 1275, 14179, 6211, 636, 20149, 3973, 16, 374, 975, 639, 475, 3066, 16, 374, 282, 8267, 322, 31834, 1543, 399, 14448, 478, 6397, 1699, 355, 470, 8920, 440, 10061, 18, 31224, 30, 30688, 2659, 1223, 16, 33803, 1133, 13397, 873, 453, 519, 3915, 322, 7737, 14505, 5873, 281, 7437, 890, 599, 1388, 680, 478, 13802, 823, 318, 470, 309, 294, 599, 890, 599, 1388, 718, 25883, 11178, 8604, 282, 5503, 478, 38900, 1699, 274, 910, 1029, 13694, 5564, 434, 334, 5313, 395, 21755, 282, 1681, 380, 2557, 18, 1178, 3111, 381, 9547, 16, 502, 18319, 291, 873, 1715, 322, 15536, 414, 537, 282, 828, 21680, 6137, 18, 459, 4426, 30475, 27165, 332, 2101, 3340, 1624, 1283, 2822, 2948, 282, 3217, 9155, 16, 794, 1838, 462, 400, 42397, 4671, 280, 12084, 1624, 1478, 2822, 8440, 526, 16, 289, 9026, 7033, 9547, 19671, 521, 24407, 12046, 586, 300, 363, 476, 21166, 2497, 14943, 629, 344, 29180, 26158, 16, 282, 28715, 21439, 16, 25309, 16, 8782, 297, 18542, 282, 23975, 808, 371, 20545, 430, 30, 23, 18, 996, 374, 282, 31445, 48148, 16, 349, 13808, 539, 478, 38900, 1699, 339, 910, 42969, 2529, 1472, 334, 28940, 326, 2675, 16, 371, 489, 2795, 16, 428, 8396, 16, 294, 4679, 18, 2787, 16, 374, 16452, 32908, 29565, 519, 4319, 1326, 322, 34832, 360, 2566, 434, 32940, 281, 349, 11624, 363, 3334, 478, 3363, 486, 2535, 910, 11661, 289, 38331, 33803, 1275, 7070, 1736, 999, 4752, 354, 18, 478, 4348, 1741, 816, 30, 21, 16, 515, 4369, 5740, 11222, 16, 1218, 44932, 4793, 309, 4884, 5066, 16, 510, 1109, 492, 971, 18, 651, 365, 15301, 29235, 656, 16, 428, 5130, 16, 2500, 29182, 18, 740, 42262, 322, 6203, 2195, 289, 316, 811, 519, 3915, 16, 2391, 35452, 48148, 18, 1345, 282, 10434, 1653, 808, 18997, 16, 374, 12650, 1580, 9806, 282, 1335, 35772, 1003, 18, 2112, 9764, 1195, 478, 13802, 303, 2344, 470 ]
[ 3333, 33224, 16, 374, 942, 14024, 4038, 2868, 861, 510, 1397, 387, 7299, 2200, 21166, 3328, 1011, 6740, 10485, 35, 510, 629, 1109, 773, 16, 374, 1381, 22369, 506, 18, 48234, 11028, 12525, 1011, 2900, 7977, 16, 1029, 685, 1293, 2868, 2158, 18, 996, 374, 3711, 697, 16, 1089, 315, 4538, 16, 2832, 5242, 657, 6479, 473, 6781, 833, 8694, 999, 4752, 552, 9680, 29565, 8920, 32114, 22016, 2025, 1774, 267, 19284, 481, 334, 17, 21362, 428, 478, 795, 2869, 334, 2916, 2827, 861, 510, 3654, 322, 11347, 7550, 20990, 523, 11331, 510, 817, 1055, 322, 1623, 3348, 411, 7518, 3609, 1385, 30556, 18, 3791, 656, 505, 5892, 538, 289, 322, 2458, 13449, 424, 478, 38900, 27472, 910, 3387, 42262, 757, 8695, 16, 374, 492, 651, 1379, 1543, 399, 14448, 16, 289, 6435, 373, 505, 18, 1895, 6563, 4751, 975, 48359, 1558, 519, 13420, 4466, 18, 478, 48428, 11164, 525, 2117, 16, 651, 1109, 1011, 7977, 629, 344, 14940, 18, 651, 12280, 11022, 27077, 32092, 16, 961, 16, 18042, 1063, 16, 322, 3524, 5740, 2038, 16, 29844, 519, 3915, 282, 502, 16, 374, 942, 3221, 2795, 14299, 16, 289, 6547, 481, 18, 365, 290, 551, 6189, 482, 329, 813, 906, 12031, 2678, 16, 2588, 656, 322, 26450, 414, 470, 510, 15827, 1635, 371, 23587, 35847, 478, 38900, 1699, 274, 470, 329, 1304, 5003, 19420, 282, 16690, 35, 510, 42343, 19420, 4959, 306, 322, 417, 16, 289, 322, 784, 11291, 334, 2856, 5083, 18, 2263, 417, 322, 282, 11069, 18, 510, 1012, 24757, 16, 374, 6045, 11707, 21188, 3005, 8947, 3728, 20112, 1558, 16, 38800, 1279, 2567, 5313, 282, 29565, 289, 16, 2805, 16, 1279, 18061, 38152, 291, 367, 35, 510, 14501, 16, 3725, 41366, 1711, 1211, 16, 785, 745, 19502, 6281, 1279, 1574, 3946, 2840, 4966, 18, 608, 813, 3333, 687, 6977, 5487, 12182, 282, 28604, 16, 3255, 14725, 282, 14742, 35772, 18, 3923, 16, 912, 28354, 16, 2486, 15056, 18, 459, 329, 21755, 1122, 9988, 322, 687, 38152, 291, 18, 20516, 811, 477, 2200, 26434, 289, 25236, 29565, 14179, 6211, 636, 20149, 1624, 13736, 1779, 281, 17604, 496, 478, 32485, 18, 8381, 470, 1833, 1011, 924, 16, 428, 309, 4038, 281, 33411, 504, 394, 326, 536, 726, 1011, 4466, 25165, 1817, 26676, 309, 11532, 9476, 18, 478, 4529, 16, 639, 4750, 16, 374, 1299, 322, 9929, 13726, 400, 18, 365, 8267, 281, 478, 13802, 303, 2344, 470, 656, 24366, 1269, 1333, 289, 34447, 18, 740, 656, 1038, 2125, 898, 953, 1534, 4697, 294, 5750, 3756, 29218, 16, 867, 1033, 374, 329, 813, 639, 1421, 2299, 309, 16129, 16, 510, 1109, 492, 18, 651, 832, 3684, 16, 374, 42262, 3404, 374, 17, 299, 45619, 16, 1139, 656, 975, 20800, 453, 6281, 18, 5454, 16, 656, 505, 37309, 326, 16, 322, 453, 4195, 2602, 18908, 1279, 1047, 18, 15517, 16, 1011, 2900, 10421, 2009, 7977, 428, 281, 478, 13802, 303, 2344, 470, 639, 4525, 16, 515, 481, 322, 8720, 6281, 453, 4702, 861, 510, 415, 4724, 3467, 520, 387, 1851, 17, 3697, 1128, 29615, 371, 36962, 18800, 27857, 4593, 16787, 309, 15867, 5778, 272, 282, 1681, 380, 2557, 35, 510, 889, 5571, 13641, 832, 290, 1209, 10705, 912, 3738, 665, 16946, 16, 581, 289, 1500, 575, 1681, 380, 328, 322, 1574, 3084, 1332, 18, 459, 541, 1047, 3147, 7003, 549, 1187, 798, 18, 510, 6630, 2342, 3306, 520, 387, 281, 23056, 16, 785, 13517, 16, 374, 1279, 1304, 322, 31834, 8920, 440, 10061, 35, 510, 6023, 481, 475, 3066, 18, 3647, 827, 373, 492, 11347, 16, 481, 639, 373, 1882, 1717, 541, 813, 18, 817, 30522, 16, 367, 4226, 1047, 4223, 4960, 16, 1029, 1717, 1904, 9988, 282, 19329, 18, 510, 5621, 9680, 687, 374, 1109, 16, 374, 1011, 6740, 10485, 975, 3711, 16, 1089, 315, 4538, 16, 282, 14663, 1337, 334, 4187, 3787, 10009, 18, 11966, 16, 282, 43813, 582, 282, 1500, 2083, 639, 29440, 35, 510, 6490, 22469, 16, 685, 23714, 14827, 4077, 18, 6023, 5780, 16, 374, 1381, 22369, 506, 16, 28409, 357, 16, 374, 2955, 453, 6281, 4745, 18, 28634, 2110, 15029, 4077, 18, 11333, 7036, 289, 6034, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 18, 2, 1, 87, 1456, 81, 2448, 30, 5786, 344, 2147, 478, 49867, 470, 334, 8872, 3612, 17, 3852, 354, 16, 5938, 6489, 4068, 11024, 282, 10666, 15861, 28536, 16, 18814, 309, 3436, 16, 26, 9, 282, 4662, 304, 36534, 289, 309, 3405, 9, 282, 1671, 426, 7237, 36534, 334, 7413, 281, 41050, 32973, 12260, 4419, 16, 5575, 2617, 430, 1409, 5759, 5096, 1671, 18, 47568, 3161, 16, 29, 5096, 814, 10462, 5596, 11726, 12523, 6406, 15513, 451, 6591, 349, 4101, 1061, 986, 18, 2949, 924, 16, 478, 28828, 319, 470, 3085, 3391, 49564, 2496, 36204, 43065, 6271, 334, 4982, 395, 19915, 18, 31224, 30, 822, 50079, 49234, 349, 816, 5196, 282, 5521, 304, 36534, 5915, 3230, 16, 828, 329, 24411, 473, 560, 344, 2147, 8992, 92, 461, 49, 4166, 787, 282, 4662, 304, 36534, 18814, 309, 1760, 16, 27, 7418, 17558, 90, 7169, 651, 309, 1939, 16, 29, 7418, 7262, 5784, 651, 309, 3703, 16, 27, 7418, 951, 52, 651, 309, 3405, 16, 25, 7418, 22480, 674, 12293, 6407, 651, 309, 667, 16, 24, 18314, 1302, 38, 24220, 18040, 349, 430, 20981, 36701, 309, 667, 16, 23, 9, 282, 4662, 304, 289, 309, 1760, 16, 26, 9, 282, 1671, 426, 7237, 36534, 334, 7413, 281, 430, 20981, 304, 7847, 779, 16, 5575, 2617, 9690, 25, 13814, 2791, 47568, 26, 16, 28, 5096, 814, 33350, 572, 4167, 3230, 4956, 9192, 948, 17, 293, 3323, 32790, 11248, 5781, 289, 7796, 40311, 6802, 18, 10462, 5596, 575, 11726, 12523, 6406, 15513, 451, 6591, 349, 4101, 1061, 986, 18, 6682, 32934, 6591, 651, 282, 1488, 445, 20981, 294, 12445, 1918, 510, 685, 687, 282, 3734, 1045, 16, 785, 3785, 26017, 488, 6406, 282, 28536, 16174, 457, 13628, 17, 677, 730, 18, 3863, 15497, 1038, 42931, 1114, 4956, 9192, 948, 17, 293, 3323, 5321, 276, 18, 450, 50079, 7019, 15891, 9811, 282, 6236, 547, 19936, 329, 478, 49867, 470, 510, 6917, 14113, 282, 12893, 473, 26, 3324, 21956, 824, 12821, 3612, 17, 3852, 354, 478, 28828, 319, 470, 3085, 3391, 49564, 2496, 17310, 36204, 6271, 334, 1194, 48531, 10070, 2675, 309, 20992, 47568, 23 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3333, 33224, 16, 374, 942, 14024, 4038, 2868, 861, 510, 1397, 387, 7299, 2200, 21166, 3328, 1011, 6740, 10485, 35, 510, 629, 1109, 773, 16, 374, 1381, 22369, 506, 18, 48234, 11028, 12525, 1011, 2900, 7977, 16, 1029, 685, 1293, 2868, 2158, 18, 996, 374, 3711, 697, 16, 1089, 315, 4538, 16, 2832, 5242, 657, 6479, 473, 6781, 833, 8694, 999, 4752, 552, 9680, 29565, 8920, 32114, 22016, 2025, 1774, 267, 19284, 481, 334, 17, 21362, 428, 478, 795, 2869, 334, 2916, 2827, 861, 510, 3654, 322, 11347, 7550, 20990, 523, 11331, 510, 817, 1055, 322, 1623, 3348, 411, 7518, 3609, 1385, 30556, 18, 3791, 656, 505, 5892, 538, 289, 322, 2458, 13449, 424, 478, 38900, 27472, 910, 3387, 42262, 757, 8695, 16, 374, 492, 651, 1379, 1543, 399, 14448, 16, 289, 6435, 373, 505, 18, 1895, 6563, 4751, 975, 48359, 1558, 519, 13420, 4466, 18, 478, 48428, 11164, 525, 2117, 16, 651, 1109, 1011, 7977, 629, 344, 14940, 18, 651, 12280, 11022, 27077, 32092, 16, 961, 16, 18042, 1063, 16, 322, 3524, 5740, 2038, 16, 29844, 519, 3915, 282, 502, 16, 374, 942, 3221, 2795, 14299, 16, 289, 6547, 481, 18, 365, 290, 551, 6189, 482, 329, 813, 906, 12031, 2678, 16, 2588, 656, 322, 26450, 414, 470, 510, 15827, 1635, 371, 23587, 35847, 478, 38900, 1699, 274, 470, 329, 1304, 5003, 19420, 282, 16690, 35, 510, 42343, 19420, 4959, 306, 322, 417, 16, 289, 322, 784, 11291, 334, 2856, 5083, 18, 2263, 417, 322, 282, 11069, 18, 510, 1012, 24757, 16, 374, 6045, 11707, 21188, 3005, 8947, 3728, 20112, 1558, 16, 38800, 1279, 2567, 5313, 282, 29565, 289, 16, 2805, 16, 1279, 18061, 38152, 291, 367, 35, 510, 14501, 16, 3725, 41366, 1711, 1211, 16, 785, 745, 19502, 6281, 1279, 1574, 3946, 2840, 4966, 18, 608, 813, 3333, 687, 6977, 5487, 12182, 282, 28604, 16, 3255, 14725, 282, 14742, 35772, 18, 3923, 16, 912, 28354, 16, 2486, 15056, 18, 459, 329, 21755, 1122, 9988, 322, 687, 38152, 291, 18, 20516, 811, 477, 2200, 26434, 289, 25236, 29565, 14179, 6211, 636, 20149, 1624, 13736, 1779, 281, 17604, 496, 478, 32485, 18, 8381, 470, 1833, 1011, 924, 16, 428, 309, 4038, 281, 33411, 504, 394, 326, 536, 726, 1011, 4466, 25165, 1817, 26676, 309, 11532, 9476, 18, 478, 4529, 16, 639, 4750, 16, 374, 1299, 322, 9929, 13726, 400, 18, 365, 8267, 281, 478, 13802, 303, 2344, 470, 656, 24366, 1269, 1333, 289, 34447, 18, 740, 656, 1038, 2125, 898, 953, 1534, 4697, 294, 5750, 3756, 29218, 16, 867, 1033, 374, 329, 813, 639, 1421, 2299, 309, 16129, 16, 510, 1109, 492, 18, 651, 832, 3684, 16, 374, 42262, 3404, 374, 17, 299, 45619, 16, 1139, 656, 975, 20800, 453, 6281, 18, 5454, 16, 656, 505, 37309, 326, 16, 322, 453, 4195, 2602, 18908, 1279, 1047, 18, 15517, 16, 1011, 2900, 10421, 2009, 7977, 428, 281, 478, 13802, 303, 2344, 470, 639, 4525, 16, 515, 481, 322, 8720, 6281, 453, 4702, 861, 510, 415, 4724, 3467, 520, 387, 1851, 17, 3697, 1128, 29615, 371, 36962, 18800, 27857, 4593, 16787, 309, 15867, 5778, 272, 282, 1681, 380, 2557, 35, 510, 889, 5571, 13641, 832, 290, 1209, 10705, 912, 3738, 665, 16946, 16, 581, 289, 1500, 575, 1681, 380, 328, 322, 1574, 3084, 1332, 18, 459, 541, 1047, 3147, 7003, 549, 1187, 798, 18, 510, 6630, 2342, 3306, 520, 387, 281, 23056, 16, 785, 13517, 16, 374, 1279, 1304, 322, 31834, 8920, 440, 10061, 35, 510, 6023, 481, 475, 3066, 18, 3647, 827, 373, 492, 11347, 16, 481, 639, 373, 1882, 1717, 541, 813, 18, 817, 30522, 16, 367, 4226, 1047, 4223, 4960, 16, 1029, 1717, 1904, 9988, 282, 19329, 18, 510, 5621, 9680, 687, 374, 1109, 16, 374, 1011, 6740, 10485, 975, 3711, 16, 1089, 315, 4538, 16, 282, 14663, 1337, 334, 4187, 3787, 10009, 18, 11966, 16, 282, 43813, 582, 282, 1500, 2083, 639, 29440, 35, 510, 6490, 22469, 16, 685, 23714, 14827, 4077, 18, 6023, 5780, 16, 374, 1381, 22369, 506, 16, 28409, 357, 16, 374, 2955, 453, 6281, 4745, 18, 28634, 2110, 15029, 4077, 18, 11333, 7036, 289, 6034, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 18, 2, 1, 87, 1456, 81, 2448, 30, 5786, 344, 2147, 478, 49867, 470, 334, 8872, 3612, 17, 3852, 354, 16, 5938, 6489, 4068, 11024, 282, 10666, 15861, 28536, 16, 18814, 309, 3436, 16, 26, 9, 282, 4662, 304, 36534, 289, 309, 3405, 9, 282, 1671, 426, 7237, 36534, 334, 7413, 281, 41050, 32973, 12260, 4419, 16, 5575, 2617, 430, 1409, 5759, 5096, 1671, 18, 47568, 3161, 16, 29, 5096, 814, 10462, 5596, 11726, 12523, 6406, 15513, 451, 6591, 349, 4101, 1061, 986, 18, 2949, 924, 16, 478, 28828, 319, 470, 3085, 3391, 49564, 2496, 36204, 43065, 6271, 334, 4982, 395, 19915, 18, 31224, 30, 822, 50079, 49234, 349, 816, 5196, 282, 5521, 304, 36534, 5915, 3230, 16, 828, 329, 24411, 473, 560, 344, 2147, 8992, 92, 461, 49, 4166, 787, 282, 4662, 304, 36534, 18814, 309, 1760, 16, 27, 7418, 17558, 90, 7169, 651, 309, 1939, 16, 29, 7418, 7262, 5784, 651, 309, 3703, 16, 27, 7418, 951, 52, 651, 309, 3405, 16, 25, 7418, 22480, 674, 12293, 6407, 651, 309, 667, 16, 24, 18314, 1302, 38, 24220, 18040, 349, 430, 20981, 36701, 309, 667, 16, 23, 9, 282, 4662, 304, 289, 309, 1760, 16, 26, 9, 282, 1671, 426, 7237, 36534, 334, 7413, 281, 430, 20981, 304, 7847, 779, 16, 5575, 2617, 9690, 25, 13814, 2791, 47568, 26, 16, 28, 5096, 814, 33350, 572, 4167, 3230, 4956, 9192, 948, 17, 293, 3323, 32790, 11248, 5781, 289, 7796, 40311, 6802, 18, 10462, 5596, 575, 11726, 12523, 6406, 15513, 451, 6591, 349, 4101, 1061, 986, 18, 6682, 32934, 6591, 651, 282, 1488, 445, 20981, 294, 12445, 1918, 510, 685, 687, 282, 3734, 1045, 16, 785, 3785, 26017, 488, 6406, 282, 28536, 16174, 457, 13628, 17, 677, 730, 18, 3863, 15497, 1038, 42931, 1114, 4956, 9192, 948, 17, 293, 3323, 5321, 276, 18, 450, 50079, 7019, 15891, 9811, 282, 6236, 547, 19936, 329, 478, 49867, 470, 510, 6917, 14113, 282, 12893, 473, 26, 3324, 21956, 824, 12821, 3612, 17, 3852, 354, 478, 28828, 319, 470, 3085, 3391, 49564, 2496, 17310, 36204, 6271, 334, 1194, 48531, 10070, 2675, 309, 20992, 47568, 23 ]
[ 16, 23, 309, 316, 18, 268, 18, 599, 6185, 824, 7413, 281, 49509, 20981, 304, 4243, 13965, 33200, 309, 491, 16, 29, 5999, 8444, 1038, 3085, 3391, 1713, 8984, 44505, 7019, 18567, 3094, 9406, 19459, 282, 6588, 360, 11248, 24411, 18, 21692, 451, 3094, 5937, 6469, 17247, 5702, 1713, 5966, 726, 309, 7266, 3436, 45891, 9410, 18, 365, 6236, 547, 29235, 15497, 12076, 2418, 22, 5096, 1671, 18, 473, 925, 4843, 22, 16, 25, 5096, 814, 889, 1033, 828, 282, 816, 16, 22, 4570, 1143, 16, 828, 282, 1032, 19936, 7847, 779, 18, 6831, 17310, 308, 355, 2266, 3690, 478, 28828, 319, 470, 2397, 309, 1497, 45194, 44505, 7019, 33200, 18567, 3094, 9406, 19459, 282, 12445, 4357, 36534, 473, 4691, 27, 21956, 6193, 990, 6802, 31616, 478, 14845, 25767, 470, 8296, 17247, 18, 19735, 286, 8570, 290, 13486, 26838, 18, 33705, 33891, 2497, 19540, 15442, 478, 49867, 470, 5009, 5385, 294, 9747, 3990, 309, 13531, 9, 349, 2948, 697, 449, 40868, 2682, 18088, 6150, 23232, 758, 44398, 289, 12917, 346, 41073, 18, 39491, 2110, 5040, 40102, 12776, 432, 28029, 685, 2957, 928, 281, 6603, 9, 519, 3610, 9, 360, 15891, 9811, 334, 37428, 18175, 18, 478, 28828, 319, 470, 3085, 3391, 49564, 2496, 36204, 43065, 6271, 334, 43190, 19915, 10960, 289, 6902, 1580, 49521, 291, 18, 996, 16, 282, 430, 19936, 11826, 779, 33412, 49521, 291, 14231, 1061, 16, 12630, 3763, 316, 18, 268, 18, 599, 18, 282, 8729, 16, 374, 11450, 24880, 1032, 22652, 7847, 779, 18, 6765, 1208, 272, 26687, 33412, 6902, 1580, 49521, 291, 36701, 20981, 294, 12445, 1918, 309, 2239, 16, 23, 9, 289, 14231, 1032, 16, 11672, 3763, 4316, 269, 18, 640, 803, 8011, 2109, 26599, 787, 7636, 364, 20992, 6902, 1580, 49521, 291, 309, 1061, 16, 25, 7418, 951, 52, 376, 309, 1061, 16, 21, 7418, 8992, 92, 461, 49, 4166, 787, 376, 309, 1061, 7418, 7262, 5784, 651, 309, 1032, 16, 23, 7418, 22480, 674, 12293, 6407, 651, 309, 430, 16, 24, 5999, 967, 803, 309, 8011, 10326, 478, 28828, 12411, 470, 20394, 282, 4301, 15154, 45904, 15, 1028, 1208, 272, 26687, 33412, 6902, 1580, 49521, 291, 1205, 294, 1045, 41626, 1472, 309, 430, 16, 22, 5999, 41651, 16, 374, 48281, 7019, 19915, 7180, 286, 309, 5155, 5881, 304, 1069, 12925, 651, 478, 730, 682, 17, 4298, 1709, 328, 15207, 464, 17792, 861, 7188, 26687, 33412, 36701, 309, 1533, 16, 28, 9, 334, 8823, 294, 430, 12445, 1918, 7847, 779, 289, 41969, 17045, 5760, 4500, 18, 7833, 282, 8729, 18, 3863, 6441, 50101, 349, 2948, 29181, 9578, 8786, 282, 1767, 4953, 427, 16, 19669, 36985, 16, 367, 1038, 15606, 11897, 26764, 370, 17562, 821, 419, 281, 11237, 12517, 19066, 598, 5146, 289, 1269, 419, 5055, 434, 19066, 598, 5146, 821, 419, 18, 28413, 44286, 17760, 5247, 2241, 411, 7619, 31031, 770, 651, 2263, 370, 12790, 1880, 376, 1038, 31167, 1713, 8984, 44505, 19915, 30, 4668, 20, 16, 23, 9, 334, 8872, 430, 22652, 11826, 779, 1279, 18412, 309, 816, 17, 25, 9, 282, 30326, 3142, 18, 15079, 4523, 8866, 50101, 4426, 5657, 3707, 15922, 40311, 24825, 1388, 289, 16685, 344, 4696, 36633, 32163, 18, 16375, 675, 24283, 35973, 478, 49867, 470, 309, 439, 46386, 20299, 309, 1488, 9, 1205, 294, 1045, 18, 9668, 478, 49867, 470, 7550, 2777, 1690, 1624, 48131, 6236, 622, 349, 430, 20981, 11826, 779, 16, 2815, 16, 374, 3785, 12523, 6406, 41377, 28609, 14412, 10445, 16, 374, 2805, 34984, 24344, 36692, 18567, 3094, 9406, 19459, 16, 1029, 5575, 2418, 22, 5096, 1671, 2211, 670, 491, 16, 25, 5096, 25741, 18, 334, 8872, 6236, 434, 10485, 18, 478, 677, 803, 1045, 3785, 726, 5009, 4318, 5040, 36101, 2466, 14412, 20394, 309, 13531, 7418, 6353, 5471, 8521, 18465, 12565, 346, 24942, 831, 18, 1591, 7422, 19936, 11826, 779, 3785, 22644, 27741, 18820, 5851, 13840, 15774, 334, 30106, 48953, 6066, 14529, 910, 510, 4725, 2777, 1690, 18, 478, 677, 4675, 808, 3785, 371, 7145, 294, 697, 12917, 323, 7446, 16, 374, 17650, 294, 1713, 5966, 12821, 282, 13673, 12445, 2664, 18, 385, 9752, 1335, 1810, 16, 367, 1038, 6152, 14254, 416, 33028, 38305, 2087, 656, 7614, 339, 18571, 18412, 16178, 2241, 289, 17714, 5844, 447, 541, 37001, 910, 510, 9299, 5037, 478, 49867, 861, 20409, 33843, 860, 16664, 1863, 1185, 9856, 1200, 764, 282, 6104, 1045, 18604, 4110, 16, 374, 11826, 1205, 4040, 15513, 536, 541, 478, 49867, 470, 282, 9347, 2930, 553, 18567, 3094, 9406, 19459, 289, 40102, 12776, 416, 4388, 617, 18, 33350, 2873, 430, 22652, 15141, 2625, 870, 12980, 18, 24114, 411, 2559, 334, 30106, 4388, 617, 541, 37001, 906, 1978, 798, 7938, 6384, 434, 49379, 11400, 473, 37928, 93, 8800, 13, 282, 9802, 4843, 22, 5096, 282, 3178, 11826, 17, 2932, 2932, 5521, 309, 20511, 5814, 18, 26049, 93, 8800, 15516, 567, 491, 19936, 16642, 779, 1011, 7358, 18811, 38365, 7622, 21848, 18, 2112, 22812, 1443, 978, 4075, 8296, 478, 49867, 470, 309, 10143, 21767, 49587, 7569, 416, 6591, 35162, 26, 16, 25, 21327, 367, 34450, 2961, 2385, 10940, 8990, 25447, 19510, 2241, 18, 478, 28828, 319, 470, 7199, 34034, 12182, 282, 6942, 11897, 29186, 416, 8990, 18, 1345, 2961, 19281, 16889, 1066, 519, 478, 14845, 25767, 470, 289, 1906, 27953, 12778, 309, 3405, 9, 510, 519, 4843, 27, 16, 23, 910, 376, 4725, 41330, 30729, 10, 47740, 9060, 2674, 38342, 1123, 5101, 18, 365, 1423, 3678, 16, 34450, 860, 16664, 1863, 1185, 9856, 1200, 44165, 2839, 775, 1231, 289, 11303, 5819, 6587, 23867, 281, 2184, 23669, 16, 48431, 3003, 290, 45022, 4103, 1161, 18477, 27399, 21833, 304, 18, 478, 4348, 2961, 19281, 1906, 27953, 12778, 11400, 478, 49867, 470, 519, 4843, 27, 16, 22, 289, 14790, 339, 16889, 1066, 478, 14845, 25767, 910, 376, 34259, 745, 18, 22209, 20578, 3335, 715, 3618, 87, 18696, 2674, 14543, 17055, 289, 19287, 22931, 712, 1038, 11152, 13051, 451, 7834, 44258, 30, 478, 630, 2226, 427, 23271, 6152, 3741, 26821, 860, 10, 37, 16, 11443, 17085, 289, 17714, 3403, 431, 266, 1155, 898, 4853, 24793, 8996, 12230, 18, 478, 28828, 319, 470, 46360, 23859, 1775, 4380, 334, 32084, 16178, 282, 28731, 1045, 861, 3739, 3348, 13842, 31342, 16, 2486, 282, 7823, 2993, 13051, 315, 1777, 506, 309, 4388, 617, 478, 49867, 910, 2438, 23556, 282, 3998, 3598, 290, 970, 16, 374, 531, 3430, 778, 6607, 532, 559, 2058, 31043 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23, 309, 316, 18, 268, 18, 599, 6185, 824, 7413, 281, 49509, 20981, 304, 4243, 13965, 33200, 309, 491, 16, 29, 5999, 8444, 1038, 3085, 3391, 1713, 8984, 44505, 7019, 18567, 3094, 9406, 19459, 282, 6588, 360, 11248, 24411, 18, 21692, 451, 3094, 5937, 6469, 17247, 5702, 1713, 5966, 726, 309, 7266, 3436, 45891, 9410, 18, 365, 6236, 547, 29235, 15497, 12076, 2418, 22, 5096, 1671, 18, 473, 925, 4843, 22, 16, 25, 5096, 814, 889, 1033, 828, 282, 816, 16, 22, 4570, 1143, 16, 828, 282, 1032, 19936, 7847, 779, 18, 6831, 17310, 308, 355, 2266, 3690, 478, 28828, 319, 470, 2397, 309, 1497, 45194, 44505, 7019, 33200, 18567, 3094, 9406, 19459, 282, 12445, 4357, 36534, 473, 4691, 27, 21956, 6193, 990, 6802, 31616, 478, 14845, 25767, 470, 8296, 17247, 18, 19735, 286, 8570, 290, 13486, 26838, 18, 33705, 33891, 2497, 19540, 15442, 478, 49867, 470, 5009, 5385, 294, 9747, 3990, 309, 13531, 9, 349, 2948, 697, 449, 40868, 2682, 18088, 6150, 23232, 758, 44398, 289, 12917, 346, 41073, 18, 39491, 2110, 5040, 40102, 12776, 432, 28029, 685, 2957, 928, 281, 6603, 9, 519, 3610, 9, 360, 15891, 9811, 334, 37428, 18175, 18, 478, 28828, 319, 470, 3085, 3391, 49564, 2496, 36204, 43065, 6271, 334, 43190, 19915, 10960, 289, 6902, 1580, 49521, 291, 18, 996, 16, 282, 430, 19936, 11826, 779, 33412, 49521, 291, 14231, 1061, 16, 12630, 3763, 316, 18, 268, 18, 599, 18, 282, 8729, 16, 374, 11450, 24880, 1032, 22652, 7847, 779, 18, 6765, 1208, 272, 26687, 33412, 6902, 1580, 49521, 291, 36701, 20981, 294, 12445, 1918, 309, 2239, 16, 23, 9, 289, 14231, 1032, 16, 11672, 3763, 4316, 269, 18, 640, 803, 8011, 2109, 26599, 787, 7636, 364, 20992, 6902, 1580, 49521, 291, 309, 1061, 16, 25, 7418, 951, 52, 376, 309, 1061, 16, 21, 7418, 8992, 92, 461, 49, 4166, 787, 376, 309, 1061, 7418, 7262, 5784, 651, 309, 1032, 16, 23, 7418, 22480, 674, 12293, 6407, 651, 309, 430, 16, 24, 5999, 967, 803, 309, 8011, 10326, 478, 28828, 12411, 470, 20394, 282, 4301, 15154, 45904, 15, 1028, 1208, 272, 26687, 33412, 6902, 1580, 49521, 291, 1205, 294, 1045, 41626, 1472, 309, 430, 16, 22, 5999, 41651, 16, 374, 48281, 7019, 19915, 7180, 286, 309, 5155, 5881, 304, 1069, 12925, 651, 478, 730, 682, 17, 4298, 1709, 328, 15207, 464, 17792, 861, 7188, 26687, 33412, 36701, 309, 1533, 16, 28, 9, 334, 8823, 294, 430, 12445, 1918, 7847, 779, 289, 41969, 17045, 5760, 4500, 18, 7833, 282, 8729, 18, 3863, 6441, 50101, 349, 2948, 29181, 9578, 8786, 282, 1767, 4953, 427, 16, 19669, 36985, 16, 367, 1038, 15606, 11897, 26764, 370, 17562, 821, 419, 281, 11237, 12517, 19066, 598, 5146, 289, 1269, 419, 5055, 434, 19066, 598, 5146, 821, 419, 18, 28413, 44286, 17760, 5247, 2241, 411, 7619, 31031, 770, 651, 2263, 370, 12790, 1880, 376, 1038, 31167, 1713, 8984, 44505, 19915, 30, 4668, 20, 16, 23, 9, 334, 8872, 430, 22652, 11826, 779, 1279, 18412, 309, 816, 17, 25, 9, 282, 30326, 3142, 18, 15079, 4523, 8866, 50101, 4426, 5657, 3707, 15922, 40311, 24825, 1388, 289, 16685, 344, 4696, 36633, 32163, 18, 16375, 675, 24283, 35973, 478, 49867, 470, 309, 439, 46386, 20299, 309, 1488, 9, 1205, 294, 1045, 18, 9668, 478, 49867, 470, 7550, 2777, 1690, 1624, 48131, 6236, 622, 349, 430, 20981, 11826, 779, 16, 2815, 16, 374, 3785, 12523, 6406, 41377, 28609, 14412, 10445, 16, 374, 2805, 34984, 24344, 36692, 18567, 3094, 9406, 19459, 16, 1029, 5575, 2418, 22, 5096, 1671, 2211, 670, 491, 16, 25, 5096, 25741, 18, 334, 8872, 6236, 434, 10485, 18, 478, 677, 803, 1045, 3785, 726, 5009, 4318, 5040, 36101, 2466, 14412, 20394, 309, 13531, 7418, 6353, 5471, 8521, 18465, 12565, 346, 24942, 831, 18, 1591, 7422, 19936, 11826, 779, 3785, 22644, 27741, 18820, 5851, 13840, 15774, 334, 30106, 48953, 6066, 14529, 910, 510, 4725, 2777, 1690, 18, 478, 677, 4675, 808, 3785, 371, 7145, 294, 697, 12917, 323, 7446, 16, 374, 17650, 294, 1713, 5966, 12821, 282, 13673, 12445, 2664, 18, 385, 9752, 1335, 1810, 16, 367, 1038, 6152, 14254, 416, 33028, 38305, 2087, 656, 7614, 339, 18571, 18412, 16178, 2241, 289, 17714, 5844, 447, 541, 37001, 910, 510, 9299, 5037, 478, 49867, 861, 20409, 33843, 860, 16664, 1863, 1185, 9856, 1200, 764, 282, 6104, 1045, 18604, 4110, 16, 374, 11826, 1205, 4040, 15513, 536, 541, 478, 49867, 470, 282, 9347, 2930, 553, 18567, 3094, 9406, 19459, 289, 40102, 12776, 416, 4388, 617, 18, 33350, 2873, 430, 22652, 15141, 2625, 870, 12980, 18, 24114, 411, 2559, 334, 30106, 4388, 617, 541, 37001, 906, 1978, 798, 7938, 6384, 434, 49379, 11400, 473, 37928, 93, 8800, 13, 282, 9802, 4843, 22, 5096, 282, 3178, 11826, 17, 2932, 2932, 5521, 309, 20511, 5814, 18, 26049, 93, 8800, 15516, 567, 491, 19936, 16642, 779, 1011, 7358, 18811, 38365, 7622, 21848, 18, 2112, 22812, 1443, 978, 4075, 8296, 478, 49867, 470, 309, 10143, 21767, 49587, 7569, 416, 6591, 35162, 26, 16, 25, 21327, 367, 34450, 2961, 2385, 10940, 8990, 25447, 19510, 2241, 18, 478, 28828, 319, 470, 7199, 34034, 12182, 282, 6942, 11897, 29186, 416, 8990, 18, 1345, 2961, 19281, 16889, 1066, 519, 478, 14845, 25767, 470, 289, 1906, 27953, 12778, 309, 3405, 9, 510, 519, 4843, 27, 16, 23, 910, 376, 4725, 41330, 30729, 10, 47740, 9060, 2674, 38342, 1123, 5101, 18, 365, 1423, 3678, 16, 34450, 860, 16664, 1863, 1185, 9856, 1200, 44165, 2839, 775, 1231, 289, 11303, 5819, 6587, 23867, 281, 2184, 23669, 16, 48431, 3003, 290, 45022, 4103, 1161, 18477, 27399, 21833, 304, 18, 478, 4348, 2961, 19281, 1906, 27953, 12778, 11400, 478, 49867, 470, 519, 4843, 27, 16, 22, 289, 14790, 339, 16889, 1066, 478, 14845, 25767, 910, 376, 34259, 745, 18, 22209, 20578, 3335, 715, 3618, 87, 18696, 2674, 14543, 17055, 289, 19287, 22931, 712, 1038, 11152, 13051, 451, 7834, 44258, 30, 478, 630, 2226, 427, 23271, 6152, 3741, 26821, 860, 10, 37, 16, 11443, 17085, 289, 17714, 3403, 431, 266, 1155, 898, 4853, 24793, 8996, 12230, 18, 478, 28828, 319, 470, 46360, 23859, 1775, 4380, 334, 32084, 16178, 282, 28731, 1045, 861, 3739, 3348, 13842, 31342, 16, 2486, 282, 7823, 2993, 13051, 315, 1777, 506, 309, 4388, 617, 478, 49867, 910, 2438, 23556, 282, 3998, 3598, 290, 970, 16, 374, 531, 3430, 778, 6607, 532, 559, 2058, 31043 ]
[ 2415, 21572, 11390, 1868, 4040, 32121, 1715, 667, 9, 478, 49867, 470, 510, 502, 912, 24721, 40692, 1069, 47784, 18, 42220, 3173, 24665, 617, 6152, 12068, 15154, 289, 12697, 7533, 617, 282, 23071, 37001, 478, 49867, 470, 12393, 766, 46319, 26788, 11897, 3131, 10414, 2241, 18, 25768, 523, 2906, 282, 10666, 16174, 726, 13202, 4110, 7190, 13573, 17310, 40311, 6802, 18, 478, 28828, 319, 470, 29611, 15170, 7005, 16, 961, 282, 5344, 5823, 309, 5066, 3338, 50040, 16, 510, 16170, 282, 21911, 593, 17688, 860, 16664, 1863, 1185, 9856, 1200, 18, 510, 1345, 5788, 339, 16, 374, 9250, 385, 17482, 840, 13051, 315, 4608, 10329, 2658, 635, 16, 3387, 1623, 7834, 304, 924, 16, 374, 3785, 2742, 10285, 1617, 33812, 334, 5009, 11188, 4103, 1161, 18477, 289, 32084, 3403, 431, 266, 1155, 18, 2949, 924, 16, 478, 28828, 319, 470, 13190, 1154, 14924, 282, 2948, 529, 412, 4603, 309, 7640, 5096, 1671, 18, 282, 5344, 477, 1963, 31755, 1018, 289, 6001, 488, 3480, 18, 1345, 34464, 339, 16889, 1066, 478, 14845, 25767, 470, 334, 478, 49867, 470, 289, 10579, 3989, 12839, 4699, 39724, 2241, 282, 9804, 1302, 42365, 44186, 861, 478, 38869, 1377, 548, 478, 49867, 470, 282, 430, 19936, 11826, 779, 376, 5922, 282, 37269, 6942, 16, 510, 48484, 282, 18018, 5253, 35260, 7162, 18, 510, 1345, 7614, 339, 13051, 668, 16296, 4368, 19801, 30, 15497, 1302, 38, 24220, 18040, 4167, 3230, 4956, 286, 47454, 16, 4103, 2232, 31909, 10201, 15661, 18412, 16, 367, 23467, 3094, 5937, 6469, 6353, 5471, 14572, 861, 478, 28828, 319, 470, 45074, 46263, 29169, 282, 38926, 1360, 4380, 334, 5009, 11188, 25257, 16178, 309, 6957, 5096, 1671, 2211, 5009, 659, 505, 309, 21090, 5096, 1671, 18, 282, 430, 19936, 16, 6895, 40338, 548, 16, 510, 48484, 282, 1770, 22471, 18, 510, 824, 36880, 2241, 309, 6398, 430, 22652, 11826, 779, 478, 28828, 319, 470, 11641, 455, 1033, 3417, 4500, 18, 4316, 269, 22811, 20261, 18, 24998, 26233, 3521, 5122, 470, 365, 1423, 3678, 282, 1075, 69, 22999, 73, 550, 534, 70, 5763, 25156, 16, 374, 478, 28828, 319, 470, 895, 13342, 385, 17482, 349, 11826, 1205, 519, 4843, 26, 5096, 473, 27946, 19134, 7540, 934, 374, 3118, 652, 35630, 2957, 7050, 44498, 700, 282, 9802, 4843, 23, 16, 25, 5096, 16, 961, 282, 1272, 4570, 8210, 530, 5040, 6705, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2463, 381, 22424, 4543, 302, 2375, 19639, 2203, 411, 608, 5619, 7134, 3531, 14326, 30, 722, 16548, 895, 36146, 411, 4849, 2203, 282, 5120, 616, 9328, 18, 824, 3761, 5792, 16, 567, 808, 289, 21711, 542, 18100, 1027, 4228, 35232, 8831, 722, 349, 2398, 289, 2038, 18, 14078, 302, 2375, 19639, 2016, 282, 870, 4701, 2879, 6273, 282, 1244, 539, 13331, 16, 515, 14703, 23054, 1279, 978, 16, 15804, 16, 374, 9016, 28507, 15492, 649, 349, 17948, 662, 309, 3705, 18, 31224, 30, 21664, 426, 486, 329, 12234, 680, 302, 2375, 19639, 2203, 16, 10180, 307, 4028, 17390, 282, 22424, 4543, 16, 895, 1852, 5120, 13389, 761, 14132, 1101, 428, 477, 23418, 2016, 8150, 18, 985, 3110, 10958, 478, 22766, 6115, 7157, 18, 344, 470, 477, 7755, 309, 17144, 6965, 7897, 16, 678, 35232, 8831, 3703, 17, 34600, 9016, 349, 2398, 289, 2038, 18, 640, 5734, 2083, 30961, 6981, 10189, 282, 2107, 13331, 16, 1450, 895, 5564, 649, 11969, 1743, 16, 5692, 7897, 18, 2949, 924, 16, 18290, 5792, 4848, 381, 4190, 12519, 17390, 282, 35524, 1624, 988, 745, 6535, 281, 2742, 4120, 18, 6158, 8731, 697, 424, 44649, 519, 5741, 3972, 18, 824, 3163, 15479, 16, 2903, 1712, 27341, 510, 282, 1034, 732, 17657, 510, 329, 12060, 17, 11884, 9539, 6660, 415, 8231, 334, 7546, 42782, 16714, 629, 620, 37115, 18, 4635, 505, 3808, 27233, 2664, 16, 334, 3761, 14824, 16, 898, 23076, 371, 21462, 1941, 22224, 4141, 18, 15924, 6604, 16134, 510, 7996, 608, 5246, 334, 608, 12234, 2818, 32379, 17530, 17, 7745, 28635, 22983, 512, 289, 7996, 608, 5246, 2776, 429, 328, 6599, 718, 3700, 3610, 17, 7745, 35694, 10347, 20076, 512, 510, 478, 324, 490, 1886, 282, 1033, 670, 2619, 6920, 7113, 4190, 861, 13984, 712, 1217, 24055, 23422, 334, 22983, 14457, 289, 20076, 14457, 519, 4319, 1326, 1003, 18, 14078, 27412, 1712, 3730, 6406, 6863, 309, 2768, 1281, 3972, 510, 1011, 1949, 4776, 309, 676, 45526, 18, 20346, 4411, 289, 15320, 18100, 1027, 5112, 30719, 289, 18, 262, 18, 9539, 6660, 16, 13737, 14703, 302, 2375, 19639, 2203, 18, 24028, 24136, 12130, 2788, 4892, 9016, 360, 15024, 8783, 334, 2856, 6619, 18, 4530, 867, 16, 334, 3761, 5792, 16, 722, 14703, 19341, 4893, 1279, 14574, 302, 2375, 19639, 2203, 282, 7573, 16, 3730, 6946, 28201, 3703, 17, 17827, 302, 2375, 19639, 2827, 3800, 17088, 18, 478, 4348, 1696, 322, 7836, 16, 428, 678, 965, 840, 5245, 18, 10113, 6052, 13056, 802, 1441, 322, 687, 294, 1420, 29856, 16, 515, 935, 10916, 2406, 16, 14642, 18, 12531, 678, 697, 10180, 3213, 35, 385, 1420, 935, 282, 12719, 2504, 322, 3957, 9535, 510, 18988, 18, 11066, 7996, 6660, 302, 20304, 1320, 9478, 7542, 42306, 910, 510, 15875, 478, 26843, 470, 19361, 6660, 12094, 18, 39212, 486, 39092, 4944, 14708, 344, 20173, 2815, 16, 374, 302, 2375, 19639, 2016, 1038, 2879, 953, 15492, 798, 5938, 7799, 272, 18, 478, 21664, 3002, 395, 18100, 1027, 7863, 3670, 16, 374, 827, 1085, 17, 299, 1842, 26497, 374, 17, 299, 282, 722, 4459, 16, 2222, 840, 4702, 18, 4663, 38343, 326, 349, 17948, 662, 16, 2006, 722, 322, 15369, 10531, 35, 3557, 1033, 16, 374, 282, 4599, 1710, 912, 1871, 12441, 448, 35338, 910, 510, 1109, 492, 16338, 18, 12404, 12441, 549, 49107, 16, 334, 3163, 14708, 344, 39970, 16, 6605, 1011, 7341, 4489, 282, 6292, 6814, 17329, 6431, 16, 785, 4228, 15012, 701, 289, 16192, 455, 294, 2200, 41158, 18, 36424, 3038, 16, 678, 5640, 15945, 282, 1595, 5554, 289, 31443, 3977, 18, 478, 25978, 10073, 11011, 16, 1176, 411, 12360, 935, 17058, 12992, 16, 753, 1543, 10387, 322, 17770, 977, 510, 453, 4228, 445, 7954, 975, 5894, 289, 1329, 16, 475, 281, 4170, 477, 2249, 910, 510, 7332, 1694, 14708, 344, 39970, 2832, 84, 18, 1572, 18, 17580, 49107, 6605, 16, 785, 302, 2375, 19639, 2016, 6276, 7331, 549, 309, 2768, 1011, 22424, 1237, 16, 5692, 30961, 18100, 1027, 18, 6319, 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 ]
[ 2415, 21572, 11390, 1868, 4040, 32121, 1715, 667, 9, 478, 49867, 470, 510, 502, 912, 24721, 40692, 1069, 47784, 18, 42220, 3173, 24665, 617, 6152, 12068, 15154, 289, 12697, 7533, 617, 282, 23071, 37001, 478, 49867, 470, 12393, 766, 46319, 26788, 11897, 3131, 10414, 2241, 18, 25768, 523, 2906, 282, 10666, 16174, 726, 13202, 4110, 7190, 13573, 17310, 40311, 6802, 18, 478, 28828, 319, 470, 29611, 15170, 7005, 16, 961, 282, 5344, 5823, 309, 5066, 3338, 50040, 16, 510, 16170, 282, 21911, 593, 17688, 860, 16664, 1863, 1185, 9856, 1200, 18, 510, 1345, 5788, 339, 16, 374, 9250, 385, 17482, 840, 13051, 315, 4608, 10329, 2658, 635, 16, 3387, 1623, 7834, 304, 924, 16, 374, 3785, 2742, 10285, 1617, 33812, 334, 5009, 11188, 4103, 1161, 18477, 289, 32084, 3403, 431, 266, 1155, 18, 2949, 924, 16, 478, 28828, 319, 470, 13190, 1154, 14924, 282, 2948, 529, 412, 4603, 309, 7640, 5096, 1671, 18, 282, 5344, 477, 1963, 31755, 1018, 289, 6001, 488, 3480, 18, 1345, 34464, 339, 16889, 1066, 478, 14845, 25767, 470, 334, 478, 49867, 470, 289, 10579, 3989, 12839, 4699, 39724, 2241, 282, 9804, 1302, 42365, 44186, 861, 478, 38869, 1377, 548, 478, 49867, 470, 282, 430, 19936, 11826, 779, 376, 5922, 282, 37269, 6942, 16, 510, 48484, 282, 18018, 5253, 35260, 7162, 18, 510, 1345, 7614, 339, 13051, 668, 16296, 4368, 19801, 30, 15497, 1302, 38, 24220, 18040, 4167, 3230, 4956, 286, 47454, 16, 4103, 2232, 31909, 10201, 15661, 18412, 16, 367, 23467, 3094, 5937, 6469, 6353, 5471, 14572, 861, 478, 28828, 319, 470, 45074, 46263, 29169, 282, 38926, 1360, 4380, 334, 5009, 11188, 25257, 16178, 309, 6957, 5096, 1671, 2211, 5009, 659, 505, 309, 21090, 5096, 1671, 18, 282, 430, 19936, 16, 6895, 40338, 548, 16, 510, 48484, 282, 1770, 22471, 18, 510, 824, 36880, 2241, 309, 6398, 430, 22652, 11826, 779, 478, 28828, 319, 470, 11641, 455, 1033, 3417, 4500, 18, 4316, 269, 22811, 20261, 18, 24998, 26233, 3521, 5122, 470, 365, 1423, 3678, 282, 1075, 69, 22999, 73, 550, 534, 70, 5763, 25156, 16, 374, 478, 28828, 319, 470, 895, 13342, 385, 17482, 349, 11826, 1205, 519, 4843, 26, 5096, 473, 27946, 19134, 7540, 934, 374, 3118, 652, 35630, 2957, 7050, 44498, 700, 282, 9802, 4843, 23, 16, 25, 5096, 16, 961, 282, 1272, 4570, 8210, 530, 5040, 6705, 779, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2463, 381, 22424, 4543, 302, 2375, 19639, 2203, 411, 608, 5619, 7134, 3531, 14326, 30, 722, 16548, 895, 36146, 411, 4849, 2203, 282, 5120, 616, 9328, 18, 824, 3761, 5792, 16, 567, 808, 289, 21711, 542, 18100, 1027, 4228, 35232, 8831, 722, 349, 2398, 289, 2038, 18, 14078, 302, 2375, 19639, 2016, 282, 870, 4701, 2879, 6273, 282, 1244, 539, 13331, 16, 515, 14703, 23054, 1279, 978, 16, 15804, 16, 374, 9016, 28507, 15492, 649, 349, 17948, 662, 309, 3705, 18, 31224, 30, 21664, 426, 486, 329, 12234, 680, 302, 2375, 19639, 2203, 16, 10180, 307, 4028, 17390, 282, 22424, 4543, 16, 895, 1852, 5120, 13389, 761, 14132, 1101, 428, 477, 23418, 2016, 8150, 18, 985, 3110, 10958, 478, 22766, 6115, 7157, 18, 344, 470, 477, 7755, 309, 17144, 6965, 7897, 16, 678, 35232, 8831, 3703, 17, 34600, 9016, 349, 2398, 289, 2038, 18, 640, 5734, 2083, 30961, 6981, 10189, 282, 2107, 13331, 16, 1450, 895, 5564, 649, 11969, 1743, 16, 5692, 7897, 18, 2949, 924, 16, 18290, 5792, 4848, 381, 4190, 12519, 17390, 282, 35524, 1624, 988, 745, 6535, 281, 2742, 4120, 18, 6158, 8731, 697, 424, 44649, 519, 5741, 3972, 18, 824, 3163, 15479, 16, 2903, 1712, 27341, 510, 282, 1034, 732, 17657, 510, 329, 12060, 17, 11884, 9539, 6660, 415, 8231, 334, 7546, 42782, 16714, 629, 620, 37115, 18, 4635, 505, 3808, 27233, 2664, 16, 334, 3761, 14824, 16, 898, 23076, 371, 21462, 1941, 22224, 4141, 18, 15924, 6604, 16134, 510, 7996, 608, 5246, 334, 608, 12234, 2818, 32379, 17530, 17, 7745, 28635, 22983, 512, 289, 7996, 608, 5246, 2776, 429, 328, 6599, 718, 3700, 3610, 17, 7745, 35694, 10347, 20076, 512, 510, 478, 324, 490, 1886, 282, 1033, 670, 2619, 6920, 7113, 4190, 861, 13984, 712, 1217, 24055, 23422, 334, 22983, 14457, 289, 20076, 14457, 519, 4319, 1326, 1003, 18, 14078, 27412, 1712, 3730, 6406, 6863, 309, 2768, 1281, 3972, 510, 1011, 1949, 4776, 309, 676, 45526, 18, 20346, 4411, 289, 15320, 18100, 1027, 5112, 30719, 289, 18, 262, 18, 9539, 6660, 16, 13737, 14703, 302, 2375, 19639, 2203, 18, 24028, 24136, 12130, 2788, 4892, 9016, 360, 15024, 8783, 334, 2856, 6619, 18, 4530, 867, 16, 334, 3761, 5792, 16, 722, 14703, 19341, 4893, 1279, 14574, 302, 2375, 19639, 2203, 282, 7573, 16, 3730, 6946, 28201, 3703, 17, 17827, 302, 2375, 19639, 2827, 3800, 17088, 18, 478, 4348, 1696, 322, 7836, 16, 428, 678, 965, 840, 5245, 18, 10113, 6052, 13056, 802, 1441, 322, 687, 294, 1420, 29856, 16, 515, 935, 10916, 2406, 16, 14642, 18, 12531, 678, 697, 10180, 3213, 35, 385, 1420, 935, 282, 12719, 2504, 322, 3957, 9535, 510, 18988, 18, 11066, 7996, 6660, 302, 20304, 1320, 9478, 7542, 42306, 910, 510, 15875, 478, 26843, 470, 19361, 6660, 12094, 18, 39212, 486, 39092, 4944, 14708, 344, 20173, 2815, 16, 374, 302, 2375, 19639, 2016, 1038, 2879, 953, 15492, 798, 5938, 7799, 272, 18, 478, 21664, 3002, 395, 18100, 1027, 7863, 3670, 16, 374, 827, 1085, 17, 299, 1842, 26497, 374, 17, 299, 282, 722, 4459, 16, 2222, 840, 4702, 18, 4663, 38343, 326, 349, 17948, 662, 16, 2006, 722, 322, 15369, 10531, 35, 3557, 1033, 16, 374, 282, 4599, 1710, 912, 1871, 12441, 448, 35338, 910, 510, 1109, 492, 16338, 18, 12404, 12441, 549, 49107, 16, 334, 3163, 14708, 344, 39970, 16, 6605, 1011, 7341, 4489, 282, 6292, 6814, 17329, 6431, 16, 785, 4228, 15012, 701, 289, 16192, 455, 294, 2200, 41158, 18, 36424, 3038, 16, 678, 5640, 15945, 282, 1595, 5554, 289, 31443, 3977, 18, 478, 25978, 10073, 11011, 16, 1176, 411, 12360, 935, 17058, 12992, 16, 753, 1543, 10387, 322, 17770, 977, 510, 453, 4228, 445, 7954, 975, 5894, 289, 1329, 16, 475, 281, 4170, 477, 2249, 910, 510, 7332, 1694, 14708, 344, 39970, 2832, 84, 18, 1572, 18, 17580, 49107, 6605, 16, 785, 302, 2375, 19639, 2016, 6276, 7331, 549, 309, 2768, 1011, 22424, 1237, 16, 5692, 30961, 18100, 1027, 18, 6319, 400 ]
[ 23619, 289, 282, 23567, 6233, 2776, 429, 328, 6599, 718, 3700, 16, 988, 5931, 1176, 411, 17627, 4486, 35694, 10347, 20076, 512, 18, 985, 3110, 2832, 84, 18, 1572, 16, 1122, 5658, 387, 1282, 3493, 478, 554, 292, 36997, 14064, 289, 334, 15541, 470, 371, 3599, 9898, 432, 1333, 18, 31995, 659, 3893, 16, 374, 309, 2928, 3717, 538, 1326, 1616, 16, 12599, 281, 1754, 2125, 4292, 12171, 282, 2928, 1449, 26413, 289, 9339, 451, 36956, 18, 985, 3110, 7897, 10195, 16, 18626, 3171, 44209, 1947, 282, 3622, 4330, 289, 327, 300, 3462, 15076, 334, 9399, 395, 16, 1772, 5740, 41356, 16, 9737, 312, 1166, 3353, 4334, 16, 25409, 20428, 289, 24581, 329, 19178, 1333, 14086, 8475, 1046, 507, 17, 46570, 1731, 16, 20936, 2989, 282, 25839, 18, 478, 822, 414, 13619, 41133, 322, 4902, 16064, 702, 281, 4413, 289, 322, 21025, 18621, 16, 1030, 16, 481, 16975, 3084, 16, 510, 10662, 7897, 18, 510, 999, 20404, 539, 9704, 48318, 16, 374, 289, 5698, 42049, 17209, 1833, 35471, 16, 289, 9539, 5828, 3788, 289, 4155, 21691, 861, 7106, 16, 282, 3765, 281, 4518, 309, 2555, 3802, 9208, 6814, 17329, 6431, 20908, 282, 15347, 1268, 1148, 334, 7546, 42782, 1268, 1148, 8231, 1175, 334, 608, 12234, 2818, 32379, 7151, 49645, 18, 985, 5273, 22204, 16, 6774, 5475, 745, 25732, 294, 1190, 3703, 17, 34600, 302, 2375, 19639, 2825, 281, 34293, 16, 40198, 8761, 874, 289, 282, 6031, 22424, 3637, 9016, 18, 22983, 512, 16, 20076, 512, 289, 629, 620, 15512, 47939, 3637, 722, 478, 343, 2085, 47079, 16, 3891, 4933, 910, 5130, 282, 3286, 6585, 302, 2375, 19639, 2203, 16, 371, 803, 30534, 11730, 282, 478, 26666, 2209, 289, 3986, 1790, 843, 2209, 5492, 861, 478, 8244, 1827, 6355, 7175, 11261, 16, 9208, 1827, 6355, 16, 1055, 1176, 47939, 1475, 16, 481, 28706, 281, 3405, 30, 5041, 519, 2239, 30, 3161, 910, 510, 3014, 411, 33014, 18, 2790, 30485, 448, 7005, 33104, 23481, 320, 345, 936, 23051, 4005, 3595, 19082, 21303, 309, 1560, 302, 2375, 19639, 2203, 18, 3791, 898, 23076, 3808, 27233, 2664, 629, 620, 37115, 18, 4756, 16220, 30650, 5063, 455, 16, 374, 567, 808, 22424, 1237, 6556, 21166, 2497, 8926, 282, 21140, 16, 367, 322, 282, 23567, 18, 640, 5421, 1119, 1011, 32413, 475, 9208, 5164, 898, 15492, 1007, 411, 8231, 18, 46899, 11285, 5292, 18562, 1272, 36156, 1101, 30, 334, 34582, 478, 732, 885, 8610, 1700, 470, 289, 478, 34865, 696, 3595, 3193, 43547, 9766, 861, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1133, 3938, 25725, 5324, 1858, 13731, 360, 1902, 33544, 289, 30705, 71, 1950, 18412, 42194, 349, 2273, 8665, 553, 371, 18202, 7438, 18, 7743, 726, 19740, 519, 5129, 18, 459, 481, 322, 2615, 1263, 30, 282, 6104, 1045, 1963, 329, 2111, 326, 13013, 282, 5072, 48236, 547, 4666, 16, 1902, 33544, 16, 30705, 71, 1950, 289, 1817, 6802, 6524, 3467, 1702, 4325, 426, 2381, 1033, 4843, 27, 5096, 18, 31224, 30, 684, 1005, 17241, 16775, 1702, 4325, 40577, 16, 6895, 860, 17093, 1564, 25480, 289, 786, 6855, 980, 12772, 84, 16, 3424, 30359, 1263, 1279, 8594, 5281, 1440, 1902, 33544, 289, 30705, 71, 1950, 18, 365, 6104, 1045, 8594, 6343, 2926, 726, 6524, 3467, 1033, 4843, 27, 5096, 282, 3106, 23371, 349, 281, 3528, 371, 47425, 34530, 349, 16495, 33410, 14952, 18, 740, 2204, 1250, 14888, 19456, 2253, 3191, 281, 2273, 8665, 1437, 16, 46251, 282, 1263, 263, 18, 43289, 355, 40577, 13731, 13342, 39288, 16, 6524, 18525, 12260, 4419, 16, 367, 1038, 19760, 4162, 8424, 349, 2273, 8665, 553, 16, 5301, 10027, 21408, 18, 7743, 840, 13880, 5545, 416, 1551, 8882, 292, 47646, 798, 18, 6831, 9235, 2279, 1038, 23054, 1442, 39, 26950, 3810, 16, 1802, 20514, 80, 1564, 12772, 84, 289, 786, 46, 60, 769, 1410, 18, 18197, 23763, 25254, 10177, 30935, 17, 49, 1813, 282, 2452, 7571, 432, 1702, 4325, 14982, 322, 8034, 16, 515, 9770, 2241, 322, 33201, 2678, 17696, 29635, 11666, 18, 23656, 1902, 33544, 289, 30705, 71, 1950, 17245, 360, 15841, 18, 48646, 349, 13965, 42194, 9601, 282, 6982, 1045, 18, 3529, 1702, 4325, 40577, 1802, 674, 20469, 10710, 16, 715, 9845, 1753, 1201, 25480, 18, 289, 30935, 75, 11190, 16, 367, 1038, 7824, 3050, 46010, 24099, 20441, 16199, 16, 7824, 2837, 25961, 33166, 5855, 15137, 16, 7824, 3050, 20512, 10913, 46010, 8699, 10283, 432, 16199, 289, 7824, 3050, 46010, 1841, 6339, 30359, 282, 1551, 309, 1902, 33544, 16, 30705, 71, 1950, 289, 10902, 17, 599, 2952, 3056, 282, 5545, 416, 1551, 6835, 17, 29596, 18, 17479, 275, 1947, 34856, 1078, 4764, 282, 19456, 8191, 13098, 8424, 16, 1586, 43500, 484, 349, 8225, 33410, 289, 744, 14009, 1385, 14952, 371, 27926, 7438, 289, 5117, 18, 6158, 1943, 685, 13079, 2886, 282, 11130, 4018, 779, 16, 515, 1963, 5658, 329, 22860, 13013, 282, 5072, 48236, 547, 4666, 18, 1902, 33544, 289, 30705, 71, 1950, 23867, 36089, 1702, 4325, 426, 2381, 4843, 27, 16, 22, 5096, 16, 374, 2438, 47377, 282, 3182, 2145, 12806, 2206, 349, 1197, 4797, 281, 3528, 16, 6524, 9188, 282, 5072, 48236, 547, 4666, 18, 2263, 516, 6335, 7512, 5383, 4318, 1902, 33544, 510, 4843, 24, 16, 24, 5096, 18, 30705, 71, 1950, 29872, 332, 4843, 27, 7181, 3763, 18, 3739, 4843, 28, 2479, 3763, 1702, 4325, 426, 2381, 46469, 10902, 17, 599, 2952, 3056, 14952, 473, 46, 18, 52, 18, 18018, 5253, 2487, 5206, 16, 21911, 593, 17688, 1624, 45447, 1095, 11971, 16, 1234, 18208, 1149, 6855, 83, 289, 2393, 814, 2949, 924, 16, 282, 4301, 11418, 8594, 6343, 2926, 16435, 887, 309, 7109, 4776, 25601, 4162, 8424, 519, 2239, 16, 21, 7418, 374, 19344, 373, 5397, 2509, 4601, 2078, 26417, 4843, 21, 16, 4691, 5096, 18, 4756, 1702, 4325, 40577, 2125, 898, 6524, 9654, 491, 9, 281, 5690, 13913, 18, 439, 281, 3734, 779, 24519, 3320, 8070, 40825, 870, 11608, 349, 2948, 17605, 16, 961, 14687, 38035, 1197, 2389, 18, 5333, 2175, 21053, 6696, 15409, 1519, 8138, 3836, 371, 27926, 7438, 289, 5117, 3443, 2497, 670, 8822, 16, 2671, 11328, 47626, 1702, 4325, 426, 2661, 18, 7249, 309, 16987, 4162, 23371, 16, 3333, 3938, 25725, 5324, 15681, 30038, 1086, 3003, 5129, 16, 2897, 6611, 16, 374, 11617, 28029, 16148, 324, 541, 19040, 48770, 18, 478, 8706, 1186, 3419, 290, 49189, 282, 43477, 4662, 910, 510, 33420, 4419, 4770, 13699, 680, 15137 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23619, 289, 282, 23567, 6233, 2776, 429, 328, 6599, 718, 3700, 16, 988, 5931, 1176, 411, 17627, 4486, 35694, 10347, 20076, 512, 18, 985, 3110, 2832, 84, 18, 1572, 16, 1122, 5658, 387, 1282, 3493, 478, 554, 292, 36997, 14064, 289, 334, 15541, 470, 371, 3599, 9898, 432, 1333, 18, 31995, 659, 3893, 16, 374, 309, 2928, 3717, 538, 1326, 1616, 16, 12599, 281, 1754, 2125, 4292, 12171, 282, 2928, 1449, 26413, 289, 9339, 451, 36956, 18, 985, 3110, 7897, 10195, 16, 18626, 3171, 44209, 1947, 282, 3622, 4330, 289, 327, 300, 3462, 15076, 334, 9399, 395, 16, 1772, 5740, 41356, 16, 9737, 312, 1166, 3353, 4334, 16, 25409, 20428, 289, 24581, 329, 19178, 1333, 14086, 8475, 1046, 507, 17, 46570, 1731, 16, 20936, 2989, 282, 25839, 18, 478, 822, 414, 13619, 41133, 322, 4902, 16064, 702, 281, 4413, 289, 322, 21025, 18621, 16, 1030, 16, 481, 16975, 3084, 16, 510, 10662, 7897, 18, 510, 999, 20404, 539, 9704, 48318, 16, 374, 289, 5698, 42049, 17209, 1833, 35471, 16, 289, 9539, 5828, 3788, 289, 4155, 21691, 861, 7106, 16, 282, 3765, 281, 4518, 309, 2555, 3802, 9208, 6814, 17329, 6431, 20908, 282, 15347, 1268, 1148, 334, 7546, 42782, 1268, 1148, 8231, 1175, 334, 608, 12234, 2818, 32379, 7151, 49645, 18, 985, 5273, 22204, 16, 6774, 5475, 745, 25732, 294, 1190, 3703, 17, 34600, 302, 2375, 19639, 2825, 281, 34293, 16, 40198, 8761, 874, 289, 282, 6031, 22424, 3637, 9016, 18, 22983, 512, 16, 20076, 512, 289, 629, 620, 15512, 47939, 3637, 722, 478, 343, 2085, 47079, 16, 3891, 4933, 910, 5130, 282, 3286, 6585, 302, 2375, 19639, 2203, 16, 371, 803, 30534, 11730, 282, 478, 26666, 2209, 289, 3986, 1790, 843, 2209, 5492, 861, 478, 8244, 1827, 6355, 7175, 11261, 16, 9208, 1827, 6355, 16, 1055, 1176, 47939, 1475, 16, 481, 28706, 281, 3405, 30, 5041, 519, 2239, 30, 3161, 910, 510, 3014, 411, 33014, 18, 2790, 30485, 448, 7005, 33104, 23481, 320, 345, 936, 23051, 4005, 3595, 19082, 21303, 309, 1560, 302, 2375, 19639, 2203, 18, 3791, 898, 23076, 3808, 27233, 2664, 629, 620, 37115, 18, 4756, 16220, 30650, 5063, 455, 16, 374, 567, 808, 22424, 1237, 6556, 21166, 2497, 8926, 282, 21140, 16, 367, 322, 282, 23567, 18, 640, 5421, 1119, 1011, 32413, 475, 9208, 5164, 898, 15492, 1007, 411, 8231, 18, 46899, 11285, 5292, 18562, 1272, 36156, 1101, 30, 334, 34582, 478, 732, 885, 8610, 1700, 470, 289, 478, 34865, 696, 3595, 3193, 43547, 9766, 861, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1133, 3938, 25725, 5324, 1858, 13731, 360, 1902, 33544, 289, 30705, 71, 1950, 18412, 42194, 349, 2273, 8665, 553, 371, 18202, 7438, 18, 7743, 726, 19740, 519, 5129, 18, 459, 481, 322, 2615, 1263, 30, 282, 6104, 1045, 1963, 329, 2111, 326, 13013, 282, 5072, 48236, 547, 4666, 16, 1902, 33544, 16, 30705, 71, 1950, 289, 1817, 6802, 6524, 3467, 1702, 4325, 426, 2381, 1033, 4843, 27, 5096, 18, 31224, 30, 684, 1005, 17241, 16775, 1702, 4325, 40577, 16, 6895, 860, 17093, 1564, 25480, 289, 786, 6855, 980, 12772, 84, 16, 3424, 30359, 1263, 1279, 8594, 5281, 1440, 1902, 33544, 289, 30705, 71, 1950, 18, 365, 6104, 1045, 8594, 6343, 2926, 726, 6524, 3467, 1033, 4843, 27, 5096, 282, 3106, 23371, 349, 281, 3528, 371, 47425, 34530, 349, 16495, 33410, 14952, 18, 740, 2204, 1250, 14888, 19456, 2253, 3191, 281, 2273, 8665, 1437, 16, 46251, 282, 1263, 263, 18, 43289, 355, 40577, 13731, 13342, 39288, 16, 6524, 18525, 12260, 4419, 16, 367, 1038, 19760, 4162, 8424, 349, 2273, 8665, 553, 16, 5301, 10027, 21408, 18, 7743, 840, 13880, 5545, 416, 1551, 8882, 292, 47646, 798, 18, 6831, 9235, 2279, 1038, 23054, 1442, 39, 26950, 3810, 16, 1802, 20514, 80, 1564, 12772, 84, 289, 786, 46, 60, 769, 1410, 18, 18197, 23763, 25254, 10177, 30935, 17, 49, 1813, 282, 2452, 7571, 432, 1702, 4325, 14982, 322, 8034, 16, 515, 9770, 2241, 322, 33201, 2678, 17696, 29635, 11666, 18, 23656, 1902, 33544, 289, 30705, 71, 1950, 17245, 360, 15841, 18, 48646, 349, 13965, 42194, 9601, 282, 6982, 1045, 18, 3529, 1702, 4325, 40577, 1802, 674, 20469, 10710, 16, 715, 9845, 1753, 1201, 25480, 18, 289, 30935, 75, 11190, 16, 367, 1038, 7824, 3050, 46010, 24099, 20441, 16199, 16, 7824, 2837, 25961, 33166, 5855, 15137, 16, 7824, 3050, 20512, 10913, 46010, 8699, 10283, 432, 16199, 289, 7824, 3050, 46010, 1841, 6339, 30359, 282, 1551, 309, 1902, 33544, 16, 30705, 71, 1950, 289, 10902, 17, 599, 2952, 3056, 282, 5545, 416, 1551, 6835, 17, 29596, 18, 17479, 275, 1947, 34856, 1078, 4764, 282, 19456, 8191, 13098, 8424, 16, 1586, 43500, 484, 349, 8225, 33410, 289, 744, 14009, 1385, 14952, 371, 27926, 7438, 289, 5117, 18, 6158, 1943, 685, 13079, 2886, 282, 11130, 4018, 779, 16, 515, 1963, 5658, 329, 22860, 13013, 282, 5072, 48236, 547, 4666, 18, 1902, 33544, 289, 30705, 71, 1950, 23867, 36089, 1702, 4325, 426, 2381, 4843, 27, 16, 22, 5096, 16, 374, 2438, 47377, 282, 3182, 2145, 12806, 2206, 349, 1197, 4797, 281, 3528, 16, 6524, 9188, 282, 5072, 48236, 547, 4666, 18, 2263, 516, 6335, 7512, 5383, 4318, 1902, 33544, 510, 4843, 24, 16, 24, 5096, 18, 30705, 71, 1950, 29872, 332, 4843, 27, 7181, 3763, 18, 3739, 4843, 28, 2479, 3763, 1702, 4325, 426, 2381, 46469, 10902, 17, 599, 2952, 3056, 14952, 473, 46, 18, 52, 18, 18018, 5253, 2487, 5206, 16, 21911, 593, 17688, 1624, 45447, 1095, 11971, 16, 1234, 18208, 1149, 6855, 83, 289, 2393, 814, 2949, 924, 16, 282, 4301, 11418, 8594, 6343, 2926, 16435, 887, 309, 7109, 4776, 25601, 4162, 8424, 519, 2239, 16, 21, 7418, 374, 19344, 373, 5397, 2509, 4601, 2078, 26417, 4843, 21, 16, 4691, 5096, 18, 4756, 1702, 4325, 40577, 2125, 898, 6524, 9654, 491, 9, 281, 5690, 13913, 18, 439, 281, 3734, 779, 24519, 3320, 8070, 40825, 870, 11608, 349, 2948, 17605, 16, 961, 14687, 38035, 1197, 2389, 18, 5333, 2175, 21053, 6696, 15409, 1519, 8138, 3836, 371, 27926, 7438, 289, 5117, 3443, 2497, 670, 8822, 16, 2671, 11328, 47626, 1702, 4325, 426, 2661, 18, 7249, 309, 16987, 4162, 23371, 16, 3333, 3938, 25725, 5324, 15681, 30038, 1086, 3003, 5129, 16, 2897, 6611, 16, 374, 11617, 28029, 16148, 324, 541, 19040, 48770, 18, 478, 8706, 1186, 3419, 290, 49189, 282, 43477, 4662, 910, 510, 33420, 4419, 4770, 13699, 680, 15137 ]
[ 42770, 473, 37, 20989, 13, 34365, 21933, 2976, 18, 824, 3761, 20280, 22941, 44446, 11270, 2145, 16, 2552, 1205, 24519, 3320, 360, 28777, 467, 349, 2273, 8665, 553, 334, 1197, 2675, 2364, 4843, 3161, 5096, 18, 14069, 1453, 3674, 28496, 802, 1251, 43991, 17, 599, 2952, 9534, 289, 2204, 8943, 21470, 25708, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 15770, 20635, 4110, 18455, 931, 20044, 951, 657, 16, 4813, 309, 502, 16, 374, 492, 10681, 2077, 11710, 25198, 289, 21766, 3064, 31676, 334, 4478, 1433, 37299, 2891, 18, 832, 20846, 16, 374, 1363, 441, 1232, 26579, 3118, 10419, 360, 34107, 16711, 6271, 411, 17, 431, 12549, 1378, 7080, 281, 2145, 18, 31224, 30, 4408, 8903, 2232, 4461, 20044, 951, 657, 906, 20635, 8087, 282, 25198, 16, 3110, 48240, 16303, 18, 889, 685, 4722, 4244, 451, 18455, 931, 16, 43248, 309, 2923, 11612, 16, 1011, 924, 16, 428, 282, 10982, 14084, 8362, 282, 4479, 1045, 411, 17, 431, 11220, 281, 23536, 18, 5333, 2175, 16, 20044, 4362, 764, 2059, 13198, 1110, 635, 513, 5885, 16, 1754, 30155, 3772, 309, 33863, 8275, 411, 17, 431, 45464, 394, 282, 4008, 510, 311, 18, 268, 18, 478, 5162, 2035, 9968, 320, 1102, 264, 861, 365, 4722, 445, 11176, 4793, 12435, 3873, 8053, 282, 7847, 1045, 44344, 557, 1265, 12776, 16767, 9447, 11396, 50245, 16, 8380, 1352, 10249, 18, 14078, 32935, 10177, 20635, 8087, 282, 15770, 309, 7266, 7426, 5544, 986, 18, 478, 4348, 14790, 339, 16, 374, 951, 657, 20635, 1390, 282, 15770, 18, 35937, 3413, 8659, 23445, 12182, 910, 510, 2815, 5854, 20044, 18, 6592, 35847, 16, 334, 13976, 309, 31776, 11826, 779, 309, 12237, 951, 657, 6898, 1223, 491, 9, 360, 1209, 33439, 35539, 29802, 2954, 18, 1787, 24507, 16, 329, 15465, 26903, 951, 8395, 89, 1177, 15497, 3077, 5432, 5953, 5999, 3557, 322, 2619, 16, 951, 657, 685, 12181, 18455, 22859, 16, 1372, 2854, 309, 18316, 6718, 18, 8071, 15479, 16, 17921, 281, 21285, 16, 1038, 23051, 1149, 56, 16, 374, 3772, 294, 951, 657, 685, 26089, 334, 15166, 29802, 11944, 18, 967, 803, 9402, 1623, 8881, 478, 268, 944, 297, 2009, 35196, 470, 309, 3614, 16, 374, 1623, 5163, 11302, 34156, 541, 9996, 4767, 7796, 6271, 282, 25198, 18, 2387, 265, 589, 3328, 282, 1335, 3182, 1623, 687, 2361, 510, 20044, 309, 7266, 3725, 986, 10681, 2077, 37186, 11710, 289, 26389, 21766, 3064, 1783, 6534, 334, 35197, 11944, 16, 374, 19344, 2241, 504, 15044, 18696, 266, 507, 13862, 1634, 24411, 10030, 309, 5814, 2553, 18, 2949, 924, 16, 4696, 360, 20044, 16, 6895, 2204, 12832, 6138, 13740, 16, 39310, 8425, 282, 15770, 18, 824, 28629, 3873, 8053, 16, 20044, 935, 4014, 455, 28792, 16154, 13740, 541, 32137, 5439, 18, 365, 10841, 26155, 779, 3785, 11802, 1595, 15832, 778, 5482, 282, 18816, 890, 263, 18, 3557, 322, 2619, 16, 481, 322, 24065, 20044, 8969, 1595, 18455, 931, 18, 28616, 25156, 16, 374, 9402, 5577, 416, 19899, 16849, 895, 953, 13029, 1979, 7080, 1251, 2145, 289, 38979, 16, 367, 1038, 3956, 12866, 5397, 2232, 6888, 18, 478, 677, 502, 808, 428, 15896, 1251, 5441, 761, 289, 38979, 13981, 16, 9996, 4767, 13859, 37888, 18302, 27383, 334, 28629, 4000, 46980, 16, 374, 25198, 895, 8599, 10419, 360, 20348, 7796, 12525, 309, 5814, 910, 510, 2815, 6548, 20307, 266, 48953, 2241, 951, 18040, 20761, 37979, 1310, 10082, 24522, 18, 824, 505, 3163, 16, 5439, 2044, 6993, 7182, 3419, 309, 852, 530, 668, 1011, 924, 16, 428, 4732, 4893, 30629, 9654, 32025, 382, 18, 365, 3998, 3612, 16642, 779, 2438, 3665, 16, 374, 282, 23990, 35819, 21038, 35212, 5998, 37888, 4568, 6271, 11612, 282, 4008, 18, 985, 15833, 13156, 16, 282, 4675, 808, 21708, 39762, 2766, 16, 6342, 1815, 13756, 541, 1110, 6271, 282, 37888, 4669, 6491, 16, 961, 4247, 6843, 294, 25567, 11612, 289, 15373, 31179, 282, 2145, 510, 481, 11742, 411, 37906, 23277, 45930, 18, 365, 1423, 3678, 16, 4419, 16, 33863, 1551, 5962, 3003, 290, 14640, 582, 10241, 282, 25198, 10096, 13542, 41382, 23819, 13198, 2241, 16422, 18, 9639, 7544, 6341, 5613, 14968, 281, 2887, 2742, 23616, 2793, 16, 289, 3915, 975, 1055, 322, 4750, 18, 365, 11023, 6705, 779, 334, 38601, 282, 27063, 1217, 2376, 616, 933, 13951, 309, 2923, 25359, 906, 10570, 324, 31333, 6187, 37940, 4020, 73, 77, 289, 6304, 47992, 2241, 34116, 9131, 41142, 6194, 18, 439, 6772, 685, 42549, 334, 35197, 13198, 1963, 18, 640, 32995, 2083, 3708, 20427, 5129, 289, 7514, 416, 14617, 488, 553, 282, 2145, 424, 15028, 680, 290, 6327, 4695, 18, 1253, 13494, 29888, 36639, 289, 29048, 19162, 41924, 778, 1808, 18, 4756, 4770, 2145, 36176, 28565, 2815, 290, 16115, 478, 275, 482, 17789, 470, 282, 1743, 34116, 9131, 41142, 6194, 16, 827, 481, 24859, 4356, 12903, 18, 28462, 19713, 2145, 282, 15770, 10806, 34605, 948, 4848, 282, 7337, 29861, 11539, 16, 374, 9868, 49610, 31658, 2886, 281, 15356, 9526, 3623, 687, 11524, 10329, 4126, 14617, 488, 553, 18, 478, 26181, 17403, 28565, 6455, 26581, 14617, 488, 1066, 34116, 9131, 41142, 6194, 282, 7544, 309, 478, 24119, 2284, 9704, 470, 11612, 18, 889, 6174, 16483, 910, 510, 2815, 34605, 948, 18, 824, 505, 3163, 16, 785, 22327, 9770, 33407, 1211, 1617, 3350, 44846, 2616, 17, 3697, 1101, 16, 502, 2650, 1472, 15156, 12356, 11035, 541, 10180, 22879, 18, 34605, 948, 5273, 16, 374, 28565, 36887, 9622, 9153, 2712, 1743, 34116, 16, 785, 282, 11129, 4498, 3419, 290, 27063, 12670, 282, 6491, 23616, 3416, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11877, 282, 4301, 32671, 7561, 28604, 478, 12003, 394, 267, 470, 11834, 478, 13467, 861, 3863, 10133, 1943, 1852, 28910, 536, 541, 32715, 2822, 282, 439, 38496, 411, 478, 730, 5944, 2266, 23682, 470, 28253, 8860, 2334, 4048, 13843, 486, 18, 365, 10882, 478, 12003, 394, 267, 470, 10211, 15885, 764, 1949, 41914, 309, 808, 38484, 29873, 651, 11719, 1236, 14669, 401, 289, 17514, 768, 383, 5687, 18, 31224, 30, 3693, 808, 10785, 28604, 656, 726, 17573, 294, 22647, 10133, 395, 282, 4301, 7561, 1175, 18, 3557, 322, 2619, 16, 478, 12003, 394, 267, 470, 519, 4319, 1326, 3073, 2485, 2306, 289, 20491, 12096, 18, 17065, 3576, 2856, 3921, 954, 289, 46945, 30886, 4966, 18, 33739, 5583, 8802, 9770, 478, 12003, 394, 507, 470, 3716, 10211, 42608, 1145, 857, 5874, 309, 22189, 309, 20017, 12525, 7342, 16899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42770, 473, 37, 20989, 13, 34365, 21933, 2976, 18, 824, 3761, 20280, 22941, 44446, 11270, 2145, 16, 2552, 1205, 24519, 3320, 360, 28777, 467, 349, 2273, 8665, 553, 334, 1197, 2675, 2364, 4843, 3161, 5096, 18, 14069, 1453, 3674, 28496, 802, 1251, 43991, 17, 599, 2952, 9534, 289, 2204, 8943, 21470, 25708, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 15770, 20635, 4110, 18455, 931, 20044, 951, 657, 16, 4813, 309, 502, 16, 374, 492, 10681, 2077, 11710, 25198, 289, 21766, 3064, 31676, 334, 4478, 1433, 37299, 2891, 18, 832, 20846, 16, 374, 1363, 441, 1232, 26579, 3118, 10419, 360, 34107, 16711, 6271, 411, 17, 431, 12549, 1378, 7080, 281, 2145, 18, 31224, 30, 4408, 8903, 2232, 4461, 20044, 951, 657, 906, 20635, 8087, 282, 25198, 16, 3110, 48240, 16303, 18, 889, 685, 4722, 4244, 451, 18455, 931, 16, 43248, 309, 2923, 11612, 16, 1011, 924, 16, 428, 282, 10982, 14084, 8362, 282, 4479, 1045, 411, 17, 431, 11220, 281, 23536, 18, 5333, 2175, 16, 20044, 4362, 764, 2059, 13198, 1110, 635, 513, 5885, 16, 1754, 30155, 3772, 309, 33863, 8275, 411, 17, 431, 45464, 394, 282, 4008, 510, 311, 18, 268, 18, 478, 5162, 2035, 9968, 320, 1102, 264, 861, 365, 4722, 445, 11176, 4793, 12435, 3873, 8053, 282, 7847, 1045, 44344, 557, 1265, 12776, 16767, 9447, 11396, 50245, 16, 8380, 1352, 10249, 18, 14078, 32935, 10177, 20635, 8087, 282, 15770, 309, 7266, 7426, 5544, 986, 18, 478, 4348, 14790, 339, 16, 374, 951, 657, 20635, 1390, 282, 15770, 18, 35937, 3413, 8659, 23445, 12182, 910, 510, 2815, 5854, 20044, 18, 6592, 35847, 16, 334, 13976, 309, 31776, 11826, 779, 309, 12237, 951, 657, 6898, 1223, 491, 9, 360, 1209, 33439, 35539, 29802, 2954, 18, 1787, 24507, 16, 329, 15465, 26903, 951, 8395, 89, 1177, 15497, 3077, 5432, 5953, 5999, 3557, 322, 2619, 16, 951, 657, 685, 12181, 18455, 22859, 16, 1372, 2854, 309, 18316, 6718, 18, 8071, 15479, 16, 17921, 281, 21285, 16, 1038, 23051, 1149, 56, 16, 374, 3772, 294, 951, 657, 685, 26089, 334, 15166, 29802, 11944, 18, 967, 803, 9402, 1623, 8881, 478, 268, 944, 297, 2009, 35196, 470, 309, 3614, 16, 374, 1623, 5163, 11302, 34156, 541, 9996, 4767, 7796, 6271, 282, 25198, 18, 2387, 265, 589, 3328, 282, 1335, 3182, 1623, 687, 2361, 510, 20044, 309, 7266, 3725, 986, 10681, 2077, 37186, 11710, 289, 26389, 21766, 3064, 1783, 6534, 334, 35197, 11944, 16, 374, 19344, 2241, 504, 15044, 18696, 266, 507, 13862, 1634, 24411, 10030, 309, 5814, 2553, 18, 2949, 924, 16, 4696, 360, 20044, 16, 6895, 2204, 12832, 6138, 13740, 16, 39310, 8425, 282, 15770, 18, 824, 28629, 3873, 8053, 16, 20044, 935, 4014, 455, 28792, 16154, 13740, 541, 32137, 5439, 18, 365, 10841, 26155, 779, 3785, 11802, 1595, 15832, 778, 5482, 282, 18816, 890, 263, 18, 3557, 322, 2619, 16, 481, 322, 24065, 20044, 8969, 1595, 18455, 931, 18, 28616, 25156, 16, 374, 9402, 5577, 416, 19899, 16849, 895, 953, 13029, 1979, 7080, 1251, 2145, 289, 38979, 16, 367, 1038, 3956, 12866, 5397, 2232, 6888, 18, 478, 677, 502, 808, 428, 15896, 1251, 5441, 761, 289, 38979, 13981, 16, 9996, 4767, 13859, 37888, 18302, 27383, 334, 28629, 4000, 46980, 16, 374, 25198, 895, 8599, 10419, 360, 20348, 7796, 12525, 309, 5814, 910, 510, 2815, 6548, 20307, 266, 48953, 2241, 951, 18040, 20761, 37979, 1310, 10082, 24522, 18, 824, 505, 3163, 16, 5439, 2044, 6993, 7182, 3419, 309, 852, 530, 668, 1011, 924, 16, 428, 4732, 4893, 30629, 9654, 32025, 382, 18, 365, 3998, 3612, 16642, 779, 2438, 3665, 16, 374, 282, 23990, 35819, 21038, 35212, 5998, 37888, 4568, 6271, 11612, 282, 4008, 18, 985, 15833, 13156, 16, 282, 4675, 808, 21708, 39762, 2766, 16, 6342, 1815, 13756, 541, 1110, 6271, 282, 37888, 4669, 6491, 16, 961, 4247, 6843, 294, 25567, 11612, 289, 15373, 31179, 282, 2145, 510, 481, 11742, 411, 37906, 23277, 45930, 18, 365, 1423, 3678, 16, 4419, 16, 33863, 1551, 5962, 3003, 290, 14640, 582, 10241, 282, 25198, 10096, 13542, 41382, 23819, 13198, 2241, 16422, 18, 9639, 7544, 6341, 5613, 14968, 281, 2887, 2742, 23616, 2793, 16, 289, 3915, 975, 1055, 322, 4750, 18, 365, 11023, 6705, 779, 334, 38601, 282, 27063, 1217, 2376, 616, 933, 13951, 309, 2923, 25359, 906, 10570, 324, 31333, 6187, 37940, 4020, 73, 77, 289, 6304, 47992, 2241, 34116, 9131, 41142, 6194, 18, 439, 6772, 685, 42549, 334, 35197, 13198, 1963, 18, 640, 32995, 2083, 3708, 20427, 5129, 289, 7514, 416, 14617, 488, 553, 282, 2145, 424, 15028, 680, 290, 6327, 4695, 18, 1253, 13494, 29888, 36639, 289, 29048, 19162, 41924, 778, 1808, 18, 4756, 4770, 2145, 36176, 28565, 2815, 290, 16115, 478, 275, 482, 17789, 470, 282, 1743, 34116, 9131, 41142, 6194, 16, 827, 481, 24859, 4356, 12903, 18, 28462, 19713, 2145, 282, 15770, 10806, 34605, 948, 4848, 282, 7337, 29861, 11539, 16, 374, 9868, 49610, 31658, 2886, 281, 15356, 9526, 3623, 687, 11524, 10329, 4126, 14617, 488, 553, 18, 478, 26181, 17403, 28565, 6455, 26581, 14617, 488, 1066, 34116, 9131, 41142, 6194, 282, 7544, 309, 478, 24119, 2284, 9704, 470, 11612, 18, 889, 6174, 16483, 910, 510, 2815, 34605, 948, 18, 824, 505, 3163, 16, 785, 22327, 9770, 33407, 1211, 1617, 3350, 44846, 2616, 17, 3697, 1101, 16, 502, 2650, 1472, 15156, 12356, 11035, 541, 10180, 22879, 18, 34605, 948, 5273, 16, 374, 28565, 36887, 9622, 9153, 2712, 1743, 34116, 16, 785, 282, 11129, 4498, 3419, 290, 27063, 12670, 282, 6491, 23616, 3416, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 11877, 282, 4301, 32671, 7561, 28604, 478, 12003, 394, 267, 470, 11834, 478, 13467, 861, 3863, 10133, 1943, 1852, 28910, 536, 541, 32715, 2822, 282, 439, 38496, 411, 478, 730, 5944, 2266, 23682, 470, 28253, 8860, 2334, 4048, 13843, 486, 18, 365, 10882, 478, 12003, 394, 267, 470, 10211, 15885, 764, 1949, 41914, 309, 808, 38484, 29873, 651, 11719, 1236, 14669, 401, 289, 17514, 768, 383, 5687, 18, 31224, 30, 3693, 808, 10785, 28604, 656, 726, 17573, 294, 22647, 10133, 395, 282, 4301, 7561, 1175, 18, 3557, 322, 2619, 16, 478, 12003, 394, 267, 470, 519, 4319, 1326, 3073, 2485, 2306, 289, 20491, 12096, 18, 17065, 3576, 2856, 3921, 954, 289, 46945, 30886, 4966, 18, 33739, 5583, 8802, 9770, 478, 12003, 394, 507, 470, 3716, 10211, 42608, 1145, 857, 5874, 309, 22189, 309, 20017, 12525, 7342, 16899 ]
[ 18, 478, 1140, 813, 43373, 783, 906, 2361, 324, 1599, 8518, 16, 510, 10662, 6548, 9680, 4137, 6315, 454, 609, 18, 510, 7594, 2125, 3670, 16, 374, 656, 24208, 687, 1110, 12032, 16, 961, 1698, 6281, 349, 18823, 16899, 18, 2876, 656, 26096, 1209, 18, 48878, 16, 374, 1882, 4385, 639, 11028, 18, 1665, 16, 895, 953, 16, 988, 17, 299, 687, 15585, 11034, 18, 504, 11164, 884, 16, 3057, 16, 942, 639, 23887, 1558, 18, 4185, 322, 26554, 282, 43894, 1876, 328, 18, 439, 453, 656, 1209, 26096, 861, 33276, 549, 5517, 13132, 281, 1307, 1353, 3663, 18718, 547, 378, 3817, 298, 3259, 18, 21683, 505, 14900, 478, 13467, 470, 1624, 515, 764, 519, 2742, 8900, 492, 14084, 7522, 16, 32193, 428, 445, 282, 478, 12003, 394, 267, 861, 31325, 6187, 10078, 17, 44606, 7550, 41821, 332, 5881, 4725, 16, 374, 478, 13467, 470, 1139, 17, 47232, 5678, 9729, 367, 419, 3141, 4287, 16, 4155, 10551, 19574, 7342, 16899, 18, 3557, 322, 2619, 16, 5199, 4966, 17728, 9839, 14210, 778, 27366, 18, 22000, 8900, 541, 478, 12003, 394, 507, 470, 25826, 322, 453, 32000, 18, 2112, 14248, 360, 18164, 478, 13781, 470, 473, 21, 30, 25, 13, 6315, 454, 609, 15323, 14403, 16, 374, 8616, 14929, 271, 322, 492, 16, 289, 8341, 349, 4617, 18703, 1038, 8445, 322, 309, 1169, 18, 985, 5429, 16, 537, 294, 5414, 46172, 1574, 3149, 322, 8643, 16, 515, 309, 2992, 3010, 475, 25197, 1133, 23084, 46971, 38484, 487, 18, 1303, 17, 2767, 329, 478, 12003, 394, 507, 470, 8849, 17446, 16, 753, 25669, 10230, 349, 11624, 13496, 32430, 761, 18, 16102, 1927, 462, 6123, 1559, 6363, 1236, 14669, 291, 16, 1029, 29764, 478, 12003, 394, 1508, 470, 334, 1514, 41019, 651, 492, 289, 25197, 16, 289, 531, 10888, 321, 16, 581, 289, 1139, 1135, 26713, 18, 41162, 16, 374, 367, 419, 3141, 873, 16, 428, 971, 14403, 583, 1236, 14669, 291, 16, 47359, 8343, 17227, 282, 1307, 1353, 476, 1143, 7842, 18, 365, 44743, 16632, 635, 1559, 13328, 778, 25236, 7947, 768, 383, 1496, 411, 478, 15995, 1923, 861, 4185, 37350, 505, 16, 1513, 639, 45640, 28540, 6508, 4846, 2768, 18, 7743, 282, 970, 16, 374, 3018, 309, 768, 383, 5687, 35248, 35722, 478, 13467, 272, 910, 1029, 15130, 505, 282, 33762, 36493, 3332, 22527, 28604, 5021, 779, 18, 19402, 862, 481, 9600, 541, 37388, 1645, 16, 1548, 374, 15976, 16419, 309, 11840, 434, 16452, 265, 419, 10078, 17, 46796, 7006, 520, 3005, 16, 935, 282, 1750, 38484, 29873, 18, 768, 383, 22875, 3813, 282, 28604, 16, 334, 505, 575, 3163, 16, 40308, 2848, 520, 877, 282, 2968, 309, 5734, 2083, 16, 515, 478, 13467, 470, 505, 1139, 322, 30009, 18, 5227, 289, 39834, 305, 811, 478, 12003, 394, 267, 910, 387, 503, 45808, 588, 546, 347, 309, 2992, 45147, 13111, 3332, 22527, 18, 18487, 1737, 38484, 487, 539, 1421, 262, 25236, 478, 730, 5944, 2266, 23682, 470, 8860, 363, 4048, 13843, 18, 365, 6104, 11258, 492, 1559, 2059, 411, 22912, 10279, 282, 25152, 4966, 16, 7609, 475, 23902, 7977, 32671, 7561, 16, 367, 567, 9155, 22979, 17, 21131, 1279, 478, 11008, 5101, 5097, 910, 1029, 2598, 7524, 687, 282, 15301, 290, 551, 6189, 482, 16, 505, 49312, 808, 30307, 857, 349, 17736, 7130, 5, 768, 383, 1496, 289, 1236, 14669, 291, 726, 10258, 334, 2852, 16287, 349, 478, 12003, 394, 267, 910, 282, 502, 808, 428, 541, 4048, 13843, 9671, 2636, 4765, 4040, 28910, 416, 282, 5492, 478, 12003, 394, 507, 861, 22263, 6147, 14403, 16, 374, 3957, 4976, 15006, 25467, 16, 961, 3478, 22074, 289, 12606, 478, 12003, 394, 267, 861, 2949, 924, 16, 492, 23081, 16, 374, 27566, 35192, 334, 39708, 825, 22193, 266, 1147, 40730, 16, 289, 15419, 18787, 5040, 4966, 18, 3791, 492, 14403, 16, 374, 9181, 322, 5195, 16, 988, 3164, 15842, 18, 1178, 38484, 487, 34386, 1830, 373, 764, 4038, 4776, 16, 975, 10412, 34468, 281, 13225, 1116, 14978, 3262, 432, 43363, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 528, 508, 280, 337, 431, 1241, 9861, 337, 431, 4176, 478, 26732, 375, 470, 360, 14248, 282, 8267, 281, 478, 38238, 304, 861, 5674, 14508, 3216, 3424, 22045, 4024, 478, 45380, 470, 289, 322, 10587, 39164, 360, 1949, 48872, 23904, 18, 31224, 30, 471, 26732, 375, 470, 289, 478, 38238, 470, 18397, 10258, 1617, 4101, 26070, 16, 1548, 942, 639, 16419, 309, 30747, 12544, 282, 20035, 16, 867, 1033, 374, 282, 7426, 1613, 2244, 334, 17, 11863, 20063, 9806, 4362, 475, 3440, 18, 5674, 35036, 16528, 12982, 326, 567, 7422, 44056, 7977, 281, 478, 36796, 910, 785, 45300, 326, 4410, 289, 30113, 274, 9406, 16, 515, 475, 575, 2702, 5564, 434, 21755, 16, 33701, 371, 5495, 8438, 1110, 16, 1085, 334, 32883, 5273, 478, 26732, 375, 470, 3196, 27299, 15825, 18, 11603, 264, 5534, 32462, 329, 6001, 26604, 4671, 700, 3583, 7696, 16, 2107, 1247, 16, 374, 3964, 322, 1494, 10870, 879, 9680, 5073, 22829, 309, 17285, 18, 385, 478, 36796, 470, 2191, 363, 4287, 1329, 322, 8477, 16, 428, 309, 14014, 1051, 1212, 2303, 913, 29086, 16, 289, 19846, 10660, 18, 403, 15695, 16, 2303, 356, 23187, 31819, 20035, 14751, 1807, 1371, 346, 263, 22565, 16, 367, 1696, 1336, 478, 26732, 375, 470, 9170, 6281, 289, 282, 2297, 1020, 643, 582, 18, 1787, 7561, 1175, 4577, 639, 322, 3818, 2903, 1757, 16, 2686, 20166, 505, 282, 37131, 962, 16180, 5538, 639, 373, 15955, 18, 996, 374, 29196, 322, 23077, 16, 4092, 659, 2191, 363, 4287, 6281, 1642, 18, 27025, 2230, 314, 287, 486, 8815, 40325, 5284, 2158, 30346, 329, 478, 28345, 470, 1624, 43009, 2702, 34593, 12544, 282, 25152, 16, 374, 2993, 639, 47338, 282, 20035, 18, 967, 803, 15365, 22009, 9680, 939, 26661, 309, 34565, 3588, 16, 2671, 10551, 8182, 2743, 1608, 1307, 1353, 2169, 651, 20502, 401, 289, 2227, 3158, 16, 961, 2125, 898, 13581, 4800, 286, 476, 18, 1735, 687, 282, 2456, 20330, 464, 7977, 282, 33044, 31277, 3895, 322, 17363, 478, 26732, 375, 11593, 472, 18920, 2245, 10669, 473, 14845, 604, 862, 16, 322, 749, 469, 1869, 13, 403, 1508, 1528, 289, 6435, 282, 8111, 16, 515, 40984, 1245, 16480, 21587, 1035, 378, 1123, 931, 4654, 18, 403, 15695, 16, 7265, 17771, 620, 282, 803, 8267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 478, 1140, 813, 43373, 783, 906, 2361, 324, 1599, 8518, 16, 510, 10662, 6548, 9680, 4137, 6315, 454, 609, 18, 510, 7594, 2125, 3670, 16, 374, 656, 24208, 687, 1110, 12032, 16, 961, 1698, 6281, 349, 18823, 16899, 18, 2876, 656, 26096, 1209, 18, 48878, 16, 374, 1882, 4385, 639, 11028, 18, 1665, 16, 895, 953, 16, 988, 17, 299, 687, 15585, 11034, 18, 504, 11164, 884, 16, 3057, 16, 942, 639, 23887, 1558, 18, 4185, 322, 26554, 282, 43894, 1876, 328, 18, 439, 453, 656, 1209, 26096, 861, 33276, 549, 5517, 13132, 281, 1307, 1353, 3663, 18718, 547, 378, 3817, 298, 3259, 18, 21683, 505, 14900, 478, 13467, 470, 1624, 515, 764, 519, 2742, 8900, 492, 14084, 7522, 16, 32193, 428, 445, 282, 478, 12003, 394, 267, 861, 31325, 6187, 10078, 17, 44606, 7550, 41821, 332, 5881, 4725, 16, 374, 478, 13467, 470, 1139, 17, 47232, 5678, 9729, 367, 419, 3141, 4287, 16, 4155, 10551, 19574, 7342, 16899, 18, 3557, 322, 2619, 16, 5199, 4966, 17728, 9839, 14210, 778, 27366, 18, 22000, 8900, 541, 478, 12003, 394, 507, 470, 25826, 322, 453, 32000, 18, 2112, 14248, 360, 18164, 478, 13781, 470, 473, 21, 30, 25, 13, 6315, 454, 609, 15323, 14403, 16, 374, 8616, 14929, 271, 322, 492, 16, 289, 8341, 349, 4617, 18703, 1038, 8445, 322, 309, 1169, 18, 985, 5429, 16, 537, 294, 5414, 46172, 1574, 3149, 322, 8643, 16, 515, 309, 2992, 3010, 475, 25197, 1133, 23084, 46971, 38484, 487, 18, 1303, 17, 2767, 329, 478, 12003, 394, 507, 470, 8849, 17446, 16, 753, 25669, 10230, 349, 11624, 13496, 32430, 761, 18, 16102, 1927, 462, 6123, 1559, 6363, 1236, 14669, 291, 16, 1029, 29764, 478, 12003, 394, 1508, 470, 334, 1514, 41019, 651, 492, 289, 25197, 16, 289, 531, 10888, 321, 16, 581, 289, 1139, 1135, 26713, 18, 41162, 16, 374, 367, 419, 3141, 873, 16, 428, 971, 14403, 583, 1236, 14669, 291, 16, 47359, 8343, 17227, 282, 1307, 1353, 476, 1143, 7842, 18, 365, 44743, 16632, 635, 1559, 13328, 778, 25236, 7947, 768, 383, 1496, 411, 478, 15995, 1923, 861, 4185, 37350, 505, 16, 1513, 639, 45640, 28540, 6508, 4846, 2768, 18, 7743, 282, 970, 16, 374, 3018, 309, 768, 383, 5687, 35248, 35722, 478, 13467, 272, 910, 1029, 15130, 505, 282, 33762, 36493, 3332, 22527, 28604, 5021, 779, 18, 19402, 862, 481, 9600, 541, 37388, 1645, 16, 1548, 374, 15976, 16419, 309, 11840, 434, 16452, 265, 419, 10078, 17, 46796, 7006, 520, 3005, 16, 935, 282, 1750, 38484, 29873, 18, 768, 383, 22875, 3813, 282, 28604, 16, 334, 505, 575, 3163, 16, 40308, 2848, 520, 877, 282, 2968, 309, 5734, 2083, 16, 515, 478, 13467, 470, 505, 1139, 322, 30009, 18, 5227, 289, 39834, 305, 811, 478, 12003, 394, 267, 910, 387, 503, 45808, 588, 546, 347, 309, 2992, 45147, 13111, 3332, 22527, 18, 18487, 1737, 38484, 487, 539, 1421, 262, 25236, 478, 730, 5944, 2266, 23682, 470, 8860, 363, 4048, 13843, 18, 365, 6104, 11258, 492, 1559, 2059, 411, 22912, 10279, 282, 25152, 4966, 16, 7609, 475, 23902, 7977, 32671, 7561, 16, 367, 567, 9155, 22979, 17, 21131, 1279, 478, 11008, 5101, 5097, 910, 1029, 2598, 7524, 687, 282, 15301, 290, 551, 6189, 482, 16, 505, 49312, 808, 30307, 857, 349, 17736, 7130, 5, 768, 383, 1496, 289, 1236, 14669, 291, 726, 10258, 334, 2852, 16287, 349, 478, 12003, 394, 267, 910, 282, 502, 808, 428, 541, 4048, 13843, 9671, 2636, 4765, 4040, 28910, 416, 282, 5492, 478, 12003, 394, 507, 861, 22263, 6147, 14403, 16, 374, 3957, 4976, 15006, 25467, 16, 961, 3478, 22074, 289, 12606, 478, 12003, 394, 267, 861, 2949, 924, 16, 492, 23081, 16, 374, 27566, 35192, 334, 39708, 825, 22193, 266, 1147, 40730, 16, 289, 15419, 18787, 5040, 4966, 18, 3791, 492, 14403, 16, 374, 9181, 322, 5195, 16, 988, 3164, 15842, 18, 1178, 38484, 487, 34386, 1830, 373, 764, 4038, 4776, 16, 975, 10412, 34468, 281, 13225, 1116, 14978, 3262, 432, 43363, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 528, 508, 280, 337, 431, 1241, 9861, 337, 431, 4176, 478, 26732, 375, 470, 360, 14248, 282, 8267, 281, 478, 38238, 304, 861, 5674, 14508, 3216, 3424, 22045, 4024, 478, 45380, 470, 289, 322, 10587, 39164, 360, 1949, 48872, 23904, 18, 31224, 30, 471, 26732, 375, 470, 289, 478, 38238, 470, 18397, 10258, 1617, 4101, 26070, 16, 1548, 942, 639, 16419, 309, 30747, 12544, 282, 20035, 16, 867, 1033, 374, 282, 7426, 1613, 2244, 334, 17, 11863, 20063, 9806, 4362, 475, 3440, 18, 5674, 35036, 16528, 12982, 326, 567, 7422, 44056, 7977, 281, 478, 36796, 910, 785, 45300, 326, 4410, 289, 30113, 274, 9406, 16, 515, 475, 575, 2702, 5564, 434, 21755, 16, 33701, 371, 5495, 8438, 1110, 16, 1085, 334, 32883, 5273, 478, 26732, 375, 470, 3196, 27299, 15825, 18, 11603, 264, 5534, 32462, 329, 6001, 26604, 4671, 700, 3583, 7696, 16, 2107, 1247, 16, 374, 3964, 322, 1494, 10870, 879, 9680, 5073, 22829, 309, 17285, 18, 385, 478, 36796, 470, 2191, 363, 4287, 1329, 322, 8477, 16, 428, 309, 14014, 1051, 1212, 2303, 913, 29086, 16, 289, 19846, 10660, 18, 403, 15695, 16, 2303, 356, 23187, 31819, 20035, 14751, 1807, 1371, 346, 263, 22565, 16, 367, 1696, 1336, 478, 26732, 375, 470, 9170, 6281, 289, 282, 2297, 1020, 643, 582, 18, 1787, 7561, 1175, 4577, 639, 322, 3818, 2903, 1757, 16, 2686, 20166, 505, 282, 37131, 962, 16180, 5538, 639, 373, 15955, 18, 996, 374, 29196, 322, 23077, 16, 4092, 659, 2191, 363, 4287, 6281, 1642, 18, 27025, 2230, 314, 287, 486, 8815, 40325, 5284, 2158, 30346, 329, 478, 28345, 470, 1624, 43009, 2702, 34593, 12544, 282, 25152, 16, 374, 2993, 639, 47338, 282, 20035, 18, 967, 803, 15365, 22009, 9680, 939, 26661, 309, 34565, 3588, 16, 2671, 10551, 8182, 2743, 1608, 1307, 1353, 2169, 651, 20502, 401, 289, 2227, 3158, 16, 961, 2125, 898, 13581, 4800, 286, 476, 18, 1735, 687, 282, 2456, 20330, 464, 7977, 282, 33044, 31277, 3895, 322, 17363, 478, 26732, 375, 11593, 472, 18920, 2245, 10669, 473, 14845, 604, 862, 16, 322, 749, 469, 1869, 13, 403, 1508, 1528, 289, 6435, 282, 8111, 16, 515, 40984, 1245, 16480, 21587, 1035, 378, 1123, 931, 4654, 18, 403, 15695, 16, 7265, 17771, 620, 282, 803, 8267 ]
[ 685, 20330, 28661, 2407, 26817, 5741, 17, 7745, 6096, 6452, 306, 3141, 651, 5104, 14818, 282, 6104, 49353, 478, 13781, 470, 25734, 6452, 306, 5539, 18, 439, 15585, 281, 472, 3201, 1305, 1472, 12879, 364, 7646, 309, 1613, 5199, 16, 374, 360, 4966, 9281, 8815, 10754, 18, 528, 3979, 1116, 757, 1852, 726, 2615, 1078, 37704, 11701, 30, 9592, 486, 7563, 11216, 282, 10556, 668, 4800, 286, 476, 16, 1500, 14212, 505, 5762, 1674, 2227, 45850, 16, 515, 3227, 30547, 5335, 13879, 3064, 6434, 675, 523, 18, 640, 4039, 17, 295, 20537, 774, 34544, 2191, 34041, 12983, 289, 4521, 25309, 16, 13879, 13850, 1833, 1421, 10687, 282, 8111, 16, 4722, 651, 726, 7073, 309, 2303, 913, 18, 17734, 10084, 478, 26732, 884, 470, 282, 870, 7130, 4369, 17871, 518, 575, 11222, 16, 374, 289, 282, 8267, 281, 478, 36796, 910, 289, 8477, 687, 29677, 16, 428, 2191, 35036, 42500, 751, 322, 5505, 3058, 1593, 282, 12013, 282, 3734, 1045, 18, 5043, 16, 309, 7256, 445, 6434, 675, 523, 282, 1177, 2894, 685, 4726, 282, 1561, 298, 18, 1937, 9592, 486, 381, 2885, 271, 2777, 23218, 640, 342, 507, 289, 1872, 6608, 294, 24557, 478, 26732, 884, 910, 17701, 3424, 11453, 3389, 47487, 18, 640, 2992, 44368, 4671, 700, 512, 19346, 25451, 9651, 324, 289, 21364, 15043, 16, 2686, 10938, 548, 282, 5514, 3920, 17343, 17701, 322, 13316, 1323, 30, 478, 26732, 888, 470, 16528, 322, 9929, 15386, 18, 640, 21786, 17, 295, 20537, 43361, 2070, 29408, 378, 1123, 931, 397, 272, 17192, 477, 10556, 434, 16, 515, 322, 1033, 924, 18, 403, 2222, 575, 4671, 700, 14457, 3711, 7885, 2048, 289, 27691, 25283, 16, 581, 764, 5458, 4934, 30, 34698, 9104, 403, 962, 5461, 45227, 4210, 25100, 379, 273, 18, 1845, 932, 968, 3196, 324, 478, 26732, 884, 470, 360, 978, 322, 2756, 16, 289, 282, 6031, 478, 38238, 272, 470, 1194, 977, 17, 2767, 34565, 3174, 18, 4800, 685, 33968, 1390, 329, 478, 36796, 470, 510, 21178, 2175, 17363, 7947, 31617, 611, 18, 640, 7256, 445, 6370, 2227, 389, 6382, 334, 22824, 16, 8782, 844, 706, 281, 4800, 286, 7784, 289, 4745, 37103, 5289, 6434, 675, 3340, 18, 365, 6031, 478, 26732, 888, 470, 281, 14418, 536, 6525, 3225, 3221, 2795, 2948, 30, 1011, 24377, 37858, 1015, 382, 282, 32517, 6421, 281, 5625, 36725, 37103, 1241, 9861, 337, 288, 18, 17935, 7130, 1194, 887, 309, 20287, 16, 4966, 6547, 475, 16, 753, 41701, 2566, 451, 774, 16, 289, 15386, 11576, 373, 309, 30326, 6459, 1879, 18, 19770, 3583, 3005, 41701, 309, 7426, 3749, 5706, 16, 2686, 14248, 478, 38238, 470, 475, 17, 2767, 322, 35452, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 26732, 375, 470, 651, 478, 38238, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 18569, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 28322, 345, 1871, 5600, 7898, 10185, 43820, 424, 34819, 9511, 21038, 1439, 285, 1086, 282, 3178, 5196, 18, 824, 697, 3163, 16, 9770, 5754, 12674, 435, 16972, 25536, 4701, 396, 793, 10185, 309, 16741, 282, 28785, 2849, 289, 3038, 862, 19323, 39128, 2089, 2768, 18, 31995, 659, 10185, 7220, 13311, 1209, 2868, 396, 793, 16, 367, 9770, 852, 648, 857, 4751, 808, 541, 20862, 33500, 519, 1488, 3598, 16, 1655, 428, 6287, 8296, 19762, 6517, 4684, 309, 1912, 3598, 18, 31224, 30, 780, 3832, 27144, 2110, 30292, 9657, 32830, 6871, 473, 23661, 6804, 13, 23229, 6287, 32430, 382, 309, 19862, 17021, 43820, 424, 34819, 9511, 309, 1912, 3598, 3734, 779, 18, 37969, 19762, 895, 30440, 282, 3178, 5196, 2988, 519, 924, 6175, 16, 785, 5693, 7898, 1747, 7052, 1007, 18, 29609, 32430, 382, 30292, 17029, 12652, 451, 10659, 2868, 396, 793, 5754, 309, 16741, 282, 28785, 2849, 16, 6177, 26349, 13311, 349, 5065, 2768, 322, 23803, 18, 23656, 421, 672, 6804, 16144, 16, 374, 411, 17, 431, 3246, 347, 22506, 309, 8712, 4851, 4704, 304, 13495, 1817, 7898, 8753, 898, 9650, 1007, 289, 10353, 12674, 1007, 309, 41961, 16741, 4701, 18, 6682, 924, 16, 282, 11872, 309, 17021, 39700, 590, 30390, 1700, 4981, 424, 7572, 4090, 7143, 434, 33881, 296, 599, 343, 25571, 43101, 1075, 2051, 1052, 16, 2486, 37423, 764, 1176, 8777, 510, 281, 1912, 334, 2123, 4160, 18, 889, 25554, 808, 1038, 840, 12674, 1569, 309, 16741, 18, 985, 4848, 478, 46088, 18, 8381, 470, 8624, 21462, 1941, 30292, 416, 3320, 421, 672, 6804, 6370, 22106, 1161, 16, 9770, 10185, 4226, 1713, 1734, 334, 14371, 23371, 2868, 396, 793, 334, 491, 19, 23, 360, 33110, 1809, 13311, 10659, 341, 697, 309, 16741, 16, 961, 4643, 26327, 687, 282, 7077, 269, 547, 9802, 4226, 42004, 17818, 13866, 812, 7310, 23371, 18, 967, 803, 282, 30292, 263, 16144, 16, 374, 9770, 10185, 32556, 5645, 1918, 5754, 16, 374, 5836, 282, 10483, 582, 8641, 2574, 6225, 281, 421, 672, 6804, 16, 374, 282, 3453, 3320, 6815, 467, 18, 365, 3106, 13062, 309, 870, 4905, 34144, 42163, 1061, 4238, 35670, 24118, 282, 15347, 21359, 16, 282, 2114, 7650, 3455, 2364, 10367, 1135, 18, 30491, 10185, 5693, 42163, 29902, 576, 16, 515, 15536, 368, 25483, 322, 29876, 16, 16144, 282, 421, 672, 6804, 18, 3703, 4238, 30292, 18946, 19790, 10185, 4150, 6676, 5693, 18, 4016, 4238, 360, 35278, 5754, 12175, 3038, 10285, 870, 5693, 16, 374, 26285, 421, 672, 6804, 2990, 309, 15740, 289, 11506, 32430, 382, 18, 985, 16144, 282, 30292, 263, 16, 1833, 1011, 978, 9770, 10185, 2671, 40247, 28782, 7910, 1066, 16, 1586, 33550, 6406, 9704, 35278, 282, 1750, 32430, 382, 18, 28186, 6660, 15923, 17958, 5039, 768, 45169, 8409, 808, 541, 14296, 41716, 8264, 35278, 10185, 505, 24382, 519, 1488, 3598, 18, 19441, 24911, 7214, 309, 1177, 3321, 16, 515, 19755, 16, 374, 16985, 294, 32430, 582, 14640, 2773, 322, 840, 30, 2555, 4238, 19790, 10185, 639, 44356, 31373, 47585, 290, 13957, 8296, 19762, 1912, 3598, 18, 365, 5487, 5973, 1133, 21332, 282, 34819, 877, 35272, 30495, 40271, 7898, 281, 10185, 28857, 567, 25476, 362, 2557, 16, 1586, 424, 17809, 13071, 282, 3320, 289, 13957, 32430, 368, 18, 23302, 978, 10185, 349, 4101, 1533, 986, 10258, 7109, 36597, 11400, 19762, 16, 6177, 2504, 411, 6367, 1967, 32430, 368, 40394, 322, 685, 18, 18197, 23763, 594, 2147, 309, 17021, 28857, 12935, 282, 5653, 1045, 289, 1103, 29791, 2706, 2868, 18, 824, 3163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 685, 20330, 28661, 2407, 26817, 5741, 17, 7745, 6096, 6452, 306, 3141, 651, 5104, 14818, 282, 6104, 49353, 478, 13781, 470, 25734, 6452, 306, 5539, 18, 439, 15585, 281, 472, 3201, 1305, 1472, 12879, 364, 7646, 309, 1613, 5199, 16, 374, 360, 4966, 9281, 8815, 10754, 18, 528, 3979, 1116, 757, 1852, 726, 2615, 1078, 37704, 11701, 30, 9592, 486, 7563, 11216, 282, 10556, 668, 4800, 286, 476, 16, 1500, 14212, 505, 5762, 1674, 2227, 45850, 16, 515, 3227, 30547, 5335, 13879, 3064, 6434, 675, 523, 18, 640, 4039, 17, 295, 20537, 774, 34544, 2191, 34041, 12983, 289, 4521, 25309, 16, 13879, 13850, 1833, 1421, 10687, 282, 8111, 16, 4722, 651, 726, 7073, 309, 2303, 913, 18, 17734, 10084, 478, 26732, 884, 470, 282, 870, 7130, 4369, 17871, 518, 575, 11222, 16, 374, 289, 282, 8267, 281, 478, 36796, 910, 289, 8477, 687, 29677, 16, 428, 2191, 35036, 42500, 751, 322, 5505, 3058, 1593, 282, 12013, 282, 3734, 1045, 18, 5043, 16, 309, 7256, 445, 6434, 675, 523, 282, 1177, 2894, 685, 4726, 282, 1561, 298, 18, 1937, 9592, 486, 381, 2885, 271, 2777, 23218, 640, 342, 507, 289, 1872, 6608, 294, 24557, 478, 26732, 884, 910, 17701, 3424, 11453, 3389, 47487, 18, 640, 2992, 44368, 4671, 700, 512, 19346, 25451, 9651, 324, 289, 21364, 15043, 16, 2686, 10938, 548, 282, 5514, 3920, 17343, 17701, 322, 13316, 1323, 30, 478, 26732, 888, 470, 16528, 322, 9929, 15386, 18, 640, 21786, 17, 295, 20537, 43361, 2070, 29408, 378, 1123, 931, 397, 272, 17192, 477, 10556, 434, 16, 515, 322, 1033, 924, 18, 403, 2222, 575, 4671, 700, 14457, 3711, 7885, 2048, 289, 27691, 25283, 16, 581, 764, 5458, 4934, 30, 34698, 9104, 403, 962, 5461, 45227, 4210, 25100, 379, 273, 18, 1845, 932, 968, 3196, 324, 478, 26732, 884, 470, 360, 978, 322, 2756, 16, 289, 282, 6031, 478, 38238, 272, 470, 1194, 977, 17, 2767, 34565, 3174, 18, 4800, 685, 33968, 1390, 329, 478, 36796, 470, 510, 21178, 2175, 17363, 7947, 31617, 611, 18, 640, 7256, 445, 6370, 2227, 389, 6382, 334, 22824, 16, 8782, 844, 706, 281, 4800, 286, 7784, 289, 4745, 37103, 5289, 6434, 675, 3340, 18, 365, 6031, 478, 26732, 888, 470, 281, 14418, 536, 6525, 3225, 3221, 2795, 2948, 30, 1011, 24377, 37858, 1015, 382, 282, 32517, 6421, 281, 5625, 36725, 37103, 1241, 9861, 337, 288, 18, 17935, 7130, 1194, 887, 309, 20287, 16, 4966, 6547, 475, 16, 753, 41701, 2566, 451, 774, 16, 289, 15386, 11576, 373, 309, 30326, 6459, 1879, 18, 19770, 3583, 3005, 41701, 309, 7426, 3749, 5706, 16, 2686, 14248, 478, 38238, 470, 475, 17, 2767, 322, 35452, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 26732, 375, 470, 651, 478, 38238, 861, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 942, 309, 7759, 18569, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 28322, 345, 1871, 5600, 7898, 10185, 43820, 424, 34819, 9511, 21038, 1439, 285, 1086, 282, 3178, 5196, 18, 824, 697, 3163, 16, 9770, 5754, 12674, 435, 16972, 25536, 4701, 396, 793, 10185, 309, 16741, 282, 28785, 2849, 289, 3038, 862, 19323, 39128, 2089, 2768, 18, 31995, 659, 10185, 7220, 13311, 1209, 2868, 396, 793, 16, 367, 9770, 852, 648, 857, 4751, 808, 541, 20862, 33500, 519, 1488, 3598, 16, 1655, 428, 6287, 8296, 19762, 6517, 4684, 309, 1912, 3598, 18, 31224, 30, 780, 3832, 27144, 2110, 30292, 9657, 32830, 6871, 473, 23661, 6804, 13, 23229, 6287, 32430, 382, 309, 19862, 17021, 43820, 424, 34819, 9511, 309, 1912, 3598, 3734, 779, 18, 37969, 19762, 895, 30440, 282, 3178, 5196, 2988, 519, 924, 6175, 16, 785, 5693, 7898, 1747, 7052, 1007, 18, 29609, 32430, 382, 30292, 17029, 12652, 451, 10659, 2868, 396, 793, 5754, 309, 16741, 282, 28785, 2849, 16, 6177, 26349, 13311, 349, 5065, 2768, 322, 23803, 18, 23656, 421, 672, 6804, 16144, 16, 374, 411, 17, 431, 3246, 347, 22506, 309, 8712, 4851, 4704, 304, 13495, 1817, 7898, 8753, 898, 9650, 1007, 289, 10353, 12674, 1007, 309, 41961, 16741, 4701, 18, 6682, 924, 16, 282, 11872, 309, 17021, 39700, 590, 30390, 1700, 4981, 424, 7572, 4090, 7143, 434, 33881, 296, 599, 343, 25571, 43101, 1075, 2051, 1052, 16, 2486, 37423, 764, 1176, 8777, 510, 281, 1912, 334, 2123, 4160, 18, 889, 25554, 808, 1038, 840, 12674, 1569, 309, 16741, 18, 985, 4848, 478, 46088, 18, 8381, 470, 8624, 21462, 1941, 30292, 416, 3320, 421, 672, 6804, 6370, 22106, 1161, 16, 9770, 10185, 4226, 1713, 1734, 334, 14371, 23371, 2868, 396, 793, 334, 491, 19, 23, 360, 33110, 1809, 13311, 10659, 341, 697, 309, 16741, 16, 961, 4643, 26327, 687, 282, 7077, 269, 547, 9802, 4226, 42004, 17818, 13866, 812, 7310, 23371, 18, 967, 803, 282, 30292, 263, 16144, 16, 374, 9770, 10185, 32556, 5645, 1918, 5754, 16, 374, 5836, 282, 10483, 582, 8641, 2574, 6225, 281, 421, 672, 6804, 16, 374, 282, 3453, 3320, 6815, 467, 18, 365, 3106, 13062, 309, 870, 4905, 34144, 42163, 1061, 4238, 35670, 24118, 282, 15347, 21359, 16, 282, 2114, 7650, 3455, 2364, 10367, 1135, 18, 30491, 10185, 5693, 42163, 29902, 576, 16, 515, 15536, 368, 25483, 322, 29876, 16, 16144, 282, 421, 672, 6804, 18, 3703, 4238, 30292, 18946, 19790, 10185, 4150, 6676, 5693, 18, 4016, 4238, 360, 35278, 5754, 12175, 3038, 10285, 870, 5693, 16, 374, 26285, 421, 672, 6804, 2990, 309, 15740, 289, 11506, 32430, 382, 18, 985, 16144, 282, 30292, 263, 16, 1833, 1011, 978, 9770, 10185, 2671, 40247, 28782, 7910, 1066, 16, 1586, 33550, 6406, 9704, 35278, 282, 1750, 32430, 382, 18, 28186, 6660, 15923, 17958, 5039, 768, 45169, 8409, 808, 541, 14296, 41716, 8264, 35278, 10185, 505, 24382, 519, 1488, 3598, 18, 19441, 24911, 7214, 309, 1177, 3321, 16, 515, 19755, 16, 374, 16985, 294, 32430, 582, 14640, 2773, 322, 840, 30, 2555, 4238, 19790, 10185, 639, 44356, 31373, 47585, 290, 13957, 8296, 19762, 1912, 3598, 18, 365, 5487, 5973, 1133, 21332, 282, 34819, 877, 35272, 30495, 40271, 7898, 281, 10185, 28857, 567, 25476, 362, 2557, 16, 1586, 424, 17809, 13071, 282, 3320, 289, 13957, 32430, 368, 18, 23302, 978, 10185, 349, 4101, 1533, 986, 10258, 7109, 36597, 11400, 19762, 16, 6177, 2504, 411, 6367, 1967, 32430, 368, 40394, 322, 685, 18, 18197, 23763, 594, 2147, 309, 17021, 28857, 12935, 282, 5653, 1045, 289, 1103, 29791, 2706, 2868, 18, 824, 3163 ]
[ 15803, 22106, 4593, 16, 3361, 1251, 8996, 12230, 289, 19716, 10185, 43820, 12549, 1453, 18, 478, 732, 997, 11440, 477, 1963, 12457, 16, 753, 1749, 537, 282, 17607, 1750, 322, 20146, 282, 32430, 582, 18, 20205, 2546, 48888, 15369, 11772, 16, 30020, 269, 758, 22279, 9061, 18, 37831, 44080, 2141, 8754, 414, 18822, 323, 510, 5780, 16, 374, 478, 5350, 554, 1988, 3794, 470, 25483, 910, 510, 4848, 22106, 1161, 18, 27695, 421, 672, 6804, 5692, 16, 374, 9770, 10185, 289, 8811, 1038, 322, 5988, 1886, 282, 22239, 45627, 334, 7546, 19304, 289, 20944, 5197, 30, 282, 4729, 30391, 292, 939, 22810, 16, 935, 12010, 5106, 3230, 4668, 6654, 16, 3828, 22106, 1161, 18, 985, 15135, 5854, 42163, 16, 22434, 29418, 309, 1514, 25991, 4896, 2364, 11281, 2634, 2791, 16, 367, 2496, 7898, 1177, 15497, 20542, 4652, 4039, 16, 26, 5600, 2791, 18, 1787, 24507, 16, 5938, 22573, 3761, 16, 309, 478, 46041, 46852, 10589, 263, 470, 22434, 29418, 4896, 2364, 2706, 2634, 2791, 16, 515, 14451, 10185, 16144, 16, 374, 309, 2456, 2463, 1177, 15497, 8405, 1715, 19124, 4803, 18, 421, 672, 6804, 13875, 17802, 309, 37913, 6367, 32430, 382, 18, 22106, 1161, 10824, 16, 374, 481, 322, 45825, 17954, 30786, 16, 367, 9823, 1158, 549, 30, 2733, 2175, 421, 672, 6804, 3957, 13864, 26314, 360, 17420, 722, 8597, 416, 18, 27695, 42163, 14268, 2433, 32430, 382, 309, 17021, 28857, 567, 25476, 362, 2557, 510, 722, 25262, 8597, 416, 16, 1548, 374, 3400, 6367, 5121, 309, 1272, 1631, 1143, 16, 828, 639, 25583, 1569, 4419, 18, 22106, 1161, 13744, 16, 374, 3556, 5331, 9744, 42745, 1488, 3598, 18, 478, 1358, 3684, 16, 374, 1655, 475, 49267, 18, 1178, 13905, 20776, 309, 48822, 1488, 3598, 16, 502, 481, 840, 3215, 14560, 695, 510, 29974, 16335, 1488, 3598, 910, 510, 4848, 5854, 42163, 18, 985, 3225, 12369, 478, 46088, 18, 8381, 910, 282, 4675, 808, 9770, 10185, 43820, 3164, 282, 45379, 289, 2204, 5534, 15841, 334, 5083, 29302, 4096, 4751, 322, 895, 18, 13925, 5854, 3781, 17, 14130, 478, 1182, 380, 3646, 342, 5039, 12148, 5423, 470, 475, 575, 13598, 12117, 1078, 2241, 18, 478, 677, 4675, 808, 31680, 9744, 290, 2574, 4543, 35968, 8753, 282, 5118, 281, 8252, 1809, 21285, 309, 5814, 289, 4463, 1212, 3741, 13542, 18, 365, 4301, 1967, 11738, 30292, 13598, 5693, 294, 2452, 3707, 35968, 8753, 18, 3782, 37756, 764, 322, 3227, 10197, 910, 510, 5130, 282, 9907, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9805, 26834, 8874, 478, 630, 7719, 40785, 427, 30, 5835, 344, 343, 289, 7992, 539, 6364, 31178, 470, 510, 38317, 26914, 277, 290, 24242, 432, 44685, 16, 282, 2114, 48364, 32650, 309, 9482, 969, 5427, 559, 18, 31224, 30, 5798, 5835, 344, 343, 906, 764, 10795, 761, 16, 5557, 10703, 1450, 7668, 554, 30, 26495, 2848, 9955, 942, 3089, 16, 827, 1904, 18709, 24622, 309, 49792, 2606, 25313, 9023, 662, 18, 16577, 3142, 45349, 16981, 5835, 344, 343, 7118, 19654, 281, 11605, 16, 281, 3279, 322, 939, 17, 299, 5764, 341, 16, 367, 7711, 539, 6364, 31178, 510, 3895, 520, 322, 15998, 9955, 16, 1586, 8824, 329, 5835, 344, 382, 360, 1436, 18, 24243, 16, 17752, 30, 4465, 613, 2944, 2498, 5820, 18, 11799, 16, 6432, 4448, 8528, 3553, 16, 5835, 344, 343, 8493, 15527, 12242, 16, 2486, 9414, 594, 11852, 2770, 8746, 451, 46523, 2234, 6413, 931, 18, 5403, 9935, 349, 1498, 282, 3157, 289, 24370, 2617, 16, 2505, 23243, 16, 282, 515, 344, 16, 5835, 344, 343, 8405, 282, 4008, 3301, 3494, 8656, 289, 20830, 16, 2723, 1734, 17009, 6205, 7807, 38744, 16, 7236, 869, 5878, 4857, 21208, 21880, 24670, 35427, 1347, 12952, 6729, 401, 18, 5091, 17, 299, 1336, 16, 2496, 16302, 434, 5067, 442, 16803, 16, 3164, 289, 6364, 31178, 16, 515, 16, 753, 505, 9078, 16, 4128, 34611, 1920, 281, 27174, 7754, 40785, 427, 510, 3495, 33880, 30, 329, 1047, 309, 5943, 451, 541, 5835, 344, 382, 4421, 13115, 1617, 16, 3964, 9658, 3793, 9118, 18, 365, 19862, 13006, 464, 48364, 510, 42703, 16, 367, 1548, 3872, 592, 1545, 18602, 18, 985, 289, 17485, 451, 25309, 2241, 1075, 41362, 17071, 16, 14361, 10178, 27328, 349, 4101, 3142, 3895, 520, 322, 475, 26914, 918, 768, 525, 262, 421, 746, 40932, 3588, 16, 2019, 13519, 13798, 32435, 478, 8936, 7380, 14363, 470, 3848, 24219, 16, 12425, 5429, 18, 478, 630, 7719, 40785, 427, 470, 282, 803, 22668, 510, 3260, 2702, 17837, 30, 4011, 289, 322, 13865, 16, 289, 322, 3275, 2844, 3499, 18, 981, 16, 26914, 277, 685, 49038, 1390, 29022, 4889, 333, 1117, 339, 22064, 428, 10793, 28636, 5862, 6793, 16, 515, 20295, 7939, 1508, 582, 2725, 299, 16, 2598, 447, 1779, 1500, 575, 38317, 37932, 8854, 16, 374, 289, 28254, 31766, 1082, 1624, 294, 13036, 277, 48364, 17, 32231, 12661, 322, 7832, 18, 824, 5833, 3538, 1055, 18, 36424, 282, 40883, 11144, 1045, 2394, 349, 43394, 40621, 454, 16, 492, 11391, 867, 16, 374, 6443, 42236, 473, 275, 4810, 16, 541, 43656, 324, 459, 5902, 560, 289, 18651, 262, 1614, 382, 507, 700, 25408, 11368, 1293, 15474, 289, 13458, 937, 12566, 541, 33898, 9806, 18, 17791, 16, 478, 630, 7719, 40785, 427, 470, 510, 505, 28910, 282, 5305, 40621, 416, 28636, 553, 18, 385, 2107, 1963, 16, 27812, 282, 39286, 478, 33894, 756, 40785, 427, 470, 21922, 18421, 18, 3397, 16, 785, 13004, 1739, 14641, 13006, 354, 381, 20797, 10189, 20462, 536, 2558, 263, 1212, 478, 23, 40, 910, 4153, 40139, 816, 40, 289, 491, 40, 28636, 1066, 478, 630, 7719, 40785, 427, 470, 37781, 6993, 31102, 16, 367, 1548, 10047, 6071, 18, 421, 9199, 33257, 33974, 31343, 3366, 22064, 5982, 25779, 907, 18, 1180, 2211, 4085, 344, 282, 6491, 5866, 19120, 8786, 16, 1372, 4028, 1195, 478, 672, 3394, 287, 635, 282, 17636, 16847, 910, 478, 992, 15256, 538, 1305, 910, 24670, 35427, 18302, 15182, 31208, 282, 478, 1140, 11455, 504, 15044, 470, 289, 478, 27064, 312, 3409, 861, 5043, 16, 8225, 47392, 416, 40313, 541, 48364, 13284, 322, 14108, 30, 38284, 548, 33169, 726, 2944, 2886, 530, 16, 942, 520, 6532, 48364, 4863, 298, 12252, 4368, 478, 20186, 3675, 6210, 10300, 30, 31926, 3960, 813, 470, 289, 1033, 5543, 4846, 281, 4947, 4611, 20297, 478, 20186, 3675, 6210, 10300, 25543, 30, 4272, 371, 47404, 861, 1178, 26095, 478, 630, 7719 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15803, 22106, 4593, 16, 3361, 1251, 8996, 12230, 289, 19716, 10185, 43820, 12549, 1453, 18, 478, 732, 997, 11440, 477, 1963, 12457, 16, 753, 1749, 537, 282, 17607, 1750, 322, 20146, 282, 32430, 582, 18, 20205, 2546, 48888, 15369, 11772, 16, 30020, 269, 758, 22279, 9061, 18, 37831, 44080, 2141, 8754, 414, 18822, 323, 510, 5780, 16, 374, 478, 5350, 554, 1988, 3794, 470, 25483, 910, 510, 4848, 22106, 1161, 18, 27695, 421, 672, 6804, 5692, 16, 374, 9770, 10185, 289, 8811, 1038, 322, 5988, 1886, 282, 22239, 45627, 334, 7546, 19304, 289, 20944, 5197, 30, 282, 4729, 30391, 292, 939, 22810, 16, 935, 12010, 5106, 3230, 4668, 6654, 16, 3828, 22106, 1161, 18, 985, 15135, 5854, 42163, 16, 22434, 29418, 309, 1514, 25991, 4896, 2364, 11281, 2634, 2791, 16, 367, 2496, 7898, 1177, 15497, 20542, 4652, 4039, 16, 26, 5600, 2791, 18, 1787, 24507, 16, 5938, 22573, 3761, 16, 309, 478, 46041, 46852, 10589, 263, 470, 22434, 29418, 4896, 2364, 2706, 2634, 2791, 16, 515, 14451, 10185, 16144, 16, 374, 309, 2456, 2463, 1177, 15497, 8405, 1715, 19124, 4803, 18, 421, 672, 6804, 13875, 17802, 309, 37913, 6367, 32430, 382, 18, 22106, 1161, 10824, 16, 374, 481, 322, 45825, 17954, 30786, 16, 367, 9823, 1158, 549, 30, 2733, 2175, 421, 672, 6804, 3957, 13864, 26314, 360, 17420, 722, 8597, 416, 18, 27695, 42163, 14268, 2433, 32430, 382, 309, 17021, 28857, 567, 25476, 362, 2557, 510, 722, 25262, 8597, 416, 16, 1548, 374, 3400, 6367, 5121, 309, 1272, 1631, 1143, 16, 828, 639, 25583, 1569, 4419, 18, 22106, 1161, 13744, 16, 374, 3556, 5331, 9744, 42745, 1488, 3598, 18, 478, 1358, 3684, 16, 374, 1655, 475, 49267, 18, 1178, 13905, 20776, 309, 48822, 1488, 3598, 16, 502, 481, 840, 3215, 14560, 695, 510, 29974, 16335, 1488, 3598, 910, 510, 4848, 5854, 42163, 18, 985, 3225, 12369, 478, 46088, 18, 8381, 910, 282, 4675, 808, 9770, 10185, 43820, 3164, 282, 45379, 289, 2204, 5534, 15841, 334, 5083, 29302, 4096, 4751, 322, 895, 18, 13925, 5854, 3781, 17, 14130, 478, 1182, 380, 3646, 342, 5039, 12148, 5423, 470, 475, 575, 13598, 12117, 1078, 2241, 18, 478, 677, 4675, 808, 31680, 9744, 290, 2574, 4543, 35968, 8753, 282, 5118, 281, 8252, 1809, 21285, 309, 5814, 289, 4463, 1212, 3741, 13542, 18, 365, 4301, 1967, 11738, 30292, 13598, 5693, 294, 2452, 3707, 35968, 8753, 18, 3782, 37756, 764, 322, 3227, 10197, 910, 510, 5130, 282, 9907, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 9805, 26834, 8874, 478, 630, 7719, 40785, 427, 30, 5835, 344, 343, 289, 7992, 539, 6364, 31178, 470, 510, 38317, 26914, 277, 290, 24242, 432, 44685, 16, 282, 2114, 48364, 32650, 309, 9482, 969, 5427, 559, 18, 31224, 30, 5798, 5835, 344, 343, 906, 764, 10795, 761, 16, 5557, 10703, 1450, 7668, 554, 30, 26495, 2848, 9955, 942, 3089, 16, 827, 1904, 18709, 24622, 309, 49792, 2606, 25313, 9023, 662, 18, 16577, 3142, 45349, 16981, 5835, 344, 343, 7118, 19654, 281, 11605, 16, 281, 3279, 322, 939, 17, 299, 5764, 341, 16, 367, 7711, 539, 6364, 31178, 510, 3895, 520, 322, 15998, 9955, 16, 1586, 8824, 329, 5835, 344, 382, 360, 1436, 18, 24243, 16, 17752, 30, 4465, 613, 2944, 2498, 5820, 18, 11799, 16, 6432, 4448, 8528, 3553, 16, 5835, 344, 343, 8493, 15527, 12242, 16, 2486, 9414, 594, 11852, 2770, 8746, 451, 46523, 2234, 6413, 931, 18, 5403, 9935, 349, 1498, 282, 3157, 289, 24370, 2617, 16, 2505, 23243, 16, 282, 515, 344, 16, 5835, 344, 343, 8405, 282, 4008, 3301, 3494, 8656, 289, 20830, 16, 2723, 1734, 17009, 6205, 7807, 38744, 16, 7236, 869, 5878, 4857, 21208, 21880, 24670, 35427, 1347, 12952, 6729, 401, 18, 5091, 17, 299, 1336, 16, 2496, 16302, 434, 5067, 442, 16803, 16, 3164, 289, 6364, 31178, 16, 515, 16, 753, 505, 9078, 16, 4128, 34611, 1920, 281, 27174, 7754, 40785, 427, 510, 3495, 33880, 30, 329, 1047, 309, 5943, 451, 541, 5835, 344, 382, 4421, 13115, 1617, 16, 3964, 9658, 3793, 9118, 18, 365, 19862, 13006, 464, 48364, 510, 42703, 16, 367, 1548, 3872, 592, 1545, 18602, 18, 985, 289, 17485, 451, 25309, 2241, 1075, 41362, 17071, 16, 14361, 10178, 27328, 349, 4101, 3142, 3895, 520, 322, 475, 26914, 918, 768, 525, 262, 421, 746, 40932, 3588, 16, 2019, 13519, 13798, 32435, 478, 8936, 7380, 14363, 470, 3848, 24219, 16, 12425, 5429, 18, 478, 630, 7719, 40785, 427, 470, 282, 803, 22668, 510, 3260, 2702, 17837, 30, 4011, 289, 322, 13865, 16, 289, 322, 3275, 2844, 3499, 18, 981, 16, 26914, 277, 685, 49038, 1390, 29022, 4889, 333, 1117, 339, 22064, 428, 10793, 28636, 5862, 6793, 16, 515, 20295, 7939, 1508, 582, 2725, 299, 16, 2598, 447, 1779, 1500, 575, 38317, 37932, 8854, 16, 374, 289, 28254, 31766, 1082, 1624, 294, 13036, 277, 48364, 17, 32231, 12661, 322, 7832, 18, 824, 5833, 3538, 1055, 18, 36424, 282, 40883, 11144, 1045, 2394, 349, 43394, 40621, 454, 16, 492, 11391, 867, 16, 374, 6443, 42236, 473, 275, 4810, 16, 541, 43656, 324, 459, 5902, 560, 289, 18651, 262, 1614, 382, 507, 700, 25408, 11368, 1293, 15474, 289, 13458, 937, 12566, 541, 33898, 9806, 18, 17791, 16, 478, 630, 7719, 40785, 427, 470, 510, 505, 28910, 282, 5305, 40621, 416, 28636, 553, 18, 385, 2107, 1963, 16, 27812, 282, 39286, 478, 33894, 756, 40785, 427, 470, 21922, 18421, 18, 3397, 16, 785, 13004, 1739, 14641, 13006, 354, 381, 20797, 10189, 20462, 536, 2558, 263, 1212, 478, 23, 40, 910, 4153, 40139, 816, 40, 289, 491, 40, 28636, 1066, 478, 630, 7719, 40785, 427, 470, 37781, 6993, 31102, 16, 367, 1548, 10047, 6071, 18, 421, 9199, 33257, 33974, 31343, 3366, 22064, 5982, 25779, 907, 18, 1180, 2211, 4085, 344, 282, 6491, 5866, 19120, 8786, 16, 1372, 4028, 1195, 478, 672, 3394, 287, 635, 282, 17636, 16847, 910, 478, 992, 15256, 538, 1305, 910, 24670, 35427, 18302, 15182, 31208, 282, 478, 1140, 11455, 504, 15044, 470, 289, 478, 27064, 312, 3409, 861, 5043, 16, 8225, 47392, 416, 40313, 541, 48364, 13284, 322, 14108, 30, 38284, 548, 33169, 726, 2944, 2886, 530, 16, 942, 520, 6532, 48364, 4863, 298, 12252, 4368, 478, 20186, 3675, 6210, 10300, 30, 31926, 3960, 813, 470, 289, 1033, 5543, 4846, 281, 4947, 4611, 20297, 478, 20186, 3675, 6210, 10300, 25543, 30, 4272, 371, 47404, 861, 1178, 26095, 478, 630, 7719 ]
[ 272, 40785, 427, 470, 22375, 622, 33057, 16, 1029, 23112, 381, 1454, 16870, 6156, 448, 11618, 448, 3586, 16, 322, 2382, 2636, 16, 537, 2006, 1717, 6364, 31178, 5835, 344, 382, 9298, 3947, 11956, 5166, 6390, 25050, 16, 537, 4723, 19094, 3495, 1368, 289, 1085, 492, 2141, 1574, 16, 282, 4690, 304, 1990, 10505, 34564, 45129, 19233, 288, 18, 478, 630, 7719, 40785, 427, 470, 1717, 1500, 3022, 16, 785, 7969, 2395, 549, 12262, 18397, 16686, 798, 282, 22518, 6138, 19069, 18, 1303, 5290, 309, 2468, 30, 43993, 16, 428, 3545, 16, 7992, 662, 16, 856, 17954, 25075, 549, 16, 33964, 21418, 18, 459, 1974, 281, 867, 9818, 2403, 24828, 15272, 1544, 22697, 282, 1375, 390, 21475, 478, 431, 296, 650, 30871, 470, 2048, 7746, 4644, 35754, 309, 9482, 478, 677, 19609, 17, 265, 861, 4320, 374, 42772, 16, 515, 16, 827, 48364, 289, 2915, 10222, 3217, 8738, 16, 969, 5427, 559, 4128, 424, 4844, 506, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 780, 14604, 470, 282, 3405, 17, 277, 28220, 30682, 8955, 309, 44042, 7513, 16, 1763, 743, 1272, 32657, 478, 684, 3997, 750, 470, 567, 7422, 44056, 1011, 27580, 1728, 24900, 837, 38162, 11282, 32509, 277, 831, 18, 478, 17007, 25761, 470, 4223, 309, 18326, 1756, 282, 26083, 1011, 29510, 9764, 1195, 478, 30731, 350, 3015, 416, 861, 31224, 30, 471, 780, 14604, 470, 4424, 282, 38927, 1045, 30682, 1871, 9764, 9410, 18, 365, 7426, 6566, 21273, 16, 961, 2812, 751, 309, 8985, 1205, 16, 21166, 2497, 17246, 440, 11679, 15573, 3918, 3002, 312, 16, 1220, 5800, 41006, 7756, 439, 16, 16861, 5317, 8955, 281, 537, 19090, 18, 1598, 17, 431, 2567, 21356, 19802, 360, 9658, 1352, 16865, 478, 2176, 22160, 470, 5009, 3287, 1715, 519, 37158, 18, 4185, 1177, 3560, 19802, 2048, 15413, 1674, 289, 20201, 968, 16, 478, 18573, 913, 312, 470, 2003, 639, 12571, 1291, 309, 12542, 16, 17527, 2319, 1494, 5106, 29815, 1116, 541, 1209, 16, 282, 970, 2875, 289, 541, 3609, 17, 27475, 291, 18, 640, 11056, 42222, 478, 18573, 913, 312, 470, 21648, 39077, 282, 23708, 300, 14378, 2553, 16, 1684, 25474, 282, 25857, 478, 10269, 293, 660, 5167, 910, 6177, 282, 17906, 547, 5271, 18, 824, 7413, 281, 22232, 282, 4900, 13922, 16, 282, 4907, 2662, 3424, 6181, 31275, 5714, 278, 530, 345, 16, 282, 23478, 11930, 13681, 28572, 307, 289, 11106, 599, 426, 18947, 665, 18, 2970, 1309, 289, 6979, 1779, 281, 478, 10269, 293, 660, 17003, 470, 26407, 2042, 48853, 10754, 16, 334, 10382, 954, 18447, 1510, 309, 4577, 282, 26244, 750, 1974, 281, 35198, 403, 3904, 315, 18, 19065, 16, 374, 329, 478, 780, 1154, 324, 470, 334, 17, 6093, 11476, 16885, 32462, 34698, 7667, 16, 6895, 30256, 1528, 454, 450, 6845, 296, 1630, 552, 1624, 8937, 1369, 1540, 280, 431, 607, 1624, 38912, 22669, 435, 18, 2876, 5751, 6150, 898, 309, 11056, 13913, 24900, 1051, 16526, 818, 625, 22875, 5888, 5044, 411, 478, 618, 16470, 507, 470, 289, 23932, 11282, 32509, 277, 831, 411, 478, 12003, 44145, 861, 439, 1011, 4466, 281, 478, 10269, 293, 660, 17003, 470, 2438, 3665, 290, 50114, 11138, 28253, 478, 1605, 436, 4920, 1869, 470, 450, 578, 3174, 21867, 276, 18, 478, 684, 3997, 1433, 470, 1223, 1421, 26654, 2928, 2582, 360, 10580, 25421, 18, 44042, 11570, 873, 16, 349, 1639, 9988, 8851, 32124, 478, 13741, 560, 470, 41937, 30301, 611, 1624, 764, 47503, 3342, 315, 16004, 309, 3177, 4577, 18, 365, 25857, 575, 22350, 4172, 282, 803, 12013, 1055, 322, 34447, 537, 7633, 16, 2685, 16807, 1752, 14986, 537, 1186, 982, 473, 275, 970, 2875, 16, 289, 281, 478, 780, 1154, 547, 11523, 17935, 7005, 14694, 294, 31330, 17799, 38162, 1467, 395, 513, 1412, 473, 27946, 537, 16306, 281, 478, 684, 48695, 470, 1642, 282, 1939, 17, 277, 28220, 13, 289, 2270, 272, 14818, 282, 6104, 40524, 37707, 36766, 45829, 42887, 913, 18, 740, 505, 28910, 4223, 7242, 3328, 651, 478, 684, 3997, 542, 470, 46621, 282, 25857, 478, 16846, 482, 861, 999, 2615, 44368, 282, 8267, 1967, 32737, 942, 639, 10229, 687, 4038, 334, 17, 11863, 22711, 16602, 651, 334, 6661, 281, 3217, 289, 281, 2107, 1963, 18, 9133, 639, 7811, 16, 13412, 1660, 42887, 913, 3711, 12631, 2236, 411, 1634, 24900, 1051, 519, 21842, 18, 439, 6287, 6740, 3298, 429, 639, 42139, 9368, 5280, 979, 11282, 32509, 277, 831, 18, 47295, 1360, 21689, 32250, 22232, 289, 935, 14895, 1685, 309, 4577, 16, 774, 1822, 21844, 282, 3177, 28910, 547, 8267, 349, 478, 780, 14604, 470, 282, 7756, 439, 473, 324, 11056, 492, 726, 11347, 1279, 478, 10269, 293, 660, 950, 12235, 774, 1822, 21844, 281, 1210, 9314, 329, 1047, 45109, 31904, 761, 282, 5572, 44056, 16, 1011, 15323, 13344, 346, 469, 1869, 685, 41940, 281, 4629, 18, 11566, 16, 374, 867, 3818, 492, 32655, 1423, 6402, 8616, 16, 453, 1031, 3833, 12763, 282, 3437, 34089, 18, 740, 1373, 25107, 7551, 30353, 18, 403, 10009, 45059, 36725, 282, 2580, 7889, 478, 684, 3997, 750, 910, 828, 29497, 48853, 10754, 18, 2320, 11165, 5335, 477, 478, 21399, 354, 470, 47487, 4084, 15573, 1236, 554, 11516, 2564, 13190, 649, 16, 515, 309, 15655, 9702, 4167, 6140, 15591, 262, 18, 35198, 403, 3904, 315, 1279, 949, 377, 11570, 613, 5274, 452, 274, 35518, 877, 20897, 473, 27434, 2692, 13, 12092, 282, 8151, 6740, 3298, 429, 478, 684, 3997, 542, 470, 37975, 478, 780, 14604, 910, 2581, 7678, 27883, 16602, 282, 32691, 20916, 360, 7889, 18, 365, 1078, 48853, 10754, 757, 8105, 874, 43816, 1177, 10133, 16, 387, 33766, 309, 5335, 668, 10839, 289, 1196, 743, 2406, 477, 33973, 9511, 18, 478, 780, 14604, 470, 8181, 10230, 867, 16, 374, 42262, 334, 2325, 707, 5698, 706, 16, 282, 2630, 281, 828, 10660, 6435, 625, 22875, 5888, 2612, 16, 33701, 1229, 344, 11168, 19671, 521, 18, 1268, 6740, 37253, 15014, 475, 17, 2767, 322, 28896, 297, 751, 18, 40863, 27935, 455, 2196, 343, 6140, 15591, 262, 651, 48853, 10754, 16, 289, 13328, 2076, 2345, 396, 15796, 282, 10556, 668, 18, 365, 764, 3709, 8267, 3405, 17, 361, 13767, 478, 17007, 25761, 470, 3226, 7479, 309, 27691, 39061, 16, 29575, 743, 1634, 6020, 523, 411, 478, 730, 14453, 470, 289, 3221, 29702, 334, 6432, 1876, 281, 478, 2176, 22160, 861, 1681, 11607, 2497, 47137, 660, 472, 1521, 265, 653, 10461, 1011, 32239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 40785, 427, 470, 22375, 622, 33057, 16, 1029, 23112, 381, 1454, 16870, 6156, 448, 11618, 448, 3586, 16, 322, 2382, 2636, 16, 537, 2006, 1717, 6364, 31178, 5835, 344, 382, 9298, 3947, 11956, 5166, 6390, 25050, 16, 537, 4723, 19094, 3495, 1368, 289, 1085, 492, 2141, 1574, 16, 282, 4690, 304, 1990, 10505, 34564, 45129, 19233, 288, 18, 478, 630, 7719, 40785, 427, 470, 1717, 1500, 3022, 16, 785, 7969, 2395, 549, 12262, 18397, 16686, 798, 282, 22518, 6138, 19069, 18, 1303, 5290, 309, 2468, 30, 43993, 16, 428, 3545, 16, 7992, 662, 16, 856, 17954, 25075, 549, 16, 33964, 21418, 18, 459, 1974, 281, 867, 9818, 2403, 24828, 15272, 1544, 22697, 282, 1375, 390, 21475, 478, 431, 296, 650, 30871, 470, 2048, 7746, 4644, 35754, 309, 9482, 478, 677, 19609, 17, 265, 861, 4320, 374, 42772, 16, 515, 16, 827, 48364, 289, 2915, 10222, 3217, 8738, 16, 969, 5427, 559, 4128, 424, 4844, 506, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 780, 14604, 470, 282, 3405, 17, 277, 28220, 30682, 8955, 309, 44042, 7513, 16, 1763, 743, 1272, 32657, 478, 684, 3997, 750, 470, 567, 7422, 44056, 1011, 27580, 1728, 24900, 837, 38162, 11282, 32509, 277, 831, 18, 478, 17007, 25761, 470, 4223, 309, 18326, 1756, 282, 26083, 1011, 29510, 9764, 1195, 478, 30731, 350, 3015, 416, 861, 31224, 30, 471, 780, 14604, 470, 4424, 282, 38927, 1045, 30682, 1871, 9764, 9410, 18, 365, 7426, 6566, 21273, 16, 961, 2812, 751, 309, 8985, 1205, 16, 21166, 2497, 17246, 440, 11679, 15573, 3918, 3002, 312, 16, 1220, 5800, 41006, 7756, 439, 16, 16861, 5317, 8955, 281, 537, 19090, 18, 1598, 17, 431, 2567, 21356, 19802, 360, 9658, 1352, 16865, 478, 2176, 22160, 470, 5009, 3287, 1715, 519, 37158, 18, 4185, 1177, 3560, 19802, 2048, 15413, 1674, 289, 20201, 968, 16, 478, 18573, 913, 312, 470, 2003, 639, 12571, 1291, 309, 12542, 16, 17527, 2319, 1494, 5106, 29815, 1116, 541, 1209, 16, 282, 970, 2875, 289, 541, 3609, 17, 27475, 291, 18, 640, 11056, 42222, 478, 18573, 913, 312, 470, 21648, 39077, 282, 23708, 300, 14378, 2553, 16, 1684, 25474, 282, 25857, 478, 10269, 293, 660, 5167, 910, 6177, 282, 17906, 547, 5271, 18, 824, 7413, 281, 22232, 282, 4900, 13922, 16, 282, 4907, 2662, 3424, 6181, 31275, 5714, 278, 530, 345, 16, 282, 23478, 11930, 13681, 28572, 307, 289, 11106, 599, 426, 18947, 665, 18, 2970, 1309, 289, 6979, 1779, 281, 478, 10269, 293, 660, 17003, 470, 26407, 2042, 48853, 10754, 16, 334, 10382, 954, 18447, 1510, 309, 4577, 282, 26244, 750, 1974, 281, 35198, 403, 3904, 315, 18, 19065, 16, 374, 329, 478, 780, 1154, 324, 470, 334, 17, 6093, 11476, 16885, 32462, 34698, 7667, 16, 6895, 30256, 1528, 454, 450, 6845, 296, 1630, 552, 1624, 8937, 1369, 1540, 280, 431, 607, 1624, 38912, 22669, 435, 18, 2876, 5751, 6150, 898, 309, 11056, 13913, 24900, 1051, 16526, 818, 625, 22875, 5888, 5044, 411, 478, 618, 16470, 507, 470, 289, 23932, 11282, 32509, 277, 831, 411, 478, 12003, 44145, 861, 439, 1011, 4466, 281, 478, 10269, 293, 660, 17003, 470, 2438, 3665, 290, 50114, 11138, 28253, 478, 1605, 436, 4920, 1869, 470, 450, 578, 3174, 21867, 276, 18, 478, 684, 3997, 1433, 470, 1223, 1421, 26654, 2928, 2582, 360, 10580, 25421, 18, 44042, 11570, 873, 16, 349, 1639, 9988, 8851, 32124, 478, 13741, 560, 470, 41937, 30301, 611, 1624, 764, 47503, 3342, 315, 16004, 309, 3177, 4577, 18, 365, 25857, 575, 22350, 4172, 282, 803, 12013, 1055, 322, 34447, 537, 7633, 16, 2685, 16807, 1752, 14986, 537, 1186, 982, 473, 275, 970, 2875, 16, 289, 281, 478, 780, 1154, 547, 11523, 17935, 7005, 14694, 294, 31330, 17799, 38162, 1467, 395, 513, 1412, 473, 27946, 537, 16306, 281, 478, 684, 48695, 470, 1642, 282, 1939, 17, 277, 28220, 13, 289, 2270, 272, 14818, 282, 6104, 40524, 37707, 36766, 45829, 42887, 913, 18, 740, 505, 28910, 4223, 7242, 3328, 651, 478, 684, 3997, 542, 470, 46621, 282, 25857, 478, 16846, 482, 861, 999, 2615, 44368, 282, 8267, 1967, 32737, 942, 639, 10229, 687, 4038, 334, 17, 11863, 22711, 16602, 651, 334, 6661, 281, 3217, 289, 281, 2107, 1963, 18, 9133, 639, 7811, 16, 13412, 1660, 42887, 913, 3711, 12631, 2236, 411, 1634, 24900, 1051, 519, 21842, 18, 439, 6287, 6740, 3298, 429, 639, 42139, 9368, 5280, 979, 11282, 32509, 277, 831, 18, 47295, 1360, 21689, 32250, 22232, 289, 935, 14895, 1685, 309, 4577, 16, 774, 1822, 21844, 282, 3177, 28910, 547, 8267, 349, 478, 780, 14604, 470, 282, 7756, 439, 473, 324, 11056, 492, 726, 11347, 1279, 478, 10269, 293, 660, 950, 12235, 774, 1822, 21844, 281, 1210, 9314, 329, 1047, 45109, 31904, 761, 282, 5572, 44056, 16, 1011, 15323, 13344, 346, 469, 1869, 685, 41940, 281, 4629, 18, 11566, 16, 374, 867, 3818, 492, 32655, 1423, 6402, 8616, 16, 453, 1031, 3833, 12763, 282, 3437, 34089, 18, 740, 1373, 25107, 7551, 30353, 18, 403, 10009, 45059, 36725, 282, 2580, 7889, 478, 684, 3997, 750, 910, 828, 29497, 48853, 10754, 18, 2320, 11165, 5335, 477, 478, 21399, 354, 470, 47487, 4084, 15573, 1236, 554, 11516, 2564, 13190, 649, 16, 515, 309, 15655, 9702, 4167, 6140, 15591, 262, 18, 35198, 403, 3904, 315, 1279, 949, 377, 11570, 613, 5274, 452, 274, 35518, 877, 20897, 473, 27434, 2692, 13, 12092, 282, 8151, 6740, 3298, 429, 478, 684, 3997, 542, 470, 37975, 478, 780, 14604, 910, 2581, 7678, 27883, 16602, 282, 32691, 20916, 360, 7889, 18, 365, 1078, 48853, 10754, 757, 8105, 874, 43816, 1177, 10133, 16, 387, 33766, 309, 5335, 668, 10839, 289, 1196, 743, 2406, 477, 33973, 9511, 18, 478, 780, 14604, 470, 8181, 10230, 867, 16, 374, 42262, 334, 2325, 707, 5698, 706, 16, 282, 2630, 281, 828, 10660, 6435, 625, 22875, 5888, 2612, 16, 33701, 1229, 344, 11168, 19671, 521, 18, 1268, 6740, 37253, 15014, 475, 17, 2767, 322, 28896, 297, 751, 18, 40863, 27935, 455, 2196, 343, 6140, 15591, 262, 651, 48853, 10754, 16, 289, 13328, 2076, 2345, 396, 15796, 282, 10556, 668, 18, 365, 764, 3709, 8267, 3405, 17, 361, 13767, 478, 17007, 25761, 470, 3226, 7479, 309, 27691, 39061, 16, 29575, 743, 1634, 6020, 523, 411, 478, 730, 14453, 470, 289, 3221, 29702, 334, 6432, 1876, 281, 478, 2176, 22160, 861, 1681, 11607, 2497, 47137, 660, 472, 1521, 265, 653, 10461, 1011, 32239 ]
[ 282, 16876, 28220, 282, 9176, 356, 1919, 16, 1642, 558, 3979, 478, 30731, 350, 3015, 392, 470, 2901, 307, 460, 45361, 18, 8071, 37183, 432, 32657, 49778, 45468, 567, 7422, 44056, 16, 6177, 8440, 526, 309, 14540, 23253, 718, 1307, 28772, 2151, 3346, 14213, 3174, 16, 2401, 447, 7894, 282, 3178, 6566, 1879, 18, 11333, 7036, 942, 5298, 309, 7759, 7561, 9893, 1492, 2, 1, 87, 1456, 81, 2448, 30, 24785, 425, 8334, 15780, 30259, 408, 6271, 7786, 1067, 798, 690, 4455, 16, 16672, 15033, 2109, 32253, 16942, 13070, 48830, 13949, 18, 365, 2875, 1791, 432, 510, 37437, 14414, 457, 40364, 17, 22, 16, 457, 40364, 17, 25, 16, 478, 684, 7088, 287, 470, 289, 478, 26431, 4920, 25258, 910, 1718, 9930, 4601, 12886, 13961, 282, 13822, 18, 22271, 5869, 510, 27497, 12652, 432, 40311, 9206, 18, 44607, 4103, 2232, 31909, 895, 7869, 294, 7339, 6086, 281, 7896, 4026, 4838, 16, 424, 20129, 510, 15230, 13588, 28503, 277, 289, 28561, 31869, 19322, 18, 31224, 30, 730, 15550, 13257, 22509, 478, 275, 18809, 46194, 324, 470, 6166, 684, 7088, 287, 910, 457, 40364, 17, 26, 1624, 457, 40364, 17, 25, 25408, 367, 1038, 27118, 305, 10561, 6271, 6166, 26431, 4920, 25258, 470, 289, 478, 780, 730, 4395, 17, 4298, 486, 470, 6778, 13029, 6563, 2159, 6049, 4139, 5296, 334, 7413, 281, 4440, 12260, 16, 20839, 5024, 5981, 2109, 32253, 16942, 13070, 48830, 13949, 473, 19033, 484, 282, 18923, 478, 32485, 18, 48754, 11523, 365, 4810, 329, 6271, 18814, 36537, 289, 41626, 45205, 622, 18, 6831, 4601, 10561, 6271, 3989, 1791, 549, 510, 478, 26431, 4920, 25258, 910, 2056, 3407, 40372, 16586, 933, 7868, 18, 1012, 4610, 3626, 27497, 12652, 432, 9206, 282, 4301, 8547, 294, 28705, 21741, 9806, 282, 13822, 16, 1331, 263, 1124, 7069, 11001, 14770, 16, 18092, 478, 26431, 4920, 25258, 470, 294, 23255, 16178, 289, 32084, 11726, 617, 16, 13462, 282, 30680, 18, 365, 2630, 281, 48309, 21741, 30881, 9806, 282, 2801, 1045, 282, 9804, 14575, 10064, 6997, 13167, 416, 27118, 305, 3643, 17213, 16, 367, 1078, 2209, 349, 25388, 4696, 3281, 27118, 305, 10561, 22240, 906, 38947, 478, 26431, 4920, 25258, 861, 640, 25388, 13588, 28503, 918, 334, 27469, 16586, 933, 7868, 27118, 305, 3643, 10266, 9381, 281, 5049, 334, 3734, 1205, 32872, 17665, 411, 15046, 10059, 4055, 16, 22, 5096, 2791, 16, 515, 36992, 24552, 3243, 288, 700, 4262, 18, 365, 6031, 294, 4440, 1045, 639, 42406, 1223, 2239, 16, 28, 5096, 2791, 16, 1655, 428, 10835, 468, 3131, 1901, 45336, 349, 1500, 575, 2849, 26844, 1533, 16, 23, 5096, 2791, 18, 365, 3198, 24552, 13588, 28503, 918, 5186, 4688, 349, 2948, 10355, 289, 23232, 432, 4076, 2241, 16, 374, 13748, 294, 23255, 4103, 1161, 18477, 289, 13155, 266, 1876, 473, 3114, 16, 23, 5096, 2791, 309, 6398, 6705, 779, 814, 1268, 7019, 4103, 1161, 18477, 289, 13863, 45205, 617, 30121, 289, 6700, 48693, 18, 22271, 6439, 478, 684, 7088, 394, 910, 7346, 26922, 31946, 1605, 9827, 36154, 304, 13536, 17895, 31816, 1624, 510, 31565, 33615, 334, 8220, 15169, 360, 44958, 12565, 16, 367, 7265, 7614, 1525, 541, 2241, 1623, 722, 1158, 549, 26324, 4212, 33415, 13536, 17895, 31816, 18, 31946, 1605, 9827, 36154, 726, 11638, 13739, 478, 684, 7088, 344, 470, 478, 660, 4762, 470, 26942, 11819, 8764, 367, 470, 510, 478, 18306, 18496, 21482, 1428, 877, 910, 2686, 44409, 20635, 6406, 2089, 28510, 16, 48588, 1752, 309, 6335, 12237, 18496, 21482, 24546, 309, 5814, 2930, 553, 18, 832, 3225, 13739, 10845, 289, 4365, 1428, 877, 478, 9284, 472, 5607, 861, 478, 17603, 8275, 8232, 14938, 13500, 3281, 6059, 16, 289, 16, 1055, 49786, 6998, 290, 25754, 28827, 13486, 478, 684, 7088, 394, 910, 8296, 2241, 7006, 520, 24973, 487, 4803, 910, 510, 27081, 41330, 478, 27481, 1232, 470, 4210, 16825, 2895, 18, 365, 4599, 1888, 6271, 478, 275, 18809, 46194, 324, 470, 329, 14971, 764, 2619, 32528, 448, 37618, 18, 457, 40364, 17, 25, 289, 457, 40364, 17, 26, 473, 4931, 35014, 380, 318, 403, 11169, 4365, 1428, 877, 17514, 46853, 12887, 21145, 6778, 349, 4101, 1272, 779, 2957, 4030, 20809, 4103, 282, 491, 289, 816, 4570, 8774, 18, 16825, 2895, 10050, 16, 374, 457, 40364, 17, 25, 840, 10030, 13155, 20002, 282, 3941, 12448, 38305, 2087, 289, 1791, 3960, 2241, 18, 740, 309, 1497, 45194, 18806, 5768, 9466, 6049, 4139, 5510, 457, 40364, 17, 22, 1624, 1586, 282, 11130, 726, 2742, 4126, 48865, 28356, 5355, 43670, 309, 7512, 1061, 5096, 2791, 281, 3195, 21469, 15429, 4256, 1123, 1608, 49857, 309, 7512, 1032, 16, 27, 5096, 2791, 16, 2686, 9360, 16755, 1250, 2241, 29357, 1182, 478, 983, 40497, 3008, 14262, 470, 289, 11828, 478, 48604, 8554, 22636, 353, 470, 322, 22806, 281, 25237, 289, 13731, 38487, 2644, 48865, 18, 365, 21514, 1750, 48604, 895, 13079, 2678, 31752, 1634, 17085, 16, 282, 970, 2875, 289, 1248, 1551, 18, 4210, 16825, 2895, 10050, 16, 374, 13505, 37437, 25058, 31117, 6740, 46194, 324, 322, 8162, 14412, 10931, 541, 10326, 7997, 1378, 13588, 28503, 277, 16, 2391, 697, 25096, 46364, 840, 24960, 6836, 360, 15861, 8434, 37001, 18, 6831, 22912, 16447, 541, 12893, 34450, 7788, 24665, 622, 281, 22225, 536, 7590, 15273, 473, 22648, 662, 29159, 857, 37673, 541, 9779, 309, 5421, 1205, 16, 367, 37673, 541, 4186, 2921, 857, 282, 24515, 360, 29251, 814, 2949, 924, 16, 1698, 22876, 11035, 289, 281, 7095, 1330, 31869, 19322, 16, 2805, 329, 1110, 457, 40364, 16, 3279, 16684, 24560, 13588, 28503, 918, 371, 411, 315, 43107, 17213, 18, 30980, 289, 26659, 16, 11419, 281, 1218, 332, 464, 18975, 16, 961, 44100, 1061, 443, 2932, 9, 282, 9261, 15535, 1385, 457, 40364, 18, 36535, 6271, 11534, 26780, 1886, 282, 1750, 13029, 1443, 34902, 42488, 4096, 16, 1791, 281, 45958, 1330, 289, 7339, 3746, 281, 7896, 4026, 4838, 16, 46340, 6357, 2109, 32253, 16942, 13070, 48830, 13949, 10261, 25100, 46184, 18, 365, 1335, 4096, 2241, 1698, 34468, 477, 10556, 1134, 16, 374, 18491, 424, 25110, 26283, 45205, 622, 7243, 46533, 5842, 9206, 6997, 3521, 5122, 18, 5043, 16, 381, 2430, 331, 3963, 31117, 322, 19357, 16, 3387, 697, 5998, 15155, 281, 2341, 6726, 31869, 19322, 16, 11680, 34450, 18, 2, 1, 87, 1456, 81, 2448, 30, 1098, 578, 1952, 12654, 289, 13340, 30576, 16438, 282, 2792, 925, 11319, 1999, 4068, 10717, 4424, 1011, 34194, 718, 38836, 18, 640, 25909, 6677 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16876, 28220, 282, 9176, 356, 1919, 16, 1642, 558, 3979, 478, 30731, 350, 3015, 392, 470, 2901, 307, 460, 45361, 18, 8071, 37183, 432, 32657, 49778, 45468, 567, 7422, 44056, 16, 6177, 8440, 526, 309, 14540, 23253, 718, 1307, 28772, 2151, 3346, 14213, 3174, 16, 2401, 447, 7894, 282, 3178, 6566, 1879, 18, 11333, 7036, 942, 5298, 309, 7759, 7561, 9893, 1492, 2, 1, 87, 1456, 81, 2448, 30, 24785, 425, 8334, 15780, 30259, 408, 6271, 7786, 1067, 798, 690, 4455, 16, 16672, 15033, 2109, 32253, 16942, 13070, 48830, 13949, 18, 365, 2875, 1791, 432, 510, 37437, 14414, 457, 40364, 17, 22, 16, 457, 40364, 17, 25, 16, 478, 684, 7088, 287, 470, 289, 478, 26431, 4920, 25258, 910, 1718, 9930, 4601, 12886, 13961, 282, 13822, 18, 22271, 5869, 510, 27497, 12652, 432, 40311, 9206, 18, 44607, 4103, 2232, 31909, 895, 7869, 294, 7339, 6086, 281, 7896, 4026, 4838, 16, 424, 20129, 510, 15230, 13588, 28503, 277, 289, 28561, 31869, 19322, 18, 31224, 30, 730, 15550, 13257, 22509, 478, 275, 18809, 46194, 324, 470, 6166, 684, 7088, 287, 910, 457, 40364, 17, 26, 1624, 457, 40364, 17, 25, 25408, 367, 1038, 27118, 305, 10561, 6271, 6166, 26431, 4920, 25258, 470, 289, 478, 780, 730, 4395, 17, 4298, 486, 470, 6778, 13029, 6563, 2159, 6049, 4139, 5296, 334, 7413, 281, 4440, 12260, 16, 20839, 5024, 5981, 2109, 32253, 16942, 13070, 48830, 13949, 473, 19033, 484, 282, 18923, 478, 32485, 18, 48754, 11523, 365, 4810, 329, 6271, 18814, 36537, 289, 41626, 45205, 622, 18, 6831, 4601, 10561, 6271, 3989, 1791, 549, 510, 478, 26431, 4920, 25258, 910, 2056, 3407, 40372, 16586, 933, 7868, 18, 1012, 4610, 3626, 27497, 12652, 432, 9206, 282, 4301, 8547, 294, 28705, 21741, 9806, 282, 13822, 16, 1331, 263, 1124, 7069, 11001, 14770, 16, 18092, 478, 26431, 4920, 25258, 470, 294, 23255, 16178, 289, 32084, 11726, 617, 16, 13462, 282, 30680, 18, 365, 2630, 281, 48309, 21741, 30881, 9806, 282, 2801, 1045, 282, 9804, 14575, 10064, 6997, 13167, 416, 27118, 305, 3643, 17213, 16, 367, 1078, 2209, 349, 25388, 4696, 3281, 27118, 305, 10561, 22240, 906, 38947, 478, 26431, 4920, 25258, 861, 640, 25388, 13588, 28503, 918, 334, 27469, 16586, 933, 7868, 27118, 305, 3643, 10266, 9381, 281, 5049, 334, 3734, 1205, 32872, 17665, 411, 15046, 10059, 4055, 16, 22, 5096, 2791, 16, 515, 36992, 24552, 3243, 288, 700, 4262, 18, 365, 6031, 294, 4440, 1045, 639, 42406, 1223, 2239, 16, 28, 5096, 2791, 16, 1655, 428, 10835, 468, 3131, 1901, 45336, 349, 1500, 575, 2849, 26844, 1533, 16, 23, 5096, 2791, 18, 365, 3198, 24552, 13588, 28503, 918, 5186, 4688, 349, 2948, 10355, 289, 23232, 432, 4076, 2241, 16, 374, 13748, 294, 23255, 4103, 1161, 18477, 289, 13155, 266, 1876, 473, 3114, 16, 23, 5096, 2791, 309, 6398, 6705, 779, 814, 1268, 7019, 4103, 1161, 18477, 289, 13863, 45205, 617, 30121, 289, 6700, 48693, 18, 22271, 6439, 478, 684, 7088, 394, 910, 7346, 26922, 31946, 1605, 9827, 36154, 304, 13536, 17895, 31816, 1624, 510, 31565, 33615, 334, 8220, 15169, 360, 44958, 12565, 16, 367, 7265, 7614, 1525, 541, 2241, 1623, 722, 1158, 549, 26324, 4212, 33415, 13536, 17895, 31816, 18, 31946, 1605, 9827, 36154, 726, 11638, 13739, 478, 684, 7088, 344, 470, 478, 660, 4762, 470, 26942, 11819, 8764, 367, 470, 510, 478, 18306, 18496, 21482, 1428, 877, 910, 2686, 44409, 20635, 6406, 2089, 28510, 16, 48588, 1752, 309, 6335, 12237, 18496, 21482, 24546, 309, 5814, 2930, 553, 18, 832, 3225, 13739, 10845, 289, 4365, 1428, 877, 478, 9284, 472, 5607, 861, 478, 17603, 8275, 8232, 14938, 13500, 3281, 6059, 16, 289, 16, 1055, 49786, 6998, 290, 25754, 28827, 13486, 478, 684, 7088, 394, 910, 8296, 2241, 7006, 520, 24973, 487, 4803, 910, 510, 27081, 41330, 478, 27481, 1232, 470, 4210, 16825, 2895, 18, 365, 4599, 1888, 6271, 478, 275, 18809, 46194, 324, 470, 329, 14971, 764, 2619, 32528, 448, 37618, 18, 457, 40364, 17, 25, 289, 457, 40364, 17, 26, 473, 4931, 35014, 380, 318, 403, 11169, 4365, 1428, 877, 17514, 46853, 12887, 21145, 6778, 349, 4101, 1272, 779, 2957, 4030, 20809, 4103, 282, 491, 289, 816, 4570, 8774, 18, 16825, 2895, 10050, 16, 374, 457, 40364, 17, 25, 840, 10030, 13155, 20002, 282, 3941, 12448, 38305, 2087, 289, 1791, 3960, 2241, 18, 740, 309, 1497, 45194, 18806, 5768, 9466, 6049, 4139, 5510, 457, 40364, 17, 22, 1624, 1586, 282, 11130, 726, 2742, 4126, 48865, 28356, 5355, 43670, 309, 7512, 1061, 5096, 2791, 281, 3195, 21469, 15429, 4256, 1123, 1608, 49857, 309, 7512, 1032, 16, 27, 5096, 2791, 16, 2686, 9360, 16755, 1250, 2241, 29357, 1182, 478, 983, 40497, 3008, 14262, 470, 289, 11828, 478, 48604, 8554, 22636, 353, 470, 322, 22806, 281, 25237, 289, 13731, 38487, 2644, 48865, 18, 365, 21514, 1750, 48604, 895, 13079, 2678, 31752, 1634, 17085, 16, 282, 970, 2875, 289, 1248, 1551, 18, 4210, 16825, 2895, 10050, 16, 374, 13505, 37437, 25058, 31117, 6740, 46194, 324, 322, 8162, 14412, 10931, 541, 10326, 7997, 1378, 13588, 28503, 277, 16, 2391, 697, 25096, 46364, 840, 24960, 6836, 360, 15861, 8434, 37001, 18, 6831, 22912, 16447, 541, 12893, 34450, 7788, 24665, 622, 281, 22225, 536, 7590, 15273, 473, 22648, 662, 29159, 857, 37673, 541, 9779, 309, 5421, 1205, 16, 367, 37673, 541, 4186, 2921, 857, 282, 24515, 360, 29251, 814, 2949, 924, 16, 1698, 22876, 11035, 289, 281, 7095, 1330, 31869, 19322, 16, 2805, 329, 1110, 457, 40364, 16, 3279, 16684, 24560, 13588, 28503, 918, 371, 411, 315, 43107, 17213, 18, 30980, 289, 26659, 16, 11419, 281, 1218, 332, 464, 18975, 16, 961, 44100, 1061, 443, 2932, 9, 282, 9261, 15535, 1385, 457, 40364, 18, 36535, 6271, 11534, 26780, 1886, 282, 1750, 13029, 1443, 34902, 42488, 4096, 16, 1791, 281, 45958, 1330, 289, 7339, 3746, 281, 7896, 4026, 4838, 16, 46340, 6357, 2109, 32253, 16942, 13070, 48830, 13949, 10261, 25100, 46184, 18, 365, 1335, 4096, 2241, 1698, 34468, 477, 10556, 1134, 16, 374, 18491, 424, 25110, 26283, 45205, 622, 7243, 46533, 5842, 9206, 6997, 3521, 5122, 18, 5043, 16, 381, 2430, 331, 3963, 31117, 322, 19357, 16, 3387, 697, 5998, 15155, 281, 2341, 6726, 31869, 19322, 16, 11680, 34450, 18, 2, 1, 87, 1456, 81, 2448, 30, 1098, 578, 1952, 12654, 289, 13340, 30576, 16438, 282, 2792, 925, 11319, 1999, 4068, 10717, 4424, 1011, 34194, 718, 38836, 18, 640, 25909, 6677 ]
[ 10263, 22457, 22627, 11506, 38836, 1251, 30218, 289, 2145, 18, 31224, 30, 1098, 578, 1952, 30218, 18801, 40266, 49590, 268, 289, 13340, 30576, 38090, 35855, 599, 1540, 16438, 282, 2792, 925, 11319, 1999, 4068, 10717, 1251, 17986, 18, 41391, 31858, 639, 21394, 5790, 281, 12984, 2145, 5035, 433, 3663, 28565, 14928, 18, 4794, 9744, 2458, 13664, 353, 1251, 5037, 353, 1949, 2044, 281, 4238, 20420, 779, 18, 478, 25821, 15465, 10258, 7101, 883, 7544, 1054, 4869, 290, 24876, 378, 10517, 9152, 2266, 304, 680, 35138, 360, 4055, 4238, 16, 367, 1038, 290, 5941, 27842, 5743, 38836, 30218, 651, 2145, 910, 510, 3828, 3781, 17, 15975, 4830, 13340, 30576, 1614, 268, 27049, 268, 688, 17028, 18, 817, 1038, 5692, 16, 374, 5938, 4957, 869, 6086, 4546, 16, 38090, 35855, 599, 1540, 21269, 290, 28563, 9220, 1027, 5790, 5413, 13111, 2299, 18, 19065, 16, 374, 2615, 349, 4101, 1533, 986, 26896, 883, 583, 2952, 1251, 18801, 40266, 49590, 547, 289, 38090, 35855, 599, 459, 547, 12665, 4055, 4238, 18, 365, 3198, 906, 9565, 324, 378, 10517, 9152, 2266, 304, 1162, 31481, 783, 16, 282, 1754, 10750, 6025, 26665, 290, 21992, 16, 18798, 1285, 426, 1394, 1640, 16, 367, 1038, 3592, 763, 2422, 309, 2839, 1532, 1212, 34162, 18, 9114, 4419, 282, 1177, 575, 1119, 4770, 2145, 36176, 28565, 3828, 16, 374, 22154, 8643, 2304, 6676, 9744, 281, 30218, 290, 38508, 13957, 38836, 1251, 39578, 18, 35116, 8495, 492, 21949, 282, 3177, 43287, 18, 478, 4348, 1121, 339, 939, 2304, 6676, 9744, 281, 12654, 2839, 298, 355, 290, 22704, 294, 28705, 38836, 16, 1029, 16, 827, 475, 9040, 16, 840, 282, 37971, 864, 298, 282, 1500, 575, 1119, 16, 1912, 4209, 16, 289, 16, 827, 840, 2003, 16, 840, 1103, 637, 910, 510, 6463, 13205, 5222, 18, 817, 1038, 5692, 16, 374, 12019, 27081, 309, 4270, 516, 10927, 281, 18801, 40266, 49590, 547, 18, 36176, 28565, 294, 2222, 575, 18519, 15465, 30218, 7695, 2988, 24435, 975, 18, 967, 803, 28565, 42375, 39597, 16, 374, 33487, 39483, 16706, 478, 5162, 3450, 2678, 470, 14062, 49560, 18, 37451, 290, 970, 16, 374, 4765, 282, 37971, 864, 298, 16, 6517, 13438, 309, 1912, 4209, 16, 322, 9934, 16, 36176, 28565, 18946, 18801, 40266, 49590, 392, 3436, 3598, 18, 22324, 7792, 49101, 282, 1500, 575, 1119, 282, 43287, 23127, 1642, 18, 478, 1358, 939, 16547, 12981, 281, 4249, 18, 403, 6095, 16, 14517, 17282, 34218, 289, 28182, 16558, 622, 16, 3945, 10460, 282, 11104, 16876, 23032, 16, 417, 39337, 30092, 10386, 8197, 1314, 2089, 2944, 41673, 516, 10927, 910, 510, 639, 9921, 282, 14301, 360, 3946, 5035, 35109, 34031, 18, 5333, 2175, 16, 28565, 9600, 22646, 364, 8341, 349, 16734, 793, 5229, 583, 2952, 309, 30218, 16, 36389, 309, 7417, 3595, 10744, 49085, 522, 8582, 18, 967, 803, 282, 1177, 575, 1119, 30218, 3118, 5183, 345, 6406, 8711, 451, 2268, 5136, 282, 49085, 1152, 1484, 312, 18, 640, 803, 2268, 27007, 281, 5895, 334, 7847, 1205, 26727, 5270, 19071, 16, 282, 970, 2875, 27094, 33819, 416, 23694, 18, 5890, 309, 5421, 1119, 1011, 32362, 5790, 281, 21340, 30218, 18801, 40266, 49590, 547, 13205, 4770, 3828, 16, 374, 20664, 23990, 25045, 12026, 3003, 27652, 864, 2888, 20412, 281, 12654, 2839, 298, 355, 18, 478, 6904, 902, 4351, 16, 374, 840, 18, 2877, 656, 281, 2872, 6412, 2484, 910, 510, 4725, 28565, 18, 3529, 575, 492, 4424, 3828, 16, 374, 9650, 3626, 4419, 4765, 281, 18801, 40266, 49590, 547, 475, 764, 895, 34065, 18, 999, 2184, 1629, 979, 282, 1500, 575, 1119, 19886, 1078, 477, 1963, 30218, 18, 32529, 6677, 5211, 35392, 718, 21770, 4529, 18801, 24407, 528, 1736, 4725, 16, 374, 27964, 1162, 12483, 475, 764, 3957, 29441, 3361, 281, 11173, 16678, 289, 9013, 5848, 10927, 281, 43805, 23536, 282, 9681, 808, 289, 282, 6449, 19145, 18, 45235, 742, 1038, 9299, 16, 374, 29300, 2636, 360, 4111, 38836, 19889, 2891, 12654, 30576, 13363, 16, 475, 520, 9980, 8885, 541, 38609, 2150, 7080, 281, 11965, 5056, 8833, 2389, 745, 5824, 925, 18, 478, 2176, 466, 17117, 2048, 475, 22627, 541, 34782, 289, 28674, 567, 1514, 2968, 289, 309, 2839, 1532, 1212, 34162, 5702, 18599, 536, 16, 289, 656, 22654, 541, 924, 16, 753, 4751, 808, 289, 2678, 2145, 2994, 6781, 27763, 2094, 2159, 3003, 65, 910, 510, 42375, 39597, 18801, 24407, 528, 1736, 18, 7106, 16, 374, 4419, 16, 2261, 3598, 16, 8846, 16, 374, 49085, 522, 1231, 895, 10419, 360, 8465, 282, 583, 7972, 30218, 510, 2145, 18, 1367, 803, 3828, 2615, 9128, 6677, 11896, 30218, 18801, 6072, 528, 1736, 18, 35116, 8348, 639, 9245, 281, 15708, 1525, 12654, 30576, 5245, 9744, 477, 19297, 16, 1586, 16, 334, 722, 4734, 16, 7220, 10419, 360, 28481, 6617, 282, 29300, 1555, 4666, 18, 478, 34865, 1143, 322, 34063, 9744, 16, 961, 1747, 36972, 3300, 2530, 8475, 813, 282, 6421, 289, 11187, 282, 29300, 1555, 4666, 10419, 360, 3338, 37949, 29252, 910, 510, 2815, 23024, 18, 16577, 1272, 2299, 309, 1177, 2715, 22154, 18, 43884, 4770, 2815, 16, 374, 30536, 520, 14054, 718, 15465, 6420, 395, 2025, 22158, 347, 791, 322, 13894, 39602, 18801, 40266, 49590, 324, 282, 970, 1750, 16, 827, 492, 9196, 2285, 11033, 360, 28481, 6617, 18, 478, 16745, 16, 374, 4983, 281, 22158, 347, 791, 16, 639, 8397, 355, 2191, 19557, 18, 3397, 1574, 21113, 28648, 16, 827, 656, 322, 8865, 26087, 18, 1178, 8865, 26087, 510, 417, 3684, 16, 18801, 840, 939, 289, 939, 12950, 910, 510, 4725, 4770, 2145, 18, 817, 1038, 5692, 16, 374, 478, 326, 14054, 778, 21113, 470, 510, 481, 4521, 322, 502, 16, 1660, 37681, 25836, 11272, 360, 7080, 281, 30218, 18, 2, 1, 87, 1456, 81, 2448, 30, 4670, 21091, 763, 12712, 282, 3507, 1503, 39670, 1952, 15434, 12340, 41745, 18, 5181, 16, 39777, 870, 5642, 304, 263, 419, 2693, 289, 4702, 651, 282, 3198, 1503, 39670, 1952, 37675, 3440, 1713, 2198, 16, 515, 935, 289, 1177, 4982, 322, 1494, 30652, 484, 18, 31224, 30, 677, 9878, 17483, 2066, 17, 34122, 1314, 23803, 430, 5642, 304, 263, 462, 309, 8094, 16, 282, 4617, 4330, 4211, 17, 34122, 510, 322, 2619, 430, 16, 27, 5642, 304, 263, 419, 16, 367, 282, 18904, 432, 4617, 4330, 651, 428, 8396, 491, 5642, 304, 263, 419, 309, 8094, 18, 478, 563, 1134, 9427, 6773, 31163, 318, 282, 25215, 385, 8473, 672, 1408 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10263, 22457, 22627, 11506, 38836, 1251, 30218, 289, 2145, 18, 31224, 30, 1098, 578, 1952, 30218, 18801, 40266, 49590, 268, 289, 13340, 30576, 38090, 35855, 599, 1540, 16438, 282, 2792, 925, 11319, 1999, 4068, 10717, 1251, 17986, 18, 41391, 31858, 639, 21394, 5790, 281, 12984, 2145, 5035, 433, 3663, 28565, 14928, 18, 4794, 9744, 2458, 13664, 353, 1251, 5037, 353, 1949, 2044, 281, 4238, 20420, 779, 18, 478, 25821, 15465, 10258, 7101, 883, 7544, 1054, 4869, 290, 24876, 378, 10517, 9152, 2266, 304, 680, 35138, 360, 4055, 4238, 16, 367, 1038, 290, 5941, 27842, 5743, 38836, 30218, 651, 2145, 910, 510, 3828, 3781, 17, 15975, 4830, 13340, 30576, 1614, 268, 27049, 268, 688, 17028, 18, 817, 1038, 5692, 16, 374, 5938, 4957, 869, 6086, 4546, 16, 38090, 35855, 599, 1540, 21269, 290, 28563, 9220, 1027, 5790, 5413, 13111, 2299, 18, 19065, 16, 374, 2615, 349, 4101, 1533, 986, 26896, 883, 583, 2952, 1251, 18801, 40266, 49590, 547, 289, 38090, 35855, 599, 459, 547, 12665, 4055, 4238, 18, 365, 3198, 906, 9565, 324, 378, 10517, 9152, 2266, 304, 1162, 31481, 783, 16, 282, 1754, 10750, 6025, 26665, 290, 21992, 16, 18798, 1285, 426, 1394, 1640, 16, 367, 1038, 3592, 763, 2422, 309, 2839, 1532, 1212, 34162, 18, 9114, 4419, 282, 1177, 575, 1119, 4770, 2145, 36176, 28565, 3828, 16, 374, 22154, 8643, 2304, 6676, 9744, 281, 30218, 290, 38508, 13957, 38836, 1251, 39578, 18, 35116, 8495, 492, 21949, 282, 3177, 43287, 18, 478, 4348, 1121, 339, 939, 2304, 6676, 9744, 281, 12654, 2839, 298, 355, 290, 22704, 294, 28705, 38836, 16, 1029, 16, 827, 475, 9040, 16, 840, 282, 37971, 864, 298, 282, 1500, 575, 1119, 16, 1912, 4209, 16, 289, 16, 827, 840, 2003, 16, 840, 1103, 637, 910, 510, 6463, 13205, 5222, 18, 817, 1038, 5692, 16, 374, 12019, 27081, 309, 4270, 516, 10927, 281, 18801, 40266, 49590, 547, 18, 36176, 28565, 294, 2222, 575, 18519, 15465, 30218, 7695, 2988, 24435, 975, 18, 967, 803, 28565, 42375, 39597, 16, 374, 33487, 39483, 16706, 478, 5162, 3450, 2678, 470, 14062, 49560, 18, 37451, 290, 970, 16, 374, 4765, 282, 37971, 864, 298, 16, 6517, 13438, 309, 1912, 4209, 16, 322, 9934, 16, 36176, 28565, 18946, 18801, 40266, 49590, 392, 3436, 3598, 18, 22324, 7792, 49101, 282, 1500, 575, 1119, 282, 43287, 23127, 1642, 18, 478, 1358, 939, 16547, 12981, 281, 4249, 18, 403, 6095, 16, 14517, 17282, 34218, 289, 28182, 16558, 622, 16, 3945, 10460, 282, 11104, 16876, 23032, 16, 417, 39337, 30092, 10386, 8197, 1314, 2089, 2944, 41673, 516, 10927, 910, 510, 639, 9921, 282, 14301, 360, 3946, 5035, 35109, 34031, 18, 5333, 2175, 16, 28565, 9600, 22646, 364, 8341, 349, 16734, 793, 5229, 583, 2952, 309, 30218, 16, 36389, 309, 7417, 3595, 10744, 49085, 522, 8582, 18, 967, 803, 282, 1177, 575, 1119, 30218, 3118, 5183, 345, 6406, 8711, 451, 2268, 5136, 282, 49085, 1152, 1484, 312, 18, 640, 803, 2268, 27007, 281, 5895, 334, 7847, 1205, 26727, 5270, 19071, 16, 282, 970, 2875, 27094, 33819, 416, 23694, 18, 5890, 309, 5421, 1119, 1011, 32362, 5790, 281, 21340, 30218, 18801, 40266, 49590, 547, 13205, 4770, 3828, 16, 374, 20664, 23990, 25045, 12026, 3003, 27652, 864, 2888, 20412, 281, 12654, 2839, 298, 355, 18, 478, 6904, 902, 4351, 16, 374, 840, 18, 2877, 656, 281, 2872, 6412, 2484, 910, 510, 4725, 28565, 18, 3529, 575, 492, 4424, 3828, 16, 374, 9650, 3626, 4419, 4765, 281, 18801, 40266, 49590, 547, 475, 764, 895, 34065, 18, 999, 2184, 1629, 979, 282, 1500, 575, 1119, 19886, 1078, 477, 1963, 30218, 18, 32529, 6677, 5211, 35392, 718, 21770, 4529, 18801, 24407, 528, 1736, 4725, 16, 374, 27964, 1162, 12483, 475, 764, 3957, 29441, 3361, 281, 11173, 16678, 289, 9013, 5848, 10927, 281, 43805, 23536, 282, 9681, 808, 289, 282, 6449, 19145, 18, 45235, 742, 1038, 9299, 16, 374, 29300, 2636, 360, 4111, 38836, 19889, 2891, 12654, 30576, 13363, 16, 475, 520, 9980, 8885, 541, 38609, 2150, 7080, 281, 11965, 5056, 8833, 2389, 745, 5824, 925, 18, 478, 2176, 466, 17117, 2048, 475, 22627, 541, 34782, 289, 28674, 567, 1514, 2968, 289, 309, 2839, 1532, 1212, 34162, 5702, 18599, 536, 16, 289, 656, 22654, 541, 924, 16, 753, 4751, 808, 289, 2678, 2145, 2994, 6781, 27763, 2094, 2159, 3003, 65, 910, 510, 42375, 39597, 18801, 24407, 528, 1736, 18, 7106, 16, 374, 4419, 16, 2261, 3598, 16, 8846, 16, 374, 49085, 522, 1231, 895, 10419, 360, 8465, 282, 583, 7972, 30218, 510, 2145, 18, 1367, 803, 3828, 2615, 9128, 6677, 11896, 30218, 18801, 6072, 528, 1736, 18, 35116, 8348, 639, 9245, 281, 15708, 1525, 12654, 30576, 5245, 9744, 477, 19297, 16, 1586, 16, 334, 722, 4734, 16, 7220, 10419, 360, 28481, 6617, 282, 29300, 1555, 4666, 18, 478, 34865, 1143, 322, 34063, 9744, 16, 961, 1747, 36972, 3300, 2530, 8475, 813, 282, 6421, 289, 11187, 282, 29300, 1555, 4666, 10419, 360, 3338, 37949, 29252, 910, 510, 2815, 23024, 18, 16577, 1272, 2299, 309, 1177, 2715, 22154, 18, 43884, 4770, 2815, 16, 374, 30536, 520, 14054, 718, 15465, 6420, 395, 2025, 22158, 347, 791, 322, 13894, 39602, 18801, 40266, 49590, 324, 282, 970, 1750, 16, 827, 492, 9196, 2285, 11033, 360, 28481, 6617, 18, 478, 16745, 16, 374, 4983, 281, 22158, 347, 791, 16, 639, 8397, 355, 2191, 19557, 18, 3397, 1574, 21113, 28648, 16, 827, 656, 322, 8865, 26087, 18, 1178, 8865, 26087, 510, 417, 3684, 16, 18801, 840, 939, 289, 939, 12950, 910, 510, 4725, 4770, 2145, 18, 817, 1038, 5692, 16, 374, 478, 326, 14054, 778, 21113, 470, 510, 481, 4521, 322, 502, 16, 1660, 37681, 25836, 11272, 360, 7080, 281, 30218, 18, 2, 1, 87, 1456, 81, 2448, 30, 4670, 21091, 763, 12712, 282, 3507, 1503, 39670, 1952, 15434, 12340, 41745, 18, 5181, 16, 39777, 870, 5642, 304, 263, 419, 2693, 289, 4702, 651, 282, 3198, 1503, 39670, 1952, 37675, 3440, 1713, 2198, 16, 515, 935, 289, 1177, 4982, 322, 1494, 30652, 484, 18, 31224, 30, 677, 9878, 17483, 2066, 17, 34122, 1314, 23803, 430, 5642, 304, 263, 462, 309, 8094, 16, 282, 4617, 4330, 4211, 17, 34122, 510, 322, 2619, 430, 16, 27, 5642, 304, 263, 419, 16, 367, 282, 18904, 432, 4617, 4330, 651, 428, 8396, 491, 5642, 304, 263, 419, 309, 8094, 18, 478, 563, 1134, 9427, 6773, 31163, 318, 282, 25215, 385, 8473, 672, 1408 ]
[ 289, 25457, 292, 5439, 9261, 12466, 473, 11838, 16, 6159, 1924, 33793, 14471, 814, 365, 7252, 3580, 895, 17183, 1595, 15497, 16, 2024, 1943, 31948, 1503, 39670, 320, 371, 12875, 8292, 1053, 2931, 486, 282, 3942, 304, 27989, 18, 5161, 16, 282, 1345, 345, 13897, 3400, 5642, 304, 2188, 289, 12537, 2993, 24488, 47856, 430, 30, 21, 910, 510, 41988, 9810, 4926, 447, 5101, 1624, 6187, 46561, 15352, 10127, 79, 15746, 13949, 18, 967, 14885, 9578, 17374, 25275, 19385, 6951, 322, 1698, 42042, 5693, 11670, 41745, 309, 2923, 5115, 18, 824, 25036, 2241, 478, 19059, 312, 748, 12148, 293, 910, 9345, 536, 1053, 2931, 3924, 282, 3507, 2341, 4684, 45583, 5906, 9206, 2066, 17, 34122, 384, 19373, 9, 473, 4234, 15628, 814, 9712, 843, 1063, 4347, 2346, 343, 12731, 8087, 282, 11166, 9, 9206, 473, 27, 15628, 934, 18437, 536, 1053, 2931, 3924, 9727, 8171, 11114, 9, 7868, 473, 26, 15628, 814, 6682, 924, 16, 3888, 15628, 13134, 2625, 4933, 334, 1272, 6974, 41745, 18, 996, 16, 294, 7555, 16, 282, 15628, 478, 3127, 1394, 873, 315, 470, 289, 478, 789, 1994, 6094, 2743, 470, 1718, 1886, 18437, 549, 289, 9345, 549, 41745, 16, 367, 282, 15628, 478, 48, 6685, 4059, 313, 1162, 470, 289, 282, 15628, 478, 12936, 12038, 778, 470, 12350, 603, 2074, 49335, 1053, 2931, 297, 289, 18437, 668, 9888, 27953, 15772, 454, 18, 2046, 16, 4813, 309, 8881, 14114, 368, 16, 6127, 2232, 2341, 22695, 5115, 5642, 304, 263, 5364, 5702, 16, 428, 5429, 16, 4803, 14471, 18, 478, 563, 402, 2636, 2341, 22695, 41219, 5642, 304, 263, 5364, 282, 40780, 2570, 2021, 1165, 473, 7122, 17, 289, 20201, 17, 24285, 13, 4896, 1314, 2239, 16, 16492, 5642, 304, 263, 419, 309, 8094, 16, 282, 2570, 2021, 1165, 4211, 17, 34122, 651, 430, 16, 7536, 5642, 304, 263, 419, 18, 5333, 2175, 16, 43051, 6730, 281, 1053, 2931, 3924, 942, 22129, 428, 25799, 14114, 10903, 1801, 910, 510, 45670, 18165, 6187, 2241, 478, 4649, 1605, 8513, 17, 11609, 9076, 470, 36735, 23888, 3583, 18, 6193, 39670, 1952, 2838, 289, 14322, 12340, 1053, 2931, 607, 16, 2686, 541, 1129, 481, 1461, 350, 36124, 451, 4211, 281, 3511, 3570, 3286, 7771, 7446, 18, 1789, 5101, 304, 263, 419, 16605, 23274, 35069, 651, 3964, 322, 475, 6720, 873, 6696, 670, 1698, 697, 13501, 16, 2391, 329, 1503, 310, 9165, 16, 428, 5429, 16, 1494, 5702, 322, 13077, 679, 3359, 29851, 18, 478, 677, 4617, 4330, 10427, 2898, 4593, 38288, 13037, 5106, 453, 16, 374, 1176, 1135, 42096, 1833, 491, 17, 23, 7428, 309, 14597, 289, 30552, 697, 18, 15060, 16, 374, 309, 3441, 11334, 2702, 430, 17, 22, 5642, 304, 263, 419, 18, 740, 329, 19385, 7336, 309, 870, 816, 7428, 7997, 1569, 1286, 5642, 304, 2188, 18, 459, 374, 975, 2240, 281, 2872, 35, 629, 2060, 13228, 16, 785, 282, 34183, 4211, 17, 289, 6336, 748, 17, 34122, 360, 14818, 19385, 7336, 371, 3417, 9, 17, 416, 7446, 12537, 8477, 322, 13077, 679, 9471, 519, 3610, 9, 5642, 304, 2188, 18, 365, 3198, 16, 1503, 39670, 1952, 14322, 4619, 309, 6911, 7644, 6620, 16, 289, 1215, 1373, 726, 8486, 478, 18467, 264, 659, 861, 999, 2021, 6951, 31518, 7428, 282, 27989, 281, 5642, 304, 263, 5364, 16, 12530, 29753, 697, 282, 17123, 21084, 24213, 25275, 18, 3428, 575, 15032, 1585, 4151, 15628, 13848, 7746, 4211, 2654, 329, 1642, 651, 5529, 1293, 5642, 304, 2188, 289, 11584, 36038, 1122, 1784, 323, 454, 18, 365, 4784, 16, 13500, 7566, 910, 510, 10662, 8909, 8402, 28410, 2135, 1624, 18165, 6187, 2241, 478, 19059, 312, 748, 12148, 293, 861, 824, 25036, 727, 4395, 478, 1098, 12397, 910, 827, 7428, 282, 2570, 2021, 582, 30652, 318, 309, 6459, 7418, 502, 14114, 343, 349, 481, 575, 808, 651, 687, 309, 2555, 5999, 23868, 408, 17605, 14114, 343, 15423, 687, 309, 10649, 10204, 7428, 18, 478, 5786, 14191, 8094, 16, 3333, 37598, 41522, 687, 12890, 281, 37439, 41745, 309, 2923, 10139, 18, 2046, 10353, 745, 38199, 360, 13913, 5642, 304, 263, 419, 18, 5257, 374, 334, 10811, 2650, 3716, 3077, 268, 17148, 18202, 764, 2059, 6299, 282, 8303, 2066, 17, 34122, 18, 2876, 745, 1882, 3483, 530, 8094, 16699, 16, 367, 12773, 2998, 1747, 567, 8878, 910, 510, 41988, 7785, 2403, 6187, 727, 4395, 478, 1098, 12397, 470, 18223, 3918, 552, 2576, 18, 14501, 16, 2197, 411, 4284, 25267, 18834, 20813, 14114, 10903, 1801, 651, 697, 19456, 20159, 6134, 18, 824, 25036, 2241, 478, 19059, 312, 748, 12148, 293, 910, 6134, 2223, 282, 18437, 547, 1053, 2931, 1484, 8486, 360, 13671, 17, 40756, 4500, 18, 2791, 16, 9345, 547, 510, 360, 430, 3763, 18, 2791, 18, 365, 4301, 2059, 41745, 6134, 5642, 304, 2188, 840, 6368, 13234, 18, 27489, 22290, 6279, 289, 36180, 14251, 282, 9345, 547, 1053, 2931, 1484, 840, 502, 16, 2486, 28038, 309, 34258, 5066, 16, 15953, 33496, 670, 46381, 18, 478, 9676, 331, 8557, 9345, 434, 1053, 2931, 486, 651, 322, 11483, 1790, 9720, 16, 2552, 49335, 11386, 15341, 18437, 434, 8396, 282, 430, 16, 25, 4570, 18, 4707, 648, 16, 1029, 656, 10258, 2496, 3338, 17605, 16, 7846, 16, 374, 5906, 411, 1129, 6354, 18692, 322, 1033, 6957, 4500, 18, 2791, 18, 26514, 5642, 304, 2188, 309, 5814, 2500, 16, 745, 15379, 687, 282, 17374, 4617, 4330, 282, 3772, 547, 2898, 12077, 41495, 910, 510, 2548, 36735, 23888, 3583, 18, 2046, 17899, 5642, 304, 263, 419, 16219, 670, 29753, 697, 282, 17123, 510, 19385, 21861, 6327, 4581, 18, 478, 6014, 14820, 4750, 16, 374, 5642, 304, 263, 419, 39777, 2693, 18, 2255, 541, 2616, 322, 8120, 16, 374, 282, 3507, 3253, 6020, 2353, 10728, 18, 1012, 14191, 49335, 865, 1053, 2931, 486, 16, 37141, 3030, 2024, 1320, 2702, 14113, 16, 1503, 310, 9165, 277, 6110, 25840, 15088, 12778, 309, 5642, 304, 263, 419, 371, 13486, 16, 374, 289, 39142, 697, 45958, 622, 910, 510, 2548, 9216, 22029, 346, 5500, 2241, 35866, 17, 69, 17, 56, 980, 14179, 12067, 523, 18, 27727, 41745, 14426, 322, 16182, 309, 6134, 7428, 282, 4122, 18, 478, 682, 414, 2624, 670, 7814, 41745, 282, 3942, 304, 27989, 14426, 322, 35403, 309, 8990, 12537, 18, 2046, 1177, 20251, 282, 32928, 281, 4778, 16182, 309, 8462, 23937, 10139, 16, 374, 16, 282, 1423, 3678, 16, 16182, 309, 12778, 910, 510, 2548, 12975, 22330, 22686, 1624 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25457, 292, 5439, 9261, 12466, 473, 11838, 16, 6159, 1924, 33793, 14471, 814, 365, 7252, 3580, 895, 17183, 1595, 15497, 16, 2024, 1943, 31948, 1503, 39670, 320, 371, 12875, 8292, 1053, 2931, 486, 282, 3942, 304, 27989, 18, 5161, 16, 282, 1345, 345, 13897, 3400, 5642, 304, 2188, 289, 12537, 2993, 24488, 47856, 430, 30, 21, 910, 510, 41988, 9810, 4926, 447, 5101, 1624, 6187, 46561, 15352, 10127, 79, 15746, 13949, 18, 967, 14885, 9578, 17374, 25275, 19385, 6951, 322, 1698, 42042, 5693, 11670, 41745, 309, 2923, 5115, 18, 824, 25036, 2241, 478, 19059, 312, 748, 12148, 293, 910, 9345, 536, 1053, 2931, 3924, 282, 3507, 2341, 4684, 45583, 5906, 9206, 2066, 17, 34122, 384, 19373, 9, 473, 4234, 15628, 814, 9712, 843, 1063, 4347, 2346, 343, 12731, 8087, 282, 11166, 9, 9206, 473, 27, 15628, 934, 18437, 536, 1053, 2931, 3924, 9727, 8171, 11114, 9, 7868, 473, 26, 15628, 814, 6682, 924, 16, 3888, 15628, 13134, 2625, 4933, 334, 1272, 6974, 41745, 18, 996, 16, 294, 7555, 16, 282, 15628, 478, 3127, 1394, 873, 315, 470, 289, 478, 789, 1994, 6094, 2743, 470, 1718, 1886, 18437, 549, 289, 9345, 549, 41745, 16, 367, 282, 15628, 478, 48, 6685, 4059, 313, 1162, 470, 289, 282, 15628, 478, 12936, 12038, 778, 470, 12350, 603, 2074, 49335, 1053, 2931, 297, 289, 18437, 668, 9888, 27953, 15772, 454, 18, 2046, 16, 4813, 309, 8881, 14114, 368, 16, 6127, 2232, 2341, 22695, 5115, 5642, 304, 263, 5364, 5702, 16, 428, 5429, 16, 4803, 14471, 18, 478, 563, 402, 2636, 2341, 22695, 41219, 5642, 304, 263, 5364, 282, 40780, 2570, 2021, 1165, 473, 7122, 17, 289, 20201, 17, 24285, 13, 4896, 1314, 2239, 16, 16492, 5642, 304, 263, 419, 309, 8094, 16, 282, 2570, 2021, 1165, 4211, 17, 34122, 651, 430, 16, 7536, 5642, 304, 263, 419, 18, 5333, 2175, 16, 43051, 6730, 281, 1053, 2931, 3924, 942, 22129, 428, 25799, 14114, 10903, 1801, 910, 510, 45670, 18165, 6187, 2241, 478, 4649, 1605, 8513, 17, 11609, 9076, 470, 36735, 23888, 3583, 18, 6193, 39670, 1952, 2838, 289, 14322, 12340, 1053, 2931, 607, 16, 2686, 541, 1129, 481, 1461, 350, 36124, 451, 4211, 281, 3511, 3570, 3286, 7771, 7446, 18, 1789, 5101, 304, 263, 419, 16605, 23274, 35069, 651, 3964, 322, 475, 6720, 873, 6696, 670, 1698, 697, 13501, 16, 2391, 329, 1503, 310, 9165, 16, 428, 5429, 16, 1494, 5702, 322, 13077, 679, 3359, 29851, 18, 478, 677, 4617, 4330, 10427, 2898, 4593, 38288, 13037, 5106, 453, 16, 374, 1176, 1135, 42096, 1833, 491, 17, 23, 7428, 309, 14597, 289, 30552, 697, 18, 15060, 16, 374, 309, 3441, 11334, 2702, 430, 17, 22, 5642, 304, 263, 419, 18, 740, 329, 19385, 7336, 309, 870, 816, 7428, 7997, 1569, 1286, 5642, 304, 2188, 18, 459, 374, 975, 2240, 281, 2872, 35, 629, 2060, 13228, 16, 785, 282, 34183, 4211, 17, 289, 6336, 748, 17, 34122, 360, 14818, 19385, 7336, 371, 3417, 9, 17, 416, 7446, 12537, 8477, 322, 13077, 679, 9471, 519, 3610, 9, 5642, 304, 2188, 18, 365, 3198, 16, 1503, 39670, 1952, 14322, 4619, 309, 6911, 7644, 6620, 16, 289, 1215, 1373, 726, 8486, 478, 18467, 264, 659, 861, 999, 2021, 6951, 31518, 7428, 282, 27989, 281, 5642, 304, 263, 5364, 16, 12530, 29753, 697, 282, 17123, 21084, 24213, 25275, 18, 3428, 575, 15032, 1585, 4151, 15628, 13848, 7746, 4211, 2654, 329, 1642, 651, 5529, 1293, 5642, 304, 2188, 289, 11584, 36038, 1122, 1784, 323, 454, 18, 365, 4784, 16, 13500, 7566, 910, 510, 10662, 8909, 8402, 28410, 2135, 1624, 18165, 6187, 2241, 478, 19059, 312, 748, 12148, 293, 861, 824, 25036, 727, 4395, 478, 1098, 12397, 910, 827, 7428, 282, 2570, 2021, 582, 30652, 318, 309, 6459, 7418, 502, 14114, 343, 349, 481, 575, 808, 651, 687, 309, 2555, 5999, 23868, 408, 17605, 14114, 343, 15423, 687, 309, 10649, 10204, 7428, 18, 478, 5786, 14191, 8094, 16, 3333, 37598, 41522, 687, 12890, 281, 37439, 41745, 309, 2923, 10139, 18, 2046, 10353, 745, 38199, 360, 13913, 5642, 304, 263, 419, 18, 5257, 374, 334, 10811, 2650, 3716, 3077, 268, 17148, 18202, 764, 2059, 6299, 282, 8303, 2066, 17, 34122, 18, 2876, 745, 1882, 3483, 530, 8094, 16699, 16, 367, 12773, 2998, 1747, 567, 8878, 910, 510, 41988, 7785, 2403, 6187, 727, 4395, 478, 1098, 12397, 470, 18223, 3918, 552, 2576, 18, 14501, 16, 2197, 411, 4284, 25267, 18834, 20813, 14114, 10903, 1801, 651, 697, 19456, 20159, 6134, 18, 824, 25036, 2241, 478, 19059, 312, 748, 12148, 293, 910, 6134, 2223, 282, 18437, 547, 1053, 2931, 1484, 8486, 360, 13671, 17, 40756, 4500, 18, 2791, 16, 9345, 547, 510, 360, 430, 3763, 18, 2791, 18, 365, 4301, 2059, 41745, 6134, 5642, 304, 2188, 840, 6368, 13234, 18, 27489, 22290, 6279, 289, 36180, 14251, 282, 9345, 547, 1053, 2931, 1484, 840, 502, 16, 2486, 28038, 309, 34258, 5066, 16, 15953, 33496, 670, 46381, 18, 478, 9676, 331, 8557, 9345, 434, 1053, 2931, 486, 651, 322, 11483, 1790, 9720, 16, 2552, 49335, 11386, 15341, 18437, 434, 8396, 282, 430, 16, 25, 4570, 18, 4707, 648, 16, 1029, 656, 10258, 2496, 3338, 17605, 16, 7846, 16, 374, 5906, 411, 1129, 6354, 18692, 322, 1033, 6957, 4500, 18, 2791, 18, 26514, 5642, 304, 2188, 309, 5814, 2500, 16, 745, 15379, 687, 282, 17374, 4617, 4330, 282, 3772, 547, 2898, 12077, 41495, 910, 510, 2548, 36735, 23888, 3583, 18, 2046, 17899, 5642, 304, 263, 419, 16219, 670, 29753, 697, 282, 17123, 510, 19385, 21861, 6327, 4581, 18, 478, 6014, 14820, 4750, 16, 374, 5642, 304, 263, 419, 39777, 2693, 18, 2255, 541, 2616, 322, 8120, 16, 374, 282, 3507, 3253, 6020, 2353, 10728, 18, 1012, 14191, 49335, 865, 1053, 2931, 486, 16, 37141, 3030, 2024, 1320, 2702, 14113, 16, 1503, 310, 9165, 277, 6110, 25840, 15088, 12778, 309, 5642, 304, 263, 419, 371, 13486, 16, 374, 289, 39142, 697, 45958, 622, 910, 510, 2548, 9216, 22029, 346, 5500, 2241, 35866, 17, 69, 17, 56, 980, 14179, 12067, 523, 18, 27727, 41745, 14426, 322, 16182, 309, 6134, 7428, 282, 4122, 18, 478, 682, 414, 2624, 670, 7814, 41745, 282, 3942, 304, 27989, 14426, 322, 35403, 309, 8990, 12537, 18, 2046, 1177, 20251, 282, 32928, 281, 4778, 16182, 309, 8462, 23937, 10139, 16, 374, 16, 282, 1423, 3678, 16, 16182, 309, 12778, 910, 510, 2548, 12975, 22330, 22686, 1624 ]
[ 18165, 6187, 21770, 3127, 651, 10418, 1384, 3030, 473, 40364, 478, 4649, 3127, 11523, 459, 475, 575, 13228, 16, 785, 8881, 48054, 14114, 10903, 1801, 282, 15628, 8671, 16182, 309, 12778, 7428, 282, 1169, 16, 309, 2456, 2463, 15379, 30, 753, 25601, 11608, 309, 7955, 41745, 16, 19385, 28090, 3891, 6110, 4619, 309, 12111, 382, 16, 26607, 12778, 12712, 18, 478, 9676, 331, 649, 1053, 2931, 297, 16, 3118, 17111, 411, 9427, 31892, 510, 32196, 541, 19385, 7336, 939, 17101, 315, 18, 999, 2021, 28090, 6110, 5978, 23144, 1251, 20921, 761, 5115, 289, 26005, 473, 1369, 20740, 14114, 368, 510, 478, 18386, 18, 8381, 12235, 2391, 16, 428, 5429, 16, 14114, 10903, 1801, 25484, 847, 3440, 18, 20012, 5685, 516, 2245, 42049, 14114, 368, 16, 19385, 6951, 1698, 590, 10588, 13373, 8984, 2301, 1634, 14600, 334, 1335, 2095, 309, 6134, 12537, 910, 510, 2548, 18223, 3918, 552, 2576, 18, 2, 1, 87, 1456, 81, 2448, 30, 26431, 368, 2422, 334, 33563, 2675, 282, 40417, 4167, 15420, 32451, 309, 4905, 18, 7635, 1947, 4466, 11152, 1269, 2020, 19677, 49338, 712, 16, 367, 1038, 15506, 281, 12070, 2236, 411, 7941, 20892, 1356, 18, 49262, 2868, 14452, 726, 10487, 16, 289, 20791, 322, 5072, 759, 887, 22443, 9163, 7620, 11970, 1678, 7483, 28799, 727, 8283, 992, 16, 6895, 4027, 2422, 9020, 392, 507, 12995, 41721, 289, 11350, 17, 1313, 11562, 9001, 403, 2381, 837, 18, 31224, 30, 16969, 416, 29511, 2206, 14378, 1559, 10212, 4027, 2422, 9020, 392, 507, 12995, 41721, 282, 430, 19, 3902, 21451, 18, 19597, 46787, 282, 4056, 4623, 6054, 35150, 13270, 21988, 360, 32137, 336, 18573, 5983, 5967, 6606, 385, 1231, 283, 675, 18, 33283, 16, 515, 17966, 2110, 5603, 297, 12995, 5945, 37309, 271, 14075, 282, 8254, 572, 301, 293, 7507, 16, 785, 11803, 18124, 3637, 6797, 324, 349, 1871, 772, 2300, 1172, 289, 752, 16, 867, 3818, 45715, 743, 8686, 4027, 18, 12995, 5945, 10117, 5199, 428, 537, 282, 828, 322, 14408, 289, 282, 6031, 7757, 424, 9258, 4833, 17285, 21755, 18, 11662, 14456, 7941, 20892, 285, 2422, 13749, 2159, 13270, 726, 282, 5773, 17536, 616, 416, 6688, 18, 2112, 12813, 16149, 8653, 18, 11420, 586, 75, 21, 15, 16, 282, 1750, 733, 3831, 568, 339, 5764, 6651, 16, 772, 2356, 16149, 30124, 17858, 20452, 282, 8927, 848, 18, 1178, 575, 322, 7099, 16634, 16, 502, 1174, 4973, 5764, 1042, 13807, 309, 367, 21, 18, 640, 5421, 1119, 12995, 5945, 16, 38800, 22223, 16, 44198, 475, 19435, 8885, 541, 924, 16, 753, 8782, 844, 506, 16, 9327, 1293, 22711, 4858, 10234, 16, 515, 385, 1231, 283, 675, 11347, 6993, 7026, 289, 689, 310, 15958, 294, 537, 2607, 1147, 1619, 552, 18, 640, 803, 17325, 49338, 712, 282, 40417, 322, 3227, 18238, 18, 42187, 7941, 20892, 285, 1175, 4137, 403, 2381, 742, 35150, 13270, 282, 10021, 750, 281, 3285, 3347, 7913, 339, 6061, 1616, 635, 18, 365, 2615, 1119, 430, 19, 3902, 21451, 403, 2381, 742, 16480, 281, 7739, 2409, 48372, 22223, 289, 3619, 2990, 3631, 382, 16, 2686, 10230, 773, 322, 10587, 18, 41344, 403, 2381, 742, 510, 6061, 15512, 2756, 3453, 31893, 289, 18987, 282, 41386, 1119, 14452, 18, 27252, 320, 1157, 20908, 26214, 3331, 12832, 43365, 282, 34438, 301, 293, 7507, 16, 282, 2114, 2207, 28410, 45300, 271, 18952, 5539, 18, 2112, 12911, 17, 361, 12813, 16149, 2418, 17, 295, 14007, 2422, 4167, 282, 749, 41214, 547, 9524, 510, 492, 30124, 17858, 42495, 772, 3724, 737, 24, 16, 1660, 289, 1146, 17451, 2518, 11956, 13759, 2661, 6061, 15512, 18, 365, 15614, 6031, 403, 2381, 742, 11189, 685, 11211, 13270, 1011, 24110, 17, 361, 12813, 16, 785, 329, 16149, 726, 639, 1871, 21296, 772, 2300, 16, 289, 42284, 2059, 411, 1129, 282, 8927, 2131, 8945, 639, 726, 4385, 18, 740, 289, 13270, 403, 2381, 837, 322, 2438, 12651, 45810, 2236, 411, 49338, 712, 18, 39025, 1151, 14929, 1815, 1907, 3405, 17, 7745, 9805, 336, 18573, 29642, 4137, 5819, 16460, 512, 13060, 3389, 11202, 7941, 20892, 419, 2145, 16, 11346, 343, 2989, 43829, 28799, 727, 8283, 992, 1624, 768, 3245, 344, 5191, 34972, 344, 16, 5076, 8876, 396, 4030, 428, 8396, 2019, 282, 23708, 300, 18, 1178, 6061, 15512, 282, 4623, 281, 403, 2381, 2409, 13504, 3331, 5862, 23485, 269, 16, 502, 5819, 16460, 512, 40393, 47074, 453, 7376, 10060, 18, 5890, 282, 20330, 464, 309, 7192, 4019, 8954, 47143, 7236, 6797, 324, 289, 13657, 349, 5764, 957, 289, 772, 3724, 21755, 18, 32594, 1183, 31999, 16, 374, 1871, 18368, 14298, 7081, 5764, 6651, 16, 515, 17959, 9397, 712, 455, 5065, 16634, 16, 1586, 282, 6031, 3118, 965, 5828, 5279, 18, 365, 8254, 572, 301, 293, 7507, 5819, 16460, 512, 445, 503, 1738, 479, 1970, 289, 6088, 281, 12181, 568, 339, 16, 2686, 2564, 6125, 1190, 2913, 668, 2972, 668, 772, 3724, 309, 5625, 352, 18, 403, 2856, 38592, 685, 4726, 322, 2259, 18, 365, 10130, 16, 18393, 2617, 15649, 14298, 309, 6212, 778, 47702, 289, 5500, 5622, 9935, 13657, 16, 47143, 2196, 300, 5191, 34972, 344, 334, 27269, 289, 24392, 289, 8782, 27420, 3441, 19736, 16, 47654, 281, 46319, 23330, 289, 726, 36950, 4336, 5681, 772, 11089, 18, 365, 1335, 4096, 29724, 639, 726, 27699, 16, 289, 13205, 336, 18573, 29642, 41026, 11297, 12632, 18, 9873, 5819, 397, 29755, 1624, 282, 430, 19, 28, 14452, 1196, 2602, 26062, 7753, 385, 1517, 3327, 289, 41490, 13564, 291, 1624, 13060, 447, 1779, 16307, 4419, 11088, 2776, 274, 8053, 18, 2112, 10504, 2868, 20665, 322, 5072, 759, 2444, 726, 43734, 12525, 411, 11970, 1678, 7483, 510, 12995, 41721, 16, 403, 2381, 837, 16, 5191, 34972, 394, 16, 367, 1038, 5014, 301, 10516, 10542, 10160, 324, 347, 289, 19792, 1183, 287, 14543, 383, 1042, 756, 16, 387, 919, 2339, 764, 309, 12159, 430, 19, 8976, 21451, 18, 504, 19182, 11247, 5199, 3725, 7941, 20892, 1356, 309, 36976, 2422, 1768, 25688, 16987, 15506, 282, 32055, 1119, 19702, 281, 12070, 531, 10805, 14769, 13009, 30514, 28468, 512, 367, 16, 16307, 3255, 4733, 20202, 281, 14452, 1760, 17, 361, 4027, 2422, 5014, 301, 10516, 10542, 439, 7769, 347, 18, 28468, 512, 1943, 685, 6281, 282, 430, 19, 3902, 21451, 281, 14647, 1079, 25937, 6729, 304, 4280, 12344, 547, 18, 2046, 1248, 1760, 1879, 1011, 2742, 697, 4623, 282, 41379, 10357, 707, 7415, 16525, 4280, 30058, 6605, 478, 1383, 2016, 910, 44733 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18165, 6187, 21770, 3127, 651, 10418, 1384, 3030, 473, 40364, 478, 4649, 3127, 11523, 459, 475, 575, 13228, 16, 785, 8881, 48054, 14114, 10903, 1801, 282, 15628, 8671, 16182, 309, 12778, 7428, 282, 1169, 16, 309, 2456, 2463, 15379, 30, 753, 25601, 11608, 309, 7955, 41745, 16, 19385, 28090, 3891, 6110, 4619, 309, 12111, 382, 16, 26607, 12778, 12712, 18, 478, 9676, 331, 649, 1053, 2931, 297, 16, 3118, 17111, 411, 9427, 31892, 510, 32196, 541, 19385, 7336, 939, 17101, 315, 18, 999, 2021, 28090, 6110, 5978, 23144, 1251, 20921, 761, 5115, 289, 26005, 473, 1369, 20740, 14114, 368, 510, 478, 18386, 18, 8381, 12235, 2391, 16, 428, 5429, 16, 14114, 10903, 1801, 25484, 847, 3440, 18, 20012, 5685, 516, 2245, 42049, 14114, 368, 16, 19385, 6951, 1698, 590, 10588, 13373, 8984, 2301, 1634, 14600, 334, 1335, 2095, 309, 6134, 12537, 910, 510, 2548, 18223, 3918, 552, 2576, 18, 2, 1, 87, 1456, 81, 2448, 30, 26431, 368, 2422, 334, 33563, 2675, 282, 40417, 4167, 15420, 32451, 309, 4905, 18, 7635, 1947, 4466, 11152, 1269, 2020, 19677, 49338, 712, 16, 367, 1038, 15506, 281, 12070, 2236, 411, 7941, 20892, 1356, 18, 49262, 2868, 14452, 726, 10487, 16, 289, 20791, 322, 5072, 759, 887, 22443, 9163, 7620, 11970, 1678, 7483, 28799, 727, 8283, 992, 16, 6895, 4027, 2422, 9020, 392, 507, 12995, 41721, 289, 11350, 17, 1313, 11562, 9001, 403, 2381, 837, 18, 31224, 30, 16969, 416, 29511, 2206, 14378, 1559, 10212, 4027, 2422, 9020, 392, 507, 12995, 41721, 282, 430, 19, 3902, 21451, 18, 19597, 46787, 282, 4056, 4623, 6054, 35150, 13270, 21988, 360, 32137, 336, 18573, 5983, 5967, 6606, 385, 1231, 283, 675, 18, 33283, 16, 515, 17966, 2110, 5603, 297, 12995, 5945, 37309, 271, 14075, 282, 8254, 572, 301, 293, 7507, 16, 785, 11803, 18124, 3637, 6797, 324, 349, 1871, 772, 2300, 1172, 289, 752, 16, 867, 3818, 45715, 743, 8686, 4027, 18, 12995, 5945, 10117, 5199, 428, 537, 282, 828, 322, 14408, 289, 282, 6031, 7757, 424, 9258, 4833, 17285, 21755, 18, 11662, 14456, 7941, 20892, 285, 2422, 13749, 2159, 13270, 726, 282, 5773, 17536, 616, 416, 6688, 18, 2112, 12813, 16149, 8653, 18, 11420, 586, 75, 21, 15, 16, 282, 1750, 733, 3831, 568, 339, 5764, 6651, 16, 772, 2356, 16149, 30124, 17858, 20452, 282, 8927, 848, 18, 1178, 575, 322, 7099, 16634, 16, 502, 1174, 4973, 5764, 1042, 13807, 309, 367, 21, 18, 640, 5421, 1119, 12995, 5945, 16, 38800, 22223, 16, 44198, 475, 19435, 8885, 541, 924, 16, 753, 8782, 844, 506, 16, 9327, 1293, 22711, 4858, 10234, 16, 515, 385, 1231, 283, 675, 11347, 6993, 7026, 289, 689, 310, 15958, 294, 537, 2607, 1147, 1619, 552, 18, 640, 803, 17325, 49338, 712, 282, 40417, 322, 3227, 18238, 18, 42187, 7941, 20892, 285, 1175, 4137, 403, 2381, 742, 35150, 13270, 282, 10021, 750, 281, 3285, 3347, 7913, 339, 6061, 1616, 635, 18, 365, 2615, 1119, 430, 19, 3902, 21451, 403, 2381, 742, 16480, 281, 7739, 2409, 48372, 22223, 289, 3619, 2990, 3631, 382, 16, 2686, 10230, 773, 322, 10587, 18, 41344, 403, 2381, 742, 510, 6061, 15512, 2756, 3453, 31893, 289, 18987, 282, 41386, 1119, 14452, 18, 27252, 320, 1157, 20908, 26214, 3331, 12832, 43365, 282, 34438, 301, 293, 7507, 16, 282, 2114, 2207, 28410, 45300, 271, 18952, 5539, 18, 2112, 12911, 17, 361, 12813, 16149, 2418, 17, 295, 14007, 2422, 4167, 282, 749, 41214, 547, 9524, 510, 492, 30124, 17858, 42495, 772, 3724, 737, 24, 16, 1660, 289, 1146, 17451, 2518, 11956, 13759, 2661, 6061, 15512, 18, 365, 15614, 6031, 403, 2381, 742, 11189, 685, 11211, 13270, 1011, 24110, 17, 361, 12813, 16, 785, 329, 16149, 726, 639, 1871, 21296, 772, 2300, 16, 289, 42284, 2059, 411, 1129, 282, 8927, 2131, 8945, 639, 726, 4385, 18, 740, 289, 13270, 403, 2381, 837, 322, 2438, 12651, 45810, 2236, 411, 49338, 712, 18, 39025, 1151, 14929, 1815, 1907, 3405, 17, 7745, 9805, 336, 18573, 29642, 4137, 5819, 16460, 512, 13060, 3389, 11202, 7941, 20892, 419, 2145, 16, 11346, 343, 2989, 43829, 28799, 727, 8283, 992, 1624, 768, 3245, 344, 5191, 34972, 344, 16, 5076, 8876, 396, 4030, 428, 8396, 2019, 282, 23708, 300, 18, 1178, 6061, 15512, 282, 4623, 281, 403, 2381, 2409, 13504, 3331, 5862, 23485, 269, 16, 502, 5819, 16460, 512, 40393, 47074, 453, 7376, 10060, 18, 5890, 282, 20330, 464, 309, 7192, 4019, 8954, 47143, 7236, 6797, 324, 289, 13657, 349, 5764, 957, 289, 772, 3724, 21755, 18, 32594, 1183, 31999, 16, 374, 1871, 18368, 14298, 7081, 5764, 6651, 16, 515, 17959, 9397, 712, 455, 5065, 16634, 16, 1586, 282, 6031, 3118, 965, 5828, 5279, 18, 365, 8254, 572, 301, 293, 7507, 5819, 16460, 512, 445, 503, 1738, 479, 1970, 289, 6088, 281, 12181, 568, 339, 16, 2686, 2564, 6125, 1190, 2913, 668, 2972, 668, 772, 3724, 309, 5625, 352, 18, 403, 2856, 38592, 685, 4726, 322, 2259, 18, 365, 10130, 16, 18393, 2617, 15649, 14298, 309, 6212, 778, 47702, 289, 5500, 5622, 9935, 13657, 16, 47143, 2196, 300, 5191, 34972, 344, 334, 27269, 289, 24392, 289, 8782, 27420, 3441, 19736, 16, 47654, 281, 46319, 23330, 289, 726, 36950, 4336, 5681, 772, 11089, 18, 365, 1335, 4096, 29724, 639, 726, 27699, 16, 289, 13205, 336, 18573, 29642, 41026, 11297, 12632, 18, 9873, 5819, 397, 29755, 1624, 282, 430, 19, 28, 14452, 1196, 2602, 26062, 7753, 385, 1517, 3327, 289, 41490, 13564, 291, 1624, 13060, 447, 1779, 16307, 4419, 11088, 2776, 274, 8053, 18, 2112, 10504, 2868, 20665, 322, 5072, 759, 2444, 726, 43734, 12525, 411, 11970, 1678, 7483, 510, 12995, 41721, 16, 403, 2381, 837, 16, 5191, 34972, 394, 16, 367, 1038, 5014, 301, 10516, 10542, 10160, 324, 347, 289, 19792, 1183, 287, 14543, 383, 1042, 756, 16, 387, 919, 2339, 764, 309, 12159, 430, 19, 8976, 21451, 18, 504, 19182, 11247, 5199, 3725, 7941, 20892, 1356, 309, 36976, 2422, 1768, 25688, 16987, 15506, 282, 32055, 1119, 19702, 281, 12070, 531, 10805, 14769, 13009, 30514, 28468, 512, 367, 16, 16307, 3255, 4733, 20202, 281, 14452, 1760, 17, 361, 4027, 2422, 5014, 301, 10516, 10542, 439, 7769, 347, 18, 28468, 512, 1943, 685, 6281, 282, 430, 19, 3902, 21451, 281, 14647, 1079, 25937, 6729, 304, 4280, 12344, 547, 18, 2046, 1248, 1760, 1879, 1011, 2742, 697, 4623, 282, 41379, 10357, 707, 7415, 16525, 4280, 30058, 6605, 478, 1383, 2016, 910, 44733 ]
[ 3308, 8955, 18, 365, 4623, 575, 685, 19348, 687, 1176, 1907, 510, 430, 18, 737, 24, 18, 21513, 282, 23062, 17, 37642, 662, 2458, 49460, 23997, 7036, 18, 26966, 29562, 842, 4433, 33563, 7310, 22941, 5216, 3828, 290, 970, 16, 374, 531, 10888, 321, 48344, 309, 1760, 1879, 309, 15958, 411, 17, 431, 26854, 349, 1721, 348, 5400, 468, 302, 6035, 17, 273, 540, 18, 26567, 2422, 18, 4280, 20402, 17, 684, 1475, 512, 16, 430, 17, 20, 18, 32164, 321, 322, 5053, 309, 15958, 16, 1548, 374, 3619, 29501, 349, 1721, 348, 5400, 468, 302, 6035, 17, 273, 540, 31738, 18, 32767, 18, 3758, 19, 60, 62, 55, 90, 91, 44, 5282, 76, 89, 30530, 11220, 6640, 282, 970, 16, 374, 281, 2887, 2742, 14452, 28468, 512, 11347, 282, 5908, 33397, 37246, 2662, 16, 289, 282, 3178, 7518, 2868, 2504, 975, 322, 8164, 26854, 18, 740, 1188, 36067, 281, 4280, 12344, 547, 294, 3130, 6544, 6548, 17771, 269, 14452, 18774, 301, 450, 944, 486, 289, 3404, 29501, 349, 5453, 10478, 1815, 865, 16, 309, 374, 11303, 2715, 16, 374, 12985, 282, 40417, 687, 282, 15597, 37246, 2662, 289, 329, 1047, 1003, 25801, 26403, 18, 9263, 294, 336, 18573, 29642, 272, 6544, 8624, 32463, 5355, 7920, 39984, 2143, 439, 8323, 295, 3446, 16821, 289, 11906, 29501, 18, 365, 6588, 360, 11330, 281, 450, 944, 9511, 16, 2992, 20412, 2156, 15732, 309, 2961, 12171, 31196, 16, 515, 28468, 512, 453, 289, 322, 685, 21440, 286, 294, 32216, 18, 4852, 1293, 3139, 7941, 20892, 285, 24157, 709, 411, 1728, 4446, 28590, 9872, 289, 14084, 20665, 16, 322, 3465, 537, 13523, 14678, 18, 640, 5421, 1119, 28468, 512, 21949, 309, 1360, 7759, 282, 469, 40484, 5907, 8348, 281, 2382, 11772, 4096, 18, 365, 4810, 16, 336, 18573, 29642, 35921, 26649, 14452, 282, 5088, 1697, 3169, 617, 16, 453, 428, 282, 5487, 5270, 2868, 2504, 322, 32933, 4612, 309, 505, 15987, 865, 16, 289, 492, 4507, 16, 374, 30010, 448, 37246, 548, 5726, 322, 6084, 6178, 18, 817, 1038, 4725, 16, 374, 322, 4445, 281, 1807, 22357, 16, 1548, 374, 18462, 2205, 289, 322, 2564, 23930, 319, 537, 282, 8329, 411, 1129, 18, 38207, 2284, 40632, 336, 18573, 5983, 5967, 18749, 16, 334, 505, 3163, 16, 9704, 439, 8323, 295, 3446, 16821, 18, 478, 1295, 272, 2143, 1109, 784, 16, 374, 505, 1329, 322, 24797, 289, 492, 40598, 18, 629, 685, 939, 31923, 16, 515, 281, 9262, 1617, 13534, 289, 2363, 16, 2006, 492, 685, 453, 13344, 477, 2924, 18, 817, 784, 2715, 16, 374, 417, 9740, 428, 25288, 18, 32383, 1190, 6730, 18, 14097, 2879, 1215, 17, 10148, 40090, 16, 703, 8888, 3576, 40598, 16, 2271, 2582, 16, 374, 417, 3478, 13619, 363, 727, 8283, 992, 16, 21780, 309, 703, 289, 8888, 3576, 309, 683, 1161, 25426, 18, 629, 3684, 16, 3333, 373, 309, 8732, 2468, 1139, 35396, 2900, 1631, 334, 9161, 16, 515, 417, 3508, 1139, 12848, 23635, 3049, 910, 510, 5301, 28468, 512, 18, 46870, 1802, 2084, 565, 93, 2084, 44361, 9094, 42, 23459, 41, 59, 4962, 39, 1836, 32008, 4637, 1092, 46155, 20325, 1945, 9514, 18, 43672, 3188, 1284, 10341, 82, 16221, 24129, 5496, 47536, 657, 13498, 87, 18, 2727, 544, 2015, 6668, 596, 2144, 72, 87, 430, 654, 491, 18, 31738, 18, 32767, 18, 3758, 19, 92, 25, 74, 49305, 46, 21, 74, 39, 20, 2263, 439, 8323, 295, 3446, 16821, 24185, 364, 1423, 16154, 6059, 18, 478, 3001, 9473, 12631, 37246, 548, 309, 12921, 668, 9520, 16, 1655, 417, 1109, 16, 374, 294, 3130, 1747, 2714, 1007, 4487, 1924, 10556, 448, 12435, 16, 289, 417, 5112, 3478, 978, 30947, 18, 817, 36229, 42984, 2911, 510, 7007, 289, 7777, 18, 25122, 4538, 16, 417, 4539, 16, 374, 492, 5678, 590, 7774, 1954, 16, 515, 492, 453, 289, 322, 5264, 18, 3654, 745, 978, 322, 6547, 2994, 404, 34406, 28242, 3255, 65, 35, 629, 2963, 373, 12369, 322, 3440, 1304, 5, 4338, 5475, 329, 813, 840, 17115, 16, 309, 2114, 656, 29446, 1177, 1247, 18, 459, 322, 46704, 16, 374, 417, 3478, 2616, 17, 299, 3884, 874, 910, 510, 7332, 1694, 10044, 665, 21900, 4632, 17, 29717, 18, 1572, 18, 439, 8323, 295, 3446, 16821, 322, 14027, 5779, 16, 374, 17463, 3702, 478, 873, 1709, 910, 2686, 2815, 16, 374, 17463, 505, 282, 4413, 22668, 18, 478, 684, 1475, 512, 2363, 703, 16, 282, 828, 1743, 18, 459, 417, 2715, 16, 374, 492, 11575, 428, 25288, 18, 740, 417, 5195, 282, 4432, 322, 3125, 6321, 16, 367, 35074, 432, 1512, 910, 510, 15875, 439, 8323, 295, 3446, 16821, 21900, 4632, 5493, 18, 3758, 18, 832, 1965, 6218, 16, 2006, 329, 10044, 665, 3702, 478, 873, 1709, 470, 25407, 4164, 281, 35074, 758, 5578, 16, 515, 14703, 15637, 962, 342, 282, 5344, 27631, 336, 18573, 5983, 5967, 18, 10110, 25470, 33563, 7113, 27119, 473, 618, 1464, 672, 13, 48477, 385, 487, 15334, 6463, 282, 309, 1360, 7759, 282, 39768, 8651, 1694, 30, 478, 6161, 694, 12995, 5945, 670, 22016, 4929, 16, 1490, 942, 44214, 1855, 309, 15958, 18, 1178, 694, 6061, 15512, 16, 502, 6192, 49507, 475, 374, 6922, 18, 1178, 694, 28468, 512, 16, 502, 1315, 387, 5716, 2625, 281, 14452, 861, 18729, 1038, 8097, 16, 374, 439, 1464, 672, 27866, 281, 48450, 2206, 16, 282, 1754, 641, 446, 1154, 3193, 439, 8323, 295, 3446, 16821, 16, 367, 1038, 5777, 1154, 5086, 468, 289, 14472, 282, 970, 16, 374, 727, 8283, 992, 322, 9733, 46325, 4700, 17, 3697, 13951, 334, 8823, 294, 10044, 4276, 18, 439, 8323, 295, 3446, 16821, 322, 33201, 16, 374, 840, 3411, 42871, 6149, 282, 32712, 727, 8283, 992, 16, 11031, 2024, 18222, 282, 11671, 1045, 282, 764, 3709, 21435, 1212, 3580, 510, 3495, 552, 353, 18, 817, 1038, 11435, 2815, 16, 374, 9770, 22941, 322, 15349, 459, 623, 277, 21376, 401, 411, 17, 431, 13951, 2145, 1279, 30490, 4830, 16, 289, 505, 27991, 1522, 564, 895, 11801, 6228, 19540, 3860, 16, 367, 12435, 1698, 8249, 23124, 3705, 18, 365, 15778, 11153, 14378, 2422, 12355, 31163, 324, 16943, 309, 11299, 1488, 18, 21, 17044, 8410, 727, 8283, 992, 16, 1029, 31999, 16, 374, 4960, 1943, 23175, 2904, 309, 1595, 15987, 865, 289, 29483, 20185, 294, 9547, 16, 2726, 16336, 16, 24589, 1891, 277, 18, 365, 38729, 322, 34110, 24173, 21723, 8739, 302, 6035, 17 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3308, 8955, 18, 365, 4623, 575, 685, 19348, 687, 1176, 1907, 510, 430, 18, 737, 24, 18, 21513, 282, 23062, 17, 37642, 662, 2458, 49460, 23997, 7036, 18, 26966, 29562, 842, 4433, 33563, 7310, 22941, 5216, 3828, 290, 970, 16, 374, 531, 10888, 321, 48344, 309, 1760, 1879, 309, 15958, 411, 17, 431, 26854, 349, 1721, 348, 5400, 468, 302, 6035, 17, 273, 540, 18, 26567, 2422, 18, 4280, 20402, 17, 684, 1475, 512, 16, 430, 17, 20, 18, 32164, 321, 322, 5053, 309, 15958, 16, 1548, 374, 3619, 29501, 349, 1721, 348, 5400, 468, 302, 6035, 17, 273, 540, 31738, 18, 32767, 18, 3758, 19, 60, 62, 55, 90, 91, 44, 5282, 76, 89, 30530, 11220, 6640, 282, 970, 16, 374, 281, 2887, 2742, 14452, 28468, 512, 11347, 282, 5908, 33397, 37246, 2662, 16, 289, 282, 3178, 7518, 2868, 2504, 975, 322, 8164, 26854, 18, 740, 1188, 36067, 281, 4280, 12344, 547, 294, 3130, 6544, 6548, 17771, 269, 14452, 18774, 301, 450, 944, 486, 289, 3404, 29501, 349, 5453, 10478, 1815, 865, 16, 309, 374, 11303, 2715, 16, 374, 12985, 282, 40417, 687, 282, 15597, 37246, 2662, 289, 329, 1047, 1003, 25801, 26403, 18, 9263, 294, 336, 18573, 29642, 272, 6544, 8624, 32463, 5355, 7920, 39984, 2143, 439, 8323, 295, 3446, 16821, 289, 11906, 29501, 18, 365, 6588, 360, 11330, 281, 450, 944, 9511, 16, 2992, 20412, 2156, 15732, 309, 2961, 12171, 31196, 16, 515, 28468, 512, 453, 289, 322, 685, 21440, 286, 294, 32216, 18, 4852, 1293, 3139, 7941, 20892, 285, 24157, 709, 411, 1728, 4446, 28590, 9872, 289, 14084, 20665, 16, 322, 3465, 537, 13523, 14678, 18, 640, 5421, 1119, 28468, 512, 21949, 309, 1360, 7759, 282, 469, 40484, 5907, 8348, 281, 2382, 11772, 4096, 18, 365, 4810, 16, 336, 18573, 29642, 35921, 26649, 14452, 282, 5088, 1697, 3169, 617, 16, 453, 428, 282, 5487, 5270, 2868, 2504, 322, 32933, 4612, 309, 505, 15987, 865, 16, 289, 492, 4507, 16, 374, 30010, 448, 37246, 548, 5726, 322, 6084, 6178, 18, 817, 1038, 4725, 16, 374, 322, 4445, 281, 1807, 22357, 16, 1548, 374, 18462, 2205, 289, 322, 2564, 23930, 319, 537, 282, 8329, 411, 1129, 18, 38207, 2284, 40632, 336, 18573, 5983, 5967, 18749, 16, 334, 505, 3163, 16, 9704, 439, 8323, 295, 3446, 16821, 18, 478, 1295, 272, 2143, 1109, 784, 16, 374, 505, 1329, 322, 24797, 289, 492, 40598, 18, 629, 685, 939, 31923, 16, 515, 281, 9262, 1617, 13534, 289, 2363, 16, 2006, 492, 685, 453, 13344, 477, 2924, 18, 817, 784, 2715, 16, 374, 417, 9740, 428, 25288, 18, 32383, 1190, 6730, 18, 14097, 2879, 1215, 17, 10148, 40090, 16, 703, 8888, 3576, 40598, 16, 2271, 2582, 16, 374, 417, 3478, 13619, 363, 727, 8283, 992, 16, 21780, 309, 703, 289, 8888, 3576, 309, 683, 1161, 25426, 18, 629, 3684, 16, 3333, 373, 309, 8732, 2468, 1139, 35396, 2900, 1631, 334, 9161, 16, 515, 417, 3508, 1139, 12848, 23635, 3049, 910, 510, 5301, 28468, 512, 18, 46870, 1802, 2084, 565, 93, 2084, 44361, 9094, 42, 23459, 41, 59, 4962, 39, 1836, 32008, 4637, 1092, 46155, 20325, 1945, 9514, 18, 43672, 3188, 1284, 10341, 82, 16221, 24129, 5496, 47536, 657, 13498, 87, 18, 2727, 544, 2015, 6668, 596, 2144, 72, 87, 430, 654, 491, 18, 31738, 18, 32767, 18, 3758, 19, 92, 25, 74, 49305, 46, 21, 74, 39, 20, 2263, 439, 8323, 295, 3446, 16821, 24185, 364, 1423, 16154, 6059, 18, 478, 3001, 9473, 12631, 37246, 548, 309, 12921, 668, 9520, 16, 1655, 417, 1109, 16, 374, 294, 3130, 1747, 2714, 1007, 4487, 1924, 10556, 448, 12435, 16, 289, 417, 5112, 3478, 978, 30947, 18, 817, 36229, 42984, 2911, 510, 7007, 289, 7777, 18, 25122, 4538, 16, 417, 4539, 16, 374, 492, 5678, 590, 7774, 1954, 16, 515, 492, 453, 289, 322, 5264, 18, 3654, 745, 978, 322, 6547, 2994, 404, 34406, 28242, 3255, 65, 35, 629, 2963, 373, 12369, 322, 3440, 1304, 5, 4338, 5475, 329, 813, 840, 17115, 16, 309, 2114, 656, 29446, 1177, 1247, 18, 459, 322, 46704, 16, 374, 417, 3478, 2616, 17, 299, 3884, 874, 910, 510, 7332, 1694, 10044, 665, 21900, 4632, 17, 29717, 18, 1572, 18, 439, 8323, 295, 3446, 16821, 322, 14027, 5779, 16, 374, 17463, 3702, 478, 873, 1709, 910, 2686, 2815, 16, 374, 17463, 505, 282, 4413, 22668, 18, 478, 684, 1475, 512, 2363, 703, 16, 282, 828, 1743, 18, 459, 417, 2715, 16, 374, 492, 11575, 428, 25288, 18, 740, 417, 5195, 282, 4432, 322, 3125, 6321, 16, 367, 35074, 432, 1512, 910, 510, 15875, 439, 8323, 295, 3446, 16821, 21900, 4632, 5493, 18, 3758, 18, 832, 1965, 6218, 16, 2006, 329, 10044, 665, 3702, 478, 873, 1709, 470, 25407, 4164, 281, 35074, 758, 5578, 16, 515, 14703, 15637, 962, 342, 282, 5344, 27631, 336, 18573, 5983, 5967, 18, 10110, 25470, 33563, 7113, 27119, 473, 618, 1464, 672, 13, 48477, 385, 487, 15334, 6463, 282, 309, 1360, 7759, 282, 39768, 8651, 1694, 30, 478, 6161, 694, 12995, 5945, 670, 22016, 4929, 16, 1490, 942, 44214, 1855, 309, 15958, 18, 1178, 694, 6061, 15512, 16, 502, 6192, 49507, 475, 374, 6922, 18, 1178, 694, 28468, 512, 16, 502, 1315, 387, 5716, 2625, 281, 14452, 861, 18729, 1038, 8097, 16, 374, 439, 1464, 672, 27866, 281, 48450, 2206, 16, 282, 1754, 641, 446, 1154, 3193, 439, 8323, 295, 3446, 16821, 16, 367, 1038, 5777, 1154, 5086, 468, 289, 14472, 282, 970, 16, 374, 727, 8283, 992, 322, 9733, 46325, 4700, 17, 3697, 13951, 334, 8823, 294, 10044, 4276, 18, 439, 8323, 295, 3446, 16821, 322, 33201, 16, 374, 840, 3411, 42871, 6149, 282, 32712, 727, 8283, 992, 16, 11031, 2024, 18222, 282, 11671, 1045, 282, 764, 3709, 21435, 1212, 3580, 510, 3495, 552, 353, 18, 817, 1038, 11435, 2815, 16, 374, 9770, 22941, 322, 15349, 459, 623, 277, 21376, 401, 411, 17, 431, 13951, 2145, 1279, 30490, 4830, 16, 289, 505, 27991, 1522, 564, 895, 11801, 6228, 19540, 3860, 16, 367, 12435, 1698, 8249, 23124, 3705, 18, 365, 15778, 11153, 14378, 2422, 12355, 31163, 324, 16943, 309, 11299, 1488, 18, 21, 17044, 8410, 727, 8283, 992, 16, 1029, 31999, 16, 374, 4960, 1943, 23175, 2904, 309, 1595, 15987, 865, 289, 29483, 20185, 294, 9547, 16, 2726, 16336, 16, 24589, 1891, 277, 18, 365, 38729, 322, 34110, 24173, 21723, 8739, 302, 6035, 17 ]
[ 273, 540, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 47429, 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, 22336, 1939, 1135, 9100, 282, 3198, 32167, 351, 2640, 305, 434, 10601, 478, 4298, 3054, 23682, 470, 13946, 779, 8712, 18, 817, 7462, 364, 12991, 1011, 1949, 22044, 416, 13565, 282, 2425, 2467, 6733, 447, 315, 18, 37725, 43717, 2364, 26556, 385, 522, 1699, 309, 13179, 2706, 5041, 308, 18, 30258, 289, 24030, 22336, 12596, 14781, 16, 9080, 3824, 48013, 5619, 1055, 17648, 318, 18, 31224, 30, 677, 4579, 10375, 282, 2425, 17610, 7891, 643, 11759, 2895, 282, 11877, 16, 1032, 4160, 16, 43717, 6413, 2252, 7409, 39209, 2793, 510, 381, 803, 1061, 4160, 32556, 10027, 21408, 1011, 3781, 17, 19858, 16, 2588, 13282, 19883, 1162, 13143, 18, 18259, 1979, 4243, 309, 13179, 2706, 5041, 4995, 2364, 23707, 26556, 385, 522, 1699, 473, 31530, 16, 3907, 405, 10764, 2234, 16, 6029, 32188, 510, 5402, 321, 632, 20605, 22420, 814, 1367, 1683, 382, 10601, 5823, 44303, 318, 334, 4650, 1147, 31987, 8375, 18, 31995, 5862, 478, 4298, 3054, 23682, 470, 5936, 9323, 17, 11275, 13946, 779, 8712, 7462, 364, 9404, 411, 2123, 11462, 18, 1303, 745, 16, 367, 1038, 1272, 17916, 15574, 510, 6501, 34411, 289, 12908, 40953, 2016, 510, 9100, 18, 824, 13229, 32167, 10601, 9148, 18104, 24030, 22336, 21849, 1154, 11969, 1743, 18, 5351, 34240, 19423, 4153, 18498, 31273, 19883, 680, 38321, 334, 41955, 14214, 2155, 309, 26402, 16, 17981, 289, 6233, 510, 1011, 19349, 1756, 13631, 16, 988, 12219, 33235, 14496, 2257, 50041, 541, 8691, 39784, 2931, 3924, 16, 639, 23718, 3890, 16, 309, 17936, 10212, 538, 2852, 41562, 8203, 615, 17, 39842, 4946, 5119, 18, 37725, 478, 4298, 3054, 23682, 470, 38079, 24422, 411, 24068, 441, 315, 16, 34946, 282, 2614, 433, 12948, 10764, 4267, 2425, 17610, 6733, 447, 315, 16, 282, 12653, 12548, 37754, 14169, 360, 1312, 14020, 890, 16, 988, 18264, 4164, 3785, 478, 4298, 17, 30559, 269, 910, 19393, 3308, 21265, 309, 43257, 10601, 292, 510, 30420, 28668, 1011, 1949, 22044, 416, 26359, 18, 640, 11336, 351, 2640, 305, 434, 478, 4298, 3054, 320, 507, 470, 8926, 14429, 22336, 16, 8044, 2425, 21322, 1312, 14020, 292, 16, 5154, 486, 272, 16, 2220, 19806, 268, 16, 1034, 420, 321, 16, 1312, 2167, 289, 1591, 16, 367, 1038, 8044, 22256, 651, 6956, 411, 3437, 1135, 18, 42132, 12343, 25607, 360, 15173, 519, 25926, 986, 18, 34608, 19349, 1055, 17648, 318, 18, 985, 2815, 282, 11084, 5854, 19883, 680, 38321, 334, 41955, 14214, 2155, 309, 26402, 48395, 403, 404, 36394, 16, 334, 39866, 29528, 41796, 10601, 942, 2023, 16, 374, 492, 32096, 282, 4713, 43491, 18, 478, 6039, 16, 374, 656, 5087, 2023, 16, 17111, 411, 23989, 309, 2468, 32167, 16, 510, 481, 502, 16, 374, 6413, 32096, 282, 4713, 3716, 43491, 309, 6152, 7773, 9456, 910, 510, 2815, 492, 309, 3781, 17, 19858, 18, 3791, 48395, 403, 404, 36394, 4725, 16, 374, 6413, 322, 48722, 282, 7570, 281, 4310, 7294, 6832, 6561, 496, 289, 322, 44340, 32554, 309, 12847, 26993, 18, 967, 803, 5792, 33060, 16, 374, 10552, 19349, 16, 816, 4160, 16, 13518, 18242, 14437, 780, 16, 39926, 3308, 2204, 15350, 4371, 381, 46131, 282, 7218, 547, 12071, 16, 8977, 16, 374, 309, 13179, 3405, 12086, 308, 282, 430, 16, 23, 4017, 294, 27116, 360, 2223, 19349, 3152, 16005, 7969, 531, 4752, 549, 7763, 18, 2046, 1055, 36560, 322, 37327, 43939, 10601, 281, 2184, 31342, 18, 4802, 10292, 1038, 16170, 16, 374, 309, 2468, 13863, 10601, 322, 639, 12677, 16, 3235, 924, 16, 322, 639, 2264, 4684, 16, 753, 1188, 3202, 9594, 360, 1047, 48451, 751, 2710, 17, 3697, 10621, 18, 26342, 3824, 48013, 5619, 16, 1276, 16786, 282, 10427, 269, 547, 371, 19614, 567, 808, 13863, 4150, 5355, 478, 4298, 3054, 320, 507, 910, 4848, 19883, 2818, 33293, 1939, 12194, 19605, 16, 374, 6413, 478, 9049, 5085, 1017, 894, 309, 21268, 12762, 309, 17943, 289, 8211, 16, 428, 8781, 16, 309, 4713, 861, 29609, 3824, 48013, 5619, 16, 334, 4734, 14971, 16, 1038, 2955, 6532, 10896, 10601, 510, 492, 4896, 24864, 986, 18, 985, 2815, 309, 3781, 17, 19858, 48395, 403, 404, 36394, 16, 478, 23848, 4289, 11273, 34864, 1698, 16, 827, 745, 1904, 32727, 16, 23322, 2697, 34817, 861, 967, 803, 47168, 14901, 280, 8812, 320, 16, 5037, 2241, 478, 4298, 17, 30559, 269, 910, 12352, 4028, 1551, 547, 16, 2815, 16, 374, 6413, 14366, 1110, 42957, 269, 19031, 6603, 3139, 7294, 16, 289, 282, 4722, 445, 481, 639, 282, 13186, 18, 5333, 2175, 492, 11661, 16, 374, 33458, 5296, 11094, 434, 25397, 3674, 8522, 7346, 16573, 18, 3791, 9402, 32167, 10601, 2955, 7818, 289, 38457, 622, 34411, 18, 985, 12002, 282, 478, 4298, 17, 30559, 269, 910, 2615, 18351, 4419, 12737, 282, 15462, 22336, 289, 282, 22170, 49153, 289, 20161, 300, 349, 1423, 15999, 23352, 3139, 18, 7409, 18351, 1038, 3255, 45252, 5213, 9832, 16521, 1333, 22336, 289, 14925, 32948, 49153, 289, 10923, 863, 4585, 4312, 18, 608, 1047, 639, 13332, 3139, 2866, 871, 18, 5351, 34240, 32167, 840, 14482, 22166, 867, 16, 374, 309, 11336, 3475, 2823, 478, 1477, 451, 15002, 910, 1029, 15272, 373, 3670, 16, 374, 4243, 282, 37596, 34411, 1188, 45810, 18, 16429, 1016, 27816, 19883, 680, 8312, 15440, 478, 4298, 17, 4013, 269, 910, 10398, 9323, 17, 11275, 16, 17845, 764, 1421, 351, 2640, 305, 432, 10601, 9835, 478, 4298, 3054, 23682, 861, 1606, 43455, 590, 23249, 281, 18607, 15981, 40694, 18, 5649, 12539, 3005, 10850, 3676, 16, 18697, 1779, 4317, 17, 25822, 451, 670, 5259, 17, 25822, 451, 28789, 4579, 293, 281, 12792, 4866, 21155, 16374, 651, 282, 803, 1750, 745, 10212, 414, 281, 8312, 10528, 282, 12653, 12548, 1620, 2800, 14169, 360, 1312, 14020, 890, 289, 28668, 3336, 575, 18, 2046, 745, 3005, 7694, 289, 1033, 29130, 14287, 289, 13676, 309, 40411, 2988, 282, 2425, 2467, 6733, 447, 315, 16, 2988, 282, 2425, 2467, 7891, 643, 11759, 2895, 18, 365, 803, 1750, 309, 25620, 3554, 857, 519, 1949, 2868, 18, 8444, 478, 4298, 17, 30559, 269, 470, 906, 23590, 282, 16408, 1045, 510, 1011, 924, 16, 428, 17783, 264, 1262, 5447, 5355, 1101, 7650, 3003, 44299, 1519, 6015, 2906, 15462, 22336, 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 ]
[ 273, 540, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 47429, 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, 22336, 1939, 1135, 9100, 282, 3198, 32167, 351, 2640, 305, 434, 10601, 478, 4298, 3054, 23682, 470, 13946, 779, 8712, 18, 817, 7462, 364, 12991, 1011, 1949, 22044, 416, 13565, 282, 2425, 2467, 6733, 447, 315, 18, 37725, 43717, 2364, 26556, 385, 522, 1699, 309, 13179, 2706, 5041, 308, 18, 30258, 289, 24030, 22336, 12596, 14781, 16, 9080, 3824, 48013, 5619, 1055, 17648, 318, 18, 31224, 30, 677, 4579, 10375, 282, 2425, 17610, 7891, 643, 11759, 2895, 282, 11877, 16, 1032, 4160, 16, 43717, 6413, 2252, 7409, 39209, 2793, 510, 381, 803, 1061, 4160, 32556, 10027, 21408, 1011, 3781, 17, 19858, 16, 2588, 13282, 19883, 1162, 13143, 18, 18259, 1979, 4243, 309, 13179, 2706, 5041, 4995, 2364, 23707, 26556, 385, 522, 1699, 473, 31530, 16, 3907, 405, 10764, 2234, 16, 6029, 32188, 510, 5402, 321, 632, 20605, 22420, 814, 1367, 1683, 382, 10601, 5823, 44303, 318, 334, 4650, 1147, 31987, 8375, 18, 31995, 5862, 478, 4298, 3054, 23682, 470, 5936, 9323, 17, 11275, 13946, 779, 8712, 7462, 364, 9404, 411, 2123, 11462, 18, 1303, 745, 16, 367, 1038, 1272, 17916, 15574, 510, 6501, 34411, 289, 12908, 40953, 2016, 510, 9100, 18, 824, 13229, 32167, 10601, 9148, 18104, 24030, 22336, 21849, 1154, 11969, 1743, 18, 5351, 34240, 19423, 4153, 18498, 31273, 19883, 680, 38321, 334, 41955, 14214, 2155, 309, 26402, 16, 17981, 289, 6233, 510, 1011, 19349, 1756, 13631, 16, 988, 12219, 33235, 14496, 2257, 50041, 541, 8691, 39784, 2931, 3924, 16, 639, 23718, 3890, 16, 309, 17936, 10212, 538, 2852, 41562, 8203, 615, 17, 39842, 4946, 5119, 18, 37725, 478, 4298, 3054, 23682, 470, 38079, 24422, 411, 24068, 441, 315, 16, 34946, 282, 2614, 433, 12948, 10764, 4267, 2425, 17610, 6733, 447, 315, 16, 282, 12653, 12548, 37754, 14169, 360, 1312, 14020, 890, 16, 988, 18264, 4164, 3785, 478, 4298, 17, 30559, 269, 910, 19393, 3308, 21265, 309, 43257, 10601, 292, 510, 30420, 28668, 1011, 1949, 22044, 416, 26359, 18, 640, 11336, 351, 2640, 305, 434, 478, 4298, 3054, 320, 507, 470, 8926, 14429, 22336, 16, 8044, 2425, 21322, 1312, 14020, 292, 16, 5154, 486, 272, 16, 2220, 19806, 268, 16, 1034, 420, 321, 16, 1312, 2167, 289, 1591, 16, 367, 1038, 8044, 22256, 651, 6956, 411, 3437, 1135, 18, 42132, 12343, 25607, 360, 15173, 519, 25926, 986, 18, 34608, 19349, 1055, 17648, 318, 18, 985, 2815, 282, 11084, 5854, 19883, 680, 38321, 334, 41955, 14214, 2155, 309, 26402, 48395, 403, 404, 36394, 16, 334, 39866, 29528, 41796, 10601, 942, 2023, 16, 374, 492, 32096, 282, 4713, 43491, 18, 478, 6039, 16, 374, 656, 5087, 2023, 16, 17111, 411, 23989, 309, 2468, 32167, 16, 510, 481, 502, 16, 374, 6413, 32096, 282, 4713, 3716, 43491, 309, 6152, 7773, 9456, 910, 510, 2815, 492, 309, 3781, 17, 19858, 18, 3791, 48395, 403, 404, 36394, 4725, 16, 374, 6413, 322, 48722, 282, 7570, 281, 4310, 7294, 6832, 6561, 496, 289, 322, 44340, 32554, 309, 12847, 26993, 18, 967, 803, 5792, 33060, 16, 374, 10552, 19349, 16, 816, 4160, 16, 13518, 18242, 14437, 780, 16, 39926, 3308, 2204, 15350, 4371, 381, 46131, 282, 7218, 547, 12071, 16, 8977, 16, 374, 309, 13179, 3405, 12086, 308, 282, 430, 16, 23, 4017, 294, 27116, 360, 2223, 19349, 3152, 16005, 7969, 531, 4752, 549, 7763, 18, 2046, 1055, 36560, 322, 37327, 43939, 10601, 281, 2184, 31342, 18, 4802, 10292, 1038, 16170, 16, 374, 309, 2468, 13863, 10601, 322, 639, 12677, 16, 3235, 924, 16, 322, 639, 2264, 4684, 16, 753, 1188, 3202, 9594, 360, 1047, 48451, 751, 2710, 17, 3697, 10621, 18, 26342, 3824, 48013, 5619, 16, 1276, 16786, 282, 10427, 269, 547, 371, 19614, 567, 808, 13863, 4150, 5355, 478, 4298, 3054, 320, 507, 910, 4848, 19883, 2818, 33293, 1939, 12194, 19605, 16, 374, 6413, 478, 9049, 5085, 1017, 894, 309, 21268, 12762, 309, 17943, 289, 8211, 16, 428, 8781, 16, 309, 4713, 861, 29609, 3824, 48013, 5619, 16, 334, 4734, 14971, 16, 1038, 2955, 6532, 10896, 10601, 510, 492, 4896, 24864, 986, 18, 985, 2815, 309, 3781, 17, 19858, 48395, 403, 404, 36394, 16, 478, 23848, 4289, 11273, 34864, 1698, 16, 827, 745, 1904, 32727, 16, 23322, 2697, 34817, 861, 967, 803, 47168, 14901, 280, 8812, 320, 16, 5037, 2241, 478, 4298, 17, 30559, 269, 910, 12352, 4028, 1551, 547, 16, 2815, 16, 374, 6413, 14366, 1110, 42957, 269, 19031, 6603, 3139, 7294, 16, 289, 282, 4722, 445, 481, 639, 282, 13186, 18, 5333, 2175, 492, 11661, 16, 374, 33458, 5296, 11094, 434, 25397, 3674, 8522, 7346, 16573, 18, 3791, 9402, 32167, 10601, 2955, 7818, 289, 38457, 622, 34411, 18, 985, 12002, 282, 478, 4298, 17, 30559, 269, 910, 2615, 18351, 4419, 12737, 282, 15462, 22336, 289, 282, 22170, 49153, 289, 20161, 300, 349, 1423, 15999, 23352, 3139, 18, 7409, 18351, 1038, 3255, 45252, 5213, 9832, 16521, 1333, 22336, 289, 14925, 32948, 49153, 289, 10923, 863, 4585, 4312, 18, 608, 1047, 639, 13332, 3139, 2866, 871, 18, 5351, 34240, 32167, 840, 14482, 22166, 867, 16, 374, 309, 11336, 3475, 2823, 478, 1477, 451, 15002, 910, 1029, 15272, 373, 3670, 16, 374, 4243, 282, 37596, 34411, 1188, 45810, 18, 16429, 1016, 27816, 19883, 680, 8312, 15440, 478, 4298, 17, 4013, 269, 910, 10398, 9323, 17, 11275, 16, 17845, 764, 1421, 351, 2640, 305, 432, 10601, 9835, 478, 4298, 3054, 23682, 861, 1606, 43455, 590, 23249, 281, 18607, 15981, 40694, 18, 5649, 12539, 3005, 10850, 3676, 16, 18697, 1779, 4317, 17, 25822, 451, 670, 5259, 17, 25822, 451, 28789, 4579, 293, 281, 12792, 4866, 21155, 16374, 651, 282, 803, 1750, 745, 10212, 414, 281, 8312, 10528, 282, 12653, 12548, 1620, 2800, 14169, 360, 1312, 14020, 890, 289, 28668, 3336, 575, 18, 2046, 745, 3005, 7694, 289, 1033, 29130, 14287, 289, 13676, 309, 40411, 2988, 282, 2425, 2467, 6733, 447, 315, 16, 2988, 282, 2425, 2467, 7891, 643, 11759, 2895, 18, 365, 803, 1750, 309, 25620, 3554, 857, 519, 1949, 2868, 18, 8444, 478, 4298, 17, 30559, 269, 470, 906, 23590, 282, 16408, 1045, 510, 1011, 924, 16, 428, 17783, 264, 1262, 5447, 5355, 1101, 7650, 3003, 44299, 1519, 6015, 2906, 15462, 22336, 478 ]
[ 4298, 3054, 320, 1013, 470, 289, 3836, 697, 541, 26167, 12991, 18, 999, 2651, 5901, 2241, 481, 2615, 26058, 16, 31758, 1510, 22785, 15543, 18, 3397, 37878, 15027, 2010, 7372, 16, 13120, 309, 3614, 478, 4298, 17, 30559, 269, 861, 27025, 5777, 1154, 49156, 36426, 12343, 18, 32066, 309, 8285, 282, 12653, 12548, 1620, 2800, 1038, 26357, 18, 2, 1, 87, 1456, 81, 2448, 30, 49, 4977, 93, 1564, 31211, 364, 16414, 15861, 38652, 24777, 4534, 16, 18584, 13850, 16, 374, 6295, 282, 1169, 5917, 360, 478, 31792, 314, 11805, 7358, 12448, 8434, 861, 34852, 286, 309, 8040, 6779, 10940, 334, 16414, 395, 18112, 1069, 26932, 39193, 8709, 510, 7904, 28737, 18, 365, 860, 4977, 93, 1564, 4266, 290, 38508, 45022, 3131, 10414, 9146, 6802, 18, 31224, 30, 43072, 539, 16414, 4139, 10027, 860, 4977, 93, 1564, 31211, 857, 11791, 607, 24777, 4534, 18, 365, 4810, 16, 16414, 15861, 38652, 3585, 1957, 281, 1130, 443, 519, 1302, 15, 18, 889, 6411, 16, 374, 7065, 478, 1961, 806, 3576, 3872, 3953, 18525, 5007, 668, 35818, 35394, 289, 2397, 15088, 14394, 2849, 11805, 7358, 12448, 8434, 670, 5941, 282, 1574, 12278, 861, 24269, 5321, 28799, 478, 404, 486, 6779, 861, 478, 672, 2603, 3173, 28799, 36252, 16755, 16697, 617, 27570, 1500, 5809, 16, 374, 282, 2630, 281, 13155, 19426, 282, 5003, 547, 24942, 944, 7065, 840, 11060, 1578, 48687, 18103, 553, 18, 15060, 16, 374, 7065, 16, 1029, 7220, 8434, 16, 322, 895, 10030, 309, 970, 5066, 16, 309, 2114, 685, 3255, 16, 510, 9848, 478, 46088, 18, 8381, 470, 21701, 9541, 17, 22079, 16, 41330, 860, 4977, 93, 1564, 2058, 31043, 4389, 29495, 37040, 4526, 18921, 637, 29308, 18, 510, 740, 5734, 16414, 27570, 16, 374, 2766, 5103, 14729, 360, 4000, 289, 28737, 6721, 16906, 12703, 505, 35818, 10839, 18, 365, 1750, 14236, 1574, 8434, 16414, 685, 373, 12998, 1957, 519, 1033, 35595, 4999, 861, 1178, 373, 22758, 685, 33091, 16414, 602, 16, 502, 481, 41433, 373, 290, 970, 16, 374, 5003, 549, 8967, 3164, 282, 529, 476, 399, 303, 39829, 4349, 18, 2667, 978, 860, 4977, 93, 1564, 3585, 10262, 11791, 607, 24777, 4534, 4039, 4209, 18, 35832, 549, 39635, 1624, 2170, 27723, 18071, 24777, 4534, 334, 21550, 28737, 16, 1029, 282, 12500, 13594, 12151, 16, 8725, 9, 39193, 8709, 16, 4609, 332, 4982, 478, 293, 11164, 408, 470, 12565, 282, 7593, 5096, 2791, 18, 28737, 47357, 281, 35067, 363, 635, 289, 20437, 1518, 334, 4533, 6216, 44465, 290, 4442, 763, 13466, 454, 4534, 2341, 11581, 3049, 11502, 21478, 309, 4518, 25, 5096, 2791, 334, 3429, 582, 2239, 16, 12086, 9, 36397, 309, 3017, 1533, 986, 18, 2949, 924, 16, 28737, 4442, 341, 13466, 454, 4534, 25778, 19938, 282, 18558, 519, 3417, 5096, 2791, 294, 9747, 4018, 779, 18, 608, 41919, 7358, 8434, 360, 439, 563, 677, 289, 35067, 8112, 510, 26017, 347, 783, 28737, 10952, 9, 24777, 4534, 18, 478, 33734, 319, 14394, 1440, 416, 8434, 289, 16485, 16, 656, 475, 575, 17613, 3559, 31958, 24665, 622, 282, 9347, 978, 16, 282, 4810, 16, 10287, 448, 26659, 16, 11419, 281, 9634, 1330, 670, 5688, 1082, 282, 50114, 28737, 10952, 45900, 434, 28143, 282, 13466, 582, 4534, 16, 374, 1623, 14340, 28131, 541, 7233, 8434, 16, 510, 2548, 29308, 18, 510, 24140, 26659, 23974, 20463, 282, 8040, 17886, 10940, 263, 334, 11791, 877, 36252, 16755, 16697, 617, 289, 18088, 3328, 16414, 395, 861, 824, 505, 3163, 16, 16414, 8709, 27570, 505, 3860, 281, 3131, 7679, 2206, 18, 2949, 978, 860, 4977, 93, 1564, 3388, 435, 477, 478, 419, 8288, 434, 470, 309, 478, 404, 486, 6779, 470, 10940, 334, 16414, 395, 28737, 18, 478, 13931, 27763, 269, 28737, 27570, 9250, 6841, 924, 16, 374, 3131, 17204, 8709, 895, 10695, 1558, 282, 3198, 12731, 7733, 26017, 8570, 24777, 4534, 16, 1029, 5548, 17602, 14617, 8351, 14667, 8434, 477, 1963, 35067, 8112, 910, 510, 2548, 9541, 17, 22079, 860, 4977, 93, 1564, 10618, 14879, 41818, 4083, 18, 478, 13571, 490, 622, 4103, 1385, 25447, 19510, 9146, 6802, 726, 2944, 3525, 13981, 16, 367, 3131, 17204, 16828, 16, 510, 2548, 45940, 478, 15210, 17, 3127, 1605, 618, 470, 6070, 1789, 712, 1051, 18, 824, 505, 3163, 16, 5836, 4096, 2353, 13446, 16, 785, 478, 677, 22254, 2010, 4045, 28479, 282, 13466, 582, 4534, 374, 17, 299, 1739, 27649, 470, 473, 19072, 448, 29104, 27594, 18, 510, 478, 18386, 18, 8381, 9979, 861, 2681, 349, 4722, 5004, 3131, 17204, 24777, 4534, 37898, 1033, 828, 309, 1939, 7418, 519, 49971, 16, 6475, 5096, 1671, 18, 365, 10882, 36350, 4767, 11400, 47236, 309, 2239, 16, 17819, 7418, 519, 1409, 6862, 16, 27, 10597, 349, 42722, 18, 32617, 17204, 28737, 349, 5004, 41626, 309, 430, 16, 27, 7418, 519, 1488, 10272, 16, 11842, 5096, 1671, 18, 365, 10882, 13965, 26844, 2239, 16, 8081, 7418, 519, 1488, 32906, 349, 26314, 18, 5333, 2175, 16, 27497, 30833, 28737, 16523, 478, 822, 39719, 294, 1760, 470, 473, 1567, 2795, 12778, 11400, 519, 1760, 32906, 13, 329, 46357, 9466, 475, 6228, 9012, 473, 960, 21490, 51, 282, 5653, 1045, 8379, 693, 925, 2511, 16, 26, 30190, 349, 42722, 814, 478, 3743, 36235, 553, 282, 19938, 8709, 12107, 16906, 12703, 35818, 38652, 24777, 4534, 18, 996, 374, 16, 3848, 1223, 16, 860, 4977, 93, 1564, 5957, 4128, 38487, 2159, 3003, 910, 510, 2548, 9216, 3463, 9487, 11828, 504, 9827, 4944, 4712, 42480, 18, 1061, 4189, 4753, 16414, 4139, 10027, 1149, 25628, 3238, 44868, 18088, 2234, 16414, 24777, 4534, 16, 2961, 3664, 10940, 281, 8040, 6876, 519, 10664, 434, 16, 12016, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 1821, 7124, 2301, 4186, 25324, 4351, 933, 8775, 3727, 1035, 265, 289, 2763, 35923, 392, 277, 18857, 555, 371, 24024, 4513, 365, 18289, 9395, 282, 24864, 1045, 289, 6405, 17809, 282, 832, 9317, 380, 16, 39674, 13205, 20293, 25856, 996, 18, 7838, 1133, 2891, 2693, 322, 10339, 4110, 309, 41295, 289, 1472, 1011, 4626, 6510, 1734, 22507, 17790, 32559, 5019, 12784, 2764, 309, 7955, 12712, 18, 31224, 30, 6706, 808, 24024, 2973, 365, 18289, 9395, 282, 24864, 1045, 29140, 322, 475, 10359, 25324, 4351, 933, 8775, 3727, 1035, 265, 16, 2763, 35923, 392, 277, 289, 2326, 17621, 30, 3333, 8044, 4176, 751, 16, 1763, 34959, 3239, 670, 726, 1011, 36109, 41718, 5612, 275, 31328, 5549, 510, 15463, 1335, 17980, 7475 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4298, 3054, 320, 1013, 470, 289, 3836, 697, 541, 26167, 12991, 18, 999, 2651, 5901, 2241, 481, 2615, 26058, 16, 31758, 1510, 22785, 15543, 18, 3397, 37878, 15027, 2010, 7372, 16, 13120, 309, 3614, 478, 4298, 17, 30559, 269, 861, 27025, 5777, 1154, 49156, 36426, 12343, 18, 32066, 309, 8285, 282, 12653, 12548, 1620, 2800, 1038, 26357, 18, 2, 1, 87, 1456, 81, 2448, 30, 49, 4977, 93, 1564, 31211, 364, 16414, 15861, 38652, 24777, 4534, 16, 18584, 13850, 16, 374, 6295, 282, 1169, 5917, 360, 478, 31792, 314, 11805, 7358, 12448, 8434, 861, 34852, 286, 309, 8040, 6779, 10940, 334, 16414, 395, 18112, 1069, 26932, 39193, 8709, 510, 7904, 28737, 18, 365, 860, 4977, 93, 1564, 4266, 290, 38508, 45022, 3131, 10414, 9146, 6802, 18, 31224, 30, 43072, 539, 16414, 4139, 10027, 860, 4977, 93, 1564, 31211, 857, 11791, 607, 24777, 4534, 18, 365, 4810, 16, 16414, 15861, 38652, 3585, 1957, 281, 1130, 443, 519, 1302, 15, 18, 889, 6411, 16, 374, 7065, 478, 1961, 806, 3576, 3872, 3953, 18525, 5007, 668, 35818, 35394, 289, 2397, 15088, 14394, 2849, 11805, 7358, 12448, 8434, 670, 5941, 282, 1574, 12278, 861, 24269, 5321, 28799, 478, 404, 486, 6779, 861, 478, 672, 2603, 3173, 28799, 36252, 16755, 16697, 617, 27570, 1500, 5809, 16, 374, 282, 2630, 281, 13155, 19426, 282, 5003, 547, 24942, 944, 7065, 840, 11060, 1578, 48687, 18103, 553, 18, 15060, 16, 374, 7065, 16, 1029, 7220, 8434, 16, 322, 895, 10030, 309, 970, 5066, 16, 309, 2114, 685, 3255, 16, 510, 9848, 478, 46088, 18, 8381, 470, 21701, 9541, 17, 22079, 16, 41330, 860, 4977, 93, 1564, 2058, 31043, 4389, 29495, 37040, 4526, 18921, 637, 29308, 18, 510, 740, 5734, 16414, 27570, 16, 374, 2766, 5103, 14729, 360, 4000, 289, 28737, 6721, 16906, 12703, 505, 35818, 10839, 18, 365, 1750, 14236, 1574, 8434, 16414, 685, 373, 12998, 1957, 519, 1033, 35595, 4999, 861, 1178, 373, 22758, 685, 33091, 16414, 602, 16, 502, 481, 41433, 373, 290, 970, 16, 374, 5003, 549, 8967, 3164, 282, 529, 476, 399, 303, 39829, 4349, 18, 2667, 978, 860, 4977, 93, 1564, 3585, 10262, 11791, 607, 24777, 4534, 4039, 4209, 18, 35832, 549, 39635, 1624, 2170, 27723, 18071, 24777, 4534, 334, 21550, 28737, 16, 1029, 282, 12500, 13594, 12151, 16, 8725, 9, 39193, 8709, 16, 4609, 332, 4982, 478, 293, 11164, 408, 470, 12565, 282, 7593, 5096, 2791, 18, 28737, 47357, 281, 35067, 363, 635, 289, 20437, 1518, 334, 4533, 6216, 44465, 290, 4442, 763, 13466, 454, 4534, 2341, 11581, 3049, 11502, 21478, 309, 4518, 25, 5096, 2791, 334, 3429, 582, 2239, 16, 12086, 9, 36397, 309, 3017, 1533, 986, 18, 2949, 924, 16, 28737, 4442, 341, 13466, 454, 4534, 25778, 19938, 282, 18558, 519, 3417, 5096, 2791, 294, 9747, 4018, 779, 18, 608, 41919, 7358, 8434, 360, 439, 563, 677, 289, 35067, 8112, 510, 26017, 347, 783, 28737, 10952, 9, 24777, 4534, 18, 478, 33734, 319, 14394, 1440, 416, 8434, 289, 16485, 16, 656, 475, 575, 17613, 3559, 31958, 24665, 622, 282, 9347, 978, 16, 282, 4810, 16, 10287, 448, 26659, 16, 11419, 281, 9634, 1330, 670, 5688, 1082, 282, 50114, 28737, 10952, 45900, 434, 28143, 282, 13466, 582, 4534, 16, 374, 1623, 14340, 28131, 541, 7233, 8434, 16, 510, 2548, 29308, 18, 510, 24140, 26659, 23974, 20463, 282, 8040, 17886, 10940, 263, 334, 11791, 877, 36252, 16755, 16697, 617, 289, 18088, 3328, 16414, 395, 861, 824, 505, 3163, 16, 16414, 8709, 27570, 505, 3860, 281, 3131, 7679, 2206, 18, 2949, 978, 860, 4977, 93, 1564, 3388, 435, 477, 478, 419, 8288, 434, 470, 309, 478, 404, 486, 6779, 470, 10940, 334, 16414, 395, 28737, 18, 478, 13931, 27763, 269, 28737, 27570, 9250, 6841, 924, 16, 374, 3131, 17204, 8709, 895, 10695, 1558, 282, 3198, 12731, 7733, 26017, 8570, 24777, 4534, 16, 1029, 5548, 17602, 14617, 8351, 14667, 8434, 477, 1963, 35067, 8112, 910, 510, 2548, 9541, 17, 22079, 860, 4977, 93, 1564, 10618, 14879, 41818, 4083, 18, 478, 13571, 490, 622, 4103, 1385, 25447, 19510, 9146, 6802, 726, 2944, 3525, 13981, 16, 367, 3131, 17204, 16828, 16, 510, 2548, 45940, 478, 15210, 17, 3127, 1605, 618, 470, 6070, 1789, 712, 1051, 18, 824, 505, 3163, 16, 5836, 4096, 2353, 13446, 16, 785, 478, 677, 22254, 2010, 4045, 28479, 282, 13466, 582, 4534, 374, 17, 299, 1739, 27649, 470, 473, 19072, 448, 29104, 27594, 18, 510, 478, 18386, 18, 8381, 9979, 861, 2681, 349, 4722, 5004, 3131, 17204, 24777, 4534, 37898, 1033, 828, 309, 1939, 7418, 519, 49971, 16, 6475, 5096, 1671, 18, 365, 10882, 36350, 4767, 11400, 47236, 309, 2239, 16, 17819, 7418, 519, 1409, 6862, 16, 27, 10597, 349, 42722, 18, 32617, 17204, 28737, 349, 5004, 41626, 309, 430, 16, 27, 7418, 519, 1488, 10272, 16, 11842, 5096, 1671, 18, 365, 10882, 13965, 26844, 2239, 16, 8081, 7418, 519, 1488, 32906, 349, 26314, 18, 5333, 2175, 16, 27497, 30833, 28737, 16523, 478, 822, 39719, 294, 1760, 470, 473, 1567, 2795, 12778, 11400, 519, 1760, 32906, 13, 329, 46357, 9466, 475, 6228, 9012, 473, 960, 21490, 51, 282, 5653, 1045, 8379, 693, 925, 2511, 16, 26, 30190, 349, 42722, 814, 478, 3743, 36235, 553, 282, 19938, 8709, 12107, 16906, 12703, 35818, 38652, 24777, 4534, 18, 996, 374, 16, 3848, 1223, 16, 860, 4977, 93, 1564, 5957, 4128, 38487, 2159, 3003, 910, 510, 2548, 9216, 3463, 9487, 11828, 504, 9827, 4944, 4712, 42480, 18, 1061, 4189, 4753, 16414, 4139, 10027, 1149, 25628, 3238, 44868, 18088, 2234, 16414, 24777, 4534, 16, 2961, 3664, 10940, 281, 8040, 6876, 519, 10664, 434, 16, 12016, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 1295, 1821, 7124, 2301, 4186, 25324, 4351, 933, 8775, 3727, 1035, 265, 289, 2763, 35923, 392, 277, 18857, 555, 371, 24024, 4513, 365, 18289, 9395, 282, 24864, 1045, 289, 6405, 17809, 282, 832, 9317, 380, 16, 39674, 13205, 20293, 25856, 996, 18, 7838, 1133, 2891, 2693, 322, 10339, 4110, 309, 41295, 289, 1472, 1011, 4626, 6510, 1734, 22507, 17790, 32559, 5019, 12784, 2764, 309, 7955, 12712, 18, 31224, 30, 6706, 808, 24024, 2973, 365, 18289, 9395, 282, 24864, 1045, 29140, 322, 475, 10359, 25324, 4351, 933, 8775, 3727, 1035, 265, 16, 2763, 35923, 392, 277, 289, 2326, 17621, 30, 3333, 8044, 4176, 751, 16, 1763, 34959, 3239, 670, 726, 1011, 36109, 41718, 5612, 275, 31328, 5549, 510, 15463, 1335, 17980, 7475 ]
[ 45378, 282, 7705, 15095, 13103, 289, 47157, 12458, 798, 996, 264, 411, 30851, 4809, 1134, 16, 3110, 47208, 18, 34879, 16, 1029, 840, 18913, 282, 15959, 7085, 565, 2404, 69, 16322, 69, 16, 43267, 309, 5137, 26515, 917, 21917, 742, 411, 12343, 8775, 281, 3649, 26774, 411, 1888, 10247, 9893, 16, 322, 18581, 360, 365, 18289, 9395, 18, 46887, 304, 1810, 996, 264, 2756, 40619, 14396, 4760, 16, 2302, 447, 4749, 27259, 5313, 14135, 42754, 18, 41391, 31663, 1887, 639, 8659, 34197, 5630, 4176, 7734, 16, 367, 1038, 29030, 16, 2319, 745, 17447, 751, 309, 3531, 2223, 25364, 289, 2006, 19480, 1717, 697, 18, 5602, 668, 3961, 996, 272, 35849, 29721, 309, 6359, 292, 289, 45854, 746, 292, 30, 25324, 4351, 1133, 21917, 1157, 33060, 1472, 381, 7916, 320, 636, 16169, 1016, 360, 24824, 432, 3342, 8155, 16, 1715, 322, 4115, 274, 8915, 290, 11337, 1512, 18, 12824, 411, 29103, 11861, 16, 30670, 2482, 40071, 5406, 16, 3929, 7792, 294, 3881, 321, 1306, 360, 43391, 542, 28694, 1081, 30, 23024, 289, 9916, 10799, 381, 24024, 4513, 365, 18289, 9395, 16, 28631, 2024, 685, 492, 583, 289, 2486, 24232, 857, 505, 23818, 22614, 43391, 542, 10512, 1081, 16, 46733, 3789, 7159, 460, 2822, 31889, 37000, 375, 539, 15042, 8577, 18, 7909, 1500, 9031, 294, 20151, 3773, 344, 19349, 281, 14400, 932, 16, 1754, 1655, 27037, 16, 515, 2512, 23546, 309, 7827, 16, 988, 478, 370, 4085, 10442, 37140, 891, 975, 44580, 8965, 289, 2513, 435, 5997, 6839, 12704, 910, 6443, 41246, 11113, 1081, 26739, 1383, 419, 3806, 4260, 18, 43391, 883, 28694, 1510, 1038, 9112, 18398, 9405, 27443, 16, 2113, 14960, 1195, 901, 26100, 47596, 16, 33904, 411, 47794, 289, 14718, 289, 20764, 468, 16, 6042, 2284, 294, 592, 272, 2535, 18, 20259, 879, 996, 38041, 12479, 3447, 45304, 17790, 309, 5137, 14183, 45348, 30, 11875, 16, 5241, 1453, 282, 10705, 2719, 365, 18289, 9395, 289, 1969, 379, 5800, 282, 1888, 6594, 439, 10089, 3141, 718, 25088, 1011, 24864, 779, 31, 12589, 29721, 16, 961, 29039, 23370, 1631, 282, 3727, 1035, 1751, 670, 17144, 4364, 16, 374, 492, 8542, 282, 4413, 2468, 31, 19946, 548, 670, 12768, 43166, 16, 42886, 541, 12343, 8775, 289, 4094, 1453, 282, 10844, 24672, 38585, 9355, 1011, 24024, 2973, 365, 18289, 9395, 31, 7969, 41489, 16, 3592, 3626, 6874, 541, 15429, 8214, 7619, 49281, 1512, 18, 478, 677, 3727, 1035, 1751, 417, 15936, 11875, 16, 8380, 2508, 5067, 16, 6232, 342, 5583, 282, 3580, 282, 4101, 3142, 505, 10785, 16, 289, 29721, 282, 6342, 4486, 16111, 13897, 4176, 7734, 16, 7730, 1453, 1833, 1011, 6459, 779, 16, 510, 4848, 996, 18, 510, 5161, 16, 282, 832, 9317, 707, 5668, 751, 5270, 7620, 5169, 1241, 307, 307, 512, 30, 1542, 18203, 274, 6605, 4419, 282, 2763, 35923, 392, 482, 16, 515, 1143, 13477, 322, 48981, 18, 11474, 1223, 16, 745, 49601, 428, 445, 411, 17, 431, 365, 18289, 9395, 861, 13353, 5807, 4699, 16, 334, 4734, 31663, 1887, 16, 13717, 5517, 2236, 411, 7032, 978, 16848, 40948, 507, 1241, 307, 542, 34788, 27907, 16, 25586, 3499, 20215, 1569, 282, 21917, 1157, 2763, 35923, 392, 429, 18, 817, 27557, 811, 282, 832, 9317, 380, 282, 31964, 12820, 613, 16, 988, 289, 3826, 16, 374, 8297, 1569, 23705, 309, 505, 34397, 18, 365, 3106, 4758, 27912, 996, 7332, 45854, 485, 33213, 3138, 268, 14807, 21800, 820, 16, 1029, 685, 47292, 3727, 1035, 512, 16, 10353, 48557, 282, 832, 9317, 707, 16, 367, 764, 5747, 685, 14127, 282, 9179, 2127, 7624, 1066, 45763, 746, 473, 431, 8701, 9139, 4793, 2923, 9578, 31982, 289, 30579, 13, 282, 3106, 13799, 587, 1917, 34041, 18, 640, 9688, 464, 4733, 1004, 17978, 3422, 21800, 820, 510, 27182, 1205, 18, 996, 14782, 16, 374, 289, 1177, 12681, 44483, 411, 3727, 1035, 265, 282, 832, 9317, 380, 1011, 24024, 2973, 18, 2871, 6520, 5981, 3225, 3089, 289, 11232, 1046, 626, 2339, 360, 19349, 4717, 18, 365, 2343, 907, 282, 284, 18, 358, 18, 17097, 464, 14293, 42303, 1577, 22930, 45854, 668, 9688, 552, 309, 34397, 1360, 20289, 4028, 23276, 11387, 2376, 2725, 18325, 18, 10105, 6573, 2400, 4583, 3702, 16, 39610, 309, 35120, 464, 16, 4004, 547, 541, 5791, 3727, 1035, 512, 18, 11333, 13061, 31665, 8389, 1694, 282, 832, 9317, 707, 322, 17626, 18, 996, 25482, 16, 374, 5906, 17790, 18839, 2911, 664, 12978, 309, 20541, 5939, 832, 264, 35812, 13104, 24783, 289, 41649, 11042, 10323, 323, 16, 3168, 3055, 1933, 382, 1251, 1807, 18, 478, 677, 25838, 16, 870, 1749, 22752, 309, 5211, 371, 5606, 2202, 1165, 24024, 2973, 670, 575, 8926, 20958, 360, 20151, 9782, 16, 349, 13952, 1634, 8775, 282, 2083, 19349, 910, 510, 4725, 996, 18, 365, 502, 575, 808, 15832, 4601, 1788, 16, 374, 5734, 3447, 3799, 286, 687, 541, 36003, 2702, 35041, 432, 2954, 18, 1367, 46275, 649, 35125, 11232, 20781, 523, 16, 30625, 289, 21671, 16, 1046, 626, 2339, 360, 365, 18289, 9395, 16, 322, 17468, 15371, 510, 4302, 8377, 883, 290, 1129, 1139, 322, 5092, 18, 2949, 19603, 16, 996, 36774, 2904, 309, 19801, 9179, 933, 11944, 334, 5083, 24024, 2973, 47596, 18, 1178, 282, 9578, 2145, 16, 5301, 492, 16, 4770, 670, 7010, 1250, 282, 1750, 24824, 434, 37956, 6938, 3696, 5802, 3672, 30660, 289, 15415, 309, 3961, 5067, 16, 502, 6383, 986, 2158, 11538, 1745, 322, 10339, 3064, 309, 47023, 16, 1055, 12820, 873, 2419, 322, 6405, 12978, 18, 12092, 1011, 978, 492, 41999, 3674, 309, 7955, 12712, 282, 832, 9317, 707, 289, 824, 321, 1159, 823, 18, 478, 44101, 4490, 15463, 10842, 8055, 309, 3586, 16, 34140, 520, 1085, 17, 3697, 24024, 3173, 365, 18289, 9395, 289, 2319, 6405, 12978, 870, 1749, 16, 510, 9299, 996, 18, 510, 2046, 34197, 3400, 17790, 656, 322, 28511, 2002, 18, 48336, 309, 1177, 1247, 281, 1851, 17, 3697, 6497, 1330, 1139, 44384, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 4055, 17, 277, 28220, 7561, 2665, 14775, 1880, 478, 13781, 470, 34611, 847, 281, 478, 677, 350, 328, 5499, 910, 367, 478, 35807, 842, 470, 5892, 1788, 282, 4446, 294, 478, 3693, 298, 861, 727, 3548, 429, 2986, 14769, 18569, 13437, 6453, 5237, 1636, 18, 34735, 32325, 2147, 895, 23090, 14007, 718, 21291, 18, 5043, 16, 334, 4734, 14971, 16, 478, 48276, 346, 7977, 470, 14774, 7638, 17, 326, 1484, 322, 8945, 18, 31224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 45378, 282, 7705, 15095, 13103, 289, 47157, 12458, 798, 996, 264, 411, 30851, 4809, 1134, 16, 3110, 47208, 18, 34879, 16, 1029, 840, 18913, 282, 15959, 7085, 565, 2404, 69, 16322, 69, 16, 43267, 309, 5137, 26515, 917, 21917, 742, 411, 12343, 8775, 281, 3649, 26774, 411, 1888, 10247, 9893, 16, 322, 18581, 360, 365, 18289, 9395, 18, 46887, 304, 1810, 996, 264, 2756, 40619, 14396, 4760, 16, 2302, 447, 4749, 27259, 5313, 14135, 42754, 18, 41391, 31663, 1887, 639, 8659, 34197, 5630, 4176, 7734, 16, 367, 1038, 29030, 16, 2319, 745, 17447, 751, 309, 3531, 2223, 25364, 289, 2006, 19480, 1717, 697, 18, 5602, 668, 3961, 996, 272, 35849, 29721, 309, 6359, 292, 289, 45854, 746, 292, 30, 25324, 4351, 1133, 21917, 1157, 33060, 1472, 381, 7916, 320, 636, 16169, 1016, 360, 24824, 432, 3342, 8155, 16, 1715, 322, 4115, 274, 8915, 290, 11337, 1512, 18, 12824, 411, 29103, 11861, 16, 30670, 2482, 40071, 5406, 16, 3929, 7792, 294, 3881, 321, 1306, 360, 43391, 542, 28694, 1081, 30, 23024, 289, 9916, 10799, 381, 24024, 4513, 365, 18289, 9395, 16, 28631, 2024, 685, 492, 583, 289, 2486, 24232, 857, 505, 23818, 22614, 43391, 542, 10512, 1081, 16, 46733, 3789, 7159, 460, 2822, 31889, 37000, 375, 539, 15042, 8577, 18, 7909, 1500, 9031, 294, 20151, 3773, 344, 19349, 281, 14400, 932, 16, 1754, 1655, 27037, 16, 515, 2512, 23546, 309, 7827, 16, 988, 478, 370, 4085, 10442, 37140, 891, 975, 44580, 8965, 289, 2513, 435, 5997, 6839, 12704, 910, 6443, 41246, 11113, 1081, 26739, 1383, 419, 3806, 4260, 18, 43391, 883, 28694, 1510, 1038, 9112, 18398, 9405, 27443, 16, 2113, 14960, 1195, 901, 26100, 47596, 16, 33904, 411, 47794, 289, 14718, 289, 20764, 468, 16, 6042, 2284, 294, 592, 272, 2535, 18, 20259, 879, 996, 38041, 12479, 3447, 45304, 17790, 309, 5137, 14183, 45348, 30, 11875, 16, 5241, 1453, 282, 10705, 2719, 365, 18289, 9395, 289, 1969, 379, 5800, 282, 1888, 6594, 439, 10089, 3141, 718, 25088, 1011, 24864, 779, 31, 12589, 29721, 16, 961, 29039, 23370, 1631, 282, 3727, 1035, 1751, 670, 17144, 4364, 16, 374, 492, 8542, 282, 4413, 2468, 31, 19946, 548, 670, 12768, 43166, 16, 42886, 541, 12343, 8775, 289, 4094, 1453, 282, 10844, 24672, 38585, 9355, 1011, 24024, 2973, 365, 18289, 9395, 31, 7969, 41489, 16, 3592, 3626, 6874, 541, 15429, 8214, 7619, 49281, 1512, 18, 478, 677, 3727, 1035, 1751, 417, 15936, 11875, 16, 8380, 2508, 5067, 16, 6232, 342, 5583, 282, 3580, 282, 4101, 3142, 505, 10785, 16, 289, 29721, 282, 6342, 4486, 16111, 13897, 4176, 7734, 16, 7730, 1453, 1833, 1011, 6459, 779, 16, 510, 4848, 996, 18, 510, 5161, 16, 282, 832, 9317, 707, 5668, 751, 5270, 7620, 5169, 1241, 307, 307, 512, 30, 1542, 18203, 274, 6605, 4419, 282, 2763, 35923, 392, 482, 16, 515, 1143, 13477, 322, 48981, 18, 11474, 1223, 16, 745, 49601, 428, 445, 411, 17, 431, 365, 18289, 9395, 861, 13353, 5807, 4699, 16, 334, 4734, 31663, 1887, 16, 13717, 5517, 2236, 411, 7032, 978, 16848, 40948, 507, 1241, 307, 542, 34788, 27907, 16, 25586, 3499, 20215, 1569, 282, 21917, 1157, 2763, 35923, 392, 429, 18, 817, 27557, 811, 282, 832, 9317, 380, 282, 31964, 12820, 613, 16, 988, 289, 3826, 16, 374, 8297, 1569, 23705, 309, 505, 34397, 18, 365, 3106, 4758, 27912, 996, 7332, 45854, 485, 33213, 3138, 268, 14807, 21800, 820, 16, 1029, 685, 47292, 3727, 1035, 512, 16, 10353, 48557, 282, 832, 9317, 707, 16, 367, 764, 5747, 685, 14127, 282, 9179, 2127, 7624, 1066, 45763, 746, 473, 431, 8701, 9139, 4793, 2923, 9578, 31982, 289, 30579, 13, 282, 3106, 13799, 587, 1917, 34041, 18, 640, 9688, 464, 4733, 1004, 17978, 3422, 21800, 820, 510, 27182, 1205, 18, 996, 14782, 16, 374, 289, 1177, 12681, 44483, 411, 3727, 1035, 265, 282, 832, 9317, 380, 1011, 24024, 2973, 18, 2871, 6520, 5981, 3225, 3089, 289, 11232, 1046, 626, 2339, 360, 19349, 4717, 18, 365, 2343, 907, 282, 284, 18, 358, 18, 17097, 464, 14293, 42303, 1577, 22930, 45854, 668, 9688, 552, 309, 34397, 1360, 20289, 4028, 23276, 11387, 2376, 2725, 18325, 18, 10105, 6573, 2400, 4583, 3702, 16, 39610, 309, 35120, 464, 16, 4004, 547, 541, 5791, 3727, 1035, 512, 18, 11333, 13061, 31665, 8389, 1694, 282, 832, 9317, 707, 322, 17626, 18, 996, 25482, 16, 374, 5906, 17790, 18839, 2911, 664, 12978, 309, 20541, 5939, 832, 264, 35812, 13104, 24783, 289, 41649, 11042, 10323, 323, 16, 3168, 3055, 1933, 382, 1251, 1807, 18, 478, 677, 25838, 16, 870, 1749, 22752, 309, 5211, 371, 5606, 2202, 1165, 24024, 2973, 670, 575, 8926, 20958, 360, 20151, 9782, 16, 349, 13952, 1634, 8775, 282, 2083, 19349, 910, 510, 4725, 996, 18, 365, 502, 575, 808, 15832, 4601, 1788, 16, 374, 5734, 3447, 3799, 286, 687, 541, 36003, 2702, 35041, 432, 2954, 18, 1367, 46275, 649, 35125, 11232, 20781, 523, 16, 30625, 289, 21671, 16, 1046, 626, 2339, 360, 365, 18289, 9395, 16, 322, 17468, 15371, 510, 4302, 8377, 883, 290, 1129, 1139, 322, 5092, 18, 2949, 19603, 16, 996, 36774, 2904, 309, 19801, 9179, 933, 11944, 334, 5083, 24024, 2973, 47596, 18, 1178, 282, 9578, 2145, 16, 5301, 492, 16, 4770, 670, 7010, 1250, 282, 1750, 24824, 434, 37956, 6938, 3696, 5802, 3672, 30660, 289, 15415, 309, 3961, 5067, 16, 502, 6383, 986, 2158, 11538, 1745, 322, 10339, 3064, 309, 47023, 16, 1055, 12820, 873, 2419, 322, 6405, 12978, 18, 12092, 1011, 978, 492, 41999, 3674, 309, 7955, 12712, 282, 832, 9317, 707, 289, 824, 321, 1159, 823, 18, 478, 44101, 4490, 15463, 10842, 8055, 309, 3586, 16, 34140, 520, 1085, 17, 3697, 24024, 3173, 365, 18289, 9395, 289, 2319, 6405, 12978, 870, 1749, 16, 510, 9299, 996, 18, 510, 2046, 34197, 3400, 17790, 656, 322, 28511, 2002, 18, 48336, 309, 1177, 1247, 281, 1851, 17, 3697, 6497, 1330, 1139, 44384, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 4055, 17, 277, 28220, 7561, 2665, 14775, 1880, 478, 13781, 470, 34611, 847, 281, 478, 677, 350, 328, 5499, 910, 367, 478, 35807, 842, 470, 5892, 1788, 282, 4446, 294, 478, 3693, 298, 861, 727, 3548, 429, 2986, 14769, 18569, 13437, 6453, 5237, 1636, 18, 34735, 32325, 2147, 895, 23090, 14007, 718, 21291, 18, 5043, 16, 334, 4734, 14971, 16, 478, 48276, 346, 7977, 470, 14774, 7638, 17, 326, 1484, 322, 8945, 18, 31224 ]
[ 30, 677, 10882, 2384, 1313, 478, 6115, 303, 3035, 470, 510, 478, 684, 9429, 296, 4069, 470, 41905, 4055, 17, 295, 3676, 7561, 2665, 18, 37153, 10434, 16, 1276, 26958, 309, 13216, 25421, 411, 7638, 17, 38915, 16, 11762, 906, 6332, 16410, 18, 2046, 2117, 322, 7235, 364, 5656, 774, 42463, 6175, 353, 289, 282, 6031, 22588, 3136, 23642, 537, 19090, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 6115, 303, 3035, 470, 651, 478, 684, 9429, 296, 4069, 861, 11333, 26070, 13767, 42745, 282, 11877, 289, 10666, 18, 450, 12628, 510, 17317, 328, 332, 2418, 4238, 16, 36940, 7727, 16, 478, 630, 8596, 778, 910, 1281, 30, 3161, 21014, 2839, 345, 4767, 504, 684, 478, 780, 2025, 2587, 470, 309, 10882, 30, 430, 18, 2932, 510, 1286, 18, 7181, 510, 2261, 18, 646, 14427, 9680, 478, 13781, 470, 9543, 4926, 375, 840, 12741, 349, 21971, 7977, 281, 41445, 18, 24212, 18380, 16, 14818, 2200, 28637, 3315, 304, 16, 30020, 18998, 11285, 14774, 7638, 17, 38915, 3508, 5689, 23305, 1519, 309, 1421, 7977, 18, 27784, 296, 10365, 727, 339, 24832, 322, 12329, 16, 428, 4926, 375, 4296, 965, 567, 808, 37358, 281, 478, 35807, 26100, 861, 30205, 320, 16, 7571, 451, 5280, 979, 40896, 5409, 429, 669, 473, 964, 27871, 3050, 1993, 3407, 1197, 18109, 16, 294, 15695, 16, 282, 6031, 906, 9650, 798, 16, 289, 281, 478, 677, 350, 328, 5499, 470, 492, 18908, 5304, 934, 24983, 1874, 23028, 309, 1551, 957, 18, 640, 566, 742, 478, 677, 350, 328, 1018, 470, 6363, 11973, 5273, 16, 374, 7814, 4926, 884, 309, 9680, 680, 41093, 510, 3084, 11382, 541, 474, 16227, 680, 4966, 18, 824, 505, 4734, 16, 935, 5689, 1166, 16075, 35065, 49353, 10171, 13145, 459, 4130, 263, 510, 322, 4116, 26428, 19923, 541, 14775, 4472, 16, 3176, 30020, 36978, 13742, 4926, 884, 18, 2046, 4926, 375, 322, 15061, 1211, 18, 478, 4182, 3478, 12606, 6807, 281, 1856, 3317, 567, 808, 4466, 35, 889, 939, 1139, 18, 985, 6922, 18, 365, 5633, 808, 541, 978, 912, 475, 16820, 376, 289, 6807, 16, 289, 3692, 910, 510, 1109, 38331, 14775, 4472, 478, 24659, 17, 25974, 6035, 309, 4862, 861, 824, 505, 3163, 16, 282, 11877, 25467, 8232, 20168, 10133, 18, 478, 4348, 2117, 339, 1279, 14157, 4966, 16, 1586, 16, 282, 970, 2875, 16, 2397, 3952, 2297, 1020, 643, 7492, 12496, 523, 16, 510, 2548, 4926, 375, 18, 510, 640, 2218, 2193, 16, 478, 677, 350, 328, 332, 470, 1314, 3164, 282, 21311, 4349, 861, 27784, 296, 14791, 14697, 16, 9705, 16, 11680, 282, 970, 16, 374, 478, 13781, 470, 478, 677, 350, 328, 1528, 470, 47528, 18, 7974, 11093, 5269, 289, 5875, 875, 399, 2725, 612, 6881, 16, 374, 478, 13781, 910, 428, 289, 478, 35807, 842, 910, 18222, 478, 298, 23580, 454, 470, 749, 21356, 18, 478, 31686, 12789, 294, 2222, 16, 374, 813, 20427, 2072, 2197, 1771, 5888, 1251, 9917, 4868, 282, 803, 11258, 510, 453, 22023, 478, 288, 17189, 470, 10133, 910, 510, 2815, 11093, 5269, 478, 7530, 363, 476, 861, 2215, 1183, 510, 15153, 269, 2418, 4238, 16, 36940, 2215, 1183, 16, 478, 682, 3245, 910, 1760, 30, 3161, 1286, 18, 3161, 510, 816, 18, 5584, 510, 430, 18, 12695, 1178, 478, 822, 10161, 269, 470, 3957, 22607, 460, 1519, 3303, 4269, 16, 502, 14393, 874, 975, 1513, 282, 7252, 8267, 18, 640, 44435, 10434, 40540, 476, 13408, 4654, 9697, 467, 478, 789, 1083, 1183, 470, 289, 14775, 778, 478, 31742, 300, 861, 478, 16443, 1191, 1183, 470, 510, 25883, 11178, 868, 18, 34165, 4183, 16883, 478, 16443, 1191, 1183, 470, 478, 822, 10161, 344, 470, 46621, 16536, 315, 510, 430, 30, 25, 18, 2046, 13557, 367, 1445, 1191, 1502, 873, 8074, 326, 30747, 1907, 18, 365, 4810, 16, 5284, 2158, 478, 16443, 1191, 1183, 470, 10313, 4583, 1423, 4698, 8955, 281, 3915, 4120, 18, 1681, 11607, 2497, 12097, 13356, 14954, 473, 27946, 40483, 37026, 34445, 343, 492, 41996, 10722, 8300, 17799, 4966, 13, 309, 36934, 19121, 538, 478, 684, 9429, 296, 4069, 861, 9703, 20385, 285, 510, 29368, 390, 10237, 2418, 4238, 16, 36940, 17643, 16, 478, 19059, 20385, 285, 910, 1939, 30, 3161, 430, 18, 6654, 510, 1061, 18, 646, 510, 1533, 18, 646, 29718, 6637, 478, 19059, 20385, 285, 470, 1190, 726, 8026, 3064, 16, 367, 519, 28444, 442, 5203, 523, 413, 2986, 726, 322, 11763, 18, 478, 19059, 20385, 285, 910, 5548, 10212, 22542, 411, 16180, 5538, 309, 16568, 416, 12159, 430, 19, 24, 21451, 16, 9518, 895, 519, 7470, 874, 477, 25235, 17689, 16, 322, 17334, 290, 6250, 15100, 28941, 5706, 18, 12250, 263, 1756, 3216, 411, 13980, 3340, 30956, 282, 27596, 445, 9410, 18, 32310, 24039, 18, 478, 732, 526, 265, 390, 10237, 470, 575, 8460, 281, 12734, 322, 7696, 18, 27025, 411, 28339, 2446, 9225, 1912, 17, 263, 1756, 289, 23587, 13557, 322, 10313, 4583, 537, 2059, 9764, 18, 5043, 16, 360, 10580, 25421, 478, 732, 526, 265, 390, 10237, 470, 965, 16, 3073, 16, 7476, 2378, 364, 18, 23033, 315, 12022, 282, 502, 16, 374, 22569, 673, 380, 873, 351, 1663, 675, 16538, 4256, 717, 19629, 16432, 1188, 1760, 17, 277, 14251, 16, 2486, 4373, 9225, 478, 6115, 303, 3035, 861, 9703, 33284, 297, 510, 43526, 300, 2261, 4238, 16, 10666, 42499, 16, 478, 47604, 297, 910, 2418, 30, 3161, 491, 18, 5041, 510, 816, 18, 2932, 510, 816, 18, 2932, 18206, 28035, 953, 8111, 416, 510, 478, 47604, 297, 470, 289, 478, 31742, 300, 470, 49387, 530, 2151, 9511, 5538, 18, 20346, 4966, 39488, 282, 37131, 962, 14378, 2665, 18, 478, 47604, 297, 470, 21035, 478, 1295, 441, 306, 910, 367, 478, 31742, 300, 470, 25469, 478, 677, 8076, 307, 861, 365, 12899, 38369, 25124, 27283, 808, 16, 1333, 42222, 289, 899, 3467, 8960, 597, 18, 2046, 10133, 9934, 282, 10666, 510, 1612, 309, 18172, 16, 3903, 373, 16, 8585, 18, 2171, 1633, 912, 289, 329, 8432, 11701, 16, 289, 329, 14775, 4472, 18, 1598, 17, 431, 590, 3346, 1993, 3494, 8068, 3209, 10927, 5505, 13617, 28638, 778, 25236, 478, 19059, 20385, 419, 470, 1034, 884, 18, 608, 478, 31742, 455, 470, 334, 3217, 575, 8386, 309, 4577, 322, 11981, 19028, 452, 28848, 298, 2977, 18, 31990, 1183, 510, 4015, 547, 262, 3733, 2261, 4238, 16, 10666, 30562, 9201, 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 ]
[ 30, 677, 10882, 2384, 1313, 478, 6115, 303, 3035, 470, 510, 478, 684, 9429, 296, 4069, 470, 41905, 4055, 17, 295, 3676, 7561, 2665, 18, 37153, 10434, 16, 1276, 26958, 309, 13216, 25421, 411, 7638, 17, 38915, 16, 11762, 906, 6332, 16410, 18, 2046, 2117, 322, 7235, 364, 5656, 774, 42463, 6175, 353, 289, 282, 6031, 22588, 3136, 23642, 537, 19090, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 478, 6115, 303, 3035, 470, 651, 478, 684, 9429, 296, 4069, 861, 11333, 26070, 13767, 42745, 282, 11877, 289, 10666, 18, 450, 12628, 510, 17317, 328, 332, 2418, 4238, 16, 36940, 7727, 16, 478, 630, 8596, 778, 910, 1281, 30, 3161, 21014, 2839, 345, 4767, 504, 684, 478, 780, 2025, 2587, 470, 309, 10882, 30, 430, 18, 2932, 510, 1286, 18, 7181, 510, 2261, 18, 646, 14427, 9680, 478, 13781, 470, 9543, 4926, 375, 840, 12741, 349, 21971, 7977, 281, 41445, 18, 24212, 18380, 16, 14818, 2200, 28637, 3315, 304, 16, 30020, 18998, 11285, 14774, 7638, 17, 38915, 3508, 5689, 23305, 1519, 309, 1421, 7977, 18, 27784, 296, 10365, 727, 339, 24832, 322, 12329, 16, 428, 4926, 375, 4296, 965, 567, 808, 37358, 281, 478, 35807, 26100, 861, 30205, 320, 16, 7571, 451, 5280, 979, 40896, 5409, 429, 669, 473, 964, 27871, 3050, 1993, 3407, 1197, 18109, 16, 294, 15695, 16, 282, 6031, 906, 9650, 798, 16, 289, 281, 478, 677, 350, 328, 5499, 470, 492, 18908, 5304, 934, 24983, 1874, 23028, 309, 1551, 957, 18, 640, 566, 742, 478, 677, 350, 328, 1018, 470, 6363, 11973, 5273, 16, 374, 7814, 4926, 884, 309, 9680, 680, 41093, 510, 3084, 11382, 541, 474, 16227, 680, 4966, 18, 824, 505, 4734, 16, 935, 5689, 1166, 16075, 35065, 49353, 10171, 13145, 459, 4130, 263, 510, 322, 4116, 26428, 19923, 541, 14775, 4472, 16, 3176, 30020, 36978, 13742, 4926, 884, 18, 2046, 4926, 375, 322, 15061, 1211, 18, 478, 4182, 3478, 12606, 6807, 281, 1856, 3317, 567, 808, 4466, 35, 889, 939, 1139, 18, 985, 6922, 18, 365, 5633, 808, 541, 978, 912, 475, 16820, 376, 289, 6807, 16, 289, 3692, 910, 510, 1109, 38331, 14775, 4472, 478, 24659, 17, 25974, 6035, 309, 4862, 861, 824, 505, 3163, 16, 282, 11877, 25467, 8232, 20168, 10133, 18, 478, 4348, 2117, 339, 1279, 14157, 4966, 16, 1586, 16, 282, 970, 2875, 16, 2397, 3952, 2297, 1020, 643, 7492, 12496, 523, 16, 510, 2548, 4926, 375, 18, 510, 640, 2218, 2193, 16, 478, 677, 350, 328, 332, 470, 1314, 3164, 282, 21311, 4349, 861, 27784, 296, 14791, 14697, 16, 9705, 16, 11680, 282, 970, 16, 374, 478, 13781, 470, 478, 677, 350, 328, 1528, 470, 47528, 18, 7974, 11093, 5269, 289, 5875, 875, 399, 2725, 612, 6881, 16, 374, 478, 13781, 910, 428, 289, 478, 35807, 842, 910, 18222, 478, 298, 23580, 454, 470, 749, 21356, 18, 478, 31686, 12789, 294, 2222, 16, 374, 813, 20427, 2072, 2197, 1771, 5888, 1251, 9917, 4868, 282, 803, 11258, 510, 453, 22023, 478, 288, 17189, 470, 10133, 910, 510, 2815, 11093, 5269, 478, 7530, 363, 476, 861, 2215, 1183, 510, 15153, 269, 2418, 4238, 16, 36940, 2215, 1183, 16, 478, 682, 3245, 910, 1760, 30, 3161, 1286, 18, 3161, 510, 816, 18, 5584, 510, 430, 18, 12695, 1178, 478, 822, 10161, 269, 470, 3957, 22607, 460, 1519, 3303, 4269, 16, 502, 14393, 874, 975, 1513, 282, 7252, 8267, 18, 640, 44435, 10434, 40540, 476, 13408, 4654, 9697, 467, 478, 789, 1083, 1183, 470, 289, 14775, 778, 478, 31742, 300, 861, 478, 16443, 1191, 1183, 470, 510, 25883, 11178, 868, 18, 34165, 4183, 16883, 478, 16443, 1191, 1183, 470, 478, 822, 10161, 344, 470, 46621, 16536, 315, 510, 430, 30, 25, 18, 2046, 13557, 367, 1445, 1191, 1502, 873, 8074, 326, 30747, 1907, 18, 365, 4810, 16, 5284, 2158, 478, 16443, 1191, 1183, 470, 10313, 4583, 1423, 4698, 8955, 281, 3915, 4120, 18, 1681, 11607, 2497, 12097, 13356, 14954, 473, 27946, 40483, 37026, 34445, 343, 492, 41996, 10722, 8300, 17799, 4966, 13, 309, 36934, 19121, 538, 478, 684, 9429, 296, 4069, 861, 9703, 20385, 285, 510, 29368, 390, 10237, 2418, 4238, 16, 36940, 17643, 16, 478, 19059, 20385, 285, 910, 1939, 30, 3161, 430, 18, 6654, 510, 1061, 18, 646, 510, 1533, 18, 646, 29718, 6637, 478, 19059, 20385, 285, 470, 1190, 726, 8026, 3064, 16, 367, 519, 28444, 442, 5203, 523, 413, 2986, 726, 322, 11763, 18, 478, 19059, 20385, 285, 910, 5548, 10212, 22542, 411, 16180, 5538, 309, 16568, 416, 12159, 430, 19, 24, 21451, 16, 9518, 895, 519, 7470, 874, 477, 25235, 17689, 16, 322, 17334, 290, 6250, 15100, 28941, 5706, 18, 12250, 263, 1756, 3216, 411, 13980, 3340, 30956, 282, 27596, 445, 9410, 18, 32310, 24039, 18, 478, 732, 526, 265, 390, 10237, 470, 575, 8460, 281, 12734, 322, 7696, 18, 27025, 411, 28339, 2446, 9225, 1912, 17, 263, 1756, 289, 23587, 13557, 322, 10313, 4583, 537, 2059, 9764, 18, 5043, 16, 360, 10580, 25421, 478, 732, 526, 265, 390, 10237, 470, 965, 16, 3073, 16, 7476, 2378, 364, 18, 23033, 315, 12022, 282, 502, 16, 374, 22569, 673, 380, 873, 351, 1663, 675, 16538, 4256, 717, 19629, 16432, 1188, 1760, 17, 277, 14251, 16, 2486, 4373, 9225, 478, 6115, 303, 3035, 861, 9703, 33284, 297, 510, 43526, 300, 2261, 4238, 16, 10666, 42499, 16, 478, 47604, 297, 910, 2418, 30, 3161, 491, 18, 5041, 510, 816, 18, 2932, 510, 816, 18, 2932, 18206, 28035, 953, 8111, 416, 510, 478, 47604, 297, 470, 289, 478, 31742, 300, 470, 49387, 530, 2151, 9511, 5538, 18, 20346, 4966, 39488, 282, 37131, 962, 14378, 2665, 18, 478, 47604, 297, 470, 21035, 478, 1295, 441, 306, 910, 367, 478, 31742, 300, 470, 25469, 478, 677, 8076, 307, 861, 365, 12899, 38369, 25124, 27283, 808, 16, 1333, 42222, 289, 899, 3467, 8960, 597, 18, 2046, 10133, 9934, 282, 10666, 510, 1612, 309, 18172, 16, 3903, 373, 16, 8585, 18, 2171, 1633, 912, 289, 329, 8432, 11701, 16, 289, 329, 14775, 4472, 18, 1598, 17, 431, 590, 3346, 1993, 3494, 8068, 3209, 10927, 5505, 13617, 28638, 778, 25236, 478, 19059, 20385, 419, 470, 1034, 884, 18, 608, 478, 31742, 455, 470, 334, 3217, 575, 8386, 309, 4577, 322, 11981, 19028, 452, 28848, 298, 2977, 18, 31990, 1183, 510, 4015, 547, 262, 3733, 2261, 4238, 16, 10666, 30562, 9201, 16 ]
[ 478, 29428, 910, 2123, 30, 646, 430, 18, 12695, 510, 816, 18, 5584, 510, 1286, 18, 3161, 478, 789, 1083, 1183, 910, 2615, 14007, 2665, 16, 1320, 3957, 282, 2297, 1020, 643, 382, 18, 478, 15164, 547, 262, 3733, 470, 575, 9518, 16, 942, 2023, 16, 519, 7470, 1211, 18, 12404, 520, 486, 2786, 1265, 341, 395, 322, 16684, 16, 367, 282, 4698, 7192, 788, 454, 745, 7006, 520, 10585, 4716, 18, 9833, 418, 2640, 282, 21555, 4903, 286, 18, 5181, 16, 282, 4018, 1045, 282, 30562, 23852, 478, 789, 1083, 1183, 470, 13309, 36462, 18, 7909, 15258, 1162, 7193, 32026, 48372, 281, 478, 31742, 5325, 910, 367, 971, 46621, 478, 822, 10161, 344, 861, 25582, 18731, 13557, 478, 789, 1083, 1183, 470, 49414, 687, 309, 36934, 18, 2776, 513, 548, 510, 4059, 276, 1068, 2261, 4238, 16, 10666, 16762, 16, 478, 23441, 910, 1281, 30, 646, 430, 18, 5737, 510, 816, 18, 12695, 510, 1032, 18, 6654, 478, 13802, 513, 548, 470, 282, 3321, 263, 360, 25421, 18, 1787, 924, 16, 753, 8969, 16171, 309, 15291, 552, 16, 49211, 680, 10434, 16410, 18267, 428, 3545, 18, 439, 1215, 282, 36976, 2665, 478, 13802, 513, 548, 470, 23054, 322, 282, 2433, 1882, 18, 365, 11946, 3216, 281, 16101, 2665, 4223, 282, 23708, 300, 16, 2566, 743, 478, 15164, 547, 262, 3733, 861, 41651, 16, 374, 2117, 20452, 322, 309, 9716, 478, 618, 987, 263, 17, 1098, 278, 6761, 910, 367, 309, 21138, 26225, 478, 23441, 861, 824, 4734, 8300, 17799, 478, 13802, 19308, 470, 20888, 25451, 37115, 17, 11844, 420, 10788, 16, 1177, 5809, 856, 709, 309, 3198, 4466, 18, 478, 2176, 478, 618, 987, 263, 16762, 470, 4577, 19722, 2844, 18, 439, 1373, 1595, 32689, 18, 1345, 294, 3130, 17573, 18, 8615, 19015, 309, 9878, 26225, 19514, 915, 2911, 28953, 965, 18, 5257, 656, 49601, 861, 632, 20525, 510, 19792, 842, 2261, 4238, 16, 10666, 12061, 328, 16, 478, 618, 1736, 23866, 910, 667, 30, 3161, 4016, 18, 646, 510, 1658, 18, 3324, 510, 430, 18, 50014, 478, 1295, 20525, 470, 38057, 349, 24575, 1953, 17940, 282, 7638, 17, 326, 1484, 16, 478, 35807, 842, 470, 510, 349, 14007, 662, 18, 740, 478, 3002, 2135, 49368, 470, 478, 1615, 465, 1876, 470, 322, 8026, 8087, 18, 1606, 16, 5175, 16, 481, 13173, 18, 478, 46937, 16, 374, 282, 21273, 281, 478, 35807, 26100, 470, 1494, 1747, 8714, 453, 16, 2521, 481, 697, 4722, 10133, 910, 510, 2548, 25236, 41689, 761, 4966, 2052, 1736, 2086, 321, 18, 415, 1645, 478, 35807, 36486, 470, 17132, 2955, 537, 282, 17607, 1750, 18, 34735, 537, 11867, 895, 23090, 10068, 14007, 718, 21291, 18, 11333, 7036, 7561, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2665, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 2665, 18, 2, 1, 87, 1456, 81, 2448, 30, 15164, 434, 1183, 9321, 16, 374, 592, 11521, 36596, 282, 26962, 4577, 16, 515, 289, 13044, 15707, 10808, 32345, 10855, 11709, 289, 10565, 18, 2949, 924, 16, 8768, 1623, 44635, 5508, 2409, 2145, 16, 5130, 282, 571, 277, 306, 4044, 15365, 46595, 11944, 18, 996, 1681, 361, 5330, 5438, 309, 1694, 6677, 23127, 1642, 5035, 35109, 34031, 290, 38508, 3998, 12250, 355, 6571, 2793, 411, 17, 431, 3203, 624, 21938, 950, 282, 9808, 18, 31224, 30, 677, 1681, 32401, 800, 20137, 309, 1694, 4830, 2145, 5035, 35109, 34031, 290, 970, 16, 374, 34584, 33551, 6888, 895, 40090, 411, 17, 431, 34899, 526, 18812, 21938, 950, 18, 19695, 21938, 950, 6489, 576, 1078, 309, 3177, 3614, 17111, 411, 478, 431, 5046, 20813, 15116, 27465, 289, 20072, 5792, 861, 478, 4348, 1718, 406, 36596, 16, 656, 322, 16157, 722, 16, 282, 502, 575, 808, 16, 656, 4492, 339, 15707, 2874, 10808, 32345, 10855, 11709, 289, 10565, 18, 365, 5831, 1555, 2968, 1269, 9158, 291, 18, 832, 4748, 16, 5870, 387, 21476, 510, 387, 43348, 282, 3217, 3538, 16, 282, 1851, 13812, 464, 10866, 289, 7340, 6298, 18, 10134, 21938, 950, 289, 23990, 25045, 11473, 289, 26353, 910, 510, 45922, 2891, 3411, 1310, 680, 2553, 18, 365, 571, 277, 306, 4044, 1038, 5130, 381, 18250, 9792, 292, 15365, 35395, 49808, 18, 478, 15164, 434, 1183, 23875, 847, 1360, 19968, 16, 3640, 5613, 289, 33316, 1873, 27725, 16, 1586, 18092, 294, 28674, 282, 9804, 18, 21938, 1183, 906, 17751, 19297, 16, 1586, 322, 1977, 47127, 281, 35683, 304, 20120, 40673, 18, 1345, 510, 8768, 16, 1586, 371, 306, 4318, 289, 2985, 1154, 13435, 2634, 20883, 1512, 289, 4481, 910, 510, 10128, 282, 10936, 18, 3791, 282, 9907, 11466, 1812, 27995, 21938, 950, 309, 13858, 30482, 18, 478, 21292, 324, 16, 1586, 6691, 3108, 10069, 33914, 282, 7044, 428, 3655, 3203, 9808, 289, 16555, 282, 37038, 5508, 16, 15336, 8290, 289, 28674, 322, 687, 309, 4789, 1212, 14761, 11186, 16, 515, 289, 567, 1514, 2968, 1974, 281, 43805, 37617, 282, 29754, 910, 510, 4437, 5432, 282, 16152, 18, 18592, 4419, 28565, 282, 7337, 9577, 1918, 33409, 18045, 2815, 16, 374, 6888, 895, 40090, 411, 17, 431, 27417, 4150, 6466, 7225, 9808, 16, 5938, 5076, 20841, 309, 2236, 411, 6367, 41724, 33220, 6247, 4000, 23905, 294, 19336, 24956, 18, 49576, 24463, 21935, 1247, 290, 3429, 1027, 282, 7847, 1045, 11947, 9808, 21938, 950, 30, 478, 16676, 2218, 5104, 1943, 39399, 282, 21938, 5167, 16, 753, 13864, 722, 360, 14719, 35991, 28565, 2715, 16, 374, 1320, 349, 1829, 1190, 1177, 1247, 18, 478, 15164, 434, 269, 873, 510, 11473, 2152, 16, 939, 14377, 451, 2152, 18, 1606, 1698, 23065, 31451, 16, 289, 16, 510, 47352, 5, 510, 8486, 34584, 33551, 6888, 4271, 510, 2815, 28565, 18, 817, 5692, 16, 374, 282, 2630, 281, 2184, 21819, 16, 374, 2553, 9808, 282, 4675, 808, 322, 34748, 3231, 9980, 3674, 282, 7143, 41724, 541, 19040, 14600, 309, 23478, 18, 2112, 924, 428, 5792, 14583, 18384, 4110, 1694, 34031, 290, 12250, 355, 6571, 7423, 16, 282, 1087, 43265, 11153, 2145, 12002, 16338, 16, 374, 28402, 322, 1341, 576, 20649, 309, 24741, 4830, 282, 4599, 5478, 21938, 950, 18, 27695, 11413, 768, 511, 320, 640, 23192, 266, 8765, 6818, 16, 374, 22154, 510, 282, 5118, 281, 49769, 41724, 510, 840, 15707, 21938, 5167, 16, 428, 289, 6714, 4758, 17916, 9808, 18, 20259, 879, 14995, 16986, 334, 28015, 12152, 3411, 1310, 718, 12142, 11658, 16396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29428, 910, 2123, 30, 646, 430, 18, 12695, 510, 816, 18, 5584, 510, 1286, 18, 3161, 478, 789, 1083, 1183, 910, 2615, 14007, 2665, 16, 1320, 3957, 282, 2297, 1020, 643, 382, 18, 478, 15164, 547, 262, 3733, 470, 575, 9518, 16, 942, 2023, 16, 519, 7470, 1211, 18, 12404, 520, 486, 2786, 1265, 341, 395, 322, 16684, 16, 367, 282, 4698, 7192, 788, 454, 745, 7006, 520, 10585, 4716, 18, 9833, 418, 2640, 282, 21555, 4903, 286, 18, 5181, 16, 282, 4018, 1045, 282, 30562, 23852, 478, 789, 1083, 1183, 470, 13309, 36462, 18, 7909, 15258, 1162, 7193, 32026, 48372, 281, 478, 31742, 5325, 910, 367, 971, 46621, 478, 822, 10161, 344, 861, 25582, 18731, 13557, 478, 789, 1083, 1183, 470, 49414, 687, 309, 36934, 18, 2776, 513, 548, 510, 4059, 276, 1068, 2261, 4238, 16, 10666, 16762, 16, 478, 23441, 910, 1281, 30, 646, 430, 18, 5737, 510, 816, 18, 12695, 510, 1032, 18, 6654, 478, 13802, 513, 548, 470, 282, 3321, 263, 360, 25421, 18, 1787, 924, 16, 753, 8969, 16171, 309, 15291, 552, 16, 49211, 680, 10434, 16410, 18267, 428, 3545, 18, 439, 1215, 282, 36976, 2665, 478, 13802, 513, 548, 470, 23054, 322, 282, 2433, 1882, 18, 365, 11946, 3216, 281, 16101, 2665, 4223, 282, 23708, 300, 16, 2566, 743, 478, 15164, 547, 262, 3733, 861, 41651, 16, 374, 2117, 20452, 322, 309, 9716, 478, 618, 987, 263, 17, 1098, 278, 6761, 910, 367, 309, 21138, 26225, 478, 23441, 861, 824, 4734, 8300, 17799, 478, 13802, 19308, 470, 20888, 25451, 37115, 17, 11844, 420, 10788, 16, 1177, 5809, 856, 709, 309, 3198, 4466, 18, 478, 2176, 478, 618, 987, 263, 16762, 470, 4577, 19722, 2844, 18, 439, 1373, 1595, 32689, 18, 1345, 294, 3130, 17573, 18, 8615, 19015, 309, 9878, 26225, 19514, 915, 2911, 28953, 965, 18, 5257, 656, 49601, 861, 632, 20525, 510, 19792, 842, 2261, 4238, 16, 10666, 12061, 328, 16, 478, 618, 1736, 23866, 910, 667, 30, 3161, 4016, 18, 646, 510, 1658, 18, 3324, 510, 430, 18, 50014, 478, 1295, 20525, 470, 38057, 349, 24575, 1953, 17940, 282, 7638, 17, 326, 1484, 16, 478, 35807, 842, 470, 510, 349, 14007, 662, 18, 740, 478, 3002, 2135, 49368, 470, 478, 1615, 465, 1876, 470, 322, 8026, 8087, 18, 1606, 16, 5175, 16, 481, 13173, 18, 478, 46937, 16, 374, 282, 21273, 281, 478, 35807, 26100, 470, 1494, 1747, 8714, 453, 16, 2521, 481, 697, 4722, 10133, 910, 510, 2548, 25236, 41689, 761, 4966, 2052, 1736, 2086, 321, 18, 415, 1645, 478, 35807, 36486, 470, 17132, 2955, 537, 282, 17607, 1750, 18, 34735, 537, 11867, 895, 23090, 10068, 14007, 718, 21291, 18, 11333, 7036, 7561, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2665, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 2665, 18, 2, 1, 87, 1456, 81, 2448, 30, 15164, 434, 1183, 9321, 16, 374, 592, 11521, 36596, 282, 26962, 4577, 16, 515, 289, 13044, 15707, 10808, 32345, 10855, 11709, 289, 10565, 18, 2949, 924, 16, 8768, 1623, 44635, 5508, 2409, 2145, 16, 5130, 282, 571, 277, 306, 4044, 15365, 46595, 11944, 18, 996, 1681, 361, 5330, 5438, 309, 1694, 6677, 23127, 1642, 5035, 35109, 34031, 290, 38508, 3998, 12250, 355, 6571, 2793, 411, 17, 431, 3203, 624, 21938, 950, 282, 9808, 18, 31224, 30, 677, 1681, 32401, 800, 20137, 309, 1694, 4830, 2145, 5035, 35109, 34031, 290, 970, 16, 374, 34584, 33551, 6888, 895, 40090, 411, 17, 431, 34899, 526, 18812, 21938, 950, 18, 19695, 21938, 950, 6489, 576, 1078, 309, 3177, 3614, 17111, 411, 478, 431, 5046, 20813, 15116, 27465, 289, 20072, 5792, 861, 478, 4348, 1718, 406, 36596, 16, 656, 322, 16157, 722, 16, 282, 502, 575, 808, 16, 656, 4492, 339, 15707, 2874, 10808, 32345, 10855, 11709, 289, 10565, 18, 365, 5831, 1555, 2968, 1269, 9158, 291, 18, 832, 4748, 16, 5870, 387, 21476, 510, 387, 43348, 282, 3217, 3538, 16, 282, 1851, 13812, 464, 10866, 289, 7340, 6298, 18, 10134, 21938, 950, 289, 23990, 25045, 11473, 289, 26353, 910, 510, 45922, 2891, 3411, 1310, 680, 2553, 18, 365, 571, 277, 306, 4044, 1038, 5130, 381, 18250, 9792, 292, 15365, 35395, 49808, 18, 478, 15164, 434, 1183, 23875, 847, 1360, 19968, 16, 3640, 5613, 289, 33316, 1873, 27725, 16, 1586, 18092, 294, 28674, 282, 9804, 18, 21938, 1183, 906, 17751, 19297, 16, 1586, 322, 1977, 47127, 281, 35683, 304, 20120, 40673, 18, 1345, 510, 8768, 16, 1586, 371, 306, 4318, 289, 2985, 1154, 13435, 2634, 20883, 1512, 289, 4481, 910, 510, 10128, 282, 10936, 18, 3791, 282, 9907, 11466, 1812, 27995, 21938, 950, 309, 13858, 30482, 18, 478, 21292, 324, 16, 1586, 6691, 3108, 10069, 33914, 282, 7044, 428, 3655, 3203, 9808, 289, 16555, 282, 37038, 5508, 16, 15336, 8290, 289, 28674, 322, 687, 309, 4789, 1212, 14761, 11186, 16, 515, 289, 567, 1514, 2968, 1974, 281, 43805, 37617, 282, 29754, 910, 510, 4437, 5432, 282, 16152, 18, 18592, 4419, 28565, 282, 7337, 9577, 1918, 33409, 18045, 2815, 16, 374, 6888, 895, 40090, 411, 17, 431, 27417, 4150, 6466, 7225, 9808, 16, 5938, 5076, 20841, 309, 2236, 411, 6367, 41724, 33220, 6247, 4000, 23905, 294, 19336, 24956, 18, 49576, 24463, 21935, 1247, 290, 3429, 1027, 282, 7847, 1045, 11947, 9808, 21938, 950, 30, 478, 16676, 2218, 5104, 1943, 39399, 282, 21938, 5167, 16, 753, 13864, 722, 360, 14719, 35991, 28565, 2715, 16, 374, 1320, 349, 1829, 1190, 1177, 1247, 18, 478, 15164, 434, 269, 873, 510, 11473, 2152, 16, 939, 14377, 451, 2152, 18, 1606, 1698, 23065, 31451, 16, 289, 16, 510, 47352, 5, 510, 8486, 34584, 33551, 6888, 4271, 510, 2815, 28565, 18, 817, 5692, 16, 374, 282, 2630, 281, 2184, 21819, 16, 374, 2553, 9808, 282, 4675, 808, 322, 34748, 3231, 9980, 3674, 282, 7143, 41724, 541, 19040, 14600, 309, 23478, 18, 2112, 924, 428, 5792, 14583, 18384, 4110, 1694, 34031, 290, 12250, 355, 6571, 7423, 16, 282, 1087, 43265, 11153, 2145, 12002, 16338, 16, 374, 28402, 322, 1341, 576, 20649, 309, 24741, 4830, 282, 4599, 5478, 21938, 950, 18, 27695, 11413, 768, 511, 320, 640, 23192, 266, 8765, 6818, 16, 374, 22154, 510, 282, 5118, 281, 49769, 41724, 510, 840, 15707, 21938, 5167, 16, 428, 289, 6714, 4758, 17916, 9808, 18, 20259, 879, 14995, 16986, 334, 28015, 12152, 3411, 1310, 718, 12142, 11658, 16396 ]
[ 25113, 14027, 2210, 10471, 15365, 269, 1275, 1531, 17651, 7812, 16, 5923, 391, 26448, 18, 478, 6904, 276, 1018, 334, 5083, 14377, 617, 322, 4247, 424, 1807, 4302, 21539, 8297, 891, 18, 21938, 22009, 2152, 3215, 32206, 18, 1937, 8768, 2548, 290, 9808, 653, 15437, 16835, 40042, 2580, 30, 1749, 322, 40193, 20358, 12570, 282, 23970, 409, 18, 4707, 6809, 783, 21890, 16, 374, 428, 687, 8018, 1463, 9770, 16, 8768, 1373, 575, 11981, 411, 9808, 18, 1937, 15365, 269, 1275, 26645, 30, 478, 7448, 387, 575, 282, 9808, 16, 2293, 28148, 1279, 7269, 5433, 510, 745, 12019, 2199, 5985, 289, 4266, 16, 374, 1279, 7269, 745, 2002, 322, 15076, 289, 322, 20776, 910, 510, 31656, 12189, 18, 43102, 3347, 4419, 8846, 16, 374, 9808, 41483, 5848, 478, 2445, 925, 11319, 8902, 470, 21938, 950, 289, 13015, 1276, 8861, 330, 309, 2923, 2553, 29433, 20319, 18, 14654, 3419, 290, 18577, 681, 2165, 16, 4940, 11724, 1165, 360, 1279, 368, 1891, 4938, 432, 8187, 289, 1279, 368, 1891, 4938, 432, 1677, 1035, 5706, 16, 4460, 1378, 282, 3875, 18, 4663, 21038, 7455, 15908, 281, 2923, 2553, 289, 13015, 18, 478, 7148, 989, 2572, 16435, 9480, 50096, 42211, 281, 8526, 7069, 45781, 282, 21938, 950, 289, 19302, 697, 2655, 448, 21265, 309, 8380, 3137, 9410, 16854, 12035, 334, 2792, 925, 11319, 1640, 470, 910, 510, 11466, 1812, 282, 4437, 27299, 49800, 294, 5410, 49676, 18, 985, 13462, 282, 25223, 16, 3785, 17, 23666, 2116, 2879, 4751, 22289, 16, 374, 5472, 282, 7433, 21265, 322, 840, 2498, 12948, 18, 365, 12335, 20420, 779, 309, 37965, 10296, 282, 21938, 950, 8955, 30682, 8851, 7638, 2553, 16, 5222, 43984, 34493, 5855, 4623, 10600, 1356, 35798, 1467, 4474, 14121, 18, 365, 13993, 622, 7638, 304, 1467, 4474, 14121, 25757, 15464, 19833, 5874, 16, 8581, 6965, 309, 1033, 10400, 539, 15562, 281, 49862, 289, 7236, 979, 360, 1175, 18, 996, 16, 1717, 492, 25512, 30183, 334, 14555, 21938, 950, 411, 42967, 553, 281, 2041, 818, 355, 18, 824, 2614, 1864, 14016, 16, 3695, 3598, 5895, 779, 282, 21938, 950, 685, 34807, 38272, 16, 334, 8872, 2024, 7441, 3696, 857, 290, 3177, 49135, 781, 18, 3739, 519, 20526, 42178, 2139, 48294, 321, 1004, 1467, 4474, 14121, 2815, 16, 374, 478, 404, 18077, 3030, 21938, 950, 4522, 2773, 861, 2949, 924, 16, 1467, 4474, 14121, 510, 4546, 742, 7307, 45713, 13532, 18, 999, 19430, 37080, 18909, 17260, 16, 492, 15464, 13354, 309, 19320, 3173, 281, 39667, 16, 43582, 21938, 950, 282, 24393, 289, 9808, 18, 3739, 282, 6982, 1045, 23024, 35447, 290, 4540, 4912, 7869, 1681, 32401, 1159, 282, 9808, 16, 10353, 42916, 1372, 334, 2856, 11135, 18, 365, 4145, 1045, 21938, 1183, 475, 17, 2767, 5524, 455, 6549, 290, 33622, 8256, 282, 9839, 766, 1822, 7376, 23970, 267, 18, 5343, 5860, 2444, 20075, 1279, 23925, 21938, 950, 282, 9808, 18, 47705, 468, 21938, 950, 294, 9808, 17650, 294, 46211, 1640, 4096, 282, 9804, 289, 24915, 577, 6138, 20144, 3623, 16, 20331, 42915, 6897, 4551, 18182, 43503, 1624, 30543, 282, 12760, 680, 5767, 18113, 15013, 23132, 750, 289, 2763, 800, 1798, 1730, 18, 478, 4348, 5358, 339, 1279, 21974, 396, 1477, 31791, 282, 9804, 3741, 3885, 5537, 20079, 18, 3863, 3321, 8643, 1472, 294, 25594, 46211, 1640, 9047, 282, 9804, 16, 39215, 1211, 6138, 20144, 3623, 18, 3397, 1574, 575, 31328, 13695, 12530, 45640, 281, 4048, 383, 2603, 355, 910, 510, 3542, 4140, 35675, 18, 43503, 1038, 6790, 455, 2904, 309, 502, 16, 374, 3003, 290, 12215, 763, 21938, 950, 294, 9808, 639, 7239, 1279, 10969, 1715, 11678, 4186, 2553, 16, 374, 1623, 13344, 355, 1757, 25195, 49880, 23368, 16, 5923, 727, 4742, 1492, 2, 1, 87, 1456, 81, 2448, 30, 9676, 823, 3412, 13143, 10675, 16979, 16445, 4422, 18464, 28232, 7756, 478, 395, 269, 8318, 910, 1029, 411, 5442, 16675, 264, 282, 5214, 4534, 18, 4149, 4167, 11350, 17, 32584, 16355, 285, 18164, 478, 45565, 470, 6096, 44788, 512, 18, 17135, 1047, 726, 18966, 11969, 1743, 334, 13229, 31665, 21912, 512, 18, 4756, 776, 30940, 9798, 36766, 29362, 16308, 414, 282, 6179, 476, 334, 3885, 4699, 29216, 309, 403, 25186, 1999, 1212, 29176, 18, 478, 14237, 564, 1121, 19611, 470, 322, 5285, 5832, 16, 374, 44788, 512, 895, 953, 1472, 38456, 304, 329, 20276, 434, 19782, 4621, 18, 31224, 30, 630, 49102, 16979, 776, 30940, 776, 28, 281, 9776, 355, 9872, 478, 395, 269, 910, 21928, 20202, 309, 13519, 11056, 16675, 264, 11088, 2725, 27756, 401, 1624, 282, 9937, 6442, 282, 3187, 1941, 6233, 18, 478, 37165, 574, 18464, 28232, 685, 20817, 289, 30434, 18, 365, 4599, 1047, 18966, 11969, 1743, 334, 327, 18, 491, 422, 18, 44781, 11828, 2407, 473, 324, 1208, 468, 21912, 512, 411, 34137, 933, 42320, 891, 13, 910, 510, 13737, 478, 46088, 18, 8381, 470, 282, 27246, 18, 3026, 322, 7737, 4437, 1507, 16, 6088, 520, 10383, 1011, 33691, 282, 31964, 5688, 5540, 670, 685, 4155, 2365, 18, 45688, 26584, 282, 11949, 763, 3695, 17, 637, 964, 34911, 2725, 27756, 401, 4167, 16, 334, 3761, 21086, 1185, 1843, 534, 13543, 18, 1572, 16, 6603, 17, 7745, 6096, 44788, 512, 18, 47090, 16, 374, 492, 2826, 45252, 32720, 281, 47859, 478, 264, 8174, 23, 277, 269, 910, 2686, 6429, 5791, 329, 505, 4621, 322, 30137, 16, 367, 20391, 18, 2263, 2725, 399, 4929, 4419, 29093, 16, 374, 481, 685, 10979, 5554, 8934, 35130, 281, 21908, 411, 2713, 2209, 7756, 478, 264, 8174, 23, 277, 269, 16492, 861, 1598, 17, 431, 1280, 48944, 3781, 17, 12206, 2243, 1827, 1148, 353, 4830, 4239, 6520, 768, 298, 19137, 1011, 32764, 3711, 14027, 4694, 2089, 4371, 18, 817, 11623, 2815, 16, 374, 10383, 7994, 411, 2713, 2585, 46331, 281, 46322, 21908, 1745, 322, 757, 12570, 282, 6550, 4762, 18, 4530, 867, 17786, 1087, 547, 2477, 478, 395, 269, 8318, 470, 4419, 906, 11757, 2773, 349, 3995, 2608, 8231, 2407, 1624, 2686, 971, 282, 27246, 360, 1710, 17245, 18, 31139, 776, 30940, 1488, 591, 21908, 478, 264, 8174, 23, 277, 269, 8318, 470, 1904, 13829, 29012, 478, 14237, 1608, 1121, 320, 368, 861, 478, 3001, 2944, 7757, 282, 4577, 3662, 4611, 16, 453, 428, 3857, 27809, 44460, 16, 387, 32723, 309, 3885, 8984, 25969, 309, 403, 25186, 1999, 1212, 29176, 16, 510, 4848, 478, 46088, 18, 8381, 470, 10914, 755, 4202, 7753, 1034, 454, 40903, 18, 510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25113, 14027, 2210, 10471, 15365, 269, 1275, 1531, 17651, 7812, 16, 5923, 391, 26448, 18, 478, 6904, 276, 1018, 334, 5083, 14377, 617, 322, 4247, 424, 1807, 4302, 21539, 8297, 891, 18, 21938, 22009, 2152, 3215, 32206, 18, 1937, 8768, 2548, 290, 9808, 653, 15437, 16835, 40042, 2580, 30, 1749, 322, 40193, 20358, 12570, 282, 23970, 409, 18, 4707, 6809, 783, 21890, 16, 374, 428, 687, 8018, 1463, 9770, 16, 8768, 1373, 575, 11981, 411, 9808, 18, 1937, 15365, 269, 1275, 26645, 30, 478, 7448, 387, 575, 282, 9808, 16, 2293, 28148, 1279, 7269, 5433, 510, 745, 12019, 2199, 5985, 289, 4266, 16, 374, 1279, 7269, 745, 2002, 322, 15076, 289, 322, 20776, 910, 510, 31656, 12189, 18, 43102, 3347, 4419, 8846, 16, 374, 9808, 41483, 5848, 478, 2445, 925, 11319, 8902, 470, 21938, 950, 289, 13015, 1276, 8861, 330, 309, 2923, 2553, 29433, 20319, 18, 14654, 3419, 290, 18577, 681, 2165, 16, 4940, 11724, 1165, 360, 1279, 368, 1891, 4938, 432, 8187, 289, 1279, 368, 1891, 4938, 432, 1677, 1035, 5706, 16, 4460, 1378, 282, 3875, 18, 4663, 21038, 7455, 15908, 281, 2923, 2553, 289, 13015, 18, 478, 7148, 989, 2572, 16435, 9480, 50096, 42211, 281, 8526, 7069, 45781, 282, 21938, 950, 289, 19302, 697, 2655, 448, 21265, 309, 8380, 3137, 9410, 16854, 12035, 334, 2792, 925, 11319, 1640, 470, 910, 510, 11466, 1812, 282, 4437, 27299, 49800, 294, 5410, 49676, 18, 985, 13462, 282, 25223, 16, 3785, 17, 23666, 2116, 2879, 4751, 22289, 16, 374, 5472, 282, 7433, 21265, 322, 840, 2498, 12948, 18, 365, 12335, 20420, 779, 309, 37965, 10296, 282, 21938, 950, 8955, 30682, 8851, 7638, 2553, 16, 5222, 43984, 34493, 5855, 4623, 10600, 1356, 35798, 1467, 4474, 14121, 18, 365, 13993, 622, 7638, 304, 1467, 4474, 14121, 25757, 15464, 19833, 5874, 16, 8581, 6965, 309, 1033, 10400, 539, 15562, 281, 49862, 289, 7236, 979, 360, 1175, 18, 996, 16, 1717, 492, 25512, 30183, 334, 14555, 21938, 950, 411, 42967, 553, 281, 2041, 818, 355, 18, 824, 2614, 1864, 14016, 16, 3695, 3598, 5895, 779, 282, 21938, 950, 685, 34807, 38272, 16, 334, 8872, 2024, 7441, 3696, 857, 290, 3177, 49135, 781, 18, 3739, 519, 20526, 42178, 2139, 48294, 321, 1004, 1467, 4474, 14121, 2815, 16, 374, 478, 404, 18077, 3030, 21938, 950, 4522, 2773, 861, 2949, 924, 16, 1467, 4474, 14121, 510, 4546, 742, 7307, 45713, 13532, 18, 999, 19430, 37080, 18909, 17260, 16, 492, 15464, 13354, 309, 19320, 3173, 281, 39667, 16, 43582, 21938, 950, 282, 24393, 289, 9808, 18, 3739, 282, 6982, 1045, 23024, 35447, 290, 4540, 4912, 7869, 1681, 32401, 1159, 282, 9808, 16, 10353, 42916, 1372, 334, 2856, 11135, 18, 365, 4145, 1045, 21938, 1183, 475, 17, 2767, 5524, 455, 6549, 290, 33622, 8256, 282, 9839, 766, 1822, 7376, 23970, 267, 18, 5343, 5860, 2444, 20075, 1279, 23925, 21938, 950, 282, 9808, 18, 47705, 468, 21938, 950, 294, 9808, 17650, 294, 46211, 1640, 4096, 282, 9804, 289, 24915, 577, 6138, 20144, 3623, 16, 20331, 42915, 6897, 4551, 18182, 43503, 1624, 30543, 282, 12760, 680, 5767, 18113, 15013, 23132, 750, 289, 2763, 800, 1798, 1730, 18, 478, 4348, 5358, 339, 1279, 21974, 396, 1477, 31791, 282, 9804, 3741, 3885, 5537, 20079, 18, 3863, 3321, 8643, 1472, 294, 25594, 46211, 1640, 9047, 282, 9804, 16, 39215, 1211, 6138, 20144, 3623, 18, 3397, 1574, 575, 31328, 13695, 12530, 45640, 281, 4048, 383, 2603, 355, 910, 510, 3542, 4140, 35675, 18, 43503, 1038, 6790, 455, 2904, 309, 502, 16, 374, 3003, 290, 12215, 763, 21938, 950, 294, 9808, 639, 7239, 1279, 10969, 1715, 11678, 4186, 2553, 16, 374, 1623, 13344, 355, 1757, 25195, 49880, 23368, 16, 5923, 727, 4742, 1492, 2, 1, 87, 1456, 81, 2448, 30, 9676, 823, 3412, 13143, 10675, 16979, 16445, 4422, 18464, 28232, 7756, 478, 395, 269, 8318, 910, 1029, 411, 5442, 16675, 264, 282, 5214, 4534, 18, 4149, 4167, 11350, 17, 32584, 16355, 285, 18164, 478, 45565, 470, 6096, 44788, 512, 18, 17135, 1047, 726, 18966, 11969, 1743, 334, 13229, 31665, 21912, 512, 18, 4756, 776, 30940, 9798, 36766, 29362, 16308, 414, 282, 6179, 476, 334, 3885, 4699, 29216, 309, 403, 25186, 1999, 1212, 29176, 18, 478, 14237, 564, 1121, 19611, 470, 322, 5285, 5832, 16, 374, 44788, 512, 895, 953, 1472, 38456, 304, 329, 20276, 434, 19782, 4621, 18, 31224, 30, 630, 49102, 16979, 776, 30940, 776, 28, 281, 9776, 355, 9872, 478, 395, 269, 910, 21928, 20202, 309, 13519, 11056, 16675, 264, 11088, 2725, 27756, 401, 1624, 282, 9937, 6442, 282, 3187, 1941, 6233, 18, 478, 37165, 574, 18464, 28232, 685, 20817, 289, 30434, 18, 365, 4599, 1047, 18966, 11969, 1743, 334, 327, 18, 491, 422, 18, 44781, 11828, 2407, 473, 324, 1208, 468, 21912, 512, 411, 34137, 933, 42320, 891, 13, 910, 510, 13737, 478, 46088, 18, 8381, 470, 282, 27246, 18, 3026, 322, 7737, 4437, 1507, 16, 6088, 520, 10383, 1011, 33691, 282, 31964, 5688, 5540, 670, 685, 4155, 2365, 18, 45688, 26584, 282, 11949, 763, 3695, 17, 637, 964, 34911, 2725, 27756, 401, 4167, 16, 334, 3761, 21086, 1185, 1843, 534, 13543, 18, 1572, 16, 6603, 17, 7745, 6096, 44788, 512, 18, 47090, 16, 374, 492, 2826, 45252, 32720, 281, 47859, 478, 264, 8174, 23, 277, 269, 910, 2686, 6429, 5791, 329, 505, 4621, 322, 30137, 16, 367, 20391, 18, 2263, 2725, 399, 4929, 4419, 29093, 16, 374, 481, 685, 10979, 5554, 8934, 35130, 281, 21908, 411, 2713, 2209, 7756, 478, 264, 8174, 23, 277, 269, 16492, 861, 1598, 17, 431, 1280, 48944, 3781, 17, 12206, 2243, 1827, 1148, 353, 4830, 4239, 6520, 768, 298, 19137, 1011, 32764, 3711, 14027, 4694, 2089, 4371, 18, 817, 11623, 2815, 16, 374, 10383, 7994, 411, 2713, 2585, 46331, 281, 46322, 21908, 1745, 322, 757, 12570, 282, 6550, 4762, 18, 4530, 867, 17786, 1087, 547, 2477, 478, 395, 269, 8318, 470, 4419, 906, 11757, 2773, 349, 3995, 2608, 8231, 2407, 1624, 2686, 971, 282, 27246, 360, 1710, 17245, 18, 31139, 776, 30940, 1488, 591, 21908, 478, 264, 8174, 23, 277, 269, 8318, 470, 1904, 13829, 29012, 478, 14237, 1608, 1121, 320, 368, 861, 478, 3001, 2944, 7757, 282, 4577, 3662, 4611, 16, 453, 428, 3857, 27809, 44460, 16, 387, 32723, 309, 3885, 8984, 25969, 309, 403, 25186, 1999, 1212, 29176, 16, 510, 4848, 478, 46088, 18, 8381, 470, 10914, 755, 4202, 7753, 1034, 454, 40903, 18, 510 ]
[ 1345, 935, 2364, 779, 2158, 18157, 309, 1047, 8348, 282, 450, 18819, 18, 6928, 16, 428, 12137, 23500, 16, 1655, 935, 29013, 309, 20590, 567, 491, 17, 295, 6246, 911, 273, 450, 18819, 16, 1029, 5960, 1211, 403, 25186, 1999, 778, 16, 515, 417, 10529, 322, 2564, 861, 1034, 454, 40903, 322, 3947, 364, 16, 374, 44788, 512, 757, 35252, 14409, 406, 17, 1796, 41922, 18, 478, 3096, 2199, 12485, 16, 827, 492, 1139, 38456, 5608, 17, 299, 29815, 346, 1631, 18, 365, 4356, 1335, 7475, 4266, 289, 505, 9872, 16, 2838, 289, 6474, 574, 3595, 16, 515, 309, 5595, 2388, 322, 4250, 7723, 16, 289, 619, 3646, 2232, 7352, 16, 289, 3253, 505, 23266, 425, 371, 6179, 476, 334, 1574, 40077, 7733, 23769, 910, 510, 24500, 1034, 454, 40903, 18, 4530, 867, 16, 428, 4511, 3391, 478, 18386, 18, 8381, 910, 6096, 44788, 512, 510, 8851, 21733, 24026, 16, 282, 8151, 6374, 17, 292, 5358, 1779, 282, 5271, 18164, 478, 45565, 861, 5181, 16, 537, 2059, 21858, 4466, 282, 5344, 5271, 19064, 7194, 39193, 7586, 16, 18237, 2409, 2024, 492, 1623, 16, 44788, 512, 453, 289, 322, 7609, 18, 2112, 478, 45565, 470, 44788, 512, 10117, 14261, 282, 20750, 1725, 16, 988, 567, 2992, 35772, 15097, 349, 20065, 478, 13467, 861, 365, 6383, 1045, 492, 7609, 282, 505, 5271, 2123, 9806, 18, 415, 25594, 24087, 1655, 764, 3405, 17, 11884, 44788, 3583, 1329, 322, 3665, 16, 289, 16, 2628, 16, 492, 23571, 709, 477, 27670, 411, 17, 431, 17336, 18, 640, 39958, 282, 8347, 13636, 6096, 44788, 512, 529, 12227, 22304, 993, 341, 6279, 18441, 16, 16118, 2205, 16, 334, 3163, 48944, 2725, 27756, 401, 16, 25607, 7431, 13435, 8715, 18, 967, 803, 282, 3142, 23635, 20700, 2205, 11350, 17, 32584, 16355, 419, 322, 6245, 7791, 6459, 8715, 18, 640, 1360, 29113, 582, 282, 478, 7798, 42645, 7478, 470, 44788, 512, 4722, 445, 685, 282, 2261, 18, 646, 282, 9937, 16, 374, 41550, 16672, 290, 970, 16, 374, 1011, 29836, 282, 6233, 492, 685, 4155, 2365, 18, 2949, 924, 16, 327, 18, 491, 422, 18, 44781, 11828, 2407, 20165, 13742, 322, 1143, 1949, 986, 17703, 8124, 16, 374, 334, 14371, 3329, 341, 722, 294, 8150, 277, 6197, 20249, 18, 421, 665, 32174, 282, 2100, 12519, 424, 29092, 334, 1335, 9044, 9184, 484, 3215, 7182, 18, 7106, 16, 374, 26058, 281, 6907, 339, 44788, 13432, 11540, 1533, 3597, 18, 985, 4848, 478, 46088, 18, 8381, 470, 583, 18100, 1510, 4210, 2725, 399, 4929, 16, 3695, 17, 7745, 17053, 14630, 7904, 31690, 21972, 7377, 473, 780, 1009, 27280, 934, 282, 1500, 2894, 492, 477, 1360, 18188, 4193, 364, 8406, 309, 40853, 450, 1414, 9406, 289, 9694, 1999, 718, 24052, 523, 309, 19989, 7834, 22092, 19954, 18, 365, 481, 808, 294, 19993, 454, 16, 334, 3163, 48944, 16, 44138, 10979, 35130, 289, 16, 322, 46843, 16675, 291, 16, 10117, 5922, 18, 478, 4408, 14857, 492, 703, 1943, 685, 22840, 16, 492, 978, 322, 3404, 289, 2734, 322, 29603, 813, 16, 20699, 20496, 12460, 1779, 18, 20699, 629, 975, 9820, 6230, 16, 492, 784, 2715, 939, 14895, 16, 417, 505, 14070, 18, 5360, 481, 322, 12329, 16, 492, 43897, 411, 4621, 289, 3779, 282, 39247, 910, 510, 4848, 2725, 399, 4929, 18, 17417, 17323, 7380, 44437, 14580, 2725, 399, 4929, 4726, 18042, 937, 334, 34559, 2675, 4453, 1033, 2399, 1147, 289, 10896, 1147, 21680, 6137, 18, 1937, 294, 10009, 13631, 1559, 47540, 15838, 6233, 16, 22306, 1779, 2983, 3732, 2406, 32788, 35747, 16, 10383, 15365, 7994, 5008, 5187, 282, 5894, 289, 14119, 18, 2112, 26369, 2725, 399, 4929, 281, 5512, 43545, 9031, 282, 10264, 13331, 6233, 289, 6463, 8348, 381, 11949, 763, 18, 4541, 18100, 1510, 11368, 21912, 265, 282, 28564, 29781, 464, 510, 360, 10687, 329, 1047, 309, 5503, 38751, 30495, 336, 2749, 496, 264, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1119, 37513, 2220, 3850, 403, 11365, 478, 780, 339, 32733, 470, 4445, 449, 1736, 301, 329, 478, 1659, 27254, 470, 349, 13270, 424, 8985, 1205, 18, 472, 4708, 18696, 18462, 3436, 26654, 289, 19625, 19311, 478, 983, 2679, 38278, 470, 411, 4256, 2566, 9410, 18, 478, 27296, 17, 15900, 470, 10587, 12599, 281, 8583, 686, 496, 768, 48890, 304, 16, 1029, 18462, 1472, 7109, 12994, 349, 10133, 16, 515, 322, 28291, 281, 478, 17810, 1822, 660, 910, 18100, 18326, 13270, 9410, 18, 31224, 30, 677, 12903, 7562, 13462, 1119, 37513, 2220, 3850, 403, 11365, 18, 20670, 416, 1119, 289, 428, 2002, 5425, 25953, 282, 20113, 11142, 18, 3428, 1830, 373, 5298, 18, 2876, 26070, 32671, 7561, 42361, 13487, 45337, 7885, 18, 31444, 17, 3446, 280, 2287, 16287, 1283, 1909, 4765, 478, 780, 339, 791, 507, 470, 289, 478, 1659, 27254, 861, 46159, 411, 4256, 2566, 432, 16287, 478, 1659, 27254, 470, 10761, 294, 9747, 18, 18529, 749, 1728, 15465, 289, 860, 58, 52, 6705, 8900, 10988, 4811, 5675, 24135, 478, 919, 382, 470, 322, 42878, 887, 18, 7409, 10133, 749, 1047, 16, 289, 1215, 678, 16, 46294, 1185, 16, 282, 1362, 2800, 14248, 18, 472, 4708, 18696, 685, 282, 1177, 2894, 7655, 320, 2033, 16, 32471, 3436, 26654, 18, 19432, 45042, 320, 34712, 6769, 760, 17522, 373, 773, 18, 22004, 2124, 326, 5692, 1617, 1939, 16, 289, 478, 780, 339, 32733, 470, 10587, 652, 43048, 506, 349, 14757, 968, 13270, 282, 34456, 18, 22154, 510, 20392, 10868, 510, 40051, 30, 3572, 24, 473, 6862, 30, 6462, 16, 4016, 30, 8914, 16, 3695, 30, 7536, 16, 5741, 30, 6091, 13, 365, 30, 16164, 271, 473, 8081, 934, 16772, 272, 15432, 473, 3420, 934, 8426, 297, 473, 4234, 934, 13028, 5353, 283, 473, 3572, 15, 2783, 8533, 291, 13, 768, 30, 19432, 473, 4691, 934, 7120, 1080, 17039, 473, 2932, 934, 3699, 1869, 473, 2692, 934, 586, 6194, 312, 473, 3902, 13, 6835, 17, 15900, 510, 4033, 1822, 660, 510, 29262, 30, 2479, 22, 473, 6091, 30, 3420, 16, 4039, 30, 6862, 16, 3436, 30, 6862, 16, 1281, 30, 6894, 13, 391, 4298, 30, 34415, 473, 7536, 934, 21551, 872, 266, 473, 2783, 934, 49193, 473, 2783, 13, 415, 30, 24088, 2612, 473, 3161, 934, 6331, 9472, 473, 6568, 934, 5154, 5858, 1528, 473, 3114, 934, 768, 48890, 473, 28, 15, 2479, 8533, 291, 13, 18840, 354, 510, 457, 48577, 510, 29262, 30, 17212, 473, 6475, 30, 2692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1345, 935, 2364, 779, 2158, 18157, 309, 1047, 8348, 282, 450, 18819, 18, 6928, 16, 428, 12137, 23500, 16, 1655, 935, 29013, 309, 20590, 567, 491, 17, 295, 6246, 911, 273, 450, 18819, 16, 1029, 5960, 1211, 403, 25186, 1999, 778, 16, 515, 417, 10529, 322, 2564, 861, 1034, 454, 40903, 322, 3947, 364, 16, 374, 44788, 512, 757, 35252, 14409, 406, 17, 1796, 41922, 18, 478, 3096, 2199, 12485, 16, 827, 492, 1139, 38456, 5608, 17, 299, 29815, 346, 1631, 18, 365, 4356, 1335, 7475, 4266, 289, 505, 9872, 16, 2838, 289, 6474, 574, 3595, 16, 515, 309, 5595, 2388, 322, 4250, 7723, 16, 289, 619, 3646, 2232, 7352, 16, 289, 3253, 505, 23266, 425, 371, 6179, 476, 334, 1574, 40077, 7733, 23769, 910, 510, 24500, 1034, 454, 40903, 18, 4530, 867, 16, 428, 4511, 3391, 478, 18386, 18, 8381, 910, 6096, 44788, 512, 510, 8851, 21733, 24026, 16, 282, 8151, 6374, 17, 292, 5358, 1779, 282, 5271, 18164, 478, 45565, 861, 5181, 16, 537, 2059, 21858, 4466, 282, 5344, 5271, 19064, 7194, 39193, 7586, 16, 18237, 2409, 2024, 492, 1623, 16, 44788, 512, 453, 289, 322, 7609, 18, 2112, 478, 45565, 470, 44788, 512, 10117, 14261, 282, 20750, 1725, 16, 988, 567, 2992, 35772, 15097, 349, 20065, 478, 13467, 861, 365, 6383, 1045, 492, 7609, 282, 505, 5271, 2123, 9806, 18, 415, 25594, 24087, 1655, 764, 3405, 17, 11884, 44788, 3583, 1329, 322, 3665, 16, 289, 16, 2628, 16, 492, 23571, 709, 477, 27670, 411, 17, 431, 17336, 18, 640, 39958, 282, 8347, 13636, 6096, 44788, 512, 529, 12227, 22304, 993, 341, 6279, 18441, 16, 16118, 2205, 16, 334, 3163, 48944, 2725, 27756, 401, 16, 25607, 7431, 13435, 8715, 18, 967, 803, 282, 3142, 23635, 20700, 2205, 11350, 17, 32584, 16355, 419, 322, 6245, 7791, 6459, 8715, 18, 640, 1360, 29113, 582, 282, 478, 7798, 42645, 7478, 470, 44788, 512, 4722, 445, 685, 282, 2261, 18, 646, 282, 9937, 16, 374, 41550, 16672, 290, 970, 16, 374, 1011, 29836, 282, 6233, 492, 685, 4155, 2365, 18, 2949, 924, 16, 327, 18, 491, 422, 18, 44781, 11828, 2407, 20165, 13742, 322, 1143, 1949, 986, 17703, 8124, 16, 374, 334, 14371, 3329, 341, 722, 294, 8150, 277, 6197, 20249, 18, 421, 665, 32174, 282, 2100, 12519, 424, 29092, 334, 1335, 9044, 9184, 484, 3215, 7182, 18, 7106, 16, 374, 26058, 281, 6907, 339, 44788, 13432, 11540, 1533, 3597, 18, 985, 4848, 478, 46088, 18, 8381, 470, 583, 18100, 1510, 4210, 2725, 399, 4929, 16, 3695, 17, 7745, 17053, 14630, 7904, 31690, 21972, 7377, 473, 780, 1009, 27280, 934, 282, 1500, 2894, 492, 477, 1360, 18188, 4193, 364, 8406, 309, 40853, 450, 1414, 9406, 289, 9694, 1999, 718, 24052, 523, 309, 19989, 7834, 22092, 19954, 18, 365, 481, 808, 294, 19993, 454, 16, 334, 3163, 48944, 16, 44138, 10979, 35130, 289, 16, 322, 46843, 16675, 291, 16, 10117, 5922, 18, 478, 4408, 14857, 492, 703, 1943, 685, 22840, 16, 492, 978, 322, 3404, 289, 2734, 322, 29603, 813, 16, 20699, 20496, 12460, 1779, 18, 20699, 629, 975, 9820, 6230, 16, 492, 784, 2715, 939, 14895, 16, 417, 505, 14070, 18, 5360, 481, 322, 12329, 16, 492, 43897, 411, 4621, 289, 3779, 282, 39247, 910, 510, 4848, 2725, 399, 4929, 18, 17417, 17323, 7380, 44437, 14580, 2725, 399, 4929, 4726, 18042, 937, 334, 34559, 2675, 4453, 1033, 2399, 1147, 289, 10896, 1147, 21680, 6137, 18, 1937, 294, 10009, 13631, 1559, 47540, 15838, 6233, 16, 22306, 1779, 2983, 3732, 2406, 32788, 35747, 16, 10383, 15365, 7994, 5008, 5187, 282, 5894, 289, 14119, 18, 2112, 26369, 2725, 399, 4929, 281, 5512, 43545, 9031, 282, 10264, 13331, 6233, 289, 6463, 8348, 381, 11949, 763, 18, 4541, 18100, 1510, 11368, 21912, 265, 282, 28564, 29781, 464, 510, 360, 10687, 329, 1047, 309, 5503, 38751, 30495, 336, 2749, 496, 264, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1119, 37513, 2220, 3850, 403, 11365, 478, 780, 339, 32733, 470, 4445, 449, 1736, 301, 329, 478, 1659, 27254, 470, 349, 13270, 424, 8985, 1205, 18, 472, 4708, 18696, 18462, 3436, 26654, 289, 19625, 19311, 478, 983, 2679, 38278, 470, 411, 4256, 2566, 9410, 18, 478, 27296, 17, 15900, 470, 10587, 12599, 281, 8583, 686, 496, 768, 48890, 304, 16, 1029, 18462, 1472, 7109, 12994, 349, 10133, 16, 515, 322, 28291, 281, 478, 17810, 1822, 660, 910, 18100, 18326, 13270, 9410, 18, 31224, 30, 677, 12903, 7562, 13462, 1119, 37513, 2220, 3850, 403, 11365, 18, 20670, 416, 1119, 289, 428, 2002, 5425, 25953, 282, 20113, 11142, 18, 3428, 1830, 373, 5298, 18, 2876, 26070, 32671, 7561, 42361, 13487, 45337, 7885, 18, 31444, 17, 3446, 280, 2287, 16287, 1283, 1909, 4765, 478, 780, 339, 791, 507, 470, 289, 478, 1659, 27254, 861, 46159, 411, 4256, 2566, 432, 16287, 478, 1659, 27254, 470, 10761, 294, 9747, 18, 18529, 749, 1728, 15465, 289, 860, 58, 52, 6705, 8900, 10988, 4811, 5675, 24135, 478, 919, 382, 470, 322, 42878, 887, 18, 7409, 10133, 749, 1047, 16, 289, 1215, 678, 16, 46294, 1185, 16, 282, 1362, 2800, 14248, 18, 472, 4708, 18696, 685, 282, 1177, 2894, 7655, 320, 2033, 16, 32471, 3436, 26654, 18, 19432, 45042, 320, 34712, 6769, 760, 17522, 373, 773, 18, 22004, 2124, 326, 5692, 1617, 1939, 16, 289, 478, 780, 339, 32733, 470, 10587, 652, 43048, 506, 349, 14757, 968, 13270, 282, 34456, 18, 22154, 510, 20392, 10868, 510, 40051, 30, 3572, 24, 473, 6862, 30, 6462, 16, 4016, 30, 8914, 16, 3695, 30, 7536, 16, 5741, 30, 6091, 13, 365, 30, 16164, 271, 473, 8081, 934, 16772, 272, 15432, 473, 3420, 934, 8426, 297, 473, 4234, 934, 13028, 5353, 283, 473, 3572, 15, 2783, 8533, 291, 13, 768, 30, 19432, 473, 4691, 934, 7120, 1080, 17039, 473, 2932, 934, 3699, 1869, 473, 2692, 934, 586, 6194, 312, 473, 3902, 13, 6835, 17, 15900, 510, 4033, 1822, 660, 510, 29262, 30, 2479, 22, 473, 6091, 30, 3420, 16, 4039, 30, 6862, 16, 3436, 30, 6862, 16, 1281, 30, 6894, 13, 391, 4298, 30, 34415, 473, 7536, 934, 21551, 872, 266, 473, 2783, 934, 49193, 473, 2783, 13, 415, 30, 24088, 2612, 473, 3161, 934, 6331, 9472, 473, 6568, 934, 5154, 5858, 1528, 473, 3114, 934, 768, 48890, 473, 28, 15, 2479, 8533, 291, 13, 18840, 354, 510, 457, 48577, 510, 29262, 30, 17212, 473, 6475, 30, 2692 ]
[ 16, 3436, 30, 6462, 16, 3703, 30, 6475, 16, 1939, 30, 4234, 13, 439, 30, 19501, 473, 6862, 15, 3114, 8533, 291, 934, 44514, 473, 6462, 934, 40232, 473, 4234, 13, 457, 30, 5002, 296, 4654, 473, 5759, 934, 24290, 868, 262, 473, 4234, 934, 44514, 473, 4234, 13, 10051, 293, 872, 267, 510, 6835, 17, 10594, 47015, 510, 25898, 30, 17867, 473, 8976, 30, 3420, 16, 3695, 30, 6091, 16, 3695, 30, 6091, 16, 4055, 30, 6862, 13, 403, 30, 5000, 43403, 473, 6091, 15, 3940, 8533, 291, 934, 504, 15044, 22249, 473, 2932, 934, 19047, 3327, 473, 2932, 934, 727, 323, 473, 4234, 13, 391, 822, 30, 35050, 267, 473, 1618, 934, 5407, 5159, 473, 3114, 934, 20334, 399, 4807, 473, 3940, 934, 19475, 526, 2078, 267, 473, 3940, 13, 31376, 266, 510, 403, 3431, 16929, 510, 31932, 30, 2479, 22, 473, 6091, 30, 3161, 16, 14691, 30, 3902, 16, 1939, 30, 7536, 16, 2123, 30, 6091, 13, 1034, 30, 415, 877, 14067, 473, 5493, 934, 30060, 868, 2612, 473, 3420, 934, 44260, 473, 3114, 934, 608, 368, 320, 473, 3940, 13, 403, 30, 7599, 2106, 297, 473, 4691, 934, 25868, 711, 356, 473, 2932, 934, 31405, 11452, 473, 3940, 934, 1714, 298, 626, 262, 473, 3940, 13, 31376, 266, 510, 403, 3431, 16929, 510, 31932, 30, 2479, 22, 473, 6091, 30, 3161, 16, 14691, 30, 3902, 16, 1939, 30, 7536, 16, 2123, 30, 6091, 13, 1034, 30, 415, 877, 14067, 473, 5493, 934, 30060, 868, 2612, 473, 3420, 934, 44260, 473, 3114, 934, 608, 368, 320, 473, 3940, 13, 403, 30, 7599, 2106, 297, 473, 4691, 934, 25868, 711, 356, 473, 2932, 934, 31405, 11452, 473, 3940, 934, 1714, 298, 626, 262, 473, 3940, 13, 10527, 14313, 32017, 510, 3569, 1208, 4970, 510, 31932, 30, 16497, 473, 8914, 30, 4691, 16, 2261, 30, 2692, 16, 4518, 30, 1618, 16, 1281, 30, 2932, 13, 727, 30, 9065, 578, 4013, 473, 5493, 934, 8615, 446, 455, 473, 6568, 934, 28504, 1723, 473, 3572, 15, 2479, 8533, 291, 13, 421, 30, 4218, 487, 473, 2932, 15, 3572, 8533, 291, 934, 768, 3651, 4807, 473, 2783, 934, 2502, 272, 320, 473, 3572, 13, 21818, 748, 274, 3780, 2608, 4419, 478, 1659, 27254, 470, 281, 48737, 304, 282, 5271, 7000, 706, 281, 478, 780, 339, 32733, 304, 470, 510, 39333, 30, 12770, 18, 365, 970, 16, 374, 478, 780, 339, 32733, 272, 470, 9553, 4693, 449, 1736, 301, 16, 2950, 1085, 19944, 726, 1011, 4056, 11678, 18, 19770, 3583, 1741, 281, 37751, 478, 15, 2932, 861, 365, 14515, 23523, 16432, 478, 1009, 3394, 27790, 470, 38245, 26847, 32023, 282, 9547, 651, 22291, 30, 9869, 18, 478, 780, 339, 32733, 470, 282, 6031, 21035, 16, 3429, 1472, 35962, 15825, 282, 11258, 16, 1754, 3225, 27714, 1143, 594, 12994, 282, 8267, 281, 478, 1659, 27254, 861, 478, 983, 2679, 38278, 470, 575, 282, 6940, 445, 32546, 2043, 506, 11616, 16, 2006, 309, 36934, 7193, 529, 12227, 2697, 8496, 18, 640, 1360, 14597, 478, 1659, 27254, 470, 4360, 7739, 4151, 40415, 21613, 12994, 282, 11099, 18, 365, 25857, 575, 651, 29262, 18, 478, 27296, 17, 15900, 470, 749, 23670, 25469, 478, 17810, 1822, 660, 861, 3739, 282, 8151, 5897, 4699, 23523, 478, 10430, 267, 470, 898, 7736, 16, 515, 282, 6031, 329, 7367, 651, 29262, 30, 2479, 22, 18, 478, 17810, 1822, 660, 470, 3676, 404, 411, 6566, 16287, 7609, 16641, 18, 20169, 47203, 6016, 475, 2159, 2904, 309, 8583, 6767, 768, 9698, 476, 1624, 20113, 16355, 1262, 478, 10430, 267, 470, 20800, 38346, 506, 8860, 5123, 24088, 34569, 1624, 1029, 282, 6031, 18462, 2555, 12994, 18, 817, 46164, 3103, 478, 41776, 470, 289, 1559, 10095, 9402, 924, 16, 374, 17786, 411, 46512, 478, 27296, 17, 29596, 470, 1103, 29791, 519, 3437, 16287, 18, 9570, 478, 10430, 267, 470, 47844, 281, 768, 48890, 304, 18, 365, 29488, 9547, 281, 478, 21837, 2895, 1845, 26132, 470, 492, 18462, 7640, 12994, 16, 1958, 743, 15513, 42361, 16, 1763, 18402, 11166, 45185, 10556, 432, 4744, 2449, 18, 640, 1177, 445, 309, 14540, 478, 32804, 320, 4111, 470, 1472, 1488, 12994, 289, 1533, 8533, 291, 18, 7249, 309, 502, 16, 374, 6260, 16164, 271, 18462, 15513, 448, 541, 965, 9690, 12994, 16, 478, 34275, 32446, 470, 25469, 282, 1912, 17, 295, 445, 349, 4101, 2511, 16287, 18, 640, 1177, 445, 478, 21116, 431, 3310, 267, 470, 329, 7367, 478, 1916, 957, 285, 4681, 861, 478, 684, 3431, 16929, 470, 44065, 8955, 329, 478, 48404, 2362, 266, 910, 478, 30731, 14313, 32017, 470, 42100, 332, 478, 780, 26276, 7447, 470, 289, 519, 4319, 1326, 322, 3365, 7906, 447, 13939, 46512, 18, 478, 27296, 17, 17810, 426, 363, 470, 575, 374, 1642, 16, 374, 282, 25857, 9988, 15198, 1151, 18, 13138, 935, 5992, 18, 640, 1177, 445, 478, 1916, 350, 1344, 267, 470, 329, 7367, 478, 45065, 637, 554, 861, 37540, 32671, 7561, 478, 630, 2561, 292, 3372, 470, 30682, 23063, 8955, 282, 45978, 913, 18, 38984, 478, 563, 310, 345, 3646, 470, 2227, 22669, 267, 289, 42255, 5409, 1344, 266, 939, 19785, 16, 515, 697, 10544, 3142, 726, 10487, 18, 4338, 282, 35772, 40984, 467, 2388, 8404, 16, 428, 42255, 12653, 13389, 289, 12626, 310, 21094, 285, 296, 1554, 1624, 32557, 1733, 5244, 478, 789, 27647, 267, 861, 21032, 37341, 25467, 309, 29510, 30482, 478, 25769, 1208, 4970, 910, 2588, 7788, 3453, 14148, 1941, 15825, 282, 25881, 42361, 18, 8583, 686, 15194, 9680, 718, 30391, 6331, 454, 439, 2429, 22875, 3225, 32558, 12727, 16, 282, 2114, 5641, 11744, 2712, 42255, 11785, 18, 24747, 31112, 282, 5271, 478, 15821, 523, 470, 2170, 5171, 2615, 9518, 282, 12654, 12903, 472, 3047, 45428, 262, 18, 459, 475, 575, 3333, 282, 10021, 750, 478, 25769, 1208, 3244, 470, 289, 478, 563, 333, 287, 503, 299, 470, 30689, 309, 478, 9865, 13789, 861, 14427, 35661, 28654, 13236, 915, 883, 718, 7586, 22932, 453, 30, 478, 3096, 895, 9266, 2611, 38416, 267, 851, 13091, 1272, 7977, 9410, 4271, 985, 5121, 16, 895, 18, 1591, 9155, 281, 478, 822, 300, 1145, 304, 470, 25236, 478, 563, 333, 287, 503, 299, 470, 18462, 1223, 1421, 26654, 16, 1763, 743, 1223, 1176, 411, 10504, 1634, 4744, 2449, 18, 365, 3569, 404, 9317, 823, 409, 9266, 2611, 16480, 2734, 1882, 18, 1598, 2287, 17, 345, 505, 478, 560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3436, 30, 6462, 16, 3703, 30, 6475, 16, 1939, 30, 4234, 13, 439, 30, 19501, 473, 6862, 15, 3114, 8533, 291, 934, 44514, 473, 6462, 934, 40232, 473, 4234, 13, 457, 30, 5002, 296, 4654, 473, 5759, 934, 24290, 868, 262, 473, 4234, 934, 44514, 473, 4234, 13, 10051, 293, 872, 267, 510, 6835, 17, 10594, 47015, 510, 25898, 30, 17867, 473, 8976, 30, 3420, 16, 3695, 30, 6091, 16, 3695, 30, 6091, 16, 4055, 30, 6862, 13, 403, 30, 5000, 43403, 473, 6091, 15, 3940, 8533, 291, 934, 504, 15044, 22249, 473, 2932, 934, 19047, 3327, 473, 2932, 934, 727, 323, 473, 4234, 13, 391, 822, 30, 35050, 267, 473, 1618, 934, 5407, 5159, 473, 3114, 934, 20334, 399, 4807, 473, 3940, 934, 19475, 526, 2078, 267, 473, 3940, 13, 31376, 266, 510, 403, 3431, 16929, 510, 31932, 30, 2479, 22, 473, 6091, 30, 3161, 16, 14691, 30, 3902, 16, 1939, 30, 7536, 16, 2123, 30, 6091, 13, 1034, 30, 415, 877, 14067, 473, 5493, 934, 30060, 868, 2612, 473, 3420, 934, 44260, 473, 3114, 934, 608, 368, 320, 473, 3940, 13, 403, 30, 7599, 2106, 297, 473, 4691, 934, 25868, 711, 356, 473, 2932, 934, 31405, 11452, 473, 3940, 934, 1714, 298, 626, 262, 473, 3940, 13, 31376, 266, 510, 403, 3431, 16929, 510, 31932, 30, 2479, 22, 473, 6091, 30, 3161, 16, 14691, 30, 3902, 16, 1939, 30, 7536, 16, 2123, 30, 6091, 13, 1034, 30, 415, 877, 14067, 473, 5493, 934, 30060, 868, 2612, 473, 3420, 934, 44260, 473, 3114, 934, 608, 368, 320, 473, 3940, 13, 403, 30, 7599, 2106, 297, 473, 4691, 934, 25868, 711, 356, 473, 2932, 934, 31405, 11452, 473, 3940, 934, 1714, 298, 626, 262, 473, 3940, 13, 10527, 14313, 32017, 510, 3569, 1208, 4970, 510, 31932, 30, 16497, 473, 8914, 30, 4691, 16, 2261, 30, 2692, 16, 4518, 30, 1618, 16, 1281, 30, 2932, 13, 727, 30, 9065, 578, 4013, 473, 5493, 934, 8615, 446, 455, 473, 6568, 934, 28504, 1723, 473, 3572, 15, 2479, 8533, 291, 13, 421, 30, 4218, 487, 473, 2932, 15, 3572, 8533, 291, 934, 768, 3651, 4807, 473, 2783, 934, 2502, 272, 320, 473, 3572, 13, 21818, 748, 274, 3780, 2608, 4419, 478, 1659, 27254, 470, 281, 48737, 304, 282, 5271, 7000, 706, 281, 478, 780, 339, 32733, 304, 470, 510, 39333, 30, 12770, 18, 365, 970, 16, 374, 478, 780, 339, 32733, 272, 470, 9553, 4693, 449, 1736, 301, 16, 2950, 1085, 19944, 726, 1011, 4056, 11678, 18, 19770, 3583, 1741, 281, 37751, 478, 15, 2932, 861, 365, 14515, 23523, 16432, 478, 1009, 3394, 27790, 470, 38245, 26847, 32023, 282, 9547, 651, 22291, 30, 9869, 18, 478, 780, 339, 32733, 470, 282, 6031, 21035, 16, 3429, 1472, 35962, 15825, 282, 11258, 16, 1754, 3225, 27714, 1143, 594, 12994, 282, 8267, 281, 478, 1659, 27254, 861, 478, 983, 2679, 38278, 470, 575, 282, 6940, 445, 32546, 2043, 506, 11616, 16, 2006, 309, 36934, 7193, 529, 12227, 2697, 8496, 18, 640, 1360, 14597, 478, 1659, 27254, 470, 4360, 7739, 4151, 40415, 21613, 12994, 282, 11099, 18, 365, 25857, 575, 651, 29262, 18, 478, 27296, 17, 15900, 470, 749, 23670, 25469, 478, 17810, 1822, 660, 861, 3739, 282, 8151, 5897, 4699, 23523, 478, 10430, 267, 470, 898, 7736, 16, 515, 282, 6031, 329, 7367, 651, 29262, 30, 2479, 22, 18, 478, 17810, 1822, 660, 470, 3676, 404, 411, 6566, 16287, 7609, 16641, 18, 20169, 47203, 6016, 475, 2159, 2904, 309, 8583, 6767, 768, 9698, 476, 1624, 20113, 16355, 1262, 478, 10430, 267, 470, 20800, 38346, 506, 8860, 5123, 24088, 34569, 1624, 1029, 282, 6031, 18462, 2555, 12994, 18, 817, 46164, 3103, 478, 41776, 470, 289, 1559, 10095, 9402, 924, 16, 374, 17786, 411, 46512, 478, 27296, 17, 29596, 470, 1103, 29791, 519, 3437, 16287, 18, 9570, 478, 10430, 267, 470, 47844, 281, 768, 48890, 304, 18, 365, 29488, 9547, 281, 478, 21837, 2895, 1845, 26132, 470, 492, 18462, 7640, 12994, 16, 1958, 743, 15513, 42361, 16, 1763, 18402, 11166, 45185, 10556, 432, 4744, 2449, 18, 640, 1177, 445, 309, 14540, 478, 32804, 320, 4111, 470, 1472, 1488, 12994, 289, 1533, 8533, 291, 18, 7249, 309, 502, 16, 374, 6260, 16164, 271, 18462, 15513, 448, 541, 965, 9690, 12994, 16, 478, 34275, 32446, 470, 25469, 282, 1912, 17, 295, 445, 349, 4101, 2511, 16287, 18, 640, 1177, 445, 478, 21116, 431, 3310, 267, 470, 329, 7367, 478, 1916, 957, 285, 4681, 861, 478, 684, 3431, 16929, 470, 44065, 8955, 329, 478, 48404, 2362, 266, 910, 478, 30731, 14313, 32017, 470, 42100, 332, 478, 780, 26276, 7447, 470, 289, 519, 4319, 1326, 322, 3365, 7906, 447, 13939, 46512, 18, 478, 27296, 17, 17810, 426, 363, 470, 575, 374, 1642, 16, 374, 282, 25857, 9988, 15198, 1151, 18, 13138, 935, 5992, 18, 640, 1177, 445, 478, 1916, 350, 1344, 267, 470, 329, 7367, 478, 45065, 637, 554, 861, 37540, 32671, 7561, 478, 630, 2561, 292, 3372, 470, 30682, 23063, 8955, 282, 45978, 913, 18, 38984, 478, 563, 310, 345, 3646, 470, 2227, 22669, 267, 289, 42255, 5409, 1344, 266, 939, 19785, 16, 515, 697, 10544, 3142, 726, 10487, 18, 4338, 282, 35772, 40984, 467, 2388, 8404, 16, 428, 42255, 12653, 13389, 289, 12626, 310, 21094, 285, 296, 1554, 1624, 32557, 1733, 5244, 478, 789, 27647, 267, 861, 21032, 37341, 25467, 309, 29510, 30482, 478, 25769, 1208, 4970, 910, 2588, 7788, 3453, 14148, 1941, 15825, 282, 25881, 42361, 18, 8583, 686, 15194, 9680, 718, 30391, 6331, 454, 439, 2429, 22875, 3225, 32558, 12727, 16, 282, 2114, 5641, 11744, 2712, 42255, 11785, 18, 24747, 31112, 282, 5271, 478, 15821, 523, 470, 2170, 5171, 2615, 9518, 282, 12654, 12903, 472, 3047, 45428, 262, 18, 459, 475, 575, 3333, 282, 10021, 750, 478, 25769, 1208, 3244, 470, 289, 478, 563, 333, 287, 503, 299, 470, 30689, 309, 478, 9865, 13789, 861, 14427, 35661, 28654, 13236, 915, 883, 718, 7586, 22932, 453, 30, 478, 3096, 895, 9266, 2611, 38416, 267, 851, 13091, 1272, 7977, 9410, 4271, 985, 5121, 16, 895, 18, 1591, 9155, 281, 478, 822, 300, 1145, 304, 470, 25236, 478, 563, 333, 287, 503, 299, 470, 18462, 1223, 1421, 26654, 16, 1763, 743, 1223, 1176, 411, 10504, 1634, 4744, 2449, 18, 365, 3569, 404, 9317, 823, 409, 9266, 2611, 16480, 2734, 1882, 18, 1598, 2287, 17, 345, 505, 478, 560 ]
[ 881, 1388, 470, 282, 3300, 11596, 1421, 18, 2681, 5222, 1943, 6281, 453, 16, 428, 11785, 18, 42255, 13721, 271, 581, 7839, 17, 347, 7839, 16, 32471, 11114, 26654, 289, 20318, 2287, 8533, 291, 18, 36223, 2110, 10133, 685, 1537, 26779, 282, 19280, 17, 46013, 18, 9046, 4990, 14007, 478, 822, 300, 1145, 470, 289, 478, 40176, 9058, 267, 470, 5658, 664, 262, 7327, 506, 282, 4789, 1212, 28915, 707, 18, 365, 6576, 547, 12013, 42361, 1143, 7197, 1886, 290, 45895, 617, 16, 367, 46847, 4765, 16, 282, 1754, 4966, 309, 4038, 322, 8074, 326, 289, 9469, 12994, 16, 284, 356, 5945, 267, 18, 365, 19280, 17, 46013, 316, 2602, 349, 6441, 18, 640, 818, 489, 1510, 282, 7426, 38369, 334, 4317, 12994, 403, 16892, 18357, 2128, 309, 7256, 445, 11176, 811, 2418, 17, 306, 16, 367, 3818, 1619, 12310, 282, 5271, 17701, 1559, 23261, 11997, 392, 277, 1624, 309, 14540, 2024, 2123, 18, 1598, 326, 12103, 3111, 290, 970, 16, 374, 7265, 27665, 304, 478, 822, 300, 42596, 470, 289, 282, 1335, 9155, 685, 450, 1395, 273, 3568, 9052, 382, 18, 640, 14540, 17506, 20113, 16355, 419, 3695, 48148, 18, 14097, 475, 808, 7387, 48148, 282, 48148, 18, 2255, 2059, 411, 3541, 322, 14985, 39164, 18, 3739, 349, 1421, 13053, 519, 5251, 1809, 949, 16946, 2948, 685, 3077, 451, 651, 5953, 30, 6695, 18, 7704, 4156, 478, 40176, 9058, 267, 470, 5568, 37700, 32386, 6972, 368, 40248, 343, 10527, 37623, 18, 11333, 7036, 16, 6034, 289, 7005, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 18511, 1674, 12152, 7541, 478, 31368, 894, 470, 19911, 455, 1421, 286, 268, 962, 12152, 7541, 510, 12652, 451, 1590, 269, 16471, 19476, 411, 5781, 12466, 16, 1029, 1943, 30468, 46626, 306, 4534, 309, 30344, 13325, 18, 31224, 30, 20377, 286, 268, 962, 7179, 12152, 7541, 282, 478, 1009, 2025, 452, 470, 8486, 281, 3357, 264, 33686, 478, 22235, 1337, 322, 5343, 910, 281, 3279, 1069, 6746, 285, 411, 42836, 14013, 11170, 328, 27551, 20727, 309, 8907, 2906, 773, 478, 29521, 40923, 470, 510, 6242, 291, 1133, 1573, 2370, 424, 37163, 758, 19167, 4455, 18, 3863, 1934, 1458, 19300, 1235, 282, 21095, 2496, 13289, 904, 25350, 670, 2944, 6924, 388, 343, 6379, 282, 11147, 19476, 18, 385, 867, 575, 15174, 6272, 416, 10878, 16, 2043, 2545, 2754, 18860, 16, 757, 1852, 19908, 266, 478, 22766, 42192, 16, 322, 3019, 24450, 367, 1882, 651, 478, 780, 4229, 34599, 30728, 24450, 1038, 1969, 379, 5229, 309, 478, 29521, 899, 4678, 470, 282, 4095, 10705, 1175, 18, 478, 31368, 894, 470, 32819, 1595, 20081, 451, 334, 20057, 272, 4871, 16, 1029, 28406, 840, 15961, 282, 21095, 445, 282, 1421, 779, 18, 832, 405, 5566, 49777, 541, 3725, 2438, 12697, 2496, 12466, 651, 6367, 4696, 11007, 18, 23569, 14110, 11303, 33334, 9848, 16, 374, 11663, 2963, 1472, 24048, 2977, 9587, 16, 4080, 2175, 5549, 4167, 5285, 928, 428, 411, 14774, 16, 453, 289, 411, 7583, 26409, 1354, 18, 2046, 282, 3198, 8773, 453, 289, 322, 16844, 811, 2223, 309, 18860, 282, 478, 1009, 2025, 452, 910, 453, 428, 29197, 1250, 322, 11257, 1122, 30344, 13325, 18, 7758, 575, 309, 1421, 286, 268, 962, 12299, 5270, 13289, 19476, 16, 1639, 29197, 1250, 21538, 411, 3676, 404, 334, 18878, 38540, 1175, 18, 1606, 44303, 318, 334, 10096, 5037, 277, 510, 478, 27794, 5398, 277, 861, 29750, 478, 43090, 17, 791, 24174, 470, 34149, 5480, 4151, 16, 961, 2419, 1190, 1568, 289, 7402, 783, 16, 282, 478, 32356, 948, 1207, 3193, 470, 12299, 23767, 8306, 30809, 14820, 16, 6677, 478, 15309, 622, 10009, 470, 289, 478, 19622, 1924, 3182, 7541, 470, 25749, 290, 26409, 3705, 281, 22567, 13294, 2922, 16, 367, 478, 11636, 755, 1133, 40950, 470, 510, 290, 1110, 681, 2244, 16, 961, 49274, 4364, 33468, 18, 3739, 912, 3885, 478, 6115, 3137, 5075, 910, 587, 42289, 17853, 10784, 25608, 16, 367, 1038, 510, 478, 21117, 399, 5311, 17421, 910, 30015, 422, 2640, 17, 441, 552, 18, 18983, 2012, 10965, 3589, 26893, 11260, 15119, 23030, 867, 16, 374, 29197, 1250, 16, 334, 3163, 6677, 22109, 6660, 478, 1009, 2025, 626, 470, 2215, 394, 1367, 809, 1161, 16, 7650, 3003, 478, 404, 17409, 1855, 1617, 21874, 13265, 4509, 1444, 1436, 1918, 910, 5019, 31402, 9017, 27737, 1595, 708, 487, 368, 289, 2703, 6468, 10866, 3193, 18, 14078, 334, 1190, 7865, 1421, 286, 268, 962, 32913, 3308, 510, 26946, 309, 1405, 22030, 509, 19476, 411, 12466, 289, 8051, 697, 282, 2395, 547, 36798, 21095, 16, 282, 4577, 4611, 2024, 13054, 25750, 1472, 46743, 25207, 12890, 18, 996, 16, 3057, 16, 478, 31368, 894, 470, 8418, 8450, 607, 431, 287, 33879, 23427, 1624, 2236, 411, 10235, 2191, 31549, 12137, 289, 20970, 312, 431, 2632, 12152, 7541, 16, 289, 505, 2276, 300, 379, 1066, 478, 13555, 539, 470, 651, 1197, 324, 937, 12110, 478, 12427, 280, 1378, 7868, 910, 309, 23437, 1587, 1195, 48113, 2368, 26792, 15222, 35364, 16, 16784, 280, 1082, 289, 1073, 3334, 15348, 1082, 18, 3428, 9001, 17535, 501, 25113, 281, 505, 31343, 10878, 478, 19059, 1136, 303, 711, 910, 2390, 2545, 1807, 11422, 40830, 3881, 607, 332, 16, 24316, 2001, 15781, 16, 14490, 668, 411, 5920, 2198, 1122, 21475, 18, 967, 11156, 34213, 5968, 678, 6369, 8839, 319, 469, 1528, 262, 1396, 3773, 758, 1257, 7054, 16, 49926, 26931, 778, 20755, 49750, 18, 2046, 3984, 4757, 318, 16, 935, 518, 31311, 16, 322, 3147, 4903, 448, 541, 4534, 16188, 16, 43627, 309, 18860, 16, 428, 5429, 16, 726, 4247, 1851, 17, 26707, 323, 12393, 416, 6656, 46346, 473, 264, 3888, 651, 935, 21487, 814, 439, 2388, 40762, 2223, 3402, 16, 428, 21510, 670, 18551, 16, 12547, 33468, 16, 961, 282, 3941, 1360, 25059, 30893, 282, 5876, 2127, 7487, 6731, 1805, 289, 4521, 322, 25962, 14372, 1809, 24034, 1421, 286, 268, 962, 18, 5161, 16, 21510, 309, 18860, 12547, 12507, 7022, 1798, 281, 478, 1098, 611, 416, 12502, 323, 910, 5757, 49694, 42330, 15665, 349, 24531, 281, 2417, 32600, 520, 13306, 3053, 5364, 16, 289, 16922, 5409, 5101, 16, 4308, 4063, 345, 12703, 13048, 28593, 24069, 29934, 287, 2497, 1028, 1458, 7822, 1133, 48886, 289, 40463, 509, 13993, 18, 18551, 6048, 33478, 632, 732, 672, 16, 1586, 38992, 10496, 10938, 41850, 4871, 16, 1141, 482, 265, 10977, 17312, 448, 6101, 32810, 4626, 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 ]
[ 881, 1388, 470, 282, 3300, 11596, 1421, 18, 2681, 5222, 1943, 6281, 453, 16, 428, 11785, 18, 42255, 13721, 271, 581, 7839, 17, 347, 7839, 16, 32471, 11114, 26654, 289, 20318, 2287, 8533, 291, 18, 36223, 2110, 10133, 685, 1537, 26779, 282, 19280, 17, 46013, 18, 9046, 4990, 14007, 478, 822, 300, 1145, 470, 289, 478, 40176, 9058, 267, 470, 5658, 664, 262, 7327, 506, 282, 4789, 1212, 28915, 707, 18, 365, 6576, 547, 12013, 42361, 1143, 7197, 1886, 290, 45895, 617, 16, 367, 46847, 4765, 16, 282, 1754, 4966, 309, 4038, 322, 8074, 326, 289, 9469, 12994, 16, 284, 356, 5945, 267, 18, 365, 19280, 17, 46013, 316, 2602, 349, 6441, 18, 640, 818, 489, 1510, 282, 7426, 38369, 334, 4317, 12994, 403, 16892, 18357, 2128, 309, 7256, 445, 11176, 811, 2418, 17, 306, 16, 367, 3818, 1619, 12310, 282, 5271, 17701, 1559, 23261, 11997, 392, 277, 1624, 309, 14540, 2024, 2123, 18, 1598, 326, 12103, 3111, 290, 970, 16, 374, 7265, 27665, 304, 478, 822, 300, 42596, 470, 289, 282, 1335, 9155, 685, 450, 1395, 273, 3568, 9052, 382, 18, 640, 14540, 17506, 20113, 16355, 419, 3695, 48148, 18, 14097, 475, 808, 7387, 48148, 282, 48148, 18, 2255, 2059, 411, 3541, 322, 14985, 39164, 18, 3739, 349, 1421, 13053, 519, 5251, 1809, 949, 16946, 2948, 685, 3077, 451, 651, 5953, 30, 6695, 18, 7704, 4156, 478, 40176, 9058, 267, 470, 5568, 37700, 32386, 6972, 368, 40248, 343, 10527, 37623, 18, 11333, 7036, 16, 6034, 289, 7005, 942, 5298, 309, 7759, 42361, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 18511, 1674, 12152, 7541, 478, 31368, 894, 470, 19911, 455, 1421, 286, 268, 962, 12152, 7541, 510, 12652, 451, 1590, 269, 16471, 19476, 411, 5781, 12466, 16, 1029, 1943, 30468, 46626, 306, 4534, 309, 30344, 13325, 18, 31224, 30, 20377, 286, 268, 962, 7179, 12152, 7541, 282, 478, 1009, 2025, 452, 470, 8486, 281, 3357, 264, 33686, 478, 22235, 1337, 322, 5343, 910, 281, 3279, 1069, 6746, 285, 411, 42836, 14013, 11170, 328, 27551, 20727, 309, 8907, 2906, 773, 478, 29521, 40923, 470, 510, 6242, 291, 1133, 1573, 2370, 424, 37163, 758, 19167, 4455, 18, 3863, 1934, 1458, 19300, 1235, 282, 21095, 2496, 13289, 904, 25350, 670, 2944, 6924, 388, 343, 6379, 282, 11147, 19476, 18, 385, 867, 575, 15174, 6272, 416, 10878, 16, 2043, 2545, 2754, 18860, 16, 757, 1852, 19908, 266, 478, 22766, 42192, 16, 322, 3019, 24450, 367, 1882, 651, 478, 780, 4229, 34599, 30728, 24450, 1038, 1969, 379, 5229, 309, 478, 29521, 899, 4678, 470, 282, 4095, 10705, 1175, 18, 478, 31368, 894, 470, 32819, 1595, 20081, 451, 334, 20057, 272, 4871, 16, 1029, 28406, 840, 15961, 282, 21095, 445, 282, 1421, 779, 18, 832, 405, 5566, 49777, 541, 3725, 2438, 12697, 2496, 12466, 651, 6367, 4696, 11007, 18, 23569, 14110, 11303, 33334, 9848, 16, 374, 11663, 2963, 1472, 24048, 2977, 9587, 16, 4080, 2175, 5549, 4167, 5285, 928, 428, 411, 14774, 16, 453, 289, 411, 7583, 26409, 1354, 18, 2046, 282, 3198, 8773, 453, 289, 322, 16844, 811, 2223, 309, 18860, 282, 478, 1009, 2025, 452, 910, 453, 428, 29197, 1250, 322, 11257, 1122, 30344, 13325, 18, 7758, 575, 309, 1421, 286, 268, 962, 12299, 5270, 13289, 19476, 16, 1639, 29197, 1250, 21538, 411, 3676, 404, 334, 18878, 38540, 1175, 18, 1606, 44303, 318, 334, 10096, 5037, 277, 510, 478, 27794, 5398, 277, 861, 29750, 478, 43090, 17, 791, 24174, 470, 34149, 5480, 4151, 16, 961, 2419, 1190, 1568, 289, 7402, 783, 16, 282, 478, 32356, 948, 1207, 3193, 470, 12299, 23767, 8306, 30809, 14820, 16, 6677, 478, 15309, 622, 10009, 470, 289, 478, 19622, 1924, 3182, 7541, 470, 25749, 290, 26409, 3705, 281, 22567, 13294, 2922, 16, 367, 478, 11636, 755, 1133, 40950, 470, 510, 290, 1110, 681, 2244, 16, 961, 49274, 4364, 33468, 18, 3739, 912, 3885, 478, 6115, 3137, 5075, 910, 587, 42289, 17853, 10784, 25608, 16, 367, 1038, 510, 478, 21117, 399, 5311, 17421, 910, 30015, 422, 2640, 17, 441, 552, 18, 18983, 2012, 10965, 3589, 26893, 11260, 15119, 23030, 867, 16, 374, 29197, 1250, 16, 334, 3163, 6677, 22109, 6660, 478, 1009, 2025, 626, 470, 2215, 394, 1367, 809, 1161, 16, 7650, 3003, 478, 404, 17409, 1855, 1617, 21874, 13265, 4509, 1444, 1436, 1918, 910, 5019, 31402, 9017, 27737, 1595, 708, 487, 368, 289, 2703, 6468, 10866, 3193, 18, 14078, 334, 1190, 7865, 1421, 286, 268, 962, 32913, 3308, 510, 26946, 309, 1405, 22030, 509, 19476, 411, 12466, 289, 8051, 697, 282, 2395, 547, 36798, 21095, 16, 282, 4577, 4611, 2024, 13054, 25750, 1472, 46743, 25207, 12890, 18, 996, 16, 3057, 16, 478, 31368, 894, 470, 8418, 8450, 607, 431, 287, 33879, 23427, 1624, 2236, 411, 10235, 2191, 31549, 12137, 289, 20970, 312, 431, 2632, 12152, 7541, 16, 289, 505, 2276, 300, 379, 1066, 478, 13555, 539, 470, 651, 1197, 324, 937, 12110, 478, 12427, 280, 1378, 7868, 910, 309, 23437, 1587, 1195, 48113, 2368, 26792, 15222, 35364, 16, 16784, 280, 1082, 289, 1073, 3334, 15348, 1082, 18, 3428, 9001, 17535, 501, 25113, 281, 505, 31343, 10878, 478, 19059, 1136, 303, 711, 910, 2390, 2545, 1807, 11422, 40830, 3881, 607, 332, 16, 24316, 2001, 15781, 16, 14490, 668, 411, 5920, 2198, 1122, 21475, 18, 967, 11156, 34213, 5968, 678, 6369, 8839, 319, 469, 1528, 262, 1396, 3773, 758, 1257, 7054, 16, 49926, 26931, 778, 20755, 49750, 18, 2046, 3984, 4757, 318, 16, 935, 518, 31311, 16, 322, 3147, 4903, 448, 541, 4534, 16188, 16, 43627, 309, 18860, 16, 428, 5429, 16, 726, 4247, 1851, 17, 26707, 323, 12393, 416, 6656, 46346, 473, 264, 3888, 651, 935, 21487, 814, 439, 2388, 40762, 2223, 3402, 16, 428, 21510, 670, 18551, 16, 12547, 33468, 16, 961, 282, 3941, 1360, 25059, 30893, 282, 5876, 2127, 7487, 6731, 1805, 289, 4521, 322, 25962, 14372, 1809, 24034, 1421, 286, 268, 962, 18, 5161, 16, 21510, 309, 18860, 12547, 12507, 7022, 1798, 281, 478, 1098, 611, 416, 12502, 323, 910, 5757, 49694, 42330, 15665, 349, 24531, 281, 2417, 32600, 520, 13306, 3053, 5364, 16, 289, 16922, 5409, 5101, 16, 4308, 4063, 345, 12703, 13048, 28593, 24069, 29934, 287, 2497, 1028, 1458, 7822, 1133, 48886, 289, 40463, 509, 13993, 18, 18551, 6048, 33478, 632, 732, 672, 16, 1586, 38992, 10496, 10938, 41850, 4871, 16, 1141, 482, 265, 10977, 17312, 448, 6101, 32810, 4626, 289 ]
[ 3471, 1815, 43374, 6886, 11125, 282, 478, 7701, 707, 4150, 5534, 5348, 289, 12373, 6454, 470, 289, 30049, 478, 399, 25186, 20614, 289, 16293, 7541, 861, 6630, 271, 944, 26801, 29197, 8943, 6958, 2110, 13294, 285, 16, 2733, 2175, 16, 3226, 9367, 466, 560, 1812, 309, 8011, 12137, 16, 2944, 6924, 388, 343, 6379, 289, 3337, 1378, 13294, 2922, 48976, 16, 367, 502, 289, 22647, 18, 11568, 623, 1489, 16, 2091, 16, 912, 16, 515, 697, 322, 453, 1269, 16, 428, 3813, 373, 18, 640, 4432, 16, 2686, 16, 5823, 475, 518, 575, 30, 478, 35959, 32830, 1701, 1637, 470, 39064, 2327, 277, 2347, 718, 282, 26529, 1857, 35803, 5120, 36338, 16, 31239, 46050, 1311, 12869, 10483, 3384, 31993, 16714, 44721, 872, 30058, 290, 38105, 8191, 282, 40883, 7823, 378, 2851, 435, 38438, 42235, 18, 439, 1038, 33721, 9001, 28013, 22403, 1624, 14818, 18879, 1155, 831, 18642, 2402, 265, 17, 5983, 2169, 16, 4011, 20847, 1014, 411, 31697, 21368, 670, 2964, 818, 3158, 40101, 382, 289, 12955, 382, 18, 8276, 3286, 6832, 4223, 3885, 15119, 16, 1029, 7291, 478, 43090, 17, 791, 24174, 861, 3759, 16438, 1810, 2567, 8460, 12152, 7541, 16, 428, 4944, 22715, 1262, 22009, 1624, 6370, 16420, 967, 1798, 289, 15626, 2327, 277, 2347, 778, 18, 3863, 13549, 16, 11705, 3359, 29307, 24376, 13103, 14943, 17958, 47630, 478, 4441, 639, 8599, 16, 1055, 322, 31362, 18, 23440, 29433, 18372, 470, 381, 34325, 16190, 5054, 282, 2849, 349, 793, 16, 40967, 4277, 366, 14956, 19736, 16, 2242, 671, 589, 42044, 5689, 18540, 18, 1787, 17958, 47630, 1574, 32530, 4362, 16, 3057, 16, 10494, 16, 1029, 2180, 40677, 4557, 3064, 15469, 268, 473, 21639, 451, 16, 34014, 16, 19833, 13, 282, 5118, 477, 2200, 42155, 36683, 17582, 18, 824, 43765, 2820, 5065, 575, 4119, 282, 4599, 19476, 411, 12466, 16480, 289, 583, 478, 31368, 894, 910, 31769, 541, 1129, 322, 28160, 336, 979, 2223, 16, 367, 2283, 4963, 49130, 434, 6780, 16, 19354, 25058, 14471, 289, 5210, 5776, 32968, 553, 12152, 7541, 18, 365, 502, 808, 428, 541, 19655, 289, 11806, 16201, 7541, 2881, 3655, 5075, 16, 2019, 5171, 349, 20241, 8448, 1437, 478, 285, 823, 3589, 17, 28845, 375, 1144, 539, 470, 289, 478, 2460, 2837, 17, 297, 10829, 2837, 861, 4320, 575, 975, 6110, 10030, 282, 4301, 25455, 478, 14845, 11403, 18168, 470, 289, 478, 267, 40294, 3445, 668, 14261, 861, 2, 1, 87, 1456, 81, 2448, 30, 4670, 885, 318, 9353, 758, 1488, 411, 1760, 5120, 14100, 1101, 290, 8597, 416, 7446, 15453, 2449, 3314, 7438, 309, 7512, 48657, 3763, 2791, 16, 282, 970, 2875, 11350, 17, 16795, 33695, 15970, 17, 18876, 434, 25555, 8747, 473, 563, 1295, 5607, 13, 4534, 16095, 31703, 1388, 18, 365, 9251, 10145, 22907, 10970, 394, 16, 36560, 289, 29966, 1157, 18, 4824, 411, 17627, 4486, 16, 22974, 457, 897, 14494, 6190, 4790, 36786, 17981, 9715, 22866, 409, 36230, 519, 4319, 1326, 309, 21431, 289, 28809, 282, 21487, 31692, 18, 31224, 30, 46326, 282, 10882, 7276, 4653, 46518, 10954, 332, 44462, 266, 334, 6619, 8907, 5540, 3280, 434, 15948, 473, 630, 18819, 934, 1541, 1352, 411, 6814, 17981, 1624, 13587, 289, 42877, 510, 453, 24941, 478, 6838, 700, 10970, 483, 861, 7743, 4502, 4688, 282, 3178, 10504, 4776, 424, 8624, 1518, 20256, 15803, 727, 2157, 1624, 1029, 349, 481, 808, 5354, 1038, 13079, 1743, 29530, 1764, 7271, 3340, 289, 1852, 46984, 304, 43788, 267, 795, 18, 999, 409, 2478, 334, 6619, 15143, 282, 48490, 9484, 30, 428, 27250, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 43788, 267, 795, 7956, 608, 507, 15360, 1624, 2650, 23527, 282, 1551, 281, 5507, 14770, 478, 409, 4516, 315, 861, 640, 11796, 1919, 26900, 9522, 8926, 1760, 1135, 16, 961, 16, 5938, 10180, 2116, 1147, 33260, 16, 28647, 9884, 2853, 289, 26450, 414, 11588, 309, 7512, 48657, 3763, 2791, 18, 365, 9251, 10145, 16, 1586, 906, 15622, 282, 5895, 1045, 16, 9311, 5037, 2241, 478, 1605, 2499, 15, 470, 9810, 688, 31500, 712, 1624, 505, 7653, 13877, 27476, 451, 9715, 2151, 507, 1615, 16, 1029, 38609, 937, 6807, 20171, 281, 11998, 758, 17456, 16, 4211, 6328, 4944, 9963, 399, 4083, 778, 16, 18935, 10462, 313, 1285, 16, 6096, 6111, 609, 16, 12189, 7024, 478, 25974, 320, 13728, 10305, 470, 12975, 6072, 1484, 11081, 312, 18, 19947, 273, 415, 18819, 23018, 1441, 726, 24671, 8811, 17329, 6431, 30, 22974, 15970, 17, 18876, 434, 25555, 8747, 473, 563, 1295, 5607, 13, 10208, 16095, 31703, 1388, 16, 22974, 457, 897, 14494, 6190, 4790, 36786, 17981, 9715, 22866, 409, 36230, 1624, 26548, 334, 7117, 13842, 9942, 1335, 575, 17981, 8973, 10602, 1452, 16, 7996, 816, 17, 295, 18622, 17, 45486, 328, 416, 2095, 473, 37445, 1659, 13, 608, 5246, 334, 385, 1295, 5607, 4210, 13463, 375, 16, 7996, 430, 17, 295, 34937, 1659, 924, 575, 8747, 4210, 9057, 296, 6399, 16, 5654, 1947, 9539, 12785, 44020, 4137, 23263, 46083, 16, 10121, 30110, 2169, 1624, 6096, 3138, 286, 933, 16, 367, 1038, 29966, 1157, 430, 17, 295, 34937, 1659, 6070, 46424, 289, 4944, 10051, 609, 18, 49262, 4776, 2158, 529, 7618, 1188, 18900, 475, 16, 3235, 22866, 409, 330, 324, 30, 11350, 17, 16795, 33695, 21396, 289, 25660, 1463, 282, 26962, 10256, 2557, 18, 6592, 30298, 1101, 16, 8811, 6660, 334, 8384, 281, 3701, 982, 8150, 353, 608, 5246, 15970, 17, 18876, 434, 8747, 10208, 473, 31562, 1135, 16, 6895, 1949, 2076, 39654, 837, 15099, 13, 35085, 9835, 334, 26341, 30763, 27822, 289, 3012, 1166, 4371, 290, 1129, 282, 457, 897, 375, 2127, 36909, 16, 1586, 25760, 6406, 11923, 11244, 334, 43715, 6822, 8739, 277, 18, 4541, 15453, 328, 766, 334, 49833, 24979, 22866, 409, 330, 324, 43978, 309, 6380, 7024, 478, 1605, 2499, 15, 910, 30694, 4026, 291, 5540, 371, 3266, 1212, 4328, 476, 15046, 11244, 473, 13929, 34791, 814, 5890, 1122, 12189, 6072, 1484, 11081, 312, 21889, 15045, 16, 5938, 5076, 7072, 39152, 346, 11381, 1341, 977, 309, 17911, 9, 4803, 33028, 18, 2112, 978, 26548, 17981, 34858, 1452, 387, 16788, 20321, 290, 7446, 11381, 334, 49104, 17249, 10811, 18, 14069, 1453, 282, 4542, 9954, 1952, 3674, 302, 12978, 1251, 22974, 3334, 44795, 16, 6447, 876, 7923, 411, 12785, 44020, 289, 6043, 3317, 2407, 34791, 18, 824, 37980, 8309, 334, 6619, 12219, 41535, 9835, 478, 41469, 6960, 910, 478, 1009, 355, 15599, 910, 478, 7530, 4031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3471, 1815, 43374, 6886, 11125, 282, 478, 7701, 707, 4150, 5534, 5348, 289, 12373, 6454, 470, 289, 30049, 478, 399, 25186, 20614, 289, 16293, 7541, 861, 6630, 271, 944, 26801, 29197, 8943, 6958, 2110, 13294, 285, 16, 2733, 2175, 16, 3226, 9367, 466, 560, 1812, 309, 8011, 12137, 16, 2944, 6924, 388, 343, 6379, 289, 3337, 1378, 13294, 2922, 48976, 16, 367, 502, 289, 22647, 18, 11568, 623, 1489, 16, 2091, 16, 912, 16, 515, 697, 322, 453, 1269, 16, 428, 3813, 373, 18, 640, 4432, 16, 2686, 16, 5823, 475, 518, 575, 30, 478, 35959, 32830, 1701, 1637, 470, 39064, 2327, 277, 2347, 718, 282, 26529, 1857, 35803, 5120, 36338, 16, 31239, 46050, 1311, 12869, 10483, 3384, 31993, 16714, 44721, 872, 30058, 290, 38105, 8191, 282, 40883, 7823, 378, 2851, 435, 38438, 42235, 18, 439, 1038, 33721, 9001, 28013, 22403, 1624, 14818, 18879, 1155, 831, 18642, 2402, 265, 17, 5983, 2169, 16, 4011, 20847, 1014, 411, 31697, 21368, 670, 2964, 818, 3158, 40101, 382, 289, 12955, 382, 18, 8276, 3286, 6832, 4223, 3885, 15119, 16, 1029, 7291, 478, 43090, 17, 791, 24174, 861, 3759, 16438, 1810, 2567, 8460, 12152, 7541, 16, 428, 4944, 22715, 1262, 22009, 1624, 6370, 16420, 967, 1798, 289, 15626, 2327, 277, 2347, 778, 18, 3863, 13549, 16, 11705, 3359, 29307, 24376, 13103, 14943, 17958, 47630, 478, 4441, 639, 8599, 16, 1055, 322, 31362, 18, 23440, 29433, 18372, 470, 381, 34325, 16190, 5054, 282, 2849, 349, 793, 16, 40967, 4277, 366, 14956, 19736, 16, 2242, 671, 589, 42044, 5689, 18540, 18, 1787, 17958, 47630, 1574, 32530, 4362, 16, 3057, 16, 10494, 16, 1029, 2180, 40677, 4557, 3064, 15469, 268, 473, 21639, 451, 16, 34014, 16, 19833, 13, 282, 5118, 477, 2200, 42155, 36683, 17582, 18, 824, 43765, 2820, 5065, 575, 4119, 282, 4599, 19476, 411, 12466, 16480, 289, 583, 478, 31368, 894, 910, 31769, 541, 1129, 322, 28160, 336, 979, 2223, 16, 367, 2283, 4963, 49130, 434, 6780, 16, 19354, 25058, 14471, 289, 5210, 5776, 32968, 553, 12152, 7541, 18, 365, 502, 808, 428, 541, 19655, 289, 11806, 16201, 7541, 2881, 3655, 5075, 16, 2019, 5171, 349, 20241, 8448, 1437, 478, 285, 823, 3589, 17, 28845, 375, 1144, 539, 470, 289, 478, 2460, 2837, 17, 297, 10829, 2837, 861, 4320, 575, 975, 6110, 10030, 282, 4301, 25455, 478, 14845, 11403, 18168, 470, 289, 478, 267, 40294, 3445, 668, 14261, 861, 2, 1, 87, 1456, 81, 2448, 30, 4670, 885, 318, 9353, 758, 1488, 411, 1760, 5120, 14100, 1101, 290, 8597, 416, 7446, 15453, 2449, 3314, 7438, 309, 7512, 48657, 3763, 2791, 16, 282, 970, 2875, 11350, 17, 16795, 33695, 15970, 17, 18876, 434, 25555, 8747, 473, 563, 1295, 5607, 13, 4534, 16095, 31703, 1388, 18, 365, 9251, 10145, 22907, 10970, 394, 16, 36560, 289, 29966, 1157, 18, 4824, 411, 17627, 4486, 16, 22974, 457, 897, 14494, 6190, 4790, 36786, 17981, 9715, 22866, 409, 36230, 519, 4319, 1326, 309, 21431, 289, 28809, 282, 21487, 31692, 18, 31224, 30, 46326, 282, 10882, 7276, 4653, 46518, 10954, 332, 44462, 266, 334, 6619, 8907, 5540, 3280, 434, 15948, 473, 630, 18819, 934, 1541, 1352, 411, 6814, 17981, 1624, 13587, 289, 42877, 510, 453, 24941, 478, 6838, 700, 10970, 483, 861, 7743, 4502, 4688, 282, 3178, 10504, 4776, 424, 8624, 1518, 20256, 15803, 727, 2157, 1624, 1029, 349, 481, 808, 5354, 1038, 13079, 1743, 29530, 1764, 7271, 3340, 289, 1852, 46984, 304, 43788, 267, 795, 18, 999, 409, 2478, 334, 6619, 15143, 282, 48490, 9484, 30, 428, 27250, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 43788, 267, 795, 7956, 608, 507, 15360, 1624, 2650, 23527, 282, 1551, 281, 5507, 14770, 478, 409, 4516, 315, 861, 640, 11796, 1919, 26900, 9522, 8926, 1760, 1135, 16, 961, 16, 5938, 10180, 2116, 1147, 33260, 16, 28647, 9884, 2853, 289, 26450, 414, 11588, 309, 7512, 48657, 3763, 2791, 18, 365, 9251, 10145, 16, 1586, 906, 15622, 282, 5895, 1045, 16, 9311, 5037, 2241, 478, 1605, 2499, 15, 470, 9810, 688, 31500, 712, 1624, 505, 7653, 13877, 27476, 451, 9715, 2151, 507, 1615, 16, 1029, 38609, 937, 6807, 20171, 281, 11998, 758, 17456, 16, 4211, 6328, 4944, 9963, 399, 4083, 778, 16, 18935, 10462, 313, 1285, 16, 6096, 6111, 609, 16, 12189, 7024, 478, 25974, 320, 13728, 10305, 470, 12975, 6072, 1484, 11081, 312, 18, 19947, 273, 415, 18819, 23018, 1441, 726, 24671, 8811, 17329, 6431, 30, 22974, 15970, 17, 18876, 434, 25555, 8747, 473, 563, 1295, 5607, 13, 10208, 16095, 31703, 1388, 16, 22974, 457, 897, 14494, 6190, 4790, 36786, 17981, 9715, 22866, 409, 36230, 1624, 26548, 334, 7117, 13842, 9942, 1335, 575, 17981, 8973, 10602, 1452, 16, 7996, 816, 17, 295, 18622, 17, 45486, 328, 416, 2095, 473, 37445, 1659, 13, 608, 5246, 334, 385, 1295, 5607, 4210, 13463, 375, 16, 7996, 430, 17, 295, 34937, 1659, 924, 575, 8747, 4210, 9057, 296, 6399, 16, 5654, 1947, 9539, 12785, 44020, 4137, 23263, 46083, 16, 10121, 30110, 2169, 1624, 6096, 3138, 286, 933, 16, 367, 1038, 29966, 1157, 430, 17, 295, 34937, 1659, 6070, 46424, 289, 4944, 10051, 609, 18, 49262, 4776, 2158, 529, 7618, 1188, 18900, 475, 16, 3235, 22866, 409, 330, 324, 30, 11350, 17, 16795, 33695, 21396, 289, 25660, 1463, 282, 26962, 10256, 2557, 18, 6592, 30298, 1101, 16, 8811, 6660, 334, 8384, 281, 3701, 982, 8150, 353, 608, 5246, 15970, 17, 18876, 434, 8747, 10208, 473, 31562, 1135, 16, 6895, 1949, 2076, 39654, 837, 15099, 13, 35085, 9835, 334, 26341, 30763, 27822, 289, 3012, 1166, 4371, 290, 1129, 282, 457, 897, 375, 2127, 36909, 16, 1586, 25760, 6406, 11923, 11244, 334, 43715, 6822, 8739, 277, 18, 4541, 15453, 328, 766, 334, 49833, 24979, 22866, 409, 330, 324, 43978, 309, 6380, 7024, 478, 1605, 2499, 15, 910, 30694, 4026, 291, 5540, 371, 3266, 1212, 4328, 476, 15046, 11244, 473, 13929, 34791, 814, 5890, 1122, 12189, 6072, 1484, 11081, 312, 21889, 15045, 16, 5938, 5076, 7072, 39152, 346, 11381, 1341, 977, 309, 17911, 9, 4803, 33028, 18, 2112, 978, 26548, 17981, 34858, 1452, 387, 16788, 20321, 290, 7446, 11381, 334, 49104, 17249, 10811, 18, 14069, 1453, 282, 4542, 9954, 1952, 3674, 302, 12978, 1251, 22974, 3334, 44795, 16, 6447, 876, 7923, 411, 12785, 44020, 289, 6043, 3317, 2407, 34791, 18, 824, 37980, 8309, 334, 6619, 12219, 41535, 9835, 478, 41469, 6960, 910, 478, 1009, 355, 15599, 910, 478, 7530, 4031 ]
[ 3056, 289, 2926, 910, 478, 24659, 17, 25664, 948, 470, 289, 478, 677, 26848, 861, 48340, 427, 26900, 12418, 898, 11103, 2626, 334, 422, 18, 36675, 473, 11619, 4504, 3280, 434, 15948, 934, 327, 18, 1032, 422, 18, 50024, 473, 1024, 1235, 16253, 16, 43221, 36958, 14120, 934, 422, 18, 4039, 26, 473, 8108, 560, 1979, 28485, 19750, 13, 289, 422, 18, 2555, 23, 473, 12515, 440, 16075, 20481, 13, 11828, 2407, 18, 1591, 808, 43025, 687, 1293, 26900, 9522, 16, 282, 5344, 29966, 1157, 12785, 44020, 16, 12860, 25262, 1423, 16789, 18, 7699, 5120, 28328, 1101, 16, 282, 970, 2875, 26548, 34858, 1452, 16, 4521, 17245, 10919, 17187, 1188, 15709, 23264, 18, 1598, 17, 431, 8214, 7619, 26900, 9522, 289, 16967, 3280, 432, 43194, 935, 22222, 47004, 2585, 1694, 2056, 435, 1293, 3139, 16, 15709, 13402, 17674, 8055, 309, 32627, 6528, 290, 970, 16, 14785, 318, 520, 26900, 11359, 294, 2219, 954, 17209, 289, 6830, 324, 520, 697, 8935, 18, 2231, 263, 10732, 6655, 2873, 2364, 5544, 3139, 18, 365, 6031, 9353, 758, 25262, 687, 1488, 26900, 9522, 411, 1760, 18, 1303, 9353, 448, 16, 334, 4734, 46518, 16, 49552, 3585, 29317, 2981, 18, 365, 4810, 16, 7276, 4653, 36413, 30143, 42877, 39741, 766, 401, 16, 10462, 1744, 343, 16, 381, 599, 3899, 1275, 3138, 286, 933, 289, 23263, 1042, 1043, 1624, 37682, 34858, 4086, 16, 24979, 31703, 7408, 1624, 27476, 434, 2151, 507, 8047, 16, 29966, 837, 9057, 296, 25080, 18, 985, 38349, 5854, 43788, 267, 795, 608, 507, 15360, 16, 19668, 26900, 9522, 6655, 2873, 5828, 3616, 3118, 16, 367, 764, 40888, 510, 349, 1565, 28277, 363, 1330, 697, 9353, 617, 282, 584, 24145, 2168, 20728, 41939, 18, 21203, 5828, 17900, 41294, 282, 6900, 5129, 18, 36487, 13377, 16959, 44462, 354, 43569, 309, 1409, 4209, 18, 985, 19988, 16, 282, 1177, 1119, 24030, 10159, 341, 10286, 12851, 541, 17627, 4486, 16, 1011, 1660, 16044, 40904, 375, 5280, 847, 309, 10954, 468, 31862, 18, 2, 1, 87, 1456, 81, 2448, 30, 40736, 2042, 778, 18351, 478, 47963, 1018, 17, 21, 470, 37759, 28504, 25688, 2467, 282, 20011, 45955, 8014, 300, 1728, 46827, 349, 5318, 294, 5648, 2078, 15148, 1792, 16, 349, 374, 685, 4434, 286, 4935, 7771, 23519, 282, 10104, 2739, 289, 20701, 2530, 8475, 11686, 282, 14887, 17757, 20241, 18, 11537, 4961, 685, 11189, 24043, 3059, 289, 49455, 18, 31224, 30, 1659, 1254, 10752, 40886, 14007, 478, 47963, 1018, 17, 21, 470, 3909, 354, 6147, 37759, 28504, 25688, 2467, 49252, 4434, 6710, 282, 10104, 2739, 334, 8823, 294, 5067, 1003, 12072, 4669, 37667, 18, 29609, 294, 21178, 6795, 8253, 277, 40465, 5626, 16, 15762, 3732, 7305, 8988, 282, 8752, 5324, 15797, 18, 640, 14569, 547, 5703, 582, 2518, 19528, 282, 2511, 7264, 37759, 5073, 15133, 3878, 2641, 289, 34952, 30, 478, 672, 11591, 1314, 417, 939, 14370, 286, 18, 28305, 309, 4158, 46827, 861, 365, 6567, 298, 10012, 8339, 986, 6566, 16, 35079, 282, 3938, 4139, 8259, 16797, 265, 289, 13152, 29399, 10977, 49707, 16637, 6123, 18, 478, 16676, 694, 2283, 8371, 8259, 34356, 35, 1575, 505, 3619, 309, 30919, 35, 3654, 694, 8409, 309, 30919, 8259, 34356, 35, 9591, 4921, 322, 21309, 5648, 512, 15148, 1792, 24450, 510, 28198, 1609, 37759, 16, 367, 41246, 282, 1078, 687, 30928, 18, 34257, 1975, 559, 49815, 18, 12796, 11, 7350, 12803, 18518, 407, 5598, 593, 544, 10537, 87, 723, 31738, 18, 32767, 18, 3758, 19, 74, 13299, 77, 36772, 51, 62, 24426, 7699, 49270, 5841, 7336, 40379, 505, 19174, 1433, 1195, 35359, 8947, 4118, 23057, 289, 4732, 5860, 1855, 2159, 40632, 867, 16, 374, 11471, 322, 5695, 1382, 1147, 7281, 3051, 5648, 512, 3775, 541, 37904, 894, 427, 18, 28504, 25688, 2467, 1373, 575, 5280, 364, 1595, 3059, 16, 515, 639, 726, 6774, 510, 21215, 15797, 10469, 8969, 478, 635, 8764, 766, 470, 289, 37792, 505, 309, 1634, 19616, 18, 528, 2325, 448, 10936, 15681, 21891, 281, 40861, 12494, 18, 478, 730, 3778, 17304, 1139, 17, 47232, 12950, 5, 996, 829, 6616, 975, 29043, 505, 8429, 749, 17409, 7046, 4447, 8347, 3343, 16, 510, 19539, 17656, 281, 537, 635, 1059, 1913, 73, 33616, 18, 510, 2465, 475, 3066, 16, 4700, 22710, 11531, 1812, 37759, 16, 515, 492, 322, 17205, 26003, 2802, 1676, 4282, 349, 502, 16, 374, 975, 374, 17, 299, 5550, 670, 492, 1660, 17, 299, 3957, 18, 8276, 14517, 502, 16, 374, 28504, 25688, 2467, 1623, 541, 3725, 1375, 353, 620, 289, 4272, 17002, 309, 1047, 281, 16841, 289, 9695, 9125, 861, 21930, 16, 5870, 505, 3059, 329, 1699, 10669, 42154, 16, 18351, 478, 32959, 10066, 12275, 470, 5962, 3003, 26003, 49455, 18, 478, 46366, 417, 11347, 281, 13796, 2409, 289, 27530, 16, 374, 3534, 1694, 898, 30092, 42318, 16, 2391, 417, 5280, 364, 1500, 3059, 18, 629, 322, 2963, 5726, 39110, 670, 8888, 649, 18, 629, 6317, 16, 374, 2218, 41246, 895, 12993, 47507, 965, 453, 16, 428, 492, 3957, 16, 289, 656, 475, 2125, 481, 2240, 910, 510, 6463, 3909, 354, 6147, 18, 18592, 5747, 492, 32337, 16, 374, 7766, 13475, 4973, 349, 2159, 9704, 16, 33160, 30, 478, 1358, 4560, 16, 374, 481, 2826, 39432, 262, 510, 40122, 2616, 17, 299, 349, 36702, 382, 670, 31127, 5338, 2394, 597, 28221, 3899, 18, 832, 16053, 16, 1085, 694, 289, 4723, 694, 18, 629, 1494, 31725, 289, 4425, 3797, 1209, 16, 1085, 7118, 453, 16, 428, 773, 5550, 16, 289, 10899, 16, 374, 703, 2638, 530, 349, 481, 1565, 8845, 12218, 861, 907, 3970, 31915, 4240, 596, 10549, 593, 9918, 4456, 27614, 3620, 12705, 2336, 3520, 1112, 20666, 4899, 544, 2721, 654, 907, 752, 17875, 907, 5598, 1400, 1092, 75, 12508, 1092, 4023, 972, 2051, 2307, 596, 25418, 75, 6483, 18, 365, 11258, 17, 32008, 28504, 25688, 2467, 282, 9817, 779, 30956, 1595, 20933, 14007, 778, 16607, 478, 47963, 1018, 17, 21, 470, 282, 24087, 16, 381, 14221, 334, 2856, 3286, 10091, 1728, 1375, 3905, 7070, 269, 5097, 13407, 392, 16, 282, 2159, 808, 45662, 2822, 1421, 14007, 624, 18, 4756, 6566, 670, 1033, 10553, 1388, 1038, 14985, 9422, 40524, 1520, 1159, 12859, 5123, 28327, 599, 623, 36317, 1711, 262, 16, 4657, 272, 28087, 272, 1483, 1100, 289, 35438, 5306, 4682, 599, 623, 1034, 1000, 292, 4276, 289, 25302, 4231, 392, 43549, 10091, 18, 12167, 289, 282, 803, 11258, 12076, 28504, 25688, 28376, 28747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3056, 289, 2926, 910, 478, 24659, 17, 25664, 948, 470, 289, 478, 677, 26848, 861, 48340, 427, 26900, 12418, 898, 11103, 2626, 334, 422, 18, 36675, 473, 11619, 4504, 3280, 434, 15948, 934, 327, 18, 1032, 422, 18, 50024, 473, 1024, 1235, 16253, 16, 43221, 36958, 14120, 934, 422, 18, 4039, 26, 473, 8108, 560, 1979, 28485, 19750, 13, 289, 422, 18, 2555, 23, 473, 12515, 440, 16075, 20481, 13, 11828, 2407, 18, 1591, 808, 43025, 687, 1293, 26900, 9522, 16, 282, 5344, 29966, 1157, 12785, 44020, 16, 12860, 25262, 1423, 16789, 18, 7699, 5120, 28328, 1101, 16, 282, 970, 2875, 26548, 34858, 1452, 16, 4521, 17245, 10919, 17187, 1188, 15709, 23264, 18, 1598, 17, 431, 8214, 7619, 26900, 9522, 289, 16967, 3280, 432, 43194, 935, 22222, 47004, 2585, 1694, 2056, 435, 1293, 3139, 16, 15709, 13402, 17674, 8055, 309, 32627, 6528, 290, 970, 16, 14785, 318, 520, 26900, 11359, 294, 2219, 954, 17209, 289, 6830, 324, 520, 697, 8935, 18, 2231, 263, 10732, 6655, 2873, 2364, 5544, 3139, 18, 365, 6031, 9353, 758, 25262, 687, 1488, 26900, 9522, 411, 1760, 18, 1303, 9353, 448, 16, 334, 4734, 46518, 16, 49552, 3585, 29317, 2981, 18, 365, 4810, 16, 7276, 4653, 36413, 30143, 42877, 39741, 766, 401, 16, 10462, 1744, 343, 16, 381, 599, 3899, 1275, 3138, 286, 933, 289, 23263, 1042, 1043, 1624, 37682, 34858, 4086, 16, 24979, 31703, 7408, 1624, 27476, 434, 2151, 507, 8047, 16, 29966, 837, 9057, 296, 25080, 18, 985, 38349, 5854, 43788, 267, 795, 608, 507, 15360, 16, 19668, 26900, 9522, 6655, 2873, 5828, 3616, 3118, 16, 367, 764, 40888, 510, 349, 1565, 28277, 363, 1330, 697, 9353, 617, 282, 584, 24145, 2168, 20728, 41939, 18, 21203, 5828, 17900, 41294, 282, 6900, 5129, 18, 36487, 13377, 16959, 44462, 354, 43569, 309, 1409, 4209, 18, 985, 19988, 16, 282, 1177, 1119, 24030, 10159, 341, 10286, 12851, 541, 17627, 4486, 16, 1011, 1660, 16044, 40904, 375, 5280, 847, 309, 10954, 468, 31862, 18, 2, 1, 87, 1456, 81, 2448, 30, 40736, 2042, 778, 18351, 478, 47963, 1018, 17, 21, 470, 37759, 28504, 25688, 2467, 282, 20011, 45955, 8014, 300, 1728, 46827, 349, 5318, 294, 5648, 2078, 15148, 1792, 16, 349, 374, 685, 4434, 286, 4935, 7771, 23519, 282, 10104, 2739, 289, 20701, 2530, 8475, 11686, 282, 14887, 17757, 20241, 18, 11537, 4961, 685, 11189, 24043, 3059, 289, 49455, 18, 31224, 30, 1659, 1254, 10752, 40886, 14007, 478, 47963, 1018, 17, 21, 470, 3909, 354, 6147, 37759, 28504, 25688, 2467, 49252, 4434, 6710, 282, 10104, 2739, 334, 8823, 294, 5067, 1003, 12072, 4669, 37667, 18, 29609, 294, 21178, 6795, 8253, 277, 40465, 5626, 16, 15762, 3732, 7305, 8988, 282, 8752, 5324, 15797, 18, 640, 14569, 547, 5703, 582, 2518, 19528, 282, 2511, 7264, 37759, 5073, 15133, 3878, 2641, 289, 34952, 30, 478, 672, 11591, 1314, 417, 939, 14370, 286, 18, 28305, 309, 4158, 46827, 861, 365, 6567, 298, 10012, 8339, 986, 6566, 16, 35079, 282, 3938, 4139, 8259, 16797, 265, 289, 13152, 29399, 10977, 49707, 16637, 6123, 18, 478, 16676, 694, 2283, 8371, 8259, 34356, 35, 1575, 505, 3619, 309, 30919, 35, 3654, 694, 8409, 309, 30919, 8259, 34356, 35, 9591, 4921, 322, 21309, 5648, 512, 15148, 1792, 24450, 510, 28198, 1609, 37759, 16, 367, 41246, 282, 1078, 687, 30928, 18, 34257, 1975, 559, 49815, 18, 12796, 11, 7350, 12803, 18518, 407, 5598, 593, 544, 10537, 87, 723, 31738, 18, 32767, 18, 3758, 19, 74, 13299, 77, 36772, 51, 62, 24426, 7699, 49270, 5841, 7336, 40379, 505, 19174, 1433, 1195, 35359, 8947, 4118, 23057, 289, 4732, 5860, 1855, 2159, 40632, 867, 16, 374, 11471, 322, 5695, 1382, 1147, 7281, 3051, 5648, 512, 3775, 541, 37904, 894, 427, 18, 28504, 25688, 2467, 1373, 575, 5280, 364, 1595, 3059, 16, 515, 639, 726, 6774, 510, 21215, 15797, 10469, 8969, 478, 635, 8764, 766, 470, 289, 37792, 505, 309, 1634, 19616, 18, 528, 2325, 448, 10936, 15681, 21891, 281, 40861, 12494, 18, 478, 730, 3778, 17304, 1139, 17, 47232, 12950, 5, 996, 829, 6616, 975, 29043, 505, 8429, 749, 17409, 7046, 4447, 8347, 3343, 16, 510, 19539, 17656, 281, 537, 635, 1059, 1913, 73, 33616, 18, 510, 2465, 475, 3066, 16, 4700, 22710, 11531, 1812, 37759, 16, 515, 492, 322, 17205, 26003, 2802, 1676, 4282, 349, 502, 16, 374, 975, 374, 17, 299, 5550, 670, 492, 1660, 17, 299, 3957, 18, 8276, 14517, 502, 16, 374, 28504, 25688, 2467, 1623, 541, 3725, 1375, 353, 620, 289, 4272, 17002, 309, 1047, 281, 16841, 289, 9695, 9125, 861, 21930, 16, 5870, 505, 3059, 329, 1699, 10669, 42154, 16, 18351, 478, 32959, 10066, 12275, 470, 5962, 3003, 26003, 49455, 18, 478, 46366, 417, 11347, 281, 13796, 2409, 289, 27530, 16, 374, 3534, 1694, 898, 30092, 42318, 16, 2391, 417, 5280, 364, 1500, 3059, 18, 629, 322, 2963, 5726, 39110, 670, 8888, 649, 18, 629, 6317, 16, 374, 2218, 41246, 895, 12993, 47507, 965, 453, 16, 428, 492, 3957, 16, 289, 656, 475, 2125, 481, 2240, 910, 510, 6463, 3909, 354, 6147, 18, 18592, 5747, 492, 32337, 16, 374, 7766, 13475, 4973, 349, 2159, 9704, 16, 33160, 30, 478, 1358, 4560, 16, 374, 481, 2826, 39432, 262, 510, 40122, 2616, 17, 299, 349, 36702, 382, 670, 31127, 5338, 2394, 597, 28221, 3899, 18, 832, 16053, 16, 1085, 694, 289, 4723, 694, 18, 629, 1494, 31725, 289, 4425, 3797, 1209, 16, 1085, 7118, 453, 16, 428, 773, 5550, 16, 289, 10899, 16, 374, 703, 2638, 530, 349, 481, 1565, 8845, 12218, 861, 907, 3970, 31915, 4240, 596, 10549, 593, 9918, 4456, 27614, 3620, 12705, 2336, 3520, 1112, 20666, 4899, 544, 2721, 654, 907, 752, 17875, 907, 5598, 1400, 1092, 75, 12508, 1092, 4023, 972, 2051, 2307, 596, 25418, 75, 6483, 18, 365, 11258, 17, 32008, 28504, 25688, 2467, 282, 9817, 779, 30956, 1595, 20933, 14007, 778, 16607, 478, 47963, 1018, 17, 21, 470, 282, 24087, 16, 381, 14221, 334, 2856, 3286, 10091, 1728, 1375, 3905, 7070, 269, 5097, 13407, 392, 16, 282, 2159, 808, 45662, 2822, 1421, 14007, 624, 18, 4756, 6566, 670, 1033, 10553, 1388, 1038, 14985, 9422, 40524, 1520, 1159, 12859, 5123, 28327, 599, 623, 36317, 1711, 262, 16, 4657, 272, 28087, 272, 1483, 1100, 289, 35438, 5306, 4682, 599, 623, 1034, 1000, 292, 4276, 289, 25302, 4231, 392, 43549, 10091, 18, 12167, 289, 282, 803, 11258, 12076, 28504, 25688, 28376, 28747 ]
[ 46339, 309, 23934, 40704, 22439, 6484, 476, 478, 45652, 287, 312, 470, 1624, 2686, 3909, 354, 6147, 40393, 2199, 8984, 34931, 289, 10587, 27714, 13437, 282, 5690, 34042, 18, 365, 6031, 349, 1272, 16423, 519, 3915, 7561, 975, 5121, 2702, 22607, 460, 1519, 309, 43660, 496, 2468, 282, 16130, 17, 960, 40997, 16, 753, 39225, 29734, 4368, 8955, 18, 31057, 662, 1195, 7739, 2409, 26844, 12151, 12994, 18, 2949, 924, 16, 334, 8872, 46075, 8900, 28504, 25688, 2467, 4223, 309, 11464, 1756, 282, 3182, 334, 20919, 2566, 309, 33673, 16130, 17, 960, 510, 329, 1047, 697, 20197, 18, 640, 4056, 1718, 4762, 334, 17, 6093, 3164, 17659, 451, 1034, 1000, 42869, 510, 309, 505, 14540, 29523, 16410, 18, 824, 34838, 8900, 28504, 25688, 2467, 9473, 11211, 16, 374, 475, 5683, 16, 428, 32872, 30, 478, 4441, 685, 45129, 9518, 16, 515, 322, 34767, 18, 16494, 942, 9422, 19831, 18, 629, 17060, 10384, 5841, 368, 16, 367, 2218, 6357, 334, 478, 32959, 35380, 272, 470, 5484, 266, 1049, 34788, 354, 267, 510, 1421, 16, 515, 282, 11258, 1939, 16130, 17, 960, 16, 289, 282, 46848, 1381, 20850, 475, 18, 1397, 5327, 703, 510, 417, 1559, 4703, 1882, 18653, 1086, 289, 20201, 968, 11503, 965, 349, 23010, 9716, 4621, 16, 453, 374, 417, 757, 282, 8698, 4996, 3836, 722, 18014, 910, 510, 7332, 1694, 7211, 613, 3781, 17, 9952, 4966, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 4347, 15744, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 21695, 3832, 549, 20925, 25359, 334, 40730, 38552, 8616, 19992, 282, 23376, 7561, 2422, 282, 3495, 1832, 576, 289, 48959, 1190, 14015, 1678, 25206, 309, 13612, 282, 2842, 5785, 9044, 322, 11716, 1939, 986, 18, 29718, 288, 1505, 19650, 9032, 887, 50172, 14452, 2689, 4287, 16, 367, 3771, 4424, 349, 7109, 986, 8824, 349, 13952, 12112, 49164, 455, 18, 31224, 30, 677, 3495, 1832, 576, 31089, 13323, 17, 295, 282, 3182, 10514, 451, 16628, 2422, 334, 40730, 18, 457, 1306, 271, 4424, 349, 2846, 779, 289, 2123, 17, 295, 445, 282, 3182, 45287, 7342, 25359, 16, 1586, 45300, 332, 8616, 19992, 473, 23, 30, 21, 814, 1591, 7422, 29235, 1963, 41173, 23952, 758, 15277, 11569, 651, 2401, 9528, 47869, 2221, 12653, 636, 329, 478, 684, 637, 1385, 19771, 470, 289, 10648, 25795, 320, 271, 13278, 329, 478, 789, 10752, 35517, 861, 26808, 46380, 2948, 3085, 13910, 12208, 519, 5462, 382, 30, 2566, 451, 774, 309, 19670, 17, 295, 20537, 28773, 1190, 282, 2695, 9266, 3327, 385, 1520, 3418, 5039, 16, 367, 1248, 4016, 7264, 1761, 9300, 503, 2467, 1146, 364, 2792, 1891, 17847, 3314, 13328, 291, 18, 8413, 3050, 2117, 2756, 4056, 309, 19843, 16, 12699, 4028, 11028, 12921, 668, 34566, 309, 14597, 478, 684, 1497, 2817, 273, 17, 9782, 470, 510, 2123, 1061, 8400, 15364, 18, 640, 1209, 7842, 38369, 16, 282, 970, 2875, 281, 12070, 7342, 2145, 16, 41445, 16039, 16222, 272, 10479, 18, 365, 11099, 282, 6900, 2338, 1374, 334, 5953, 5041, 20154, 16452, 274, 651, 481, 2903, 1712, 43415, 5384, 541, 421, 1659, 780, 282, 12654, 12903, 281, 6982, 779, 18, 478, 13571, 4319, 1326, 322, 2447, 12022, 282, 47023, 16, 510, 2815, 11175, 21451, 385, 1520, 3418, 5039, 16, 5076, 1248, 1272, 2299, 2417, 9496, 1939, 986, 18, 651, 640, 2456, 2463, 329, 703, 1003, 1280, 18, 889, 374, 17, 299, 10779, 3878, 651, 20850, 1574, 20665, 541, 1209, 22244, 1275, 16, 961, 349, 813, 2079, 538, 861, 640, 566, 742, 8182, 22244, 1275, 27127, 742, 12653, 34671, 277, 282, 3177, 10936, 5216, 8344, 4725, 385, 1520, 10057, 798, 16, 2024, 519, 978, 7977, 6745, 334, 8698, 2095, 687, 8876, 9839, 14210, 718, 16452, 274, 18, 478, 24686, 2915, 7387, 2117, 16, 867, 1882, 11157, 2874, 9456, 289, 867, 3893, 968, 656, 25509, 309, 27027, 16, 510, 4725, 492, 18, 651, 13268, 2438, 6218, 16, 374, 329, 9266, 8367, 16, 428, 5130, 16, 16059, 18, 2876, 417, 17463, 505, 428, 942, 1143, 18, 14069, 1323, 939, 1904, 4271, 824, 8872, 421, 1659, 780, 906, 9467, 8087, 14560, 3384, 20925, 18, 14155, 349, 1269, 986, 21446, 749, 40203, 26062, 282, 1710, 322, 9311, 16, 367, 3118, 2452, 8471, 453, 30, 47487, 8937, 6470, 566, 29499, 473, 1464, 546, 783, 16, 2287, 40259, 1378, 15277, 296, 282, 10096, 16702, 5102, 44380, 5351, 32512, 450, 6599, 473, 1464, 546, 783, 16, 2239, 15, 26, 12994, 934, 13224, 271, 25610, 473, 684, 2334, 347, 5102, 13403, 1733, 9126, 440, 10476, 572, 4261, 21042, 473, 26404, 934, 8937, 999, 3486, 473, 1659, 1521, 746, 934, 3874, 17098, 4377, 435, 2774, 473, 26404, 814, 6735, 1757, 28067, 14452, 14449, 10476, 572, 4261, 21042, 16, 48253, 1510, 12968, 269, 2127, 5841, 454, 281, 2287, 473, 24, 15, 27, 13, 46414, 282, 10096, 4636, 25185, 18, 1787, 24507, 16, 3818, 1619, 12310, 411, 3338, 1559, 35053, 2839, 3284, 651, 1488, 473, 25, 15, 23, 814, 478, 4348, 322, 2410, 478, 513, 15850, 470, 334, 5083, 16718, 24055, 3314, 25592, 16, 510, 4848, 653, 2362, 7225, 17793, 25610, 18, 651, 14438, 4836, 16, 374, 34447, 18, 3923, 16, 3813, 373, 1830, 373, 374, 17, 299, 411, 978, 41701, 16, 515, 282, 15614, 20545, 481, 726, 322, 2397, 7713, 18, 8269, 16, 8120, 3662, 9792, 282, 970, 16, 374, 656, 6259, 2853, 702, 6527, 18, 632, 2251, 16, 374, 935, 827, 322, 34419, 2159, 16432, 2654, 1314, 16, 502, 475, 3066, 12226, 36009, 32737, 2734, 5747, 18, 640, 4884, 5066, 6110, 8714, 7026, 651, 7072, 21440, 1734, 282, 23376, 11222, 15420, 43233, 18, 3747, 656, 424, 2033, 414, 16, 2091, 18, 4777, 322, 7187, 41463, 4511, 3162, 7080, 282, 290, 551, 6189, 277, 861, 365, 19356, 13328, 291, 16, 428, 7239, 3111, 282, 2567, 6160, 16, 10951, 326, 12123, 45554, 8095, 448, 16849, 18, 478, 6207, 2260, 4287, 1194, 977, 28610, 14264, 783, 16, 745, 24366, 8462, 668, 22447, 309, 19574, 16, 10887, 7894, 334, 10020, 16, 510, 23081, 33543, 360, 6740, 40259, 2198, 37253, 2067, 872, 6470, 566, 29499, 18, 651, 1345, 11163, 5740, 978, 10431, 16, 289, 492, 18946, 46234, 2820, 282, 3300, 18, 832, 2060, 16, 428, 373, 417, 757, 11453, 2153, 282, 803, 10390, 7774, 861, 824, 4734, 28253, 7342, 19992, 11090, 345, 586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46339, 309, 23934, 40704, 22439, 6484, 476, 478, 45652, 287, 312, 470, 1624, 2686, 3909, 354, 6147, 40393, 2199, 8984, 34931, 289, 10587, 27714, 13437, 282, 5690, 34042, 18, 365, 6031, 349, 1272, 16423, 519, 3915, 7561, 975, 5121, 2702, 22607, 460, 1519, 309, 43660, 496, 2468, 282, 16130, 17, 960, 40997, 16, 753, 39225, 29734, 4368, 8955, 18, 31057, 662, 1195, 7739, 2409, 26844, 12151, 12994, 18, 2949, 924, 16, 334, 8872, 46075, 8900, 28504, 25688, 2467, 4223, 309, 11464, 1756, 282, 3182, 334, 20919, 2566, 309, 33673, 16130, 17, 960, 510, 329, 1047, 697, 20197, 18, 640, 4056, 1718, 4762, 334, 17, 6093, 3164, 17659, 451, 1034, 1000, 42869, 510, 309, 505, 14540, 29523, 16410, 18, 824, 34838, 8900, 28504, 25688, 2467, 9473, 11211, 16, 374, 475, 5683, 16, 428, 32872, 30, 478, 4441, 685, 45129, 9518, 16, 515, 322, 34767, 18, 16494, 942, 9422, 19831, 18, 629, 17060, 10384, 5841, 368, 16, 367, 2218, 6357, 334, 478, 32959, 35380, 272, 470, 5484, 266, 1049, 34788, 354, 267, 510, 1421, 16, 515, 282, 11258, 1939, 16130, 17, 960, 16, 289, 282, 46848, 1381, 20850, 475, 18, 1397, 5327, 703, 510, 417, 1559, 4703, 1882, 18653, 1086, 289, 20201, 968, 11503, 965, 349, 23010, 9716, 4621, 16, 453, 374, 417, 757, 282, 8698, 4996, 3836, 722, 18014, 910, 510, 7332, 1694, 7211, 613, 3781, 17, 9952, 4966, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 4347, 15744, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 21695, 3832, 549, 20925, 25359, 334, 40730, 38552, 8616, 19992, 282, 23376, 7561, 2422, 282, 3495, 1832, 576, 289, 48959, 1190, 14015, 1678, 25206, 309, 13612, 282, 2842, 5785, 9044, 322, 11716, 1939, 986, 18, 29718, 288, 1505, 19650, 9032, 887, 50172, 14452, 2689, 4287, 16, 367, 3771, 4424, 349, 7109, 986, 8824, 349, 13952, 12112, 49164, 455, 18, 31224, 30, 677, 3495, 1832, 576, 31089, 13323, 17, 295, 282, 3182, 10514, 451, 16628, 2422, 334, 40730, 18, 457, 1306, 271, 4424, 349, 2846, 779, 289, 2123, 17, 295, 445, 282, 3182, 45287, 7342, 25359, 16, 1586, 45300, 332, 8616, 19992, 473, 23, 30, 21, 814, 1591, 7422, 29235, 1963, 41173, 23952, 758, 15277, 11569, 651, 2401, 9528, 47869, 2221, 12653, 636, 329, 478, 684, 637, 1385, 19771, 470, 289, 10648, 25795, 320, 271, 13278, 329, 478, 789, 10752, 35517, 861, 26808, 46380, 2948, 3085, 13910, 12208, 519, 5462, 382, 30, 2566, 451, 774, 309, 19670, 17, 295, 20537, 28773, 1190, 282, 2695, 9266, 3327, 385, 1520, 3418, 5039, 16, 367, 1248, 4016, 7264, 1761, 9300, 503, 2467, 1146, 364, 2792, 1891, 17847, 3314, 13328, 291, 18, 8413, 3050, 2117, 2756, 4056, 309, 19843, 16, 12699, 4028, 11028, 12921, 668, 34566, 309, 14597, 478, 684, 1497, 2817, 273, 17, 9782, 470, 510, 2123, 1061, 8400, 15364, 18, 640, 1209, 7842, 38369, 16, 282, 970, 2875, 281, 12070, 7342, 2145, 16, 41445, 16039, 16222, 272, 10479, 18, 365, 11099, 282, 6900, 2338, 1374, 334, 5953, 5041, 20154, 16452, 274, 651, 481, 2903, 1712, 43415, 5384, 541, 421, 1659, 780, 282, 12654, 12903, 281, 6982, 779, 18, 478, 13571, 4319, 1326, 322, 2447, 12022, 282, 47023, 16, 510, 2815, 11175, 21451, 385, 1520, 3418, 5039, 16, 5076, 1248, 1272, 2299, 2417, 9496, 1939, 986, 18, 651, 640, 2456, 2463, 329, 703, 1003, 1280, 18, 889, 374, 17, 299, 10779, 3878, 651, 20850, 1574, 20665, 541, 1209, 22244, 1275, 16, 961, 349, 813, 2079, 538, 861, 640, 566, 742, 8182, 22244, 1275, 27127, 742, 12653, 34671, 277, 282, 3177, 10936, 5216, 8344, 4725, 385, 1520, 10057, 798, 16, 2024, 519, 978, 7977, 6745, 334, 8698, 2095, 687, 8876, 9839, 14210, 718, 16452, 274, 18, 478, 24686, 2915, 7387, 2117, 16, 867, 1882, 11157, 2874, 9456, 289, 867, 3893, 968, 656, 25509, 309, 27027, 16, 510, 4725, 492, 18, 651, 13268, 2438, 6218, 16, 374, 329, 9266, 8367, 16, 428, 5130, 16, 16059, 18, 2876, 417, 17463, 505, 428, 942, 1143, 18, 14069, 1323, 939, 1904, 4271, 824, 8872, 421, 1659, 780, 906, 9467, 8087, 14560, 3384, 20925, 18, 14155, 349, 1269, 986, 21446, 749, 40203, 26062, 282, 1710, 322, 9311, 16, 367, 3118, 2452, 8471, 453, 30, 47487, 8937, 6470, 566, 29499, 473, 1464, 546, 783, 16, 2287, 40259, 1378, 15277, 296, 282, 10096, 16702, 5102, 44380, 5351, 32512, 450, 6599, 473, 1464, 546, 783, 16, 2239, 15, 26, 12994, 934, 13224, 271, 25610, 473, 684, 2334, 347, 5102, 13403, 1733, 9126, 440, 10476, 572, 4261, 21042, 473, 26404, 934, 8937, 999, 3486, 473, 1659, 1521, 746, 934, 3874, 17098, 4377, 435, 2774, 473, 26404, 814, 6735, 1757, 28067, 14452, 14449, 10476, 572, 4261, 21042, 16, 48253, 1510, 12968, 269, 2127, 5841, 454, 281, 2287, 473, 24, 15, 27, 13, 46414, 282, 10096, 4636, 25185, 18, 1787, 24507, 16, 3818, 1619, 12310, 411, 3338, 1559, 35053, 2839, 3284, 651, 1488, 473, 25, 15, 23, 814, 478, 4348, 322, 2410, 478, 513, 15850, 470, 334, 5083, 16718, 24055, 3314, 25592, 16, 510, 4848, 653, 2362, 7225, 17793, 25610, 18, 651, 14438, 4836, 16, 374, 34447, 18, 3923, 16, 3813, 373, 1830, 373, 374, 17, 299, 411, 978, 41701, 16, 515, 282, 15614, 20545, 481, 726, 322, 2397, 7713, 18, 8269, 16, 8120, 3662, 9792, 282, 970, 16, 374, 656, 6259, 2853, 702, 6527, 18, 632, 2251, 16, 374, 935, 827, 322, 34419, 2159, 16432, 2654, 1314, 16, 502, 475, 3066, 12226, 36009, 32737, 2734, 5747, 18, 640, 4884, 5066, 6110, 8714, 7026, 651, 7072, 21440, 1734, 282, 23376, 11222, 15420, 43233, 18, 3747, 656, 424, 2033, 414, 16, 2091, 18, 4777, 322, 7187, 41463, 4511, 3162, 7080, 282, 290, 551, 6189, 277, 861, 365, 19356, 13328, 291, 16, 428, 7239, 3111, 282, 2567, 6160, 16, 10951, 326, 12123, 45554, 8095, 448, 16849, 18, 478, 6207, 2260, 4287, 1194, 977, 28610, 14264, 783, 16, 745, 24366, 8462, 668, 22447, 309, 19574, 16, 10887, 7894, 334, 10020, 16, 510, 23081, 33543, 360, 6740, 40259, 2198, 37253, 2067, 872, 6470, 566, 29499, 18, 651, 1345, 11163, 5740, 978, 10431, 16, 289, 492, 18946, 46234, 2820, 282, 3300, 18, 832, 2060, 16, 428, 373, 417, 757, 11453, 2153, 282, 803, 10390, 7774, 861, 824, 4734, 28253, 7342, 19992, 11090, 345, 586 ]
[ 696, 20605, 10616, 16, 492, 289, 505, 29591, 15762, 2602, 309, 3417, 5999, 478, 18229, 16, 475, 656, 9416, 6025, 5157, 979, 16, 510, 14403, 492, 18, 651, 740, 417, 2826, 760, 16500, 5022, 13092, 1053, 7054, 18, 1345, 7863, 41693, 3800, 289, 537, 290, 828, 322, 21230, 339, 18, 3557, 1033, 3333, 2874, 14725, 281, 3571, 12915, 18, 11324, 16, 309, 22993, 10668, 16, 374, 656, 651, 11055, 12031, 19329, 549, 7193, 861, 640, 17581, 46805, 27034, 811, 6197, 15506, 18, 17738, 478, 49938, 3202, 392, 269, 470, 2151, 562, 24088, 29499, 1624, 3895, 16150, 1423, 9632, 668, 14802, 16, 1039, 6002, 709, 289, 35010, 722, 1248, 2788, 280, 5552, 13329, 282, 19177, 451, 3049, 18, 12001, 429, 1779, 722, 38592, 1373, 575, 558, 310, 24982, 309, 965, 18, 478, 11233, 678, 322, 6332, 16, 510, 10824, 1595, 23959, 760, 24002, 49753, 18, 651, 23505, 282, 19177, 1212, 17188, 2963, 722, 1143, 703, 16, 2391, 417, 722, 975, 289, 7236, 861, 365, 8267, 349, 18326, 1756, 7193, 2145, 282, 15575, 1409, 2783, 22, 25467, 16536, 1154, 10157, 4143, 473, 29, 30, 23, 814, 31312, 421, 1659, 780, 9934, 1248, 1205, 282, 9131, 454, 21508, 309, 30482, 478, 684, 23570, 3646, 910, 1480, 416, 1391, 2888, 1281, 1658, 2479, 15364, 18, 3771, 840, 7739, 18621, 282, 8933, 439, 281, 15014, 353, 20447, 16, 367, 1038, 3291, 14209, 16, 19883, 2855, 289, 12398, 413, 2535, 18, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 7342, 1175, 334, 40730, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 684, 25293, 37252, 6369, 1857, 24652, 478, 8871, 20270, 30376, 910, 282, 2114, 16922, 403, 274, 331, 282, 26529, 2835, 13103, 7649, 305, 12902, 17035, 434, 26080, 16, 6015, 5540, 281, 12138, 688, 3245, 6410, 18, 31224, 30, 38156, 1205, 18, 365, 23742, 27982, 967, 7357, 2557, 988, 17, 299, 309, 15956, 3875, 35027, 17035, 434, 36797, 16, 1029, 1033, 5544, 986, 16560, 35034, 10359, 282, 33577, 18, 459, 1314, 1749, 6696, 360, 2592, 1938, 975, 349, 475, 5464, 4367, 510, 367, 1548, 44988, 343, 8302, 4222, 5252, 36063, 16, 34956, 3091, 9480, 4126, 16, 367, 424, 23136, 5129, 13731, 18822, 276, 29291, 18, 365, 3106, 34361, 411, 1767, 35149, 32429, 17057, 291, 473, 16922, 403, 274, 331, 25408, 1029, 1833, 21890, 16, 374, 36063, 10733, 455, 322, 924, 16, 367, 5688, 3359, 334, 16525, 459, 2603, 22528, 473, 7974, 15090, 6778, 2838, 289, 12983, 3888, 8150, 16, 515, 17035, 536, 44988, 635, 953, 322, 895, 18, 10334, 3671, 263, 1513, 8947, 3878, 15045, 16, 17057, 11118, 9095, 2678, 5298, 11969, 1743, 810, 724, 572, 845, 510, 3754, 16, 1223, 349, 2846, 2299, 18, 365, 3580, 29547, 349, 501, 452, 361, 18380, 35801, 2504, 18, 5674, 3588, 5564, 1886, 505, 42252, 510, 428, 5548, 7187, 42252, 6342, 6699, 32839, 16, 475, 40916, 17002, 309, 1047, 281, 43125, 16, 428, 309, 28626, 9984, 18, 8276, 35801, 26548, 10171, 3740, 473, 6729, 44008, 280, 25408, 541, 2024, 1158, 549, 2990, 354, 17057, 401, 2805, 3770, 2847, 324, 18, 10171, 3740, 289, 505, 28118, 289, 3458, 373, 11033, 360, 2835, 13103, 16, 515, 13003, 2103, 5970, 411, 4534, 1513, 9193, 478, 911, 668, 38307, 48774, 470, 3275, 2035, 8165, 16, 453, 374, 745, 31390, 274, 8463, 15715, 5345, 552, 18, 439, 282, 481, 808, 282, 967, 7357, 2557, 3621, 764, 2361, 11910, 16, 289, 920, 2688, 26080, 1858, 12852, 2444, 282, 19311, 18, 9592, 300, 37252, 6369, 1857, 24652, 478, 8871, 20270, 30376, 910, 282, 2114, 16922, 403, 274, 331, 3419, 1279, 25188, 289, 994, 13499, 19000, 28111, 309, 15956, 2553, 16, 753, 20632, 12138, 44988, 343, 18, 43730, 300, 9280, 1833, 1871, 10825, 16, 17508, 1527, 9467, 6149, 309, 11304, 7292, 38246, 349, 4101, 3142, 18, 1591, 17, 7329, 16, 481, 14255, 294, 33528, 15140, 277, 16190, 1612, 428, 5137, 541, 33057, 18, 640, 34764, 27429, 726, 986, 2852, 8272, 19536, 448, 15140, 29530, 4015, 10926, 401, 16, 1586, 9601, 281, 478, 46255, 486, 431, 910, 18447, 1081, 282, 4018, 17, 277, 31, 26026, 11606, 289, 5901, 14200, 7123, 30592, 530, 1385, 473, 275, 43534, 478, 29973, 282, 38300, 11523, 640, 478, 10789, 265, 430, 470, 16188, 478, 15164, 416, 22448, 470, 30532, 347, 1166, 11429, 448, 4905, 16, 11419, 281, 21407, 1734, 9844, 323, 16, 19064, 6063, 33969, 18416, 404, 2661, 289, 9440, 4309, 20451, 304, 528, 14163, 1711, 536, 18, 640, 34764, 575, 685, 289, 478, 19059, 314, 910, 3118, 30015, 44988, 454, 16, 497, 1668, 35745, 477, 3319, 19744, 16, 1029, 8826, 27608, 1888, 16, 478, 488, 1580, 470, 44988, 523, 18, 1665, 289, 16, 2091, 16, 3014, 10229, 3872, 34393, 8501, 2110, 21301, 37026, 9592, 14740, 478, 19571, 2118, 1741, 655, 910, 1029, 1215, 726, 1143, 1533, 986, 3419, 334, 37252, 18, 365, 478, 8871, 20270, 268, 464, 470, 473, 267, 19895, 1502, 24652, 6463, 9916, 289, 27448, 297, 6096, 18324, 3899, 778, 6778, 282, 3106, 4947, 2352, 4097, 20900, 299, 1743, 2887, 14818, 17035, 434, 26080, 16190, 1612, 510, 12097, 688, 3245, 6410, 18, 365, 10209, 16, 11618, 24652, 2702, 28687, 294, 11429, 416, 3182, 37589, 382, 688, 3245, 6410, 18, 365, 12884, 16, 2091, 16, 2539, 1007, 11074, 22587, 12153, 473, 24161, 1134, 26371, 7642, 16, 374, 475, 3621, 282, 30383, 934, 515, 29291, 26772, 510, 289, 567, 3147, 16651, 10198, 13731, 21374, 773, 41629, 541, 18822, 276, 18, 12757, 802, 289, 1595, 3595, 541, 15140, 978, 1101, 1907, 276, 510, 4011, 32878, 2835, 13103, 473, 275, 11129, 481, 685, 37704, 778, 17839, 269, 3720, 25478, 4083, 778, 16, 477, 1267, 1779, 8947, 2403, 16509, 6342, 6699, 26080, 13, 670, 14267, 282, 46496, 688, 3245, 6410, 41939, 2616, 17, 299, 4758, 18, 17580, 28730, 16, 2588, 26890, 10681, 1829, 478, 8871, 20270, 30376, 910, 510, 6542, 293, 1528, 264, 34449, 403, 274, 331, 18, 5585, 842, 19064, 811, 1011, 5703, 282, 43534, 478, 682, 306, 890, 283, 910, 988, 492, 16480, 1631, 281, 30505, 381, 35831, 1525, 16, 4736, 2989, 36587, 50054, 282, 15140, 292, 18, 2112, 978, 492, 9033, 709, 1269, 289, 2669, 16, 515, 726, 282, 10235, 42558, 510, 3057, 16, 282, 478, 822, 1744, 404, 470, 289, 478, 2176, 1167, 703, 3660, 861, 740, 8856, 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 ]
[ 696, 20605, 10616, 16, 492, 289, 505, 29591, 15762, 2602, 309, 3417, 5999, 478, 18229, 16, 475, 656, 9416, 6025, 5157, 979, 16, 510, 14403, 492, 18, 651, 740, 417, 2826, 760, 16500, 5022, 13092, 1053, 7054, 18, 1345, 7863, 41693, 3800, 289, 537, 290, 828, 322, 21230, 339, 18, 3557, 1033, 3333, 2874, 14725, 281, 3571, 12915, 18, 11324, 16, 309, 22993, 10668, 16, 374, 656, 651, 11055, 12031, 19329, 549, 7193, 861, 640, 17581, 46805, 27034, 811, 6197, 15506, 18, 17738, 478, 49938, 3202, 392, 269, 470, 2151, 562, 24088, 29499, 1624, 3895, 16150, 1423, 9632, 668, 14802, 16, 1039, 6002, 709, 289, 35010, 722, 1248, 2788, 280, 5552, 13329, 282, 19177, 451, 3049, 18, 12001, 429, 1779, 722, 38592, 1373, 575, 558, 310, 24982, 309, 965, 18, 478, 11233, 678, 322, 6332, 16, 510, 10824, 1595, 23959, 760, 24002, 49753, 18, 651, 23505, 282, 19177, 1212, 17188, 2963, 722, 1143, 703, 16, 2391, 417, 722, 975, 289, 7236, 861, 365, 8267, 349, 18326, 1756, 7193, 2145, 282, 15575, 1409, 2783, 22, 25467, 16536, 1154, 10157, 4143, 473, 29, 30, 23, 814, 31312, 421, 1659, 780, 9934, 1248, 1205, 282, 9131, 454, 21508, 309, 30482, 478, 684, 23570, 3646, 910, 1480, 416, 1391, 2888, 1281, 1658, 2479, 15364, 18, 3771, 840, 7739, 18621, 282, 8933, 439, 281, 15014, 353, 20447, 16, 367, 1038, 3291, 14209, 16, 19883, 2855, 289, 12398, 413, 2535, 18, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 7342, 1175, 334, 40730, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 684, 25293, 37252, 6369, 1857, 24652, 478, 8871, 20270, 30376, 910, 282, 2114, 16922, 403, 274, 331, 282, 26529, 2835, 13103, 7649, 305, 12902, 17035, 434, 26080, 16, 6015, 5540, 281, 12138, 688, 3245, 6410, 18, 31224, 30, 38156, 1205, 18, 365, 23742, 27982, 967, 7357, 2557, 988, 17, 299, 309, 15956, 3875, 35027, 17035, 434, 36797, 16, 1029, 1033, 5544, 986, 16560, 35034, 10359, 282, 33577, 18, 459, 1314, 1749, 6696, 360, 2592, 1938, 975, 349, 475, 5464, 4367, 510, 367, 1548, 44988, 343, 8302, 4222, 5252, 36063, 16, 34956, 3091, 9480, 4126, 16, 367, 424, 23136, 5129, 13731, 18822, 276, 29291, 18, 365, 3106, 34361, 411, 1767, 35149, 32429, 17057, 291, 473, 16922, 403, 274, 331, 25408, 1029, 1833, 21890, 16, 374, 36063, 10733, 455, 322, 924, 16, 367, 5688, 3359, 334, 16525, 459, 2603, 22528, 473, 7974, 15090, 6778, 2838, 289, 12983, 3888, 8150, 16, 515, 17035, 536, 44988, 635, 953, 322, 895, 18, 10334, 3671, 263, 1513, 8947, 3878, 15045, 16, 17057, 11118, 9095, 2678, 5298, 11969, 1743, 810, 724, 572, 845, 510, 3754, 16, 1223, 349, 2846, 2299, 18, 365, 3580, 29547, 349, 501, 452, 361, 18380, 35801, 2504, 18, 5674, 3588, 5564, 1886, 505, 42252, 510, 428, 5548, 7187, 42252, 6342, 6699, 32839, 16, 475, 40916, 17002, 309, 1047, 281, 43125, 16, 428, 309, 28626, 9984, 18, 8276, 35801, 26548, 10171, 3740, 473, 6729, 44008, 280, 25408, 541, 2024, 1158, 549, 2990, 354, 17057, 401, 2805, 3770, 2847, 324, 18, 10171, 3740, 289, 505, 28118, 289, 3458, 373, 11033, 360, 2835, 13103, 16, 515, 13003, 2103, 5970, 411, 4534, 1513, 9193, 478, 911, 668, 38307, 48774, 470, 3275, 2035, 8165, 16, 453, 374, 745, 31390, 274, 8463, 15715, 5345, 552, 18, 439, 282, 481, 808, 282, 967, 7357, 2557, 3621, 764, 2361, 11910, 16, 289, 920, 2688, 26080, 1858, 12852, 2444, 282, 19311, 18, 9592, 300, 37252, 6369, 1857, 24652, 478, 8871, 20270, 30376, 910, 282, 2114, 16922, 403, 274, 331, 3419, 1279, 25188, 289, 994, 13499, 19000, 28111, 309, 15956, 2553, 16, 753, 20632, 12138, 44988, 343, 18, 43730, 300, 9280, 1833, 1871, 10825, 16, 17508, 1527, 9467, 6149, 309, 11304, 7292, 38246, 349, 4101, 3142, 18, 1591, 17, 7329, 16, 481, 14255, 294, 33528, 15140, 277, 16190, 1612, 428, 5137, 541, 33057, 18, 640, 34764, 27429, 726, 986, 2852, 8272, 19536, 448, 15140, 29530, 4015, 10926, 401, 16, 1586, 9601, 281, 478, 46255, 486, 431, 910, 18447, 1081, 282, 4018, 17, 277, 31, 26026, 11606, 289, 5901, 14200, 7123, 30592, 530, 1385, 473, 275, 43534, 478, 29973, 282, 38300, 11523, 640, 478, 10789, 265, 430, 470, 16188, 478, 15164, 416, 22448, 470, 30532, 347, 1166, 11429, 448, 4905, 16, 11419, 281, 21407, 1734, 9844, 323, 16, 19064, 6063, 33969, 18416, 404, 2661, 289, 9440, 4309, 20451, 304, 528, 14163, 1711, 536, 18, 640, 34764, 575, 685, 289, 478, 19059, 314, 910, 3118, 30015, 44988, 454, 16, 497, 1668, 35745, 477, 3319, 19744, 16, 1029, 8826, 27608, 1888, 16, 478, 488, 1580, 470, 44988, 523, 18, 1665, 289, 16, 2091, 16, 3014, 10229, 3872, 34393, 8501, 2110, 21301, 37026, 9592, 14740, 478, 19571, 2118, 1741, 655, 910, 1029, 1215, 726, 1143, 1533, 986, 3419, 334, 37252, 18, 365, 478, 8871, 20270, 268, 464, 470, 473, 267, 19895, 1502, 24652, 6463, 9916, 289, 27448, 297, 6096, 18324, 3899, 778, 6778, 282, 3106, 4947, 2352, 4097, 20900, 299, 1743, 2887, 14818, 17035, 434, 26080, 16190, 1612, 510, 12097, 688, 3245, 6410, 18, 365, 10209, 16, 11618, 24652, 2702, 28687, 294, 11429, 416, 3182, 37589, 382, 688, 3245, 6410, 18, 365, 12884, 16, 2091, 16, 2539, 1007, 11074, 22587, 12153, 473, 24161, 1134, 26371, 7642, 16, 374, 475, 3621, 282, 30383, 934, 515, 29291, 26772, 510, 289, 567, 3147, 16651, 10198, 13731, 21374, 773, 41629, 541, 18822, 276, 18, 12757, 802, 289, 1595, 3595, 541, 15140, 978, 1101, 1907, 276, 510, 4011, 32878, 2835, 13103, 473, 275, 11129, 481, 685, 37704, 778, 17839, 269, 3720, 25478, 4083, 778, 16, 477, 1267, 1779, 8947, 2403, 16509, 6342, 6699, 26080, 13, 670, 14267, 282, 46496, 688, 3245, 6410, 41939, 2616, 17, 299, 4758, 18, 17580, 28730, 16, 2588, 26890, 10681, 1829, 478, 8871, 20270, 30376, 910, 510, 6542, 293, 1528, 264, 34449, 403, 274, 331, 18, 5585, 842, 19064, 811, 1011, 5703, 282, 43534, 478, 682, 306, 890, 283, 910, 988, 492, 16480, 1631, 281, 30505, 381, 35831, 1525, 16, 4736, 2989, 36587, 50054, 282, 15140, 292, 18, 2112, 978, 492, 9033, 709, 1269, 289, 2669, 16, 515, 726, 282, 10235, 42558, 510, 3057, 16, 282, 478, 822, 1744, 404, 470, 289, 478, 2176, 1167, 703, 3660, 861, 740, 8856, 473 ]
[ 265, 16, 2091, 16, 567, 7422, 11258, 478, 682, 306, 890, 413, 9979, 505, 20254, 1474, 414, 1293, 7799, 4220, 360, 1354, 289, 15515, 5578, 281, 5769, 938, 1734, 14055, 8429, 16, 374, 322, 28394, 773, 1494, 21581, 21735, 18, 21621, 453, 575, 8643, 965, 24890, 403, 274, 331, 289, 282, 478, 8871, 20270, 268, 464, 470, 510, 329, 1047, 1858, 282, 367, 2986, 404, 4141, 11580, 289, 46025, 4641, 330, 281, 21859, 282, 3941, 4447, 1128, 5622, 509, 16, 492, 1858, 7053, 2147, 16, 515, 309, 1177, 445, 975, 4549, 8082, 1992, 1332, 16, 282, 2114, 7312, 1551, 1195, 6342, 14974, 44988, 635, 18, 19065, 16, 374, 2388, 20254, 10602, 1528, 403, 274, 331, 1561, 802, 47650, 18, 5043, 16, 289, 5189, 17696, 46496, 282, 3875, 17209, 282, 478, 8871, 20270, 268, 464, 470, 9858, 360, 16, 3057, 16, 478, 46255, 486, 431, 861, 1483, 24303, 33869, 281, 3280, 2409, 3716, 1003, 16, 2650, 5702, 309, 41827, 950, 16, 367, 11618, 37279, 294, 8384, 1949, 19807, 4004, 291, 510, 21208, 403, 274, 331, 289, 30236, 44008, 347, 18, 365, 14183, 10390, 17537, 11841, 315, 3442, 2357, 978, 25811, 1771, 12136, 282, 7545, 5460, 1421, 262, 473, 431, 2948, 1551, 15508, 23481, 14722, 282, 17979, 5151, 28852, 4845, 323, 25408, 2486, 7006, 520, 3953, 9197, 47010, 349, 478, 911, 668, 38307, 48774, 910, 18763, 416, 29085, 30403, 4534, 18, 1665, 367, 349, 8203, 32839, 32593, 16, 4818, 16, 322, 2353, 510, 7006, 520, 18324, 3899, 778, 4618, 49191, 9358, 364, 23356, 1354, 688, 3245, 6410, 18, 2, 1, 87, 1456, 81, 2448, 30, 21589, 2145, 289, 38979, 1858, 3237, 2886, 282, 8312, 6491, 510, 25886, 888, 322, 12329, 16, 374, 13205, 18993, 353, 6147, 6382, 282, 32178, 20916, 360, 2236, 411, 2886, 432, 19232, 4246, 1155, 326, 18, 11896, 25198, 2815, 16, 374, 9099, 3193, 11673, 6684, 30876, 23255, 49049, 282, 32312, 17, 40050, 1212, 4993, 16, 367, 2419, 2145, 478, 960, 1023, 3236, 43762, 47368, 470, 541, 6143, 15734, 1437, 18, 31224, 30, 40050, 35921, 2145, 282, 27063, 1728, 49135, 871, 13759, 620, 46728, 613, 8629, 715, 18, 37087, 1729, 282, 32312, 17, 40050, 1212, 4993, 2406, 281, 7754, 353, 4246, 1155, 326, 16, 31158, 37128, 1639, 1623, 21045, 474, 1060, 508, 4593, 27567, 1251, 47519, 304, 16, 38979, 16, 9266, 342, 1555, 16, 38954, 20425, 16, 8937, 589, 2535, 289, 20772, 404, 339, 18, 478, 730, 333, 305, 451, 18993, 353, 6147, 2145, 1533, 4160, 749, 9959, 32137, 5439, 282, 4301, 453, 24941, 8124, 47368, 6382, 2364, 1702, 2503, 25109, 321, 848, 16, 2789, 6090, 282, 2452, 19232, 4246, 1155, 326, 18, 9807, 1133, 9637, 6938, 33895, 1617, 9637, 11517, 282, 1177, 4972, 910, 510, 5130, 282, 9907, 11896, 25198, 18, 9263, 25886, 375, 21890, 16, 374, 9807, 9298, 43272, 312, 11105, 20383, 48313, 304, 1195, 7754, 353, 289, 25670, 4857, 294, 1498, 5865, 353, 18, 478, 33929, 1133, 9637, 11517, 2700, 6563, 6081, 1880, 24324, 289, 45384, 2990, 16, 35049, 20928, 13312, 20383, 48313, 272, 289, 3623, 11612, 16, 367, 1038, 14855, 424, 17019, 13290, 9322, 15923, 25198, 18, 9807, 1162, 12483, 34160, 2743, 968, 23716, 14170, 1757, 18, 15066, 33331, 10941, 282, 6325, 269, 547, 2100, 726, 25907, 13198, 5939, 910, 510, 41988, 32975, 647, 28402, 18, 9873, 978, 16, 282, 571, 277, 306, 4044, 36366, 16, 374, 4426, 4153, 10386, 8885, 277, 12457, 25198, 289, 2044, 16, 32862, 282, 18281, 1066, 10263, 15530, 17, 46974, 11736, 473, 9407, 992, 4742, 934, 6295, 282, 32312, 17, 40050, 1212, 4993, 2742, 5471, 17789, 289, 9280, 48516, 1713, 8984, 44505, 3281, 18, 996, 16, 5548, 309, 9155, 18034, 7796, 1552, 2044, 439, 10869, 4742, 685, 2180, 5650, 18566, 478, 684, 314, 21181, 10108, 282, 32312, 17, 40050, 1212, 4993, 861, 478, 12856, 3888, 478, 42115, 22130, 3402, 470, 322, 29839, 21974, 32273, 6376, 8751, 6730, 16, 6267, 3712, 478, 44567, 323, 26651, 490, 624, 861, 10921, 1214, 5643, 3193, 2145, 18695, 6976, 25198, 5134, 7272, 334, 8928, 954, 1360, 8312, 28712, 282, 7204, 6615, 5058, 913, 910, 510, 1038, 4437, 5432, 282, 9907, 18, 365, 3227, 669, 2545, 2095, 7792, 9807, 3110, 16, 374, 697, 26896, 968, 15562, 281, 2145, 282, 8312, 6491, 478, 2445, 356, 2340, 2712, 2271, 3732, 5969, 910, 289, 29487, 2689, 1880, 9770, 322, 47706, 15562, 7071, 3550, 1082, 18, 967, 803, 11896, 25198, 28035, 15707, 1595, 20383, 48313, 567, 374, 373, 502, 537, 2438, 18, 4055, 4189, 9966, 25246, 11624, 13104, 11604, 2145, 38758, 27359, 8457, 2815, 290, 16115, 17877, 8711, 451, 5335, 334, 10939, 306, 309, 13420, 11056, 16, 827, 5037, 23127, 1642, 36176, 28565, 10859, 24070, 3574, 18, 1367, 803, 27359, 8457, 1109, 16, 30543, 309, 9964, 334, 3623, 282, 27060, 1212, 13785, 1011, 33099, 6684, 33568, 2145, 289, 18769, 18, 4824, 697, 13005, 2363, 33919, 16, 2259, 520, 492, 11960, 3574, 290, 7730, 763, 28481, 10687, 334, 10939, 306, 309, 13420, 11056, 16, 827, 373, 4770, 2145, 26731, 505, 16, 309, 374, 27359, 8457, 1109, 30, 478, 29153, 510, 581, 861, 824, 3163, 33919, 16, 2552, 11962, 3137, 282, 2145, 14522, 38730, 35744, 3574, 395, 27624, 5084, 18, 816, 4209, 5037, 31460, 11494, 19885, 24910, 20176, 282, 4542, 1728, 11815, 309, 29437, 14812, 334, 3623, 282, 49024, 1602, 17, 34123, 262, 11624, 35374, 9804, 478, 15035, 14101, 282, 1034, 6808, 312, 17, 17007, 470, 282, 37971, 864, 298, 2815, 16, 374, 37681, 25836, 6129, 3834, 43933, 5969, 11612, 16, 515, 492, 20427, 478, 7348, 891, 470, 1251, 5512, 17986, 18, 478, 25413, 43508, 1251, 2145, 289, 38979, 510, 5512, 11113, 4220, 20921, 1082, 2422, 510, 16487, 324, 16, 13013, 322, 1623, 16487, 536, 910, 510, 1109, 6452, 20176, 18, 824, 505, 3163, 16, 22154, 4452, 282, 2196, 582, 281, 25886, 15421, 282, 6942, 32589, 3860, 477, 1963, 12654, 30576, 16, 515, 4933, 2145, 322, 22806, 281, 867, 16, 374, 9807, 3043, 2285, 5472, 289, 2393, 9637, 31294, 309, 47327, 29427, 282, 32312, 17, 40050, 1212, 4993, 18, 478, 4348, 5358, 339, 1279, 2044, 16, 6447, 11319, 848, 14280, 3020, 3595, 7754, 289, 24384, 1587, 17992, 448, 31072, 5693, 18, 1345, 322, 5087, 289, 322, 3984, 7099, 29300, 564, 16, 25046, 4793, 5836, 282, 10579, 17, 273, 418, 910, 510, 9848, 6118, 18, 3791, 282, 8408, 26267, 617, 2145, 3705, 282, 49024, 1212, 9804, 6452, 20176, 1109, 16, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 265, 16, 2091, 16, 567, 7422, 11258, 478, 682, 306, 890, 413, 9979, 505, 20254, 1474, 414, 1293, 7799, 4220, 360, 1354, 289, 15515, 5578, 281, 5769, 938, 1734, 14055, 8429, 16, 374, 322, 28394, 773, 1494, 21581, 21735, 18, 21621, 453, 575, 8643, 965, 24890, 403, 274, 331, 289, 282, 478, 8871, 20270, 268, 464, 470, 510, 329, 1047, 1858, 282, 367, 2986, 404, 4141, 11580, 289, 46025, 4641, 330, 281, 21859, 282, 3941, 4447, 1128, 5622, 509, 16, 492, 1858, 7053, 2147, 16, 515, 309, 1177, 445, 975, 4549, 8082, 1992, 1332, 16, 282, 2114, 7312, 1551, 1195, 6342, 14974, 44988, 635, 18, 19065, 16, 374, 2388, 20254, 10602, 1528, 403, 274, 331, 1561, 802, 47650, 18, 5043, 16, 289, 5189, 17696, 46496, 282, 3875, 17209, 282, 478, 8871, 20270, 268, 464, 470, 9858, 360, 16, 3057, 16, 478, 46255, 486, 431, 861, 1483, 24303, 33869, 281, 3280, 2409, 3716, 1003, 16, 2650, 5702, 309, 41827, 950, 16, 367, 11618, 37279, 294, 8384, 1949, 19807, 4004, 291, 510, 21208, 403, 274, 331, 289, 30236, 44008, 347, 18, 365, 14183, 10390, 17537, 11841, 315, 3442, 2357, 978, 25811, 1771, 12136, 282, 7545, 5460, 1421, 262, 473, 431, 2948, 1551, 15508, 23481, 14722, 282, 17979, 5151, 28852, 4845, 323, 25408, 2486, 7006, 520, 3953, 9197, 47010, 349, 478, 911, 668, 38307, 48774, 910, 18763, 416, 29085, 30403, 4534, 18, 1665, 367, 349, 8203, 32839, 32593, 16, 4818, 16, 322, 2353, 510, 7006, 520, 18324, 3899, 778, 4618, 49191, 9358, 364, 23356, 1354, 688, 3245, 6410, 18, 2, 1, 87, 1456, 81, 2448, 30, 21589, 2145, 289, 38979, 1858, 3237, 2886, 282, 8312, 6491, 510, 25886, 888, 322, 12329, 16, 374, 13205, 18993, 353, 6147, 6382, 282, 32178, 20916, 360, 2236, 411, 2886, 432, 19232, 4246, 1155, 326, 18, 11896, 25198, 2815, 16, 374, 9099, 3193, 11673, 6684, 30876, 23255, 49049, 282, 32312, 17, 40050, 1212, 4993, 16, 367, 2419, 2145, 478, 960, 1023, 3236, 43762, 47368, 470, 541, 6143, 15734, 1437, 18, 31224, 30, 40050, 35921, 2145, 282, 27063, 1728, 49135, 871, 13759, 620, 46728, 613, 8629, 715, 18, 37087, 1729, 282, 32312, 17, 40050, 1212, 4993, 2406, 281, 7754, 353, 4246, 1155, 326, 16, 31158, 37128, 1639, 1623, 21045, 474, 1060, 508, 4593, 27567, 1251, 47519, 304, 16, 38979, 16, 9266, 342, 1555, 16, 38954, 20425, 16, 8937, 589, 2535, 289, 20772, 404, 339, 18, 478, 730, 333, 305, 451, 18993, 353, 6147, 2145, 1533, 4160, 749, 9959, 32137, 5439, 282, 4301, 453, 24941, 8124, 47368, 6382, 2364, 1702, 2503, 25109, 321, 848, 16, 2789, 6090, 282, 2452, 19232, 4246, 1155, 326, 18, 9807, 1133, 9637, 6938, 33895, 1617, 9637, 11517, 282, 1177, 4972, 910, 510, 5130, 282, 9907, 11896, 25198, 18, 9263, 25886, 375, 21890, 16, 374, 9807, 9298, 43272, 312, 11105, 20383, 48313, 304, 1195, 7754, 353, 289, 25670, 4857, 294, 1498, 5865, 353, 18, 478, 33929, 1133, 9637, 11517, 2700, 6563, 6081, 1880, 24324, 289, 45384, 2990, 16, 35049, 20928, 13312, 20383, 48313, 272, 289, 3623, 11612, 16, 367, 1038, 14855, 424, 17019, 13290, 9322, 15923, 25198, 18, 9807, 1162, 12483, 34160, 2743, 968, 23716, 14170, 1757, 18, 15066, 33331, 10941, 282, 6325, 269, 547, 2100, 726, 25907, 13198, 5939, 910, 510, 41988, 32975, 647, 28402, 18, 9873, 978, 16, 282, 571, 277, 306, 4044, 36366, 16, 374, 4426, 4153, 10386, 8885, 277, 12457, 25198, 289, 2044, 16, 32862, 282, 18281, 1066, 10263, 15530, 17, 46974, 11736, 473, 9407, 992, 4742, 934, 6295, 282, 32312, 17, 40050, 1212, 4993, 2742, 5471, 17789, 289, 9280, 48516, 1713, 8984, 44505, 3281, 18, 996, 16, 5548, 309, 9155, 18034, 7796, 1552, 2044, 439, 10869, 4742, 685, 2180, 5650, 18566, 478, 684, 314, 21181, 10108, 282, 32312, 17, 40050, 1212, 4993, 861, 478, 12856, 3888, 478, 42115, 22130, 3402, 470, 322, 29839, 21974, 32273, 6376, 8751, 6730, 16, 6267, 3712, 478, 44567, 323, 26651, 490, 624, 861, 10921, 1214, 5643, 3193, 2145, 18695, 6976, 25198, 5134, 7272, 334, 8928, 954, 1360, 8312, 28712, 282, 7204, 6615, 5058, 913, 910, 510, 1038, 4437, 5432, 282, 9907, 18, 365, 3227, 669, 2545, 2095, 7792, 9807, 3110, 16, 374, 697, 26896, 968, 15562, 281, 2145, 282, 8312, 6491, 478, 2445, 356, 2340, 2712, 2271, 3732, 5969, 910, 289, 29487, 2689, 1880, 9770, 322, 47706, 15562, 7071, 3550, 1082, 18, 967, 803, 11896, 25198, 28035, 15707, 1595, 20383, 48313, 567, 374, 373, 502, 537, 2438, 18, 4055, 4189, 9966, 25246, 11624, 13104, 11604, 2145, 38758, 27359, 8457, 2815, 290, 16115, 17877, 8711, 451, 5335, 334, 10939, 306, 309, 13420, 11056, 16, 827, 5037, 23127, 1642, 36176, 28565, 10859, 24070, 3574, 18, 1367, 803, 27359, 8457, 1109, 16, 30543, 309, 9964, 334, 3623, 282, 27060, 1212, 13785, 1011, 33099, 6684, 33568, 2145, 289, 18769, 18, 4824, 697, 13005, 2363, 33919, 16, 2259, 520, 492, 11960, 3574, 290, 7730, 763, 28481, 10687, 334, 10939, 306, 309, 13420, 11056, 16, 827, 373, 4770, 2145, 26731, 505, 16, 309, 374, 27359, 8457, 1109, 30, 478, 29153, 510, 581, 861, 824, 3163, 33919, 16, 2552, 11962, 3137, 282, 2145, 14522, 38730, 35744, 3574, 395, 27624, 5084, 18, 816, 4209, 5037, 31460, 11494, 19885, 24910, 20176, 282, 4542, 1728, 11815, 309, 29437, 14812, 334, 3623, 282, 49024, 1602, 17, 34123, 262, 11624, 35374, 9804, 478, 15035, 14101, 282, 1034, 6808, 312, 17, 17007, 470, 282, 37971, 864, 298, 2815, 16, 374, 37681, 25836, 6129, 3834, 43933, 5969, 11612, 16, 515, 492, 20427, 478, 7348, 891, 470, 1251, 5512, 17986, 18, 478, 25413, 43508, 1251, 2145, 289, 38979, 510, 5512, 11113, 4220, 20921, 1082, 2422, 510, 16487, 324, 16, 13013, 322, 1623, 16487, 536, 910, 510, 1109, 6452, 20176, 18, 824, 505, 3163, 16, 22154, 4452, 282, 2196, 582, 281, 25886, 15421, 282, 6942, 32589, 3860, 477, 1963, 12654, 30576, 16, 515, 4933, 2145, 322, 22806, 281, 867, 16, 374, 9807, 3043, 2285, 5472, 289, 2393, 9637, 31294, 309, 47327, 29427, 282, 32312, 17, 40050, 1212, 4993, 18, 478, 4348, 5358, 339, 1279, 2044, 16, 6447, 11319, 848, 14280, 3020, 3595, 7754, 289, 24384, 1587, 17992, 448, 31072, 5693, 18, 1345, 322, 5087, 289, 322, 3984, 7099, 29300, 564, 16, 25046, 4793, 5836, 282, 10579, 17, 273, 418, 910, 510, 9848, 6118, 18, 3791, 282, 8408, 26267, 617, 2145, 3705, 282, 49024, 1212, 9804, 6452, 20176, 1109, 16, 374 ]
[ 5957, 2364, 5259, 9, 11673, 20072, 453, 5473, 5447, 4568, 1333, 1747, 734, 25063, 2626, 282, 439, 10300, 18, 817, 1038, 37386, 3064, 6287, 1033, 49772, 1810, 281, 31279, 304, 2145, 334, 2760, 11188, 28674, 282, 49024, 1602, 17, 34123, 262, 11624, 14508, 5549, 18, 2, 1, 87, 1456, 81, 2448, 30, 732, 3284, 549, 424, 412, 3466, 2887, 20122, 281, 2742, 43077, 12318, 12142, 43935, 40396, 282, 1175, 5702, 25565, 18, 31224, 30, 18418, 1491, 2430, 8251, 937, 38962, 329, 24282, 8764, 24634, 16, 2789, 20202, 282, 4698, 45272, 9328, 14795, 33410, 13597, 2553, 18, 14541, 448, 17658, 651, 334, 8386, 22776, 617, 8709, 29085, 5693, 38502, 334, 3094, 13402, 15442, 277, 16, 2709, 8208, 617, 6236, 432, 4760, 289, 15566, 303, 2166, 14749, 289, 12794, 19080, 18, 740, 30516, 424, 412, 3466, 2887, 20122, 281, 2742, 43077, 12318, 12142, 43935, 40396, 282, 1175, 17648, 324, 18, 5257, 374, 18666, 10305, 16, 1754, 23414, 10264, 33614, 5606, 1562, 7583, 2891, 16, 453, 575, 1218, 21665, 16621, 16, 428, 289, 28964, 13595, 1209, 23572, 15901, 10120, 282, 4008, 18, 36223, 6321, 978, 40396, 935, 322, 282, 970, 16, 374, 4424, 477, 1612, 43077, 12142, 282, 1175, 1747, 10211, 7065, 331, 1938, 2826, 16987, 7065, 18, 38792, 2199, 27126, 16, 374, 519, 4319, 1326, 282, 836, 26597, 3182, 1175, 322, 639, 8640, 1804, 6507, 10652, 2749, 22240, 329, 13026, 1378, 294, 5750, 3756, 7638, 272, 10279, 18, 439, 478, 1599, 6932, 451, 10902, 269, 470, 4210, 36937, 5881, 1624, 11055, 7346, 756, 1779, 24282, 8764, 19602, 289, 2944, 2412, 1815, 3059, 12797, 1347, 360, 5649, 560, 16, 27322, 5406, 16, 5112, 3872, 24074, 294, 29813, 18, 2877, 575, 492, 39846, 322, 687, 7065, 16, 515, 289, 282, 3106, 21784, 4593, 8274, 47141, 7069, 23429, 1617, 1942, 363, 523, 1133, 31294, 16, 49908, 282, 20783, 4934, 4792, 668, 7341, 1066, 18, 2046, 15582, 411, 978, 2402, 2035, 334, 35556, 7583, 10035, 289, 12402, 14820, 7426, 986, 40396, 1698, 953, 12123, 45554, 8095, 758, 18, 5454, 16, 36316, 2916, 303, 626, 1779, 2200, 10343, 297, 18249, 7065, 1139, 23009, 475, 19435, 6802, 1133, 31294, 16, 12509, 19080, 289, 20722, 12448, 6937, 478, 864, 285, 1206, 454, 861, 439, 895, 953, 16, 481, 2615, 3022, 16, 1857, 20359, 16, 374, 5494, 895, 371, 16901, 4190, 29753, 478, 13775, 408, 470, 670, 374, 329, 1710, 1143, 1003, 10361, 432, 14412, 10931, 16, 753, 29834, 1209, 1680, 332, 7126, 19589, 2576, 16, 18392, 16141, 334, 36527, 18, 19752, 847, 13943, 16, 14517, 282, 970, 2875, 289, 16020, 26659, 18, 24282, 8764, 19602, 651, 7065, 322, 14463, 778, 18, 2320, 1055, 1372, 3308, 478, 660, 2147, 470, 24282, 8764, 19602, 17, 293, 15673, 1830, 289, 10008, 3938, 40189, 31179, 16, 515, 322, 282, 7117, 8334, 33618, 16, 453, 374, 20308, 662, 334, 29933, 322, 895, 9002, 649, 15006, 43980, 770, 8219, 4764, 18, 43744, 2328, 2955, 26541, 289, 924, 16, 374, 475, 334, 17, 390, 35458, 18, 40772, 309, 6153, 15459, 14812, 478, 11825, 39673, 4271, 8099, 6365, 6096, 20828, 2440, 1624, 48131, 3003, 19080, 334, 24282, 8764, 6838, 454, 16, 4725, 16, 374, 3771, 16, 282, 6588, 360, 13573, 15901, 31726, 16, 519, 4319, 1326, 322, 7065, 331, 4318, 537, 2236, 20122, 8709, 18, 459, 1215, 1441, 7199, 481, 16, 867, 1033, 374, 10346, 448, 22847, 10317, 541, 30310, 22773, 4726, 898, 30, 2702, 1830, 373, 924, 16, 374, 40692, 16755, 2610, 24282, 8764, 24634, 685, 1717, 19080, 16, 5076, 21962, 45274, 7065, 2916, 303, 1646, 1033, 4843, 21, 5096, 18, 832, 2619, 4284, 33102, 289, 8534, 40396, 24282, 8764, 24634, 18, 832, 22847, 651, 289, 26346, 2891, 16, 289, 14697, 2271, 4283, 16, 374, 309, 6802, 1212, 25858, 16908, 22773, 329, 21962, 50074, 8709, 322, 13190, 847, 16, 651, 367, 16020, 18, 832, 20846, 16, 374, 309, 9185, 14434, 281, 36937, 390, 3259, 2301, 2337, 3639, 416, 309, 5494, 30870, 2553, 473, 35671, 36937, 5881, 16, 13302, 16, 24388, 1717, 294, 2856, 28514, 4143, 13, 31777, 9496, 282, 32724, 9620, 428, 5080, 354, 17926, 289, 33690, 427, 722, 50110, 18, 5043, 16, 753, 2240, 2388, 15582, 289, 309, 8125, 13449, 309, 1033, 7095, 434, 5080, 354, 473, 28594, 1037, 3583, 16, 3057, 934, 1513, 10986, 19676, 16, 374, 4243, 18, 365, 2456, 520, 2463, 6732, 322, 2564, 670, 322, 19980, 9227, 4211, 36937, 15360, 16, 670, 575, 16, 7415, 16, 28896, 297, 505, 6929, 2900, 8195, 17964, 40396, 281, 19534, 32889, 22240, 18, 365, 6449, 1750, 13273, 2513, 13773, 360, 5054, 2891, 289, 7321, 16, 1387, 5540, 309, 20916, 294, 2891, 16, 24609, 16, 374, 5773, 37063, 539, 282, 3591, 39860, 16211, 3003, 510, 16908, 22773, 329, 35586, 43710, 7894, 8709, 510, 895, 16223, 2998, 3818, 42373, 536, 2175, 18, 832, 687, 16660, 14429, 16, 515, 289, 8275, 322, 282, 4349, 3670, 16, 1623, 520, 20308, 662, 24282, 8764, 24634, 37865, 33198, 16, 12793, 1188, 555, 10305, 289, 2891, 282, 4008, 16, 40526, 16115, 7179, 4000, 6281, 334, 14857, 25150, 4068, 7234, 670, 44178, 24719, 6226, 2891, 282, 17099, 18247, 19569, 1562, 16, 281, 1335, 16527, 11940, 18, 10334, 3433, 17648, 622, 27810, 289, 282, 4599, 50091, 4284, 3725, 3275, 1580, 11065, 10120, 16, 10359, 282, 10209, 520, 10631, 3775, 3751, 16, 1660, 3957, 5494, 16, 2319, 678, 8643, 8362, 289, 374, 3459, 5832, 9874, 722, 4075, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 17134, 17, 3822, 711, 2145, 30, 9215, 17, 513, 1285, 5053, 282, 1664, 275, 713, 2127, 294, 2506, 267, 2000, 668, 289, 28474, 1143, 50040, 16, 7504, 478, 1009, 1117, 1270, 417, 470, 1904, 3419, 282, 15770, 289, 1175, 16, 367, 478, 1659, 446, 262, 17, 1957, 7037, 470, 14930, 484, 281, 504, 5353, 503, 304, 289, 30698, 503, 304, 18, 31224, 30, 684, 375, 17033, 2771, 3384, 25075, 549, 16248, 4761, 4350, 17993, 5335, 758, 40169, 18, 365, 7847, 1045, 678, 7625, 9496, 1833, 14638, 8621, 353, 30, 13557, 7451, 43655, 478, 21292, 675, 47047, 910, 13798, 19988, 7504, 478, 23555, 861, 439, 309, 9518, 29051, 4781, 807, 38190, 2812, 701, 23383, 6632, 9960, 931, 507, 478, 24461, 17, 513, 1285, 30, 22928, 2357, 3977, 470, 510, 2261, 17, 361, 8621, 1664, 275, 713, 680, 3502, 460, 936, 289, 19449, 27652, 864, 820, 7756, 6623, 16, 35019, 8027, 4276, 35605, 4276, 289, 505, 4590, 9946, 15519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5957, 2364, 5259, 9, 11673, 20072, 453, 5473, 5447, 4568, 1333, 1747, 734, 25063, 2626, 282, 439, 10300, 18, 817, 1038, 37386, 3064, 6287, 1033, 49772, 1810, 281, 31279, 304, 2145, 334, 2760, 11188, 28674, 282, 49024, 1602, 17, 34123, 262, 11624, 14508, 5549, 18, 2, 1, 87, 1456, 81, 2448, 30, 732, 3284, 549, 424, 412, 3466, 2887, 20122, 281, 2742, 43077, 12318, 12142, 43935, 40396, 282, 1175, 5702, 25565, 18, 31224, 30, 18418, 1491, 2430, 8251, 937, 38962, 329, 24282, 8764, 24634, 16, 2789, 20202, 282, 4698, 45272, 9328, 14795, 33410, 13597, 2553, 18, 14541, 448, 17658, 651, 334, 8386, 22776, 617, 8709, 29085, 5693, 38502, 334, 3094, 13402, 15442, 277, 16, 2709, 8208, 617, 6236, 432, 4760, 289, 15566, 303, 2166, 14749, 289, 12794, 19080, 18, 740, 30516, 424, 412, 3466, 2887, 20122, 281, 2742, 43077, 12318, 12142, 43935, 40396, 282, 1175, 17648, 324, 18, 5257, 374, 18666, 10305, 16, 1754, 23414, 10264, 33614, 5606, 1562, 7583, 2891, 16, 453, 575, 1218, 21665, 16621, 16, 428, 289, 28964, 13595, 1209, 23572, 15901, 10120, 282, 4008, 18, 36223, 6321, 978, 40396, 935, 322, 282, 970, 16, 374, 4424, 477, 1612, 43077, 12142, 282, 1175, 1747, 10211, 7065, 331, 1938, 2826, 16987, 7065, 18, 38792, 2199, 27126, 16, 374, 519, 4319, 1326, 282, 836, 26597, 3182, 1175, 322, 639, 8640, 1804, 6507, 10652, 2749, 22240, 329, 13026, 1378, 294, 5750, 3756, 7638, 272, 10279, 18, 439, 478, 1599, 6932, 451, 10902, 269, 470, 4210, 36937, 5881, 1624, 11055, 7346, 756, 1779, 24282, 8764, 19602, 289, 2944, 2412, 1815, 3059, 12797, 1347, 360, 5649, 560, 16, 27322, 5406, 16, 5112, 3872, 24074, 294, 29813, 18, 2877, 575, 492, 39846, 322, 687, 7065, 16, 515, 289, 282, 3106, 21784, 4593, 8274, 47141, 7069, 23429, 1617, 1942, 363, 523, 1133, 31294, 16, 49908, 282, 20783, 4934, 4792, 668, 7341, 1066, 18, 2046, 15582, 411, 978, 2402, 2035, 334, 35556, 7583, 10035, 289, 12402, 14820, 7426, 986, 40396, 1698, 953, 12123, 45554, 8095, 758, 18, 5454, 16, 36316, 2916, 303, 626, 1779, 2200, 10343, 297, 18249, 7065, 1139, 23009, 475, 19435, 6802, 1133, 31294, 16, 12509, 19080, 289, 20722, 12448, 6937, 478, 864, 285, 1206, 454, 861, 439, 895, 953, 16, 481, 2615, 3022, 16, 1857, 20359, 16, 374, 5494, 895, 371, 16901, 4190, 29753, 478, 13775, 408, 470, 670, 374, 329, 1710, 1143, 1003, 10361, 432, 14412, 10931, 16, 753, 29834, 1209, 1680, 332, 7126, 19589, 2576, 16, 18392, 16141, 334, 36527, 18, 19752, 847, 13943, 16, 14517, 282, 970, 2875, 289, 16020, 26659, 18, 24282, 8764, 19602, 651, 7065, 322, 14463, 778, 18, 2320, 1055, 1372, 3308, 478, 660, 2147, 470, 24282, 8764, 19602, 17, 293, 15673, 1830, 289, 10008, 3938, 40189, 31179, 16, 515, 322, 282, 7117, 8334, 33618, 16, 453, 374, 20308, 662, 334, 29933, 322, 895, 9002, 649, 15006, 43980, 770, 8219, 4764, 18, 43744, 2328, 2955, 26541, 289, 924, 16, 374, 475, 334, 17, 390, 35458, 18, 40772, 309, 6153, 15459, 14812, 478, 11825, 39673, 4271, 8099, 6365, 6096, 20828, 2440, 1624, 48131, 3003, 19080, 334, 24282, 8764, 6838, 454, 16, 4725, 16, 374, 3771, 16, 282, 6588, 360, 13573, 15901, 31726, 16, 519, 4319, 1326, 322, 7065, 331, 4318, 537, 2236, 20122, 8709, 18, 459, 1215, 1441, 7199, 481, 16, 867, 1033, 374, 10346, 448, 22847, 10317, 541, 30310, 22773, 4726, 898, 30, 2702, 1830, 373, 924, 16, 374, 40692, 16755, 2610, 24282, 8764, 24634, 685, 1717, 19080, 16, 5076, 21962, 45274, 7065, 2916, 303, 1646, 1033, 4843, 21, 5096, 18, 832, 2619, 4284, 33102, 289, 8534, 40396, 24282, 8764, 24634, 18, 832, 22847, 651, 289, 26346, 2891, 16, 289, 14697, 2271, 4283, 16, 374, 309, 6802, 1212, 25858, 16908, 22773, 329, 21962, 50074, 8709, 322, 13190, 847, 16, 651, 367, 16020, 18, 832, 20846, 16, 374, 309, 9185, 14434, 281, 36937, 390, 3259, 2301, 2337, 3639, 416, 309, 5494, 30870, 2553, 473, 35671, 36937, 5881, 16, 13302, 16, 24388, 1717, 294, 2856, 28514, 4143, 13, 31777, 9496, 282, 32724, 9620, 428, 5080, 354, 17926, 289, 33690, 427, 722, 50110, 18, 5043, 16, 753, 2240, 2388, 15582, 289, 309, 8125, 13449, 309, 1033, 7095, 434, 5080, 354, 473, 28594, 1037, 3583, 16, 3057, 934, 1513, 10986, 19676, 16, 374, 4243, 18, 365, 2456, 520, 2463, 6732, 322, 2564, 670, 322, 19980, 9227, 4211, 36937, 15360, 16, 670, 575, 16, 7415, 16, 28896, 297, 505, 6929, 2900, 8195, 17964, 40396, 281, 19534, 32889, 22240, 18, 365, 6449, 1750, 13273, 2513, 13773, 360, 5054, 2891, 289, 7321, 16, 1387, 5540, 309, 20916, 294, 2891, 16, 24609, 16, 374, 5773, 37063, 539, 282, 3591, 39860, 16211, 3003, 510, 16908, 22773, 329, 35586, 43710, 7894, 8709, 510, 895, 16223, 2998, 3818, 42373, 536, 2175, 18, 832, 687, 16660, 14429, 16, 515, 289, 8275, 322, 282, 4349, 3670, 16, 1623, 520, 20308, 662, 24282, 8764, 24634, 37865, 33198, 16, 12793, 1188, 555, 10305, 289, 2891, 282, 4008, 16, 40526, 16115, 7179, 4000, 6281, 334, 14857, 25150, 4068, 7234, 670, 44178, 24719, 6226, 2891, 282, 17099, 18247, 19569, 1562, 16, 281, 1335, 16527, 11940, 18, 10334, 3433, 17648, 622, 27810, 289, 282, 4599, 50091, 4284, 3725, 3275, 1580, 11065, 10120, 16, 10359, 282, 10209, 520, 10631, 3775, 3751, 16, 1660, 3957, 5494, 16, 2319, 678, 8643, 8362, 289, 374, 3459, 5832, 9874, 722, 4075, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 17134, 17, 3822, 711, 2145, 30, 9215, 17, 513, 1285, 5053, 282, 1664, 275, 713, 2127, 294, 2506, 267, 2000, 668, 289, 28474, 1143, 50040, 16, 7504, 478, 1009, 1117, 1270, 417, 470, 1904, 3419, 282, 15770, 289, 1175, 16, 367, 478, 1659, 446, 262, 17, 1957, 7037, 470, 14930, 484, 281, 504, 5353, 503, 304, 289, 30698, 503, 304, 18, 31224, 30, 684, 375, 17033, 2771, 3384, 25075, 549, 16248, 4761, 4350, 17993, 5335, 758, 40169, 18, 365, 7847, 1045, 678, 7625, 9496, 1833, 14638, 8621, 353, 30, 13557, 7451, 43655, 478, 21292, 675, 47047, 910, 13798, 19988, 7504, 478, 23555, 861, 439, 309, 9518, 29051, 4781, 807, 38190, 2812, 701, 23383, 6632, 9960, 931, 507, 478, 24461, 17, 513, 1285, 30, 22928, 2357, 3977, 470, 510, 2261, 17, 361, 8621, 1664, 275, 713, 680, 3502, 460, 936, 289, 19449, 27652, 864, 820, 7756, 6623, 16, 35019, 8027, 4276, 35605, 4276, 289, 505, 4590, 9946, 15519 ]
[ 6086, 18, 889, 2438, 15371, 1011, 924, 16, 428, 3785, 35229, 16, 1754, 17845, 3018, 309, 44609, 17, 513, 4474, 16, 26405, 21377, 281, 4761, 4350, 381, 28141, 978, 14439, 282, 726, 27636, 18525, 25075, 668, 18, 13191, 2241, 322, 438, 1041, 3616, 18, 999, 46915, 12776, 281, 1409, 334, 1658, 4209, 3655, 478, 24461, 17, 513, 1285, 470, 28474, 282, 2145, 4843, 21, 3420, 3763, 289, 12307, 7015, 1756, 282, 33937, 44137, 17, 7355, 409, 18, 365, 10209, 16, 478, 47045, 2357, 3977, 470, 2955, 16, 4213, 16, 6532, 1965, 1588, 18893, 536, 478, 1386, 1431, 9125, 470, 978, 27734, 282, 7782, 2305, 15580, 349, 4101, 3142, 1664, 275, 713, 2127, 11334, 18, 11474, 16, 481, 6793, 396, 33001, 4874, 17777, 281, 26287, 294, 2506, 9055, 1734, 4761, 4350, 510, 282, 25097, 912, 16, 3057, 21472, 478, 38877, 501, 451, 1135, 470, 10512, 273, 473, 37450, 1359, 981, 272, 307, 17, 39121, 934, 1029, 26525, 1211, 349, 27508, 966, 9215, 304, 17, 513, 272, 635, 473, 6568, 17, 7745, 9778, 5990, 9065, 6047, 25408, 2645, 5583, 46307, 428, 8777, 6057, 18, 740, 282, 5329, 1373, 475, 16, 428, 7239, 282, 1664, 275, 713, 933, 6632, 9960, 931, 4330, 8508, 1612, 16, 961, 2697, 322, 25009, 294, 9044, 1075, 16, 510, 9019, 34740, 265, 16, 9019, 288, 3704, 33729, 289, 764, 2197, 30263, 4090, 2422, 16, 1029, 30552, 6911, 32290, 1013, 282, 1176, 3084, 970, 18, 5890, 1314, 6218, 16, 374, 478, 47045, 2357, 3977, 470, 5121, 36986, 18, 1591, 1514, 2968, 505, 35263, 282, 2615, 46915, 12776, 19967, 4843, 4691, 27, 3763, 473, 960, 45439, 17, 21325, 356, 547, 38204, 5102, 282, 1175, 16, 3057, 16, 492, 41532, 281, 4183, 2223, 289, 281, 7953, 758, 13553, 2661, 282, 11281, 25, 3763, 2791, 18, 824, 2411, 8317, 11453, 4762, 282, 2145, 6793, 12307, 13379, 27548, 1756, 282, 294, 2506, 9055, 1734, 16, 289, 329, 1047, 912, 18014, 16, 753, 14062, 282, 6031, 6842, 26193, 32023, 18, 45598, 16, 374, 360, 8621, 1329, 10049, 322, 23653, 510, 4889, 25293, 33843, 18604, 4110, 16, 374, 3655, 478, 24461, 17, 513, 1285, 470, 719, 15946, 282, 2145, 360, 4843, 7181, 3763, 519, 4843, 37992, 3763, 16, 38699, 906, 26538, 289, 309, 45263, 47568, 5737, 3763, 13, 510, 453, 374, 1441, 475, 282, 35229, 289, 4761, 4350, 478, 19696, 19042, 44533, 910, 334, 3163, 6677, 36926, 35229, 10167, 669, 22982, 30058, 18, 31312, 6793, 290, 9215, 263, 17, 513, 272, 582, 282, 4301, 1664, 275, 713, 680, 294, 2506, 9055, 1734, 19988, 282, 26155, 1045, 18, 12467, 8332, 2223, 282, 4056, 30019, 582, 17670, 414, 4439, 936, 19163, 8560, 16, 726, 3286, 2508, 965, 281, 3453, 19621, 1963, 18, 478, 1009, 1117, 1270, 417, 816, 470, 473, 40, 14276, 658, 4904, 14433, 816, 16, 7847, 13, 24605, 1756, 28774, 26914, 597, 478, 1009, 1117, 1270, 417, 816, 910, 45828, 12640, 349, 46915, 12776, 4843, 7751, 3763, 18, 22358, 473, 551, 968, 16, 20933, 510, 281, 9752, 19136, 17, 21131, 264, 478, 780, 15591, 2899, 9979, 6793, 7756, 290, 9019, 288, 3704, 1674, 528, 2243, 289, 505, 22165, 2466, 726, 28474, 567, 1514, 2968, 4843, 8400, 27, 16, 25, 3763, 289, 29362, 9737, 18204, 1595, 6459, 17, 21325, 32081, 7143, 18, 640, 1335, 11056, 349, 13952, 2145, 505, 35263, 5823, 1472, 2500, 4803, 16, 828, 329, 478, 1659, 8446, 343, 17, 513, 4474, 470, 510, 4843, 4234, 29, 3763, 1279, 4843, 3940, 20, 3763, 16, 6793, 2780, 281, 11529, 347, 13006, 354, 282, 15770, 47568, 11559, 3763, 934, 367, 282, 1175, 2838, 289, 12307, 11464, 1756, 16, 515, 10016, 310, 41728, 668, 2581, 454, 473, 275, 42858, 16, 9121, 814, 12250, 263, 1756, 282, 44137, 17, 7355, 409, 2145, 329, 8736, 343, 7009, 25636, 8860, 354, 478, 24705, 1206, 309, 28793, 546, 861, 640, 1967, 27766, 6793, 17379, 4843, 2783, 16, 28, 3763, 289, 2558, 310, 16737, 49253, 519, 4843, 6695, 16, 28, 3763, 510, 371, 38204, 282, 4843, 7751, 3763, 481, 3872, 30747, 6441, 18, 7106, 16, 374, 282, 1175, 478, 24705, 1206, 309, 28793, 546, 470, 11981, 687, 282, 2343, 4160, 18, 2326, 1779, 3303, 4269, 6632, 9960, 931, 267, 478, 1659, 446, 262, 17, 1957, 7037, 470, 411, 2107, 294, 2506, 9055, 1734, 510, 20933, 6793, 2422, 16248, 42027, 289, 2615, 6793, 290, 9019, 34740, 1751, 16, 5371, 2523, 9440, 4309, 17, 1957, 21217, 18, 740, 827, 282, 6003, 469, 41046, 15261, 492, 475, 11529, 700, 726, 22930, 473, 348, 3793, 35263, 510, 4843, 27, 6427, 16, 28, 3763, 16, 3560, 21017, 1742, 6793, 541, 5930, 5363, 17, 1957, 19249, 934, 502, 20590, 382, 478, 1659, 446, 262, 17, 1957, 7244, 470, 281, 4778, 8712, 353, 1335, 3502, 460, 936, 16, 942, 2023, 16, 282, 2456, 18728, 298, 18, 3923, 16, 334, 28343, 13553, 2381, 12030, 726, 29575, 1154, 6247, 16365, 7756, 510, 329, 1710, 4843, 8066, 28, 16, 27, 3763, 16, 367, 329, 478, 983, 5353, 4111, 1279, 30698, 4111, 470, 639, 4843, 23, 3161, 16, 23, 3763, 282, 4145, 1045, 18, 824, 18583, 13553, 2381, 478, 1659, 446, 262, 17, 1957, 7037, 470, 1055, 10546, 16, 515, 7736, 687, 475, 1500, 575, 478, 983, 5353, 503, 1279, 30698, 4111, 470, 47568, 28, 13040, 16, 24, 3763, 814, 15924, 726, 360, 7618, 18, 22158, 269, 411, 8621, 478, 1659, 446, 262, 17, 1957, 7037, 470, 473, 32008, 13, 999, 1177, 46915, 12776, 282, 2145, 478, 1659, 446, 262, 17, 1957, 7037, 470, 7601, 455, 4843, 2479, 16, 21, 3763, 289, 18472, 3303, 4367, 1756, 18, 439, 11346, 7416, 3609, 17, 25, 13279, 13006, 354, 23912, 6793, 411, 7756, 478, 47162, 915, 37214, 470, 281, 4843, 26, 16, 23, 3763, 18, 478, 20186, 883, 27410, 470, 39172, 30219, 274, 16, 4813, 309, 475, 764, 28071, 35263, 282, 2145, 47568, 21, 1618, 3763, 371, 38204, 282, 4843, 22, 3420, 3763, 934, 10587, 10660, 17338, 282, 28835, 2968, 30, 17437, 11453, 2147, 9756, 1314, 4896, 4843, 6837, 24, 16, 26, 3763, 18, 32310, 16, 2091, 16, 322, 47074, 16, 515, 39677, 19279, 409, 2381, 10846, 3502, 460, 6637, 935, 749, 3554, 6090, 411, 1710, 30219, 274, 510, 1830, 16, 2091, 16, 334, 7413, 281, 4778, 29625, 478, 20186, 883, 27410, 470, 322, 4771, 15172, 16, 1696, 935, 4289, 5487, 478, 47162, 915, 37214, 470, 21648, 11028, 282, 30681, 13006, 464, 4843, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6086, 18, 889, 2438, 15371, 1011, 924, 16, 428, 3785, 35229, 16, 1754, 17845, 3018, 309, 44609, 17, 513, 4474, 16, 26405, 21377, 281, 4761, 4350, 381, 28141, 978, 14439, 282, 726, 27636, 18525, 25075, 668, 18, 13191, 2241, 322, 438, 1041, 3616, 18, 999, 46915, 12776, 281, 1409, 334, 1658, 4209, 3655, 478, 24461, 17, 513, 1285, 470, 28474, 282, 2145, 4843, 21, 3420, 3763, 289, 12307, 7015, 1756, 282, 33937, 44137, 17, 7355, 409, 18, 365, 10209, 16, 478, 47045, 2357, 3977, 470, 2955, 16, 4213, 16, 6532, 1965, 1588, 18893, 536, 478, 1386, 1431, 9125, 470, 978, 27734, 282, 7782, 2305, 15580, 349, 4101, 3142, 1664, 275, 713, 2127, 11334, 18, 11474, 16, 481, 6793, 396, 33001, 4874, 17777, 281, 26287, 294, 2506, 9055, 1734, 4761, 4350, 510, 282, 25097, 912, 16, 3057, 21472, 478, 38877, 501, 451, 1135, 470, 10512, 273, 473, 37450, 1359, 981, 272, 307, 17, 39121, 934, 1029, 26525, 1211, 349, 27508, 966, 9215, 304, 17, 513, 272, 635, 473, 6568, 17, 7745, 9778, 5990, 9065, 6047, 25408, 2645, 5583, 46307, 428, 8777, 6057, 18, 740, 282, 5329, 1373, 475, 16, 428, 7239, 282, 1664, 275, 713, 933, 6632, 9960, 931, 4330, 8508, 1612, 16, 961, 2697, 322, 25009, 294, 9044, 1075, 16, 510, 9019, 34740, 265, 16, 9019, 288, 3704, 33729, 289, 764, 2197, 30263, 4090, 2422, 16, 1029, 30552, 6911, 32290, 1013, 282, 1176, 3084, 970, 18, 5890, 1314, 6218, 16, 374, 478, 47045, 2357, 3977, 470, 5121, 36986, 18, 1591, 1514, 2968, 505, 35263, 282, 2615, 46915, 12776, 19967, 4843, 4691, 27, 3763, 473, 960, 45439, 17, 21325, 356, 547, 38204, 5102, 282, 1175, 16, 3057, 16, 492, 41532, 281, 4183, 2223, 289, 281, 7953, 758, 13553, 2661, 282, 11281, 25, 3763, 2791, 18, 824, 2411, 8317, 11453, 4762, 282, 2145, 6793, 12307, 13379, 27548, 1756, 282, 294, 2506, 9055, 1734, 16, 289, 329, 1047, 912, 18014, 16, 753, 14062, 282, 6031, 6842, 26193, 32023, 18, 45598, 16, 374, 360, 8621, 1329, 10049, 322, 23653, 510, 4889, 25293, 33843, 18604, 4110, 16, 374, 3655, 478, 24461, 17, 513, 1285, 470, 719, 15946, 282, 2145, 360, 4843, 7181, 3763, 519, 4843, 37992, 3763, 16, 38699, 906, 26538, 289, 309, 45263, 47568, 5737, 3763, 13, 510, 453, 374, 1441, 475, 282, 35229, 289, 4761, 4350, 478, 19696, 19042, 44533, 910, 334, 3163, 6677, 36926, 35229, 10167, 669, 22982, 30058, 18, 31312, 6793, 290, 9215, 263, 17, 513, 272, 582, 282, 4301, 1664, 275, 713, 680, 294, 2506, 9055, 1734, 19988, 282, 26155, 1045, 18, 12467, 8332, 2223, 282, 4056, 30019, 582, 17670, 414, 4439, 936, 19163, 8560, 16, 726, 3286, 2508, 965, 281, 3453, 19621, 1963, 18, 478, 1009, 1117, 1270, 417, 816, 470, 473, 40, 14276, 658, 4904, 14433, 816, 16, 7847, 13, 24605, 1756, 28774, 26914, 597, 478, 1009, 1117, 1270, 417, 816, 910, 45828, 12640, 349, 46915, 12776, 4843, 7751, 3763, 18, 22358, 473, 551, 968, 16, 20933, 510, 281, 9752, 19136, 17, 21131, 264, 478, 780, 15591, 2899, 9979, 6793, 7756, 290, 9019, 288, 3704, 1674, 528, 2243, 289, 505, 22165, 2466, 726, 28474, 567, 1514, 2968, 4843, 8400, 27, 16, 25, 3763, 289, 29362, 9737, 18204, 1595, 6459, 17, 21325, 32081, 7143, 18, 640, 1335, 11056, 349, 13952, 2145, 505, 35263, 5823, 1472, 2500, 4803, 16, 828, 329, 478, 1659, 8446, 343, 17, 513, 4474, 470, 510, 4843, 4234, 29, 3763, 1279, 4843, 3940, 20, 3763, 16, 6793, 2780, 281, 11529, 347, 13006, 354, 282, 15770, 47568, 11559, 3763, 934, 367, 282, 1175, 2838, 289, 12307, 11464, 1756, 16, 515, 10016, 310, 41728, 668, 2581, 454, 473, 275, 42858, 16, 9121, 814, 12250, 263, 1756, 282, 44137, 17, 7355, 409, 2145, 329, 8736, 343, 7009, 25636, 8860, 354, 478, 24705, 1206, 309, 28793, 546, 861, 640, 1967, 27766, 6793, 17379, 4843, 2783, 16, 28, 3763, 289, 2558, 310, 16737, 49253, 519, 4843, 6695, 16, 28, 3763, 510, 371, 38204, 282, 4843, 7751, 3763, 481, 3872, 30747, 6441, 18, 7106, 16, 374, 282, 1175, 478, 24705, 1206, 309, 28793, 546, 470, 11981, 687, 282, 2343, 4160, 18, 2326, 1779, 3303, 4269, 6632, 9960, 931, 267, 478, 1659, 446, 262, 17, 1957, 7037, 470, 411, 2107, 294, 2506, 9055, 1734, 510, 20933, 6793, 2422, 16248, 42027, 289, 2615, 6793, 290, 9019, 34740, 1751, 16, 5371, 2523, 9440, 4309, 17, 1957, 21217, 18, 740, 827, 282, 6003, 469, 41046, 15261, 492, 475, 11529, 700, 726, 22930, 473, 348, 3793, 35263, 510, 4843, 27, 6427, 16, 28, 3763, 16, 3560, 21017, 1742, 6793, 541, 5930, 5363, 17, 1957, 19249, 934, 502, 20590, 382, 478, 1659, 446, 262, 17, 1957, 7244, 470, 281, 4778, 8712, 353, 1335, 3502, 460, 936, 16, 942, 2023, 16, 282, 2456, 18728, 298, 18, 3923, 16, 334, 28343, 13553, 2381, 12030, 726, 29575, 1154, 6247, 16365, 7756, 510, 329, 1710, 4843, 8066, 28, 16, 27, 3763, 16, 367, 329, 478, 983, 5353, 4111, 1279, 30698, 4111, 470, 639, 4843, 23, 3161, 16, 23, 3763, 282, 4145, 1045, 18, 824, 18583, 13553, 2381, 478, 1659, 446, 262, 17, 1957, 7037, 470, 1055, 10546, 16, 515, 7736, 687, 475, 1500, 575, 478, 983, 5353, 503, 1279, 30698, 4111, 470, 47568, 28, 13040, 16, 24, 3763, 814, 15924, 726, 360, 7618, 18, 22158, 269, 411, 8621, 478, 1659, 446, 262, 17, 1957, 7037, 470, 473, 32008, 13, 999, 1177, 46915, 12776, 282, 2145, 478, 1659, 446, 262, 17, 1957, 7037, 470, 7601, 455, 4843, 2479, 16, 21, 3763, 289, 18472, 3303, 4367, 1756, 18, 439, 11346, 7416, 3609, 17, 25, 13279, 13006, 354, 23912, 6793, 411, 7756, 478, 47162, 915, 37214, 470, 281, 4843, 26, 16, 23, 3763, 18, 478, 20186, 883, 27410, 470, 39172, 30219, 274, 16, 4813, 309, 475, 764, 28071, 35263, 282, 2145, 47568, 21, 1618, 3763, 371, 38204, 282, 4843, 22, 3420, 3763, 934, 10587, 10660, 17338, 282, 28835, 2968, 30, 17437, 11453, 2147, 9756, 1314, 4896, 4843, 6837, 24, 16, 26, 3763, 18, 32310, 16, 2091, 16, 322, 47074, 16, 515, 39677, 19279, 409, 2381, 10846, 3502, 460, 6637, 935, 749, 3554, 6090, 411, 1710, 30219, 274, 510, 1830, 16, 2091, 16, 334, 7413, 281, 4778, 29625, 478, 20186, 883, 27410, 470, 322, 4771, 15172, 16, 1696, 935, 4289, 5487, 478, 47162, 915, 37214, 470, 21648, 11028, 282, 30681, 13006, 464, 4843, 27 ]
[ 2479, 3763, 16, 367, 639, 481, 4705, 986, 2158, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 39309, 7316, 286, 19048, 16, 16435, 20359, 13257, 289, 38843, 2241, 9727, 4138, 475, 3531, 13347, 1133, 39625, 2969, 48931, 395, 1082, 18, 824, 11346, 2987, 11630, 16, 481, 8350, 11534, 21398, 3400, 14576, 281, 12070, 1003, 1636, 2596, 24792, 6759, 9305, 10547, 18, 28616, 6881, 16, 374, 9727, 2357, 13289, 2634, 5642, 29672, 4496, 30105, 2661, 8249, 1561, 2640, 334, 30810, 304, 5581, 277, 289, 322, 6058, 3748, 1820, 434, 12724, 309, 25956, 14576, 617, 18, 14122, 17730, 4490, 19516, 6517, 14704, 309, 48115, 8159, 296, 12058, 477, 1963, 13257, 21702, 30, 827, 1568, 840, 18566, 16, 2969, 48931, 395, 523, 4128, 13449, 309, 8241, 5752, 2791, 282, 1205, 18, 31224, 30, 789, 17587, 6325, 16, 17519, 2024, 1623, 3203, 12760, 718, 7920, 334, 3357, 8546, 3720, 25414, 1624, 6181, 309, 3614, 16934, 282, 11946, 7760, 18, 9584, 6087, 2975, 14782, 3814, 1086, 2969, 48931, 395, 1082, 13347, 1133, 39625, 18, 967, 1184, 7924, 3151, 294, 19063, 28614, 542, 289, 3814, 11646, 6874, 5036, 761, 16, 2319, 1943, 1771, 319, 10383, 18, 1178, 1500, 1188, 4856, 761, 322, 12514, 481, 670, 282, 505, 7570, 840, 3482, 506, 23731, 16, 9325, 1139, 322, 5709, 484, 18, 478, 684, 30790, 14791, 8578, 32352, 309, 3424, 8712, 4851, 282, 14255, 309, 2923, 1175, 38843, 3674, 13772, 360, 2223, 697, 16058, 16, 20074, 16871, 294, 19084, 277, 421, 22, 289, 421, 1295, 16, 510, 5130, 282, 16152, 6325, 18, 510, 824, 18690, 37802, 18984, 4076, 2969, 48931, 395, 382, 1698, 953, 17626, 309, 38843, 3674, 16, 20074, 16871, 294, 17672, 19084, 277, 861, 403, 9044, 860, 22, 289, 860, 23, 10302, 13347, 1133, 39625, 24412, 519, 289, 11476, 1061, 7833, 329, 1639, 1033, 1488, 14041, 5812, 1801, 18, 9584, 6087, 2975, 20165, 13742, 282, 2100, 17703, 835, 309, 1272, 779, 541, 16979, 16, 6022, 1081, 349, 21929, 4621, 282, 9124, 2969, 48931, 395, 343, 18, 478, 37653, 839, 9868, 31465, 2969, 48931, 395, 368, 1747, 8374, 506, 322, 687, 10556, 304, 541, 16979, 16, 515, 289, 810, 426, 9229, 349, 1807, 12435, 541, 7462, 4173, 18, 40223, 309, 13696, 25397, 3674, 16, 322, 3814, 291, 5540, 478, 300, 48931, 395, 635, 910, 810, 426, 1349, 349, 1807, 10556, 282, 9802, 3610, 2634, 2791, 910, 510, 4725, 5184, 6325, 18, 999, 44671, 294, 24889, 9325, 304, 16979, 16, 322, 46075, 529, 1532, 267, 1742, 30633, 28789, 2988, 42571, 282, 4349, 47648, 37010, 16, 22083, 13619, 1855, 2993, 8340, 3247, 10556, 304, 282, 9802, 1939, 2634, 2791, 18, 640, 1939, 2634, 2791, 541, 28485, 1562, 289, 1156, 2634, 2791, 541, 19067, 1562, 22083, 10556, 1086, 349, 35550, 3162, 5842, 19335, 334, 3320, 529, 1532, 267, 1385, 1962, 42957, 483, 16, 334, 27469, 31114, 19669, 7925, 10547, 16, 367, 1038, 334, 25519, 309, 6105, 272, 4330, 6457, 432, 15297, 18, 9753, 6325, 29230, 16, 374, 4498, 3419, 322, 2036, 1209, 6105, 272, 4330, 16, 367, 1472, 290, 1110, 16, 961, 1747, 8712, 506, 670, 25903, 1920, 282, 6551, 1011, 505, 13595, 18, 478, 1140, 35609, 6457, 432, 15297, 6836, 309, 3424, 8712, 4851, 282, 14255, 309, 2923, 1175, 38843, 3674, 16, 8350, 6330, 16, 749, 36073, 15901, 17356, 477, 1963, 1562, 16, 19393, 1587, 13347, 1133, 21265, 16, 49357, 32830, 13419, 289, 11509, 4892, 505, 5616, 758, 13409, 16, 11584, 938, 5056, 6457, 758, 8578, 353, 910, 510, 5301, 25414, 282, 25223, 18, 1192, 5422, 6946, 10064, 13595, 35216, 16, 5184, 4601, 1788, 16, 374, 13022, 478, 300, 48931, 395, 368, 910, 367, 1038, 10064, 9588, 8689, 21702, 1055, 1745, 322, 7961, 1007, 282, 19862, 45832, 18, 478, 3693, 42094, 4018, 1205, 309, 2923, 1175, 639, 34320, 1912, 1488, 10164, 13305, 16, 46496, 1240, 5326, 282, 4349, 37010, 18, 889, 309, 1032, 16, 28, 5315, 1143, 16, 828, 282, 4440, 1045, 18, 3791, 898, 10750, 6025, 13228, 3594, 5616, 758, 13409, 282, 4349, 47648, 37010, 1240, 5326, 6759, 7113, 11305, 16, 36545, 289, 31319, 36545, 18, 832, 486, 10913, 33615, 2548, 290, 5941, 13595, 13840, 2559, 334, 27469, 3623, 2954, 1175, 510, 6367, 21454, 4202, 910, 510, 2548, 11309, 18, 14122, 17730, 4651, 31974, 26363, 2815, 478, 46088, 18, 8381, 910, 374, 33371, 11630, 840, 6494, 5114, 798, 18, 478, 22235, 6332, 39767, 16, 510, 1109, 492, 18, 510, 12660, 16, 827, 5134, 1568, 282, 1228, 6237, 16, 11630, 1698, 47620, 282, 8159, 296, 31788, 861, 12280, 8097, 16, 374, 7072, 2969, 48931, 395, 523, 3525, 31062, 4164, 289, 895, 25705, 360, 1939, 519, 5953, 2634, 2791, 16, 367, 3891, 289, 1143, 18, 365, 18872, 10731, 16, 988, 764, 282, 4479, 1045, 282, 4666, 20054, 475, 46746, 39625, 3814, 3637, 34022, 30105, 2661, 16, 17510, 4286, 2036, 44104, 282, 7640, 2634, 2791, 18, 5454, 16, 1717, 411, 17, 431, 7773, 5995, 22822, 2969, 48931, 395, 523, 428, 5429, 322, 29039, 697, 6134, 309, 1634, 25713, 16, 5029, 8568, 1139, 24902, 1855, 475, 14125, 1360, 6340, 18, 824, 22573, 3761, 16, 282, 6104, 1045, 639, 4460, 1569, 17185, 16, 8914, 4500, 18, 36545, 16, 367, 282, 803, 697, 8357, 895, 2842, 400, 519, 15593, 2634, 18, 4149, 11800, 3741, 36545, 16172, 9465, 4973, 49661, 2634, 16482, 18, 5333, 2175, 16, 20495, 13257, 289, 18984, 6271, 309, 9202, 36545, 2969, 48931, 395, 1082, 1698, 16172, 9465, 4050, 6842, 4868, 2791, 18, 415, 2592, 9654, 481, 4128, 9771, 31117, 30, 4823, 2764, 281, 11462, 745, 322, 1698, 16, 453, 428, 37673, 309, 21265, 23721, 7590, 8394, 17719, 18, 37729, 2236, 411, 5781, 18984, 477, 25560, 16, 1904, 13877, 281, 9325, 758, 7462, 1082, 16, 5273, 16, 374, 541, 29969, 2188, 434, 20961, 2969, 48931, 395, 523, 1139, 1003, 19872, 19961, 18, 478, 992, 452, 4581, 16, 687, 334, 22573, 3761, 16, 282, 1175, 309, 6105, 272, 4330, 7462, 847, 2511, 16, 25, 5096, 11462, 16, 510, 3828, 492, 478, 46088, 18, 8381, 861, 510, 889, 5024, 8308, 49050, 1624, 961, 3744, 2625, 687, 11583, 2241, 281, 1053, 635, 1033, 828, 282, 1939, 5642, 18, 1895, 2110, 575, 4982, 895, 25705, 1281, 5096, 11462, 18, 439, 5018, 1344, 349, 1177, 575, 1205, 282, 13305, 281, 12070, 36545, 16, 5938, 19665, 3756, 1028, 3756, 3286, 10091, 16, 7431, 2123, 28, 1135, 18, 365, 7842, 575, 13305, 16172, 5018, 1344, 4039, 2634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2479, 3763, 16, 367, 639, 481, 4705, 986, 2158, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 39309, 7316, 286, 19048, 16, 16435, 20359, 13257, 289, 38843, 2241, 9727, 4138, 475, 3531, 13347, 1133, 39625, 2969, 48931, 395, 1082, 18, 824, 11346, 2987, 11630, 16, 481, 8350, 11534, 21398, 3400, 14576, 281, 12070, 1003, 1636, 2596, 24792, 6759, 9305, 10547, 18, 28616, 6881, 16, 374, 9727, 2357, 13289, 2634, 5642, 29672, 4496, 30105, 2661, 8249, 1561, 2640, 334, 30810, 304, 5581, 277, 289, 322, 6058, 3748, 1820, 434, 12724, 309, 25956, 14576, 617, 18, 14122, 17730, 4490, 19516, 6517, 14704, 309, 48115, 8159, 296, 12058, 477, 1963, 13257, 21702, 30, 827, 1568, 840, 18566, 16, 2969, 48931, 395, 523, 4128, 13449, 309, 8241, 5752, 2791, 282, 1205, 18, 31224, 30, 789, 17587, 6325, 16, 17519, 2024, 1623, 3203, 12760, 718, 7920, 334, 3357, 8546, 3720, 25414, 1624, 6181, 309, 3614, 16934, 282, 11946, 7760, 18, 9584, 6087, 2975, 14782, 3814, 1086, 2969, 48931, 395, 1082, 13347, 1133, 39625, 18, 967, 1184, 7924, 3151, 294, 19063, 28614, 542, 289, 3814, 11646, 6874, 5036, 761, 16, 2319, 1943, 1771, 319, 10383, 18, 1178, 1500, 1188, 4856, 761, 322, 12514, 481, 670, 282, 505, 7570, 840, 3482, 506, 23731, 16, 9325, 1139, 322, 5709, 484, 18, 478, 684, 30790, 14791, 8578, 32352, 309, 3424, 8712, 4851, 282, 14255, 309, 2923, 1175, 38843, 3674, 13772, 360, 2223, 697, 16058, 16, 20074, 16871, 294, 19084, 277, 421, 22, 289, 421, 1295, 16, 510, 5130, 282, 16152, 6325, 18, 510, 824, 18690, 37802, 18984, 4076, 2969, 48931, 395, 382, 1698, 953, 17626, 309, 38843, 3674, 16, 20074, 16871, 294, 17672, 19084, 277, 861, 403, 9044, 860, 22, 289, 860, 23, 10302, 13347, 1133, 39625, 24412, 519, 289, 11476, 1061, 7833, 329, 1639, 1033, 1488, 14041, 5812, 1801, 18, 9584, 6087, 2975, 20165, 13742, 282, 2100, 17703, 835, 309, 1272, 779, 541, 16979, 16, 6022, 1081, 349, 21929, 4621, 282, 9124, 2969, 48931, 395, 343, 18, 478, 37653, 839, 9868, 31465, 2969, 48931, 395, 368, 1747, 8374, 506, 322, 687, 10556, 304, 541, 16979, 16, 515, 289, 810, 426, 9229, 349, 1807, 12435, 541, 7462, 4173, 18, 40223, 309, 13696, 25397, 3674, 16, 322, 3814, 291, 5540, 478, 300, 48931, 395, 635, 910, 810, 426, 1349, 349, 1807, 10556, 282, 9802, 3610, 2634, 2791, 910, 510, 4725, 5184, 6325, 18, 999, 44671, 294, 24889, 9325, 304, 16979, 16, 322, 46075, 529, 1532, 267, 1742, 30633, 28789, 2988, 42571, 282, 4349, 47648, 37010, 16, 22083, 13619, 1855, 2993, 8340, 3247, 10556, 304, 282, 9802, 1939, 2634, 2791, 18, 640, 1939, 2634, 2791, 541, 28485, 1562, 289, 1156, 2634, 2791, 541, 19067, 1562, 22083, 10556, 1086, 349, 35550, 3162, 5842, 19335, 334, 3320, 529, 1532, 267, 1385, 1962, 42957, 483, 16, 334, 27469, 31114, 19669, 7925, 10547, 16, 367, 1038, 334, 25519, 309, 6105, 272, 4330, 6457, 432, 15297, 18, 9753, 6325, 29230, 16, 374, 4498, 3419, 322, 2036, 1209, 6105, 272, 4330, 16, 367, 1472, 290, 1110, 16, 961, 1747, 8712, 506, 670, 25903, 1920, 282, 6551, 1011, 505, 13595, 18, 478, 1140, 35609, 6457, 432, 15297, 6836, 309, 3424, 8712, 4851, 282, 14255, 309, 2923, 1175, 38843, 3674, 16, 8350, 6330, 16, 749, 36073, 15901, 17356, 477, 1963, 1562, 16, 19393, 1587, 13347, 1133, 21265, 16, 49357, 32830, 13419, 289, 11509, 4892, 505, 5616, 758, 13409, 16, 11584, 938, 5056, 6457, 758, 8578, 353, 910, 510, 5301, 25414, 282, 25223, 18, 1192, 5422, 6946, 10064, 13595, 35216, 16, 5184, 4601, 1788, 16, 374, 13022, 478, 300, 48931, 395, 368, 910, 367, 1038, 10064, 9588, 8689, 21702, 1055, 1745, 322, 7961, 1007, 282, 19862, 45832, 18, 478, 3693, 42094, 4018, 1205, 309, 2923, 1175, 639, 34320, 1912, 1488, 10164, 13305, 16, 46496, 1240, 5326, 282, 4349, 37010, 18, 889, 309, 1032, 16, 28, 5315, 1143, 16, 828, 282, 4440, 1045, 18, 3791, 898, 10750, 6025, 13228, 3594, 5616, 758, 13409, 282, 4349, 47648, 37010, 1240, 5326, 6759, 7113, 11305, 16, 36545, 289, 31319, 36545, 18, 832, 486, 10913, 33615, 2548, 290, 5941, 13595, 13840, 2559, 334, 27469, 3623, 2954, 1175, 510, 6367, 21454, 4202, 910, 510, 2548, 11309, 18, 14122, 17730, 4651, 31974, 26363, 2815, 478, 46088, 18, 8381, 910, 374, 33371, 11630, 840, 6494, 5114, 798, 18, 478, 22235, 6332, 39767, 16, 510, 1109, 492, 18, 510, 12660, 16, 827, 5134, 1568, 282, 1228, 6237, 16, 11630, 1698, 47620, 282, 8159, 296, 31788, 861, 12280, 8097, 16, 374, 7072, 2969, 48931, 395, 523, 3525, 31062, 4164, 289, 895, 25705, 360, 1939, 519, 5953, 2634, 2791, 16, 367, 3891, 289, 1143, 18, 365, 18872, 10731, 16, 988, 764, 282, 4479, 1045, 282, 4666, 20054, 475, 46746, 39625, 3814, 3637, 34022, 30105, 2661, 16, 17510, 4286, 2036, 44104, 282, 7640, 2634, 2791, 18, 5454, 16, 1717, 411, 17, 431, 7773, 5995, 22822, 2969, 48931, 395, 523, 428, 5429, 322, 29039, 697, 6134, 309, 1634, 25713, 16, 5029, 8568, 1139, 24902, 1855, 475, 14125, 1360, 6340, 18, 824, 22573, 3761, 16, 282, 6104, 1045, 639, 4460, 1569, 17185, 16, 8914, 4500, 18, 36545, 16, 367, 282, 803, 697, 8357, 895, 2842, 400, 519, 15593, 2634, 18, 4149, 11800, 3741, 36545, 16172, 9465, 4973, 49661, 2634, 16482, 18, 5333, 2175, 16, 20495, 13257, 289, 18984, 6271, 309, 9202, 36545, 2969, 48931, 395, 1082, 1698, 16172, 9465, 4050, 6842, 4868, 2791, 18, 415, 2592, 9654, 481, 4128, 9771, 31117, 30, 4823, 2764, 281, 11462, 745, 322, 1698, 16, 453, 428, 37673, 309, 21265, 23721, 7590, 8394, 17719, 18, 37729, 2236, 411, 5781, 18984, 477, 25560, 16, 1904, 13877, 281, 9325, 758, 7462, 1082, 16, 5273, 16, 374, 541, 29969, 2188, 434, 20961, 2969, 48931, 395, 523, 1139, 1003, 19872, 19961, 18, 478, 992, 452, 4581, 16, 687, 334, 22573, 3761, 16, 282, 1175, 309, 6105, 272, 4330, 7462, 847, 2511, 16, 25, 5096, 11462, 16, 510, 3828, 492, 478, 46088, 18, 8381, 861, 510, 889, 5024, 8308, 49050, 1624, 961, 3744, 2625, 687, 11583, 2241, 281, 1053, 635, 1033, 828, 282, 1939, 5642, 18, 1895, 2110, 575, 4982, 895, 25705, 1281, 5096, 11462, 18, 439, 5018, 1344, 349, 1177, 575, 1205, 282, 13305, 281, 12070, 36545, 16, 5938, 19665, 3756, 1028, 3756, 3286, 10091, 16, 7431, 2123, 28, 1135, 18, 365, 7842, 575, 13305, 16172, 5018, 1344, 4039, 2634 ]
[ 1135, 16, 502, 912, 16, 334, 8331, 16, 3860, 281, 7331, 758, 1240, 5326, 36545, 16, 827, 16950, 309, 4982, 32534, 16, 282, 4008, 1003, 18, 824, 3163, 34361, 16, 34758, 2969, 48931, 395, 523, 11534, 1561, 2640, 334, 30810, 304, 5581, 353, 16, 1639, 349, 4101, 3142, 289, 453, 16435, 414, 25840, 309, 39625, 6138, 528, 48349, 5956, 16, 46508, 4397, 276, 16, 367, 1038, 4533, 1086, 4286, 7462, 13928, 38276, 18, 478, 6161, 745, 453, 772, 454, 1463, 290, 3623, 11462, 16, 502, 2006, 6696, 3814, 1086, 687, 3531, 39625, 35, 510, 31907, 1211, 18290, 478, 32485, 18, 8381, 861, 510, 3510, 4498, 282, 803, 1750, 3419, 290, 4335, 2045, 25185, 1910, 12429, 16482, 16, 367, 1223, 329, 813, 282, 4008, 334, 34526, 45180, 1658, 3324, 2634, 36545, 18, 7330, 912, 14472, 670, 28362, 16, 374, 37417, 7842, 36545, 2697, 2820, 21870, 3461, 349, 21929, 18925, 6545, 35, 5227, 329, 11630, 1851, 17, 299, 17837, 3149, 18, 9857, 8206, 16, 374, 745, 1139, 41043, 4364, 10855, 13257, 1967, 21702, 861, 28186, 7920, 334, 3357, 8546, 18164, 10872, 478, 18780, 4607, 1175, 470, 6070, 688, 8650, 14444, 5273, 16, 374, 1978, 1453, 11919, 1183, 353, 7272, 1698, 4142, 5634, 2310, 1777, 506, 309, 42529, 3623, 18, 478, 4441, 25891, 3003, 16, 3964, 322, 1494, 15486, 2510, 5394, 13295, 1519, 5296, 16979, 16, 367, 1373, 840, 50200, 46025, 15989, 349, 21929, 282, 4349, 47648, 37010, 670, 281, 505, 1990, 1825, 758, 1008, 13242, 18, 985, 10201, 15713, 7426, 986, 16, 7331, 448, 37417, 2458, 316, 1447, 304, 3338, 3512, 910, 510, 4848, 478, 46088, 18, 8381, 470, 688, 8650, 14444, 18, 640, 1247, 290, 970, 16, 282, 828, 895, 953, 16432, 2969, 48931, 395, 523, 1188, 45221, 529, 1532, 267, 2509, 39472, 620, 16, 12189, 4848, 16, 374, 2733, 2175, 840, 5295, 286, 294, 46878, 478, 13192, 2403, 20251, 861, 478, 6039, 587, 1369, 318, 16, 961, 10924, 16, 1494, 942, 11927, 18, 4406, 13022, 478, 13192, 2403, 20251, 910, 912, 13022, 478, 43623, 21099, 20251, 861, 385, 478, 13192, 4118, 26788, 470, 1247, 8940, 942, 16, 367, 281, 10206, 4118, 510, 1745, 910, 510, 4848, 688, 8650, 14444, 18, 478, 4408, 7711, 272, 15204, 12588, 481, 36133, 14131, 1561, 2640, 16, 515, 329, 1129, 912, 4753, 13376, 924, 16, 374, 1177, 6457, 1943, 953, 2490, 2306, 16, 3387, 1671, 1080, 971, 4128, 11558, 2483, 1147, 9161, 510, 41596, 2241, 910, 510, 5692, 12189, 18, 478, 4441, 13302, 44830, 25433, 282, 8384, 281, 17948, 1518, 349, 23010, 16, 515, 371, 23587, 19354, 13770, 5738, 290, 970, 16, 374, 17510, 4760, 4076, 20998, 687, 309, 39625, 16, 961, 1747, 4460, 1007, 670, 13046, 501, 1007, 1011, 505, 13595, 16, 38588, 879, 8866, 840, 1820, 286, 1472, 1248, 1293, 986, 18, 8276, 282, 15209, 16, 988, 9325, 451, 12773, 895, 322, 31041, 334, 1269, 986, 18, 2876, 639, 373, 18940, 3007, 1507, 23171, 21743, 16, 3057, 16, 8928, 979, 19887, 8390, 477, 1963, 7462, 4764, 16, 376, 2815, 478, 46088, 18, 8381, 470, 6187, 15352, 3281, 289, 36926, 2241, 478, 11636, 6305, 1214, 755, 470, 20473, 14272, 487, 778, 18, 376, 385, 2107, 1963, 42588, 541, 7462, 4764, 282, 3610, 2634, 2791, 3848, 33150, 1007, 309, 25376, 539, 15369, 3162, 16979, 16, 2700, 460, 2822, 1568, 16, 828, 309, 11506, 12289, 5473, 9870, 861, 2, 1, 87, 1456, 81, 2448, 30, 3693, 2163, 742, 14928, 718, 478, 618, 1736, 47900, 470, 14179, 4025, 379, 301, 2815, 16, 374, 322, 2946, 381, 3182, 281, 322, 806, 761, 282, 18823, 1728, 22691, 30514, 6001, 1042, 1043, 16, 10618, 1870, 15011, 20173, 14403, 16, 374, 6317, 9158, 272, 282, 18823, 16, 367, 10618, 29308, 4848, 16, 374, 282, 10434, 1003, 7767, 291, 7244, 18, 31224, 30, 563, 1553, 1011, 20864, 28253, 478, 618, 1736, 47900, 470, 289, 7342, 1175, 40896, 4025, 379, 669, 22062, 24136, 13202, 1519, 6730, 281, 505, 31105, 9838, 547, 6001, 1042, 26550, 16, 1029, 4011, 373, 13204, 45237, 309, 3191, 16, 515, 322, 3404, 978, 16, 2686, 764, 567, 12241, 685, 7316, 286, 2200, 29709, 282, 6656, 34698, 5856, 18, 478, 1659, 12774, 4538, 16, 2946, 16, 374, 329, 30514, 906, 4136, 17, 299, 29557, 16, 2686, 322, 2060, 16, 374, 11730, 1011, 924, 16, 428, 417, 9031, 309, 478, 27064, 283, 8460, 28604, 910, 510, 1109, 4025, 379, 301, 18, 651, 1367, 28835, 583, 6851, 687, 1800, 18, 13758, 28009, 6018, 549, 18, 5309, 12861, 306, 6001, 1042, 28499, 289, 475, 329, 1047, 27880, 18, 832, 3813, 373, 16, 753, 505, 5689, 23305, 4110, 18, 817, 1176, 411, 13764, 16, 289, 520, 20009, 505, 10552, 22979, 17, 21131, 639, 373, 25737, 861, 478, 5801, 5327, 703, 16, 502, 417, 1494, 281, 14224, 36485, 306, 282, 18823, 16, 510, 2815, 492, 18, 651, 832, 47139, 687, 282, 970, 1750, 16, 827, 322, 2447, 10916, 309, 16857, 1165, 670, 5155, 3724, 8831, 411, 17, 431, 17336, 861, 4025, 379, 301, 1038, 23081, 2200, 23669, 290, 970, 16, 374, 282, 20541, 12903, 322, 24182, 282, 505, 3941, 4744, 820, 289, 282, 502, 16, 374, 492, 42931, 1114, 15513, 632, 280, 1569, 5835, 394, 411, 478, 20181, 31799, 861, 478, 13002, 30222, 48472, 294, 1190, 670, 38799, 3666, 2419, 651, 417, 773, 475, 25464, 910, 510, 35011, 16, 5692, 14179, 18, 9300, 12954, 29565, 10618, 1870, 15011, 20173, 6317, 2222, 16, 374, 1858, 4167, 282, 7342, 18, 478, 11233, 1494, 7946, 9737, 3124, 282, 18081, 7342, 4966, 16, 510, 1109, 492, 18, 651, 1735, 16, 22055, 18, 17944, 329, 813, 478, 4379, 379, 910, 5475, 478, 1697, 861, 365, 4784, 16, 40022, 34444, 21238, 861, 20466, 16, 374, 18749, 309, 21796, 564, 16, 7581, 20447, 309, 478, 618, 987, 263, 1345, 345, 731, 861, 478, 1098, 383, 1373, 17442, 18, 889, 939, 14370, 857, 910, 510, 1109, 492, 18, 5661, 14945, 2422, 2496, 10514, 432, 3541, 10618, 29308, 1011, 20864, 685, 309, 2423, 41555, 18, 11561, 16726, 6951, 289, 3845, 11990, 22062, 21073, 505, 8585, 1229, 344, 11168, 18, 478, 1358, 1494, 2259, 14833, 16, 687, 784, 282, 5975, 808, 5435, 530, 2006, 17, 299, 726, 349, 31566, 16, 510, 4255, 1475, 492, 18, 651, 12001, 7972, 16, 417, 1320, 3027, 23233, 18, 365, 9681, 4753, 808, 25303, 306, 281, 8980, 861, 824, 3163, 18061, 16, 23822, 282, 37870, 289, 4056, 7342 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1135, 16, 502, 912, 16, 334, 8331, 16, 3860, 281, 7331, 758, 1240, 5326, 36545, 16, 827, 16950, 309, 4982, 32534, 16, 282, 4008, 1003, 18, 824, 3163, 34361, 16, 34758, 2969, 48931, 395, 523, 11534, 1561, 2640, 334, 30810, 304, 5581, 353, 16, 1639, 349, 4101, 3142, 289, 453, 16435, 414, 25840, 309, 39625, 6138, 528, 48349, 5956, 16, 46508, 4397, 276, 16, 367, 1038, 4533, 1086, 4286, 7462, 13928, 38276, 18, 478, 6161, 745, 453, 772, 454, 1463, 290, 3623, 11462, 16, 502, 2006, 6696, 3814, 1086, 687, 3531, 39625, 35, 510, 31907, 1211, 18290, 478, 32485, 18, 8381, 861, 510, 3510, 4498, 282, 803, 1750, 3419, 290, 4335, 2045, 25185, 1910, 12429, 16482, 16, 367, 1223, 329, 813, 282, 4008, 334, 34526, 45180, 1658, 3324, 2634, 36545, 18, 7330, 912, 14472, 670, 28362, 16, 374, 37417, 7842, 36545, 2697, 2820, 21870, 3461, 349, 21929, 18925, 6545, 35, 5227, 329, 11630, 1851, 17, 299, 17837, 3149, 18, 9857, 8206, 16, 374, 745, 1139, 41043, 4364, 10855, 13257, 1967, 21702, 861, 28186, 7920, 334, 3357, 8546, 18164, 10872, 478, 18780, 4607, 1175, 470, 6070, 688, 8650, 14444, 5273, 16, 374, 1978, 1453, 11919, 1183, 353, 7272, 1698, 4142, 5634, 2310, 1777, 506, 309, 42529, 3623, 18, 478, 4441, 25891, 3003, 16, 3964, 322, 1494, 15486, 2510, 5394, 13295, 1519, 5296, 16979, 16, 367, 1373, 840, 50200, 46025, 15989, 349, 21929, 282, 4349, 47648, 37010, 670, 281, 505, 1990, 1825, 758, 1008, 13242, 18, 985, 10201, 15713, 7426, 986, 16, 7331, 448, 37417, 2458, 316, 1447, 304, 3338, 3512, 910, 510, 4848, 478, 46088, 18, 8381, 470, 688, 8650, 14444, 18, 640, 1247, 290, 970, 16, 282, 828, 895, 953, 16432, 2969, 48931, 395, 523, 1188, 45221, 529, 1532, 267, 2509, 39472, 620, 16, 12189, 4848, 16, 374, 2733, 2175, 840, 5295, 286, 294, 46878, 478, 13192, 2403, 20251, 861, 478, 6039, 587, 1369, 318, 16, 961, 10924, 16, 1494, 942, 11927, 18, 4406, 13022, 478, 13192, 2403, 20251, 910, 912, 13022, 478, 43623, 21099, 20251, 861, 385, 478, 13192, 4118, 26788, 470, 1247, 8940, 942, 16, 367, 281, 10206, 4118, 510, 1745, 910, 510, 4848, 688, 8650, 14444, 18, 478, 4408, 7711, 272, 15204, 12588, 481, 36133, 14131, 1561, 2640, 16, 515, 329, 1129, 912, 4753, 13376, 924, 16, 374, 1177, 6457, 1943, 953, 2490, 2306, 16, 3387, 1671, 1080, 971, 4128, 11558, 2483, 1147, 9161, 510, 41596, 2241, 910, 510, 5692, 12189, 18, 478, 4441, 13302, 44830, 25433, 282, 8384, 281, 17948, 1518, 349, 23010, 16, 515, 371, 23587, 19354, 13770, 5738, 290, 970, 16, 374, 17510, 4760, 4076, 20998, 687, 309, 39625, 16, 961, 1747, 4460, 1007, 670, 13046, 501, 1007, 1011, 505, 13595, 16, 38588, 879, 8866, 840, 1820, 286, 1472, 1248, 1293, 986, 18, 8276, 282, 15209, 16, 988, 9325, 451, 12773, 895, 322, 31041, 334, 1269, 986, 18, 2876, 639, 373, 18940, 3007, 1507, 23171, 21743, 16, 3057, 16, 8928, 979, 19887, 8390, 477, 1963, 7462, 4764, 16, 376, 2815, 478, 46088, 18, 8381, 470, 6187, 15352, 3281, 289, 36926, 2241, 478, 11636, 6305, 1214, 755, 470, 20473, 14272, 487, 778, 18, 376, 385, 2107, 1963, 42588, 541, 7462, 4764, 282, 3610, 2634, 2791, 3848, 33150, 1007, 309, 25376, 539, 15369, 3162, 16979, 16, 2700, 460, 2822, 1568, 16, 828, 309, 11506, 12289, 5473, 9870, 861, 2, 1, 87, 1456, 81, 2448, 30, 3693, 2163, 742, 14928, 718, 478, 618, 1736, 47900, 470, 14179, 4025, 379, 301, 2815, 16, 374, 322, 2946, 381, 3182, 281, 322, 806, 761, 282, 18823, 1728, 22691, 30514, 6001, 1042, 1043, 16, 10618, 1870, 15011, 20173, 14403, 16, 374, 6317, 9158, 272, 282, 18823, 16, 367, 10618, 29308, 4848, 16, 374, 282, 10434, 1003, 7767, 291, 7244, 18, 31224, 30, 563, 1553, 1011, 20864, 28253, 478, 618, 1736, 47900, 470, 289, 7342, 1175, 40896, 4025, 379, 669, 22062, 24136, 13202, 1519, 6730, 281, 505, 31105, 9838, 547, 6001, 1042, 26550, 16, 1029, 4011, 373, 13204, 45237, 309, 3191, 16, 515, 322, 3404, 978, 16, 2686, 764, 567, 12241, 685, 7316, 286, 2200, 29709, 282, 6656, 34698, 5856, 18, 478, 1659, 12774, 4538, 16, 2946, 16, 374, 329, 30514, 906, 4136, 17, 299, 29557, 16, 2686, 322, 2060, 16, 374, 11730, 1011, 924, 16, 428, 417, 9031, 309, 478, 27064, 283, 8460, 28604, 910, 510, 1109, 4025, 379, 301, 18, 651, 1367, 28835, 583, 6851, 687, 1800, 18, 13758, 28009, 6018, 549, 18, 5309, 12861, 306, 6001, 1042, 28499, 289, 475, 329, 1047, 27880, 18, 832, 3813, 373, 16, 753, 505, 5689, 23305, 4110, 18, 817, 1176, 411, 13764, 16, 289, 520, 20009, 505, 10552, 22979, 17, 21131, 639, 373, 25737, 861, 478, 5801, 5327, 703, 16, 502, 417, 1494, 281, 14224, 36485, 306, 282, 18823, 16, 510, 2815, 492, 18, 651, 832, 47139, 687, 282, 970, 1750, 16, 827, 322, 2447, 10916, 309, 16857, 1165, 670, 5155, 3724, 8831, 411, 17, 431, 17336, 861, 4025, 379, 301, 1038, 23081, 2200, 23669, 290, 970, 16, 374, 282, 20541, 12903, 322, 24182, 282, 505, 3941, 4744, 820, 289, 282, 502, 16, 374, 492, 42931, 1114, 15513, 632, 280, 1569, 5835, 394, 411, 478, 20181, 31799, 861, 478, 13002, 30222, 48472, 294, 1190, 670, 38799, 3666, 2419, 651, 417, 773, 475, 25464, 910, 510, 35011, 16, 5692, 14179, 18, 9300, 12954, 29565, 10618, 1870, 15011, 20173, 6317, 2222, 16, 374, 1858, 4167, 282, 7342, 18, 478, 11233, 1494, 7946, 9737, 3124, 282, 18081, 7342, 4966, 16, 510, 1109, 492, 18, 651, 1735, 16, 22055, 18, 17944, 329, 813, 478, 4379, 379, 910, 5475, 478, 1697, 861, 365, 4784, 16, 40022, 34444, 21238, 861, 20466, 16, 374, 18749, 309, 21796, 564, 16, 7581, 20447, 309, 478, 618, 987, 263, 1345, 345, 731, 861, 478, 1098, 383, 1373, 17442, 18, 889, 939, 14370, 857, 910, 510, 1109, 492, 18, 5661, 14945, 2422, 2496, 10514, 432, 3541, 10618, 29308, 1011, 20864, 685, 309, 2423, 41555, 18, 11561, 16726, 6951, 289, 3845, 11990, 22062, 21073, 505, 8585, 1229, 344, 11168, 18, 478, 1358, 1494, 2259, 14833, 16, 687, 784, 282, 5975, 808, 5435, 530, 2006, 17, 299, 726, 349, 31566, 16, 510, 4255, 1475, 492, 18, 651, 12001, 7972, 16, 417, 1320, 3027, 23233, 18, 365, 9681, 4753, 808, 25303, 306, 281, 8980, 861, 824, 3163, 18061, 16, 23822, 282, 37870, 289, 4056, 7342 ]
[ 3525, 9858, 18, 478, 18810, 1033, 21705, 8404, 16, 281, 4778, 41498, 16, 289, 475, 1033, 27302, 16, 510, 4725, 492, 18, 651, 415, 1190, 3857, 17259, 360, 14824, 16, 374, 417, 13036, 16, 367, 309, 2463, 417, 575, 764, 1329, 322, 5575, 861, 7022, 4168, 808, 15076, 14450, 16, 374, 329, 44497, 34698, 7667, 8088, 289, 1011, 8900, 492, 8641, 15069, 29804, 309, 14492, 18, 2263, 29308, 481, 41847, 18, 478, 1140, 703, 898, 3860, 281, 26882, 282, 6104, 16, 515, 282, 803, 11258, 30221, 34724, 16, 374, 475, 282, 4666, 18, 740, 475, 3066, 1011, 8900, 2657, 12485, 282, 22381, 309, 30221, 289, 16104, 18703, 861, 11508, 281, 16264, 13328, 933, 19329, 432, 9806, 942, 16228, 309, 7759, 7342, 1175, 334, 40730, 18, 2, 1, 87, 1456, 81, 2448, 30, 25, 7833, 2809, 354, 521, 16, 18722, 5856, 282, 3298, 4044, 16, 11257, 17774, 282, 28077, 26175, 1642, 424, 15888, 844, 3663, 18, 20145, 454, 33598, 282, 41728, 2791, 18, 7905, 33498, 1462, 5250, 16, 20065, 478, 1083, 1917, 5131, 470, 334, 22182, 582, 7988, 305, 16, 38470, 1812, 5533, 911, 304, 18, 31224, 30, 4182, 2438, 3665, 282, 10666, 16, 13236, 3141, 6284, 1162, 13143, 19615, 3298, 742, 281, 44724, 536, 14978, 2809, 354, 521, 510, 1276, 454, 15413, 1033, 1061, 7833, 33598, 282, 430, 5096, 1671, 18, 1681, 310, 13725, 8781, 685, 6903, 2042, 282, 21520, 8426, 3430, 547, 282, 28077, 26175, 1642, 16, 12860, 590, 30390, 291, 5540, 424, 21592, 334, 590, 27131, 2809, 354, 521, 18, 889, 8794, 9914, 32473, 16, 1586, 519, 30194, 1612, 26633, 3348, 411, 17972, 2477, 28757, 282, 1175, 28885, 718, 2809, 3430, 434, 14264, 354, 18, 33739, 4028, 13798, 8231, 1175, 21849, 857, 11969, 1743, 282, 4599, 20148, 8840, 1335, 9835, 17514, 18333, 324, 16, 47515, 505, 282, 8334, 45432, 4678, 371, 45885, 464, 12942, 332, 18, 3397, 18333, 324, 16, 1143, 14818, 282, 22164, 1901, 30000, 334, 22182, 582, 7988, 305, 16, 38470, 1211, 5533, 911, 18, 29658, 29966, 1157, 935, 322, 12603, 414, 16, 374, 12185, 10837, 1463, 309, 6900, 675, 10372, 2009, 12423, 18, 478, 630, 2314, 6011, 17, 782, 4562, 4786, 35272, 282, 914, 541, 1684, 820, 282, 4301, 7301, 2198, 14132, 1101, 16, 7117, 322, 4660, 2728, 309, 6441, 16, 510, 13737, 478, 46088, 18, 8381, 470, 282, 13236, 3141, 6284, 1212, 1530, 582, 6233, 18, 510, 2112, 924, 428, 40439, 21396, 16, 21592, 3524, 16630, 18, 8426, 47717, 827, 289, 685, 16, 502, 9066, 334, 24822, 309, 2590, 1165, 861, 2263, 914, 17, 800, 292, 18333, 324, 3164, 282, 5214, 20268, 8426, 3430, 451, 7415, 18887, 478, 983, 508, 9058, 910, 6874, 3592, 1734, 541, 15788, 12991, 16, 3757, 36485, 1587, 8802, 282, 28885, 18, 26777, 274, 28789, 1949, 39969, 6359, 16, 29966, 1157, 32717, 282, 23408, 16, 25228, 281, 694, 7468, 1963, 1642, 18, 478, 677, 48016, 906, 14763, 3412, 478, 30480, 470, 281, 5268, 5793, 16, 26421, 3760, 16, 510, 4848, 478, 46088, 18, 8381, 470, 29966, 742, 16, 1131, 16807, 1779, 282, 6053, 18, 510, 1937, 32717, 16, 502, 5823, 282, 15218, 547, 7488, 4172, 18, 16003, 16, 374, 2733, 44706, 22947, 953, 322, 757, 18, 5057, 406, 16, 329, 2059, 5277, 764, 42407, 36736, 861, 365, 6031, 30522, 13824, 983, 8572, 14986, 33689, 1375, 937, 700, 37103, 2638, 17304, 16, 1029, 16, 428, 12374, 16, 685, 11249, 7997, 286, 29995, 343, 11302, 30768, 304, 289, 349, 7527, 363, 36736, 536, 41752, 18, 1178, 373, 15200, 11032, 10473, 29563, 1558, 16, 502, 17882, 46763, 668, 5052, 639, 373, 3716, 4385, 18, 365, 23742, 13942, 16, 2319, 48912, 17774, 16, 702, 309, 2803, 898, 2031, 1007, 33781, 281, 2809, 354, 628, 18, 7758, 17774, 13134, 414, 3405, 27, 48186, 18583, 15413, 2734, 1033, 1061, 7833, 18, 478, 677, 7061, 1165, 510, 2809, 47717, 17, 1013, 3733, 24402, 44425, 16, 510, 38349, 478, 46088, 18, 8381, 470, 7996, 3781, 17, 14130, 16201, 3594, 8231, 16974, 28019, 307, 3055, 18, 510, 17102, 16987, 37825, 2205, 364, 430, 8715, 1409, 2783, 39587, 861, 9266, 742, 685, 32380, 5475, 1939, 3972, 16, 515, 16395, 12423, 16, 505, 290, 6573, 289, 19296, 3227, 17091, 687, 309, 30770, 13111, 2299, 18, 824, 18980, 7987, 16, 17437, 6134, 39152, 346, 33299, 12423, 17045, 430, 5096, 1671, 18, 7249, 309, 502, 374, 282, 2456, 40531, 9804, 1175, 9884, 11096, 2809, 354, 521, 3621, 3716, 2552, 1119, 16, 2174, 3400, 12333, 16902, 12423, 349, 1176, 445, 639, 26171, 4424, 18, 17246, 21591, 549, 13521, 281, 10372, 3276, 3196, 496, 2809, 354, 521, 282, 45585, 1767, 9601, 5017, 5583, 8802, 16, 785, 282, 31692, 685, 28809, 7947, 40439, 18, 30491, 16201, 3594, 8231, 519, 5129, 38033, 1999, 576, 505, 428, 478, 326, 8604, 36958, 40759, 3463, 861, 365, 15505, 25796, 18333, 324, 5313, 5317, 478, 1231, 3430, 536, 28353, 861, 365, 4810, 16, 37972, 9597, 584, 24145, 2168, 4364, 35014, 35208, 18333, 392, 22909, 395, 17866, 1248, 33570, 448, 6549, 14565, 2888, 5337, 309, 3116, 10460, 6134, 282, 23386, 11476, 23256, 3763, 1671, 18, 2112, 924, 428, 40439, 46115, 282, 27900, 16, 20631, 4752, 685, 30627, 282, 31048, 7233, 19504, 478, 17114, 843, 292, 268, 3063, 861, 2949, 924, 16, 40762, 2891, 1248, 1551, 33291, 2031, 427, 19750, 11630, 10162, 7067, 16, 29002, 273, 2024, 685, 8641, 35014, 10606, 18333, 392, 18, 439, 5548, 15689, 45585, 1767, 6363, 1312, 4474, 609, 29608, 6814, 3594, 18747, 334, 25181, 2818, 10950, 272, 289, 36197, 282, 45585, 1767, 349, 3961, 282, 29065, 763, 7431, 282, 2809, 3430, 416, 12893, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12838, 282, 1175, 2245, 315, 309, 6459, 9, 1143, 5642, 16, 828, 282, 970, 575, 23922, 6705, 779, 16, 367, 1223, 349, 1205, 895, 953, 7243, 9368, 519, 430, 16, 29, 3763, 8974, 18, 365, 4440, 1045, 16188, 3305, 895, 46497, 764, 309, 14596, 16, 2686, 541, 505, 15974, 289, 1011, 9512, 7882, 7740, 277, 2881, 4313, 1510, 6591, 7234, 16, 15833, 14697, 18, 31224, 30, 42699, 5554, 451, 8275, 282, 12838, 10117, 14583, 18, 824, 3761, 25470, 28397, 7321, 473, 618, 992, 983, 934, 281, 3612, 334, 36440, 282, 4008, 639, 7243, 9368, 430, 5953, 26, 2706, 24, 1493, 7492, 289, 17203, 26928, 7994, 16, 374, 309, 4039, 9, 1143, 16, 828, 282, 7664, 4267, 29235, 6705, 779, 18, 16375, 675, 8974, 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 ]
[ 3525, 9858, 18, 478, 18810, 1033, 21705, 8404, 16, 281, 4778, 41498, 16, 289, 475, 1033, 27302, 16, 510, 4725, 492, 18, 651, 415, 1190, 3857, 17259, 360, 14824, 16, 374, 417, 13036, 16, 367, 309, 2463, 417, 575, 764, 1329, 322, 5575, 861, 7022, 4168, 808, 15076, 14450, 16, 374, 329, 44497, 34698, 7667, 8088, 289, 1011, 8900, 492, 8641, 15069, 29804, 309, 14492, 18, 2263, 29308, 481, 41847, 18, 478, 1140, 703, 898, 3860, 281, 26882, 282, 6104, 16, 515, 282, 803, 11258, 30221, 34724, 16, 374, 475, 282, 4666, 18, 740, 475, 3066, 1011, 8900, 2657, 12485, 282, 22381, 309, 30221, 289, 16104, 18703, 861, 11508, 281, 16264, 13328, 933, 19329, 432, 9806, 942, 16228, 309, 7759, 7342, 1175, 334, 40730, 18, 2, 1, 87, 1456, 81, 2448, 30, 25, 7833, 2809, 354, 521, 16, 18722, 5856, 282, 3298, 4044, 16, 11257, 17774, 282, 28077, 26175, 1642, 424, 15888, 844, 3663, 18, 20145, 454, 33598, 282, 41728, 2791, 18, 7905, 33498, 1462, 5250, 16, 20065, 478, 1083, 1917, 5131, 470, 334, 22182, 582, 7988, 305, 16, 38470, 1812, 5533, 911, 304, 18, 31224, 30, 4182, 2438, 3665, 282, 10666, 16, 13236, 3141, 6284, 1162, 13143, 19615, 3298, 742, 281, 44724, 536, 14978, 2809, 354, 521, 510, 1276, 454, 15413, 1033, 1061, 7833, 33598, 282, 430, 5096, 1671, 18, 1681, 310, 13725, 8781, 685, 6903, 2042, 282, 21520, 8426, 3430, 547, 282, 28077, 26175, 1642, 16, 12860, 590, 30390, 291, 5540, 424, 21592, 334, 590, 27131, 2809, 354, 521, 18, 889, 8794, 9914, 32473, 16, 1586, 519, 30194, 1612, 26633, 3348, 411, 17972, 2477, 28757, 282, 1175, 28885, 718, 2809, 3430, 434, 14264, 354, 18, 33739, 4028, 13798, 8231, 1175, 21849, 857, 11969, 1743, 282, 4599, 20148, 8840, 1335, 9835, 17514, 18333, 324, 16, 47515, 505, 282, 8334, 45432, 4678, 371, 45885, 464, 12942, 332, 18, 3397, 18333, 324, 16, 1143, 14818, 282, 22164, 1901, 30000, 334, 22182, 582, 7988, 305, 16, 38470, 1211, 5533, 911, 18, 29658, 29966, 1157, 935, 322, 12603, 414, 16, 374, 12185, 10837, 1463, 309, 6900, 675, 10372, 2009, 12423, 18, 478, 630, 2314, 6011, 17, 782, 4562, 4786, 35272, 282, 914, 541, 1684, 820, 282, 4301, 7301, 2198, 14132, 1101, 16, 7117, 322, 4660, 2728, 309, 6441, 16, 510, 13737, 478, 46088, 18, 8381, 470, 282, 13236, 3141, 6284, 1212, 1530, 582, 6233, 18, 510, 2112, 924, 428, 40439, 21396, 16, 21592, 3524, 16630, 18, 8426, 47717, 827, 289, 685, 16, 502, 9066, 334, 24822, 309, 2590, 1165, 861, 2263, 914, 17, 800, 292, 18333, 324, 3164, 282, 5214, 20268, 8426, 3430, 451, 7415, 18887, 478, 983, 508, 9058, 910, 6874, 3592, 1734, 541, 15788, 12991, 16, 3757, 36485, 1587, 8802, 282, 28885, 18, 26777, 274, 28789, 1949, 39969, 6359, 16, 29966, 1157, 32717, 282, 23408, 16, 25228, 281, 694, 7468, 1963, 1642, 18, 478, 677, 48016, 906, 14763, 3412, 478, 30480, 470, 281, 5268, 5793, 16, 26421, 3760, 16, 510, 4848, 478, 46088, 18, 8381, 470, 29966, 742, 16, 1131, 16807, 1779, 282, 6053, 18, 510, 1937, 32717, 16, 502, 5823, 282, 15218, 547, 7488, 4172, 18, 16003, 16, 374, 2733, 44706, 22947, 953, 322, 757, 18, 5057, 406, 16, 329, 2059, 5277, 764, 42407, 36736, 861, 365, 6031, 30522, 13824, 983, 8572, 14986, 33689, 1375, 937, 700, 37103, 2638, 17304, 16, 1029, 16, 428, 12374, 16, 685, 11249, 7997, 286, 29995, 343, 11302, 30768, 304, 289, 349, 7527, 363, 36736, 536, 41752, 18, 1178, 373, 15200, 11032, 10473, 29563, 1558, 16, 502, 17882, 46763, 668, 5052, 639, 373, 3716, 4385, 18, 365, 23742, 13942, 16, 2319, 48912, 17774, 16, 702, 309, 2803, 898, 2031, 1007, 33781, 281, 2809, 354, 628, 18, 7758, 17774, 13134, 414, 3405, 27, 48186, 18583, 15413, 2734, 1033, 1061, 7833, 18, 478, 677, 7061, 1165, 510, 2809, 47717, 17, 1013, 3733, 24402, 44425, 16, 510, 38349, 478, 46088, 18, 8381, 470, 7996, 3781, 17, 14130, 16201, 3594, 8231, 16974, 28019, 307, 3055, 18, 510, 17102, 16987, 37825, 2205, 364, 430, 8715, 1409, 2783, 39587, 861, 9266, 742, 685, 32380, 5475, 1939, 3972, 16, 515, 16395, 12423, 16, 505, 290, 6573, 289, 19296, 3227, 17091, 687, 309, 30770, 13111, 2299, 18, 824, 18980, 7987, 16, 17437, 6134, 39152, 346, 33299, 12423, 17045, 430, 5096, 1671, 18, 7249, 309, 502, 374, 282, 2456, 40531, 9804, 1175, 9884, 11096, 2809, 354, 521, 3621, 3716, 2552, 1119, 16, 2174, 3400, 12333, 16902, 12423, 349, 1176, 445, 639, 26171, 4424, 18, 17246, 21591, 549, 13521, 281, 10372, 3276, 3196, 496, 2809, 354, 521, 282, 45585, 1767, 9601, 5017, 5583, 8802, 16, 785, 282, 31692, 685, 28809, 7947, 40439, 18, 30491, 16201, 3594, 8231, 519, 5129, 38033, 1999, 576, 505, 428, 478, 326, 8604, 36958, 40759, 3463, 861, 365, 15505, 25796, 18333, 324, 5313, 5317, 478, 1231, 3430, 536, 28353, 861, 365, 4810, 16, 37972, 9597, 584, 24145, 2168, 4364, 35014, 35208, 18333, 392, 22909, 395, 17866, 1248, 33570, 448, 6549, 14565, 2888, 5337, 309, 3116, 10460, 6134, 282, 23386, 11476, 23256, 3763, 1671, 18, 2112, 924, 428, 40439, 46115, 282, 27900, 16, 20631, 4752, 685, 30627, 282, 31048, 7233, 19504, 478, 17114, 843, 292, 268, 3063, 861, 2949, 924, 16, 40762, 2891, 1248, 1551, 33291, 2031, 427, 19750, 11630, 10162, 7067, 16, 29002, 273, 2024, 685, 8641, 35014, 10606, 18333, 392, 18, 439, 5548, 15689, 45585, 1767, 6363, 1312, 4474, 609, 29608, 6814, 3594, 18747, 334, 25181, 2818, 10950, 272, 289, 36197, 282, 45585, 1767, 349, 3961, 282, 29065, 763, 7431, 282, 2809, 3430, 416, 12893, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 12838, 282, 1175, 2245, 315, 309, 6459, 9, 1143, 5642, 16, 828, 282, 970, 575, 23922, 6705, 779, 16, 367, 1223, 349, 1205, 895, 953, 7243, 9368, 519, 430, 16, 29, 3763, 8974, 18, 365, 4440, 1045, 16188, 3305, 895, 46497, 764, 309, 14596, 16, 2686, 541, 505, 15974, 289, 1011, 9512, 7882, 7740, 277, 2881, 4313, 1510, 6591, 7234, 16, 15833, 14697, 18, 31224, 30, 42699, 5554, 451, 8275, 282, 12838, 10117, 14583, 18, 824, 3761, 25470, 28397, 7321, 473, 618, 992, 983, 934, 281, 3612, 334, 36440, 282, 4008, 639, 7243, 9368, 430, 5953, 26, 2706, 24, 1493, 7492, 289, 17203, 26928, 7994, 16, 374, 309, 4039, 9, 1143, 16, 828, 282, 7664, 4267, 29235, 6705, 779, 18, 16375, 675, 8974, 282 ]
[ 1175, 16835, 1713, 8984, 44505, 334, 7413, 281, 3511, 3570, 30855, 5021, 779, 281, 16838, 21294, 30, 282, 11382, 334, 8823, 294, 7664, 11436, 1986, 1159, 6705, 779, 745, 3516, 751, 282, 12335, 18, 403, 8151, 16952, 6591, 5575, 12911, 7418, 367, 282, 12838, 10929, 20299, 309, 6459, 9, 30, 349, 5004, 282, 1175, 2245, 315, 6270, 6374, 22, 4347, 16, 282, 12838, 5021, 17, 361, 2734, 1033, 27839, 2634, 5642, 18, 28616, 439, 992, 983, 18604, 4364, 16, 374, 4982, 7179, 16188, 19305, 282, 4479, 1045, 14481, 7431, 430, 16, 29, 3763, 8974, 18, 9418, 281, 867, 4313, 1510, 6591, 4040, 28648, 687, 371, 4784, 36661, 7234, 18, 478, 677, 5521, 304, 1342, 3415, 763, 6591, 895, 16122, 2555, 5999, 16003, 16, 374, 7938, 22102, 1640, 11798, 8974, 16, 367, 1038, 16907, 549, 3772, 622, 23429, 720, 26108, 281, 18183, 17401, 680, 20835, 16, 6042, 274, 294, 23255, 10241, 567, 1209, 38288, 292, 289, 334, 1514, 1664, 1876, 910, 510, 10050, 8624, 7920, 7547, 23766, 1643, 439, 992, 983, 289, 5037, 7179, 32422, 16229, 35640, 16722, 16404, 18, 365, 502, 575, 808, 16, 334, 3163, 9541, 17, 8844, 2684, 1887, 7920, 289, 6677, 19007, 478, 1182, 5551, 1192, 755, 2333, 40689, 470, 23932, 415, 4574, 10889, 1624, 541, 24176, 15974, 7043, 1011, 18890, 22102, 431, 4669, 4696, 2881, 6591, 7234, 282, 7823, 18, 365, 5021, 1045, 282, 1175, 639, 7243, 9368, 1033, 430, 16, 23, 3763, 8974, 16, 367, 282, 15513, 547, 5049, 1045, 1033, 491, 16, 26, 3763, 5642, 18, 4756, 282, 430, 16, 29, 3763, 8974, 4609, 435, 27698, 7179, 16188, 19305, 282, 4479, 1045, 22029, 647, 10027, 478, 11636, 299, 419, 266, 861, 967, 803, 16, 334, 3163, 8840, 10015, 11088, 1312, 538, 3340, 1624, 282, 4479, 1045, 2364, 6603, 9, 7179, 7043, 8974, 840, 2056, 299, 2304, 2206, 13553, 331, 2466, 27770, 334, 20311, 18464, 40508, 16, 367, 282, 4440, 1045, 8275, 895, 46497, 764, 309, 1939, 443, 4691, 5999, 478, 46041, 46852, 10589, 470, 282, 12838, 2957, 3389, 10929, 19124, 16, 515, 687, 4426, 7882, 7740, 482, 22102, 1640, 11798, 8974, 18, 999, 5004, 4704, 27937, 282, 1175, 13531, 1061, 7751, 7994, 1279, 3703, 1658, 11275, 12260, 4419, 18, 1598, 1129, 16, 334, 3761, 10185, 16, 282, 4301, 4696, 22102, 1640, 7243, 9368, 4055, 1658, 17133, 4347, 16, 14917, 16, 749, 9759, 49835, 7391, 1569, 1223, 3695, 1061, 9247, 8974, 18, 999, 2287, 4776, 4479, 779, 478, 46041, 46852, 10589, 470, 7243, 1475, 12151, 27, 48657, 8974, 1185, 11651, 473, 324, 7640, 9, 1143, 16, 828, 12260, 4419, 814, 24605, 1756, 309, 19862, 5814, 10391, 1211, 17558, 90, 674, 8816, 16, 2245, 4749, 42093, 26856, 8974, 349, 5004, 35162, 15118, 9, 294, 7664, 11436, 48597, 6705, 779, 13, 289, 39649, 1286, 18637, 5554, 35162, 29, 18314, 281, 2742, 779, 18, 640, 15301, 2468, 27964, 1162, 1802, 1831, 16, 7243, 401, 4749, 1658, 4003, 5642, 282, 12838, 35162, 6462, 18314, 289, 27365, 1061, 6427, 35162, 8042, 18314, 281, 2742, 779, 18, 999, 1420, 3014, 38392, 3565, 281, 16511, 21090, 646, 4347, 349, 5004, 289, 17911, 2239, 10670, 281, 2742, 779, 18, 19591, 10241, 20305, 8934, 282, 12838, 4896, 15882, 7418, 367, 334, 7413, 281, 2287, 1986, 2855, 5021, 779, 38392, 3565, 26450, 455, 282, 1175, 309, 4518, 9, 1143, 8974, 18, 365, 43829, 3989, 2245, 11881, 21925, 1038, 9311, 28857, 1624, 28646, 2383, 7463, 1624, 37556, 16, 47698, 16, 38128, 1753, 16382, 289, 478, 1009, 10589, 910, 3716, 3118, 28075, 756, 5229, 309, 39286, 30042, 42714, 10547, 18, 403, 9747, 779, 2691, 15077, 10929, 8974, 11248, 31473, 634, 331, 30, 37556, 282, 12838, 26450, 455, 6459, 17819, 7994, 35162, 17430, 21327, 47698, 1658, 3940, 29, 5642, 35162, 3420, 28, 21956, 16375, 675, 1967, 21925, 349, 2287, 4776, 7083, 751, 309, 2511, 9, 289, 2123, 9, 8774, 18, 11974, 451, 6591, 334, 8872, 5196, 31167, 289, 860, 5266, 19970, 16, 7243, 401, 4749, 816, 2692, 29, 4347, 35162, 3420, 28, 21327, 2686, 334, 8872, 779, 13462, 2706, 17, 45900, 451, 33795, 473, 22, 3420, 8725, 4347, 281, 3612, 334, 31177, 814, 16375, 675, 1021, 43175, 7636, 25536, 309, 14596, 281, 2742, 779, 16, 322, 19502, 282, 11382, 289, 334, 8872, 5196, 473, 3572, 7751, 4347, 282, 12838, 16, 376, 28, 21956, 2046, 282, 7823, 1045, 282, 7063, 547, 17188, 29022, 8934, 3730, 8394, 24791, 18, 985, 4848, 478, 46088, 18, 8381, 470, 5854, 1021, 43175, 6729, 2227, 389, 523, 16, 282, 4056, 11053, 4440, 779, 19988, 12697, 309, 19862, 5814, 6973, 4436, 1021, 43175, 48921, 2577, 16, 442, 305, 283, 296, 599, 343, 1442, 26858, 16, 1029, 12845, 2770, 38970, 24040, 40017, 755, 16, 367, 1038, 1021, 43175, 769, 23319, 849, 2322, 18, 1591, 2992, 11053, 779, 19988, 449, 419, 295, 12560, 5863, 33680, 434, 29141, 665, 1021, 43175, 969, 787, 1050, 18, 2949, 924, 16, 15833, 282, 1021, 43175, 16, 282, 4440, 1045, 3785, 8003, 484, 9795, 12703, 23144, 1251, 35069, 289, 23579, 16, 3387, 309, 3888, 13495, 1314, 8355, 887, 10684, 16, 282, 4810, 1021, 43175, 41288, 17, 58, 6110, 5837, 7431, 816, 443, 24, 4776, 18, 23932, 43820, 16, 26850, 4749, 282, 4479, 1045, 1293, 3741, 289, 6973, 4436, 8974, 16, 2957, 5481, 10929, 309, 14691, 9, 349, 2287, 4776, 289, 309, 1760, 27, 9, 282, 12838, 18, 824, 3163, 47835, 17, 503, 383, 16767, 43820, 12097, 3584, 347, 409, 7876, 16, 6591, 10241, 13365, 637, 27653, 309, 9805, 8275, 4335, 7614, 4486, 1739, 14641, 16, 367, 1038, 6764, 2854, 16826, 17605, 294, 10811, 20550, 32720, 289, 7773, 8990, 309, 15693, 4267, 5814, 18, 478, 6161, 3111, 396, 4479, 1205, 16, 502, 2003, 10229, 16, 2710, 5936, 329, 813, 7451, 309, 9805, 8275, 30, 745, 2702, 3081, 318, 18, 889, 289, 3655, 786, 765, 3659, 75, 16, 1029, 282, 1175, 16560, 5487, 6688, 282, 3177, 16354, 16, 289, 3655, 29728, 517, 18, 2949, 924, 16, 282, 12938, 309, 8275, 4223, 3655, 9908, 83, 715, 527, 517, 16, 510, 1109, 3584, 347, 409, 2882, 478, 46088, 18, 8381, 470, 510, 4246, 648, 309, 13495, 895, 14389, 506, 282, 3178, 779, 16, 289, 36440, 651, 1176, 411, 478, 24119, 973, 470, 4776, 861, 2949, 924, 16, 334, 505, 3163, 16, 519, 3915, 4479, 779, 3785, 29569, 21001, 1533, 2634, 43820, 9908, 83, 715, 527, 517, 7427, 545, 680, 35591, 18, 6831, 8974, 7663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1175, 16835, 1713, 8984, 44505, 334, 7413, 281, 3511, 3570, 30855, 5021, 779, 281, 16838, 21294, 30, 282, 11382, 334, 8823, 294, 7664, 11436, 1986, 1159, 6705, 779, 745, 3516, 751, 282, 12335, 18, 403, 8151, 16952, 6591, 5575, 12911, 7418, 367, 282, 12838, 10929, 20299, 309, 6459, 9, 30, 349, 5004, 282, 1175, 2245, 315, 6270, 6374, 22, 4347, 16, 282, 12838, 5021, 17, 361, 2734, 1033, 27839, 2634, 5642, 18, 28616, 439, 992, 983, 18604, 4364, 16, 374, 4982, 7179, 16188, 19305, 282, 4479, 1045, 14481, 7431, 430, 16, 29, 3763, 8974, 18, 9418, 281, 867, 4313, 1510, 6591, 4040, 28648, 687, 371, 4784, 36661, 7234, 18, 478, 677, 5521, 304, 1342, 3415, 763, 6591, 895, 16122, 2555, 5999, 16003, 16, 374, 7938, 22102, 1640, 11798, 8974, 16, 367, 1038, 16907, 549, 3772, 622, 23429, 720, 26108, 281, 18183, 17401, 680, 20835, 16, 6042, 274, 294, 23255, 10241, 567, 1209, 38288, 292, 289, 334, 1514, 1664, 1876, 910, 510, 10050, 8624, 7920, 7547, 23766, 1643, 439, 992, 983, 289, 5037, 7179, 32422, 16229, 35640, 16722, 16404, 18, 365, 502, 575, 808, 16, 334, 3163, 9541, 17, 8844, 2684, 1887, 7920, 289, 6677, 19007, 478, 1182, 5551, 1192, 755, 2333, 40689, 470, 23932, 415, 4574, 10889, 1624, 541, 24176, 15974, 7043, 1011, 18890, 22102, 431, 4669, 4696, 2881, 6591, 7234, 282, 7823, 18, 365, 5021, 1045, 282, 1175, 639, 7243, 9368, 1033, 430, 16, 23, 3763, 8974, 16, 367, 282, 15513, 547, 5049, 1045, 1033, 491, 16, 26, 3763, 5642, 18, 4756, 282, 430, 16, 29, 3763, 8974, 4609, 435, 27698, 7179, 16188, 19305, 282, 4479, 1045, 22029, 647, 10027, 478, 11636, 299, 419, 266, 861, 967, 803, 16, 334, 3163, 8840, 10015, 11088, 1312, 538, 3340, 1624, 282, 4479, 1045, 2364, 6603, 9, 7179, 7043, 8974, 840, 2056, 299, 2304, 2206, 13553, 331, 2466, 27770, 334, 20311, 18464, 40508, 16, 367, 282, 4440, 1045, 8275, 895, 46497, 764, 309, 1939, 443, 4691, 5999, 478, 46041, 46852, 10589, 470, 282, 12838, 2957, 3389, 10929, 19124, 16, 515, 687, 4426, 7882, 7740, 482, 22102, 1640, 11798, 8974, 18, 999, 5004, 4704, 27937, 282, 1175, 13531, 1061, 7751, 7994, 1279, 3703, 1658, 11275, 12260, 4419, 18, 1598, 1129, 16, 334, 3761, 10185, 16, 282, 4301, 4696, 22102, 1640, 7243, 9368, 4055, 1658, 17133, 4347, 16, 14917, 16, 749, 9759, 49835, 7391, 1569, 1223, 3695, 1061, 9247, 8974, 18, 999, 2287, 4776, 4479, 779, 478, 46041, 46852, 10589, 470, 7243, 1475, 12151, 27, 48657, 8974, 1185, 11651, 473, 324, 7640, 9, 1143, 16, 828, 12260, 4419, 814, 24605, 1756, 309, 19862, 5814, 10391, 1211, 17558, 90, 674, 8816, 16, 2245, 4749, 42093, 26856, 8974, 349, 5004, 35162, 15118, 9, 294, 7664, 11436, 48597, 6705, 779, 13, 289, 39649, 1286, 18637, 5554, 35162, 29, 18314, 281, 2742, 779, 18, 640, 15301, 2468, 27964, 1162, 1802, 1831, 16, 7243, 401, 4749, 1658, 4003, 5642, 282, 12838, 35162, 6462, 18314, 289, 27365, 1061, 6427, 35162, 8042, 18314, 281, 2742, 779, 18, 999, 1420, 3014, 38392, 3565, 281, 16511, 21090, 646, 4347, 349, 5004, 289, 17911, 2239, 10670, 281, 2742, 779, 18, 19591, 10241, 20305, 8934, 282, 12838, 4896, 15882, 7418, 367, 334, 7413, 281, 2287, 1986, 2855, 5021, 779, 38392, 3565, 26450, 455, 282, 1175, 309, 4518, 9, 1143, 8974, 18, 365, 43829, 3989, 2245, 11881, 21925, 1038, 9311, 28857, 1624, 28646, 2383, 7463, 1624, 37556, 16, 47698, 16, 38128, 1753, 16382, 289, 478, 1009, 10589, 910, 3716, 3118, 28075, 756, 5229, 309, 39286, 30042, 42714, 10547, 18, 403, 9747, 779, 2691, 15077, 10929, 8974, 11248, 31473, 634, 331, 30, 37556, 282, 12838, 26450, 455, 6459, 17819, 7994, 35162, 17430, 21327, 47698, 1658, 3940, 29, 5642, 35162, 3420, 28, 21956, 16375, 675, 1967, 21925, 349, 2287, 4776, 7083, 751, 309, 2511, 9, 289, 2123, 9, 8774, 18, 11974, 451, 6591, 334, 8872, 5196, 31167, 289, 860, 5266, 19970, 16, 7243, 401, 4749, 816, 2692, 29, 4347, 35162, 3420, 28, 21327, 2686, 334, 8872, 779, 13462, 2706, 17, 45900, 451, 33795, 473, 22, 3420, 8725, 4347, 281, 3612, 334, 31177, 814, 16375, 675, 1021, 43175, 7636, 25536, 309, 14596, 281, 2742, 779, 16, 322, 19502, 282, 11382, 289, 334, 8872, 5196, 473, 3572, 7751, 4347, 282, 12838, 16, 376, 28, 21956, 2046, 282, 7823, 1045, 282, 7063, 547, 17188, 29022, 8934, 3730, 8394, 24791, 18, 985, 4848, 478, 46088, 18, 8381, 470, 5854, 1021, 43175, 6729, 2227, 389, 523, 16, 282, 4056, 11053, 4440, 779, 19988, 12697, 309, 19862, 5814, 6973, 4436, 1021, 43175, 48921, 2577, 16, 442, 305, 283, 296, 599, 343, 1442, 26858, 16, 1029, 12845, 2770, 38970, 24040, 40017, 755, 16, 367, 1038, 1021, 43175, 769, 23319, 849, 2322, 18, 1591, 2992, 11053, 779, 19988, 449, 419, 295, 12560, 5863, 33680, 434, 29141, 665, 1021, 43175, 969, 787, 1050, 18, 2949, 924, 16, 15833, 282, 1021, 43175, 16, 282, 4440, 1045, 3785, 8003, 484, 9795, 12703, 23144, 1251, 35069, 289, 23579, 16, 3387, 309, 3888, 13495, 1314, 8355, 887, 10684, 16, 282, 4810, 1021, 43175, 41288, 17, 58, 6110, 5837, 7431, 816, 443, 24, 4776, 18, 23932, 43820, 16, 26850, 4749, 282, 4479, 1045, 1293, 3741, 289, 6973, 4436, 8974, 16, 2957, 5481, 10929, 309, 14691, 9, 349, 2287, 4776, 289, 309, 1760, 27, 9, 282, 12838, 18, 824, 3163, 47835, 17, 503, 383, 16767, 43820, 12097, 3584, 347, 409, 7876, 16, 6591, 10241, 13365, 637, 27653, 309, 9805, 8275, 4335, 7614, 4486, 1739, 14641, 16, 367, 1038, 6764, 2854, 16826, 17605, 294, 10811, 20550, 32720, 289, 7773, 8990, 309, 15693, 4267, 5814, 18, 478, 6161, 3111, 396, 4479, 1205, 16, 502, 2003, 10229, 16, 2710, 5936, 329, 813, 7451, 309, 9805, 8275, 30, 745, 2702, 3081, 318, 18, 889, 289, 3655, 786, 765, 3659, 75, 16, 1029, 282, 1175, 16560, 5487, 6688, 282, 3177, 16354, 16, 289, 3655, 29728, 517, 18, 2949, 924, 16, 282, 12938, 309, 8275, 4223, 3655, 9908, 83, 715, 527, 517, 16, 510, 1109, 3584, 347, 409, 2882, 478, 46088, 18, 8381, 470, 510, 4246, 648, 309, 13495, 895, 14389, 506, 282, 3178, 779, 16, 289, 36440, 651, 1176, 411, 478, 24119, 973, 470, 4776, 861, 2949, 924, 16, 334, 505, 3163, 16, 519, 3915, 4479, 779, 3785, 29569, 21001, 1533, 2634, 43820, 9908, 83, 715, 527, 517, 7427, 545, 680, 35591, 18, 6831, 8974, 7663 ]
[ 619, 3646, 334, 8872, 4120, 5906, 6271, 16835, 47341, 6591, 18, 996, 16, 349, 5004, 639, 2245, 315, 28032, 22, 39181, 17, 38, 29905, 16, 28460, 35130, 289, 2418, 3572, 776, 30940, 16, 374, 309, 21547, 7418, 12060, 9, 289, 2555, 9, 1143, 19965, 7664, 2514, 10485, 6705, 779, 541, 18811, 21925, 18, 31610, 1151, 20299, 10929, 1185, 4656, 1072, 289, 30340, 410, 41706, 30, 349, 5004, 42286, 972, 14634, 6955, 17, 296, 987, 700, 26450, 414, 309, 28244, 9, 289, 48082, 9, 5642, 1143, 16, 828, 282, 7664, 4267, 29235, 6705, 779, 473, 3572, 11559, 289, 1061, 12281, 4347, 8774, 814, 967, 803, 28062, 1075, 4054, 282, 12838, 6705, 779, 46111, 1882, 30, 1655, 639, 7243, 9368, 1409, 11842, 8974, 16, 1314, 1409, 10207, 18, 2080, 4574, 662, 282, 25902, 3989, 2245, 11881, 13542, 8974, 349, 2287, 4776, 16560, 27806, 48426, 478, 16024, 23226, 910, 2686, 282, 12838, 722, 7786, 2858, 1185, 11651, 21341, 27220, 18, 385, 2742, 779, 639, 2245, 315, 1912, 24, 1156, 4347, 13542, 36675, 25, 289, 36675, 27, 289, 48082, 816, 4691, 478, 4670, 350, 910, 367, 282, 12838, 651, 44698, 7703, 289, 2287, 8564, 23, 4347, 8774, 18, 999, 2872, 37859, 40329, 6407, 289, 22923, 13855, 18, 26605, 2245, 27707, 18464, 29898, 651, 28857, 1149, 1656, 1072, 473, 10670, 12743, 22, 4347, 281, 2742, 779, 289, 1286, 7751, 28, 349, 5004, 814, 365, 43829, 3989, 2245, 11881, 13542, 1038, 11926, 38392, 3565, 47980, 517, 473, 10207, 21, 1618, 289, 1061, 14550, 23, 4347, 934, 38128, 1753, 16382, 1059, 4656, 1831, 16, 1871, 478, 11459, 560, 470, 510, 1185, 11651, 1032, 92, 24, 289, 17558, 90, 674, 8816, 1059, 39500, 16, 367, 1038, 17558, 90, 674, 8816, 1185, 946, 980, 17043, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 11164, 485, 7036, 30, 411, 17, 431, 396, 265, 2449, 21301, 1970, 27211, 1858, 22033, 2444, 18, 34272, 1527, 4701, 21694, 5549, 12146, 567, 2891, 9871, 10812, 416, 24628, 18, 49581, 16, 11511, 289, 12412, 282, 1293, 12762, 3230, 25788, 3085, 21554, 1715, 519, 3915, 4238, 16, 1055, 3210, 322, 7781, 305, 10802, 1134, 294, 15535, 825, 18, 31224, 30, 4182, 13737, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 910, 519, 3915, 32619, 5576, 289, 2651, 20336, 5284, 4238, 19988, 30743, 15584, 4004, 24628, 281, 22794, 347, 2854, 17566, 21301, 1970, 18, 640, 11204, 481, 6411, 16, 374, 840, 12688, 16, 2405, 22705, 435, 289, 9871, 10812, 315, 16, 367, 17395, 17296, 424, 2931, 305, 11511, 477, 25454, 18, 996, 16, 282, 11877, 16, 1760, 4238, 16, 5343, 289, 6391, 30850, 282, 34033, 18457, 4495, 2160, 21758, 521, 18, 632, 45512, 22440, 16, 515, 309, 11204, 481, 6411, 1803, 303, 540, 564, 18, 45394, 840, 1137, 1941, 16, 27376, 14734, 382, 510, 11511, 670, 935, 42407, 8889, 18, 36748, 7097, 31211, 847, 5426, 519, 376, 23, 655, 15, 22, 5448, 16, 7760, 322, 6245, 17471, 4668, 23, 655, 15, 28, 5448, 18, 23544, 9839, 17, 14099, 451, 1061, 443, 2479, 308, 19, 267, 16, 10592, 420, 8523, 16, 11440, 1409, 5041, 6322, 941, 266, 18, 422, 18, 24400, 1180, 27479, 44, 61, 365, 11084, 16, 2261, 4238, 16, 282, 6292, 23756, 1711, 17395, 281, 4079, 5352, 24468, 20085, 11772, 510, 515, 1472, 541, 924, 16, 753, 7760, 3424, 9555, 567, 2891, 18457, 15969, 289, 15438, 14734, 382, 18, 27247, 334, 17, 6093, 840, 1137, 695, 289, 281, 1721, 696, 758, 5314, 2608, 18, 36748, 7097, 5426, 376, 24, 655, 15, 21, 5448, 16, 7760, 4668, 25, 655, 15, 2479, 5448, 18, 23544, 9265, 17, 14099, 451, 16, 4650, 451, 1032, 443, 29, 308, 19, 267, 16, 11440, 1409, 5041, 6322, 941, 266, 18, 422, 18, 365, 10666, 16, 2123, 4238, 16, 3424, 16, 4266, 44157, 1340, 16, 5343, 12146, 282, 34033, 18457, 15969, 18, 1345, 17, 299, 281, 4249, 24134, 16, 374, 745, 6696, 2023, 18, 365, 7522, 3424, 17406, 847, 18817, 5211, 451, 6978, 16, 3585, 13577, 28092, 18, 17942, 343, 44161, 1578, 23063, 31162, 16682, 289, 9310, 1536, 14829, 18, 36748, 7097, 5426, 376, 22, 655, 15, 23, 5448, 16, 7760, 4668, 23, 655, 15, 28, 5448, 18, 23544, 20541, 23523, 1032, 443, 29, 308, 19, 267, 16, 11440, 1409, 8400, 6322, 941, 266, 18, 422, 18, 24400, 1180, 27479, 44, 61, 1591, 12241, 16, 1281, 4238, 16, 21758, 1666, 13826, 341, 309, 14146, 289, 19107, 2500, 683, 995, 1886, 18, 415, 3375, 382, 1747, 14560, 6390, 18, 439, 1215, 12412, 475, 575, 322, 5352, 24468, 289, 8633, 2870, 968, 14077, 7376, 14471, 541, 1967, 34194, 933, 1119, 523, 18, 996, 16, 12412, 7097, 5426, 376, 23, 655, 15, 22, 5448, 16, 7760, 4668, 23, 655, 15, 28, 5448, 18, 23544, 9839, 17, 12212, 2234, 491, 443, 27, 308, 19, 267, 16, 11440, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 9937, 16, 667, 4238, 16, 4226, 32719, 1081, 282, 2580, 360, 4534, 21758, 521, 18457, 15969, 282, 18168, 5892, 1788, 5421, 21758, 1666, 18, 640, 1177, 445, 505, 37816, 12459, 1747, 27735, 5980, 17011, 6097, 14978, 29359, 16, 1586, 322, 18019, 5700, 11839, 506, 309, 813, 282, 23445, 4701, 18, 24400, 1180, 27479, 44, 61, 996, 16, 5426, 17119, 27376, 13768, 14734, 382, 16, 7760, 31559, 6197, 11511, 18, 36748, 7097, 5426, 2364, 2239, 5448, 16, 7760, 4668, 25, 655, 15, 2479, 5448, 18, 23544, 22455, 23523, 1061, 443, 2479, 308, 19, 267, 16, 11440, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 11946, 289, 10882, 16, 1939, 289, 3695, 4238, 16, 17395, 764, 1143, 13029, 19976, 16, 17507, 18, 365, 40177, 18457, 15969, 4783, 1463, 16, 289, 16, 4300, 2119, 9354, 309, 9839, 17, 15482, 16, 492, 840, 6415, 267, 1855, 309, 5876, 2127, 4713, 18528, 560, 20213, 1137, 4260, 289, 38436, 3772, 2870, 1147, 35946, 281, 27637, 18, 24400, 1180, 27479, 44, 61, 36748, 7097, 5426, 376, 22, 655, 15, 23, 5448, 16, 7760, 4668, 22, 655, 15, 27, 5448, 18, 23544, 9839, 17, 12212, 2234, 281, 4193, 304, 309, 9839, 17, 14099, 451, 1061, 443, 2479, 308, 19, 267, 16, 3695, 4238, 10592, 420, 8523, 16, 11440, 1409, 10176, 289, 1409, 8081, 6322, 941, 266, 18, 422, 18, 8774, 18, 365, 11877, 16, 3405, 4238, 16, 1381, 22542, 519, 1601, 8014, 21758, 1666, 18457, 15969, 3210, 50234, 5549, 510, 289, 1472 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 619, 3646, 334, 8872, 4120, 5906, 6271, 16835, 47341, 6591, 18, 996, 16, 349, 5004, 639, 2245, 315, 28032, 22, 39181, 17, 38, 29905, 16, 28460, 35130, 289, 2418, 3572, 776, 30940, 16, 374, 309, 21547, 7418, 12060, 9, 289, 2555, 9, 1143, 19965, 7664, 2514, 10485, 6705, 779, 541, 18811, 21925, 18, 31610, 1151, 20299, 10929, 1185, 4656, 1072, 289, 30340, 410, 41706, 30, 349, 5004, 42286, 972, 14634, 6955, 17, 296, 987, 700, 26450, 414, 309, 28244, 9, 289, 48082, 9, 5642, 1143, 16, 828, 282, 7664, 4267, 29235, 6705, 779, 473, 3572, 11559, 289, 1061, 12281, 4347, 8774, 814, 967, 803, 28062, 1075, 4054, 282, 12838, 6705, 779, 46111, 1882, 30, 1655, 639, 7243, 9368, 1409, 11842, 8974, 16, 1314, 1409, 10207, 18, 2080, 4574, 662, 282, 25902, 3989, 2245, 11881, 13542, 8974, 349, 2287, 4776, 16560, 27806, 48426, 478, 16024, 23226, 910, 2686, 282, 12838, 722, 7786, 2858, 1185, 11651, 21341, 27220, 18, 385, 2742, 779, 639, 2245, 315, 1912, 24, 1156, 4347, 13542, 36675, 25, 289, 36675, 27, 289, 48082, 816, 4691, 478, 4670, 350, 910, 367, 282, 12838, 651, 44698, 7703, 289, 2287, 8564, 23, 4347, 8774, 18, 999, 2872, 37859, 40329, 6407, 289, 22923, 13855, 18, 26605, 2245, 27707, 18464, 29898, 651, 28857, 1149, 1656, 1072, 473, 10670, 12743, 22, 4347, 281, 2742, 779, 289, 1286, 7751, 28, 349, 5004, 814, 365, 43829, 3989, 2245, 11881, 13542, 1038, 11926, 38392, 3565, 47980, 517, 473, 10207, 21, 1618, 289, 1061, 14550, 23, 4347, 934, 38128, 1753, 16382, 1059, 4656, 1831, 16, 1871, 478, 11459, 560, 470, 510, 1185, 11651, 1032, 92, 24, 289, 17558, 90, 674, 8816, 1059, 39500, 16, 367, 1038, 17558, 90, 674, 8816, 1185, 946, 980, 17043, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 11164, 485, 7036, 30, 411, 17, 431, 396, 265, 2449, 21301, 1970, 27211, 1858, 22033, 2444, 18, 34272, 1527, 4701, 21694, 5549, 12146, 567, 2891, 9871, 10812, 416, 24628, 18, 49581, 16, 11511, 289, 12412, 282, 1293, 12762, 3230, 25788, 3085, 21554, 1715, 519, 3915, 4238, 16, 1055, 3210, 322, 7781, 305, 10802, 1134, 294, 15535, 825, 18, 31224, 30, 4182, 13737, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 910, 519, 3915, 32619, 5576, 289, 2651, 20336, 5284, 4238, 19988, 30743, 15584, 4004, 24628, 281, 22794, 347, 2854, 17566, 21301, 1970, 18, 640, 11204, 481, 6411, 16, 374, 840, 12688, 16, 2405, 22705, 435, 289, 9871, 10812, 315, 16, 367, 17395, 17296, 424, 2931, 305, 11511, 477, 25454, 18, 996, 16, 282, 11877, 16, 1760, 4238, 16, 5343, 289, 6391, 30850, 282, 34033, 18457, 4495, 2160, 21758, 521, 18, 632, 45512, 22440, 16, 515, 309, 11204, 481, 6411, 1803, 303, 540, 564, 18, 45394, 840, 1137, 1941, 16, 27376, 14734, 382, 510, 11511, 670, 935, 42407, 8889, 18, 36748, 7097, 31211, 847, 5426, 519, 376, 23, 655, 15, 22, 5448, 16, 7760, 322, 6245, 17471, 4668, 23, 655, 15, 28, 5448, 18, 23544, 9839, 17, 14099, 451, 1061, 443, 2479, 308, 19, 267, 16, 10592, 420, 8523, 16, 11440, 1409, 5041, 6322, 941, 266, 18, 422, 18, 24400, 1180, 27479, 44, 61, 365, 11084, 16, 2261, 4238, 16, 282, 6292, 23756, 1711, 17395, 281, 4079, 5352, 24468, 20085, 11772, 510, 515, 1472, 541, 924, 16, 753, 7760, 3424, 9555, 567, 2891, 18457, 15969, 289, 15438, 14734, 382, 18, 27247, 334, 17, 6093, 840, 1137, 695, 289, 281, 1721, 696, 758, 5314, 2608, 18, 36748, 7097, 5426, 376, 24, 655, 15, 21, 5448, 16, 7760, 4668, 25, 655, 15, 2479, 5448, 18, 23544, 9265, 17, 14099, 451, 16, 4650, 451, 1032, 443, 29, 308, 19, 267, 16, 11440, 1409, 5041, 6322, 941, 266, 18, 422, 18, 365, 10666, 16, 2123, 4238, 16, 3424, 16, 4266, 44157, 1340, 16, 5343, 12146, 282, 34033, 18457, 15969, 18, 1345, 17, 299, 281, 4249, 24134, 16, 374, 745, 6696, 2023, 18, 365, 7522, 3424, 17406, 847, 18817, 5211, 451, 6978, 16, 3585, 13577, 28092, 18, 17942, 343, 44161, 1578, 23063, 31162, 16682, 289, 9310, 1536, 14829, 18, 36748, 7097, 5426, 376, 22, 655, 15, 23, 5448, 16, 7760, 4668, 23, 655, 15, 28, 5448, 18, 23544, 20541, 23523, 1032, 443, 29, 308, 19, 267, 16, 11440, 1409, 8400, 6322, 941, 266, 18, 422, 18, 24400, 1180, 27479, 44, 61, 1591, 12241, 16, 1281, 4238, 16, 21758, 1666, 13826, 341, 309, 14146, 289, 19107, 2500, 683, 995, 1886, 18, 415, 3375, 382, 1747, 14560, 6390, 18, 439, 1215, 12412, 475, 575, 322, 5352, 24468, 289, 8633, 2870, 968, 14077, 7376, 14471, 541, 1967, 34194, 933, 1119, 523, 18, 996, 16, 12412, 7097, 5426, 376, 23, 655, 15, 22, 5448, 16, 7760, 4668, 23, 655, 15, 28, 5448, 18, 23544, 9839, 17, 12212, 2234, 491, 443, 27, 308, 19, 267, 16, 11440, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 9937, 16, 667, 4238, 16, 4226, 32719, 1081, 282, 2580, 360, 4534, 21758, 521, 18457, 15969, 282, 18168, 5892, 1788, 5421, 21758, 1666, 18, 640, 1177, 445, 505, 37816, 12459, 1747, 27735, 5980, 17011, 6097, 14978, 29359, 16, 1586, 322, 18019, 5700, 11839, 506, 309, 813, 282, 23445, 4701, 18, 24400, 1180, 27479, 44, 61, 996, 16, 5426, 17119, 27376, 13768, 14734, 382, 16, 7760, 31559, 6197, 11511, 18, 36748, 7097, 5426, 2364, 2239, 5448, 16, 7760, 4668, 25, 655, 15, 2479, 5448, 18, 23544, 22455, 23523, 1061, 443, 2479, 308, 19, 267, 16, 11440, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 11946, 289, 10882, 16, 1939, 289, 3695, 4238, 16, 17395, 764, 1143, 13029, 19976, 16, 17507, 18, 365, 40177, 18457, 15969, 4783, 1463, 16, 289, 16, 4300, 2119, 9354, 309, 9839, 17, 15482, 16, 492, 840, 6415, 267, 1855, 309, 5876, 2127, 4713, 18528, 560, 20213, 1137, 4260, 289, 38436, 3772, 2870, 1147, 35946, 281, 27637, 18, 24400, 1180, 27479, 44, 61, 36748, 7097, 5426, 376, 22, 655, 15, 23, 5448, 16, 7760, 4668, 22, 655, 15, 27, 5448, 18, 23544, 9839, 17, 12212, 2234, 281, 4193, 304, 309, 9839, 17, 14099, 451, 1061, 443, 2479, 308, 19, 267, 16, 3695, 4238, 10592, 420, 8523, 16, 11440, 1409, 10176, 289, 1409, 8081, 6322, 941, 266, 18, 422, 18, 8774, 18, 365, 11877, 16, 3405, 4238, 16, 1381, 22542, 519, 1601, 8014, 21758, 1666, 18457, 15969, 3210, 50234, 5549, 510, 289, 1472 ]
[ 541, 924, 16, 753, 43971, 3678, 1174, 2459, 47431, 22350, 1147, 18457, 2221, 272, 18, 17369, 1137, 695, 16, 14734, 382, 473, 8108, 5234, 1769, 11511, 16, 5426, 289, 5413, 281, 9310, 6182, 25454, 814, 36748, 7097, 5426, 2239, 655, 15, 25, 5448, 16, 7760, 4668, 23, 655, 15, 28, 5448, 18, 23544, 20541, 23523, 1061, 443, 2479, 308, 19, 267, 16, 11440, 1409, 5041, 6322, 941, 266, 18, 422, 18, 7100, 282, 11084, 16, 3703, 4238, 16, 15583, 12644, 510, 1177, 1119, 24859, 23344, 36255, 20085, 3162, 24628, 18, 10105, 3187, 3328, 1964, 1305, 9090, 6050, 3806, 11972, 2221, 2110, 14838, 522, 281, 36903, 16, 1426, 3222, 322, 687, 40679, 30880, 16, 515, 289, 13367, 13535, 18, 5181, 16, 14734, 382, 475, 3066, 21704, 18, 24400, 1180, 27479, 44, 61, 996, 16, 5475, 813, 8232, 17119, 6197, 11511, 18, 36748, 7097, 5426, 2239, 655, 15, 25, 5448, 16, 7760, 4668, 27, 655, 15, 2783, 5448, 18, 23544, 9265, 17, 14099, 451, 816, 443, 28, 308, 19, 267, 16, 281, 8928, 979, 294, 18328, 519, 1061, 443, 2479, 308, 19, 267, 31, 11440, 1409, 6427, 6322, 941, 266, 18, 422, 2211, 5475, 14145, 29738, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1175, 4732, 17035, 315, 19117, 3730, 14414, 10569, 288, 2594, 8205, 16293, 9996, 478, 618, 1736, 23866, 861, 2949, 924, 16, 282, 23268, 4196, 313, 1919, 9637, 25493, 47376, 541, 10678, 289, 19071, 16970, 1081, 10139, 18, 13699, 1880, 5472, 1472, 29993, 294, 44715, 7179, 6617, 37919, 27467, 18, 31224, 30, 31971, 1318, 662, 7225, 4433, 4551, 3110, 16, 374, 20694, 10139, 10569, 288, 2594, 7492, 9275, 26980, 478, 618, 1736, 23866, 470, 44953, 18, 365, 23032, 3781, 17, 14130, 9322, 11413, 13462, 16, 374, 5754, 7179, 23740, 315, 17, 29646, 434, 10139, 4732, 17035, 539, 8357, 978, 16970, 1081, 6617, 18, 12929, 377, 589, 3276, 36133, 1037, 979, 478, 618, 1736, 47900, 470, 1623, 3730, 17853, 17106, 2523, 11424, 4781, 510, 505, 9438, 3621, 309, 13179, 4335, 13289, 8482, 1195, 15467, 9576, 16, 371, 803, 5922, 10074, 281, 10569, 288, 2594, 6589, 12494, 18, 478, 618, 1736, 23866, 470, 8908, 16, 334, 3163, 45628, 16, 33996, 5630, 34199, 1033, 828, 282, 1939, 445, 18, 1787, 24507, 16, 20556, 13347, 778, 15325, 1458, 478, 8871, 3975, 280, 470, 2469, 4041, 9456, 1472, 282, 491, 16, 6091, 34199, 18, 2949, 924, 16, 282, 26023, 27246, 48484, 16, 374, 8187, 448, 5445, 37961, 10781, 478, 275, 3331, 15459, 3948, 6437, 296, 4929, 718, 17989, 470, 5179, 23268, 16968, 4732, 15730, 13961, 17213, 541, 10678, 289, 19071, 8187, 434, 10139, 18, 9051, 2856, 16, 4725, 9128, 30181, 472, 677, 26448, 334, 4154, 954, 6118, 17, 32743, 4210, 8741, 328, 1152, 16, 5851, 840, 18566, 309, 20319, 31102, 18, 2949, 924, 16, 17023, 7225, 1175, 6489, 576, 36054, 6573, 18427, 10569, 288, 2594, 6589, 13436, 478, 618, 1736, 23866, 861, 640, 5626, 21349, 2626, 1810, 1195, 39546, 13436, 309, 19911, 516, 20118, 289, 722, 15553, 411, 36058, 18, 889, 5487, 478, 675, 1936, 470, 26819, 8886, 478, 618, 1736, 47900, 861, 9263, 282, 28636, 4669, 2095, 5703, 343, 46589, 13331, 25520, 12609, 360, 13436, 17, 2248, 1731, 289, 7218, 539, 13759, 312, 3271, 371, 44766, 294, 1897, 416, 4380, 18, 4756, 7897, 282, 23740, 315, 17, 29646, 547, 27989, 3828, 6080, 478, 13261, 470, 1624, 374, 16970, 1712, 10569, 10499, 1285, 2232, 30349, 478, 618, 1736, 23866, 470, 840, 9727, 8991, 6164, 6087, 3328, 27516, 363, 2509, 38833, 18, 28567, 1335, 7435, 1314, 19423, 282, 391, 11920, 27440, 427, 18, 26959, 29558, 25381, 8340, 13551, 3741, 27516, 363, 1385, 35685, 291, 282, 4190, 387, 718, 32433, 18, 1409, 4209, 282, 4542, 478, 28495, 3851, 5625, 470, 4770, 1175, 4137, 6732, 2715, 309, 1247, 290, 4996, 16115, 16970, 1081, 7179, 6617, 18, 824, 505, 3163, 16, 10569, 288, 2594, 6589, 5447, 5862, 8187, 451, 5851, 478, 684, 375, 1646, 470, 726, 2353, 309, 38257, 16, 294, 26155, 1045, 309, 9324, 45111, 4461, 478, 618, 1736, 23866, 910, 367, 294, 25831, 510, 30349, 478, 563, 441, 7821, 861, 478, 5673, 452, 912, 12526, 510, 30349, 35920, 48108, 289, 8388, 451, 30596, 451, 11341, 18, 3759, 3227, 1235, 11918, 15129, 25514, 3811, 4946, 9588, 18, 8589, 764, 3888, 4465, 2048, 282, 12917, 304, 9484, 18, 9432, 3419, 1717, 334, 22623, 910, 510, 4725, 9805, 5222, 18, 6732, 1038, 15488, 16, 374, 5472, 45111, 309, 20319, 282, 3017, 18, 2949, 924, 16, 4770, 9299, 16, 374, 518, 16, 1085, 282, 481, 322, 19127, 16, 322, 29844, 289, 3255, 16, 2686, 481, 322, 40552, 1175, 6125, 5472, 18, 491, 3990, 4770, 1175, 4137, 6732, 16, 30543, 1188, 36569, 2732, 1525, 16, 15885, 16970, 1527, 24803, 32435, 20024, 18, 16102, 2756, 37328, 32885, 30349, 478, 563, 441, 7821, 910, 282, 34434, 9808, 8526, 13438, 428, 478, 563, 3997, 324, 17, 22, 861, 1253, 2394, 10516, 23113, 282, 46455, 16063, 8187, 451, 5851, 478, 6706, 512, 540, 861, 2949, 924, 16, 6732, 15885, 6402, 2392, 4603, 516, 46303, 281, 25514, 18496, 48125, 761, 289, 26911, 1027, 1793, 1330, 16374, 16, 3716, 478, 404, 272, 15549, 25798, 541, 1209, 24602, 289, 46688, 1440, 28600, 289, 16919, 861, 7100, 16, 4770, 1175, 7846, 3655, 5288, 39581, 451, 30596, 451, 11341, 473, 1009, 677, 983, 25074, 934, 31468, 46021, 990, 49473, 17713, 289, 1677, 43079, 289, 1038, 5769, 15549, 10823, 541, 24602, 4076, 11573, 2150, 18, 2949, 2493, 7385, 14392, 6732, 7846, 10569, 288, 2594, 6589, 8187, 451, 5851, 478, 684, 375, 1646, 910, 13759, 312, 17853, 309, 1209, 24258, 1728, 16374, 294, 4380, 18, 7100, 16, 4770, 1175, 4848, 290, 8187, 547, 27989, 478, 618, 1736, 23866, 910, 1276, 1249, 3413, 424, 5507, 14770, 478, 9049, 12635, 8120, 315, 470, 289, 1480, 547, 396, 14663, 46452, 33418, 27467, 18, 20409, 8301, 10049, 6617, 329, 16711, 289, 28967, 17815, 1003, 16, 2815, 4419, 282, 20175, 281, 391, 26448, 3203, 17, 3975, 36882, 4433, 12826, 48940, 289, 48689, 7884, 16, 5815, 4183, 25812, 10121, 385, 743, 523, 18, 478, 1140, 19874, 1800, 10569, 288, 2594, 7492, 8187, 309, 38257, 1003, 16, 2391, 289, 27162, 1122, 7908, 18, 4406, 13695, 3050, 4461, 478, 1916, 17, 7703, 910, 1586, 2397, 10569, 288, 2594, 23674, 7872, 289, 48120, 23543, 7431, 1286, 16, 25, 2634, 8482, 18, 889, 1320, 3730, 17853, 4781, 16, 515 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 924, 16, 753, 43971, 3678, 1174, 2459, 47431, 22350, 1147, 18457, 2221, 272, 18, 17369, 1137, 695, 16, 14734, 382, 473, 8108, 5234, 1769, 11511, 16, 5426, 289, 5413, 281, 9310, 6182, 25454, 814, 36748, 7097, 5426, 2239, 655, 15, 25, 5448, 16, 7760, 4668, 23, 655, 15, 28, 5448, 18, 23544, 20541, 23523, 1061, 443, 2479, 308, 19, 267, 16, 11440, 1409, 5041, 6322, 941, 266, 18, 422, 18, 7100, 282, 11084, 16, 3703, 4238, 16, 15583, 12644, 510, 1177, 1119, 24859, 23344, 36255, 20085, 3162, 24628, 18, 10105, 3187, 3328, 1964, 1305, 9090, 6050, 3806, 11972, 2221, 2110, 14838, 522, 281, 36903, 16, 1426, 3222, 322, 687, 40679, 30880, 16, 515, 289, 13367, 13535, 18, 5181, 16, 14734, 382, 475, 3066, 21704, 18, 24400, 1180, 27479, 44, 61, 996, 16, 5475, 813, 8232, 17119, 6197, 11511, 18, 36748, 7097, 5426, 2239, 655, 15, 25, 5448, 16, 7760, 4668, 27, 655, 15, 2783, 5448, 18, 23544, 9265, 17, 14099, 451, 816, 443, 28, 308, 19, 267, 16, 281, 8928, 979, 294, 18328, 519, 1061, 443, 2479, 308, 19, 267, 31, 11440, 1409, 6427, 6322, 941, 266, 18, 422, 2211, 5475, 14145, 29738, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 1175, 4732, 17035, 315, 19117, 3730, 14414, 10569, 288, 2594, 8205, 16293, 9996, 478, 618, 1736, 23866, 861, 2949, 924, 16, 282, 23268, 4196, 313, 1919, 9637, 25493, 47376, 541, 10678, 289, 19071, 16970, 1081, 10139, 18, 13699, 1880, 5472, 1472, 29993, 294, 44715, 7179, 6617, 37919, 27467, 18, 31224, 30, 31971, 1318, 662, 7225, 4433, 4551, 3110, 16, 374, 20694, 10139, 10569, 288, 2594, 7492, 9275, 26980, 478, 618, 1736, 23866, 470, 44953, 18, 365, 23032, 3781, 17, 14130, 9322, 11413, 13462, 16, 374, 5754, 7179, 23740, 315, 17, 29646, 434, 10139, 4732, 17035, 539, 8357, 978, 16970, 1081, 6617, 18, 12929, 377, 589, 3276, 36133, 1037, 979, 478, 618, 1736, 47900, 470, 1623, 3730, 17853, 17106, 2523, 11424, 4781, 510, 505, 9438, 3621, 309, 13179, 4335, 13289, 8482, 1195, 15467, 9576, 16, 371, 803, 5922, 10074, 281, 10569, 288, 2594, 6589, 12494, 18, 478, 618, 1736, 23866, 470, 8908, 16, 334, 3163, 45628, 16, 33996, 5630, 34199, 1033, 828, 282, 1939, 445, 18, 1787, 24507, 16, 20556, 13347, 778, 15325, 1458, 478, 8871, 3975, 280, 470, 2469, 4041, 9456, 1472, 282, 491, 16, 6091, 34199, 18, 2949, 924, 16, 282, 26023, 27246, 48484, 16, 374, 8187, 448, 5445, 37961, 10781, 478, 275, 3331, 15459, 3948, 6437, 296, 4929, 718, 17989, 470, 5179, 23268, 16968, 4732, 15730, 13961, 17213, 541, 10678, 289, 19071, 8187, 434, 10139, 18, 9051, 2856, 16, 4725, 9128, 30181, 472, 677, 26448, 334, 4154, 954, 6118, 17, 32743, 4210, 8741, 328, 1152, 16, 5851, 840, 18566, 309, 20319, 31102, 18, 2949, 924, 16, 17023, 7225, 1175, 6489, 576, 36054, 6573, 18427, 10569, 288, 2594, 6589, 13436, 478, 618, 1736, 23866, 861, 640, 5626, 21349, 2626, 1810, 1195, 39546, 13436, 309, 19911, 516, 20118, 289, 722, 15553, 411, 36058, 18, 889, 5487, 478, 675, 1936, 470, 26819, 8886, 478, 618, 1736, 47900, 861, 9263, 282, 28636, 4669, 2095, 5703, 343, 46589, 13331, 25520, 12609, 360, 13436, 17, 2248, 1731, 289, 7218, 539, 13759, 312, 3271, 371, 44766, 294, 1897, 416, 4380, 18, 4756, 7897, 282, 23740, 315, 17, 29646, 547, 27989, 3828, 6080, 478, 13261, 470, 1624, 374, 16970, 1712, 10569, 10499, 1285, 2232, 30349, 478, 618, 1736, 23866, 470, 840, 9727, 8991, 6164, 6087, 3328, 27516, 363, 2509, 38833, 18, 28567, 1335, 7435, 1314, 19423, 282, 391, 11920, 27440, 427, 18, 26959, 29558, 25381, 8340, 13551, 3741, 27516, 363, 1385, 35685, 291, 282, 4190, 387, 718, 32433, 18, 1409, 4209, 282, 4542, 478, 28495, 3851, 5625, 470, 4770, 1175, 4137, 6732, 2715, 309, 1247, 290, 4996, 16115, 16970, 1081, 7179, 6617, 18, 824, 505, 3163, 16, 10569, 288, 2594, 6589, 5447, 5862, 8187, 451, 5851, 478, 684, 375, 1646, 470, 726, 2353, 309, 38257, 16, 294, 26155, 1045, 309, 9324, 45111, 4461, 478, 618, 1736, 23866, 910, 367, 294, 25831, 510, 30349, 478, 563, 441, 7821, 861, 478, 5673, 452, 912, 12526, 510, 30349, 35920, 48108, 289, 8388, 451, 30596, 451, 11341, 18, 3759, 3227, 1235, 11918, 15129, 25514, 3811, 4946, 9588, 18, 8589, 764, 3888, 4465, 2048, 282, 12917, 304, 9484, 18, 9432, 3419, 1717, 334, 22623, 910, 510, 4725, 9805, 5222, 18, 6732, 1038, 15488, 16, 374, 5472, 45111, 309, 20319, 282, 3017, 18, 2949, 924, 16, 4770, 9299, 16, 374, 518, 16, 1085, 282, 481, 322, 19127, 16, 322, 29844, 289, 3255, 16, 2686, 481, 322, 40552, 1175, 6125, 5472, 18, 491, 3990, 4770, 1175, 4137, 6732, 16, 30543, 1188, 36569, 2732, 1525, 16, 15885, 16970, 1527, 24803, 32435, 20024, 18, 16102, 2756, 37328, 32885, 30349, 478, 563, 441, 7821, 910, 282, 34434, 9808, 8526, 13438, 428, 478, 563, 3997, 324, 17, 22, 861, 1253, 2394, 10516, 23113, 282, 46455, 16063, 8187, 451, 5851, 478, 6706, 512, 540, 861, 2949, 924, 16, 6732, 15885, 6402, 2392, 4603, 516, 46303, 281, 25514, 18496, 48125, 761, 289, 26911, 1027, 1793, 1330, 16374, 16, 3716, 478, 404, 272, 15549, 25798, 541, 1209, 24602, 289, 46688, 1440, 28600, 289, 16919, 861, 7100, 16, 4770, 1175, 7846, 3655, 5288, 39581, 451, 30596, 451, 11341, 473, 1009, 677, 983, 25074, 934, 31468, 46021, 990, 49473, 17713, 289, 1677, 43079, 289, 1038, 5769, 15549, 10823, 541, 24602, 4076, 11573, 2150, 18, 2949, 2493, 7385, 14392, 6732, 7846, 10569, 288, 2594, 6589, 8187, 451, 5851, 478, 684, 375, 1646, 910, 13759, 312, 17853, 309, 1209, 24258, 1728, 16374, 294, 4380, 18, 7100, 16, 4770, 1175, 4848, 290, 8187, 547, 27989, 478, 618, 1736, 23866, 910, 1276, 1249, 3413, 424, 5507, 14770, 478, 9049, 12635, 8120, 315, 470, 289, 1480, 547, 396, 14663, 46452, 33418, 27467, 18, 20409, 8301, 10049, 6617, 329, 16711, 289, 28967, 17815, 1003, 16, 2815, 4419, 282, 20175, 281, 391, 26448, 3203, 17, 3975, 36882, 4433, 12826, 48940, 289, 48689, 7884, 16, 5815, 4183, 25812, 10121, 385, 743, 523, 18, 478, 1140, 19874, 1800, 10569, 288, 2594, 7492, 8187, 309, 38257, 1003, 16, 2391, 289, 27162, 1122, 7908, 18, 4406, 13695, 3050, 4461, 478, 1916, 17, 7703, 910, 1586, 2397, 10569, 288, 2594, 23674, 7872, 289, 48120, 23543, 7431, 1286, 16, 25, 2634, 8482, 18, 889, 1320, 3730, 17853, 4781, 16, 515 ]
[ 492, 6476, 322, 294, 478, 684, 375, 1646, 272, 910, 367, 294, 478, 618, 1736, 4640, 554, 861, 889, 44745, 2301, 37328, 20141, 13436, 18, 2876, 329, 19874, 1055, 1329, 1003, 18, 1606, 687, 14855, 12966, 309, 22990, 2900, 6617, 33335, 42016, 910, 510, 3828, 492, 18, 967, 803, 5851, 478, 684, 375, 1646, 470, 726, 12175, 309, 20319, 7583, 4257, 18, 824, 3761, 727, 4742, 1624, 22734, 2620, 17, 41211, 2257, 3402, 1175, 281, 7847, 779, 10258, 1033, 23256, 30384, 46069, 45423, 265, 16, 1586, 9727, 8991, 4617, 4887, 478, 684, 375, 1646, 861, 3266, 3334, 5447, 8943, 898, 360, 3290, 318, 8266, 334, 5157, 954, 1897, 432, 18437, 432, 289, 18577, 9623, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 14683, 19287, 37637, 6235, 322, 1559, 3525, 41756, 267, 17639, 7064, 2001, 16, 14361, 309, 2768, 687, 1949, 1634, 13873, 18, 34272, 1712, 22747, 2016, 12381, 318, 43503, 19131, 1789, 1737, 401, 3253, 27458, 282, 16294, 16, 1272, 1888, 1218, 36918, 432, 14804, 44611, 17260, 18, 31224, 30, 33237, 7016, 509, 37637, 6235, 9467, 3064, 29002, 273, 4090, 44058, 5439, 18, 478, 10245, 566, 5439, 17869, 294, 43137, 282, 3877, 563, 2418, 18, 8174, 18, 13733, 30, 403, 7558, 1740, 1624, 43120, 2516, 1624, 403, 1447, 383, 675, 16, 415, 409, 14337, 16, 9703, 388, 778, 16, 6389, 283, 4083, 16, 20750, 8053, 16, 7399, 31234, 16, 8891, 1970, 910, 510, 3828, 282, 3177, 35872, 271, 2517, 15797, 9216, 3781, 17, 14130, 6937, 13526, 4944, 403, 1497, 7219, 18, 4210, 403, 7558, 1740, 651, 29001, 34462, 10910, 451, 9541, 17, 42459, 16, 8851, 9216, 14392, 13526, 11432, 7511, 400, 25734, 2041, 9651, 3340, 18, 2320, 6881, 478, 3045, 1116, 17131, 5325, 470, 5791, 16, 1029, 11218, 349, 26819, 282, 43771, 21989, 18, 385, 37637, 6235, 492, 23540, 567, 808, 505, 5119, 282, 14689, 1484, 16, 988, 329, 403, 7558, 6318, 685, 4211, 18, 817, 16, 428, 289, 37637, 6235, 16, 13829, 1360, 7178, 1330, 18, 403, 7558, 1740, 8018, 266, 282, 21989, 14943, 5530, 3583, 1624, 8337, 343, 2024, 906, 17453, 272, 2749, 18, 817, 12099, 3064, 282, 21989, 3586, 10539, 10036, 289, 3762, 28751, 16, 1717, 505, 18122, 281, 29108, 39493, 12381, 416, 43503, 40916, 4434, 2853, 282, 851, 962, 34774, 14829, 281, 17490, 933, 17421, 18, 10418, 1557, 662, 14327, 313, 1275, 14306, 289, 505, 3554, 282, 13638, 1833, 1011, 9512, 36743, 416, 22564, 4479, 443, 13733, 779, 16, 785, 309, 16043, 764, 16039, 322, 643, 616, 758, 3304, 6343, 16689, 276, 18, 824, 39394, 16, 41921, 583, 2944, 2963, 7146, 1087, 42885, 289, 6273, 282, 4211, 18, 32529, 9539, 3594, 4830, 334, 12448, 12384, 4210, 43120, 2516, 651, 11750, 13097, 14683, 16, 282, 8151, 8497, 17, 292, 5521, 5931, 282, 40745, 7234, 289, 6365, 31678, 14683, 16, 1029, 1655, 25512, 30667, 8099, 6365, 6096, 20828, 2440, 18, 17935, 4705, 986, 43120, 2516, 5931, 282, 3507, 16, 282, 3998, 6383, 17, 292, 25512, 528, 2375, 273, 16, 1011, 685, 44072, 6365, 18, 365, 17490, 1212, 21989, 492, 840, 12099, 1519, 24761, 4781, 18, 21728, 315, 10695, 2626, 6688, 9541, 17, 11174, 36810, 13536, 415, 409, 14740, 16, 4419, 4153, 735, 2822, 9770, 39743, 4781, 304, 289, 36855, 13526, 18, 817, 1038, 4502, 2195, 5345, 2389, 428, 16555, 309, 15369, 3162, 16, 7260, 16, 492, 3085, 3213, 349, 1807, 9770, 36855, 2001, 18, 22358, 16632, 368, 282, 17490, 1212, 21989, 651, 9829, 403, 1447, 383, 675, 1624, 8851, 8099, 10547, 18164, 5439, 371, 1614, 950, 38009, 523, 263, 289, 5530, 263, 5452, 274, 33816, 1624, 3465, 883, 13877, 37637, 6235, 30, 492, 685, 2076, 304, 474, 8108, 347, 334, 39743, 7546, 18, 817, 16, 428, 289, 403, 7558, 1740, 16, 7178, 286, 18, 403, 1447, 383, 675, 42511, 478, 19638, 45884, 470, 510, 48911, 289, 2181, 15834, 510, 4781, 282, 21989, 18, 17500, 36918, 549, 329, 25040, 9541, 17, 42459, 19131, 1789, 1737, 401, 1624, 29381, 43503, 1135, 16, 15998, 411, 9541, 17, 11174, 4042, 2632, 27458, 282, 16294, 16, 322, 24196, 12464, 18536, 37637, 6235, 18, 528, 2265, 4172, 282, 20011, 49557, 4836, 4272, 456, 1789, 1737, 1161, 16, 9288, 541, 30555, 478, 618, 7363, 40365, 910, 478, 18163, 382, 758, 4038, 4887, 861, 34141, 3457, 1617, 17260, 2019, 1577, 411, 12958, 630, 289, 1176, 411, 2411, 362, 19937, 44058, 5439, 16095, 8891, 1970, 1624, 12099, 17853, 40819, 4781, 16, 289, 7550, 9703, 388, 778, 1624, 5037, 7920, 334, 24889, 1087, 5234, 1518, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 16741, 282, 3507, 19988, 21951, 1803, 303, 540, 564, 510, 519, 4668, 6091, 723, 15, 4691, 5448, 385, 510, 289, 34049, 281, 5564, 1134, 18, 365, 10666, 282, 18168, 1858, 14828, 27902, 18, 31224, 30, 677, 10882, 34049, 282, 3507, 289, 1767, 8928, 1886, 16, 2805, 309, 15956, 41182, 18, 403, 11147, 18082, 18457, 2221, 16, 411, 17, 431, 2024, 309, 13519, 11056, 34049, 6884, 309, 4862, 289, 282, 15783, 18, 421, 781, 350, 1340, 18604, 4364, 5564, 276, 289, 11473, 10592, 420, 8523, 6978, 18, 365, 3507, 19988, 4668, 6091, 655, 15, 4691, 5448, 385, 16, 309, 15956, 289, 9265, 17, 31829, 1767, 16, 988, 14734, 382, 1747, 1033, 12625, 758, 16, 4668, 2932, 655, 15, 5759, 5448, 385, 16, 7299, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 365, 11877, 18457, 2221, 10232, 309, 6765, 3675, 4059, 877, 16, 34049, 10906, 37649, 758, 18, 640, 4625, 34691, 426, 305, 519, 4668, 6091, 655, 15, 6862, 5448, 385, 18, 32466, 840, 1137, 3412, 281, 20085, 39369, 16, 17119, 5564, 1505, 34049, 16, 12412, 360, 4668, 3940, 519, 4668, 2932, 5448, 385, 18, 365, 11084, 282, 7522, 1858, 14828, 27902, 510, 4668, 6475, 655, 15, 6894, 5448, 385, 18, 640, 13420, 11056, 27902, 4783, 1463, 18, 27247, 309, 10666, 840, 4668, 3114, 655, 15, 2932, 5448, 385, 18, 25740, 289, 282, 10666, 16, 289, 567, 12241, 34691, 426, 305, 519, 4668, 6475, 655, 15, 8914, 5448, 385, 18, 2660, 5364, 1858, 18222, 5564, 1505, 34049, 18, 365, 8151, 5576, 37816, 27039, 2020, 1578, 309, 9839, 17, 14099, 16, 4040, 2500, 14096, 968, 18, 27247, 4668, 3940, 655, 15, 1618, 5448, 385, 16, 7760, 4668, 5493, 655, 15, 6894, 5448, 385, 18, 11626, 17395, 42878, 847, 519, 9671, 276, 18, 365, 10973, 11084, 281, 9839, 17, 431, 6372 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 492, 6476, 322, 294, 478, 684, 375, 1646, 272, 910, 367, 294, 478, 618, 1736, 4640, 554, 861, 889, 44745, 2301, 37328, 20141, 13436, 18, 2876, 329, 19874, 1055, 1329, 1003, 18, 1606, 687, 14855, 12966, 309, 22990, 2900, 6617, 33335, 42016, 910, 510, 3828, 492, 18, 967, 803, 5851, 478, 684, 375, 1646, 470, 726, 12175, 309, 20319, 7583, 4257, 18, 824, 3761, 727, 4742, 1624, 22734, 2620, 17, 41211, 2257, 3402, 1175, 281, 7847, 779, 10258, 1033, 23256, 30384, 46069, 45423, 265, 16, 1586, 9727, 8991, 4617, 4887, 478, 684, 375, 1646, 861, 3266, 3334, 5447, 8943, 898, 360, 3290, 318, 8266, 334, 5157, 954, 1897, 432, 18437, 432, 289, 18577, 9623, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 14683, 19287, 37637, 6235, 322, 1559, 3525, 41756, 267, 17639, 7064, 2001, 16, 14361, 309, 2768, 687, 1949, 1634, 13873, 18, 34272, 1712, 22747, 2016, 12381, 318, 43503, 19131, 1789, 1737, 401, 3253, 27458, 282, 16294, 16, 1272, 1888, 1218, 36918, 432, 14804, 44611, 17260, 18, 31224, 30, 33237, 7016, 509, 37637, 6235, 9467, 3064, 29002, 273, 4090, 44058, 5439, 18, 478, 10245, 566, 5439, 17869, 294, 43137, 282, 3877, 563, 2418, 18, 8174, 18, 13733, 30, 403, 7558, 1740, 1624, 43120, 2516, 1624, 403, 1447, 383, 675, 16, 415, 409, 14337, 16, 9703, 388, 778, 16, 6389, 283, 4083, 16, 20750, 8053, 16, 7399, 31234, 16, 8891, 1970, 910, 510, 3828, 282, 3177, 35872, 271, 2517, 15797, 9216, 3781, 17, 14130, 6937, 13526, 4944, 403, 1497, 7219, 18, 4210, 403, 7558, 1740, 651, 29001, 34462, 10910, 451, 9541, 17, 42459, 16, 8851, 9216, 14392, 13526, 11432, 7511, 400, 25734, 2041, 9651, 3340, 18, 2320, 6881, 478, 3045, 1116, 17131, 5325, 470, 5791, 16, 1029, 11218, 349, 26819, 282, 43771, 21989, 18, 385, 37637, 6235, 492, 23540, 567, 808, 505, 5119, 282, 14689, 1484, 16, 988, 329, 403, 7558, 6318, 685, 4211, 18, 817, 16, 428, 289, 37637, 6235, 16, 13829, 1360, 7178, 1330, 18, 403, 7558, 1740, 8018, 266, 282, 21989, 14943, 5530, 3583, 1624, 8337, 343, 2024, 906, 17453, 272, 2749, 18, 817, 12099, 3064, 282, 21989, 3586, 10539, 10036, 289, 3762, 28751, 16, 1717, 505, 18122, 281, 29108, 39493, 12381, 416, 43503, 40916, 4434, 2853, 282, 851, 962, 34774, 14829, 281, 17490, 933, 17421, 18, 10418, 1557, 662, 14327, 313, 1275, 14306, 289, 505, 3554, 282, 13638, 1833, 1011, 9512, 36743, 416, 22564, 4479, 443, 13733, 779, 16, 785, 309, 16043, 764, 16039, 322, 643, 616, 758, 3304, 6343, 16689, 276, 18, 824, 39394, 16, 41921, 583, 2944, 2963, 7146, 1087, 42885, 289, 6273, 282, 4211, 18, 32529, 9539, 3594, 4830, 334, 12448, 12384, 4210, 43120, 2516, 651, 11750, 13097, 14683, 16, 282, 8151, 8497, 17, 292, 5521, 5931, 282, 40745, 7234, 289, 6365, 31678, 14683, 16, 1029, 1655, 25512, 30667, 8099, 6365, 6096, 20828, 2440, 18, 17935, 4705, 986, 43120, 2516, 5931, 282, 3507, 16, 282, 3998, 6383, 17, 292, 25512, 528, 2375, 273, 16, 1011, 685, 44072, 6365, 18, 365, 17490, 1212, 21989, 492, 840, 12099, 1519, 24761, 4781, 18, 21728, 315, 10695, 2626, 6688, 9541, 17, 11174, 36810, 13536, 415, 409, 14740, 16, 4419, 4153, 735, 2822, 9770, 39743, 4781, 304, 289, 36855, 13526, 18, 817, 1038, 4502, 2195, 5345, 2389, 428, 16555, 309, 15369, 3162, 16, 7260, 16, 492, 3085, 3213, 349, 1807, 9770, 36855, 2001, 18, 22358, 16632, 368, 282, 17490, 1212, 21989, 651, 9829, 403, 1447, 383, 675, 1624, 8851, 8099, 10547, 18164, 5439, 371, 1614, 950, 38009, 523, 263, 289, 5530, 263, 5452, 274, 33816, 1624, 3465, 883, 13877, 37637, 6235, 30, 492, 685, 2076, 304, 474, 8108, 347, 334, 39743, 7546, 18, 817, 16, 428, 289, 403, 7558, 1740, 16, 7178, 286, 18, 403, 1447, 383, 675, 42511, 478, 19638, 45884, 470, 510, 48911, 289, 2181, 15834, 510, 4781, 282, 21989, 18, 17500, 36918, 549, 329, 25040, 9541, 17, 42459, 19131, 1789, 1737, 401, 1624, 29381, 43503, 1135, 16, 15998, 411, 9541, 17, 11174, 4042, 2632, 27458, 282, 16294, 16, 322, 24196, 12464, 18536, 37637, 6235, 18, 528, 2265, 4172, 282, 20011, 49557, 4836, 4272, 456, 1789, 1737, 1161, 16, 9288, 541, 30555, 478, 618, 7363, 40365, 910, 478, 18163, 382, 758, 4038, 4887, 861, 34141, 3457, 1617, 17260, 2019, 1577, 411, 12958, 630, 289, 1176, 411, 2411, 362, 19937, 44058, 5439, 16095, 8891, 1970, 1624, 12099, 17853, 40819, 4781, 16, 289, 7550, 9703, 388, 778, 1624, 5037, 7920, 334, 24889, 1087, 5234, 1518, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 16741, 282, 3507, 19988, 21951, 1803, 303, 540, 564, 510, 519, 4668, 6091, 723, 15, 4691, 5448, 385, 510, 289, 34049, 281, 5564, 1134, 18, 365, 10666, 282, 18168, 1858, 14828, 27902, 18, 31224, 30, 677, 10882, 34049, 282, 3507, 289, 1767, 8928, 1886, 16, 2805, 309, 15956, 41182, 18, 403, 11147, 18082, 18457, 2221, 16, 411, 17, 431, 2024, 309, 13519, 11056, 34049, 6884, 309, 4862, 289, 282, 15783, 18, 421, 781, 350, 1340, 18604, 4364, 5564, 276, 289, 11473, 10592, 420, 8523, 6978, 18, 365, 3507, 19988, 4668, 6091, 655, 15, 4691, 5448, 385, 16, 309, 15956, 289, 9265, 17, 31829, 1767, 16, 988, 14734, 382, 1747, 1033, 12625, 758, 16, 4668, 2932, 655, 15, 5759, 5448, 385, 16, 7299, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 365, 11877, 18457, 2221, 10232, 309, 6765, 3675, 4059, 877, 16, 34049, 10906, 37649, 758, 18, 640, 4625, 34691, 426, 305, 519, 4668, 6091, 655, 15, 6862, 5448, 385, 18, 32466, 840, 1137, 3412, 281, 20085, 39369, 16, 17119, 5564, 1505, 34049, 16, 12412, 360, 4668, 3940, 519, 4668, 2932, 5448, 385, 18, 365, 11084, 282, 7522, 1858, 14828, 27902, 510, 4668, 6475, 655, 15, 6894, 5448, 385, 18, 640, 13420, 11056, 27902, 4783, 1463, 18, 27247, 309, 10666, 840, 4668, 3114, 655, 15, 2932, 5448, 385, 18, 25740, 289, 282, 10666, 16, 289, 567, 12241, 34691, 426, 305, 519, 4668, 6475, 655, 15, 8914, 5448, 385, 18, 2660, 5364, 1858, 18222, 5564, 1505, 34049, 18, 365, 8151, 5576, 37816, 27039, 2020, 1578, 309, 9839, 17, 14099, 16, 4040, 2500, 14096, 968, 18, 27247, 4668, 3940, 655, 15, 1618, 5448, 385, 16, 7760, 4668, 5493, 655, 15, 6894, 5448, 385, 18, 11626, 17395, 42878, 847, 519, 9671, 276, 18, 365, 10973, 11084, 281, 9839, 17, 431, 6372 ]
[ 282, 5549, 18082, 23337, 451, 5564, 1161, 12370, 16, 1803, 303, 540, 305, 519, 4668, 6091, 655, 15, 4691, 5448, 385, 18, 421, 781, 350, 1340, 15833, 16, 374, 21535, 451, 3672, 282, 13673, 4705, 2868, 840, 33996, 14077, 15238, 33884, 18, 10655, 4133, 2549, 539, 11440, 282, 10882, 31211, 847, 519, 1409, 10164, 384, 27, 8400, 6322, 941, 266, 18, 422, 498, 365, 11877, 40276, 519, 1409, 9869, 6322, 941, 266, 18, 422, 18, 365, 10666, 35471, 519, 1409, 9348, 6322, 941, 266, 18, 422, 16, 567, 12241, 510, 519, 1409, 8725, 6322, 941, 266, 18, 422, 18, 403, 3303, 877, 11440, 895, 33749, 39271, 6322, 941, 266, 18, 422, 18, 365, 20336, 11877, 2650, 31211, 847, 4686, 519, 1409, 9348, 6322, 941, 266, 18, 422, 2211, 282, 11084, 510, 519, 1409, 10164, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 13711, 572, 32852, 18, 1572, 13949, 9543, 44327, 1458, 37467, 2172, 18820, 2241, 18, 817, 3118, 9462, 9197, 309, 12996, 1888, 4772, 17, 1961, 10944, 18, 365, 32852, 18, 1572, 13949, 44327, 1458, 8731, 1190, 1472, 13373, 4523, 11446, 11400, 18, 31224, 30, 4298, 1502, 44327, 1458, 14084, 3059, 11050, 7067, 18820, 32852, 18, 1572, 13949, 289, 4223, 411, 7067, 18820, 2241, 16, 8977, 32852, 18, 8381, 13949, 18, 2320, 1756, 24687, 18165, 6187, 2241, 32852, 18, 8381, 13949, 6370, 5000, 5101, 1624, 3085, 6954, 289, 1423, 5750, 3675, 8892, 18, 478, 677, 31023, 281, 32852, 18, 8381, 656, 8056, 3084, 3971, 16, 10394, 281, 6175, 6143, 2241, 289, 519, 27842, 21490, 51, 282, 12838, 4479, 779, 18, 365, 5975, 808, 16, 2412, 274, 3059, 11050, 7067, 18820, 16, 417, 14402, 428, 7193, 567, 7410, 281, 48116, 5000, 460, 536, 16, 281, 3279, 656, 1974, 37636, 10845, 289, 396, 35385, 3714, 290, 3714, 1033, 1533, 986, 16, 25757, 5069, 4416, 9494, 289, 40755, 16, 367, 1038, 22401, 1857, 9218, 9382, 15584, 6591, 2204, 4568, 289, 14412, 19965, 18, 629, 3893, 16, 374, 1314, 7193, 32852, 18, 8381, 9298, 32404, 10975, 5325, 16, 753, 35428, 5575, 14259, 10645, 424, 9444, 15803, 910, 510, 15875, 44327, 7671, 3781, 17, 9952, 32852, 18, 1572, 13949, 18, 5000, 5101, 1038, 29608, 44327, 7671, 30, 478, 15609, 8219, 282, 5969, 2241, 14650, 3615, 277, 18, 1345, 50089, 1614, 5167, 20436, 282, 12996, 1130, 55, 56, 41057, 861, 11101, 16, 29381, 294, 1069, 876, 14958, 2241, 16, 3828, 478, 46088, 18, 8381, 910, 374, 44327, 1458, 3508, 3118, 26320, 309, 3705, 282, 1130, 55, 56, 41057, 289, 20676, 475, 8885, 309, 5969, 1888, 4772, 17, 1961, 10944, 18, 824, 3163, 15479, 16, 329, 44327, 7671, 6088, 478, 404, 22796, 4523, 470, 11446, 11400, 16, 1029, 492, 17899, 322, 15279, 18, 44327, 1458, 510, 1176, 411, 45628, 32852, 18, 1572, 13949, 18, 9418, 281, 12664, 16362, 727, 2976, 4309, 289, 48658, 1059, 36746, 492, 13504, 282, 9315, 1045, 10845, 1059, 980, 38, 14168, 16, 282, 2588, 40959, 4843, 27, 3324, 2634, 10355, 4076, 18, 365, 10841, 8439, 779, 1059, 980, 38, 14168, 24405, 701, 281, 17438, 18, 1572, 16, 1754, 35248, 31294, 32852, 18, 8381, 18, 44327, 1458, 1559, 6700, 27794, 2610, 5219, 1734, 2241, 18, 365, 12838, 4479, 779, 3785, 32852, 18, 8381, 13949, 13282, 35424, 539, 25033, 309, 15243, 680, 21767, 1624, 42557, 33598, 10845, 282, 4843, 25, 16, 12630, 5096, 18, 2112, 21490, 51, 44327, 1458, 14206, 491, 16, 10257, 9, 32852, 18, 1572, 13949, 16, 13798, 6705, 779, 492, 27937, 2239, 16, 28, 9, 411, 978, 28143, 18, 18197, 14456, 29186, 32852, 18, 1572, 13949, 510, 7362, 14018, 27977, 21676, 18, 5360, 17845, 4016, 16, 29, 9, 7799, 434, 14758, 16, 7640, 16, 24, 9, 12607, 18, 3739, 2555, 16, 28, 9, 14758, 2241, 289, 6603, 9, 12607, 329, 37501, 49674, 718, 2982, 1408, 303, 24546, 1059, 633, 84, 1284, 18, 32852, 18, 1572, 13949, 23414, 3417, 9, 4772, 17, 21512, 507, 32852, 18, 1572, 16, 21501, 4001, 1378, 17881, 34534, 53, 289, 8752, 5324, 478, 7798, 42645, 1157, 910, 30137, 9, 29121, 37289, 44, 1239, 1084, 18, 1572, 16, 11166, 16, 29, 9, 39768, 478, 24073, 910, 430, 16, 24, 9, 18990, 9806, 5099, 93, 3936, 69, 16, 1061, 16, 21, 9, 22779, 660, 2514, 21501, 13949, 461, 16, 3695, 16, 6654, 9, 8594, 9406, 21501, 6607, 77, 91, 77, 1624, 491, 16, 24, 9, 12202, 3045, 23437, 10249, 18, 365, 1130, 55, 56, 329, 27977, 1496, 401, 16, 334, 3761, 38341, 16, 2364, 6459, 5999, 1012, 344, 2147, 4772, 17, 21482, 24546, 32852, 18, 1572, 13949, 282, 4440, 1045, 18814, 309, 15882, 16, 26, 7418, 519, 4843, 25, 3940, 16, 29, 3763, 18, 824, 2856, 3286, 10091, 678, 18472, 11464, 1756, 2496, 5781, 4772, 17, 635, 32948, 1011, 478, 29464, 6852, 507, 470, 47568, 26, 7181, 3763, 814, 999, 11464, 27068, 485, 3785, 7601, 455, 4843, 6862, 26, 16, 28, 3763, 18, 33350, 572, 1302, 38, 24220, 18040, 7990, 567, 7422, 27068, 1290, 4440, 779, 309, 1760, 23, 16, 21, 7418, 519, 4843, 3902, 26, 16, 23, 3763, 18, 999, 1205, 1302, 38, 24220, 18040, 14231, 4843, 6862, 22, 16, 28, 3763, 510, 15497, 7990, 309, 2511, 26, 16, 28, 5999, 832, 264, 4708, 11049, 25142, 11726, 334, 8872, 779, 14231, 4843, 2932, 27, 16, 26, 3763, 16, 7083, 1752, 334, 7413, 281, 41050, 44391, 6705, 779, 309, 1760, 26, 16, 29, 5999, 999, 11464, 27068, 485, 4440, 779, 15497, 7990, 309, 2927, 16, 27, 7418, 519, 4843, 2783, 22, 16, 29, 3763, 18, 1012, 344, 2147, 3463, 360, 13185, 18814, 281, 4479, 779, 309, 21786, 9, 510, 281, 4843, 2783, 27, 16, 24, 3763, 519, 4843, 2932, 25, 16, 27, 3763, 282, 4440, 1045, 18, 640, 1962, 509, 668, 20775, 3711, 4843, 3940, 28, 16, 25, 3763, 510, 15497, 7990, 281, 4479, 779, 309, 18452, 9, 281, 4843, 17430, 16, 25, 3763, 18, 1012, 344, 2147, 360, 13294, 5785, 13185, 14231, 4843, 11672, 16, 22, 3763, 473, 5050, 1715, 309, 23308, 9, 281, 4843, 8976, 16, 29, 3763, 282, 4479, 1045, 814, 45032, 3785, 12254, 1211, 309, 9726, 4330, 289, 8063, 17, 4404, 292, 18, 1782, 454, 3222, 3131, 17204, 32852, 18, 8381, 13949, 4896, 4843, 28, 16, 21, 5096, 16, 6245, 1712, 3131, 32015, 478, 29464, 6852, 507, 470, 510, 4843, 27, 16, 26, 5096, 18, 2, 1, 87 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5549, 18082, 23337, 451, 5564, 1161, 12370, 16, 1803, 303, 540, 305, 519, 4668, 6091, 655, 15, 4691, 5448, 385, 18, 421, 781, 350, 1340, 15833, 16, 374, 21535, 451, 3672, 282, 13673, 4705, 2868, 840, 33996, 14077, 15238, 33884, 18, 10655, 4133, 2549, 539, 11440, 282, 10882, 31211, 847, 519, 1409, 10164, 384, 27, 8400, 6322, 941, 266, 18, 422, 498, 365, 11877, 40276, 519, 1409, 9869, 6322, 941, 266, 18, 422, 18, 365, 10666, 35471, 519, 1409, 9348, 6322, 941, 266, 18, 422, 16, 567, 12241, 510, 519, 1409, 8725, 6322, 941, 266, 18, 422, 18, 403, 3303, 877, 11440, 895, 33749, 39271, 6322, 941, 266, 18, 422, 18, 365, 20336, 11877, 2650, 31211, 847, 4686, 519, 1409, 9348, 6322, 941, 266, 18, 422, 2211, 282, 11084, 510, 519, 1409, 10164, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 13711, 572, 32852, 18, 1572, 13949, 9543, 44327, 1458, 37467, 2172, 18820, 2241, 18, 817, 3118, 9462, 9197, 309, 12996, 1888, 4772, 17, 1961, 10944, 18, 365, 32852, 18, 1572, 13949, 44327, 1458, 8731, 1190, 1472, 13373, 4523, 11446, 11400, 18, 31224, 30, 4298, 1502, 44327, 1458, 14084, 3059, 11050, 7067, 18820, 32852, 18, 1572, 13949, 289, 4223, 411, 7067, 18820, 2241, 16, 8977, 32852, 18, 8381, 13949, 18, 2320, 1756, 24687, 18165, 6187, 2241, 32852, 18, 8381, 13949, 6370, 5000, 5101, 1624, 3085, 6954, 289, 1423, 5750, 3675, 8892, 18, 478, 677, 31023, 281, 32852, 18, 8381, 656, 8056, 3084, 3971, 16, 10394, 281, 6175, 6143, 2241, 289, 519, 27842, 21490, 51, 282, 12838, 4479, 779, 18, 365, 5975, 808, 16, 2412, 274, 3059, 11050, 7067, 18820, 16, 417, 14402, 428, 7193, 567, 7410, 281, 48116, 5000, 460, 536, 16, 281, 3279, 656, 1974, 37636, 10845, 289, 396, 35385, 3714, 290, 3714, 1033, 1533, 986, 16, 25757, 5069, 4416, 9494, 289, 40755, 16, 367, 1038, 22401, 1857, 9218, 9382, 15584, 6591, 2204, 4568, 289, 14412, 19965, 18, 629, 3893, 16, 374, 1314, 7193, 32852, 18, 8381, 9298, 32404, 10975, 5325, 16, 753, 35428, 5575, 14259, 10645, 424, 9444, 15803, 910, 510, 15875, 44327, 7671, 3781, 17, 9952, 32852, 18, 1572, 13949, 18, 5000, 5101, 1038, 29608, 44327, 7671, 30, 478, 15609, 8219, 282, 5969, 2241, 14650, 3615, 277, 18, 1345, 50089, 1614, 5167, 20436, 282, 12996, 1130, 55, 56, 41057, 861, 11101, 16, 29381, 294, 1069, 876, 14958, 2241, 16, 3828, 478, 46088, 18, 8381, 910, 374, 44327, 1458, 3508, 3118, 26320, 309, 3705, 282, 1130, 55, 56, 41057, 289, 20676, 475, 8885, 309, 5969, 1888, 4772, 17, 1961, 10944, 18, 824, 3163, 15479, 16, 329, 44327, 7671, 6088, 478, 404, 22796, 4523, 470, 11446, 11400, 16, 1029, 492, 17899, 322, 15279, 18, 44327, 1458, 510, 1176, 411, 45628, 32852, 18, 1572, 13949, 18, 9418, 281, 12664, 16362, 727, 2976, 4309, 289, 48658, 1059, 36746, 492, 13504, 282, 9315, 1045, 10845, 1059, 980, 38, 14168, 16, 282, 2588, 40959, 4843, 27, 3324, 2634, 10355, 4076, 18, 365, 10841, 8439, 779, 1059, 980, 38, 14168, 24405, 701, 281, 17438, 18, 1572, 16, 1754, 35248, 31294, 32852, 18, 8381, 18, 44327, 1458, 1559, 6700, 27794, 2610, 5219, 1734, 2241, 18, 365, 12838, 4479, 779, 3785, 32852, 18, 8381, 13949, 13282, 35424, 539, 25033, 309, 15243, 680, 21767, 1624, 42557, 33598, 10845, 282, 4843, 25, 16, 12630, 5096, 18, 2112, 21490, 51, 44327, 1458, 14206, 491, 16, 10257, 9, 32852, 18, 1572, 13949, 16, 13798, 6705, 779, 492, 27937, 2239, 16, 28, 9, 411, 978, 28143, 18, 18197, 14456, 29186, 32852, 18, 1572, 13949, 510, 7362, 14018, 27977, 21676, 18, 5360, 17845, 4016, 16, 29, 9, 7799, 434, 14758, 16, 7640, 16, 24, 9, 12607, 18, 3739, 2555, 16, 28, 9, 14758, 2241, 289, 6603, 9, 12607, 329, 37501, 49674, 718, 2982, 1408, 303, 24546, 1059, 633, 84, 1284, 18, 32852, 18, 1572, 13949, 23414, 3417, 9, 4772, 17, 21512, 507, 32852, 18, 1572, 16, 21501, 4001, 1378, 17881, 34534, 53, 289, 8752, 5324, 478, 7798, 42645, 1157, 910, 30137, 9, 29121, 37289, 44, 1239, 1084, 18, 1572, 16, 11166, 16, 29, 9, 39768, 478, 24073, 910, 430, 16, 24, 9, 18990, 9806, 5099, 93, 3936, 69, 16, 1061, 16, 21, 9, 22779, 660, 2514, 21501, 13949, 461, 16, 3695, 16, 6654, 9, 8594, 9406, 21501, 6607, 77, 91, 77, 1624, 491, 16, 24, 9, 12202, 3045, 23437, 10249, 18, 365, 1130, 55, 56, 329, 27977, 1496, 401, 16, 334, 3761, 38341, 16, 2364, 6459, 5999, 1012, 344, 2147, 4772, 17, 21482, 24546, 32852, 18, 1572, 13949, 282, 4440, 1045, 18814, 309, 15882, 16, 26, 7418, 519, 4843, 25, 3940, 16, 29, 3763, 18, 824, 2856, 3286, 10091, 678, 18472, 11464, 1756, 2496, 5781, 4772, 17, 635, 32948, 1011, 478, 29464, 6852, 507, 470, 47568, 26, 7181, 3763, 814, 999, 11464, 27068, 485, 3785, 7601, 455, 4843, 6862, 26, 16, 28, 3763, 18, 33350, 572, 1302, 38, 24220, 18040, 7990, 567, 7422, 27068, 1290, 4440, 779, 309, 1760, 23, 16, 21, 7418, 519, 4843, 3902, 26, 16, 23, 3763, 18, 999, 1205, 1302, 38, 24220, 18040, 14231, 4843, 6862, 22, 16, 28, 3763, 510, 15497, 7990, 309, 2511, 26, 16, 28, 5999, 832, 264, 4708, 11049, 25142, 11726, 334, 8872, 779, 14231, 4843, 2932, 27, 16, 26, 3763, 16, 7083, 1752, 334, 7413, 281, 41050, 44391, 6705, 779, 309, 1760, 26, 16, 29, 5999, 999, 11464, 27068, 485, 4440, 779, 15497, 7990, 309, 2927, 16, 27, 7418, 519, 4843, 2783, 22, 16, 29, 3763, 18, 1012, 344, 2147, 3463, 360, 13185, 18814, 281, 4479, 779, 309, 21786, 9, 510, 281, 4843, 2783, 27, 16, 24, 3763, 519, 4843, 2932, 25, 16, 27, 3763, 282, 4440, 1045, 18, 640, 1962, 509, 668, 20775, 3711, 4843, 3940, 28, 16, 25, 3763, 510, 15497, 7990, 281, 4479, 779, 309, 18452, 9, 281, 4843, 17430, 16, 25, 3763, 18, 1012, 344, 2147, 360, 13294, 5785, 13185, 14231, 4843, 11672, 16, 22, 3763, 473, 5050, 1715, 309, 23308, 9, 281, 4843, 8976, 16, 29, 3763, 282, 4479, 1045, 814, 45032, 3785, 12254, 1211, 309, 9726, 4330, 289, 8063, 17, 4404, 292, 18, 1782, 454, 3222, 3131, 17204, 32852, 18, 8381, 13949, 4896, 4843, 28, 16, 21, 5096, 16, 6245, 1712, 3131, 32015, 478, 29464, 6852, 507, 470, 510, 4843, 27, 16, 26, 5096, 18, 2, 1, 87 ]
[ 1456, 81, 2448, 30, 789, 2094, 22689, 1162, 15149, 274, 10050, 9469, 17, 34891, 477, 2299, 6067, 15781, 19904, 403, 1191, 10706, 16, 515, 322, 3084, 3232, 37282, 5168, 761, 16, 428, 942, 639, 373, 13446, 16, 367, 15037, 416, 23184, 2206, 424, 7848, 478, 8871, 1282, 29781, 266, 470, 411, 1949, 6623, 289, 2059, 43766, 1383, 264, 13788, 265, 18, 31224, 30, 677, 10181, 292, 12250, 22689, 680, 37319, 309, 8773, 1212, 365, 1918, 16835, 1871, 9756, 19904, 403, 1191, 10706, 510, 478, 7530, 6809, 783, 4855, 26, 470, 289, 478, 7530, 6809, 783, 4855, 27, 861, 17580, 12030, 3857, 2122, 2603, 4164, 282, 12250, 22689, 582, 16, 4698, 510, 21538, 411, 46371, 626, 18, 5333, 31718, 3328, 25289, 11663, 10050, 9469, 17, 34891, 403, 1191, 10706, 18, 1591, 43398, 1070, 30752, 323, 8660, 617, 23184, 5355, 49681, 29197, 1250, 15119, 26454, 30439, 15170, 23316, 18, 8071, 34685, 29589, 745, 21905, 12177, 478, 551, 460, 2535, 470, 14443, 15781, 16, 26006, 14770, 505, 13338, 13755, 16, 10927, 697, 282, 22239, 12071, 510, 31342, 16, 2024, 12503, 4055, 986, 473, 49646, 4443, 5683, 1011, 17751, 3084, 46769, 3452, 6773, 403, 1191, 10706, 282, 528, 789, 1009, 814, 632, 312, 7768, 29197, 1250, 1966, 21894, 537, 1143, 537, 3440, 428, 478, 599, 48884, 2110, 19114, 861, 36571, 16, 541, 4116, 6169, 2794, 449, 2607, 10317, 912, 16, 4465, 16, 477, 1267, 2508, 2089, 34732, 16, 510, 24967, 18, 478, 7530, 6809, 553, 910, 1639, 35614, 3103, 473, 267, 12819, 334, 2554, 934, 510, 481, 12584, 448, 17902, 448, 50116, 1262, 403, 1191, 10706, 16, 492, 23777, 294, 1498, 567, 808, 4095, 27431, 2849, 291, 18, 26605, 3465, 2636, 411, 23201, 6379, 478, 7530, 6809, 1437, 470, 25487, 8087, 28162, 12260, 16, 3186, 23763, 510, 13946, 17, 277, 18, 1782, 16, 374, 1800, 36653, 282, 12250, 22689, 582, 16, 23160, 3989, 5777, 11956, 289, 41659, 541, 26409, 2926, 403, 1191, 10706, 18, 1606, 2812, 751, 309, 15831, 451, 2083, 505, 26409, 31094, 510, 492, 5548, 23571, 709, 281, 5219, 979, 7269, 12611, 1356, 478, 983, 643, 33032, 4250, 305, 910, 1715, 9416, 13049, 282, 6065, 547, 773, 9771, 7487, 7292, 45232, 478, 14237, 883, 50237, 470, 289, 10565, 16, 309, 1269, 986, 16, 15732, 294, 22950, 7310, 24069, 18, 5533, 23722, 1437, 22950, 7113, 6623, 403, 1191, 10706, 5092, 24590, 5502, 18, 12626, 30607, 381, 697, 5492, 289, 43159, 16, 290, 37269, 4608, 32609, 289, 1480, 263, 24266, 939, 8617, 583, 14413, 18, 365, 1634, 4437, 2166, 292, 541, 26689, 492, 428, 17, 299, 4933, 22377, 4041, 360, 12034, 2009, 22075, 294, 1335, 24069, 289, 360, 13649, 1460, 2585, 722, 21823, 18, 45732, 9756, 6166, 7530, 6809, 553, 4855, 38711, 9979, 492, 9112, 18398, 453, 30, 478, 7148, 348, 539, 7814, 30424, 289, 24665, 622, 5609, 883, 942, 12741, 16, 3057, 16, 282, 8401, 1053, 1161, 41349, 18, 9215, 16, 34969, 13443, 2808, 16, 3164, 322, 8690, 289, 322, 3964, 16, 492, 988, 17, 299, 861, 478, 7530, 6809, 1066, 4855, 27, 470, 5184, 13202, 1519, 322, 19060, 16, 515, 22140, 21648, 7557, 16893, 1122, 9616, 6158, 434, 2299, 16, 38613, 1229, 4290, 16, 8860, 718, 17339, 289, 38105, 1443, 411, 24345, 18, 459, 481, 475, 43272, 312, 1024, 30, 22950, 783, 510, 15042, 37974, 1477, 513, 14720, 16, 282, 1420, 942, 3089, 16097, 309, 9874, 30403, 18, 365, 21283, 2222, 528, 789, 1009, 411, 5279, 16960, 30109, 15119, 18, 3026, 32727, 4071, 448, 43163, 450, 18, 21916, 2688, 401, 289, 586, 18, 12067, 483, 680, 16, 986, 15007, 1354, 289, 14443, 403, 1191, 10706, 16, 11860, 382, 411, 505, 11123, 5473, 904, 18, 415, 18860, 5425, 10672, 764, 1215, 374, 18, 12250, 22689, 1162, 15149, 274, 282, 5975, 808, 12341, 6521, 23184, 18302, 11846, 5613, 18, 824, 37889, 281, 403, 1191, 375, 1703, 5911, 16005, 12652, 549, 20450, 16190, 15781, 528, 14807, 3138, 452, 342, 16, 3814, 291, 5103, 31747, 401, 6205, 47723, 4480, 5613, 6636, 2632, 18061, 289, 34449, 22767, 1015, 18, 2124, 47326, 21860, 282, 12071, 4116, 24695, 1756, 16, 374, 9707, 20640, 516, 3145, 27987, 281, 36860, 306, 16, 2332, 1754, 16, 428, 942, 49943, 16, 20450, 289, 4208, 798, 18, 385, 403, 1191, 375, 1703, 3621, 374, 17, 299, 10647, 18, 31271, 5331, 6636, 1250, 9603, 542, 37554, 326, 32144, 289, 4210, 688, 348, 363, 27158, 282, 6900, 387, 2947, 454, 411, 1949, 22549, 483, 18, 365, 2615, 2349, 5740, 7173, 448, 8320, 1250, 16, 309, 1639, 16835, 4465, 403, 1191, 10706, 16, 11563, 15102, 4679, 478, 7530, 6809, 7715, 470, 25430, 779, 16, 567, 2992, 510, 8647, 1272, 17902, 432, 29589, 18, 1787, 7658, 4365, 1356, 282, 351, 3462, 8149, 4726, 10400, 26995, 16, 25355, 32567, 17042, 695, 16, 8468, 541, 46619, 1437, 16, 961, 26454, 29197, 1250, 16, 510, 4302, 18, 3557, 315, 289, 16258, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 10337, 549, 13143, 13282, 1684, 1465, 282, 32100, 40745, 334, 32452, 582, 289, 10729, 1147, 27469, 18, 48331, 4266, 16, 374, 20733, 6549, 16, 11419, 281, 47280, 9759, 40429, 7785, 6390, 4779, 12915, 18, 27149, 9780, 349, 16129, 294, 13109, 27224, 4002, 4681, 18, 31224, 30, 677, 10666, 36560, 24862, 3594, 8231, 1175, 334, 15970, 17, 14099, 1147, 10337, 1147, 26588, 473, 9693, 8231, 334, 385, 1295, 18175, 13, 10258, 1684, 1465, 282, 15347, 7920, 334, 32452, 582, 289, 10729, 1147, 27469, 6937, 14683, 1624, 2983, 10194, 334, 12279, 31583, 11303, 5269, 16, 914, 1032, 18, 48942, 17774, 5291, 9961, 1694, 478, 627, 328, 470, 289, 322, 4266, 16, 281, 828, 17405, 685, 14736, 10980, 294, 32452, 1876, 18, 478, 677, 40745, 334, 32452, 582, 8837, 802, 6549, 16, 11419, 281, 47280, 9759, 40429, 282, 40134, 17, 39698, 1809, 6491, 16, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 11552, 8231, 334, 385, 1295, 18175, 7550, 415, 554, 8863, 18, 651, 1303, 7312, 282, 4301, 5072, 1697, 2209, 10438, 16, 11969, 1743, 322, 18966, 18, 8281, 24977, 541, 10438, 2756, 2204, 10913, 5825, 861, 824, 3163, 415, 554, 8863, 16, 994, 13499, 15423, 5825, 290, 1230, 328, 5394, 947, 2662, 16, 11940, 477, 40372, 289, 13888, 2206, 7868, 10729, 416, 17213, 5579, 17, 14723, 16, 367, 1038, 281, 35287, 334, 13148, 294, 13109, 27224, 48597, 18, 2333, 788, 2257, 3320, 16, 6133, 8343, 862, 13391, 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 ]
[ 1456, 81, 2448, 30, 789, 2094, 22689, 1162, 15149, 274, 10050, 9469, 17, 34891, 477, 2299, 6067, 15781, 19904, 403, 1191, 10706, 16, 515, 322, 3084, 3232, 37282, 5168, 761, 16, 428, 942, 639, 373, 13446, 16, 367, 15037, 416, 23184, 2206, 424, 7848, 478, 8871, 1282, 29781, 266, 470, 411, 1949, 6623, 289, 2059, 43766, 1383, 264, 13788, 265, 18, 31224, 30, 677, 10181, 292, 12250, 22689, 680, 37319, 309, 8773, 1212, 365, 1918, 16835, 1871, 9756, 19904, 403, 1191, 10706, 510, 478, 7530, 6809, 783, 4855, 26, 470, 289, 478, 7530, 6809, 783, 4855, 27, 861, 17580, 12030, 3857, 2122, 2603, 4164, 282, 12250, 22689, 582, 16, 4698, 510, 21538, 411, 46371, 626, 18, 5333, 31718, 3328, 25289, 11663, 10050, 9469, 17, 34891, 403, 1191, 10706, 18, 1591, 43398, 1070, 30752, 323, 8660, 617, 23184, 5355, 49681, 29197, 1250, 15119, 26454, 30439, 15170, 23316, 18, 8071, 34685, 29589, 745, 21905, 12177, 478, 551, 460, 2535, 470, 14443, 15781, 16, 26006, 14770, 505, 13338, 13755, 16, 10927, 697, 282, 22239, 12071, 510, 31342, 16, 2024, 12503, 4055, 986, 473, 49646, 4443, 5683, 1011, 17751, 3084, 46769, 3452, 6773, 403, 1191, 10706, 282, 528, 789, 1009, 814, 632, 312, 7768, 29197, 1250, 1966, 21894, 537, 1143, 537, 3440, 428, 478, 599, 48884, 2110, 19114, 861, 36571, 16, 541, 4116, 6169, 2794, 449, 2607, 10317, 912, 16, 4465, 16, 477, 1267, 2508, 2089, 34732, 16, 510, 24967, 18, 478, 7530, 6809, 553, 910, 1639, 35614, 3103, 473, 267, 12819, 334, 2554, 934, 510, 481, 12584, 448, 17902, 448, 50116, 1262, 403, 1191, 10706, 16, 492, 23777, 294, 1498, 567, 808, 4095, 27431, 2849, 291, 18, 26605, 3465, 2636, 411, 23201, 6379, 478, 7530, 6809, 1437, 470, 25487, 8087, 28162, 12260, 16, 3186, 23763, 510, 13946, 17, 277, 18, 1782, 16, 374, 1800, 36653, 282, 12250, 22689, 582, 16, 23160, 3989, 5777, 11956, 289, 41659, 541, 26409, 2926, 403, 1191, 10706, 18, 1606, 2812, 751, 309, 15831, 451, 2083, 505, 26409, 31094, 510, 492, 5548, 23571, 709, 281, 5219, 979, 7269, 12611, 1356, 478, 983, 643, 33032, 4250, 305, 910, 1715, 9416, 13049, 282, 6065, 547, 773, 9771, 7487, 7292, 45232, 478, 14237, 883, 50237, 470, 289, 10565, 16, 309, 1269, 986, 16, 15732, 294, 22950, 7310, 24069, 18, 5533, 23722, 1437, 22950, 7113, 6623, 403, 1191, 10706, 5092, 24590, 5502, 18, 12626, 30607, 381, 697, 5492, 289, 43159, 16, 290, 37269, 4608, 32609, 289, 1480, 263, 24266, 939, 8617, 583, 14413, 18, 365, 1634, 4437, 2166, 292, 541, 26689, 492, 428, 17, 299, 4933, 22377, 4041, 360, 12034, 2009, 22075, 294, 1335, 24069, 289, 360, 13649, 1460, 2585, 722, 21823, 18, 45732, 9756, 6166, 7530, 6809, 553, 4855, 38711, 9979, 492, 9112, 18398, 453, 30, 478, 7148, 348, 539, 7814, 30424, 289, 24665, 622, 5609, 883, 942, 12741, 16, 3057, 16, 282, 8401, 1053, 1161, 41349, 18, 9215, 16, 34969, 13443, 2808, 16, 3164, 322, 8690, 289, 322, 3964, 16, 492, 988, 17, 299, 861, 478, 7530, 6809, 1066, 4855, 27, 470, 5184, 13202, 1519, 322, 19060, 16, 515, 22140, 21648, 7557, 16893, 1122, 9616, 6158, 434, 2299, 16, 38613, 1229, 4290, 16, 8860, 718, 17339, 289, 38105, 1443, 411, 24345, 18, 459, 481, 475, 43272, 312, 1024, 30, 22950, 783, 510, 15042, 37974, 1477, 513, 14720, 16, 282, 1420, 942, 3089, 16097, 309, 9874, 30403, 18, 365, 21283, 2222, 528, 789, 1009, 411, 5279, 16960, 30109, 15119, 18, 3026, 32727, 4071, 448, 43163, 450, 18, 21916, 2688, 401, 289, 586, 18, 12067, 483, 680, 16, 986, 15007, 1354, 289, 14443, 403, 1191, 10706, 16, 11860, 382, 411, 505, 11123, 5473, 904, 18, 415, 18860, 5425, 10672, 764, 1215, 374, 18, 12250, 22689, 1162, 15149, 274, 282, 5975, 808, 12341, 6521, 23184, 18302, 11846, 5613, 18, 824, 37889, 281, 403, 1191, 375, 1703, 5911, 16005, 12652, 549, 20450, 16190, 15781, 528, 14807, 3138, 452, 342, 16, 3814, 291, 5103, 31747, 401, 6205, 47723, 4480, 5613, 6636, 2632, 18061, 289, 34449, 22767, 1015, 18, 2124, 47326, 21860, 282, 12071, 4116, 24695, 1756, 16, 374, 9707, 20640, 516, 3145, 27987, 281, 36860, 306, 16, 2332, 1754, 16, 428, 942, 49943, 16, 20450, 289, 4208, 798, 18, 385, 403, 1191, 375, 1703, 3621, 374, 17, 299, 10647, 18, 31271, 5331, 6636, 1250, 9603, 542, 37554, 326, 32144, 289, 4210, 688, 348, 363, 27158, 282, 6900, 387, 2947, 454, 411, 1949, 22549, 483, 18, 365, 2615, 2349, 5740, 7173, 448, 8320, 1250, 16, 309, 1639, 16835, 4465, 403, 1191, 10706, 16, 11563, 15102, 4679, 478, 7530, 6809, 7715, 470, 25430, 779, 16, 567, 2992, 510, 8647, 1272, 17902, 432, 29589, 18, 1787, 7658, 4365, 1356, 282, 351, 3462, 8149, 4726, 10400, 26995, 16, 25355, 32567, 17042, 695, 16, 8468, 541, 46619, 1437, 16, 961, 26454, 29197, 1250, 16, 510, 4302, 18, 3557, 315, 289, 16258, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 10337, 549, 13143, 13282, 1684, 1465, 282, 32100, 40745, 334, 32452, 582, 289, 10729, 1147, 27469, 18, 48331, 4266, 16, 374, 20733, 6549, 16, 11419, 281, 47280, 9759, 40429, 7785, 6390, 4779, 12915, 18, 27149, 9780, 349, 16129, 294, 13109, 27224, 4002, 4681, 18, 31224, 30, 677, 10666, 36560, 24862, 3594, 8231, 1175, 334, 15970, 17, 14099, 1147, 10337, 1147, 26588, 473, 9693, 8231, 334, 385, 1295, 18175, 13, 10258, 1684, 1465, 282, 15347, 7920, 334, 32452, 582, 289, 10729, 1147, 27469, 6937, 14683, 1624, 2983, 10194, 334, 12279, 31583, 11303, 5269, 16, 914, 1032, 18, 48942, 17774, 5291, 9961, 1694, 478, 627, 328, 470, 289, 322, 4266, 16, 281, 828, 17405, 685, 14736, 10980, 294, 32452, 1876, 18, 478, 677, 40745, 334, 32452, 582, 8837, 802, 6549, 16, 11419, 281, 47280, 9759, 40429, 282, 40134, 17, 39698, 1809, 6491, 16, 510, 1109, 478, 46088, 18, 8381, 470, 5854, 11552, 8231, 334, 385, 1295, 18175, 7550, 415, 554, 8863, 18, 651, 1303, 7312, 282, 4301, 5072, 1697, 2209, 10438, 16, 11969, 1743, 322, 18966, 18, 8281, 24977, 541, 10438, 2756, 2204, 10913, 5825, 861, 824, 3163, 415, 554, 8863, 16, 994, 13499, 15423, 5825, 290, 1230, 328, 5394, 947, 2662, 16, 11940, 477, 40372, 289, 13888, 2206, 7868, 10729, 416, 17213, 5579, 17, 14723, 16, 367, 1038, 281, 35287, 334, 13148, 294, 13109, 27224, 48597, 18, 2333, 788, 2257, 3320, 16, 6133, 8343, 862, 13391, 16 ]
[ 5854, 11552, 8231, 334, 385, 1295, 18175, 12498, 322, 1559, 18, 967, 803, 492, 41847, 5241, 1453, 1511, 14768, 37422, 282, 10666, 5024, 290, 970, 16, 374, 1684, 1465, 26727, 289, 282, 14601, 547, 40745, 8454, 10358, 18, 4338, 12101, 46026, 282, 8454, 35484, 16, 334, 3025, 19175, 16, 322, 4722, 18, 478, 563, 2759, 1963, 1747, 764, 3193, 282, 4301, 1335, 10438, 910, 510, 22618, 415, 554, 8863, 18, 365, 6233, 322, 5285, 5832, 16, 374, 16511, 10438, 895, 1852, 34488, 14132, 1101, 18, 365, 2456, 40745, 334, 32452, 582, 289, 10729, 1147, 27469, 478, 46088, 18, 8381, 470, 23051, 16, 374, 1684, 820, 428, 453, 4593, 322, 639, 16, 367, 41133, 478, 8844, 262, 4435, 1817, 6702, 861, 478, 8572, 736, 272, 8811, 7920, 322, 18470, 1166, 16, 510, 2323, 478, 46088, 18, 8381, 470, 5854, 7920, 18, 510, 403, 7579, 5726, 322, 30689, 16, 2700, 15389, 322, 1968, 1166, 16, 6814, 6233, 656, 935, 289, 322, 6418, 861, 48331, 3515, 521, 3306, 282, 11285, 16, 785, 505, 9216, 6820, 282, 45379, 18, 824, 3163, 7725, 2203, 16, 8624, 7920, 25065, 9969, 478, 280, 1864, 326, 1211, 13638, 289, 11981, 309, 2768, 4505, 16, 1281, 3597, 861, 3397, 10722, 6677, 7920, 41996, 8973, 450, 1042, 523, 1624, 2615, 9128, 41124, 18, 8287, 1465, 282, 40745, 16, 1029, 8671, 9780, 349, 16129, 294, 13109, 27224, 4002, 4681, 16, 322, 1966, 36943, 14327, 313, 4287, 1329, 10583, 18, 14957, 21708, 294, 6861, 2903, 3326, 10268, 6059, 12010, 4018, 384, 11276, 30, 4275, 412, 3847, 18604, 4364, 15865, 2870, 291, 282, 3580, 289, 1767, 726, 282, 12838, 510, 2388, 5024, 309, 13519, 11056, 25105, 1475, 5037, 8308, 22214, 620, 871, 3720, 727, 269, 2347, 18, 967, 803, 9541, 17, 42459, 4210, 403, 7558, 1740, 1624, 18191, 1815, 349, 23470, 14683, 16, 282, 7337, 33803, 1703, 5792, 15323, 2815, 16, 374, 1332, 294, 4099, 263, 322, 2259, 30, 478, 30145, 487, 5600, 8543, 10535, 16, 282, 970, 2875, 14627, 14764, 5036, 910, 510, 19755, 403, 7558, 1740, 282, 3998, 3597, 4018, 779, 18, 4756, 37972, 9597, 19521, 5502, 35439, 334, 1804, 2675, 46967, 360, 47189, 19322, 18101, 14297, 5579, 17, 14723, 411, 17, 431, 14576, 309, 5036, 12812, 17537, 18, 365, 4810, 16, 282, 12500, 4018, 779, 349, 8329, 8729, 4243, 1833, 1293, 14576, 282, 4402, 589, 315, 16, 282, 3198, 1660, 749, 13780, 6933, 2364, 10848, 2634, 1135, 18, 832, 1850, 1580, 14314, 282, 6031, 38343, 326, 18, 15970, 17, 18876, 539, 8554, 5675, 843, 292, 21100, 334, 8872, 10438, 16, 2454, 1734, 1974, 281, 8797, 9381, 1624, 49265, 6191, 309, 39271, 2634, 2791, 19782, 47189, 305, 355, 651, 36992, 2802, 3430, 539, 14591, 473, 9693, 672, 13, 478, 789, 412, 326, 1242, 17, 48457, 509, 5851, 5579, 17, 14723, 470, 473, 789, 28249, 17869, 31, 3164, 282, 40400, 7920, 334, 32452, 582, 814, 8444, 9321, 16, 374, 8649, 9402, 14576, 2438, 47173, 647, 5296, 5036, 18, 7537, 18966, 11969, 1743, 334, 7705, 3703, 28, 327, 18, 430, 11828, 2407, 478, 5786, 911, 3162, 904, 670, 34578, 5117, 16, 322, 18191, 1587, 13979, 3623, 861, 6729, 2837, 13742, 334, 1335, 7705, 510, 1272, 779, 17703, 8124, 18, 7743, 475, 764, 6347, 9480, 18, 365, 40400, 7920, 334, 32452, 582, 6535, 11552, 672, 478, 37165, 368, 25293, 5579, 17, 14723, 470, 1624, 11552, 672, 478, 789, 412, 326, 1242, 17, 48457, 509, 5851, 5579, 17, 14723, 910, 5579, 17, 9400, 1880, 11552, 672, 471, 1098, 9192, 577, 910, 5579, 17, 9400, 1880, 11552, 672, 478, 672, 14173, 778, 3609, 326, 1242, 17, 48457, 509, 5851, 910, 5579, 17, 9400, 1880, 36992, 22718, 478, 1140, 35215, 23946, 334, 25005, 289, 3131, 9885, 28442, 7868, 6446, 9056, 17, 48457, 346, 10139, 861, 7106, 16, 282, 13324, 726, 6347, 9480, 3275, 2844, 11969, 1743, 16, 42304, 281, 5410, 476, 2661, 18, 7743, 18966, 334, 13229, 3320, 3280, 434, 15948, 281, 5173, 5153, 2005, 27526, 4076, 371, 14885, 15003, 21812, 37086, 5520, 473, 6308, 822, 814, 38062, 5120, 616, 2389, 3929, 24671, 27713, 2241, 478, 1182, 46712, 910, 48253, 1027, 5410, 26726, 309, 7955, 23324, 822, 282, 5049, 1045, 18, 7743, 8643, 10118, 994, 3774, 8554, 473, 1009, 15683, 13, 8231, 334, 5579, 17, 5147, 877, 289, 23856, 1767, 18, 967, 14885, 15003, 21812, 37086, 5520, 3005, 953, 48098, 1007, 2364, 2511, 5096, 2791, 18, 3138, 1005, 5862, 994, 8643, 282, 7522, 30, 334, 3761, 11861, 16, 282, 2463, 1698, 953, 24076, 318, 19516, 15678, 25812, 16, 2470, 2508, 10451, 548, 281, 4286, 30946, 25522, 18, 4802, 10292, 16, 25170, 1743, 16, 11680, 16, 374, 773, 322, 23871, 28780, 519, 47889, 11340, 4669, 35534, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 10882, 41532, 4722, 11918, 478, 47963, 1018, 17, 21, 470, 510, 16130, 17, 960, 22643, 18, 640, 5606, 1949, 24998, 349, 3629, 292, 18952, 5539, 46850, 41124, 282, 478, 1098, 370, 948, 17, 730, 1569, 470, 14853, 266, 4657, 5987, 286, 528, 2546, 363, 18, 39952, 16, 374, 12758, 9192, 5002, 2611, 310, 435, 6166, 1140, 696, 2078, 267, 9979, 24905, 1642, 5897, 8984, 5841, 454, 282, 1360, 24087, 18, 31224, 30, 2176, 1177, 445, 9770, 478, 47963, 1018, 17, 21, 470, 9556, 435, 25818, 9518, 22643, 18, 985, 4419, 44262, 16303, 1624, 13143, 4783, 266, 24439, 34411, 18, 365, 4810, 16, 475, 5841, 6951, 1011, 29236, 309, 7547, 314, 1725, 478, 9284, 332, 11021, 470, 1747, 6448, 4214, 282, 20844, 17390, 358, 5094, 712, 18, 7106, 16, 374, 334, 17147, 33146, 845, 17139, 18351, 478, 18635, 332, 10616, 470, 12306, 2612, 19047, 2467, 1974, 477, 2200, 11605, 16, 8996, 4309, 289, 26434, 23777, 282, 30306, 281, 7547, 314, 6871, 16, 785, 294, 697, 8436, 46538, 4786, 16521, 16558, 315, 4195, 1378, 1512, 18, 31139, 7994, 16, 282, 2114, 6820, 5841, 4961, 16, 15344, 37349, 6233, 289, 16, 1221, 9935, 5894, 282, 3106, 18012, 324, 16, 14119, 360, 13403, 2339, 457, 2423, 507, 282, 5533, 40497, 409, 2197, 411, 3322, 3946, 3494, 18, 1598, 24951, 34411, 1373, 5511, 1209, 26869, 300, 4682, 5888, 1034, 1000, 42869, 18, 365, 1069, 12925, 1169, 613, 2846, 9764, 18, 640, 1871, 3440, 329, 17720, 1035, 17246, 1013, 18, 5181, 16, 6258, 17, 12775, 272, 1528, 10849, 322, 453, 16, 428, 282, 6104, 11258, 28223, 17, 4529, 818, 16, 1029, 1559, 28631, 11441, 5855, 7811, 349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5854, 11552, 8231, 334, 385, 1295, 18175, 12498, 322, 1559, 18, 967, 803, 492, 41847, 5241, 1453, 1511, 14768, 37422, 282, 10666, 5024, 290, 970, 16, 374, 1684, 1465, 26727, 289, 282, 14601, 547, 40745, 8454, 10358, 18, 4338, 12101, 46026, 282, 8454, 35484, 16, 334, 3025, 19175, 16, 322, 4722, 18, 478, 563, 2759, 1963, 1747, 764, 3193, 282, 4301, 1335, 10438, 910, 510, 22618, 415, 554, 8863, 18, 365, 6233, 322, 5285, 5832, 16, 374, 16511, 10438, 895, 1852, 34488, 14132, 1101, 18, 365, 2456, 40745, 334, 32452, 582, 289, 10729, 1147, 27469, 478, 46088, 18, 8381, 470, 23051, 16, 374, 1684, 820, 428, 453, 4593, 322, 639, 16, 367, 41133, 478, 8844, 262, 4435, 1817, 6702, 861, 478, 8572, 736, 272, 8811, 7920, 322, 18470, 1166, 16, 510, 2323, 478, 46088, 18, 8381, 470, 5854, 7920, 18, 510, 403, 7579, 5726, 322, 30689, 16, 2700, 15389, 322, 1968, 1166, 16, 6814, 6233, 656, 935, 289, 322, 6418, 861, 48331, 3515, 521, 3306, 282, 11285, 16, 785, 505, 9216, 6820, 282, 45379, 18, 824, 3163, 7725, 2203, 16, 8624, 7920, 25065, 9969, 478, 280, 1864, 326, 1211, 13638, 289, 11981, 309, 2768, 4505, 16, 1281, 3597, 861, 3397, 10722, 6677, 7920, 41996, 8973, 450, 1042, 523, 1624, 2615, 9128, 41124, 18, 8287, 1465, 282, 40745, 16, 1029, 8671, 9780, 349, 16129, 294, 13109, 27224, 4002, 4681, 16, 322, 1966, 36943, 14327, 313, 4287, 1329, 10583, 18, 14957, 21708, 294, 6861, 2903, 3326, 10268, 6059, 12010, 4018, 384, 11276, 30, 4275, 412, 3847, 18604, 4364, 15865, 2870, 291, 282, 3580, 289, 1767, 726, 282, 12838, 510, 2388, 5024, 309, 13519, 11056, 25105, 1475, 5037, 8308, 22214, 620, 871, 3720, 727, 269, 2347, 18, 967, 803, 9541, 17, 42459, 4210, 403, 7558, 1740, 1624, 18191, 1815, 349, 23470, 14683, 16, 282, 7337, 33803, 1703, 5792, 15323, 2815, 16, 374, 1332, 294, 4099, 263, 322, 2259, 30, 478, 30145, 487, 5600, 8543, 10535, 16, 282, 970, 2875, 14627, 14764, 5036, 910, 510, 19755, 403, 7558, 1740, 282, 3998, 3597, 4018, 779, 18, 4756, 37972, 9597, 19521, 5502, 35439, 334, 1804, 2675, 46967, 360, 47189, 19322, 18101, 14297, 5579, 17, 14723, 411, 17, 431, 14576, 309, 5036, 12812, 17537, 18, 365, 4810, 16, 282, 12500, 4018, 779, 349, 8329, 8729, 4243, 1833, 1293, 14576, 282, 4402, 589, 315, 16, 282, 3198, 1660, 749, 13780, 6933, 2364, 10848, 2634, 1135, 18, 832, 1850, 1580, 14314, 282, 6031, 38343, 326, 18, 15970, 17, 18876, 539, 8554, 5675, 843, 292, 21100, 334, 8872, 10438, 16, 2454, 1734, 1974, 281, 8797, 9381, 1624, 49265, 6191, 309, 39271, 2634, 2791, 19782, 47189, 305, 355, 651, 36992, 2802, 3430, 539, 14591, 473, 9693, 672, 13, 478, 789, 412, 326, 1242, 17, 48457, 509, 5851, 5579, 17, 14723, 470, 473, 789, 28249, 17869, 31, 3164, 282, 40400, 7920, 334, 32452, 582, 814, 8444, 9321, 16, 374, 8649, 9402, 14576, 2438, 47173, 647, 5296, 5036, 18, 7537, 18966, 11969, 1743, 334, 7705, 3703, 28, 327, 18, 430, 11828, 2407, 478, 5786, 911, 3162, 904, 670, 34578, 5117, 16, 322, 18191, 1587, 13979, 3623, 861, 6729, 2837, 13742, 334, 1335, 7705, 510, 1272, 779, 17703, 8124, 18, 7743, 475, 764, 6347, 9480, 18, 365, 40400, 7920, 334, 32452, 582, 6535, 11552, 672, 478, 37165, 368, 25293, 5579, 17, 14723, 470, 1624, 11552, 672, 478, 789, 412, 326, 1242, 17, 48457, 509, 5851, 5579, 17, 14723, 910, 5579, 17, 9400, 1880, 11552, 672, 471, 1098, 9192, 577, 910, 5579, 17, 9400, 1880, 11552, 672, 478, 672, 14173, 778, 3609, 326, 1242, 17, 48457, 509, 5851, 910, 5579, 17, 9400, 1880, 36992, 22718, 478, 1140, 35215, 23946, 334, 25005, 289, 3131, 9885, 28442, 7868, 6446, 9056, 17, 48457, 346, 10139, 861, 7106, 16, 282, 13324, 726, 6347, 9480, 3275, 2844, 11969, 1743, 16, 42304, 281, 5410, 476, 2661, 18, 7743, 18966, 334, 13229, 3320, 3280, 434, 15948, 281, 5173, 5153, 2005, 27526, 4076, 371, 14885, 15003, 21812, 37086, 5520, 473, 6308, 822, 814, 38062, 5120, 616, 2389, 3929, 24671, 27713, 2241, 478, 1182, 46712, 910, 48253, 1027, 5410, 26726, 309, 7955, 23324, 822, 282, 5049, 1045, 18, 7743, 8643, 10118, 994, 3774, 8554, 473, 1009, 15683, 13, 8231, 334, 5579, 17, 5147, 877, 289, 23856, 1767, 18, 967, 14885, 15003, 21812, 37086, 5520, 3005, 953, 48098, 1007, 2364, 2511, 5096, 2791, 18, 3138, 1005, 5862, 994, 8643, 282, 7522, 30, 334, 3761, 11861, 16, 282, 2463, 1698, 953, 24076, 318, 19516, 15678, 25812, 16, 2470, 2508, 10451, 548, 281, 4286, 30946, 25522, 18, 4802, 10292, 16, 25170, 1743, 16, 11680, 16, 374, 773, 322, 23871, 28780, 519, 47889, 11340, 4669, 35534, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 10882, 41532, 4722, 11918, 478, 47963, 1018, 17, 21, 470, 510, 16130, 17, 960, 22643, 18, 640, 5606, 1949, 24998, 349, 3629, 292, 18952, 5539, 46850, 41124, 282, 478, 1098, 370, 948, 17, 730, 1569, 470, 14853, 266, 4657, 5987, 286, 528, 2546, 363, 18, 39952, 16, 374, 12758, 9192, 5002, 2611, 310, 435, 6166, 1140, 696, 2078, 267, 9979, 24905, 1642, 5897, 8984, 5841, 454, 282, 1360, 24087, 18, 31224, 30, 2176, 1177, 445, 9770, 478, 47963, 1018, 17, 21, 470, 9556, 435, 25818, 9518, 22643, 18, 985, 4419, 44262, 16303, 1624, 13143, 4783, 266, 24439, 34411, 18, 365, 4810, 16, 475, 5841, 6951, 1011, 29236, 309, 7547, 314, 1725, 478, 9284, 332, 11021, 470, 1747, 6448, 4214, 282, 20844, 17390, 358, 5094, 712, 18, 7106, 16, 374, 334, 17147, 33146, 845, 17139, 18351, 478, 18635, 332, 10616, 470, 12306, 2612, 19047, 2467, 1974, 477, 2200, 11605, 16, 8996, 4309, 289, 26434, 23777, 282, 30306, 281, 7547, 314, 6871, 16, 785, 294, 697, 8436, 46538, 4786, 16521, 16558, 315, 4195, 1378, 1512, 18, 31139, 7994, 16, 282, 2114, 6820, 5841, 4961, 16, 15344, 37349, 6233, 289, 16, 1221, 9935, 5894, 282, 3106, 18012, 324, 16, 14119, 360, 13403, 2339, 457, 2423, 507, 282, 5533, 40497, 409, 2197, 411, 3322, 3946, 3494, 18, 1598, 24951, 34411, 1373, 5511, 1209, 26869, 300, 4682, 5888, 1034, 1000, 42869, 18, 365, 1069, 12925, 1169, 613, 2846, 9764, 18, 640, 1871, 3440, 329, 17720, 1035, 17246, 1013, 18, 5181, 16, 6258, 17, 12775, 272, 1528, 10849, 322, 453, 16, 428, 282, 6104, 11258, 28223, 17, 4529, 818, 16, 1029, 1559, 28631, 11441, 5855, 7811, 349 ]
[ 14007, 662, 18, 8353, 276, 309, 475, 3586, 726, 2944, 37462, 16, 289, 1441, 4966, 20388, 14620, 6958, 1901, 9722, 18, 365, 4698, 3678, 2581, 406, 16, 374, 282, 2845, 16648, 23143, 24998, 349, 2064, 291, 7179, 26282, 478, 1098, 370, 948, 17, 730, 1569, 470, 46850, 41124, 14853, 266, 7504, 5841, 4961, 4966, 4657, 5987, 286, 528, 2546, 363, 18, 478, 4348, 22457, 2089, 2678, 2944, 16, 726, 1272, 5196, 2158, 703, 45505, 289, 26645, 16, 428, 417, 294, 2856, 42624, 16, 651, 10703, 403, 4654, 6235, 6080, 478, 13261, 861, 651, 8589, 639, 475, 481, 1493, 1398, 20533, 18, 889, 5773, 1568, 315, 477, 1963, 4966, 16, 16136, 1756, 541, 1728, 11202, 26282, 16, 3333, 4966, 16605, 2733, 12233, 18, 629, 2826, 322, 5829, 282, 803, 7045, 3860, 16, 515, 16, 281, 2107, 1963, 16, 2447, 2023, 16, 374, 15728, 5841, 343, 2756, 541, 703, 939, 21729, 478, 288, 418, 315, 14603, 470, 6152, 23908, 4966, 289, 46850, 18, 640, 2218, 2193, 16, 1314, 1293, 41025, 701, 6295, 861, 25618, 7900, 28504, 25688, 5097, 411, 478, 18635, 332, 10616, 470, 7968, 530, 3860, 13793, 9766, 18, 817, 14403, 16, 374, 281, 47574, 20924, 282, 17392, 306, 16, 3387, 282, 803, 11258, 5270, 445, 48722, 281, 22567, 5841, 15224, 17720, 1035, 41297, 323, 16, 1029, 726, 2944, 322, 43454, 1211, 7211, 613, 18, 37540, 478, 45652, 287, 312, 470, 34733, 660, 439, 2221, 3008, 726, 30234, 10500, 290, 11671, 11258, 16, 428, 16, 9705, 16, 289, 7193, 282, 5329, 16, 1586, 2944, 322, 40303, 3230, 14515, 35672, 282, 36976, 2124, 2676, 2632, 18, 365, 6940, 445, 282, 594, 404, 478, 328, 14347, 950, 470, 4266, 290, 33044, 8436, 18, 740, 428, 10201, 15713, 7426, 986, 16, 282, 1789, 616, 310, 435, 1694, 4735, 1886, 281, 8344, 18, 43648, 541, 23148, 16130, 17, 960, 12758, 9192, 5002, 2611, 310, 435, 38946, 3655, 16113, 16, 1029, 38315, 1235, 282, 5244, 30396, 22643, 16, 428, 329, 23818, 19753, 33662, 7070, 269, 5097, 13407, 318, 18, 7651, 6971, 695, 16, 374, 541, 2287, 17, 812, 9305, 36579, 16130, 17, 960, 478, 47963, 1018, 17, 21, 470, 1542, 5841, 343, 16, 7260, 16, 4040, 9268, 282, 24087, 18, 17935, 7036, 411, 2422, 478, 3975, 3979, 933, 922, 3134, 3305, 910, 367, 1038, 5510, 34411, 282, 12013, 2422, 289, 3541, 282, 36976, 4480, 2632, 942, 4897, 309, 7759, 478, 47963, 1018, 17, 21, 861, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 11441, 7376, 13341, 3946, 49391, 7846, 4698, 7638, 272, 8900, 510, 15057, 32190, 21477, 478, 35695, 17, 17088, 470, 334, 46318, 327, 925, 295, 613, 3183, 7900, 2777, 10595, 1037, 276, 282, 7475, 11138, 27470, 9282, 318, 1845, 1067, 6589, 16, 2236, 411, 10235, 282, 4008, 7987, 334, 1073, 2818, 4046, 344, 18, 31224, 30, 29392, 778, 21477, 282, 27177, 36798, 34171, 441, 547, 15992, 16, 18447, 1510, 309, 3084, 13297, 16, 510, 15042, 14617, 8351, 36978, 18, 365, 3507, 697, 1965, 2500, 16, 367, 2496, 7638, 7426, 986, 5544, 510, 24314, 18, 967, 12217, 478, 597, 20586, 2110, 470, 5073, 505, 1462, 3250, 1662, 47968, 30, 282, 803, 40968, 942, 10229, 4853, 374, 478, 15821, 343, 289, 1294, 320, 770, 11850, 36943, 470, 9374, 305, 548, 629, 609, 680, 282, 421, 789, 4298, 1295, 263, 581, 478, 684, 3035, 343, 17, 22766, 16384, 343, 470, 18061, 17269, 6318, 282, 421, 1916, 789, 18, 16003, 16, 374, 541, 3569, 347, 13562, 507, 2776, 807, 272, 1465, 507, 16, 2903, 344, 343, 10137, 49391, 16, 1177, 21477, 510, 16089, 3321, 282, 31921, 8292, 8487, 1923, 289, 11976, 722, 4090, 8131, 343, 18, 11040, 778, 21477, 281, 478, 13192, 4118, 5948, 910, 23467, 360, 2866, 871, 27522, 541, 5781, 47083, 8037, 424, 7848, 478, 266, 3093, 1647, 324, 910, 510, 8010, 1494, 939, 25899, 16, 2588, 2950, 1085, 42507, 43292, 18, 740, 13341, 49391, 6089, 27470, 16, 46556, 2048, 481, 18, 6831, 2418, 9786, 1476, 16, 40056, 349, 3103, 986, 2227, 2344, 1845, 1067, 6589, 16, 5725, 3409, 19243, 20828, 521, 41116, 1624, 510, 537, 2236, 30601, 18, 1253, 45478, 334, 3025, 1175, 16, 360, 40830, 34755, 519, 17739, 608, 987, 361, 274, 16, 8856, 7206, 34632, 33964, 9815, 15364, 290, 27354, 15992, 16, 4538, 281, 9154, 3147, 12993, 289, 13025, 4289, 5230, 13386, 13388, 448, 11461, 18, 6831, 3989, 1561, 2466, 722, 904, 16, 2301, 411, 1639, 898, 46589, 282, 3507, 16, 510, 4803, 2947, 778, 478, 4408, 490, 282, 608, 14551, 17, 332, 17, 983, 1866, 910, 21477, 17, 292, 19746, 293, 4205, 297, 16, 8183, 2024, 11730, 334, 4547, 4046, 344, 16, 289, 1739, 10613, 778, 478, 1659, 1285, 289, 528, 508, 910, 988, 1421, 30077, 34143, 1867, 34784, 15528, 28487, 282, 16248, 7288, 3158, 8472, 16, 13025, 19282, 8668, 8205, 36533, 18, 365, 478, 780, 525, 523, 582, 470, 1845, 1067, 3340, 18932, 34823, 327, 925, 295, 718, 15252, 3183, 7900, 2777, 10595, 1037, 276, 478, 35695, 17, 17088, 861, 889, 3147, 14827, 15057, 6529, 16, 515, 9891, 267, 23198, 347, 282, 1169, 349, 7701, 414, 1211, 510, 6548, 11175, 16, 4148, 1742, 4620, 38539, 8016, 16, 2172, 1788, 3243, 2147, 9314, 282, 14852, 547, 2845, 404, 6440, 582, 17089, 1484, 479, 36279, 282, 15782, 45064, 473, 2675, 22732, 394, 16, 745, 1450, 12107, 934, 971, 33345, 387, 440, 12050, 722, 31214, 16, 367, 387, 1528, 589, 12452, 7762, 8109, 17, 293, 2274, 2572, 439, 915, 552, 324, 347, 5273, 965, 437, 7379, 289, 47423, 1636, 25349, 12447, 23322, 18, 26907, 454, 294, 9786, 623, 6463, 11350, 17, 326, 868, 3463, 478, 43039, 1637, 470, 6729, 11005, 2169, 18, 5043, 16, 47196, 273, 1683, 478, 780, 34972, 17, 17088, 470, 942, 7818, 1472, 281, 11269, 27192, 510, 3848, 481, 1139, 11441, 9862, 47374, 16, 282, 2588, 808, 360, 1612, 3473, 7724, 802, 8735, 18, 385, 2099, 4397, 14647, 718, 10137, 478, 33237, 14018, 470, 6729, 5455, 39316, 13504, 1897, 539, 8149, 16, 5891, 9626, 282, 18577, 49059, 289, 6859, 9626, 4148, 4697, 417, 17983, 31144, 6575, 289, 13127, 18, 365, 1129, 16, 309, 1129, 289, 2917, 1129, 48505, 294, 3244, 3322, 4095, 41304, 30, 360, 8453, 1347, 519, 1686, 361, 390, 274, 18, 17102, 15328, 8866, 3621, 282, 3998, 30, 6440, 343, 17089, 1484, 35479, 1188, 3098, 7213, 48862, 16, 309, 2114, 2139, 335, 4716, 282, 48146, 24781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14007, 662, 18, 8353, 276, 309, 475, 3586, 726, 2944, 37462, 16, 289, 1441, 4966, 20388, 14620, 6958, 1901, 9722, 18, 365, 4698, 3678, 2581, 406, 16, 374, 282, 2845, 16648, 23143, 24998, 349, 2064, 291, 7179, 26282, 478, 1098, 370, 948, 17, 730, 1569, 470, 46850, 41124, 14853, 266, 7504, 5841, 4961, 4966, 4657, 5987, 286, 528, 2546, 363, 18, 478, 4348, 22457, 2089, 2678, 2944, 16, 726, 1272, 5196, 2158, 703, 45505, 289, 26645, 16, 428, 417, 294, 2856, 42624, 16, 651, 10703, 403, 4654, 6235, 6080, 478, 13261, 861, 651, 8589, 639, 475, 481, 1493, 1398, 20533, 18, 889, 5773, 1568, 315, 477, 1963, 4966, 16, 16136, 1756, 541, 1728, 11202, 26282, 16, 3333, 4966, 16605, 2733, 12233, 18, 629, 2826, 322, 5829, 282, 803, 7045, 3860, 16, 515, 16, 281, 2107, 1963, 16, 2447, 2023, 16, 374, 15728, 5841, 343, 2756, 541, 703, 939, 21729, 478, 288, 418, 315, 14603, 470, 6152, 23908, 4966, 289, 46850, 18, 640, 2218, 2193, 16, 1314, 1293, 41025, 701, 6295, 861, 25618, 7900, 28504, 25688, 5097, 411, 478, 18635, 332, 10616, 470, 7968, 530, 3860, 13793, 9766, 18, 817, 14403, 16, 374, 281, 47574, 20924, 282, 17392, 306, 16, 3387, 282, 803, 11258, 5270, 445, 48722, 281, 22567, 5841, 15224, 17720, 1035, 41297, 323, 16, 1029, 726, 2944, 322, 43454, 1211, 7211, 613, 18, 37540, 478, 45652, 287, 312, 470, 34733, 660, 439, 2221, 3008, 726, 30234, 10500, 290, 11671, 11258, 16, 428, 16, 9705, 16, 289, 7193, 282, 5329, 16, 1586, 2944, 322, 40303, 3230, 14515, 35672, 282, 36976, 2124, 2676, 2632, 18, 365, 6940, 445, 282, 594, 404, 478, 328, 14347, 950, 470, 4266, 290, 33044, 8436, 18, 740, 428, 10201, 15713, 7426, 986, 16, 282, 1789, 616, 310, 435, 1694, 4735, 1886, 281, 8344, 18, 43648, 541, 23148, 16130, 17, 960, 12758, 9192, 5002, 2611, 310, 435, 38946, 3655, 16113, 16, 1029, 38315, 1235, 282, 5244, 30396, 22643, 16, 428, 329, 23818, 19753, 33662, 7070, 269, 5097, 13407, 318, 18, 7651, 6971, 695, 16, 374, 541, 2287, 17, 812, 9305, 36579, 16130, 17, 960, 478, 47963, 1018, 17, 21, 470, 1542, 5841, 343, 16, 7260, 16, 4040, 9268, 282, 24087, 18, 17935, 7036, 411, 2422, 478, 3975, 3979, 933, 922, 3134, 3305, 910, 367, 1038, 5510, 34411, 282, 12013, 2422, 289, 3541, 282, 36976, 4480, 2632, 942, 4897, 309, 7759, 478, 47963, 1018, 17, 21, 861, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 11441, 7376, 13341, 3946, 49391, 7846, 4698, 7638, 272, 8900, 510, 15057, 32190, 21477, 478, 35695, 17, 17088, 470, 334, 46318, 327, 925, 295, 613, 3183, 7900, 2777, 10595, 1037, 276, 282, 7475, 11138, 27470, 9282, 318, 1845, 1067, 6589, 16, 2236, 411, 10235, 282, 4008, 7987, 334, 1073, 2818, 4046, 344, 18, 31224, 30, 29392, 778, 21477, 282, 27177, 36798, 34171, 441, 547, 15992, 16, 18447, 1510, 309, 3084, 13297, 16, 510, 15042, 14617, 8351, 36978, 18, 365, 3507, 697, 1965, 2500, 16, 367, 2496, 7638, 7426, 986, 5544, 510, 24314, 18, 967, 12217, 478, 597, 20586, 2110, 470, 5073, 505, 1462, 3250, 1662, 47968, 30, 282, 803, 40968, 942, 10229, 4853, 374, 478, 15821, 343, 289, 1294, 320, 770, 11850, 36943, 470, 9374, 305, 548, 629, 609, 680, 282, 421, 789, 4298, 1295, 263, 581, 478, 684, 3035, 343, 17, 22766, 16384, 343, 470, 18061, 17269, 6318, 282, 421, 1916, 789, 18, 16003, 16, 374, 541, 3569, 347, 13562, 507, 2776, 807, 272, 1465, 507, 16, 2903, 344, 343, 10137, 49391, 16, 1177, 21477, 510, 16089, 3321, 282, 31921, 8292, 8487, 1923, 289, 11976, 722, 4090, 8131, 343, 18, 11040, 778, 21477, 281, 478, 13192, 4118, 5948, 910, 23467, 360, 2866, 871, 27522, 541, 5781, 47083, 8037, 424, 7848, 478, 266, 3093, 1647, 324, 910, 510, 8010, 1494, 939, 25899, 16, 2588, 2950, 1085, 42507, 43292, 18, 740, 13341, 49391, 6089, 27470, 16, 46556, 2048, 481, 18, 6831, 2418, 9786, 1476, 16, 40056, 349, 3103, 986, 2227, 2344, 1845, 1067, 6589, 16, 5725, 3409, 19243, 20828, 521, 41116, 1624, 510, 537, 2236, 30601, 18, 1253, 45478, 334, 3025, 1175, 16, 360, 40830, 34755, 519, 17739, 608, 987, 361, 274, 16, 8856, 7206, 34632, 33964, 9815, 15364, 290, 27354, 15992, 16, 4538, 281, 9154, 3147, 12993, 289, 13025, 4289, 5230, 13386, 13388, 448, 11461, 18, 6831, 3989, 1561, 2466, 722, 904, 16, 2301, 411, 1639, 898, 46589, 282, 3507, 16, 510, 4803, 2947, 778, 478, 4408, 490, 282, 608, 14551, 17, 332, 17, 983, 1866, 910, 21477, 17, 292, 19746, 293, 4205, 297, 16, 8183, 2024, 11730, 334, 4547, 4046, 344, 16, 289, 1739, 10613, 778, 478, 1659, 1285, 289, 528, 508, 910, 988, 1421, 30077, 34143, 1867, 34784, 15528, 28487, 282, 16248, 7288, 3158, 8472, 16, 13025, 19282, 8668, 8205, 36533, 18, 365, 478, 780, 525, 523, 582, 470, 1845, 1067, 3340, 18932, 34823, 327, 925, 295, 718, 15252, 3183, 7900, 2777, 10595, 1037, 276, 478, 35695, 17, 17088, 861, 889, 3147, 14827, 15057, 6529, 16, 515, 9891, 267, 23198, 347, 282, 1169, 349, 7701, 414, 1211, 510, 6548, 11175, 16, 4148, 1742, 4620, 38539, 8016, 16, 2172, 1788, 3243, 2147, 9314, 282, 14852, 547, 2845, 404, 6440, 582, 17089, 1484, 479, 36279, 282, 15782, 45064, 473, 2675, 22732, 394, 16, 745, 1450, 12107, 934, 971, 33345, 387, 440, 12050, 722, 31214, 16, 367, 387, 1528, 589, 12452, 7762, 8109, 17, 293, 2274, 2572, 439, 915, 552, 324, 347, 5273, 965, 437, 7379, 289, 47423, 1636, 25349, 12447, 23322, 18, 26907, 454, 294, 9786, 623, 6463, 11350, 17, 326, 868, 3463, 478, 43039, 1637, 470, 6729, 11005, 2169, 18, 5043, 16, 47196, 273, 1683, 478, 780, 34972, 17, 17088, 470, 942, 7818, 1472, 281, 11269, 27192, 510, 3848, 481, 1139, 11441, 9862, 47374, 16, 282, 2588, 808, 360, 1612, 3473, 7724, 802, 8735, 18, 385, 2099, 4397, 14647, 718, 10137, 478, 33237, 14018, 470, 6729, 5455, 39316, 13504, 1897, 539, 8149, 16, 5891, 9626, 282, 18577, 49059, 289, 6859, 9626, 4148, 4697, 417, 17983, 31144, 6575, 289, 13127, 18, 365, 1129, 16, 309, 1129, 289, 2917, 1129, 48505, 294, 3244, 3322, 4095, 41304, 30, 360, 8453, 1347, 519, 1686, 361, 390, 274, 18, 17102, 15328, 8866, 3621, 282, 3998, 30, 6440, 343, 17089, 1484, 35479, 1188, 3098, 7213, 48862, 16, 309, 2114, 2139, 335, 4716, 282, 48146, 24781 ]
[ 2906, 30274, 1364, 636, 2300, 16, 289, 16, 27685, 15195, 16, 9414, 18414, 1938, 34751, 11359, 2100, 6087, 508, 553, 18, 3575, 4993, 2471, 349, 1102, 3588, 1211, 27522, 18374, 2840, 16, 289, 12470, 549, 19804, 428, 373, 33479, 484, 282, 14852, 547, 2845, 404, 18, 365, 1177, 2083, 21412, 2505, 3253, 19471, 309, 5626, 16, 289, 21477, 21067, 282, 28691, 13388, 434, 26914, 429, 510, 294, 6095, 16, 5287, 1329, 10049, 726, 322, 6075, 1463, 18, 365, 5329, 478, 35695, 17, 17088, 470, 3147, 14827, 15057, 21477, 16, 515, 48393, 47266, 315, 16, 24410, 289, 477, 29062, 18, 5585, 16677, 322, 590, 10892, 467, 289, 322, 7965, 7271, 14704, 16, 5244, 3101, 382, 16, 515, 322, 367, 379, 22403, 548, 16, 14705, 622, 322, 590, 287, 12227, 282, 1934, 433, 20152, 18, 6096, 25451, 2931, 282, 10095, 5703, 281, 35543, 48985, 979, 27944, 9137, 32692, 14858, 6760, 454, 289, 3871, 4276, 14642, 10777, 17, 1961, 1079, 13402, 6485, 16, 281, 23958, 5613, 16, 282, 1639, 9904, 2720, 847, 374, 17, 299, 47972, 1602, 17, 43252, 1880, 18, 17100, 5368, 2207, 9594, 28455, 4362, 11931, 8109, 26043, 33959, 1520, 1162, 510, 678, 9988, 17509, 17, 3181, 454, 16, 785, 1543, 687, 387, 1528, 47390, 411, 29127, 2198, 4620, 304, 15518, 18, 365, 7545, 547, 19535, 8259, 678, 7108, 5463, 1893, 411, 2845, 307, 10124, 7222, 2009, 37244, 521, 289, 41798, 381, 19945, 290, 7791, 41980, 24455, 16, 15353, 1077, 274, 478, 780, 395, 17, 353, 910, 289, 360, 978, 13915, 735, 16, 3073, 16, 27286, 1738, 373, 935, 3560, 35415, 411, 1209, 6975, 16, 1926, 4687, 282, 6900, 18, 889, 1500, 42703, 3022, 16, 785, 2019, 4282, 309, 16996, 322, 39268, 6966, 2206, 510, 8195, 354, 289, 5671, 10723, 11667, 4116, 43348, 16, 374, 722, 2955, 33061, 4345, 428, 11429, 539, 12644, 18, 18233, 289, 502, 16, 374, 309, 8011, 28455, 678, 322, 8471, 4200, 320, 314, 416, 16, 289, 722, 1274, 3589, 11945, 322, 7345, 341, 309, 1003, 475, 8885, 32738, 16, 428, 2669, 19832, 371, 28194, 2533, 18, 20390, 343, 282, 2100, 478, 675, 1406, 11667, 309, 13297, 470, 510, 20928, 18757, 541, 6714, 28455, 16, 289, 505, 478, 35695, 17, 17088, 470, 7312, 18, 2839, 29777, 8252, 8183, 6369, 1196, 1285, 267, 17639, 18, 7200, 11618, 510, 290, 970, 16, 428, 4620, 387, 440, 747, 289, 387, 3975, 25688, 6440, 454, 473, 275, 5703, 41110, 510, 17106, 3171, 30107, 448, 2560, 4921, 16, 20442, 1733, 31466, 934, 8753, 4973, 13357, 16, 988, 1279, 726, 424, 648, 1081, 1073, 1007, 669, 37675, 1595, 16457, 42475, 18, 459, 428, 687, 8486, 5517, 290, 8384, 5775, 477, 42909, 16, 411, 32738, 9707, 31042, 475, 478, 15011, 1999, 1133, 470, 24204, 1923, 18, 1870, 345, 1262, 282, 19787, 3302, 46456, 6623, 315, 590, 39845, 3236, 16, 12487, 5985, 289, 428, 373, 1514, 2200, 7595, 16835, 30, 1030, 16, 478, 918, 1314, 4073, 3378, 2309, 861, 46482, 575, 8300, 40301, 472, 1383, 1155, 345, 289, 4521, 8471, 3215, 16813, 1310, 536, 289, 4179, 14133, 5966, 18, 1012, 19864, 1812, 21477, 687, 294, 5251, 1918, 18, 832, 661, 3308, 16, 428, 13099, 1380, 16, 439, 915, 552, 324, 347, 9595, 349, 32571, 294, 30367, 21015, 10759, 510, 3078, 388, 1147, 4620, 272, 39106, 490, 272, 18, 4246, 435, 11692, 20789, 531, 30260, 309, 1862, 553, 11511, 16, 18626, 2523, 4620, 4748, 15563, 305, 5036, 761, 16, 289, 2471, 322, 2286, 12131, 10672, 16, 428, 439, 915, 552, 324, 347, 733, 277, 1893, 282, 3545, 18, 5043, 16, 9901, 360, 978, 10779, 2160, 13631, 2156, 35417, 847, 13388, 416, 1897, 1330, 510, 11269, 13214, 11961, 311, 15437, 16, 4985, 3793, 12468, 1508, 282, 387, 10759, 16, 19286, 939, 17231, 18, 5454, 16, 453, 11742, 6874, 510, 515, 475, 17, 2767, 3215, 17027, 13069, 329, 965, 349, 6381, 4077, 16, 282, 2114, 5557, 2548, 15358, 30, 478, 563, 31856, 16, 678, 26610, 24450, 367, 1500, 13842, 6485, 9780, 30, 478, 4529, 1003, 16, 374, 694, 16, 5557, 16, 1215, 575, 1122, 17682, 418, 1645, 4271, 4246, 508, 1243, 526, 478, 35695, 17, 17088, 910, 3073, 16, 322, 6795, 24468, 309, 7549, 468, 282, 1767, 16023, 10137, 473, 13817, 978, 360, 1047, 3147, 942, 639, 13446, 814, 889, 1139, 9169, 48393, 16, 7101, 883, 16, 282, 465, 6945, 15057, 21477, 16, 309, 2114, 9563, 322, 21048, 16, 32677, 322, 15955, 16, 367, 13388, 536, 49991, 1876, 322, 5425, 17279, 506, 5338, 4713, 18, 439, 481, 726, 939, 8585, 18, 2, 1, 87, 1456, 81, 2448, 30, 1916, 446, 32072, 16, 14342, 289, 44329, 8934, 32898, 33659, 33056, 1241, 2143, 1452, 282, 1634, 9376, 2165, 7756, 478, 56, 1509, 21485, 41234, 470, 309, 18860, 282, 40867, 478, 20377, 748, 399, 470, 10662, 5901, 28994, 933, 634, 791, 3190, 11640, 32290, 507, 289, 47769, 350, 434, 294, 341, 413, 18, 31224, 30, 16745, 16, 374, 12544, 343, 281, 19578, 305, 323, 282, 8657, 528, 3583, 344, 22868, 416, 895, 953, 4608, 465, 354, 453, 575, 16, 428, 5168, 9626, 282, 40867, 17902, 539, 32780, 16, 322, 14535, 18, 365, 3998, 8497, 17, 292, 13205, 14342, 33056, 1241, 2143, 1452, 411, 32486, 27551, 9950, 8666, 17, 273, 2611, 18055, 16308, 416, 5319, 3404, 3232, 6926, 389, 451, 16296, 2234, 12294, 30, 505, 13197, 281, 29320, 2389, 45668, 2314, 27110, 514, 5586, 951, 18, 45, 18, 43, 282, 8550, 404, 289, 34712, 17, 8871, 3924, 2756, 6906, 13423, 2009, 7541, 510, 722, 942, 639, 4641, 428, 309, 16177, 7315, 48194, 16, 453, 289, 3964, 349, 505, 13952, 18, 4338, 492, 15156, 46050, 1311, 7392, 9756, 541, 41760, 16, 961, 16, 2686, 16, 1320, 4247, 9700, 7406, 36146, 282, 2481, 266, 541, 9233, 670, 16, 11271, 16, 19111, 309, 3196, 7310, 5939, 18319, 332, 541, 17155, 15921, 18, 9788, 12904, 10056, 1908, 324, 510, 49905, 32081, 2433, 3182, 7975, 11686, 411, 48194, 16, 2966, 20202, 1423, 2689, 2127, 38012, 18, 1937, 975, 639, 2852, 16, 6956, 17447, 701, 411, 44006, 282, 6835, 17, 15900, 289, 664, 17809, 309, 403, 2603, 17, 19253, 637, 476, 18, 11339, 828, 6125, 29004, 32898, 33659, 289, 1852, 4085, 344, 16308, 416, 24743, 16, 1241, 2143, 1452, 5931, 4773, 15224, 33304, 873, 16, 5397, 1475, 4953, 297, 7923, 16, 1987, 1067, 300, 45492, 289, 281, 33069, 2734, 639, 322, 18236, 282, 45876, 2035, 8185 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2906, 30274, 1364, 636, 2300, 16, 289, 16, 27685, 15195, 16, 9414, 18414, 1938, 34751, 11359, 2100, 6087, 508, 553, 18, 3575, 4993, 2471, 349, 1102, 3588, 1211, 27522, 18374, 2840, 16, 289, 12470, 549, 19804, 428, 373, 33479, 484, 282, 14852, 547, 2845, 404, 18, 365, 1177, 2083, 21412, 2505, 3253, 19471, 309, 5626, 16, 289, 21477, 21067, 282, 28691, 13388, 434, 26914, 429, 510, 294, 6095, 16, 5287, 1329, 10049, 726, 322, 6075, 1463, 18, 365, 5329, 478, 35695, 17, 17088, 470, 3147, 14827, 15057, 21477, 16, 515, 48393, 47266, 315, 16, 24410, 289, 477, 29062, 18, 5585, 16677, 322, 590, 10892, 467, 289, 322, 7965, 7271, 14704, 16, 5244, 3101, 382, 16, 515, 322, 367, 379, 22403, 548, 16, 14705, 622, 322, 590, 287, 12227, 282, 1934, 433, 20152, 18, 6096, 25451, 2931, 282, 10095, 5703, 281, 35543, 48985, 979, 27944, 9137, 32692, 14858, 6760, 454, 289, 3871, 4276, 14642, 10777, 17, 1961, 1079, 13402, 6485, 16, 281, 23958, 5613, 16, 282, 1639, 9904, 2720, 847, 374, 17, 299, 47972, 1602, 17, 43252, 1880, 18, 17100, 5368, 2207, 9594, 28455, 4362, 11931, 8109, 26043, 33959, 1520, 1162, 510, 678, 9988, 17509, 17, 3181, 454, 16, 785, 1543, 687, 387, 1528, 47390, 411, 29127, 2198, 4620, 304, 15518, 18, 365, 7545, 547, 19535, 8259, 678, 7108, 5463, 1893, 411, 2845, 307, 10124, 7222, 2009, 37244, 521, 289, 41798, 381, 19945, 290, 7791, 41980, 24455, 16, 15353, 1077, 274, 478, 780, 395, 17, 353, 910, 289, 360, 978, 13915, 735, 16, 3073, 16, 27286, 1738, 373, 935, 3560, 35415, 411, 1209, 6975, 16, 1926, 4687, 282, 6900, 18, 889, 1500, 42703, 3022, 16, 785, 2019, 4282, 309, 16996, 322, 39268, 6966, 2206, 510, 8195, 354, 289, 5671, 10723, 11667, 4116, 43348, 16, 374, 722, 2955, 33061, 4345, 428, 11429, 539, 12644, 18, 18233, 289, 502, 16, 374, 309, 8011, 28455, 678, 322, 8471, 4200, 320, 314, 416, 16, 289, 722, 1274, 3589, 11945, 322, 7345, 341, 309, 1003, 475, 8885, 32738, 16, 428, 2669, 19832, 371, 28194, 2533, 18, 20390, 343, 282, 2100, 478, 675, 1406, 11667, 309, 13297, 470, 510, 20928, 18757, 541, 6714, 28455, 16, 289, 505, 478, 35695, 17, 17088, 470, 7312, 18, 2839, 29777, 8252, 8183, 6369, 1196, 1285, 267, 17639, 18, 7200, 11618, 510, 290, 970, 16, 428, 4620, 387, 440, 747, 289, 387, 3975, 25688, 6440, 454, 473, 275, 5703, 41110, 510, 17106, 3171, 30107, 448, 2560, 4921, 16, 20442, 1733, 31466, 934, 8753, 4973, 13357, 16, 988, 1279, 726, 424, 648, 1081, 1073, 1007, 669, 37675, 1595, 16457, 42475, 18, 459, 428, 687, 8486, 5517, 290, 8384, 5775, 477, 42909, 16, 411, 32738, 9707, 31042, 475, 478, 15011, 1999, 1133, 470, 24204, 1923, 18, 1870, 345, 1262, 282, 19787, 3302, 46456, 6623, 315, 590, 39845, 3236, 16, 12487, 5985, 289, 428, 373, 1514, 2200, 7595, 16835, 30, 1030, 16, 478, 918, 1314, 4073, 3378, 2309, 861, 46482, 575, 8300, 40301, 472, 1383, 1155, 345, 289, 4521, 8471, 3215, 16813, 1310, 536, 289, 4179, 14133, 5966, 18, 1012, 19864, 1812, 21477, 687, 294, 5251, 1918, 18, 832, 661, 3308, 16, 428, 13099, 1380, 16, 439, 915, 552, 324, 347, 9595, 349, 32571, 294, 30367, 21015, 10759, 510, 3078, 388, 1147, 4620, 272, 39106, 490, 272, 18, 4246, 435, 11692, 20789, 531, 30260, 309, 1862, 553, 11511, 16, 18626, 2523, 4620, 4748, 15563, 305, 5036, 761, 16, 289, 2471, 322, 2286, 12131, 10672, 16, 428, 439, 915, 552, 324, 347, 733, 277, 1893, 282, 3545, 18, 5043, 16, 9901, 360, 978, 10779, 2160, 13631, 2156, 35417, 847, 13388, 416, 1897, 1330, 510, 11269, 13214, 11961, 311, 15437, 16, 4985, 3793, 12468, 1508, 282, 387, 10759, 16, 19286, 939, 17231, 18, 5454, 16, 453, 11742, 6874, 510, 515, 475, 17, 2767, 3215, 17027, 13069, 329, 965, 349, 6381, 4077, 16, 282, 2114, 5557, 2548, 15358, 30, 478, 563, 31856, 16, 678, 26610, 24450, 367, 1500, 13842, 6485, 9780, 30, 478, 4529, 1003, 16, 374, 694, 16, 5557, 16, 1215, 575, 1122, 17682, 418, 1645, 4271, 4246, 508, 1243, 526, 478, 35695, 17, 17088, 910, 3073, 16, 322, 6795, 24468, 309, 7549, 468, 282, 1767, 16023, 10137, 473, 13817, 978, 360, 1047, 3147, 942, 639, 13446, 814, 889, 1139, 9169, 48393, 16, 7101, 883, 16, 282, 465, 6945, 15057, 21477, 16, 309, 2114, 9563, 322, 21048, 16, 32677, 322, 15955, 16, 367, 13388, 536, 49991, 1876, 322, 5425, 17279, 506, 5338, 4713, 18, 439, 481, 726, 939, 8585, 18, 2, 1, 87, 1456, 81, 2448, 30, 1916, 446, 32072, 16, 14342, 289, 44329, 8934, 32898, 33659, 33056, 1241, 2143, 1452, 282, 1634, 9376, 2165, 7756, 478, 56, 1509, 21485, 41234, 470, 309, 18860, 282, 40867, 478, 20377, 748, 399, 470, 10662, 5901, 28994, 933, 634, 791, 3190, 11640, 32290, 507, 289, 47769, 350, 434, 294, 341, 413, 18, 31224, 30, 16745, 16, 374, 12544, 343, 281, 19578, 305, 323, 282, 8657, 528, 3583, 344, 22868, 416, 895, 953, 4608, 465, 354, 453, 575, 16, 428, 5168, 9626, 282, 40867, 17902, 539, 32780, 16, 322, 14535, 18, 365, 3998, 8497, 17, 292, 13205, 14342, 33056, 1241, 2143, 1452, 411, 32486, 27551, 9950, 8666, 17, 273, 2611, 18055, 16308, 416, 5319, 3404, 3232, 6926, 389, 451, 16296, 2234, 12294, 30, 505, 13197, 281, 29320, 2389, 45668, 2314, 27110, 514, 5586, 951, 18, 45, 18, 43, 282, 8550, 404, 289, 34712, 17, 8871, 3924, 2756, 6906, 13423, 2009, 7541, 510, 722, 942, 639, 4641, 428, 309, 16177, 7315, 48194, 16, 453, 289, 3964, 349, 505, 13952, 18, 4338, 492, 15156, 46050, 1311, 7392, 9756, 541, 41760, 16, 961, 16, 2686, 16, 1320, 4247, 9700, 7406, 36146, 282, 2481, 266, 541, 9233, 670, 16, 11271, 16, 19111, 309, 3196, 7310, 5939, 18319, 332, 541, 17155, 15921, 18, 9788, 12904, 10056, 1908, 324, 510, 49905, 32081, 2433, 3182, 7975, 11686, 411, 48194, 16, 2966, 20202, 1423, 2689, 2127, 38012, 18, 1937, 975, 639, 2852, 16, 6956, 17447, 701, 411, 44006, 282, 6835, 17, 15900, 289, 664, 17809, 309, 403, 2603, 17, 19253, 637, 476, 18, 11339, 828, 6125, 29004, 32898, 33659, 289, 1852, 4085, 344, 16308, 416, 24743, 16, 1241, 2143, 1452, 5931, 4773, 15224, 33304, 873, 16, 5397, 1475, 4953, 297, 7923, 16, 1987, 1067, 300, 45492, 289, 281, 33069, 2734, 639, 322, 18236, 282, 45876, 2035, 8185 ]
[ 434, 294, 3327, 343, 18, 365, 8497, 17, 277, 492, 13504, 12479, 2786, 5937, 29004, 473, 43923, 12270, 2438, 505, 3499, 651, 11000, 16, 6983, 5460, 2916, 304, 27814, 402, 934, 6448, 49947, 9283, 29138, 7541, 281, 12202, 17, 441, 496, 289, 14377, 536, 16308, 536, 5153, 293, 17, 292, 26572, 18, 46448, 18542, 411, 48194, 16, 8338, 8339, 10253, 1141, 482, 7726, 37534, 37551, 289, 2685, 624, 18, 14528, 3712, 3960, 2926, 26928, 39307, 473, 964, 32898, 33659, 5188, 2358, 281, 7071, 1664, 1082, 16, 428, 13921, 15725, 16, 44959, 16, 42027, 5731, 48595, 289, 8279, 14323, 73, 934, 1241, 2143, 1452, 11361, 292, 709, 1195, 1420, 16, 322, 46308, 21204, 874, 14748, 281, 1110, 16, 1085, 2410, 7556, 31027, 16998, 324, 1013, 289, 393, 1788, 3622, 296, 4764, 18, 43730, 355, 9233, 281, 23705, 478, 26704, 11317, 4739, 1149, 16770, 28213, 470, 492, 1053, 5735, 3064, 10193, 38317, 29004, 478, 26704, 11317, 4739, 31284, 132, 105, 4545, 910, 7572, 300, 5973, 382, 281, 590, 884, 14692, 45607, 10816, 2487, 517, 863, 289, 769, 1813, 6224, 289, 11961, 29141, 382, 281, 336, 313, 388, 1703, 2242, 4520, 18, 365, 40867, 478, 20377, 748, 399, 470, 16835, 15867, 19311, 505, 17902, 432, 904, 478, 56, 1509, 21485, 41234, 470, 651, 15447, 477, 23734, 1354, 28994, 680, 634, 24994, 282, 12903, 16, 36645, 10056, 1908, 536, 309, 5137, 17086, 5722, 680, 21917, 1157, 18, 1789, 791, 3190, 282, 16149, 13197, 292, 16, 31398, 342, 5331, 31369, 4767, 473, 262, 1549, 670, 30883, 3611, 4224, 1352, 16883, 934, 13480, 448, 19844, 18453, 16, 683, 25325, 16093, 289, 32685, 28964, 651, 475, 15661, 48759, 289, 16, 4836, 16, 2245, 16667, 442, 1004, 360, 24069, 282, 505, 23626, 912, 18, 1606, 25155, 1056, 6222, 758, 24034, 14504, 15781, 7120, 353, 798, 20158, 419, 290, 33704, 3422, 282, 17676, 1544, 12873, 16, 14583, 18384, 13059, 852, 17, 578, 303, 395, 28966, 24934, 292, 1869, 289, 23673, 23402, 2365, 1147, 39051, 11673, 32290, 1015, 18, 10482, 16, 374, 1728, 28124, 2732, 354, 510, 294, 487, 306, 22313, 289, 15781, 40896, 385, 4782, 15360, 1624, 1038, 28571, 22292, 478, 2796, 1602, 425, 470, 289, 1372, 2989, 309, 13078, 1251, 2395, 323, 289, 13804, 14590, 9335, 16, 510, 1241, 2143, 1452, 282, 3709, 411, 7337, 8566, 478, 2796, 680, 834, 14325, 965, 861, 2046, 1244, 3213, 45679, 687, 1472, 11959, 2354, 294, 7785, 2179, 1999, 17152, 289, 40259, 10194, 1248, 6923, 40740, 454, 294, 341, 413, 21205, 25992, 344, 18, 8894, 8518, 773, 282, 7756, 478, 56, 1509, 21485, 41234, 470, 28994, 1162, 634, 32017, 281, 722, 13050, 30741, 6429, 291, 289, 2719, 42610, 1244, 412, 1080, 3250, 40126, 651, 3433, 575, 3257, 12623, 345, 35774, 282, 22847, 9044, 20491, 5902, 16, 428, 336, 313, 388, 670, 33589, 1683, 264, 18, 365, 9029, 2517, 281, 2658, 635, 282, 23626, 10056, 1908, 324, 34336, 15906, 282, 1174, 609, 304, 7741, 582, 289, 40941, 4422, 2132, 1825, 582, 16, 3147, 11061, 6779, 478, 20636, 470, 651, 21221, 292, 620, 539, 10078, 17, 49937, 1790, 32780, 16, 47435, 17740, 330, 1852, 16, 3057, 16, 37086, 367, 3651, 2771, 355, 16, 289, 31393, 3626, 5276, 5353, 343, 768, 611, 6041, 9591, 551, 476, 651, 14439, 28994, 718, 26703, 718, 21205, 25992, 287, 16, 453, 30515, 478, 10474, 12888, 15895, 346, 470, 282, 1906, 435, 16698, 1161, 39745, 18, 24031, 349, 7120, 353, 8994, 20158, 2922, 1241, 2143, 1452, 17857, 1829, 309, 6266, 3422, 16, 1586, 1143, 34287, 12781, 282, 3106, 8059, 541, 12211, 7541, 18, 1268, 1710, 3014, 13774, 377, 6149, 16, 21022, 16026, 265, 3712, 1195, 1835, 17275, 1223, 1482, 361, 289, 3113, 315, 27145, 289, 1262, 1310, 434, 4655, 1134, 10381, 634, 24994, 473, 3290, 478, 682, 1596, 11523, 1268, 7371, 8518, 5903, 281, 18858, 29242, 47231, 349, 33108, 13443, 19997, 416, 15699, 6166, 6115, 501, 6385, 4651, 9979, 329, 10056, 1908, 324, 322, 26899, 2712, 289, 322, 47104, 18, 602, 306, 942, 46715, 16, 428, 316, 370, 345, 283, 10573, 28391, 7384, 47231, 18, 967, 803, 334, 24880, 32810, 31078, 505, 1810, 322, 16017, 467, 16, 3057, 16, 5048, 2986, 5675, 274, 33328, 2274, 30058, 16, 1038, 2027, 17450, 282, 23402, 12561, 17, 635, 931, 267, 416, 33912, 18, 27179, 4744, 3334, 289, 3432, 5925, 16, 428, 3591, 2782, 15424, 29004, 16, 745, 12378, 282, 2913, 547, 1244, 1207, 281, 453, 5374, 2435, 478, 447, 10479, 39966, 20661, 910, 290, 1639, 6443, 13997, 31778, 1502, 6252, 18, 1241, 2143, 1452, 322, 9414, 5921, 1558, 282, 30820, 289, 322, 14459, 3108, 282, 11385, 368, 39748, 448, 14326, 7080, 19874, 289, 697, 33957, 17767, 18, 365, 3106, 7270, 7671, 492, 1141, 482, 9137, 15291, 3430, 539, 13048, 25090, 16, 367, 428, 14413, 510, 588, 1123, 15088, 26535, 282, 2701, 1334, 547, 6942, 16, 28293, 33690, 525, 39636, 1205, 448, 541, 10929, 21418, 18, 2, 1, 87, 1456, 81, 2448, 30, 26431, 42387, 7064, 7354, 341, 1833, 16279, 11065, 26333, 411, 17288, 2553, 18, 5971, 10516, 8093, 1177, 3321, 1011, 924, 16, 428, 6940, 6170, 12554, 645, 16, 2536, 36173, 27207, 26333, 289, 8693, 1779, 8284, 45566, 16, 4167, 371, 3422, 18, 365, 4698, 3678, 4498, 3419, 381, 10733, 3314, 282, 8311, 1045, 282, 4542, 19264, 5841, 891, 309, 11065, 21680, 2155, 477, 1963, 11944, 18, 31224, 30, 26431, 42387, 7064, 30551, 6191, 474, 7984, 307, 26333, 18, 1367, 803, 8977, 6499, 823, 3384, 9739, 6590, 276, 16, 1586, 7556, 1480, 4416, 13795, 954, 18, 14654, 3419, 290, 2734, 3440, 828, 24701, 1209, 11065, 26333, 16, 970, 11795, 282, 6899, 3462, 19974, 2160, 5439, 18, 21561, 411, 3482, 12383, 282, 6899, 3462, 11065, 32277, 2125, 6863, 309, 10866, 726, 282, 11946, 18, 4149, 840, 33193, 12848, 8362, 289, 17560, 282, 44449, 18, 3739, 15680, 32277, 2125, 6863, 309, 13602, 282, 3178, 24083, 4335, 4776, 16, 773, 1038, 3219, 10661, 12848, 5081, 18, 14654, 3419, 7265, 2175, 381, 8306, 11594, 16, 10733, 3314, 282, 8311, 1045, 16, 785, 7064, 35413, 831, 1241, 938, 8907, 576, 12652, 448, 4315, 700, 1279, 17344, 18, 3529, 898, 28384, 282, 7343, 11035, 10952, 1135, 18, 20346, 11281, 17, 7745, 7285, 10502, 32429, 26038, 320, 1024, 727, 23882, 1042, 267, 8324, 7769, 27852, 16, 8693, 1779, 8284, 45566, 282, 8156, 4016, 9622, 8665, 623, 7069, 16, 2815, 16, 374, 3164, 371, 3422, 18, 49855, 349, 1423 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 294, 3327, 343, 18, 365, 8497, 17, 277, 492, 13504, 12479, 2786, 5937, 29004, 473, 43923, 12270, 2438, 505, 3499, 651, 11000, 16, 6983, 5460, 2916, 304, 27814, 402, 934, 6448, 49947, 9283, 29138, 7541, 281, 12202, 17, 441, 496, 289, 14377, 536, 16308, 536, 5153, 293, 17, 292, 26572, 18, 46448, 18542, 411, 48194, 16, 8338, 8339, 10253, 1141, 482, 7726, 37534, 37551, 289, 2685, 624, 18, 14528, 3712, 3960, 2926, 26928, 39307, 473, 964, 32898, 33659, 5188, 2358, 281, 7071, 1664, 1082, 16, 428, 13921, 15725, 16, 44959, 16, 42027, 5731, 48595, 289, 8279, 14323, 73, 934, 1241, 2143, 1452, 11361, 292, 709, 1195, 1420, 16, 322, 46308, 21204, 874, 14748, 281, 1110, 16, 1085, 2410, 7556, 31027, 16998, 324, 1013, 289, 393, 1788, 3622, 296, 4764, 18, 43730, 355, 9233, 281, 23705, 478, 26704, 11317, 4739, 1149, 16770, 28213, 470, 492, 1053, 5735, 3064, 10193, 38317, 29004, 478, 26704, 11317, 4739, 31284, 132, 105, 4545, 910, 7572, 300, 5973, 382, 281, 590, 884, 14692, 45607, 10816, 2487, 517, 863, 289, 769, 1813, 6224, 289, 11961, 29141, 382, 281, 336, 313, 388, 1703, 2242, 4520, 18, 365, 40867, 478, 20377, 748, 399, 470, 16835, 15867, 19311, 505, 17902, 432, 904, 478, 56, 1509, 21485, 41234, 470, 651, 15447, 477, 23734, 1354, 28994, 680, 634, 24994, 282, 12903, 16, 36645, 10056, 1908, 536, 309, 5137, 17086, 5722, 680, 21917, 1157, 18, 1789, 791, 3190, 282, 16149, 13197, 292, 16, 31398, 342, 5331, 31369, 4767, 473, 262, 1549, 670, 30883, 3611, 4224, 1352, 16883, 934, 13480, 448, 19844, 18453, 16, 683, 25325, 16093, 289, 32685, 28964, 651, 475, 15661, 48759, 289, 16, 4836, 16, 2245, 16667, 442, 1004, 360, 24069, 282, 505, 23626, 912, 18, 1606, 25155, 1056, 6222, 758, 24034, 14504, 15781, 7120, 353, 798, 20158, 419, 290, 33704, 3422, 282, 17676, 1544, 12873, 16, 14583, 18384, 13059, 852, 17, 578, 303, 395, 28966, 24934, 292, 1869, 289, 23673, 23402, 2365, 1147, 39051, 11673, 32290, 1015, 18, 10482, 16, 374, 1728, 28124, 2732, 354, 510, 294, 487, 306, 22313, 289, 15781, 40896, 385, 4782, 15360, 1624, 1038, 28571, 22292, 478, 2796, 1602, 425, 470, 289, 1372, 2989, 309, 13078, 1251, 2395, 323, 289, 13804, 14590, 9335, 16, 510, 1241, 2143, 1452, 282, 3709, 411, 7337, 8566, 478, 2796, 680, 834, 14325, 965, 861, 2046, 1244, 3213, 45679, 687, 1472, 11959, 2354, 294, 7785, 2179, 1999, 17152, 289, 40259, 10194, 1248, 6923, 40740, 454, 294, 341, 413, 21205, 25992, 344, 18, 8894, 8518, 773, 282, 7756, 478, 56, 1509, 21485, 41234, 470, 28994, 1162, 634, 32017, 281, 722, 13050, 30741, 6429, 291, 289, 2719, 42610, 1244, 412, 1080, 3250, 40126, 651, 3433, 575, 3257, 12623, 345, 35774, 282, 22847, 9044, 20491, 5902, 16, 428, 336, 313, 388, 670, 33589, 1683, 264, 18, 365, 9029, 2517, 281, 2658, 635, 282, 23626, 10056, 1908, 324, 34336, 15906, 282, 1174, 609, 304, 7741, 582, 289, 40941, 4422, 2132, 1825, 582, 16, 3147, 11061, 6779, 478, 20636, 470, 651, 21221, 292, 620, 539, 10078, 17, 49937, 1790, 32780, 16, 47435, 17740, 330, 1852, 16, 3057, 16, 37086, 367, 3651, 2771, 355, 16, 289, 31393, 3626, 5276, 5353, 343, 768, 611, 6041, 9591, 551, 476, 651, 14439, 28994, 718, 26703, 718, 21205, 25992, 287, 16, 453, 30515, 478, 10474, 12888, 15895, 346, 470, 282, 1906, 435, 16698, 1161, 39745, 18, 24031, 349, 7120, 353, 8994, 20158, 2922, 1241, 2143, 1452, 17857, 1829, 309, 6266, 3422, 16, 1586, 1143, 34287, 12781, 282, 3106, 8059, 541, 12211, 7541, 18, 1268, 1710, 3014, 13774, 377, 6149, 16, 21022, 16026, 265, 3712, 1195, 1835, 17275, 1223, 1482, 361, 289, 3113, 315, 27145, 289, 1262, 1310, 434, 4655, 1134, 10381, 634, 24994, 473, 3290, 478, 682, 1596, 11523, 1268, 7371, 8518, 5903, 281, 18858, 29242, 47231, 349, 33108, 13443, 19997, 416, 15699, 6166, 6115, 501, 6385, 4651, 9979, 329, 10056, 1908, 324, 322, 26899, 2712, 289, 322, 47104, 18, 602, 306, 942, 46715, 16, 428, 316, 370, 345, 283, 10573, 28391, 7384, 47231, 18, 967, 803, 334, 24880, 32810, 31078, 505, 1810, 322, 16017, 467, 16, 3057, 16, 5048, 2986, 5675, 274, 33328, 2274, 30058, 16, 1038, 2027, 17450, 282, 23402, 12561, 17, 635, 931, 267, 416, 33912, 18, 27179, 4744, 3334, 289, 3432, 5925, 16, 428, 3591, 2782, 15424, 29004, 16, 745, 12378, 282, 2913, 547, 1244, 1207, 281, 453, 5374, 2435, 478, 447, 10479, 39966, 20661, 910, 290, 1639, 6443, 13997, 31778, 1502, 6252, 18, 1241, 2143, 1452, 322, 9414, 5921, 1558, 282, 30820, 289, 322, 14459, 3108, 282, 11385, 368, 39748, 448, 14326, 7080, 19874, 289, 697, 33957, 17767, 18, 365, 3106, 7270, 7671, 492, 1141, 482, 9137, 15291, 3430, 539, 13048, 25090, 16, 367, 428, 14413, 510, 588, 1123, 15088, 26535, 282, 2701, 1334, 547, 6942, 16, 28293, 33690, 525, 39636, 1205, 448, 541, 10929, 21418, 18, 2, 1, 87, 1456, 81, 2448, 30, 26431, 42387, 7064, 7354, 341, 1833, 16279, 11065, 26333, 411, 17288, 2553, 18, 5971, 10516, 8093, 1177, 3321, 1011, 924, 16, 428, 6940, 6170, 12554, 645, 16, 2536, 36173, 27207, 26333, 289, 8693, 1779, 8284, 45566, 16, 4167, 371, 3422, 18, 365, 4698, 3678, 4498, 3419, 381, 10733, 3314, 282, 8311, 1045, 282, 4542, 19264, 5841, 891, 309, 11065, 21680, 2155, 477, 1963, 11944, 18, 31224, 30, 26431, 42387, 7064, 30551, 6191, 474, 7984, 307, 26333, 18, 1367, 803, 8977, 6499, 823, 3384, 9739, 6590, 276, 16, 1586, 7556, 1480, 4416, 13795, 954, 18, 14654, 3419, 290, 2734, 3440, 828, 24701, 1209, 11065, 26333, 16, 970, 11795, 282, 6899, 3462, 19974, 2160, 5439, 18, 21561, 411, 3482, 12383, 282, 6899, 3462, 11065, 32277, 2125, 6863, 309, 10866, 726, 282, 11946, 18, 4149, 840, 33193, 12848, 8362, 289, 17560, 282, 44449, 18, 3739, 15680, 32277, 2125, 6863, 309, 13602, 282, 3178, 24083, 4335, 4776, 16, 773, 1038, 3219, 10661, 12848, 5081, 18, 14654, 3419, 7265, 2175, 381, 8306, 11594, 16, 10733, 3314, 282, 8311, 1045, 16, 785, 7064, 35413, 831, 1241, 938, 8907, 576, 12652, 448, 4315, 700, 1279, 17344, 18, 3529, 898, 28384, 282, 7343, 11035, 10952, 1135, 18, 20346, 11281, 17, 7745, 7285, 10502, 32429, 26038, 320, 1024, 727, 23882, 1042, 267, 8324, 7769, 27852, 16, 8693, 1779, 8284, 45566, 282, 8156, 4016, 9622, 8665, 623, 7069, 16, 2815, 16, 374, 3164, 371, 3422, 18, 49855, 349, 1423 ]
[ 16619, 6170, 12554, 645, 22646, 364, 309, 2086, 24004, 289, 35413, 831, 1241, 938, 510, 30490, 289, 9798, 13764, 2553, 18, 817, 1559, 16865, 6170, 440, 2895, 496, 1011, 4033, 1822, 660, 2725, 513, 354, 3026, 686, 262, 16, 1029, 371, 27661, 408, 15340, 3826, 12010, 18, 2112, 978, 7285, 42387, 7064, 9458, 11394, 281, 4676, 30449, 12672, 13223, 16, 515, 827, 12010, 2650, 322, 16059, 9729, 44454, 1116, 13979, 16, 502, 1441, 282, 5971, 14605, 17273, 4110, 4345, 18, 2263, 6170, 12554, 645, 16, 1029, 3164, 282, 14154, 27082, 17, 46546, 394, 16, 1055, 322, 36229, 16, 515, 505, 4411, 7362, 2750, 34733, 27852, 2815, 21408, 1624, 374, 281, 38450, 4608, 10501, 7036, 290, 30551, 4543, 26333, 18, 478, 1358, 11503, 16, 374, 417, 22865, 1719, 1858, 910, 510, 2323, 678, 18, 6499, 823, 3384, 9739, 6590, 276, 9321, 282, 9937, 16, 374, 3003, 282, 4599, 11065, 32277, 2394, 20620, 21137, 6730, 281, 37179, 1631, 282, 4008, 18, 1895, 8608, 11944, 11563, 5561, 9744, 1251, 12984, 2086, 272, 1080, 1241, 938, 289, 7285, 375, 1703, 13129, 4118, 17131, 5325, 14397, 482, 4033, 464, 9511, 18, 2949, 924, 16, 567, 12241, 309, 4025, 636, 24510, 8099, 7796, 1552, 11254, 2230, 10231, 1236, 292, 388, 5228, 23289, 2248, 16, 1029, 4263, 22289, 924, 16, 374, 13927, 6992, 5304, 5134, 329, 965, 6170, 12554, 2155, 18, 5585, 266, 44034, 895, 24800, 37739, 7080, 1276, 26958, 282, 12402, 12609, 476, 289, 37217, 11148, 409, 5971, 15844, 281, 2145, 18, 25896, 1700, 290, 11065, 26333, 639, 7265, 16, 2486, 5019, 420, 4041, 294, 4025, 636, 38783, 21821, 18, 2145, 9474, 16506, 1038, 309, 38032, 13279, 37697, 439, 9596, 528, 648, 507, 16, 1029, 685, 22136, 309, 4025, 636, 282, 5017, 11290, 11023, 334, 38601, 282, 30374, 680, 3416, 18, 365, 4722, 445, 21614, 10984, 2891, 6590, 276, 46287, 282, 10013, 1045, 16, 785, 1011, 17761, 24624, 40270, 459, 32598, 16714, 46664, 309, 24044, 263, 8124, 898, 2671, 7372, 2364, 7593, 26333, 16, 282, 970, 2875, 25898, 19833, 8306, 285, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 1175, 4137, 6732, 322, 15279, 28060, 41115, 14557, 1133, 4466, 510, 11826, 282, 378, 21541, 283, 292, 4172, 16, 2319, 282, 5305, 5271, 322, 4369, 5740, 18823, 1175, 18, 4756, 5037, 4000, 1038, 9473, 28060, 9734, 1433, 12037, 29051, 8615, 269, 282, 31578, 17, 476, 17, 36637, 44949, 510, 4145, 16, 360, 1639, 5906, 27465, 27411, 291, 898, 23220, 1007, 411, 17, 431, 29471, 38658, 4048, 332, 10616, 18, 31224, 30, 22681, 1175, 4137, 6732, 322, 15069, 28060, 41115, 14557, 1133, 4466, 510, 11826, 282, 22350, 268, 35392, 1212, 378, 21541, 283, 292, 4172, 18, 18162, 14535, 3828, 3781, 17, 15975, 6677, 4000, 6370, 26334, 18, 478, 16385, 2567, 12917, 1003, 910, 510, 24096, 1694, 33811, 478, 36625, 861, 889, 3003, 865, 847, 5773, 15878, 6279, 289, 5751, 3328, 18060, 924, 16, 374, 1759, 20925, 1175, 906, 23220, 798, 360, 36082, 17, 28028, 14620, 2417, 8904, 22026, 16586, 718, 7920, 473, 7641, 684, 13, 360, 1061, 3972, 18, 43181, 2118, 6677, 4000, 309, 23130, 16, 2319, 322, 36841, 27411, 291, 505, 2553, 16, 24520, 373, 334, 14975, 3538, 7322, 18, 3557, 1033, 374, 282, 11872, 4145, 779, 6732, 726, 36782, 18291, 309, 14108, 36082, 282, 7664, 1941, 4096, 18, 3529, 25207, 22941, 334, 22463, 30647, 7928, 37440, 13505, 17234, 27411, 395, 12570, 282, 29051, 14097, 292, 282, 31578, 17, 476, 17, 36637, 44949, 510, 4145, 411, 17, 431, 37976, 282, 2797, 375, 1484, 1011, 8421, 29471, 38658, 4048, 332, 10616, 18, 365, 803, 1045, 28784, 36917, 6295, 30, 36524, 687, 282, 970, 16, 374, 1441, 11550, 684, 322, 7236, 3003, 334, 4369, 2977, 11854, 309, 360, 24379, 4909, 7715, 16, 367, 583, 3828, 381, 23220, 763, 18, 2667, 978, 22481, 11285, 5354, 41554, 329, 2759, 2553, 2511, 40203, 13822, 17, 8157, 289, 28147, 7057, 17985, 1737, 360, 21741, 9806, 1033, 2555, 27465, 21658, 16, 2202, 275, 697, 9353, 758, 282, 2797, 2976, 1385, 45432, 4678, 309, 9185, 29471, 4048, 332, 10616, 289, 4760, 9798, 6677, 10143, 3806, 48181, 2976, 1161, 15284, 36785, 4280, 928, 3340, 18, 967, 803, 478, 447, 11835, 470, 27411, 395, 16, 961, 322, 5684, 37976, 282, 2797, 375, 1484, 289, 322, 6535, 282, 5734, 2083, 424, 43125, 16, 639, 33193, 15542, 17802, 309, 3455, 282, 14097, 292, 424, 13550, 15296, 39790, 510, 749, 9526, 14560, 382, 289, 10673, 1175, 18, 1303, 16, 1660, 870, 4477, 23249, 50101, 309, 43035, 16, 10222, 687, 282, 697, 20423, 35893, 18, 365, 12354, 7847, 17, 361, 309, 11073, 22026, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 6732, 8566, 1158, 668, 25620, 282, 378, 21541, 283, 10517, 322, 424, 2200, 39790, 478, 272, 307, 8498, 861, 478, 25821, 20138, 30, 2988, 11187, 6551, 17884, 424, 13550, 15296, 39790, 16, 2988, 2141, 322, 15893, 519, 21741, 9806, 18, 459, 502, 16, 289, 4753, 1623, 2802, 8498, 2553, 910, 510, 10624, 3064, 4830, 478, 15210, 861, 2112, 4075, 11550, 684, 381, 23220, 763, 2759, 2553, 360, 8615, 269, 289, 4369, 2557, 21658, 687, 424, 13550, 43038, 18106, 5037, 4000, 1858, 22699, 2701, 11096, 1335, 8059, 18, 478, 6161, 1003, 4277, 30120, 2797, 11365, 16, 502, 1655, 2006, 2955, 17884, 424, 13092, 3125, 5925, 6492, 1134, 35, 889, 16, 2091, 16, 3084, 1247, 910, 510, 1109, 6732, 18, 2046, 10188, 5222, 2553, 475, 575, 3828, 16, 374, 7064, 4155, 13617, 1209, 18090, 21658, 309, 16620, 29149, 18, 478, 4348, 16, 749, 10651, 9012, 16, 322, 3984, 3696, 2666, 7045, 42574, 16, 322, 3984, 9075, 3194, 7168, 16586, 4287, 7099, 3455, 282, 14097, 292, 16, 827, 1085, 17, 299, 411, 1129, 17970, 18603, 309, 20791, 282, 26979, 3106, 910, 510, 24096, 1694, 9620, 478, 49097, 6019, 861, 1912, 3972, 309, 16544, 547, 26862, 14557, 718, 7920, 1175, 473, 43488, 730, 13, 639, 7239, 41229, 3003, 290, 970, 16, 374, 4477, 23249, 2657, 1886, 282, 378, 21541, 283, 10517, 424, 13550, 15296, 39790, 18, 27258, 267, 6328, 5823, 939, 1325, 280, 6225, 2184, 44462, 496, 27243, 730, 16, 867, 1033, 374, 3333, 411, 1129, 510, 39512, 1157, 16, 28693, 5286, 32908, 16, 830, 944, 14712, 1262, 16, 27801, 1452, 607, 1262, 16, 469, 8126, 295, 40577, 16, 2161, 315, 15389, 510, 764, 349, 1293, 2868, 519, 14557, 718, 15160, 19645, 290, 3177, 17472, 12570, 282, 14097, 292, 18, 32418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16619, 6170, 12554, 645, 22646, 364, 309, 2086, 24004, 289, 35413, 831, 1241, 938, 510, 30490, 289, 9798, 13764, 2553, 18, 817, 1559, 16865, 6170, 440, 2895, 496, 1011, 4033, 1822, 660, 2725, 513, 354, 3026, 686, 262, 16, 1029, 371, 27661, 408, 15340, 3826, 12010, 18, 2112, 978, 7285, 42387, 7064, 9458, 11394, 281, 4676, 30449, 12672, 13223, 16, 515, 827, 12010, 2650, 322, 16059, 9729, 44454, 1116, 13979, 16, 502, 1441, 282, 5971, 14605, 17273, 4110, 4345, 18, 2263, 6170, 12554, 645, 16, 1029, 3164, 282, 14154, 27082, 17, 46546, 394, 16, 1055, 322, 36229, 16, 515, 505, 4411, 7362, 2750, 34733, 27852, 2815, 21408, 1624, 374, 281, 38450, 4608, 10501, 7036, 290, 30551, 4543, 26333, 18, 478, 1358, 11503, 16, 374, 417, 22865, 1719, 1858, 910, 510, 2323, 678, 18, 6499, 823, 3384, 9739, 6590, 276, 9321, 282, 9937, 16, 374, 3003, 282, 4599, 11065, 32277, 2394, 20620, 21137, 6730, 281, 37179, 1631, 282, 4008, 18, 1895, 8608, 11944, 11563, 5561, 9744, 1251, 12984, 2086, 272, 1080, 1241, 938, 289, 7285, 375, 1703, 13129, 4118, 17131, 5325, 14397, 482, 4033, 464, 9511, 18, 2949, 924, 16, 567, 12241, 309, 4025, 636, 24510, 8099, 7796, 1552, 11254, 2230, 10231, 1236, 292, 388, 5228, 23289, 2248, 16, 1029, 4263, 22289, 924, 16, 374, 13927, 6992, 5304, 5134, 329, 965, 6170, 12554, 2155, 18, 5585, 266, 44034, 895, 24800, 37739, 7080, 1276, 26958, 282, 12402, 12609, 476, 289, 37217, 11148, 409, 5971, 15844, 281, 2145, 18, 25896, 1700, 290, 11065, 26333, 639, 7265, 16, 2486, 5019, 420, 4041, 294, 4025, 636, 38783, 21821, 18, 2145, 9474, 16506, 1038, 309, 38032, 13279, 37697, 439, 9596, 528, 648, 507, 16, 1029, 685, 22136, 309, 4025, 636, 282, 5017, 11290, 11023, 334, 38601, 282, 30374, 680, 3416, 18, 365, 4722, 445, 21614, 10984, 2891, 6590, 276, 46287, 282, 10013, 1045, 16, 785, 1011, 17761, 24624, 40270, 459, 32598, 16714, 46664, 309, 24044, 263, 8124, 898, 2671, 7372, 2364, 7593, 26333, 16, 282, 970, 2875, 25898, 19833, 8306, 285, 18, 2, 1, 87, 1456, 81, 2448, 30, 22681, 1175, 4137, 6732, 322, 15279, 28060, 41115, 14557, 1133, 4466, 510, 11826, 282, 378, 21541, 283, 292, 4172, 16, 2319, 282, 5305, 5271, 322, 4369, 5740, 18823, 1175, 18, 4756, 5037, 4000, 1038, 9473, 28060, 9734, 1433, 12037, 29051, 8615, 269, 282, 31578, 17, 476, 17, 36637, 44949, 510, 4145, 16, 360, 1639, 5906, 27465, 27411, 291, 898, 23220, 1007, 411, 17, 431, 29471, 38658, 4048, 332, 10616, 18, 31224, 30, 22681, 1175, 4137, 6732, 322, 15069, 28060, 41115, 14557, 1133, 4466, 510, 11826, 282, 22350, 268, 35392, 1212, 378, 21541, 283, 292, 4172, 18, 18162, 14535, 3828, 3781, 17, 15975, 6677, 4000, 6370, 26334, 18, 478, 16385, 2567, 12917, 1003, 910, 510, 24096, 1694, 33811, 478, 36625, 861, 889, 3003, 865, 847, 5773, 15878, 6279, 289, 5751, 3328, 18060, 924, 16, 374, 1759, 20925, 1175, 906, 23220, 798, 360, 36082, 17, 28028, 14620, 2417, 8904, 22026, 16586, 718, 7920, 473, 7641, 684, 13, 360, 1061, 3972, 18, 43181, 2118, 6677, 4000, 309, 23130, 16, 2319, 322, 36841, 27411, 291, 505, 2553, 16, 24520, 373, 334, 14975, 3538, 7322, 18, 3557, 1033, 374, 282, 11872, 4145, 779, 6732, 726, 36782, 18291, 309, 14108, 36082, 282, 7664, 1941, 4096, 18, 3529, 25207, 22941, 334, 22463, 30647, 7928, 37440, 13505, 17234, 27411, 395, 12570, 282, 29051, 14097, 292, 282, 31578, 17, 476, 17, 36637, 44949, 510, 4145, 411, 17, 431, 37976, 282, 2797, 375, 1484, 1011, 8421, 29471, 38658, 4048, 332, 10616, 18, 365, 803, 1045, 28784, 36917, 6295, 30, 36524, 687, 282, 970, 16, 374, 1441, 11550, 684, 322, 7236, 3003, 334, 4369, 2977, 11854, 309, 360, 24379, 4909, 7715, 16, 367, 583, 3828, 381, 23220, 763, 18, 2667, 978, 22481, 11285, 5354, 41554, 329, 2759, 2553, 2511, 40203, 13822, 17, 8157, 289, 28147, 7057, 17985, 1737, 360, 21741, 9806, 1033, 2555, 27465, 21658, 16, 2202, 275, 697, 9353, 758, 282, 2797, 2976, 1385, 45432, 4678, 309, 9185, 29471, 4048, 332, 10616, 289, 4760, 9798, 6677, 10143, 3806, 48181, 2976, 1161, 15284, 36785, 4280, 928, 3340, 18, 967, 803, 478, 447, 11835, 470, 27411, 395, 16, 961, 322, 5684, 37976, 282, 2797, 375, 1484, 289, 322, 6535, 282, 5734, 2083, 424, 43125, 16, 639, 33193, 15542, 17802, 309, 3455, 282, 14097, 292, 424, 13550, 15296, 39790, 510, 749, 9526, 14560, 382, 289, 10673, 1175, 18, 1303, 16, 1660, 870, 4477, 23249, 50101, 309, 43035, 16, 10222, 687, 282, 697, 20423, 35893, 18, 365, 12354, 7847, 17, 361, 309, 11073, 22026, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 6732, 8566, 1158, 668, 25620, 282, 378, 21541, 283, 10517, 322, 424, 2200, 39790, 478, 272, 307, 8498, 861, 478, 25821, 20138, 30, 2988, 11187, 6551, 17884, 424, 13550, 15296, 39790, 16, 2988, 2141, 322, 15893, 519, 21741, 9806, 18, 459, 502, 16, 289, 4753, 1623, 2802, 8498, 2553, 910, 510, 10624, 3064, 4830, 478, 15210, 861, 2112, 4075, 11550, 684, 381, 23220, 763, 2759, 2553, 360, 8615, 269, 289, 4369, 2557, 21658, 687, 424, 13550, 43038, 18106, 5037, 4000, 1858, 22699, 2701, 11096, 1335, 8059, 18, 478, 6161, 1003, 4277, 30120, 2797, 11365, 16, 502, 1655, 2006, 2955, 17884, 424, 13092, 3125, 5925, 6492, 1134, 35, 889, 16, 2091, 16, 3084, 1247, 910, 510, 1109, 6732, 18, 2046, 10188, 5222, 2553, 475, 575, 3828, 16, 374, 7064, 4155, 13617, 1209, 18090, 21658, 309, 16620, 29149, 18, 478, 4348, 16, 749, 10651, 9012, 16, 322, 3984, 3696, 2666, 7045, 42574, 16, 322, 3984, 9075, 3194, 7168, 16586, 4287, 7099, 3455, 282, 14097, 292, 16, 827, 1085, 17, 299, 411, 1129, 17970, 18603, 309, 20791, 282, 26979, 3106, 910, 510, 24096, 1694, 9620, 478, 49097, 6019, 861, 1912, 3972, 309, 16544, 547, 26862, 14557, 718, 7920, 1175, 473, 43488, 730, 13, 639, 7239, 41229, 3003, 290, 970, 16, 374, 4477, 23249, 2657, 1886, 282, 378, 21541, 283, 10517, 424, 13550, 15296, 39790, 18, 27258, 267, 6328, 5823, 939, 1325, 280, 6225, 2184, 44462, 496, 27243, 730, 16, 867, 1033, 374, 3333, 411, 1129, 510, 39512, 1157, 16, 28693, 5286, 32908, 16, 830, 944, 14712, 1262, 16, 27801, 1452, 607, 1262, 16, 469, 8126, 295, 40577, 16, 2161, 315, 15389, 510, 764, 349, 1293, 2868, 519, 14557, 718, 15160, 19645, 290, 3177, 17472, 12570, 282, 14097, 292, 18, 32418 ]
[ 582, 5952, 7342, 1175, 8973, 981, 321, 7929, 749, 29533, 8566, 3003, 14557, 718, 15160, 32680, 30, 478, 19563, 5650, 7650, 25891, 3003, 510, 1513, 9373, 289, 475, 34955, 18, 20782, 2166, 334, 19362, 5064, 4075, 277, 898, 16, 515, 16, 4836, 16, 906, 14321, 16, 374, 656, 32544, 16, 2838, 289, 749, 30396, 16, 515, 3984, 34955, 289, 21882, 475, 16, 753, 14919, 9288, 541, 11854, 18, 3771, 1494, 334, 17, 10323, 33976, 325, 7471, 16, 367, 1542, 6295, 10859, 764, 1143, 1333, 289, 39950, 910, 510, 7332, 1694, 41816, 8818, 18, 365, 7623, 2083, 3665, 16, 374, 329, 2759, 2553, 8849, 1939, 28, 9971, 11314, 541, 11815, 309, 10235, 2411, 2662, 6566, 23745, 18, 2046, 1514, 7174, 1757, 21999, 309, 3455, 282, 13550, 41042, 31964, 764, 10412, 6886, 949, 299, 31416, 16688, 8424, 424, 9444, 6677, 29206, 8809, 3320, 2797, 2976, 17, 464, 400, 2682, 473, 45, 15319, 13, 48243, 37814, 845, 10084, 18, 5890, 30234, 13458, 1812, 5189, 749, 17525, 25996, 1175, 16, 367, 18623, 451, 14107, 21658, 726, 685, 14127, 282, 11550, 684, 309, 21783, 18, 45235, 1157, 3337, 530, 40024, 10145, 309, 23758, 13979, 13550, 5946, 30396, 30, 322, 24755, 2874, 18739, 48491, 1175, 289, 10721, 296, 23282, 14557, 718, 7920, 2553, 16, 367, 13094, 1929, 4139, 21772, 322, 2993, 35739, 28022, 12632, 18, 385, 4778, 16264, 289, 13280, 387, 2890, 16228, 309, 7759, 21917, 1157, 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, 286, 320, 2725, 6436, 40394, 411, 478, 563, 455, 36291, 1614, 332, 3583, 861, 21102, 2795, 10722, 8300, 17799, 329, 12234, 680, 4966, 16, 1586, 726, 282, 9937, 24905, 2615, 10133, 309, 7285, 582, 1034, 10089, 297, 8367, 16, 840, 4137, 17958, 288, 2506, 17, 39121, 18, 1178, 975, 322, 9553, 24924, 965, 43837, 2175, 16, 43381, 478, 563, 455, 10347, 470, 895, 4244, 451, 12987, 510, 8860, 1024, 15761, 1496, 286, 670, 35798, 301, 472, 17159, 18, 31224, 30, 677, 10666, 12117, 4788, 478, 563, 455, 36291, 1614, 332, 3583, 470, 351, 11415, 31804, 381, 15369, 7025, 365, 2329, 2725, 19218, 281, 5174, 42398, 4966, 18, 21102, 465, 2854, 10722, 8300, 17799, 9540, 4137, 17958, 288, 2506, 17, 39121, 18, 4016, 3972, 329, 12234, 778, 3216, 24905, 1595, 2615, 10133, 309, 36976, 1034, 10089, 297, 8367, 18, 27252, 320, 742, 7583, 4966, 651, 19883, 778, 478, 1182, 312, 4196, 17, 1009, 370, 842, 356, 861, 1268, 788, 286, 17958, 288, 2506, 272, 289, 20629, 5491, 4797, 3017, 282, 12013, 28604, 18, 824, 3352, 478, 563, 1605, 910, 827, 492, 322, 5304, 24924, 965, 282, 882, 416, 3538, 16, 43381, 329, 12234, 778, 3216, 895, 4244, 451, 12987, 510, 8860, 1024, 15761, 1496, 286, 670, 35798, 301, 472, 17159, 18, 12250, 406, 282, 14526, 41541, 3419, 8737, 604, 29599, 9805, 9680, 16, 4373, 8103, 43248, 281, 3348, 411, 23904, 28604, 18, 2725, 6436, 510, 478, 1428, 22346, 269, 470, 48119, 21363, 16452, 274, 16, 478, 13775, 16470, 470, 519, 9790, 19500, 18, 999, 478, 563, 455, 10347, 1614, 332, 512, 470, 492, 11347, 281, 12972, 334, 6383, 1205, 473, 35110, 16, 281, 23431, 21842, 353, 13, 309, 6688, 28253, 16, 367, 282, 8439, 17, 277, 4167, 282, 9680, 1212, 33259, 4966, 18, 385, 478, 563, 455, 342, 496, 470, 492, 6382, 289, 5627, 16, 289, 5156, 16, 289, 1962, 448, 14649, 18, 2725, 6436, 16999, 400, 3064, 282, 14007, 1212, 11258, 17, 20195, 19, 8771, 16, 22499, 33742, 2775, 19137, 289, 5880, 306, 21106, 23003, 1624, 12162, 14242, 26567, 37571, 17, 15853, 19, 3572, 18, 439, 13798, 4440, 17, 361, 16, 1011, 40483, 36462, 834, 46659, 3129, 962, 342, 16, 492, 685, 9540, 22028, 2854, 10722, 8300, 17799, 18, 9967, 360, 16192, 382, 478, 265, 18, 290, 18, 910, 4813, 309, 3215, 7670, 3595, 7005, 4966, 16, 2725, 6436, 11447, 811, 18, 478, 563, 455, 10347, 470, 28076, 309, 12159, 430, 19, 28, 21451, 18, 3557, 322, 2619, 2725, 6436, 322, 1559, 9231, 11968, 2398, 772, 5386, 16, 30377, 48431, 9518, 17, 13733, 19, 2783, 478, 404, 314, 20863, 536, 861, 478, 7530, 31379, 22474, 1904, 16, 510, 8388, 364, 478, 412, 8559, 400, 2497, 470, 16661, 2725, 6436, 18, 510, 7537, 1269, 20063, 16287, 861, 439, 1215, 32124, 6729, 385, 897, 10502, 16, 5612, 1779, 478, 563, 455, 10347, 470, 334, 8954, 8900, 289, 282, 3155, 547, 40094, 322, 12723, 7216, 16, 3821, 1479, 6180, 25772, 18, 11339, 1223, 651, 282, 2725, 19218, 18, 478, 6161, 745, 6696, 1660, 17, 299, 9422, 16, 773, 1381, 12631, 17799, 910, 510, 22014, 16452, 5952, 18, 2046, 9770, 7586, 385, 897, 10706, 322, 12122, 576, 289, 1103, 45467, 281, 2725, 791, 536, 11389, 764, 309, 1272, 779, 18, 967, 803, 37519, 16452, 5952, 395, 651, 5880, 306, 28265, 1388, 272, 1624, 44771, 306, 42982, 3033, 1624, 6313, 12437, 15003, 2279, 272, 1624, 27423, 385, 31918, 825, 16, 8548, 1508, 6698, 21322, 272, 289, 4239, 6520, 39791, 329, 651, 3531, 11418, 322, 1978, 857, 18, 478, 677, 4101, 4701, 282, 478, 563, 455, 342, 464, 470, 2152, 7556, 16791, 467, 18, 11966, 16, 32131, 7969, 7193, 910, 510, 3153, 39791, 18, 29124, 16, 478, 563, 455, 10347, 910, 4419, 1783, 659, 1510, 12232, 2764, 309, 8460, 26911, 1081, 4999, 16, 3508, 26417, 18, 1937, 17, 299, 2452, 329, 12234, 718, 7586, 685, 12916, 282, 28604, 18, 385, 1110, 1326, 6295, 16, 6218, 16, 21183, 16, 2805, 282, 5968, 38484, 29873, 16, 515, 289, 281, 6376, 5368, 8533, 304, 12525, 48119, 269, 1162, 7193, 14830, 309, 7457, 18, 478, 563, 455, 10347, 910, 2091, 16, 322, 2250, 11827, 651, 49176, 1718, 2147, 282, 10717, 19205, 381, 803, 28269, 3789, 2548, 16, 515, 289, 16, 428, 7967, 16, 322, 1570, 2565, 18, 8276, 1011, 31776, 718, 21842, 16, 18100, 1421, 14248, 9410, 18, 7909, 651, 360, 478, 42652, 324, 470, 473, 20, 30, 21, 504, 934, 2512, 651, 360, 478, 1098, 3583, 470, 473, 21, 30, 26, 13, 289, 3210, 651, 360, 14118, 473, 21, 30, 24, 814, 403, 15695, 16, 282, 36798, 8267, 1904, 16480, 3720, 28265, 1388, 1624, 8851, 5222, 478, 306, 332, 512, 933, 470, 5514, 16, 32471, 1510, 1272, 473, 20, 15, 22, 13, 26654, 289, 16, 942, 2023, 16, 1480, 16807, 1779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 582, 5952, 7342, 1175, 8973, 981, 321, 7929, 749, 29533, 8566, 3003, 14557, 718, 15160, 32680, 30, 478, 19563, 5650, 7650, 25891, 3003, 510, 1513, 9373, 289, 475, 34955, 18, 20782, 2166, 334, 19362, 5064, 4075, 277, 898, 16, 515, 16, 4836, 16, 906, 14321, 16, 374, 656, 32544, 16, 2838, 289, 749, 30396, 16, 515, 3984, 34955, 289, 21882, 475, 16, 753, 14919, 9288, 541, 11854, 18, 3771, 1494, 334, 17, 10323, 33976, 325, 7471, 16, 367, 1542, 6295, 10859, 764, 1143, 1333, 289, 39950, 910, 510, 7332, 1694, 41816, 8818, 18, 365, 7623, 2083, 3665, 16, 374, 329, 2759, 2553, 8849, 1939, 28, 9971, 11314, 541, 11815, 309, 10235, 2411, 2662, 6566, 23745, 18, 2046, 1514, 7174, 1757, 21999, 309, 3455, 282, 13550, 41042, 31964, 764, 10412, 6886, 949, 299, 31416, 16688, 8424, 424, 9444, 6677, 29206, 8809, 3320, 2797, 2976, 17, 464, 400, 2682, 473, 45, 15319, 13, 48243, 37814, 845, 10084, 18, 5890, 30234, 13458, 1812, 5189, 749, 17525, 25996, 1175, 16, 367, 18623, 451, 14107, 21658, 726, 685, 14127, 282, 11550, 684, 309, 21783, 18, 45235, 1157, 3337, 530, 40024, 10145, 309, 23758, 13979, 13550, 5946, 30396, 30, 322, 24755, 2874, 18739, 48491, 1175, 289, 10721, 296, 23282, 14557, 718, 7920, 2553, 16, 367, 13094, 1929, 4139, 21772, 322, 2993, 35739, 28022, 12632, 18, 385, 4778, 16264, 289, 13280, 387, 2890, 16228, 309, 7759, 21917, 1157, 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, 286, 320, 2725, 6436, 40394, 411, 478, 563, 455, 36291, 1614, 332, 3583, 861, 21102, 2795, 10722, 8300, 17799, 329, 12234, 680, 4966, 16, 1586, 726, 282, 9937, 24905, 2615, 10133, 309, 7285, 582, 1034, 10089, 297, 8367, 16, 840, 4137, 17958, 288, 2506, 17, 39121, 18, 1178, 975, 322, 9553, 24924, 965, 43837, 2175, 16, 43381, 478, 563, 455, 10347, 470, 895, 4244, 451, 12987, 510, 8860, 1024, 15761, 1496, 286, 670, 35798, 301, 472, 17159, 18, 31224, 30, 677, 10666, 12117, 4788, 478, 563, 455, 36291, 1614, 332, 3583, 470, 351, 11415, 31804, 381, 15369, 7025, 365, 2329, 2725, 19218, 281, 5174, 42398, 4966, 18, 21102, 465, 2854, 10722, 8300, 17799, 9540, 4137, 17958, 288, 2506, 17, 39121, 18, 4016, 3972, 329, 12234, 778, 3216, 24905, 1595, 2615, 10133, 309, 36976, 1034, 10089, 297, 8367, 18, 27252, 320, 742, 7583, 4966, 651, 19883, 778, 478, 1182, 312, 4196, 17, 1009, 370, 842, 356, 861, 1268, 788, 286, 17958, 288, 2506, 272, 289, 20629, 5491, 4797, 3017, 282, 12013, 28604, 18, 824, 3352, 478, 563, 1605, 910, 827, 492, 322, 5304, 24924, 965, 282, 882, 416, 3538, 16, 43381, 329, 12234, 778, 3216, 895, 4244, 451, 12987, 510, 8860, 1024, 15761, 1496, 286, 670, 35798, 301, 472, 17159, 18, 12250, 406, 282, 14526, 41541, 3419, 8737, 604, 29599, 9805, 9680, 16, 4373, 8103, 43248, 281, 3348, 411, 23904, 28604, 18, 2725, 6436, 510, 478, 1428, 22346, 269, 470, 48119, 21363, 16452, 274, 16, 478, 13775, 16470, 470, 519, 9790, 19500, 18, 999, 478, 563, 455, 10347, 1614, 332, 512, 470, 492, 11347, 281, 12972, 334, 6383, 1205, 473, 35110, 16, 281, 23431, 21842, 353, 13, 309, 6688, 28253, 16, 367, 282, 8439, 17, 277, 4167, 282, 9680, 1212, 33259, 4966, 18, 385, 478, 563, 455, 342, 496, 470, 492, 6382, 289, 5627, 16, 289, 5156, 16, 289, 1962, 448, 14649, 18, 2725, 6436, 16999, 400, 3064, 282, 14007, 1212, 11258, 17, 20195, 19, 8771, 16, 22499, 33742, 2775, 19137, 289, 5880, 306, 21106, 23003, 1624, 12162, 14242, 26567, 37571, 17, 15853, 19, 3572, 18, 439, 13798, 4440, 17, 361, 16, 1011, 40483, 36462, 834, 46659, 3129, 962, 342, 16, 492, 685, 9540, 22028, 2854, 10722, 8300, 17799, 18, 9967, 360, 16192, 382, 478, 265, 18, 290, 18, 910, 4813, 309, 3215, 7670, 3595, 7005, 4966, 16, 2725, 6436, 11447, 811, 18, 478, 563, 455, 10347, 470, 28076, 309, 12159, 430, 19, 28, 21451, 18, 3557, 322, 2619, 2725, 6436, 322, 1559, 9231, 11968, 2398, 772, 5386, 16, 30377, 48431, 9518, 17, 13733, 19, 2783, 478, 404, 314, 20863, 536, 861, 478, 7530, 31379, 22474, 1904, 16, 510, 8388, 364, 478, 412, 8559, 400, 2497, 470, 16661, 2725, 6436, 18, 510, 7537, 1269, 20063, 16287, 861, 439, 1215, 32124, 6729, 385, 897, 10502, 16, 5612, 1779, 478, 563, 455, 10347, 470, 334, 8954, 8900, 289, 282, 3155, 547, 40094, 322, 12723, 7216, 16, 3821, 1479, 6180, 25772, 18, 11339, 1223, 651, 282, 2725, 19218, 18, 478, 6161, 745, 6696, 1660, 17, 299, 9422, 16, 773, 1381, 12631, 17799, 910, 510, 22014, 16452, 5952, 18, 2046, 9770, 7586, 385, 897, 10706, 322, 12122, 576, 289, 1103, 45467, 281, 2725, 791, 536, 11389, 764, 309, 1272, 779, 18, 967, 803, 37519, 16452, 5952, 395, 651, 5880, 306, 28265, 1388, 272, 1624, 44771, 306, 42982, 3033, 1624, 6313, 12437, 15003, 2279, 272, 1624, 27423, 385, 31918, 825, 16, 8548, 1508, 6698, 21322, 272, 289, 4239, 6520, 39791, 329, 651, 3531, 11418, 322, 1978, 857, 18, 478, 677, 4101, 4701, 282, 478, 563, 455, 342, 464, 470, 2152, 7556, 16791, 467, 18, 11966, 16, 32131, 7969, 7193, 910, 510, 3153, 39791, 18, 29124, 16, 478, 563, 455, 10347, 910, 4419, 1783, 659, 1510, 12232, 2764, 309, 8460, 26911, 1081, 4999, 16, 3508, 26417, 18, 1937, 17, 299, 2452, 329, 12234, 718, 7586, 685, 12916, 282, 28604, 18, 385, 1110, 1326, 6295, 16, 6218, 16, 21183, 16, 2805, 282, 5968, 38484, 29873, 16, 515, 289, 281, 6376, 5368, 8533, 304, 12525, 48119, 269, 1162, 7193, 14830, 309, 7457, 18, 478, 563, 455, 10347, 910, 2091, 16, 322, 2250, 11827, 651, 49176, 1718, 2147, 282, 10717, 19205, 381, 803, 28269, 3789, 2548, 16, 515, 289, 16, 428, 7967, 16, 322, 1570, 2565, 18, 8276, 1011, 31776, 718, 21842, 16, 18100, 1421, 14248, 9410, 18, 7909, 651, 360, 478, 42652, 324, 470, 473, 20, 30, 21, 504, 934, 2512, 651, 360, 478, 1098, 3583, 470, 473, 21, 30, 26, 13, 289, 3210, 651, 360, 14118, 473, 21, 30, 24, 814, 403, 15695, 16, 282, 36798, 8267, 1904, 16480, 3720, 28265, 1388, 1624, 8851, 5222, 478, 306, 332, 512, 933, 470, 5514, 16, 32471, 1510, 1272, 473, 20, 15, 22, 13, 26654, 289, 16, 942, 2023, 16, 1480, 16807, 1779 ]
[ 31330, 2725, 19218, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 478, 13467, 470, 16480, 48372, 281, 478, 44897, 1683, 470, 473, 21, 30, 21, 13, 282, 4056, 9155, 37131, 455, 415, 4883, 293, 651, 14378, 1175, 334, 15749, 18, 824, 8954, 7977, 10078, 17, 46796, 1741, 282, 20545, 16, 2686, 11163, 5740, 8955, 18, 14427, 9680, 47431, 7974, 39390, 609, 1011, 4466, 322, 38678, 16, 374, 9416, 1390, 16511, 18, 31224, 30, 471, 13467, 470, 289, 478, 28516, 470, 29240, 48372, 282, 5572, 8267, 430, 19, 24, 21451, 415, 4883, 293, 651, 14378, 1175, 18, 14097, 7801, 309, 26225, 478, 27481, 2722, 1870, 798, 470, 289, 22588, 477, 12932, 430, 30, 21, 18, 2112, 21842, 39207, 10078, 17, 44606, 15080, 11015, 15690, 307, 29497, 29703, 7225, 21755, 289, 19230, 364, 11216, 282, 8999, 629, 44203, 13387, 24955, 287, 18, 2046, 6396, 1939, 1879, 653, 435, 43247, 282, 1360, 36725, 4369, 5740, 726, 42222, 478, 28345, 470, 510, 4137, 8450, 375, 18397, 33130, 309, 22447, 33239, 7408, 289, 3221, 4165, 2948, 18, 18983, 22490, 28929, 3882, 8981, 1734, 478, 27481, 2722, 439, 16946, 470, 1143, 1593, 322, 11152, 18, 403, 15695, 16, 282, 7426, 21273, 478, 13467, 470, 11321, 6281, 1188, 16222, 272, 11835, 9388, 1305, 18, 38422, 20620, 481, 428, 7571, 1518, 25467, 21285, 282, 16690, 16, 453, 289, 10346, 758, 43864, 18, 640, 9547, 281, 478, 44897, 1683, 470, 639, 45457, 1833, 1871, 41445, 17701, 651, 453, 403, 34649, 36226, 13619, 300, 478, 13467, 470, 349, 9704, 25467, 567, 808, 26034, 7977, 14378, 1279, 478, 45380, 861, 365, 9050, 281, 478, 44897, 1683, 470, 30719, 1223, 1472, 2364, 4256, 2634, 42519, 18, 1397, 5327, 8671, 18569, 16, 502, 492, 3118, 11218, 4053, 20531, 309, 19424, 2165, 18, 824, 3352, 21438, 5493, 16, 567, 808, 4466, 424, 24958, 1251, 1807, 42215, 478, 28345, 861, 629, 24504, 445, 17956, 651, 5815, 4966, 14179, 528, 8652, 3930, 18, 15556, 42519, 334, 17, 6093, 14868, 14086, 8475, 478, 265, 11899, 470, 411, 4966, 16, 785, 428, 1033, 3801, 274, 7468, 8933, 25467, 10078, 17, 44606, 3433, 16390, 4611, 322, 773, 1369, 307, 2712, 18, 3747, 290, 2456, 528, 8652, 3930, 263, 17, 32584, 16355, 843, 1329, 9014, 434, 2023, 1800, 2955, 18, 9689, 27758, 16, 11408, 16, 6274, 41701, 18, 740, 2702, 22898, 5040, 18569, 685, 282, 5329, 16, 367, 322, 687, 282, 17979, 40896, 18, 478, 13467, 470, 282, 803, 11258, 16, 9956, 334, 4547, 16, 44612, 8249, 309, 8955, 282, 36976, 2553, 16, 374, 3887, 862, 282, 26708, 19782, 7586, 37026, 727, 4156, 324, 1188, 2384, 1313, 18, 478, 677, 11671, 1045, 840, 2261, 986, 16, 428, 322, 14393, 1166, 40791, 18, 17878, 11782, 16, 374, 5352, 4271, 510, 1109, 492, 18, 740, 478, 28516, 470, 282, 6940, 445, 4167, 541, 10078, 17, 44606, 16160, 536, 7739, 2409, 18, 7106, 16, 374, 282, 12838, 978, 779, 352, 47064, 7474, 778, 3216, 29511, 8260, 50253, 47431, 309, 697, 4577, 282, 8267, 7561, 1175, 18, 640, 45546, 478, 1140, 11987, 470, 4137, 8450, 375, 322, 37726, 16, 374, 7193, 334, 17, 1259, 825, 9988, 477, 478, 13467, 304, 910, 2686, 8120, 9792, 5698, 874, 25349, 18, 478, 730, 1117, 16, 374, 17363, 1177, 774, 510, 16222, 18297, 451, 1574, 16, 7155, 18, 1345, 282, 5921, 409, 282, 6031, 281, 537, 19090, 6933, 18, 3739, 36871, 16, 374, 5590, 7199, 21833, 30, 18552, 309, 32689, 16, 367, 417, 17363, 18, 3261, 339, 520, 656, 374, 17, 299, 2174, 16, 428, 773, 322, 11932, 319, 35, 981, 16, 515, 322, 8188, 16, 374, 1717, 18, 6351, 840, 8120, 910, 510, 4848, 24026, 18, 13057, 322, 8097, 16, 374, 478, 13467, 470, 4223, 309, 5199, 14340, 32387, 18, 832, 5121, 282, 1576, 582, 10078, 17, 44606, 687, 27273, 718, 442, 1083, 34126, 34733, 660, 18, 824, 3163, 8300, 17799, 4966, 19243, 39390, 609, 367, 16, 492, 23140, 3860, 477, 25517, 16, 961, 16, 428, 5121, 16, 14440, 18, 478, 1140, 1047, 7634, 5596, 29557, 510, 846, 9197, 18, 34231, 16, 374, 26270, 12546, 18, 2667, 978, 492, 11347, 281, 1574, 575, 3571, 3851, 16, 515, 309, 38330, 1408, 510, 3716, 4101, 13591, 18, 3397, 5678, 40186, 1981, 16, 13029, 1979, 18, 36450, 14963, 3003, 16, 475, 5917, 360, 697, 10346, 416, 10874, 18, 19876, 6106, 510, 4960, 1943, 17884, 36392, 18, 19613, 50137, 411, 978, 910, 510, 2815, 39390, 609, 18, 640, 566, 742, 10078, 17, 44606, 322, 38678, 16, 374, 9416, 1390, 5138, 304, 7977, 18, 3510, 1642, 16, 334, 505, 4734, 16, 1513, 1494, 12571, 1291, 18, 478, 677, 5329, 24724, 329, 813, 45265, 18, 999, 2992, 44368, 417, 29608, 12032, 18, 740, 6441, 16, 475, 13173, 16, 7242, 2234, 18, 365, 39566, 8267, 1513, 639, 14393, 874, 16, 481, 475, 13173, 18, 740, 912, 16171, 567, 7422, 8267, 18, 3647, 827, 373, 40900, 18, 19613, 49175, 4378, 13440, 282, 23708, 300, 282, 29375, 910, 510, 5692, 39390, 609, 309, 4398, 17033, 29049, 3781, 17, 19858, 18, 33424, 49812, 478, 1140, 11987, 470, 22605, 504, 931, 41334, 420, 3973, 16, 374, 478, 13467, 470, 5702, 5564, 536, 7739, 2409, 935, 1655, 16, 785, 23140, 3860, 18, 478, 13467, 470, 35369, 16, 4813, 309, 13514, 957, 1800, 18, 3739, 2693, 519, 1078, 416, 4466, 16, 289, 895, 18520, 475, 16, 374, 6922, 910, 510, 2815, 47922, 18, 2046, 22294, 4830, 478, 1140, 11987, 470, 3720, 457, 14348, 4083, 475, 575, 4725, 14887, 20421, 282, 9547, 10078, 17, 44606, 18, 478, 13467, 470, 282, 1360, 9547, 685, 939, 2149, 4196, 451, 16, 367, 1215, 281, 478, 44897, 1683, 470, 334, 17, 15253, 30, 2438, 4750, 16, 374, 745, 6696, 282, 25152, 289, 282, 31277, 910, 510, 2815, 457, 14348, 4083, 18, 8353, 451, 10133, 478, 13467, 470, 289, 478, 28516, 470, 6280, 467, 726, 282, 11671, 1045, 18, 18206, 6517, 6521, 309, 3436, 3750, 289, 2879, 6886, 282, 29375, 16, 2686, 14517, 1500, 5809, 16, 374, 282, 481, 808, 17395, 309, 49442, 322, 2410, 10883, 324, 541, 18569, 16, 2117, 895, 289, 322, 34065, 18, 10110, 352, 47064, 7474, 718, 7586, 18223, 4845, 322, 33201, 10049, 3281, 6059, 18, 478, 18229, 16, 329, 813, 912, 25326, 334, 5083, 5743, 1078, 434, 7977, 282, 29375, 18, 17369, 24768, 910, 510, 15875, 10044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31330, 2725, 19218, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 778, 478, 13467, 470, 16480, 48372, 281, 478, 44897, 1683, 470, 473, 21, 30, 21, 13, 282, 4056, 9155, 37131, 455, 415, 4883, 293, 651, 14378, 1175, 334, 15749, 18, 824, 8954, 7977, 10078, 17, 46796, 1741, 282, 20545, 16, 2686, 11163, 5740, 8955, 18, 14427, 9680, 47431, 7974, 39390, 609, 1011, 4466, 322, 38678, 16, 374, 9416, 1390, 16511, 18, 31224, 30, 471, 13467, 470, 289, 478, 28516, 470, 29240, 48372, 282, 5572, 8267, 430, 19, 24, 21451, 415, 4883, 293, 651, 14378, 1175, 18, 14097, 7801, 309, 26225, 478, 27481, 2722, 1870, 798, 470, 289, 22588, 477, 12932, 430, 30, 21, 18, 2112, 21842, 39207, 10078, 17, 44606, 15080, 11015, 15690, 307, 29497, 29703, 7225, 21755, 289, 19230, 364, 11216, 282, 8999, 629, 44203, 13387, 24955, 287, 18, 2046, 6396, 1939, 1879, 653, 435, 43247, 282, 1360, 36725, 4369, 5740, 726, 42222, 478, 28345, 470, 510, 4137, 8450, 375, 18397, 33130, 309, 22447, 33239, 7408, 289, 3221, 4165, 2948, 18, 18983, 22490, 28929, 3882, 8981, 1734, 478, 27481, 2722, 439, 16946, 470, 1143, 1593, 322, 11152, 18, 403, 15695, 16, 282, 7426, 21273, 478, 13467, 470, 11321, 6281, 1188, 16222, 272, 11835, 9388, 1305, 18, 38422, 20620, 481, 428, 7571, 1518, 25467, 21285, 282, 16690, 16, 453, 289, 10346, 758, 43864, 18, 640, 9547, 281, 478, 44897, 1683, 470, 639, 45457, 1833, 1871, 41445, 17701, 651, 453, 403, 34649, 36226, 13619, 300, 478, 13467, 470, 349, 9704, 25467, 567, 808, 26034, 7977, 14378, 1279, 478, 45380, 861, 365, 9050, 281, 478, 44897, 1683, 470, 30719, 1223, 1472, 2364, 4256, 2634, 42519, 18, 1397, 5327, 8671, 18569, 16, 502, 492, 3118, 11218, 4053, 20531, 309, 19424, 2165, 18, 824, 3352, 21438, 5493, 16, 567, 808, 4466, 424, 24958, 1251, 1807, 42215, 478, 28345, 861, 629, 24504, 445, 17956, 651, 5815, 4966, 14179, 528, 8652, 3930, 18, 15556, 42519, 334, 17, 6093, 14868, 14086, 8475, 478, 265, 11899, 470, 411, 4966, 16, 785, 428, 1033, 3801, 274, 7468, 8933, 25467, 10078, 17, 44606, 3433, 16390, 4611, 322, 773, 1369, 307, 2712, 18, 3747, 290, 2456, 528, 8652, 3930, 263, 17, 32584, 16355, 843, 1329, 9014, 434, 2023, 1800, 2955, 18, 9689, 27758, 16, 11408, 16, 6274, 41701, 18, 740, 2702, 22898, 5040, 18569, 685, 282, 5329, 16, 367, 322, 687, 282, 17979, 40896, 18, 478, 13467, 470, 282, 803, 11258, 16, 9956, 334, 4547, 16, 44612, 8249, 309, 8955, 282, 36976, 2553, 16, 374, 3887, 862, 282, 26708, 19782, 7586, 37026, 727, 4156, 324, 1188, 2384, 1313, 18, 478, 677, 11671, 1045, 840, 2261, 986, 16, 428, 322, 14393, 1166, 40791, 18, 17878, 11782, 16, 374, 5352, 4271, 510, 1109, 492, 18, 740, 478, 28516, 470, 282, 6940, 445, 4167, 541, 10078, 17, 44606, 16160, 536, 7739, 2409, 18, 7106, 16, 374, 282, 12838, 978, 779, 352, 47064, 7474, 778, 3216, 29511, 8260, 50253, 47431, 309, 697, 4577, 282, 8267, 7561, 1175, 18, 640, 45546, 478, 1140, 11987, 470, 4137, 8450, 375, 322, 37726, 16, 374, 7193, 334, 17, 1259, 825, 9988, 477, 478, 13467, 304, 910, 2686, 8120, 9792, 5698, 874, 25349, 18, 478, 730, 1117, 16, 374, 17363, 1177, 774, 510, 16222, 18297, 451, 1574, 16, 7155, 18, 1345, 282, 5921, 409, 282, 6031, 281, 537, 19090, 6933, 18, 3739, 36871, 16, 374, 5590, 7199, 21833, 30, 18552, 309, 32689, 16, 367, 417, 17363, 18, 3261, 339, 520, 656, 374, 17, 299, 2174, 16, 428, 773, 322, 11932, 319, 35, 981, 16, 515, 322, 8188, 16, 374, 1717, 18, 6351, 840, 8120, 910, 510, 4848, 24026, 18, 13057, 322, 8097, 16, 374, 478, 13467, 470, 4223, 309, 5199, 14340, 32387, 18, 832, 5121, 282, 1576, 582, 10078, 17, 44606, 687, 27273, 718, 442, 1083, 34126, 34733, 660, 18, 824, 3163, 8300, 17799, 4966, 19243, 39390, 609, 367, 16, 492, 23140, 3860, 477, 25517, 16, 961, 16, 428, 5121, 16, 14440, 18, 478, 1140, 1047, 7634, 5596, 29557, 510, 846, 9197, 18, 34231, 16, 374, 26270, 12546, 18, 2667, 978, 492, 11347, 281, 1574, 575, 3571, 3851, 16, 515, 309, 38330, 1408, 510, 3716, 4101, 13591, 18, 3397, 5678, 40186, 1981, 16, 13029, 1979, 18, 36450, 14963, 3003, 16, 475, 5917, 360, 697, 10346, 416, 10874, 18, 19876, 6106, 510, 4960, 1943, 17884, 36392, 18, 19613, 50137, 411, 978, 910, 510, 2815, 39390, 609, 18, 640, 566, 742, 10078, 17, 44606, 322, 38678, 16, 374, 9416, 1390, 5138, 304, 7977, 18, 3510, 1642, 16, 334, 505, 4734, 16, 1513, 1494, 12571, 1291, 18, 478, 677, 5329, 24724, 329, 813, 45265, 18, 999, 2992, 44368, 417, 29608, 12032, 18, 740, 6441, 16, 475, 13173, 16, 7242, 2234, 18, 365, 39566, 8267, 1513, 639, 14393, 874, 16, 481, 475, 13173, 18, 740, 912, 16171, 567, 7422, 8267, 18, 3647, 827, 373, 40900, 18, 19613, 49175, 4378, 13440, 282, 23708, 300, 282, 29375, 910, 510, 5692, 39390, 609, 309, 4398, 17033, 29049, 3781, 17, 19858, 18, 33424, 49812, 478, 1140, 11987, 470, 22605, 504, 931, 41334, 420, 3973, 16, 374, 478, 13467, 470, 5702, 5564, 536, 7739, 2409, 935, 1655, 16, 785, 23140, 3860, 18, 478, 13467, 470, 35369, 16, 4813, 309, 13514, 957, 1800, 18, 3739, 2693, 519, 1078, 416, 4466, 16, 289, 895, 18520, 475, 16, 374, 6922, 910, 510, 2815, 47922, 18, 2046, 22294, 4830, 478, 1140, 11987, 470, 3720, 457, 14348, 4083, 475, 575, 4725, 14887, 20421, 282, 9547, 10078, 17, 44606, 18, 478, 13467, 470, 282, 1360, 9547, 685, 939, 2149, 4196, 451, 16, 367, 1215, 281, 478, 44897, 1683, 470, 334, 17, 15253, 30, 2438, 4750, 16, 374, 745, 6696, 282, 25152, 289, 282, 31277, 910, 510, 2815, 457, 14348, 4083, 18, 8353, 451, 10133, 478, 13467, 470, 289, 478, 28516, 470, 6280, 467, 726, 282, 11671, 1045, 18, 18206, 6517, 6521, 309, 3436, 3750, 289, 2879, 6886, 282, 29375, 16, 2686, 14517, 1500, 5809, 16, 374, 282, 481, 808, 17395, 309, 49442, 322, 2410, 10883, 324, 541, 18569, 16, 2117, 895, 289, 322, 34065, 18, 10110, 352, 47064, 7474, 718, 7586, 18223, 4845, 322, 33201, 10049, 3281, 6059, 18, 478, 18229, 16, 329, 813, 912, 25326, 334, 5083, 5743, 1078, 434, 7977, 282, 29375, 18, 17369, 24768, 910, 510, 15875, 10044 ]
[ 665, 8818, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 309, 7759, 7561, 1175, 334, 15749, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 282, 15301, 32093, 7622, 6818, 19048, 290, 46223, 309, 25033, 1776, 285, 713, 282, 17374, 16727, 18, 365, 1750, 8434, 28349, 4199, 304, 4551, 289, 12984, 3814, 1086, 30306, 670, 1776, 16630, 282, 13942, 27201, 434, 1642, 942, 840, 687, 1011, 22207, 505, 282, 4117, 364, 323, 10575, 18, 27370, 9280, 17884, 1279, 16, 515, 21084, 2567, 6582, 1568, 687, 309, 2507, 18, 31224, 30, 17394, 3252, 548, 16934, 282, 15301, 3556, 15016, 32093, 7650, 4871, 5738, 16, 10663, 10977, 13547, 309, 25033, 1776, 285, 555, 670, 18887, 282, 39133, 46697, 6582, 16, 827, 518, 322, 14927, 1007, 282, 4117, 364, 839, 289, 322, 3814, 6225, 43837, 2175, 18, 5161, 16, 2388, 7775, 2125, 953, 44848, 13050, 41628, 17214, 553, 25574, 16, 13409, 45834, 416, 3623, 16, 8555, 416, 22791, 18341, 16, 7256, 36132, 541, 13595, 309, 27315, 4135, 289, 17197, 12385, 16, 367, 1038, 1514, 17909, 541, 34774, 289, 18632, 416, 26295, 25574, 18, 478, 35485, 10093, 1776, 285, 713, 282, 17374, 25441, 322, 24259, 24075, 16, 322, 23936, 8394, 16, 289, 2510, 5394, 13295, 1519, 2089, 6730, 3716, 4385, 16, 1548, 374, 11246, 282, 3942, 647, 11027, 2955, 16, 481, 12128, 9383, 9427, 16, 289, 34846, 722, 2955, 910, 510, 27250, 309, 5192, 441, 547, 11073, 10064, 43579, 8624, 15719, 434, 7920, 334, 14601, 416, 12384, 289, 40134, 17, 39698, 9885, 45085, 26227, 768, 11646, 1162, 18, 824, 3163, 20691, 15803, 459, 2603, 324, 16, 481, 322, 1568, 1279, 1776, 285, 713, 18, 1606, 16, 45670, 11309, 16, 13649, 16, 28791, 541, 3281, 13923, 22173, 18, 9098, 3674, 15429, 289, 2915, 1747, 1283, 1954, 16, 687, 282, 4117, 364, 770, 25441, 18, 478, 8244, 6535, 282, 17374, 16727, 16, 282, 3198, 5098, 7935, 36163, 282, 15167, 7363, 4009, 276, 16, 367, 2419, 1642, 510, 282, 4009, 276, 2972, 448, 18, 1860, 5022, 40478, 4857, 34196, 18, 459, 1749, 5773, 30330, 13731, 360, 4000, 6198, 697, 835, 18, 1178, 11027, 3942, 647, 510, 2650, 4410, 289, 8425, 541, 12712, 16, 367, 322, 541, 18887, 16, 11995, 670, 16, 11271, 16, 48642, 39591, 910, 510, 1109, 492, 282, 20175, 281, 17604, 496, 478, 32485, 18, 8381, 861, 459, 2603, 268, 1038, 3973, 16, 374, 1314, 22362, 12356, 40367, 17868, 541, 7811, 281, 45223, 2068, 2610, 18, 478, 730, 363, 1674, 784, 33129, 281, 27031, 22543, 294, 2733, 1776, 285, 388, 14958, 289, 20982, 13864, 697, 17767, 18, 740, 411, 21539, 17967, 898, 687, 23500, 282, 35045, 22813, 289, 15802, 825, 309, 24173, 13768, 8739, 910, 376, 5692, 11309, 18, 4338, 36435, 335, 451, 31427, 2407, 10986, 17728, 13228, 16, 785, 942, 18484, 8094, 282, 4117, 364, 647, 11027, 16, 785, 510, 2955, 18, 478, 13931, 833, 7428, 282, 27201, 547, 4122, 282, 4117, 364, 647, 11027, 24755, 687, 282, 6160, 16, 827, 3433, 17364, 18383, 309, 5572, 12444, 39715, 1642, 670, 3230, 4183, 16140, 16, 515, 7775, 16, 28366, 8671, 424, 2758, 932, 16, 4747, 8809, 282, 4117, 364, 647, 11027, 16, 322, 3929, 3942, 2435, 910, 510, 41988, 30599, 478, 12145, 356, 29929, 289, 29591, 470, 3026, 604, 421, 2346, 18, 26439, 282, 4117, 364, 647, 11027, 322, 24755, 16, 827, 17364, 8425, 541, 19005, 18395, 48465, 16, 1003, 22551, 3775, 3814, 1086, 21525, 2789, 360, 17374, 14031, 16, 3164, 282, 15499, 547, 4122, 16, 912, 42423, 468, 670, 334, 17188, 1888, 4284, 18, 640, 11204, 7155, 16, 827, 18484, 282, 4117, 364, 647, 11027, 942, 687, 7428, 16, 28366, 309, 5606, 1542, 13001, 46697, 6582, 16, 502, 541, 1776, 285, 713, 16, 961, 13054, 15904, 309, 1888, 1542, 13001, 16, 481, 6411, 2988, 34973, 16, 2988, 40679, 3416, 18, 478, 18229, 16, 481, 810, 426, 1349, 12232, 33900, 541, 21089, 978, 7321, 18, 1397, 5327, 22207, 16, 502, 322, 475, 453, 1139, 510, 481, 3215, 8738, 289, 24664, 4126, 16, 1029, 895, 1669, 3124, 289, 13591, 16, 289, 1205, 473, 10767, 912, 2710, 17, 3697, 26993, 16, 961, 1513, 5204, 2795, 814, 40238, 32829, 289, 519, 24617, 7649, 13816, 16, 827, 387, 17647, 3003, 381, 37003, 282, 18554, 18, 365, 5329, 16, 5836, 6353, 14482, 10329, 5998, 1776, 285, 713, 910, 510, 9848, 30599, 2241, 951, 15856, 21909, 1149, 26299, 4137, 1034, 455, 512, 18, 26439, 7428, 282, 4117, 364, 647, 11027, 895, 13898, 2364, 48578, 477, 5022, 23658, 3746, 16, 11661, 30599, 478, 12145, 356, 29929, 289, 29591, 861, 967, 803, 3017, 3453, 7233, 6196, 16, 3057, 16, 282, 3507, 16, 4896, 322, 1033, 11281, 7898, 2868, 18, 8615, 19015, 7043, 15833, 16, 374, 6134, 1574, 12755, 895, 31062, 6149, 360, 23256, 2634, 2791, 289, 3230, 18, 365, 17013, 1212, 11681, 409, 31163, 315, 16, 374, 36856, 7775, 27234, 6836, 541, 18395, 2954, 16, 13772, 360, 924, 16, 1623, 2174, 36722, 2252, 536, 670, 27972, 16, 367, 505, 8225, 541, 18533, 17686, 670, 36252, 44694, 3416, 24755, 16, 827, 481, 322, 27809, 3018, 289, 1568, 448, 10855, 1888, 2954, 289, 4310, 13979, 18, 4530, 867, 16, 4211, 294, 11755, 508, 552, 282, 5344, 14942, 330, 4893, 23379, 18, 824, 3163, 4211, 17, 304, 13027, 267, 4111, 18505, 35981, 401, 16, 1800, 282, 5781, 15209, 360, 1939, 9, 519, 4317, 9, 4446, 28590, 7321, 14872, 1717, 478, 14375, 839, 470, 6101, 510, 1776, 285, 8029, 18, 1606, 15904, 14612, 282, 17374, 25441, 16, 367, 322, 38977, 4446, 24620, 6359, 292, 18, 478, 3743, 1717, 1177, 478, 14375, 879, 470, 21803, 15349, 46339, 282, 4446, 45526, 25858, 16, 48040, 16356, 289, 21487, 1613, 20614, 18, 459, 5695, 3772, 668, 2678, 18395, 541, 11854, 289, 11137, 32998, 12991, 910, 510, 1109, 4419, 457, 7219, 18, 19112, 5210, 1698, 31134, 1777, 506, 309, 14496, 5395, 5814, 16, 5273, 9541, 17, 22079, 4551, 8453, 2632, 289, 19390, 2477, 14153, 14809, 1015, 18, 824, 505, 3163, 16, 7081, 1223, 5582, 1829, 5579, 17, 9400, 16, 988, 13768, 18887, 289, 1776, 285, 8029, 21860, 2555, 9, 7043, 18, 6331, 310, 1250, 575, 322, 1279, 9713, 16, 14517, 16, 374, 827, 282, 4122, 912, 1776, 16630, 16, 502, 17364, 20489, 282, 10811, 1939, 17, 4691, 5999, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 665, 8818, 18, 22405, 281, 4778, 13280, 16, 16264, 289, 19460, 387, 2890, 309, 7759, 7561, 1175, 334, 15749, 1624, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 282, 15301, 32093, 7622, 6818, 19048, 290, 46223, 309, 25033, 1776, 285, 713, 282, 17374, 16727, 18, 365, 1750, 8434, 28349, 4199, 304, 4551, 289, 12984, 3814, 1086, 30306, 670, 1776, 16630, 282, 13942, 27201, 434, 1642, 942, 840, 687, 1011, 22207, 505, 282, 4117, 364, 323, 10575, 18, 27370, 9280, 17884, 1279, 16, 515, 21084, 2567, 6582, 1568, 687, 309, 2507, 18, 31224, 30, 17394, 3252, 548, 16934, 282, 15301, 3556, 15016, 32093, 7650, 4871, 5738, 16, 10663, 10977, 13547, 309, 25033, 1776, 285, 555, 670, 18887, 282, 39133, 46697, 6582, 16, 827, 518, 322, 14927, 1007, 282, 4117, 364, 839, 289, 322, 3814, 6225, 43837, 2175, 18, 5161, 16, 2388, 7775, 2125, 953, 44848, 13050, 41628, 17214, 553, 25574, 16, 13409, 45834, 416, 3623, 16, 8555, 416, 22791, 18341, 16, 7256, 36132, 541, 13595, 309, 27315, 4135, 289, 17197, 12385, 16, 367, 1038, 1514, 17909, 541, 34774, 289, 18632, 416, 26295, 25574, 18, 478, 35485, 10093, 1776, 285, 713, 282, 17374, 25441, 322, 24259, 24075, 16, 322, 23936, 8394, 16, 289, 2510, 5394, 13295, 1519, 2089, 6730, 3716, 4385, 16, 1548, 374, 11246, 282, 3942, 647, 11027, 2955, 16, 481, 12128, 9383, 9427, 16, 289, 34846, 722, 2955, 910, 510, 27250, 309, 5192, 441, 547, 11073, 10064, 43579, 8624, 15719, 434, 7920, 334, 14601, 416, 12384, 289, 40134, 17, 39698, 9885, 45085, 26227, 768, 11646, 1162, 18, 824, 3163, 20691, 15803, 459, 2603, 324, 16, 481, 322, 1568, 1279, 1776, 285, 713, 18, 1606, 16, 45670, 11309, 16, 13649, 16, 28791, 541, 3281, 13923, 22173, 18, 9098, 3674, 15429, 289, 2915, 1747, 1283, 1954, 16, 687, 282, 4117, 364, 770, 25441, 18, 478, 8244, 6535, 282, 17374, 16727, 16, 282, 3198, 5098, 7935, 36163, 282, 15167, 7363, 4009, 276, 16, 367, 2419, 1642, 510, 282, 4009, 276, 2972, 448, 18, 1860, 5022, 40478, 4857, 34196, 18, 459, 1749, 5773, 30330, 13731, 360, 4000, 6198, 697, 835, 18, 1178, 11027, 3942, 647, 510, 2650, 4410, 289, 8425, 541, 12712, 16, 367, 322, 541, 18887, 16, 11995, 670, 16, 11271, 16, 48642, 39591, 910, 510, 1109, 492, 282, 20175, 281, 17604, 496, 478, 32485, 18, 8381, 861, 459, 2603, 268, 1038, 3973, 16, 374, 1314, 22362, 12356, 40367, 17868, 541, 7811, 281, 45223, 2068, 2610, 18, 478, 730, 363, 1674, 784, 33129, 281, 27031, 22543, 294, 2733, 1776, 285, 388, 14958, 289, 20982, 13864, 697, 17767, 18, 740, 411, 21539, 17967, 898, 687, 23500, 282, 35045, 22813, 289, 15802, 825, 309, 24173, 13768, 8739, 910, 376, 5692, 11309, 18, 4338, 36435, 335, 451, 31427, 2407, 10986, 17728, 13228, 16, 785, 942, 18484, 8094, 282, 4117, 364, 647, 11027, 16, 785, 510, 2955, 18, 478, 13931, 833, 7428, 282, 27201, 547, 4122, 282, 4117, 364, 647, 11027, 24755, 687, 282, 6160, 16, 827, 3433, 17364, 18383, 309, 5572, 12444, 39715, 1642, 670, 3230, 4183, 16140, 16, 515, 7775, 16, 28366, 8671, 424, 2758, 932, 16, 4747, 8809, 282, 4117, 364, 647, 11027, 16, 322, 3929, 3942, 2435, 910, 510, 41988, 30599, 478, 12145, 356, 29929, 289, 29591, 470, 3026, 604, 421, 2346, 18, 26439, 282, 4117, 364, 647, 11027, 322, 24755, 16, 827, 17364, 8425, 541, 19005, 18395, 48465, 16, 1003, 22551, 3775, 3814, 1086, 21525, 2789, 360, 17374, 14031, 16, 3164, 282, 15499, 547, 4122, 16, 912, 42423, 468, 670, 334, 17188, 1888, 4284, 18, 640, 11204, 7155, 16, 827, 18484, 282, 4117, 364, 647, 11027, 942, 687, 7428, 16, 28366, 309, 5606, 1542, 13001, 46697, 6582, 16, 502, 541, 1776, 285, 713, 16, 961, 13054, 15904, 309, 1888, 1542, 13001, 16, 481, 6411, 2988, 34973, 16, 2988, 40679, 3416, 18, 478, 18229, 16, 481, 810, 426, 1349, 12232, 33900, 541, 21089, 978, 7321, 18, 1397, 5327, 22207, 16, 502, 322, 475, 453, 1139, 510, 481, 3215, 8738, 289, 24664, 4126, 16, 1029, 895, 1669, 3124, 289, 13591, 16, 289, 1205, 473, 10767, 912, 2710, 17, 3697, 26993, 16, 961, 1513, 5204, 2795, 814, 40238, 32829, 289, 519, 24617, 7649, 13816, 16, 827, 387, 17647, 3003, 381, 37003, 282, 18554, 18, 365, 5329, 16, 5836, 6353, 14482, 10329, 5998, 1776, 285, 713, 910, 510, 9848, 30599, 2241, 951, 15856, 21909, 1149, 26299, 4137, 1034, 455, 512, 18, 26439, 7428, 282, 4117, 364, 647, 11027, 895, 13898, 2364, 48578, 477, 5022, 23658, 3746, 16, 11661, 30599, 478, 12145, 356, 29929, 289, 29591, 861, 967, 803, 3017, 3453, 7233, 6196, 16, 3057, 16, 282, 3507, 16, 4896, 322, 1033, 11281, 7898, 2868, 18, 8615, 19015, 7043, 15833, 16, 374, 6134, 1574, 12755, 895, 31062, 6149, 360, 23256, 2634, 2791, 289, 3230, 18, 365, 17013, 1212, 11681, 409, 31163, 315, 16, 374, 36856, 7775, 27234, 6836, 541, 18395, 2954, 16, 13772, 360, 924, 16, 1623, 2174, 36722, 2252, 536, 670, 27972, 16, 367, 505, 8225, 541, 18533, 17686, 670, 36252, 44694, 3416, 24755, 16, 827, 481, 322, 27809, 3018, 289, 1568, 448, 10855, 1888, 2954, 289, 4310, 13979, 18, 4530, 867, 16, 4211, 294, 11755, 508, 552, 282, 5344, 14942, 330, 4893, 23379, 18, 824, 3163, 4211, 17, 304, 13027, 267, 4111, 18505, 35981, 401, 16, 1800, 282, 5781, 15209, 360, 1939, 9, 519, 4317, 9, 4446, 28590, 7321, 14872, 1717, 478, 14375, 839, 470, 6101, 510, 1776, 285, 8029, 18, 1606, 15904, 14612, 282, 17374, 25441, 16, 367, 322, 38977, 4446, 24620, 6359, 292, 18, 478, 3743, 1717, 1177, 478, 14375, 879, 470, 21803, 15349, 46339, 282, 4446, 45526, 25858, 16, 48040, 16356, 289, 21487, 1613, 20614, 18, 459, 5695, 3772, 668, 2678, 18395, 541, 11854, 289, 11137, 32998, 12991, 910, 510, 1109, 4419, 457, 7219, 18, 19112, 5210, 1698, 31134, 1777, 506, 309, 14496, 5395, 5814, 16, 5273, 9541, 17, 22079, 4551, 8453, 2632, 289, 19390, 2477, 14153, 14809, 1015, 18, 824, 505, 3163, 16, 7081, 1223, 5582, 1829, 5579, 17, 9400, 16, 988, 13768, 18887, 289, 1776, 285, 8029, 21860, 2555, 9, 7043, 18, 6331, 310, 1250, 575, 322, 1279, 9713, 16, 14517, 16, 374, 827, 282, 4122, 912, 1776, 16630, 16, 502, 17364, 20489, 282, 10811, 1939, 17, 4691, 5999, 2, 1 ]