benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 250, 15352, 30054, 8, 14899, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 38668, 3038, 6, 21072, 6, 32017, 6, 3459, 8669, 6, 8, 9590, 4, 85, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 163, 538, 19, 10, 33215, 16739, 9, 163, 8, 274, 10431, 4, 20, 1349, 7630, 6568, 10, 2365, 8, 20425, 16464, 6, 442, 24, 10686, 13, 3618, 930, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 52365, 55916, 52365, 65533, 52365, 61732, 52365, 53109, 52365, 60417, 52365, 52641, 50801, 50950, 73980, 53376, 50608, 55578, 51123, 51532, 51464, 55710, 52786, 61452, 53740, 51123, 51361, 55710, 61452, 51123, 51556, 55710, 61452, 51123, 51658, 50950, 73980, 53376, 50608, 55578, 51123, 51572, 55710, 61452, 60466, 55842, 50854, 73980, 61452, 51123, 51618, 55710, 61452, 59038, 50801, 50950, 73980, 53376, 50608, 61452, 51123, 51647, 55710, 61452, 60004, 50903, 50833, 73980, 61452, 51123, 51621, 55710, 61452, 51123, 51755, 56429, 50971, 73980, 53376, 50608, 62483, 51123, 51402, 55710, 61452, 59895, 55842, 55742, 50971, 73980, 78830, 63172, 62791, 50816, 50971, 73980, 61452, 57252, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 57959, 50903, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 51658, 56429, 50971, 73980, 53376, 50608, 55237, 51123, 53525, 50971, 73980, 61452, 60466, 55842, 55742, 50971, 73980, 61452, 51123, 51618, 55710, 61452, 59038, 50801, 50950, 73980, 53376, 50608, 57427, 51123, 51647, 66260, 57649, 61452, 60004, 50903, 50833, 73980, 61452, 51123, 50458, 54535, 50930, 53206, 50971, 51715, 51826, 57649, 61452, 51123, 50460, 53346, 60634, 53210, 51227, 51755, 56429, 50971, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 62999, 50971, 73980, 61452, 59895, 55842, 55742, 50971, 73980, 78830, 56320, 62791, 54642, 53412, 50971, 73980, 61452, 51123, 50424, 53915, 61953, 53424, 63398, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 57959, 50903, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 51658, 56429, 50971, 73980, 53376, 50608, 55237, 51123, 51572, 55710, 61452, 60466, 55842, 50854, 54642, 50923, 73980, 61452, 51123, 51618, 55710, 61452, 59038, 55883, 51013, 52705, 51106, 50971, 73980, 53376, 50608, 62483, 51123, 54706, 50971, 73980, 61452, 60004, 50903, 55579, 50971, 73980, 61452, 51123, 53206, 50971, 73980, 61452, 51123, 50799, 53424, 50806, 52705, 51106, 50971, 73980, 53376, 50608, 62483, 51123, 62999, 50971, 73980, 61452, 59895, 55842, 50854, 55883, 54898, 50971, 73980, 78830, 64274, 51123, 50422, 53424, 54381, 50816, 50971, 73980, 61452, 51123, 50425, 53915, 52369, 50426, 52705, 51106, 50971, 73980, 53376, 50608, 62483, 51123, 67654, 50971, 73980, 61452, 57959, 50903, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 51658, 56429, 50971, 73980, 53376, 50608, 57427, 51123, 53525, 50971, 73980, 61452, 60466, 55842, 55742, 50971, 73980, 61452, 51123, 60309, 50971, 73980, 61452, 59038, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 51647, 66260, 57649, 61452, 60004, 50903, 50833, 73980, 61452, 51123, 51621, 66260, 57649, 61452, 51123, 50461, 54642, 51286, 51755, 50950, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 51402, 55710, 61452, 59895, 55842, 50854, 53915, 50962, 73980, 78830, 63172, 51123, 50422, 54642, 52801, 50816, 50971, 73980, 61452, 51123, 50425, 53210, 58595, 52705, 51106, 50971, 73980, 78830, 52346, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 51123, 50431, 61356, 52265, 51547, 50887, 51590, 50890, 52031, 69573, 55579, 50971, 73980, 61452, 63801, 61356, 52050, 50971, 73980, 61452, 58604, 61356, 54279, 56701, 55182, 50971, 73980, 53376, 50608, 57427, 51123, 50441, 61356, 54192, 50971, 73980, 61452, 60466, 51547, 50836, 51590, 50880, 52031, 50890, 61356, 50817, 55842, 55742, 50971, 73980, 61452, 65650, 61356, 52050, 50971, 73980, 61452, 59038, 50725, 50310, 56545, 56429, 50971, 73980, 53376, 50608, 57427, 79519, 61356, 52409, 50971, 73980, 61452, 60004, 51547, 50862, 51590, 50890, 52031, 71074, 55579, 50971, 73980, 61452, 72037, 61356, 52050, 50971, 73980, 61452, 51123, 50799, 61356, 53432, 56701, 55182, 50971, 73980, 53376, 50608, 57427, 51123, 50417, 61356, 54192, 50971, 73980, 61452, 59895, 51547, 50862, 51590, 50887, 52031, 50887, 61356, 50949, 55842, 55742, 50971, 73980, 78830, 56320, 62791, 61356, 52050, 50971, 73980, 61452, 57252, 61356, 53432, 56429, 50971, 73980, 78830, 52346, 50608, 57427, 67836, 61356, 52050, 50971, 73980, 61452, 57959, 51547, 50836, 51590, 50880, 52031, 67344, 55579, 50971, 73980, 61452, 63801, 61356, 50898, 55710, 61452, 58604, 61356, 53432, 56701, 50844, 73980, 53376, 50608, 57427, 51123, 50441, 61356, 50898, 55710, 61452, 60466, 51547, 50840, 51590, 50930, 52031, 50887, 61356, 50961, 55842, 50854, 73980, 61452, 65650, 61356, 50898, 55710, 61452, 59038, 62699, 51496, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 54706, 50971, 51715, 51826, 57649, 61452, 60004, 51547, 50862, 51590, 50880, 52031, 67344, 55579, 50971, 73980, 61452, 51123, 53206, 50971, 51715, 51826, 57649, 61452, 51123, 51755, 56701, 55182, 50971, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 62999, 50971, 73980, 61452, 59895, 51547, 50840, 51590, 50880, 52031, 50890, 55842, 55742, 50971, 73980, 78830, 64274, 62791, 50816, 50971, 73980, 61452, 57252, 52705, 51106, 50971, 73980, 78830, 52346, 50608, 55578, 67836, 61356, 55720, 57162, 51464, 55710, 52786, 61452, 53740, 57959, 51366, 50890, 51674, 50930, 51590, 67854, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 50437, 61356, 72064, 56701, 55182, 50971, 73980, 53376, 50608, 55578, 51123, 53525, 50971, 73980, 61452, 51123, 50443, 61356, 56059, 51366, 50887, 51674, 50962, 51934, 50811, 55842, 55742, 50971, 73980, 61452, 51123, 60309, 50971, 73980, 61452, 51123, 50449, 61453, 54554, 52705, 51106, 50971, 73980, 53376, 50608, 61452, 51123, 54706, 50971, 73980, 61452, 60004, 51547, 50880, 51408, 50887, 51934, 50930, 61356, 51021, 50903, 55579, 50971, 73980, 61452, 51123, 53206, 50971, 73980, 61452, 51123, 50799, 68612, 50860, 52705, 51002, 55182, 50971, 73980, 53376, 50608, 62483, 51123, 62999, 50971, 73980, 61452, 59895, 51547, 50890, 51408, 50811, 51934, 50930, 61453, 51021, 55842, 55742, 50971, 73980, 78830, 63172, 62791, 50816, 50971, 73980, 61452, 57252, 61356, 51072, 52705, 51106, 50971, 73980, 78830, 52346, 50608, 57427, 60789, 50597, 56789, 50816, 50971, 73980, 61452, 60789, 50597, 53998, 51547, 50887, 51590, 50890, 52031, 69573, 55579, 50971, 73980, 61452, 63801, 53257, 54327, 50971, 73980, 61452, 51123, 51658, 56701, 55182, 50971, 51715, 50792, 50597, 52523, 53376, 50608, 55237, 51123, 53525, 50971, 73980, 61452, 60466, 51547, 50836, 51590, 50880, 52031, 50890, 55842, 53597, 50597, 54327, 50971, 73980, 61452, 65650, 52365, 50864, 73980, 61452, 59038, 50801, 50950, 73980, 53376, 50608, 57427, 79519, 52365, 54327, 50971, 51715, 51826, 57649, 61452, 60004, 51547, 50862, 51590, 50890, 52031, 71074, 55579, 50971, 73980, 61452, 51123, 50458, 52365, 50864, 51621, 66260, 57649, 61452, 51123, 50799, 52365, 53617, 56701, 50844, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 62999, 50971, 73980, 61452, 59895, 51547, 50862, 51590, 50887, 52031, 50887, 55842, 53597, 50596, 51833, 55710, 78830, 56320, 51123, 51510, 55710, 61452, 57252, 51205, 51388, 50801, 50950, 73980, 78830, 52346, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 51123, 50431, 61356, 52265, 51547, 50836, 51590, 50880, 52031, 67344, 55579, 50971, 73980, 61452, 63801, 61356, 52050, 50971, 73980, 61452, 58604, 61356 ]
[ 0, 713, 17627, 17274, 3495, 2214, 11, 211, 538, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 2365, 9629, 4, 7219, 8, 21979, 29589, 6, 6168, 3540, 6, 21072, 6, 8, 3459, 13305, 283, 561, 11, 10, 15352, 30054, 8, 20425, 9804, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 33215, 16739, 9, 211, 6, 83, 6, 381, 6, 211, 401, 6, 8, 83, 3639, 7, 5, 2214, 18, 33928, 16464, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50415, 50927, 67242, 51454, 51206, 52149, 51240, 51965, 50960, 51191, 51078, 51191, 50947, 51191, 50416, 53359, 50805, 52003, 50893, 52775, 52864, 51265, 50864, 51271, 53078, 75342, 51013, 50423, 53359, 50855, 52003, 50836, 52775, 50813, 51545, 67153, 52503, 51070, 55382, 69747, 51659, 50846, 51355, 50895, 50927, 65426, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 51922, 50429, 51195, 53911, 53359, 51100, 52003, 50805, 52775, 51100, 51545, 50828, 51271, 53934, 50807, 51240, 51333, 50913, 50915, 50435, 51070, 50943, 50437, 50929, 51191, 51067, 55965, 51771, 51141, 51195, 50883, 50927, 58484, 65030, 51013, 51076, 73700, 52003, 51189, 52427, 51189, 51250, 50883, 50953, 73136, 52018, 52586, 51013, 51240, 52397, 50913, 51003, 50447, 51250, 75073, 52503, 51070, 59731, 51780, 50809, 51630, 50890, 53145, 70979, 68391, 55113, 51196, 51068, 51336, 50843, 51013, 51270, 51922, 50456, 77071, 52018, 53934, 50807, 51240, 51432, 50913, 51003, 50459, 51250, 57462, 51013, 50461, 50960, 51189, 50947, 51189, 51078, 51191, 52288, 50923, 50953, 54279, 51090, 50843, 51013, 51240, 51637, 50420, 53359, 51255, 52003, 51124, 52775, 51124, 51265, 50904, 51271, 52493, 51013, 50913, 51003, 50423, 51545, 59719, 53678, 51070, 60823, 51195, 50841, 51659, 73472, 50887, 50927, 57169, 56946, 51356, 51068, 51336, 50843, 51013, 51236, 53486, 50429, 53359, 50867, 52003, 50867, 52775, 50886, 51195, 54216, 51545, 50841, 51271, 53708, 50807, 51240, 51333, 50913, 50914, 50435, 51070, 50807, 50437, 51317, 71380, 53359, 50846, 52003, 50818, 52775, 50828, 51195, 50883, 50927, 54279, 72760, 51013, 51131, 51191, 50998, 51191, 52012, 51059, 50439, 52126, 51111, 51816, 51060, 53464, 51100, 51355, 50883, 79861, 50947, 51381, 51316, 51381, 51292, 79002, 51381, 51316, 51381, 51292, 51381, 50444, 52657, 53934, 50807, 51240, 53280, 50913, 50943, 50447, 52126, 67029, 50855, 53464, 50862, 51355, 76399, 51432, 51070, 59731, 52459, 50809, 52395, 50887, 54010, 50887, 51011, 68391, 57623, 51196, 51068, 51336, 50843, 51013, 51270, 52503, 50453, 51383, 55490, 50456, 52126, 50829, 51816, 50829, 53464, 50867, 51659, 50890, 52657, 54726, 51013, 51236, 53577, 50913, 50943, 50459, 51350, 60228, 50807, 50461, 50960, 51191, 50799, 52126, 50884, 51816, 50883, 53464, 50895, 51011, 58484, 65030, 51013, 51240, 51965, 51078, 51191, 50947, 51191, 50415, 53359, 50879, 52775, 51173, 52003, 51192, 50927, 75832, 51265, 50891, 51271, 54726, 51013, 50913, 50914, 50423, 53359, 50862, 52003, 50855, 52775, 50867, 51545, 61391, 52988, 51070, 54243, 74900, 51659, 73472, 50884, 50927, 68391, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 52503, 50429, 51195, 53695, 53359, 51111, 52003, 51158, 52775, 51100, 51545, 50828, 51271, 54782, 52011, 50913, 75342, 62369, 51070, 55965, 51195, 50883, 50927, 58484, 65030, 51013, 50929, 51191, 51076, 51191, 51067, 73700, 52003, 51446, 51771, 51472, 52427, 51413, 51250, 50883, 50953, 73136, 52018, 53708, 50889, 51240, 52025, 50913, 51003, 50447, 51250, 50385, 52272, 52503, 51070, 59731, 51780, 50809, 51630, 50890, 53145, 70979, 68391, 55113, 51196, 51068, 51336, 50843, 51013, 51270, 52727, 50456, 51350, 50895, 52018, 53708, 50807, 51240, 51387, 50913, 50943, 50459, 51250, 58724, 50889, 50461, 50960, 51191, 51078, 51191, 52563, 51031, 50927, 65426, 51090, 50843, 51013, 51240, 52136, 50947, 70506, 53359, 51095, 52003, 51175, 52775, 51095, 51265, 50863, 51271, 52493, 50889, 50913, 50914, 50423, 51545, 56455, 52727, 51070, 52910, 51195, 50895, 51659, 50818, 51355, 50895, 50927, 68391, 56946, 51356, 51068, 51336, 50843, 51013, 51236, 52407, 50429, 53359, 50867, 52003, 50820, 52775, 50834, 51195, 53695, 51545, 50818, 51271, 53934, 50995, 51240, 51466, 50913, 50914, 50435, 51070, 50943, 50437, 51131, 51189, 51317, 51189, 50998, 71378, 53359, 50828, 52003, 50895, 52775, 50818, 51195, 50883, 50927, 50949, 51011, 65398, 72760, 51013, 52012, 51029, 50947, 51283, 51316, 51283, 51292, 51283, 50947, 51283, 50439, 52126, 50828, 51816, 50895, 53464, 50795, 51355, 50883, 51316, 51381, 51292, 51381, 50441, 52126, 50933, 51816, 64208, 52657, 53708, 50807, 51240, 53280, 50913, 51003, 50447, 52126, 50836, 51816, 50846, 53464, 50855, 51355, 55767, 53096, 51070, 59731, 52459, 50809, 52395, 50890, 54010, 77537, 68391, 57623, 51196, 51068, 51336, 50843, 51336, 51383, 51748, 50453, 52126, 58847, 52503, 50456, 52126, 50809, 51816, 50890, 53464, 50887, 51659, 50809, 52657, 52586, 51013, 51236, 53577, 50913, 50943, 50459, 51350, 57072, 50914, 50461, 50960, 51486, 50947, 51894, 50799, 52126, 50846, 51816, 50895, 53464, 50846, 51011, 50949, 50927, 65398, 51054, 51206, 52149, 51240, 51965, 51078, 51486, 61513, 56025, 53359, 50805, 52003, 51173, 52775, 51111, 50420, 51265, 50825, 51271, 53347, 51013, 50913, 51003, 61513, 51048, 50423, 53359, 50855, 52003, 50828, 52775, 50813, 51545, 67153, 52503, 51070, 55382, 69747, 51659, 50846, 51355, 50895, 50927, 51505, 50801, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 51922, 50429, 51195, 53911, 53359, 51103, 52003, 51077, 52775, 51103, 51545, 50828, 51271, 55399, 51333, 50913, 59098, 50807, 61616, 51077, 50435, 51070, 56389, 51195, 50883, 50927, 65426, 65030, 62682, 51271, 52586, 51013, 51240, 52397, 50913, 51003, 50447, 51195, 75073, 52503, 51070, 59731, 51659, 73472, 50890, 51630, 73117, 65426, 55113, 51196, 51068, 51336, 50843, 51013, 51270, 51922, 50456, 51545, 50855, 51271, 53934, 50807, 51240, 51432, 50913, 51003, 50459, 51195, 57462, 51013, 50461, 50929, 51894, 51076, 51894, 51067, 51486, 52288, 50949, 50953, 65398, 51090, 50843, 51013, 51240, 51637, 50719, 50303, 51346, 50420, 52003, 51255, 51771, 51124, 52427, 51124, 79527, 52018, 52493, 51013, 50913, 51003, 50423, 51350, 59719, 53678, 51070, 51013, 50425, 50719, 50303, 52483, 68540, 51780, 50809, 51630, 50887, 50953, 57169, 56946, 51356, 51068, 51336, 50843, 51013, 51236, 53486, 50429, 52003, 50867, 51771, 50867, 52427, 50886, 51250, 54216, 51350, 50841, 52018, 53708, 50807, 51240, 51333, 50913, 50914, 61513, 51623, 50435, 51070, 52424, 52003, 51111, 51771, 50967, 52427, 51110, 51250, 50883, 50953, 57169, 72760, 62682, 52018, 53934, 50807, 51240, 53280, 50913, 50943, 50447, 65688, 51771, 50855, 52427, 50862, 51250, 76399, 51432, 51070, 59731, 51780, 50809, 51630, 50887, 53145, 50887, 50953, 68391, 57623, 51196, 51068, 51336, 50843, 51013, 51270, 52503, 50453, 51383, 55490, 50456, 52003, 50829, 51771, 50829, 52427, 50867, 72708, 52018, 54726, 51013, 51236, 53577, 50913, 50943, 50459, 51195, 60228, 50807, 50799, 52003, 50884, 51771, 50880, 52427, 50895, 50953, 58484, 65030, 51013, 51240, 51965, 50960, 51191, 51078, 51191, 50947, 51191, 68847, 51116, 50415, 53359, 51158, 52775, 51173, 52003, 51192, 50927, 75832, 51265, 50891, 51271, 54726, 51013, 50913, 50914, 50423, 53359, 50862, 52003, 50855, 52775, 50867, 51545, 61391, 52988, 51070, 54243, 74900, 51659, 73472, 50884, 50927, 65426, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 52503, 68847, 51116, 50429, 51195, 53695, 53359, 51111, 52003, 51158, 52775, 51100, 51545, 50828, 51271, 53708, 50807, 51240, 52011, 50913, 51003, 50435, 51070, 50914, 50437, 51067, 71380, 52427, 51413, 51195, 50883, 50927, 58484, 65030, 51013, 50929, 51191, 51076, 51191 ]
[ 0, 250, 15352, 30054, 3495, 657, 2214, 702, 9382, 15, 13305, 23, 10, 7212, 20889, 4, 85, 18, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 211, 406, 6, 272, 6, 230, 6, 8, 272, 31473, 10, 1472, 9, 11098, 8, 11926, 7, 42, 765, 1011, 625, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50438, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 59419, 57631, 55082, 74367, 51120, 51538, 51086, 51538, 50871, 51538, 52591, 50877, 52483, 50861, 53912, 50861, 76195, 51538, 51086, 51538, 50871, 51538, 63932, 50889, 57844, 50889, 53645, 59460, 51608, 50292, 51538, 51026, 51538, 57267, 68368, 66336, 50876, 50889, 53997, 55143, 51077, 50968, 51077, 51085, 51538, 56978, 52483, 50900, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 57267, 55082, 50931, 51141, 51026, 51538, 50899, 51538, 50973, 51538, 52591, 50968, 52483, 50902, 53912, 50968, 76195, 51538, 50900, 51538, 50861, 51538, 63932, 50889, 54960, 54243, 50902, 51608, 50297, 51077, 50899, 51538, 50871, 51538, 60496, 55082, 51026, 66154, 50889, 53997, 51077, 51026, 51077, 50916, 51077, 50876, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 59419, 57631, 55082, 74367, 51120, 51538, 51086, 51538, 50871, 51538, 52591, 50877, 52483, 50861, 53912, 50861, 76195, 51538, 51086, 51538, 50871, 51538, 63932, 50889, 57844, 50889, 53645, 59460, 51608, 50292, 51538, 51026, 51538, 57267, 68368, 66336, 50876, 50889, 53997, 55143, 51077, 50968, 51077, 51085, 51538, 56978, 52483, 50900, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 57267, 55082, 50931, 51141, 51026, 51538, 50899, 51538, 50973, 51538, 52591, 50968, 52483, 50902, 53912, 50968, 76195, 51538, 50900, 51538, 50861, 51538, 63932, 50889, 54960, 54243, 50902, 51608, 50297, 51077, 50899, 51538, 50871, 51538, 60496, 55082, 51026, 66154, 50889, 53997, 51077, 51026, 51077, 50916, 51077, 50876, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 59419, 57631, 55082, 74367, 51120, 51538, 51086, 51538, 50871, 51538, 52591, 50877, 52483, 50861, 53912, 50861, 76195, 51538, 51086, 51538, 50871, 51538, 63932, 50889, 57844, 50889, 53645, 59460, 51608, 50292, 51538, 51026, 51538, 57267, 68368, 66336, 50876, 50889, 53997, 55143, 51077, 50968, 51077, 51085, 51538, 56978, 52483, 50900, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 57267, 55082, 50931, 51141, 51026, 51538, 50899, 51538, 50973, 51538, 52591, 50968, 52483, 50902, 53912, 50968, 76195, 51538, 50900, 51538, 50861, 51538, 63932, 50889, 54960, 54243, 50902, 51608, 50297, 51077, 50899, 51538, 50871, 51538, 60496, 55082, 51026, 66154, 50889, 58106, 51085, 51077, 51026, 51077, 50916, 51077, 50876, 51077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 32625, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 30062, 620, 7085, 12280, 642, 6, 15054, 17838, 6, 8, 6755, 12547, 35810, 561, 3366, 219, 34879, 6, 150, 5, 21072, 694, 10, 16634, 12989, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 41, 1614, 1073, 1020, 2877, 6, 4246, 10, 33215, 16739, 9, 274, 406, 6, 272, 119, 1176, 406, 6, 8, 211, 119, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 50415, 57545, 50984, 50418, 50697, 50339, 51123, 50421, 59886, 50984, 50424, 50697, 50339, 71874, 57545, 51123, 50430, 55802, 73632, 53647, 50984, 50436, 55554, 51123, 50439, 57545, 50984, 50442, 55554, 50984, 50445, 53647, 51022, 50448, 55554, 50984, 50451, 57545, 50984, 50454, 55802, 51123, 50457, 53647, 51123, 50460, 55554, 51123, 51601, 51357, 51008, 51093, 51244, 52143, 51183, 51301, 51080, 51182, 51314, 59861, 50857, 59449, 51123, 56770, 50912, 59623, 56127, 60131, 50864, 59800, 59539, 51306, 50418, 70563, 50886, 56737, 50941, 60849, 50984, 55845, 64370, 52445, 50419, 51154, 77946, 62796, 50941, 60849, 53665, 72592, 55228, 50886, 59613, 50904, 56770, 50912, 59449, 56897, 56016, 51357, 51008, 55039, 50827, 60187, 53665, 62184, 57215, 50912, 60849, 50912, 59623, 50837, 64869, 50368, 51024, 52917, 52566, 50827, 59800, 53864, 61033, 51304, 51142, 52697, 50933, 59623, 50886, 59613, 51123, 59449, 61605, 57265, 53748, 50933, 59800, 59539, 61938, 53118, 50933, 60849, 50907, 59449, 50825, 64869, 56897, 60741, 51357, 60675, 52650, 50933, 64869, 53665, 57004, 52890, 50851, 56770, 50907, 59613, 50867, 59449, 56897, 54487, 51093, 51051, 54029, 50959, 60187, 54493, 61385, 52566, 50822, 64869, 50984, 59623, 50864, 60849, 56897, 53219, 52697, 50941, 59800, 59295, 59764, 51357, 51174, 51093, 51642, 52143, 51145, 51301, 51080, 51182, 51148, 53260, 50910, 56770, 50984, 59623, 50867, 59449, 50368, 51024, 63239, 66977, 52697, 50827, 59800, 54493, 60547, 52566, 50959, 59449, 50886, 64869, 50907, 60849, 56897, 59808, 51093, 68288, 54029, 51142, 64869, 54493, 60822, 52890, 50851, 59449, 51123, 56770, 50912, 59613, 59539, 54284, 51357, 51142, 52650, 50933, 60187, 59295, 71483, 53118, 50822, 60849, 50984, 59623, 50829, 64869, 56897, 53166, 53748, 50941, 59800, 54493, 69232, 51093, 51709, 53472, 50874, 56770, 50984, 59623, 50941, 59449, 55484, 60491, 53715, 50827, 59800, 54493, 67827, 57215, 50851, 60849, 50984, 64869, 50907, 59449, 59539, 61733, 51357, 63234, 55039, 50912, 64869, 50904, 59613, 53612, 51129, 50457, 59861, 50864, 56737, 50912, 59449, 50984, 61891, 59295, 59506, 51093, 50959, 62796, 50886, 55845, 55942, 51693, 50460, 61534, 50829, 64869, 50984, 59800, 50864, 60849, 50368, 51024, 51693, 50799, 60131, 53665, 52445, 50415, 51357, 50978, 52143, 51047, 51301, 51080, 51093, 51244, 51182, 51244, 59861, 50813, 56770, 51022, 59449, 50984, 59623, 58671, 60131, 50864, 59800, 53864, 51306, 50418, 70563, 50864, 56737, 50837, 60849, 50907, 55845, 64370, 52611, 50419, 51154, 70304, 62796, 50886, 60849, 59295, 73768, 55228, 50827, 56770, 50984, 59613, 50835, 59449, 50368, 51024, 58574, 51357, 51008, 55039, 50851, 60187, 54493, 60548, 57215, 50827, 59623, 50835, 60849, 50912, 64869, 50368, 51024, 52966, 52566, 50904, 59800, 54493, 68713, 51304, 51051, 52697, 50874, 59613, 50907, 59449, 50984, 59623, 59220, 57265, 53748, 50851, 59800, 56162, 65973, 53118, 51142, 60849, 50984, 64869, 51123, 59449, 53665, 59277, 51357, 60675, 52650, 50959, 64869, 56162, 57004, 52890, 51051, 59613, 50867, 59449, 50984, 56770, 61605, 54606, 51093, 51008, 54029, 51051, 60187, 61212, 58024, 52566, 51051, 60849, 50907, 64869, 51022, 59623, 59220, 53219, 52697, 50827, 59800, 53612, 60032, 51357, 51058, 51093, 51642, 52143, 51183, 51301, 51314, 51182, 51244, 53260, 50925, 59449, 50907, 56770, 50907, 59623, 76300, 50932, 50856, 54129, 52697, 51051, 59800, 56162, 60547, 52566, 51051, 60849, 51123, 59449, 50825, 64869, 56897, 59808, 51093, 59791, 54029, 50874, 64869, 53612, 60822, 52890, 51142, 59449, 51022, 59613, 50864, 56770, 50368, 51024, 54284, 51357, 51051, 52650, 50959, 60187, 53612, 71483, 53118, 50959, 64869, 50984, 59623, 50825, 60849, 64370, 52805, 53748, 50851, 59800, 53612, 69232, 51093, 50932, 53472, 50912, 59449, 51022, 59623, 50835, 56770, 64370, 58207, 53715, 50933, 59800, 56162, 62476, 57215, 50822, 60849, 50984, 59449, 50941, 64869, 56897, 64360, 51357, 65628, 55039, 50864, 59613, 50837, 64869, 59295, 63367, 59861, 50827, 56737, 50984, 59449, 50912, 61891, 53665, 79440, 51093, 50933, 62796, 50864, 55845, 53665, 51306, 50460, 61534, 50835, 64869, 50984, 59800, 50867, 60849, 50368, 51024, 51258, 50799, 60131, 59295, 51306, 50415, 51154, 50933, 51088, 51314, 52776, 51047, 51165, 51080, 51107, 51244, 70164, 50855, 59800, 50912, 56770, 50912, 61891, 56127, 74415, 50864, 61878, 59220, 51258, 50418, 70563, 50864, 56737, 50829, 60849, 51123, 55845, 50368, 51024, 52445, 50419, 51154, 61378, 62796, 50904, 60849, 59220, 73768, 60131, 50904, 56770, 50984, 59800, 50837, 59800, 64370, 58574, 51154, 50933, 63950, 50851, 59449, 54493, 62184, 56456, 50851, 61891, 50829, 56737, 50984, 61891, 50368, 51024, 53098, 52566, 50864, 59800, 53665, 61033, 51304, 51058, 52697, 50874, 59449, 51123, 59613, 50907, 59470, 53665, 68364, 56265, 50851, 61878, 53665, 60286, 53715, 51008, 56737, 50984, 56770, 50886, 61891, 50368, 51024, 60741, 51154, 60675, 53472, 50959, 56737, 59220, 57107, 54969, 50827, 59800, 50864, 59800, 50912, 56770, 56897, 54606, 51088, 51008, 53118, 50874, 59449, 55942, 60631, 52650, 50933, 56737, 51123, 61891, 50867, 61891, 61605, 53219, 54757, 50867, 61878, 59220, 59764, 51154, 50959, 51088, 51642, 52776, 51145, 51165, 51244, 51107, 51314, 53267, 55766, 50326, 50867, 56770, 51123, 59800, 64370, 63239, 75576, 54757, 50959, 61878, 53864, 58408, 52650, 51051, 56737, 50907, 61891, 51123, 56770, 54493, 63610, 51088, 63236, 53118, 50874, 56737, 59220, 63693, 54969, 50827, 59800, 50971, 59800, 50822, 56770, 64370, 54284, 51154, 51008, 53472, 50851, 59449, 53665, 63612, 53715, 51008, 61891, 50825, 61891, 51123, 56737, 56897, 53430, 56265, 50864, 61878, 55942, 78878, 51088, 51709, 59862, 51008, 59800, 51123, 56770, 50907, 61891, 53612, 61362, 55228, 50912, 61878, 59295, 67827, 56456, 51008, 61891, 50984, 56770, 50886, 56737, 50368, 51024, 60570, 51154, 63234, 63950, 50874, 59800, 50863, 56737, 54493, 51129, 50457, 59861, 50864, 56737, 50984, 59449, 50912, 61891, 59539, 75661, 51088, 51051, 62796, 50904, 55845, 54493, 51258, 50460, 62796, 50863, 61878, 50886, 56737, 50984, 61891, 50368, 51024, 51258, 50799, 74415, 54493, 52445, 50415, 51154, 51142, 51088, 51148, 52776, 51145, 51165, 51148, 51107, 51314, 70164, 50813, 56770, 50907, 59800, 51123, 61891, 56572, 74415, 50829, 61878, 53665, 51258, 50418, 70563, 50867, 60849, 50912, 55845, 51123, 56737, 53665, 51306, 50419, 51154, 61378, 62796, 50867, 60849, 59295, 73768, 60131, 50827, 59800, 50867, 59800, 50984, 56770, 64370, 56016, 51154, 50959, 63950, 50874, 59449, 53864, 60548, 56456, 50912, 56737, 50912, 61891, 50835, 61891, 64370, 53098, 52566, 50864, 59800, 59220, 59619, 51304, 51008, 52697, 50874, 59470, 50886, 59613, 51022, 59449, 61605, 63369, 56265, 50874, 61878, 53612, 66434, 53715, 50851, 56770, 50835, 56737, 50907, 61891, 64370, 58734, 51154, 61957, 53472, 50827, 56737, 53665, 58803, 54969, 51008, 59800, 50867, 59800, 50912, 56770, 50368, 51024, 54665, 51088, 51051, 53118, 51008, 59449, 54493, 60631, 52650, 51008, 61891, 50928, 61891, 50827, 56737, 64370, 53442, 54757, 50886, 61878, 59220, 59901, 51154, 50933, 51088, 51309, 52776, 51183, 51165, 51148, 51107, 51080, 53267, 50897, 61891, 50837, 59800, 50984, 56770, 50369 ]
[ 0, 250, 15352, 30054, 8, 1372, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 21437, 10, 33215, 16739, 9, 230, 119, 6, 163, 428, 406, 73, 495, 6, 12608, 406, 6, 2060, 6, 8, 381, 12361, 11, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50443, 50997, 52236, 50290, 62955, 50900, 54105, 51085, 54232, 51120, 67954, 50857, 51601, 51026, 61381, 60209, 50871, 65149, 51050, 50955, 50424, 50899, 50835, 51120, 50941, 53523, 50834, 51085, 52953, 50997, 50925, 51234, 51101, 50439, 53492, 57728, 50997, 51419, 51040, 59783, 52019, 50317, 50820, 68355, 50951, 58510, 50968, 66423, 78945, 53217, 50876, 59552, 50968, 58114, 61752, 55971, 57947, 51601, 71985, 50416, 51040, 79652, 60097, 50835, 50968, 64280, 50906, 53070, 50876, 58640, 50906, 63699, 51537, 50324, 69662, 73940, 79058, 58594, 51339, 50828, 51081, 50839, 52128, 54735, 51234, 50829, 51050, 79057, 60044, 51197, 72792, 63075, 51787, 60754, 50951, 51604, 50335, 72889, 63893, 50837, 50997, 55053, 50931, 50835, 51339, 59175, 51026, 64189, 50837, 51601, 51405, 66967, 56390, 51378, 50829, 50989, 58092, 50999, 56295, 50902, 50835, 51050, 50835, 51146, 62252, 52670, 51399, 55477, 51028, 64015, 50997, 54974, 50965, 63751, 50863, 50876, 50863, 51062, 79836, 62000, 51081, 53387, 50906, 50892, 71626, 61123, 50863, 50965, 74156, 52904, 50931, 65004, 50951, 51000, 50440, 51147, 55788, 51081, 52363, 50290, 58616, 50906, 61794, 51197, 72794, 52763, 51114, 50870, 51787, 66955, 50941, 50451, 51487, 64125, 50956, 63893, 50837, 50997, 62662, 50931, 50835, 51339, 57059, 51026, 63484, 57015, 51001, 50835, 51405, 50834, 51601, 50989, 50863, 51378, 67722, 50876, 79711, 62307, 51028, 50820, 51399, 52761, 50902, 57987, 51146, 50828, 51050, 63751, 53899, 51028, 50841, 51399, 52639, 50876, 80131, 79058, 50870, 50965, 71357, 59741, 50899, 74031, 50906, 71446, 54777, 50997, 77157, 50891, 50899, 75816, 63122, 50931, 52666, 50323, 55666, 51234, 50825, 51081, 51962, 50302, 56755, 50906, 55368, 51197, 74569, 59361, 50951, 52386, 50334, 57989, 51487, 74265, 63484, 52763, 50997, 61634, 50931, 50835, 51339, 50829, 51026, 53007, 50861, 55397, 51001, 50834, 51405, 58660, 51378, 50829, 50989, 50825, 52177, 50999, 61844, 50902, 50820, 51146, 50820, 51050, 53109, 50876, 50835, 51062, 58830, 50997, 74156, 63751, 60931, 50906, 50820, 51081, 56680, 50877, 51413, 50999, 51191, 50430, 51360, 66577, 57405, 51040, 62710, 63484, 59721, 51085, 76962, 57728, 51114, 76606, 63302, 50956, 50834, 51050, 67099, 50876, 62564, 51247, 67904, 51058, 50460, 60215, 50956, 50820, 51050, 50867, 51809, 60216, 50418, 50899, 50835, 51120, 58592, 78466, 74170, 50902, 72417, 51234, 79057, 68564, 51147, 67393, 51085, 76962, 71808, 57455, 50902, 63122, 51120, 60500, 66423, 69506, 50973, 74965, 50906, 50829, 51197, 50870, 50956, 59265, 51787, 64468, 57291, 51487, 72889, 60044, 50861, 50835, 50997, 56782, 50931, 50829, 51339, 50829, 51026, 57098, 50861, 62107, 51405, 75703, 54603, 50989, 50825, 51378, 64559, 58077, 51062, 50825, 58540, 50820, 51399, 56390, 51050, 72680, 50834, 51146, 62847, 53405, 51081, 50829, 52052, 57240, 50965, 50835, 50997, 71357, 50870, 51814, 50820, 50999, 57074, 51147, 51581, 50336, 50812, 50428, 51234, 60443, 52357, 56999, 51062, 57398, 50997, 62296, 59347, 61294, 50899, 60622, 51220, 50829, 53117, 57477, 51197, 72794, 50863, 52357, 50829, 51062, 53027, 53117, 50891, 51062, 50835, 52357, 70170, 57013, 50861, 50837, 50997, 57989, 51114, 50834, 51787, 71351, 54185, 51487, 50825, 51026, 63893, 60535, 51399, 64833, 50902, 74538, 55370, 50989, 50825, 51378, 59175, 51001, 50834, 51405, 58660, 50902, 71762, 62296, 50837, 52177, 51399, 50829, 51028, 59527, 50876, 79652, 72172, 61132, 51062, 63751, 58115, 50906, 79971, 50915, 50424, 51234, 60443, 50997, 64205, 50965, 63336, 79836, 57892, 65590, 50956, 55604, 51001, 50820, 51405, 58780, 51360, 50820, 51040, 74939, 50846, 51339, 57868, 51114, 50820, 51787, 50846, 51085, 76962, 61733, 50951, 50834, 51487, 50828, 51234, 79057, 56842, 50900, 50820, 51085, 50837, 51809, 51001, 56572, 51405, 62307, 50965, 70170, 63266, 50900, 66876, 50834, 51339, 59761, 51085, 50829, 51787, 66174, 75967, 50825, 51062, 58734, 51062, 50829, 51487, 50825, 51234, 78945, 50863, 50997, 57413, 51279, 74644, 58900, 50931, 63336, 50834, 51339, 68095, 74295, 59279, 51001, 50837, 51405, 60411, 51234, 64204, 50834, 51146, 55223, 51001, 64314, 51405, 57208, 50965, 79836, 50863, 51339, 50841, 50931, 57583, 50997, 63917, 51405, 51291, 50458, 51001, 51448, 50951, 51535, 50460, 51197, 72792, 50829, 52478, 51234, 79057, 59094, 51085, 76962, 59278, 51360, 50820, 51040, 56305, 51120, 70883, 54656, 50876, 50835, 51062, 60862, 50965, 79058, 50837, 51146, 69147, 50870, 50902, 55685, 51399, 78864, 59361, 51062, 50834, 51234, 66731, 66730, 51081, 69074, 59753, 50902, 50841, 51146, 50846, 50997, 50870, 50965, 60570, 50899, 58908, 50876, 51162, 51062, 50991, 50458, 51176, 50841, 50965, 50841, 51601, 50965, 63749, 51176, 56572, 50861, 50863, 51220, 50908, 51026, 54104, 50871, 50820, 51050, 56344, 50906, 56609, 50876, 50828, 51062, 50818, 51234, 50841, 50997, 56512, 50951, 56857, 51197, 59370, 50956, 67266, 50825, 51405, 52621, 51405, 50959, 50439, 51001, 52386, 50323, 56755, 50861, 73356, 59144, 50997, 57785, 51001, 65434, 51062, 51058, 50448, 51234, 79057, 57136, 51081, 65126, 50956, 66517, 75703, 78213, 50835, 50997, 58841, 65590, 50956, 50820, 52177, 51487, 50874, 50418, 51399, 68162, 51146, 75431, 51339, 68014, 51405, 50955, 50429, 51081, 67393, 51146, 50987, 50431, 50916, 50820, 51315, 54665, 51062, 61360, 51050, 50834, 51081, 64587, 59808, 50965, 79057, 55118, 51146, 61806, 50858, 51147, 50940, 50449, 50900, 54086, 51050, 58759, 51399, 50829, 51028, 58677, 51040, 50820, 51050, 53217, 50876, 50835, 51062, 57029, 50906, 50835, 51081, 59652, 51050, 61561, 50902, 67232, 71473, 50834, 51809, 51399, 50841, 51028, 59740, 50965, 64559, 80131, 63222, 50997, 74156, 60916, 66734, 78466, 50424, 51234, 79057, 56680, 50906, 50834, 51081, 60443, 51062, 50884, 50965, 62088, 50839, 50997, 74156, 58039, 64413, 50436, 51001, 50846, 51197, 50834, 51405, 50818, 50956, 58829, 51114, 50883, 51787, 50961, 50989, 59096, 51001, 74265, 51609, 50331, 54199, 51062, 70567, 50829, 57126, 50820, 51114, 50895, 51787, 80148, 50956, 52386, 50331, 50822, 51001, 52976, 51062, 67843, 56748, 51315, 67801, 79711, 59701, 51399, 55666, 51146, 50813, 51050, 58159, 50871, 59224, 51147, 71300, 62088, 50835, 50997, 50835, 51062, 57399, 51050, 73355, 74154, 50820, 51220, 63340, 51062, 64853, 51220, 76268, 73046, 50841, 51050, 50837, 51147, 50863, 51601, 51062, 51047, 51050, 62088, 51047, 50899, 64301, 51147, 51148, 50421, 51234, 56818, 50997, 64561, 51085, 68095, 56512, 51120, 69147, 62047, 51197, 72792, 52616, 50973, 50891, 51220, 63157, 51062, 60886, 50956, 62088, 79058, 63893, 50835, 51220, 51306, 50449, 50951, 75030, 51234, 64314, 51220, 62448, 64360, 51062, 63287, 64853, 50861, 73356, 59552, 50997, 57243, 51081, 50863, 51601, 51062, 60407, 50820, 51197, 65597, 50956, 56856, 51360, 50828, 51040, 50828, 51081, 58830, 51062, 50879, 50425, 50876, 50977, 50427, 51085, 76962, 60741, 51081, 64938, 50951, 70934, 50829, 51234, 50841, 50997, 57927, 51176, 50841, 51503, 58655, 78363, 51487, 50897, 50951, 51820, 50956, 66274, 57028, 50900, 60411, 51339, 54823, 51279, 50829, 68717, 51062, 50813, 51487, 50833, 51027, 57690, 51339, 55162, 51405, 64312, 74265, 64911, 63751, 59025, 51062, 50907, 54662, 55138, 51146, 66179 ]
[ 0, 250, 1144, 26016, 3495, 1619, 1011, 625, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 16634, 178, 5285, 20889, 4, 20, 13305, 8, 21979, 8669, 483, 5, 33301, 6, 7513, 30, 5, 32625, 23225, 9, 10, 6755, 12547, 6, 23338, 33518, 1264, 6, 8, 21979, 9590, 4, 20, 2125, 3905, 10, 33215, 16739, 9, 12608, 6, 2060, 6, 230, 10431, 6, 12608, 6, 8, 2060, 6, 2351, 10, 8728, 8, 32076, 5466, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 55858, 56884, 50839, 51868, 51226, 52540, 51194, 50415, 53805, 51043, 50420, 51396, 51212, 51317, 72626, 51846, 53726, 50426, 51017, 50873, 50970, 51192, 50427, 51317, 51423, 50432, 51868, 50859, 51396, 51101, 50433, 51846, 51884, 50438, 51868, 51472, 50872, 65762, 51121, 50970, 50887, 51078, 51255, 53805, 51645, 50444, 51396, 51277, 50445, 51846, 58961, 50450, 75333, 50970, 50887, 51078, 50849, 51317, 66913, 51017, 50845, 62200, 51846, 73363, 51078, 57661, 74584, 50461, 73886, 66790, 50829, 51868, 51362, 52540, 51481, 53805, 51277, 50699, 50348, 54270, 50420, 51396, 51101, 51317, 50905, 51846, 54298, 50426, 51017, 50892, 50970, 51192, 51317, 52063, 50432, 51868, 50859, 51396, 51121, 50433, 51846, 54691, 50438, 51868, 51661, 50872, 67319, 50901, 50970, 50841, 51078, 58648, 51396, 51363, 51846, 56120, 50450, 50872, 50901, 50970, 50887, 51078, 50849, 51317, 51212, 52316, 50859, 50452, 51638, 50925, 50455, 51794, 54418, 51017, 50866, 68902, 51846, 73363, 51078, 57326, 50970, 51235, 50461, 74870, 51794, 51077, 66790, 50839, 51868, 51294, 52540, 51242, 53805, 51328, 50420, 51396, 51121, 51317, 50845, 51846, 76349, 51017, 51101, 50970, 51173, 50427, 51317, 52063, 50432, 51868, 50890, 51396, 51177, 50433, 51846, 53010, 50438, 51868, 51364, 50872, 63093, 51121, 62787, 51078, 50967, 50439, 53805, 59837, 51396, 51233, 50445, 51846, 53010, 50449, 50970, 55268, 50872, 50805, 51078, 50873, 51317, 50901, 52316, 59682, 51638, 64848, 51794, 54353, 51017, 50878, 61398, 51846, 68571, 51078, 57661, 50970, 57614, 50856, 50870, 66790, 50825, 51868, 51977, 52540, 52015, 51396, 52015, 51017, 51742, 50872, 51680, 51317, 51241, 53805, 51411, 53599, 73911, 52840, 57748, 51850, 55632, 52678, 50938, 50441, 51850, 67424, 52527, 55416, 51850, 50940, 50460, 53037, 51977, 51755, 54528, 50908, 51868, 51661, 52759, 51264, 52540, 61121, 58541, 51141, 51125, 56792, 61009, 52115, 50804, 50834, 51176, 51110, 51125, 51111, 50992, 60391, 50914, 51396, 50805, 52540, 50889, 51768, 54499, 50895, 51040, 51095, 51396, 50889, 50992, 64071, 56632, 50804, 63740, 50846, 51176, 51141, 51125, 56792, 58541, 60391, 68233, 52540, 50938, 53550, 53790, 50863, 51522, 51472, 51040, 51157, 52540, 50807, 51396, 57679, 58541, 56792, 63468, 50795, 50970, 50930, 51078, 51030, 69332, 51191, 54141, 50829, 51396, 60391, 68931, 59863, 50807, 51125, 51048, 62787, 50445, 51078, 55590, 50970, 51008, 51955, 54131, 60125, 50839, 51040, 51159, 52540, 50914, 51396, 58541, 50849, 51078, 51138, 52316, 58639, 51638, 70566, 51176, 51121, 51794, 51754, 50804, 50837, 51125, 56792, 54891, 61121, 50805, 51396, 50917, 50970, 61688, 51078, 59342, 50970, 60870, 51078, 50857, 55669, 62497, 54109, 50825, 51868, 51364, 52759, 51264, 52540, 60391, 68876, 58541, 67064, 63468, 50865, 51794, 51103, 50415, 50970, 51108, 55207, 50834, 51176, 50967, 50992, 64071, 61009, 50938, 51017, 50917, 50421, 52540, 74978, 51850, 60910, 54131, 50846, 51040, 50967, 51396, 51141, 51017, 58541, 59863, 63468, 51736, 52943, 53661, 53735, 50891, 51176, 51446, 51125, 67064, 57858, 60391, 58926, 51971, 58291, 51850, 50967, 53550, 53735, 50825, 51868, 51362, 51040, 51346, 51017, 58541, 50805, 52540, 51077, 69332, 51141, 54141, 50834, 51396, 50889, 51017, 54891, 67064, 63468, 51798, 50903, 54131, 50846, 51040, 51100, 51125, 56792, 60391, 50805, 50452, 53037, 59574, 51261, 52935, 64979, 51522, 51442, 50300, 50925, 51396, 60391, 54891, 59863, 63468, 61393, 51850, 70132, 52527, 50910, 55669, 53617, 50837, 51705, 51661, 51966, 51991, 51506, 51157, 51037, 51077, 51017, 50983, 63138, 69155, 50416, 52840, 51013, 55207, 50835, 50997, 51178, 50939, 63914, 50807, 51768, 54131, 50828, 51040, 51095, 51506, 60023, 51736, 50804, 60628, 50828, 50997, 50833, 51506, 60391, 63914, 55599, 66900, 51317, 66859, 51078, 50978, 50436, 50997, 51191, 50437, 51064, 53415, 50804, 53669, 50837, 51868, 51336, 51040, 51221, 51506, 51623, 51037, 50889, 51017, 58228, 60771, 50865, 51076, 50910, 50439, 50989, 51003, 54141, 64203, 58228, 57679, 50889, 51064, 65835, 51040, 51095, 79401, 51638, 50940, 51955, 54131, 50846, 51037, 50889, 50944, 55599, 64751, 51076, 51210, 51794, 50940, 50455, 50997, 51177, 51064, 51033, 51426, 51754, 77015, 50870, 50944, 60771, 57679, 51141, 50461, 51966, 51945, 53148, 51148, 51755, 53802, 58015, 50820, 51705, 51661, 51037, 57898, 60771, 50865, 51064, 50943, 55207, 74941, 51121, 50939, 58228, 56592, 50889, 51506, 51159, 50425, 51040, 70006, 52678, 66261, 54131, 75706, 63914, 60771, 58983, 52678, 62941, 50997, 54216, 64979, 51506, 68155, 60391, 58228, 55599, 53505, 50997, 51141, 50436, 52678, 51566, 50437, 51040, 51346, 53550, 53735, 50863, 51705, 52195, 51506, 60391, 63914, 55599, 72858, 50989, 51218, 54141, 50863, 50939, 58228, 57679, 50805, 51506, 51204, 50447, 51850, 53153, 52527, 53543, 60369, 50841, 51040, 51095, 51037, 61121, 55599, 58228, 59132, 51850, 54581, 50908, 50997, 50917, 51037, 50910, 67832, 50944, 56808, 50800, 51755, 53802, 50835, 51522, 51285, 51503, 51945, 63364, 50979, 59863, 59192, 76586, 51756, 51896, 55207, 50870, 50900, 51110, 50909, 59863, 62872, 50805, 51396, 50917, 51302, 60369, 72792, 51100, 51396, 58310, 62872, 59863, 59092, 50805, 52316, 57421, 50804, 62669, 71807, 51218, 51396, 57954, 62872, 59863, 50805, 56696, 50437, 50956, 51159, 51638, 50889, 51658, 53802, 50825, 51560, 51472, 50965, 51003, 51396, 60798, 50889, 50979, 59863, 59092, 50865, 54141, 50837, 56696, 50992, 50889, 50979, 72360, 51426, 51003, 51955, 54131, 74557, 70170, 51121, 51396, 57954, 62872, 59092, 79930, 50900, 55670, 50801, 54839, 50863, 56696, 50992, 57132, 57954, 68876, 50938, 50461, 51299, 51141, 55669, 68256, 53971, 50837, 51522, 51472, 51503, 51353, 51396, 62872, 59863, 59192, 50865, 50699, 50348, 55597, 55207, 66174, 51095, 56696, 50979, 59243, 61009, 56800, 52678, 58971, 63035, 50841, 50956, 51111, 51396, 61122, 59863, 54180, 59092, 51736, 52527, 53661, 50891, 50900, 50855, 51396, 58310, 62872, 59863, 50805, 56696, 51638, 51177, 50435, 50900, 51218, 50436, 51850, 51030, 50437, 50956, 51162, 52316, 51337, 53550, 54390, 50863, 51522, 51343, 50965, 51189, 51396, 51413, 50979, 51141, 50992, 59192, 64142, 52527, 51215, 54141, 50837, 56696, 50992, 69451, 51794, 54356, 51850, 71074, 54131, 50846, 50956, 51110, 50992, 50805, 56696, 50452, 52527, 54139, 52840, 50800, 51299, 78877, 51638, 57939, 52527, 54416, 75821, 50910, 56740, 61735, 50992, 55175, 57747, 51850, 51204, 55669, 53617, 50837, 51868, 51661, 52759, 51991, 52540, 51189, 51396, 51077, 51017, 57045, 59243, 64071, 50865, 52316, 51145, 55207, 50837, 51176, 51110, 50992, 64071, 58541, 60391, 50917, 51768, 53966, 50841, 51040, 64368, 68931, 59863, 63468, 57356, 50804, 70365, 50841, 51176, 50910, 51125, 56792, 54891, 68233, 52540, 50938, 50437, 51176, 51204, 50970, 50859, 51078, 50893, 51658, 54839, 50837, 51522, 51472, 51040, 51124, 52540, 50983, 51017, 51141, 50872, 59863, 64071, 61187, 50871, 51351, 51396, 51048, 54141, 73359, 56792, 54891, 50849, 50970, 58579, 52316, 53562, 51889, 59281, 54131, 50828, 51040, 51100, 51396, 50914, 50872, 59863, 64071, 50849, 50970, 73059, 51078, 50924, 51638, 50959, 50455, 51176, 52955, 50801, 54839, 50863, 52540, 61121, 58541, 59863, 63468, 50873, 78564 ]
[ 0, 250, 765, 15855, 2125, 19, 10, 11602, 9, 3495, 6, 4246, 10, 5540, 13305, 4, 20, 6711, 16, 25306, 8, 3722, 6, 19, 10, 2842, 9, 15073, 8, 9884, 4, 85, 18, 278, 11, 230, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 12447, 1001, 20889, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 61683, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50796, 52591, 50900, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50906, 51492, 51001, 51492, 50796, 52591, 50876, 51492, 51050, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50796, 52591, 50861, 51492, 51001, 51492, 50796, 52591, 51360, 51492, 51040, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50931, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 51085, 51492, 50997, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50906, 51492, 51001, 51492, 50951, 51492, 50444, 51062, 50918, 52591, 51001, 56027, 50931, 50918, 52591, 50861, 51492, 51247, 51492, 51050, 51492, 50900, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 51147, 51492, 50796, 52591, 50965, 51492, 50796, 52591, 51040, 51492, 51040, 51492, 51040, 51492, 50861, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 50900, 51492, 50900, 51492, 50900, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50906, 51492, 51001, 51492, 50444, 51062, 50918, 52591, 51001, 56027, 50931, 50918, 52591, 50965, 51492, 50876, 51492, 51050, 51492, 51050, 51492, 51050, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50796, 52591, 51001, 51036, 50951, 79190, 51492, 52591, 50906, 64806, 56027, 50876, 50918, 51001, 50918, 52591, 51040, 51492, 51040, 51492, 51040, 51492, 50861, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50931, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 50997, 51492, 50997, 51492, 50997, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50965, 51492, 50906, 51492, 51001, 51492, 50951, 51492, 50444, 51062, 50918, 52591, 51001, 50918, 50931, 78140, 50931, 50918, 52591, 50861, 51492, 51050, 51492, 50900, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50876, 51492, 51147, 51492, 51050, 51492, 51050, 51492, 50796, 52591, 50951, 51036, 52591, 50906, 56027, 50876, 50918, 52591, 51040, 51492, 50965, 51492, 50931, 51492, 50871, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 50900, 51492, 50861, 51492, 51001, 51492, 50444, 51062, 50918, 52591, 51001, 56027, 50931, 50918, 52591, 51050, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50796, 50796, 50796, 52591, 51040, 51492, 50965, 51492, 50931, 51492, 50871, 51492, 50444, 53919, 51060, 52591, 52128, 51918, 52052, 50795, 52591, 50900, 51492, 50861, 51492, 51001, 51492, 50444, 52357, 50865, 52591, 51405, 55700, 51339, 50795, 52591, 51050, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 8, 14899, 3495, 5175, 1349, 14, 22750, 1626, 11098, 8, 1313, 1007, 4, 27901, 41, 3459, 13305, 6, 2382, 3459, 8669, 6, 8, 21979, 9590, 6, 42, 8787, 2125, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 22848, 10, 16331, 33215, 16739, 9, 230, 8, 272, 119, 1176, 406, 6, 1271, 7, 63, 33558, 8, 2365, 619, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 53028, 50862, 51570, 50862, 53028, 50862, 51544, 50862, 51570, 50862, 52320, 50862, 50796, 50796, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 51899, 53754, 53754, 50839, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50801, 54996, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 71324, 54996, 50862, 51216, 51177, 50455, 51261, 55345, 50843, 50862, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62093, 54996, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50809, 51899, 54996, 50862, 51216, 51177, 50455, 51261, 55345, 50843, 50862, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862 ]
[ 0, 250, 748, 1879, 15525, 15855, 2125, 19, 3495, 16882, 6, 4246, 10, 13305, 7513, 30, 10, 6755, 12547, 9, 24896, 6, 21711, 102, 6, 8, 3551, 139, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 7630, 6568, 10, 1186, 9, 8597, 31, 2933, 8, 9066, 7, 1372, 8, 15352, 30054, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4391, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 52552, 51399, 51109, 51430, 51109, 51034, 51399, 51109, 51430, 51109, 51279, 51397, 51027, 51397, 61104, 72155, 51109, 50999, 51109, 51399, 61148, 51040, 72155, 51109, 51220, 51109, 51146, 51109, 51034, 51399, 51109, 51430, 51109, 51315, 51452, 53337, 72155, 51109, 51146, 51109, 51787, 51109, 55898, 72155, 51109, 51430, 51109, 52128, 51109, 51034, 51787, 51109, 51814, 51109, 51027, 51452, 61104, 72155, 51109, 51430, 51109, 52128, 61148, 51040, 72155, 51109, 51146, 51109, 51787, 51109, 51034, 51315, 51397, 51027, 51397, 51399, 51397, 51430, 51397, 50444, 51176, 61650, 51665, 50329, 51665, 50332, 50866, 77575, 72155, 51109, 51399, 51109, 51430, 51109, 62795, 72155, 51109, 51220, 51109, 51146, 61148, 51027, 51109, 51040, 51109, 50999, 51109, 51399, 51109, 51034, 51147, 51109, 51220, 51109, 51315, 51452, 57025, 72155, 51109, 50999, 51109, 51399, 61148, 51176, 72155, 51109, 51220, 51109, 51146, 51109, 80055, 51109, 51146, 51109, 51787, 66038, 51315, 51134, 51086, 51134, 51399, 51134, 51430, 73779, 51197, 51665, 50303, 51665, 50327, 51665, 50331, 50866, 68866, 51109, 51146, 51109, 51787, 66038, 51120, 51109, 51176, 51109, 51399, 51109, 51430, 61148, 51120, 51109, 51176, 51109, 50999, 51109, 51399, 51109, 51034, 50968, 51109, 51430, 51109, 51027, 51397, 56440, 54278, 51040, 78054, 51109, 51399, 51109, 64185, 54014, 51086, 60582, 51109, 51146, 51109, 55989, 50866, 51034, 50968, 51109, 51430, 51109, 51027, 51397, 56440, 50866, 53337, 51665, 50322, 51109, 51787, 51109, 64185, 54014, 51315, 51665, 50324, 51109, 52128, 75115, 51086, 50866, 51034, 50999, 51109, 51814, 51109, 51315, 51397, 61104, 72155, 51109, 51147, 51109, 52128, 61148, 51040, 72155, 51109, 51114, 51109, 51787, 51109, 51034, 51315, 51109, 51040, 51109, 50968, 51109, 51430, 66038, 51315, 51109, 51040, 61148, 51315, 51109, 51176, 51109, 51147, 51109, 51146, 51109, 51034, 51315, 51109, 51027, 51109, 50999, 51109, 51399, 66038, 51315, 51109, 51086, 51109, 51814, 51109, 55898, 72155, 51109, 52128, 51109, 51034, 51220, 51109, 51315, 51397, 70562, 51109, 51086, 51109, 51787, 61148, 51378, 68323, 51109, 51430, 51109, 51034, 50973, 51109, 51147, 51109, 51315, 51397, 53337, 72155, 51109, 50968, 51134, 51399, 67082, 51176, 68323, 75115, 50902, 51665, 50327, 50866, 51057, 51028, 51109, 50999, 51109, 51279, 51397, 51027, 51397, 50426, 51028, 51109, 50999, 51109, 51034, 53771, 51806, 51279, 52783, 51027, 52783, 50426, 55343, 51961, 50916, 51806, 50877, 51806, 51028, 51806, 59419, 51806, 51028, 51806, 50968, 51806, 50444, 53077, 51254, 51034, 53771, 52454, 50296, 52783, 50426, 55602, 51806, 50916, 51806, 50902, 51806, 50968, 51806, 50438, 56853, 51806, 50916, 51806, 50902, 51806, 50968, 51806, 51034, 54985, 51806, 51279, 52783, 51027, 52783, 50426, 56853, 51961, 50916, 51806, 50902, 51806, 50968, 51806, 59419, 51806, 50902, 51806, 50968, 51806, 50444, 55602, 51254, 51034, 53771, 52263, 50916, 51806, 51028, 51806, 50968, 51806, 51279, 52783, 51027, 52783, 56207, 51254, 64185, 70448, 51028, 51254, 67964, 51254, 51034, 53771, 51380, 52113, 51380, 52491, 51380, 57065, 75501, 51380, 50973, 51380, 50968, 51380, 51315, 52015, 50426, 53077, 51380, 51633, 51380, 52228, 51380, 55910, 75501, 51380, 50965, 51380, 50968, 74048, 55343, 51380, 52226, 51380, 53580, 51380, 59441, 75501, 51380, 50877, 51380, 50968, 51380, 51034, 56213, 51380, 52135, 51380, 54727, 51380, 60985, 51380, 50965, 51380, 50902, 51380, 51315, 52015, 50426, 55343, 51380, 52226, 51380, 53580, 51380, 59441, 51380, 51040, 51380, 50877, 74048, 53077, 51380, 51633, 51380, 52228, 51380, 55910, 75501, 51380, 50973, 51380, 51034, 55602, 51380, 53179, 51380, 52891, 51380, 60827, 75501, 51380, 50973, 51380, 50902, 51380, 51315, 52015, 50426, 53771, 51542, 52113, 51542, 52491, 51542, 57065, 51542, 50916, 51380, 51028, 51380, 50968, 51380, 57019, 51380, 50973, 51380, 51001, 51380, 50444, 53777, 51058, 52200, 51058, 52608, 51058, 59378, 51058, 51034, 55602, 51380, 53179, 51380, 52891, 51380, 60827, 75501, 51380, 50973, 51380, 50902, 51380, 51279, 52015, 51027, 52015, 50426, 53771, 51380, 52113, 51380, 52491, 51380, 57065, 75501, 51380, 50965, 74048, 55343, 51380, 52226, 51380, 53580, 51380, 59441, 75501, 51380, 50877, 51380, 51034, 53771, 51380, 51027, 52015, 50426, 53077, 51380, 51028, 51380, 50968, 74048, 55343, 51380, 51028, 51380, 50968, 51380, 51034, 53771, 51380, 51315, 52015, 50426, 55602, 51380, 50965, 51380, 50902, 51380, 50968, 74048, 53771, 51380, 50965, 51380, 50902, 51380, 50968, 51380, 51034, 53777, 51380, 50973, 51380, 51378, 51749, 51086, 51749, 50426, 55343, 51380, 51028, 51380, 50968, 74048, 56213, 51380, 51378, 51380, 51086, 51380, 50902, 51380, 50968, 51380, 51034, 53771, 51749, 51176, 51749, 51086, 51749, 50973, 51749, 50968, 51749, 50438, 56213, 51380, 51315, 51380, 50973, 51380, 50968, 51380, 51034, 56853, 51134, 54061, 51134, 52656, 51134, 62366, 51134, 71931, 50973, 51109, 50968, 51109, 51315, 51134, 62144, 51109, 50973, 51109, 50968, 69558, 54985, 50866, 53128, 50866, 52172, 50866, 57683, 51665, 50296, 54014, 56853, 51109, 54061, 51109, 52656, 51109, 62366, 51109, 51315, 51109, 71931, 50973, 51109, 50968, 51109, 51034, 55602, 51109, 53179, 51109, 52891, 51109, 60827, 51109, 51324, 51109, 50989, 51109, 50973, 51109, 51001, 66038, 55343, 51109, 52226, 51109, 53580, 51109, 59441, 51109, 51324, 51109, 50989, 51109, 50973, 51109, 51001, 61148, 53777, 51109, 52200, 51109, 52608, 51109, 59378, 51109, 51324, 51109, 50989, 51109, 50973, 51109, 51001, 51109, 51034, 53771, 51452, 52113, 51452, 52491, 51452, 57065, 51452, 51315, 51452, 50965, 51452, 50973, 51452, 50968, 51452, 51034, 53771, 51109, 52113, 51109, 52491, 51109, 57065, 51109, 51315, 51109, 71931, 50973, 51109, 50968, 61148, 53771, 51109, 51315, 72155, 68721, 51109, 51034, 53771, 68721, 51665, 50289, 51397, 51027, 51397, 50420, 51028, 54278, 54812, 51134, 50968, 53961, 50999, 54014, 50968, 51665, 50289, 51109, 51027, 75115, 55343, 78054, 50866, 51034, 53771, 68721, 51665, 50289, 51109, 67855, 54278, 54812, 51134, 51028, 51665, 50296, 51109, 51027, 69558, 50999, 54014, 50968, 51665, 50296, 51109, 51027, 75115, 55343, 78054, 50866, 51034, 53771, 68721, 51665, 50289, 51397, 51027, 51397, 67855, 54278, 54985, 51109, 51028, 53961, 50968, 54014, 55343, 51109, 51028, 51665, 50296, 51109, 51027, 51109, 51040, 75115, 50968, 50866, 51034, 53771, 51397, 51315, 51397, 50916, 51397, 50877, 51397, 51028, 51397, 50438, 53771, 51109, 51034, 53771, 72155, 51665, 50296, 51109, 51176, 51109, 50420, 50973, 54278, 53077, 51109, 50902, 51665, 50296, 51109, 51086, 69558, 50968, 54014, 56213, 51109, 50902, 51665, 50296, 51109, 51086, 68323, 75115, 50973, 50866, 51034, 57147, 51109, 50965, 51665, 50296, 51109, 67855, 54278, 56213, 51109, 50902, 51665, 50296, 51109, 51176, 51109, 51086, 69558, 50968, 54014, 53077, 51109, 50902, 51665, 50296, 51109, 51176, 51109, 51086, 75115, 50973, 50866, 51034, 55602, 51109, 50902, 51665, 50296, 51109, 67855, 54278, 53771, 51134, 51028, 51665, 50296, 51109, 51027, 51109, 51040, 69558, 50968, 54014, 50973, 51665, 50296, 51109, 51086, 68323, 75115, 53077, 69215, 50866, 51034, 55343, 51109, 51027, 51397, 51040, 51397, 50877, 51397, 51028, 51397, 50968, 51397 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 11926, 6, 4246, 10, 13305, 6, 930, 2233, 6, 8, 38668, 22052, 4, 20, 2125, 16, 11, 274, 538, 6, 34, 10, 7212, 20889, 9, 7694, 741, 1685, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 1918, 6, 272, 37152, 6, 274, 119, 1176, 406, 6, 8, 163, 119, 406, 428, 245, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50796, 66513, 50915, 57118, 50981, 50417, 51687, 57933, 51719, 50915, 50423, 51249, 55382, 51457, 50915, 59584, 50981, 50429, 51980, 57173, 52948, 50915, 50435, 52287, 54975, 54310, 50915, 69575, 77052, 56822, 51397, 50444, 59969, 51115, 50447, 64746, 69204, 50655, 50342, 51203, 50661, 50354, 51363, 50459, 50624, 51303, 50810, 57118, 50844, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 79311, 53075, 66527, 51410, 57173, 52932, 50845, 50661, 50338, 53913, 52287, 50845, 51687, 51047, 65489, 51047, 66076, 55200, 51981, 50845, 51249, 51115, 64495, 54058, 51825, 50845, 52109, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 50799, 51457, 50845, 51410, 50915, 51303, 50915, 51249, 50915, 51327, 50915, 61372, 50915, 59584, 55041, 51457, 50845, 59584, 53770, 51476, 50915, 51687, 50915, 51231, 50915, 51414, 50915, 51457, 51047, 57054, 50915, 59584, 64488, 52303, 51047, 51410, 51047, 51303, 51047, 51249, 51047, 64724, 69600, 51303, 50915, 57118, 50981, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 79311, 53075, 66527, 51410, 57173, 51981, 50845, 64495, 53913, 51825, 50845, 51687, 50915, 51231, 50915, 52326, 51047, 55500, 51047, 64258, 55200, 51980, 50845, 69255, 54058, 51457, 50845, 51476, 50915, 51719, 50915, 59584, 54771, 51327, 50845, 58997, 50892, 72412, 50915, 51231, 51047, 51414, 51047, 55464, 50915, 61532, 67568, 51410, 55382, 53075, 50915, 55825, 57173, 51410, 54975, 51457, 50845, 54369, 50915, 51231, 50915, 67348, 50915, 59584, 55200, 51327, 50845, 58997, 54058, 51327, 51203, 56139, 50915, 51719, 50915, 65489, 50915, 58997, 51363, 50459, 51303, 50810, 57118, 50844, 74149, 50915, 55285, 51047, 64724, 51047, 61532, 50981, 50418, 52326, 51397, 50422, 51303, 72038, 51249, 50845, 56318, 54100, 51414, 50845, 61532, 53913, 51249, 50915, 51327, 50915, 53248, 51047, 51687, 51047, 57054, 51047, 58997, 57105, 51414, 50845, 56139, 50915, 51719, 50915, 61532, 54771, 51327, 50845, 58997, 50892, 50799, 51457, 50915, 53655, 51047, 61372, 51047, 59584, 50981, 50418, 52326, 51397, 50422, 51303, 72038, 51825, 50845, 64258, 54100, 51981, 50845, 64495, 53913, 52287, 51115, 54369, 51047, 67348, 51047, 66076, 51310, 50444, 51410, 50845, 51231, 70703, 52102, 57414, 51981, 50845, 64495, 50892, 50799, 52948, 50915, 53655, 51047, 61372, 51047, 71908, 60115, 52326, 66527, 51719, 50915, 52948, 50915, 71908, 56692, 53001, 50845, 56139, 51047, 65489, 51047, 50661, 50336, 55200, 52948, 50845, 52303, 51115, 71908, 54058, 51825, 50845, 51719, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 50799, 52109, 50915, 51825, 50915, 56397, 51047, 67791, 51047, 64258, 60115, 54872, 66527, 52109, 50845, 63810, 54100, 51980, 50845, 69255, 53913, 51825, 50845, 51476, 50915, 51231, 50915, 51414, 50915, 57054, 51047, 64258, 55200, 51980, 50845, 69255, 54058, 52109, 50820, 51249, 50810, 52303, 50845, 51465, 50845, 63810, 57399, 51457, 51043, 59584, 51233, 50453, 51231, 52863, 51410, 50845, 51687, 50845, 51719, 59097, 51457, 50820, 59584, 56842, 51327, 50820, 58997, 50834, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 51310, 50418, 53075, 51397, 50422, 51410, 72038, 51303, 57173, 52932, 50845, 50661, 50338, 53913, 52287, 50845, 56139, 51047, 65489, 51047, 66076, 55200, 51981, 50845, 52303, 51115, 64495, 54058, 51825, 50845, 51231, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 50799, 51457, 50845, 51410, 50915, 51303, 50915, 51249, 50915, 51327, 50915, 61372, 50915, 59584, 55041, 51457, 50845, 59584, 53770, 51414, 50845, 51476, 50915, 51687, 50915, 51231, 50915, 51457, 51452, 57054, 50915, 59584, 51742, 50432, 51249, 53264, 52303, 50915, 51410, 50915, 51303, 50915, 51249, 50915, 64724, 55247, 51410, 50915, 51687, 50915, 51249, 50915, 66451, 57414, 51303, 50845, 57118, 50892, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 79311, 52326, 66527, 51410, 57173, 51825, 50820, 64258, 58685, 52948, 50820, 71908, 56512, 51981, 50878, 64495, 59577, 51825, 50845, 52326, 50915, 51687, 50915, 51231, 50915, 75154, 50915, 64258, 55200, 51980, 50845, 69255, 54058, 51457, 51203, 51476, 50915, 51719, 50915, 61372, 50915, 59584, 51363, 50459, 51327, 50810, 58997, 50844, 72412, 50915, 51414, 50915, 63995, 50915, 61532, 60115, 51231, 50845, 51410, 55382, 51457, 50845, 53075, 50915, 51231, 50915, 66451, 50915, 59584, 54100, 51327, 50845, 51410, 50915, 58997, 53913, 51327, 50845, 54369, 50915, 51231, 50915, 67348, 50915, 58997, 55200, 51414, 50845, 61532, 54058, 51414, 51203, 56139, 50915, 51719, 50915, 65489, 50915, 61532, 51363, 50453, 52102, 52863, 51476, 59097, 51303, 50810, 57118, 50844, 74149, 50915, 53655, 51047, 61372, 51047, 61532, 50981, 50418, 52326, 51397, 50422, 51303, 72038, 51249, 50845, 56318, 54100, 51414, 50845, 61532, 53913, 51249, 50915, 51327, 50915, 53248, 51047, 51687, 51047, 57054, 51047, 58997, 57105, 51414, 50845, 56139, 50915, 51719, 50915, 61532, 54771, 51327, 50845, 58997, 50892, 50799, 51457, 50915, 53655, 51047, 64724, 51047, 59584, 60115, 52326, 66527, 51825, 50845, 64258, 54100, 51981, 50845, 64495, 53913, 52287, 50915, 54369, 51047, 67348, 51047, 66076, 59242, 51410, 53562, 52932, 50845, 52102, 50915, 50661, 50338, 54771, 51981, 50845, 64495, 50892, 50799, 51825, 50845, 53655, 51047, 61372, 51047, 64258, 55041, 52326, 50845, 51414, 50845, 61532, 53770, 51465, 50820, 51981, 50845, 52571, 50915, 64495, 74168, 51303, 69558, 51651, 50845, 51825, 50845, 64258, 53913, 51476, 50845, 51414, 50845, 57054, 50845, 61532, 55200, 51410, 50845, 51687, 50845, 51231, 50845, 61372, 50845, 55076, 54058, 52102, 50845, 51414, 50845, 67791, 50845, 61532, 54771, 51476, 50845, 51249, 50845, 57054, 50845, 56318, 50892, 61323, 50915, 51410, 50915, 51303, 50915, 51414, 51115, 61532, 79311, 55285, 51452, 64724, 72270, 51410, 72816, 51231, 50915, 55076, 59242, 51825, 50845, 64258, 54058, 51414, 50813, 61532, 66056, 51327, 50813, 58997, 61192, 51414, 50813, 61532, 54199, 51249, 50810, 56318, 56569, 51414, 50810, 61532, 50844, 50799, 53075, 51115, 53001, 51714, 66451, 51115, 50661, 50336, 52071, 50420, 51476, 66527, 51687, 57173, 54872, 51452, 74636, 51452, 50438, 51231, 50845, 51410, 63897, 51719, 53562, 51303, 65421, 51981, 50810, 64495, 54194, 51825, 50810, 64258, 56569, 51980, 50810, 69255, 50844, 72412, 51047, 51825, 51047, 63995, 51047, 64258, 67568, 52303, 66527, 51410, 57173, 51303, 53264, 52303, 51047, 51465, 51047, 57054, 63897, 51651, 53562, 51414, 50813, 51231, 50915, 61532, 66056, 51327, 50813, 58997, 61192, 51414, 50813, 61532, 54199, 51249, 50810, 56318, 56569, 51414, 50810, 61532, 50844, 50799, 53001, 51115, 53075, 51047, 66451, 51047, 50661, 50336, 79311, 51476, 66527, 51687, 57173, 52932, 50845, 50661, 50338, 53913, 53001, 50845, 51231, 50915, 54872, 51047, 51410, 51047, 64724, 51047, 50661, 50336, 55200, 51981, 50845, 64495, 54058, 51825, 50845, 51719, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 72412, 51047, 51825, 51714, 76669, 51047, 64258, 52071, 50420, 51410, 66527, 51231, 57173, 51414, 53264, 51303, 51047, 51231, 51047, 51457, 51047, 65489, 51047, 50456, 52948, 50845, 71908, 50892, 50799, 52948, 51452, 56139, 51151, 65489, 51047, 71908, 51742, 50420, 52303, 51714, 50426, 51687, 51422, 50432, 52109, 53264, 51327, 51047, 74636, 63897, 51825, 50845, 64258 ]
[ 0, 250, 765, 37903, 9, 25771, 5175, 930, 19, 10, 980, 219, 8, 5679, 26709, 2369, 18795, 6, 4246, 38668, 22052, 816, 10, 881, 230, 33215, 11, 230, 3694, 6, 278, 7, 10, 1769, 204, 73, 306, 20889, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50448, 55014, 52024, 55931, 52121, 53511, 51717, 59327, 52122, 75695, 59610, 52821, 50447, 50702, 50273, 54217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 2125, 19, 4785, 9, 1365, 6288, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 18569, 6, 6755, 12547, 6, 21979, 8669, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 8787, 15229, 11498, 10, 38451, 3938, 20889, 1328, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50415, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50423, 51299, 51411, 69816, 50427, 51154, 51310, 51113, 51310, 50872, 51073, 50434, 51299, 51411, 50850, 61148, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50446, 51299, 51411, 50850, 66039, 51154, 50981, 51113, 50981, 50872, 51073, 50458, 51299, 50955, 61302, 50461, 53749, 51541, 51887, 51541, 50885, 51047, 50799, 51887, 51294, 50421, 51299, 51411, 69816, 50425, 51154, 51310, 51113, 51310, 50872, 51073, 50433, 51299, 51411, 69816, 50437, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 63897, 51299, 51411, 69816, 50448, 51154, 50981, 51113, 50981, 50872, 51073, 50456, 51299, 50955, 61302, 50460, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 53069, 51299, 51411, 69816, 50423, 51154, 51310, 51113, 51310, 50872, 51073, 50431, 51299, 51411, 69816, 50435, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50443, 51299, 51411, 69816, 50447, 51154, 50981, 51113, 50981, 50872, 51073, 50454, 51299, 50955, 61302, 50458, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 51809, 55841, 58297, 59320, 73354, 51153, 50824, 51299, 51411, 69816, 50422, 51154, 51310, 51113, 51310, 50872, 51073, 50428, 58498, 51029, 50429, 57571, 51029, 51299, 51411, 69816, 50430, 51435, 51029, 50433, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50441, 51299, 51411, 69816, 50445, 51154, 50981, 51113, 50981, 50872, 51073, 50446, 59767, 61443, 56917, 73422, 51516, 67413, 58525, 51300, 50452, 56775, 51300, 50453, 51578, 51300, 51299, 50955, 50850, 58325, 51887, 51294, 50457, 53749, 51541, 51887, 51541, 50885, 51047, 51809, 51299, 51411, 69816, 50420, 51154, 51310, 51113, 51310, 50872, 69555, 58525, 51407, 50427, 56775, 51407, 50428, 51578, 51407, 51299, 51411, 50850, 69558, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50439, 51299, 51411, 69816, 50443, 51154, 50981, 51113, 50981, 50872, 51073, 50451, 51299, 50955, 61302, 50455, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50461, 58525, 51066, 50799, 56775, 51066, 51299, 51411, 69816, 50415, 51578, 51066, 50418, 51154, 51310, 51113, 51310, 50419, 50872, 69555, 56775, 51072, 58525, 51072, 51299, 51411, 69816, 50427, 51578, 51072, 50430, 52241, 51362, 51887, 51391, 52143, 51362, 75714, 50436, 68478, 51072, 50437, 58828, 65031, 51948, 51072, 51299, 51411, 78757, 50442, 51154, 50892, 51113, 57076, 50879, 50448, 59767, 51300, 51299, 50987, 51301, 50987, 50868, 64202, 50924, 66738, 50449, 56917, 51300, 51699, 50955, 50868, 56060, 51516, 51300, 50453, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50461, 51699, 51411, 69014, 52177, 51299, 51310, 51301, 51310, 50885, 51073, 50423, 59767, 51407, 50424, 56917, 51407, 51699, 51411, 69014, 50425, 51516, 51407, 50428, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51047, 50436, 51699, 51411, 69014, 50440, 51299, 50981, 51301, 50981, 50885, 51073, 50448, 51699, 50955, 59227, 50452, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50459, 51699, 51411, 69014, 51601, 51299, 51310, 51301, 51310, 50885, 51073, 50421, 59320, 50975, 55841, 73129, 51153, 74377, 51699, 51411, 69014, 50427, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51047, 50428, 59767, 67270, 56917, 50993, 50430, 51516, 50993, 50434, 51699, 51411, 69014, 50436, 58525, 50993, 50437, 56775, 61445, 51578, 50993, 51299, 50981, 51301, 50981, 50885, 51073, 50444, 68478, 51300, 50445, 58828, 51300, 50446, 51948, 51300, 51699, 50955, 50868, 56060, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50457, 69014, 50458, 51699, 51411, 50461, 51299, 51310, 51301, 51310, 50885, 51073, 52591, 68478, 51352, 50421, 58828, 51352, 51699, 51411, 69014, 50422, 51948, 51352, 50425, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51047, 50433, 51699, 51411, 69014, 50437, 51299, 50981, 51301, 50981, 50885, 51073, 50444, 51699, 50955, 59227, 50448, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50455, 68478, 61828, 58828, 50993, 51699, 51411, 69014, 50457, 51948, 50993, 50460, 51299, 51310, 51301, 51310, 50885, 51073, 52478, 68478, 50824, 50419, 58828, 50824, 51699, 51411, 69014, 50420, 51948, 64381, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51397, 50430, 65702, 51072, 50431, 55841, 51072, 51699, 51411, 69014, 50432, 51837, 51072, 50435, 51299, 51233, 51301, 51233, 50885, 51215, 50441, 58525, 51300, 50442, 56775, 51300, 50443, 51578, 51300, 51699, 50834, 51299, 50955, 79250, 50868, 58875, 50878, 50872, 65554, 54803, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50454, 51299, 51411, 69816, 50458, 51154, 51310, 51113, 51310, 50872, 51073, 51809, 58525, 51352, 50417, 56775, 51352, 50418, 51578, 51352, 51299, 51411, 69816, 50422, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50429, 51299, 51411, 69816, 50433, 51154, 50981, 51113, 50981, 50872, 51073, 50441, 51299, 50955, 61302, 50445, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50452, 58525, 71935, 56775, 50993, 51299, 51411, 69816, 50454, 51578, 61828, 50872, 51073, 50457, 51154, 51310, 51113, 51310, 51601, 58525, 50824, 50416, 56775, 50824, 51299, 51411, 69816, 50417, 51578, 54226, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51397, 50427, 68478, 51066, 50428, 58828, 51066, 51299, 51411, 69816, 50429, 51948, 63284, 51154, 51411, 51113, 51411, 50872, 51345, 50438, 65702, 51300, 50439, 55841, 51300, 51299, 50844, 55119, 50440, 51837, 51300, 50442, 51883, 50834, 51251, 50834, 51154, 60660, 66307, 73615, 58780, 52607, 51541, 52371, 51294, 52371, 51541, 50946, 51047, 50451, 51883, 51411, 79934, 50455, 51251, 51310, 51154, 51310, 50848, 51073, 50461, 55841, 51352, 65702, 51352, 50799, 51837, 51352, 50415, 51883, 51411, 79934, 50418, 51875, 51362, 52371, 51391, 53215, 51362, 50946, 62479, 51883, 51411, 79934, 50430, 51251, 50981, 51154, 50981, 50848, 69052, 51883, 50955, 61232, 50442, 52607, 51541, 52371, 51294, 52371, 51541, 50946, 51047, 50449, 55841, 50993, 65702, 50993, 51883, 51411, 50944, 66039, 51837, 71935, 51251, 51310, 51491, 51310, 50885, 51073, 50460, 65702, 73300, 55841, 50824, 51883, 51411, 50944, 51109, 50799, 51837, 58297, 51875, 51362, 52371, 51391, 53215, 51362, 50946, 51047, 50423, 50745, 50330, 51066, 50424, 56913, 51066, 51883, 51411, 50944, 51109, 50425, 52353, 51066, 50428, 51251, 51312, 51491, 51312, 50885, 51073, 50435, 65702, 51029, 50436, 55841, 51029, 51883, 50955, 50944, 61868, 51837, 80261, 50939, 62047, 53973, 51541, 51251, 50834, 51088, 50834, 51165, 50834, 51699, 51294, 51699, 51541, 50848, 51047, 50448, 51251, 51411, 50939, 51109, 50452, 51088, 51310, 51165, 51310, 50847, 51073, 50453, 68478, 67897, 58828, 60646, 51948, 58691, 50745, 50330, 51407, 50458, 56913, 51407, 50459, 52353, 51407, 51251, 51411, 50939, 51109, 51601, 52607, 51362, 51699, 51391, 52371, 51362, 50848, 51047, 50423, 51251, 51411, 50939, 51109, 50427, 51088, 50981, 51165, 50981, 50847, 51073, 50434, 51251, 50955, 50939, 55467, 53973, 51541, 51699, 51294, 51699, 51541, 50848, 51047, 50445, 50745, 50330, 51072, 50446, 56913, 51072, 51251, 51411, 50939, 51109, 50447, 52353, 63758, 51088, 51310, 51165, 51310, 50847, 51073, 50456, 65702, 50824, 50457, 55841, 79263, 51837, 50824, 51251, 51411, 50939 ]
[ 0, 4688, 14899, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 41, 21979, 9590, 6, 3459, 8669, 6, 20535, 483, 6, 13305, 6, 8, 21072, 4, 20, 2125, 16, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15900, 163, 5683, 4, 20, 16331, 33215, 16739, 9, 211, 6, 3676, 6, 230, 6, 211, 6, 8, 3676, 17992, 7, 5, 1349, 18, 33928, 6, 20425, 6, 8, 33558, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50796, 50796, 72965, 54438, 54611, 51068, 50862, 52389, 50942, 51068, 53031, 51068, 50862, 51450, 62450, 54394, 51068, 53938, 50798, 58738, 54232, 51068, 50862, 54389, 51006, 51355, 54438, 53330, 50904, 50415, 51206, 62227, 51355, 50904, 51842, 50420, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 55181, 55946, 51355, 55181, 53901, 51216, 51254, 51536, 55759, 50942, 53884, 74052, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50837, 51355, 55181, 56000, 51250, 54220, 53894, 51216, 51174, 51355, 54438, 53330, 61173, 51355, 51833, 53027, 53240, 50904, 51249, 50825, 51327, 50834, 51818, 69691, 55181, 56112, 51216, 50904, 52395, 54220, 53938, 50798, 53340, 60554, 51216, 50941, 52395, 50864, 71223, 53240, 51174, 51249, 50864, 51327, 50829, 51818, 51750, 50862, 51621, 50862, 53202, 51006, 51355, 54897, 53330, 62399, 51355, 50904, 51842, 50420, 51793, 51174, 51303, 50864, 51249, 50864, 51327, 50904, 51355, 55181, 55946, 51355, 54220, 53901, 51140, 51006, 51536, 55759, 50942, 53884, 74052, 51793, 51174, 51303, 50886, 51249, 50864, 51327, 50827, 51355, 55181, 56000, 51250, 55181, 53894, 51098, 51006, 51355, 54897, 53330, 61173, 51355, 50904, 76552, 52078, 50904, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 55181, 56112, 51098, 50864, 51630, 55181, 53938, 50798, 53340, 60554, 51098, 50864, 51630, 50851, 71223, 52078, 51174, 51231, 50886, 51672, 50874, 51457, 54225, 50862, 51621, 50862, 54389, 51006, 51355, 54438, 53330, 62399, 51355, 50904, 51842, 50420, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50864, 51355, 55181, 55946, 51355, 55181, 53901, 51216, 51174, 51536, 55759, 50942, 53884, 74052, 53240, 51174, 51249, 50904, 51327, 50867, 51818, 50864, 51355, 55181, 56000, 51250, 54220, 53894, 51216, 51254, 51355, 54438, 53330, 61173, 51355, 51833, 53027, 53240, 50864, 51249, 50864, 51327, 50867, 51818, 50864, 51355, 55181, 56112, 51216, 50941, 52395, 54220, 53938, 50798, 53340, 60554, 51216, 50941, 52395, 50864, 71223, 53240, 51006, 51249, 50864, 51327, 50867, 51818, 55316, 50862, 51621, 50862, 53202, 51006, 51355, 54897, 53330, 62399, 51355, 50904, 51842, 50420, 51793, 51254, 51303, 50886, 51249, 50864, 51327, 50904, 51355, 55181, 55946, 51355, 54220, 53901, 51140, 51058, 51536, 55759, 50942, 53884, 74052, 51793, 51174, 51303, 50886, 51249, 50886, 51327, 69691, 55181, 56000, 51250, 55181, 53894, 51098, 51006, 51355, 54897, 53330, 61173, 51355, 50904, 76552, 52078, 50904, 51231, 50864, 51672, 50904, 51457, 50904, 51355, 55181, 56112, 51098, 50864, 51630, 55181, 53938, 50798, 53340, 60554, 51098, 50864, 51630, 50851, 71223, 52078, 51006, 51231, 50886, 51672, 50874, 51457, 54225, 50862, 51621, 50862, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 57559, 51355, 54317, 53986, 51043, 51216, 51254, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50837, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51174, 51355, 54438, 62079, 51355, 53114, 51793, 50904, 51303, 50886, 51249, 50825, 51327, 50834, 51355, 57291, 51140, 50904, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51174, 51303, 50835, 51249, 50864, 51327, 50829, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51174, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51006, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50864, 51457, 50827, 51355, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57291, 51098, 50864, 51630, 54915, 50798, 58186, 51098, 50864, 51630, 54622, 52078, 51174, 51231, 50886, 51672, 50874, 51457, 50827, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50864, 51355, 57559, 51355, 54317, 53986, 51233, 51216, 51174, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50867, 51818, 50864, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51254, 51355, 54438, 62079, 51355, 53114, 51793, 50864, 51303, 50864, 51249, 50864, 51327, 50867, 51355, 57291, 51140, 50941, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51006, 51303, 50886, 51249, 50864, 51327, 50867, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51254, 51231, 50886, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51058, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50886, 51457, 69691, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50904, 51457, 50904, 51355, 54284, 51098, 50864, 51630, 54915, 50798, 58186, 51098, 50864, 51630, 54622, 52078, 51006, 51231, 50886, 51672, 50874, 51457, 50827, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 57559, 51355, 54317, 53986, 51043, 51216, 51254, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50837, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51174, 51355, 54438, 62079, 51355, 53114, 51793, 50904, 51303, 50886, 51249, 50825, 51327, 50834, 51355, 57291, 51140, 50904, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51174, 51303, 50835, 51249, 50864, 51327, 50829, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51174, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51006, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50864, 51457, 50827, 51355, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57291, 51098, 50864, 51630, 54915, 50798, 58186, 51098, 50864, 51630, 54622, 52078, 51174, 51231, 50886, 51672, 50874, 51457, 50827, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50864, 51355, 57559, 51355, 54317, 53986, 51233, 51216, 51174, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50867, 51818, 50864, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51254, 51355, 54438, 62079, 51355, 53114, 51793, 50864, 51303, 50864, 51249, 50864, 51327, 50867, 51355, 57291, 51140, 50941, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51006, 51303, 50886, 51249, 50864, 51327, 50867, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51254, 51231, 50886, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51058, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50886, 51457, 69691, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50904, 51457, 50904, 62325, 69691, 57291, 51098, 50864, 51630, 54915, 66840, 58695, 58186, 51098, 50864, 51630, 54622, 52078, 51006, 51231, 50886, 51672, 50874, 51457, 50827, 76862, 51142, 54389, 51006, 62325, 50810, 51355, 54438, 53330, 59105, 50971, 50415, 51206, 62227, 51355, 55181, 52497, 53420, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 50904, 59208, 56133, 62325, 69691, 50904, 59208, 53383, 51216, 51254, 51536, 55759, 57990, 50933, 54958, 50996, 50971, 51532, 52497, 53575 ]
[ 0, 250, 3152, 2214, 19, 10, 7212, 20889, 6, 42, 20425, 8, 15352, 30054, 15229, 16, 278, 11, 5, 762, 9, 83, 3694, 8, 1575, 10, 195, 73, 306, 86, 6543, 4, 11281, 25654, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 15352, 30054, 7, 4339, 283, 561, 7, 1045, 10, 6878, 2369, 14, 17172, 3423, 9, 11098, 8, 15073, 4, 20, 33215, 16739, 9, 274, 10431, 119, 406, 6, 163, 6, 274, 10431, 119, 406, 6, 272, 401, 6, 8, 230, 401, 3639, 7, 63, 13363, 28191, 2868, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56355, 50630, 53867, 55573, 53867, 55081, 53867, 54935, 53867, 59184, 53867, 55092, 53867, 54400, 53867, 53798, 53867, 54178, 53867, 50823, 50462, 53867, 50823, 50468, 53867, 50840, 50471, 53867, 50811, 56355, 53867, 55573, 53867, 55081, 53867, 54935, 53867, 59184, 53867, 55092, 53867, 54400, 53867, 53798, 53867, 54178, 53867, 50823, 50462, 53867, 50823, 50468, 53867, 50840, 50471, 53867, 50811, 56355, 51720, 50823, 51854, 53898, 51854, 53898, 54338, 53898, 54338, 53898, 50804, 52885, 52302, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 65440, 53885, 51720, 52865, 66155, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 51670, 50895, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 52529, 53898, 52529, 53898, 56513, 53898, 56513, 53898, 50804, 71791, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 52279, 51135, 53885, 51720, 52865, 66155, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 51670, 50895, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 51849, 51685, 51849, 51685, 54111, 51685, 54111, 51685, 50804, 71791, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 52279, 59252, 51720, 50823, 51529, 51685, 51529, 51685, 53964, 51685, 53964, 51685, 61394, 53595, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 51670, 50895, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 51344, 53898, 51344, 53898, 52341, 53898, 52341, 53898, 50804, 71791, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 65440, 53885, 51720, 52865, 66155, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 52279, 50895, 50470, 50804, 50817, 50471, 51415, 52279, 50895, 50472, 50804, 50817, 56355, 51720, 50823, 51854, 53898, 51854, 53898, 54338, 53898, 54338, 53898, 50798, 52885, 52302, 51415, 51670, 53578, 51720, 52865, 52885, 54396, 51720, 52865, 53498, 56356, 51720, 52865, 51663, 54129, 51415, 51670, 51663, 53885, 51720, 52865, 51663, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 51415, 51670, 53498, 50817, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 52529, 53898, 52529, 53898, 56513, 53898, 56513, 53898, 50804, 77876, 51415, 52279, 51663, 53578, 51720, 52466, 52630, 50856, 54396, 51720, 52466, 52265, 50856, 53785, 51720, 52466, 52676, 50804, 51663, 54129, 51415, 51670, 52267, 51720, 52865, 51663, 53851, 50798, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 50768, 50302, 50817, 51415, 50811, 50470, 50768, 50302, 50883, 50471, 58601, 50817, 51415, 50811, 50472, 58601, 50883, 56355, 51720, 50823, 51849, 51685, 51849, 51685, 54111, 51685, 54111, 74541, 52885, 52302, 51415, 51670, 53578, 51720, 52865, 52885, 54396, 51720, 52865, 53498, 56356, 51720, 52865, 51663, 54129, 51415, 51670, 51663, 53885, 51720, 50823, 51529, 51685, 51529, 51685, 53964, 51685, 53964, 51685, 50804, 51663, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 51415, 51670, 53498, 50817, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 51344, 53898, 51344, 53898, 52341, 53898, 52341, 53898, 50804, 77876, 51415, 52279, 51663, 53578, 51720, 52466, 52630, 50856, 54396, 51720, 52466, 52265, 50856, 53785, 51720, 52466, 52676, 50804, 51663, 54129, 51415, 51670, 52267, 51720, 52865, 51663, 53851, 50798, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 50768, 50302, 50817, 51415, 50811, 50470, 50768, 50302, 50883, 50471, 58601, 50817, 51415, 50811, 50472, 58601, 50883, 56355, 69124, 51344, 53898, 51344, 53898, 52341, 53898, 52341, 53898, 50798, 52885, 52302, 51205, 53662, 53578, 50945, 56764, 51663, 54396, 50945, 56764, 51663, 53785, 50945, 56764, 51663, 54129, 51205, 53662, 51663, 53885, 50945, 56764, 52885, 52568, 50945, 56764, 52885, 52193, 50945, 56764, 67958, 50462, 50945, 56764, 67958, 50468, 51205, 53662, 50895, 50471, 51205, 53662, 50817, 56355, 50945, 53662, 55498, 51402, 64634, 50945, 56728, 55498, 51544, 51258, 50429, 50945, 56728, 55498, 51361, 73716, 50945, 56728, 55498, 51570, 68466, 50945, 56728, 76275, 50823, 52320, 54088, 50453, 50945, 56728, 51759, 50823, 51453, 54088, 50459, 50945, 56728, 51759, 50823, 69847, 54088, 50465, 50945, 56728, 51759, 50823, 50468, 50791, 64880, 51474, 50480, 73252, 51222, 50821, 51222, 52997, 50933, 50482, 51011, 52997, 50942, 50483, 51222, 50821, 51222, 50821, 51540, 69364, 51473, 50936, 51473, 55404, 77870, 71501, 51511, 50936, 51511, 55404, 66010, 65609, 51046, 50936, 51046, 55404, 67772, 51415, 59945, 50936, 51329, 55404, 76622, 52022, 50806, 51548, 50936, 51548, 55404, 67367, 51271, 50806, 75837, 51075, 55404, 65399, 51817, 50806, 51219, 50936, 51219, 55404, 65651, 52646, 50806, 51529, 50936, 51529, 55404, 50976, 50462, 53926, 50806, 51849, 50936, 51849, 55404, 51173, 50468, 52657, 50806, 51288, 50936, 51288, 55404, 50976, 50474, 53926, 50806, 51849, 50936, 51849, 55404, 51173, 50480, 51817, 50806, 51219, 50936, 51219, 55404, 50976, 51540, 51720, 53898, 51344, 51469, 51344, 71062, 52885, 54514, 51696, 50466, 50804, 50827, 50468, 51720, 50806, 51344, 50936, 51344, 55404, 50976, 50474, 51817, 50806, 51219, 50936, 51219, 55404, 51173, 50480, 70188, 51143, 50936, 51143, 55404, 50860, 50484, 50804, 50827, 51540, 51415, 50936, 51329, 50936, 51329, 55404, 50940, 57493, 51977, 50444, 52018, 50821, 79762, 51211, 52997, 70089, 52018, 50806, 72549, 51211, 52420, 50940, 51382, 60111, 51720, 50821, 51344, 50821, 51344, 52997, 57830, 52018, 50806, 51211, 50936, 51211, 55404, 50976, 50462, 51720, 50806, 51344, 50936, 51344, 55404, 51173, 50468, 51817, 50806, 51219, 50936, 51219, 55404, 50976, 50474, 51271, 50806, 75837, 51075, 55404, 51173, 50480, 70188, 51143, 50936, 51143, 55404, 50976, 51540, 51415, 54089, 51329, 54089, 51329, 54089, 50798, 52885, 52737, 50462, 50635, 56540, 50821, 51075, 50821, 51075, 52589, 52885, 58297, 51271, 50821, 51075, 50821, 51075, 53113, 51415, 50821, 51329, 50821, 51329, 54007, 51271, 50821, 51075, 50821, 51075, 52422, 51415, 50821, 51329, 50821, 51329, 52997, 51695, 51227, 50429, 73252, 56996, 51046, 52686, 65609, 54401, 54401, 51556, 54088, 50438, 51213, 51196, 51473, 51196, 51473, 73648, 51173, 52129, 50823, 51618, 54088, 51382, 51695, 51227, 51621, 54088, 56540, 50821, 51075, 50821, 51075, 52589, 51695, 51173, 50417, 51271, 50821, 51075, 50821, 51075, 53113, 51415, 50821, 51329, 50821, 51329, 52589, 65605, 51271, 50821, 51075, 50821, 51075, 52589, 51135, 54088, 50426, 51415, 50821, 51329, 50821, 51329, 52997, 51695, 51173, 50429, 73252, 56996, 51046, 52686, 69364, 51473, 50806, 51473, 52090, 50823, 51556, 54088, 56903, 51160, 51278, 51160, 51278, 51160, 50843, 51173, 52129, 59981, 51213, 51160, 51473, 51160, 51473, 63576, 54088, 51382, 51695, 75581, 71110, 72452, 72452, 51621, 54088, 56540, 50821, 51075, 50821, 51075, 55307, 51173, 50417, 51271, 50821, 51075, 50821, 51075, 53113, 51415, 50821, 51329, 50821, 51329, 52589, 60134, 51271, 50821, 51075, 50821, 51075 ]
[ 0, 250, 8787, 5175, 15229, 11, 211, 538, 6, 5378, 16364, 19, 1007, 8, 13363, 28191, 34879, 6, 150, 67, 16105, 20292, 23225, 6, 2905, 10686, 25, 10, 19834, 2125, 4, 85, 11498, 10, 23667, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 6, 19, 10, 33215, 13931, 9, 230, 6, 230, 10431, 6, 230, 37152, 6, 274, 10431, 6, 8, 230, 37152, 442, 10, 4315, 2772, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 54734, 62119, 66898, 51324, 66898, 51086, 66898, 50899, 66898, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 80019, 71620, 51214, 71620, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 52163, 51247, 51123, 54734, 62119, 55856, 51086, 55856, 51324, 55856, 50899, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 80019, 71620, 51086, 55856, 50899, 55856, 51214, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 52163, 51247, 54863, 51247, 50874, 54734, 62119, 71620, 51324, 55856, 51086, 55856, 50899, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 80019, 55856, 51086, 55856, 50899, 55856, 51214, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 52163, 51247, 51123, 54734, 80222, 55856, 50989, 55856, 51324, 55856, 50899, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 67125, 55856, 51040, 55856, 50989, 55856, 51966, 55856, 50796, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 52325, 51247, 51123, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 52325, 51247, 54863, 51247, 50874, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 52325, 51247, 51123, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52030, 51086, 55380, 51086, 53532, 51086, 50802, 52591, 51086, 52030, 51086, 55380, 51086, 53532, 51086, 50802, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51247, 51123, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51247, 50821, 51324, 57651, 51247, 50874, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 57366, 50871, 52815, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51247, 51123, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 50871, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 50871, 53743, 51086, 59237, 55118, 51324, 54276, 50871, 55680, 50871, 75008, 52325, 51324, 50854, 54578, 53728, 51324, 59844, 50810, 51086, 52038, 50871, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 50871, 57366, 50871, 52815, 51086, 59237, 50822, 51339, 53658, 51324, 54276, 50871, 55680, 50871, 75008, 52325, 51324, 50854, 51339, 50795, 54734, 59237, 53728, 51324, 59844, 50810, 58383, 51086, 77277, 51631, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 51514, 50333, 53505, 50973, 54362, 51247, 59237, 53743, 51086, 59237, 50822, 51339, 53658, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 51339, 54093, 51120, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 58383, 51086, 77277, 51631, 51247, 59237, 55396 ]
[ 0, 250, 2635, 12, 20764, 3495, 2214, 14, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 6, 1969, 13, 10, 822, 19834, 4, 20, 13305, 8, 21979, 8669, 185, 5, 483, 6, 7513, 30, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 83, 6, 211, 6, 272, 119, 1176, 406, 6, 211, 6, 8, 272, 119, 4, 20, 1374, 6711, 16, 65, 9, 657, 8, 11098, 6, 442, 24, 41, 5631, 2031, 13, 10, 1144, 26016, 1310, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50796, 74491, 52500, 53160, 74905, 50847, 73019, 51277, 59812, 54879, 54342, 51042, 58507, 75120, 50850, 57847, 72438, 51042, 51101, 50847, 68465, 50935, 57053, 66913, 50847, 73019, 51277, 58282, 51148, 51171, 51293, 57783, 50995, 50946, 58187, 50850, 54777, 74504, 77111, 50438, 50909, 51233, 50868, 76097, 51171, 51141, 50885, 51477, 50450, 58285, 69350, 74491, 51469, 53160, 51353, 51678, 52821, 50420, 50951, 55990, 67045, 65785, 50999, 57954, 54879, 68181, 50951, 69297, 51212, 73303, 50438, 50999, 54180, 58176, 67367, 50951, 69297, 51277, 65104, 50450, 51220, 57172, 62491, 68464, 50951, 51100, 51042, 50978, 74300, 58282, 51313, 51171, 53090, 50419, 51656, 51158, 58060, 51073, 65131, 50946, 51714, 50425, 52187, 63559, 50999, 55541, 50901, 50431, 52033, 51124, 52091, 51803, 71625, 65675, 51591, 50885, 51452, 50438, 51062, 50918, 51711, 50918, 50909, 51183, 50868, 51077, 50451, 52457, 55982, 52832, 50980, 50799, 55822, 50859, 52187, 53002, 53160, 52500, 52016, 53002, 50417, 52457, 51356, 50420, 50988, 51101, 50988, 51177, 57189, 51141, 50848, 70303, 50988, 51283, 50988, 51477, 50438, 68973, 68973, 50444, 70531, 50847, 63589, 51652, 56304, 67083, 62034, 51667, 50894, 51042, 51101, 51042, 51177, 50459, 51643, 51021, 74491, 52500, 53160, 52500, 50417, 52135, 51407, 50420, 69433, 50988, 58299, 77649, 50872, 69879, 59769, 50848, 53912, 50850, 55792, 53969, 50872, 57076, 53562, 50848, 67083, 51101, 50455, 51667, 58133, 51042, 51101, 51042, 51177, 50458, 51652, 63604, 51667, 50806, 57732, 52500, 51332, 52500, 50420, 51667, 51354, 50988, 51192, 50988, 51192, 59812, 50995, 64804, 50428, 51652, 50940, 50431, 51667, 52309, 50988, 51115, 50988, 51295, 50437, 52135, 72328, 50850, 56678, 51918, 78657, 50847, 70447, 50885, 51109, 50885, 51267, 50455, 51652, 68179, 50988, 61364, 50901, 50799, 52376, 50858, 51332, 51469, 51332, 51469, 50416, 52457, 60208, 52832, 77396, 50988, 51101, 50988, 51177, 59812, 51109, 50885, 51267, 50432, 50988, 51115, 50988, 72600, 50850, 79905, 50443, 52376, 63523, 71766, 50847, 65223, 50885, 51025, 50885, 51400, 50454, 52376, 52935, 50988, 67933, 69810, 51652, 50940, 50799, 52522, 50896, 51171, 51264, 51171, 63560, 50946, 51196, 50946, 63492, 50944, 50896, 50944, 55224, 52522, 59050, 51242, 50885, 51212, 50435, 52522, 56341, 52522, 51192, 68973, 68973, 50444, 50944, 73906, 51177, 50447, 51652, 51460, 50450, 50885, 51109, 50885, 51267, 50456, 51667, 60772, 59324, 50901, 50799, 52522, 51624, 50294, 51714, 51171, 52069, 50419, 52457, 54718, 50946, 51623, 50946, 51623, 50423, 52832, 52097, 50426, 50944, 51226, 50944, 51226, 50432, 50885, 57245, 53913, 50850, 51160, 50850, 72040, 50944, 60439, 54058, 50885, 51267, 50885, 51056, 50455, 55822, 54647, 50946, 59157, 67164, 55822, 50809, 50799, 52457, 50809, 53160, 51469, 53160, 51469, 50415, 52376, 56763, 52457, 50962, 50988, 51116, 50988, 77950, 52457, 51460, 57189, 51446, 50848, 51446, 50432, 55822, 50948, 50988, 51226, 50988, 51226, 50437, 52376, 51573, 50438, 67474, 50850, 67367, 50847, 57885, 57197, 50848, 51141, 50848, 51141, 50453, 52522, 68750, 52376, 68065, 52457, 55416, 50988, 51177, 50988, 51121, 50799, 52457, 51336, 51171, 51264, 51171, 63560, 50946, 63382, 54243, 50944, 50889, 50944, 55112, 50885, 51452, 50885, 51790, 50438, 50850, 51077, 50850, 51077, 50456, 52457, 57308, 52832, 50921, 50799, 55822, 50821, 51838, 53501, 52187, 51732, 51615, 53002, 53160, 52500, 53160, 52500, 55156, 53501, 56376, 51732, 54601, 53002, 50417, 52457, 51343, 50420, 50988, 51101, 50988, 51177, 57189, 51141, 50848, 70303, 50988, 51283, 50988, 51477, 50438, 68973, 68973, 50444, 70531, 50847, 63589, 50848, 67083, 51101, 50453, 51652, 52884, 51042, 51101, 51042, 51177, 50457, 51667, 50803, 71756, 50976, 53160, 52500, 53160, 52500, 50420, 51667, 67845, 50915, 74962, 50425, 52135, 51527, 50426, 77649, 50872, 69879, 59769, 50848, 53912, 50850, 55792, 53969, 50872, 57076, 53562, 50848, 67083, 51101, 50452, 52135, 58403, 51667, 59349, 51042, 51101, 51042, 51177, 50458, 51652, 63604, 51667, 51573, 51615, 51300, 51711, 52097, 52225, 51300, 54601, 51300, 54486, 52097, 56276, 51300, 57732, 52500, 51332, 52500, 57783, 51318, 78007, 50426, 76416, 50868, 62118, 51667, 67506, 51177, 73303, 50435, 51652, 57880, 51615, 51336, 51838, 51527, 52187, 51527, 54601, 51336, 55156, 51527, 56376, 75362, 51667, 50821, 51791, 51336, 51791, 51356, 50441, 51652, 55885, 51042, 51124, 51042, 51116, 50447, 52135, 54526, 50848, 60871, 59827, 50847, 54667, 62533, 51652, 50821, 50799, 52376, 50895, 52033, 52097, 51615, 51300, 51711, 51527, 51688, 51469, 51688, 51469, 56852, 52097, 54601, 51300, 54486, 51527, 50415, 52457, 58767, 52832, 51552, 57783, 51115, 50885, 79642, 70531, 50847, 62109, 76775, 50868, 51295, 50437, 52033, 51388, 51711, 51192, 56852, 51388, 54486, 51192, 50438, 50850, 79905, 50443, 52187, 51060, 51881, 51158, 56376, 51060, 56586, 73374, 71766, 71766, 50449, 52457, 50883, 52770, 50883, 52133, 50879, 51656, 50893, 58084, 50879, 54837, 55260, 52376, 60947, 51025, 50885, 51400, 50455, 51652, 50860, 51615, 51173, 53541, 51158, 54601, 51173, 61228, 64713, 50988, 67933, 50806, 50461, 52332, 53435, 53389, 51795, 56302, 53435, 77030, 53435, 73935, 50976, 51171, 51264, 51171, 63560, 52522, 50921, 50946, 51196, 50946, 63492, 52522, 70533, 50896, 50944, 55224, 52522, 51066, 50885, 51242, 50885, 72759, 68973, 68973, 50443, 52522, 60815, 50944, 73906, 51177, 50449, 51652, 52610, 50885, 51109, 50885, 51267, 50455, 51615, 51158, 53541, 50976, 54601, 51158, 61228, 72333, 51667, 51029, 50946, 59324, 73894, 52133, 51795, 51656, 51795, 58084, 52392, 54837, 51795, 58282, 51714, 51171, 52069, 67653, 51623, 50946, 51623, 50425, 52522, 57078, 50944, 51226, 50944, 51226, 50431, 52457, 52686, 50885, 57245, 71648, 52832, 51343, 50438, 50850, 51160, 50850, 72040, 50944, 60439, 54058, 50885, 51267, 50885, 51056, 50455, 51711, 51158, 54486, 64713, 52832, 72470, 59157, 67164, 52376, 71154, 52376, 50803, 52187, 51655, 51881, 51184, 51615, 51184, 56376, 51655, 56586, 51655, 54601, 51184, 74491, 51469, 53160, 51469, 50417, 52457, 59217, 50988, 51116, 50988, 51116, 57189, 51446, 50848, 51446, 50432, 50988, 51226, 50988, 66564, 52457, 51014, 67474, 71419, 50443, 52457, 54952, 50847, 57885, 51003, 50446, 51652, 56812, 50848, 51141, 50848, 51141, 50456, 51667, 51021, 50988, 51177, 50988, 51121, 50461, 51881, 51184, 55430, 51145, 56586, 51184, 50714, 50294, 51145, 75799, 62988, 51538, 51171, 51538, 51171, 51538, 52016, 51655, 50415, 50946, 51538, 50885, 51422, 50885, 51692, 50944, 51538, 50416, 50944, 51538, 50850, 51538, 50850, 51538, 50432, 52457, 54496, 52457, 52952, 52457, 52313, 51652, 69389, 51667, 51160, 50455, 52135, 50806, 52563, 51795, 52135, 51029, 53160, 54055, 52016, 69795, 54226, 50988, 51116, 50988, 51116, 57189, 51446, 50848, 51446, 50843, 51527, 50430, 51667, 52686, 51652, 50890, 50988, 51318, 50988, 51310, 50434, 51652, 53435, 50438, 50973, 53177, 50318, 53177, 50323, 51090, 50847, 51077, 50847, 66336, 50876, 53177, 50322, 53177, 50325, 51090, 59769, 50848, 55069, 50988, 51203, 50988, 51255, 55331, 52017, 50951, 52017, 51220, 52017, 50953, 51184, 53160, 51469, 53160, 71062, 54226, 50988, 52311, 50988, 52827, 57189, 51446 ]
[ 0, 250, 765, 5175, 2214, 19, 15855, 16882, 6, 4246, 10, 15352, 30054, 8, 19448, 5466, 10686, 13, 822, 4, 85, 11498, 10, 23758, 3938, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 33215, 16739, 9, 163, 6, 381, 401, 6, 8, 163, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 63174, 53913, 50973, 77204, 50916, 56838, 50989, 62065, 50965, 50907, 54852, 67985, 50965, 55740, 50877, 56237, 50973, 54325, 51028, 60137, 50902, 55100, 50968, 57815, 51028, 56006, 61825, 51114, 74244, 50965, 60466, 50877, 58068, 50973, 56881, 61825, 50453, 50965, 50907, 50973, 60004, 61825, 51028, 72037, 69550, 51001, 51123, 57190, 50984, 50968, 51123, 50417, 50989, 50907, 51001, 59895, 50965, 51123, 50968, 58910, 70253, 51114, 57252, 50973, 50907, 51147, 67836, 51028, 50912, 50999, 57959, 69017, 51220, 63801, 50973, 50984, 51147, 58604, 50968, 51123, 51028, 51254, 50441, 50902, 60466, 50968, 51123, 50916, 51376, 50447, 51114, 55814, 50968, 51022, 50877, 51965, 50453, 50902, 62082, 50968, 51123, 51027, 79088, 51114, 51022, 55331, 51022, 51086, 51466, 50417, 51028, 57711, 50902, 51123, 50965, 74525, 50968, 57252, 50902, 51123, 50973, 51961, 50429, 51315, 50912, 51028, 60816, 51378, 50912, 50902, 63801, 51176, 50912, 50968, 58604, 51027, 50912, 51028, 51269, 50441, 51176, 50984, 50973, 62622, 51027, 50912, 51028, 51022, 50916, 51254, 50447, 51086, 50984, 51001, 55814, 75039, 50877, 53131, 50320, 52212, 50453, 50899, 55162, 70088, 50965, 51254, 50459, 51040, 50912, 56310, 50912, 50989, 51447, 50417, 51176, 55869, 51027, 56779, 51086, 54325, 51027, 50912, 51001, 52025, 50429, 51176, 55100, 51027, 57455, 51086, 58604, 51176, 50907, 50916, 53131, 50320, 51824, 50441, 51378, 54947, 51176, 50912, 51430, 80059, 51027, 54823, 51086, 50907, 51147, 51174, 50453, 51040, 55346, 69271, 51220, 73316, 51086, 50912, 57346, 50912, 50968, 52980, 50417, 51086, 55740, 51040, 50912, 50999, 75110, 50899, 54325, 70088, 51028, 67012, 50989, 55100, 62007, 50968, 76257, 50916, 54793, 79741, 50877, 74243, 50916, 54947, 79741, 50902, 53131, 50315, 75102, 50965, 54823, 61825, 51028, 51254, 50453, 50965, 55346, 50989, 50907, 50999, 61976, 51166, 50459, 70088, 54206, 50907, 50877, 52454, 50327, 70544, 51040, 50912, 54569, 56779, 70088, 53337, 50912, 50965, 74448, 51040, 50912, 50968, 55011, 69271, 51114, 51022, 50973, 69783, 77559, 51147, 61929, 50999, 51123, 51040, 53131, 50308, 51330, 50441, 51147, 60466, 50999, 51269, 51086, 51254, 50447, 51220, 59038, 51399, 51123, 51027, 51254, 50453, 51146, 60004, 51430, 51022, 51176, 53131, 50320, 51254, 50459, 51399, 51123, 58479, 51123, 51378, 53131, 50322, 51330, 50417, 51147, 64080, 50999, 51022, 50916, 51254, 50423, 51220, 57252, 50999, 51022, 50956, 51254, 50429, 50973, 50984, 51147, 60816, 51028, 50912, 50999, 51123, 51086, 51254, 50435, 51001, 50912, 51220, 58604, 50968, 50984, 51147, 51022, 50916, 51254, 50441, 51001, 50984, 51114, 62622, 69128, 51147, 65650, 51114, 50984, 50999, 59038, 51147, 50912, 51220, 79519, 50999, 50907, 51399, 60004, 51220, 51123, 51146, 52011, 50459, 51147, 50912, 57289, 62311, 50902, 55869, 69128, 51147, 52731, 50423, 51114, 55070, 69128, 51399, 53577, 78740, 55238, 50968, 59037, 51114, 54584, 50902, 60887, 51028, 57043, 69017, 51220, 65650, 50968, 51123, 50999, 59038, 74953, 51147, 52011, 50453, 51028, 56838, 69017, 50916, 72993, 69128, 58479, 51123, 51028, 55505, 50310, 70544, 51147, 57711, 50999, 51123, 50877, 51254, 50423, 51220, 57252, 50999, 51123, 50902, 52783, 50429, 51086, 50984, 51147, 60816, 51040, 50912, 50999, 63801, 69271, 51220, 55707, 70088, 51147, 51123, 50441, 69271, 51114, 57138, 70088, 51147, 65932, 79741, 50999, 59038, 79944, 51220, 53280, 50453, 61825, 51001, 55346, 79944, 51114, 62065, 79741, 51147, 50907, 54578, 50912, 51028, 52136, 50417, 51040, 54964, 71152, 50999, 62791, 66398, 51147, 57252, 79741, 50999, 53280, 50429, 50965, 55100, 61825, 51114, 75256, 50989, 54793, 69271, 50973, 52431, 50441, 51040, 54947, 69271, 50999, 51432, 50447, 50916, 54823, 69271, 51147, 51387, 50453, 51040, 55162, 69271, 51114, 51432, 50459, 70088, 57346, 50907, 50931, 51824, 50417, 51027, 55869, 51086, 50912, 51028, 51824, 50423, 51040, 50912, 53337, 50912, 50877, 53536, 50322, 53280, 50429, 50916, 55100, 50989, 50907, 50902, 51254, 50435, 50899, 54793, 51086, 50912, 50965, 51254, 50441, 51027, 54682, 51086, 50912, 50973, 53535, 50324, 51824, 50447, 51040, 54823, 51086, 50912, 50871, 53131, 50317, 51387, 50453, 51027, 55162, 51086, 50912, 51001, 51022, 50965, 51254, 50459, 51040, 50912, 50931, 51123, 60497, 51269, 51027, 53131, 50305, 51254, 75536, 64080, 51114, 51269, 51176, 51254, 50423, 51147, 55124, 50999, 51269, 51378, 51254, 50429, 51220, 60816, 51399, 51022, 51027, 51254, 50435, 50999, 58604, 51114, 51123, 51197, 51470, 50441, 50968, 60466, 51114, 51123, 51040, 51254, 50447, 51147, 55814, 51114, 51022, 50900, 53131, 50307, 51447, 50453, 50968, 60004, 51114, 51123, 51176, 51254, 50459, 51147, 51123, 57289, 51123, 51360, 51254, 72239, 64080, 50968, 51022, 51197, 51254, 50423, 51114, 57252, 51147, 51123, 51315, 53131, 50305, 51330, 50429, 50999, 57959, 51220, 51123, 51197, 51254, 50435, 51147, 58604, 50968, 51123, 51360, 51376, 50441, 50902, 60466, 50968, 51123, 51086, 51254, 50447, 51114, 59038, 50968, 51123, 50997, 53131, 50305, 51447, 50453, 50902, 56773, 50968, 51123, 51378, 51254, 50459, 51114, 51123, 55331, 51022, 51324, 51470, 50417, 51028, 51123, 58973, 51123, 51360, 51376, 50423, 50968, 57252, 51114, 51022, 51120, 53131, 50303, 51330, 50429, 51147, 55011, 50999, 51022, 51360, 51376, 50435, 51114, 55707, 51147, 51022, 51324, 51376, 50441, 51114, 57138, 51147, 51022, 51027, 51254, 50447, 50999, 59038, 51220, 51123, 51176, 53131, 50303, 51447, 50453, 51399, 56773, 51146, 51022, 51378, 51254, 50459, 51220, 51123, 73607, 51123, 51050, 51254, 50417, 51220, 59895, 50999, 51123, 51360, 51470, 50423, 51147, 58844, 51114, 51022, 51120, 53131, 50301, 51254, 50429, 50968, 57959, 50902, 51123, 51027, 53131, 50310, 73187, 51028, 58604, 50973, 51022, 51086, 78502, 74244, 51028, 60466, 51027, 50907, 50902, 65650, 51086, 50912, 50973, 59038, 50965, 52858, 50305, 51330, 50453, 51040, 60004, 50956, 50907, 51028, 51432, 50459, 66398, 57126, 50907, 50877, 55505, 50298, 51074, 74850, 55869, 50989, 50907, 51028, 51432, 50423, 50965, 54504, 61825, 51114, 52192, 50429, 50973, 55100, 51028, 50912, 50968, 51824, 50435, 50877, 54584, 79741, 50999, 51123, 50441, 77559, 51147, 60466, 79741, 51114, 65650, 50965, 50912, 50968, 59038, 79741, 50902, 53280, 50453, 50916, 55162, 50989, 57467, 50965, 50912, 55524, 62311, 75039, 54569, 50912, 50965, 51432, 50423, 50916, 54325, 79741, 50902, 51824, 50429, 50965, 55100, 61825, 51028, 51824, 50435, 50989, 54793, 69271, 51114, 51123, 50441, 51040, 50912, 50968, 51123, 55989, 50912, 50902, 65650, 70088, 51028, 55814, 69271, 50973, 53280, 50453, 51040, 55346, 50899, 58247, 70088, 57346, 62311, 51086, 54964, 75039, 50877, 62791, 71773, 50965, 51123, 56207, 51123, 51040, 51166, 50429, 50973, 57959, 51028, 51123, 51027, 75675, 51330, 50435, 50877, 58604, 50989, 51123, 51086, 51333, 50441, 51028, 51123, 55989, 50912, 50973, 65650, 51040, 50912, 80035, 56279, 50912, 50965, 51432, 50453, 51315, 50912, 50989, 55162, 51378, 50912, 50916, 58247, 51176, 50912, 69271, 56310, 50912, 51040, 51074, 50417, 51176, 50912, 50916, 51022, 56945, 50912, 50989, 62791, 51086, 50912, 50965, 57252, 75573, 50877, 65472, 72534, 50973, 55238, 77559, 51028, 56857, 51040, 50912, 50877 ]
[ 0, 713, 8787, 3152, 8, 3495, 24904, 2125, 6, 278, 11, 211, 3694, 6, 1931, 21683, 41, 20425, 8, 32076, 16464, 4, 20, 3152, 6757, 8, 13305, 483, 5, 15352, 30054, 1427, 6, 22689, 30, 5, 1428, 32618, 9, 5, 81, 9756, 8669, 8, 21072, 6, 19, 2382, 3459, 8669, 1271, 10, 23520, 2842, 4, 11679, 154, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 5, 15229, 1575, 10, 33215, 13931, 9, 381, 6, 3676, 406, 428, 245, 73, 495, 6, 211, 6, 8, 3676, 6, 8216, 7, 63, 20902, 8, 17627, 17274, 2048, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 53534, 52500, 51188, 50991, 50856, 50870, 50777, 50339, 51801, 50420, 50777, 50318, 51801, 50422, 51404, 52140, 52232, 51161, 52389, 57737, 50870, 50777, 50320, 51801, 50432, 50777, 50325, 51801, 56797, 50870, 59802, 51047, 50777, 50335, 51801, 50450, 77968, 50870, 50777, 50328, 52919, 50777, 50308, 51801, 50456, 62300, 51404, 51204, 52563, 51469, 52232, 51116, 50856, 50870, 50777, 50289, 51307, 50423, 51188, 51203, 51746, 50991, 52389, 57737, 50870, 79478, 51151, 50432, 51188, 51452, 50438, 51746, 50918, 50856, 50870, 50777, 50298, 51151, 50450, 77968, 50870, 52534, 51469, 51188, 50991, 50856, 50870, 50777, 50290, 51307, 58535, 51151, 50423, 51245, 51894, 51770, 51605, 52389, 57737, 52904, 50856, 53003, 77968, 50870, 52288, 51196, 51245, 50991, 50856, 54604, 51323, 51235, 52400, 51235, 52389, 57737, 53575, 51323, 53264, 51019, 51356, 51746, 51274, 53824, 51274, 50816, 63337, 50816, 55933, 52851, 50867, 51888, 50867, 52491, 56317, 53152, 50813, 52578, 50813, 52891, 52800, 51913, 50921, 52002, 50921, 52172, 50921, 50453, 53152, 50808, 52578, 50808, 52891, 52643, 52851, 50833, 51888, 50833, 52491, 56054, 53152, 50809, 52578, 50809, 52891, 50809, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 51913, 55198, 52002, 55198, 52172, 55198, 53583, 61819, 53023, 51011, 52589, 51135, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 53630, 51392, 53023, 51011, 51508, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 50867, 52851, 50840, 51888, 50840, 52491, 52411, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 50854, 53152, 50940, 52578, 50940, 52891, 50940, 56319, 59528, 52110, 57622, 52851, 50808, 51888, 50808, 52491, 52643, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 55912, 53520, 51913, 53520, 53880, 53520, 53583, 53023, 51011, 51508, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 53630, 51392, 53023, 51011, 51508, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 51953, 50834, 51859, 50887, 52421, 50795, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51617, 51464, 54603, 50798, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 51617, 52259, 51392, 53023, 73252, 51617, 51196, 72274, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 52421, 50893, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51617, 51406, 54603, 50798, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 51617, 50893, 53583, 53023, 73252, 52421, 50862, 72274, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 50829, 51617, 54392, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 52317, 50829, 52333, 50840, 51829, 50849, 53583, 53023, 73252, 51617, 52348, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 50829, 52333, 50855, 51829, 66829, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 75968, 51582, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 50867, 52421, 53756, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 52421, 50809, 69963, 51403 ]
[ 0, 250, 765, 15855, 8, 5175, 2125, 4246, 10, 13305, 6, 278, 11, 10, 231, 73, 398, 86, 6543, 8, 10, 1769, 20889, 9, 9680, 741, 1685, 4, 20, 15229, 16, 11, 5, 762, 9, 274, 538, 6, 19, 10, 33215, 16739, 9, 274, 6, 211, 119, 6, 8, 230, 4, 20, 6711, 7630, 6568, 10, 25306, 6, 2635, 6, 3722, 6, 8, 19448, 5466, 19, 10, 11602, 9, 15073, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50634, 51540, 50634, 50474, 51303, 50893, 53075, 51411, 51540, 52303, 51419, 51414, 57222, 51303, 50938, 53075, 57105, 52303, 51419, 51414, 51141, 50474, 51303, 50849, 53075, 51534, 51540, 52303, 51313, 51414, 53259, 50474, 53075, 50827, 51303, 50859, 51540, 52303, 51008, 51414, 58798, 51410, 50864, 51457, 52841, 51303, 50844, 51825, 52848, 52932, 50800, 51414, 50878, 50462, 51303, 50822, 51825, 50854, 50474, 51231, 50886, 51981, 50836, 51540, 51303, 50874, 51825, 52710, 51457, 50846, 51410, 54077, 52303, 50867, 51414, 53938, 51303, 51477, 51249, 51141, 51327, 51295, 50474, 53075, 51534, 51303, 51221, 51540, 52303, 51477, 51414, 66744, 51303, 50866, 53075, 74047, 52303, 51391, 51414, 51295, 50474, 51303, 50873, 53075, 51412, 51540, 52303, 51243, 51414, 51353, 50474, 52303, 50874, 51414, 50812, 51540, 51410, 50886, 51457, 52329, 51303, 50874, 51825, 52841, 51414, 50904, 52932, 54208, 51457, 50822, 54310, 50808, 50462, 51414, 50904, 52932, 50855, 50474, 51327, 50886, 53171, 50813, 51540, 51414, 50864, 52932, 53383, 51231, 50886, 51981, 53894, 51818, 50887, 52287, 50809, 51476, 51642, 51414, 51423, 50450, 51825, 50983, 51303, 51145, 51249, 51447, 50474, 53075, 51645, 51303, 51255, 51540, 52303, 53674, 51414, 57222, 51303, 50938, 53075, 54980, 52303, 51134, 51414, 51141, 50474, 76351, 53075, 51363, 51540, 52303, 51293, 51414, 52382, 50474, 53075, 50912, 51303, 50812, 51540, 52303, 50933, 51414, 56382, 51410, 50867, 51457, 53415, 51303, 79829, 52741, 52932, 50812, 51414, 50959, 50462, 51303, 79829, 50808, 50474, 51231, 50886, 51981, 50840, 51540, 51303, 50822, 51825, 53950, 51457, 50828, 51410, 53894, 52303, 50857, 51414, 55268, 51303, 51310, 51249, 51364, 51327, 51343, 50474, 53075, 51172, 51303, 51124, 51540, 52303, 51318, 51414, 71378, 51303, 50938, 53075, 51412, 50450, 52303, 51542, 51414, 51218, 50474, 51303, 50873, 53075, 51412, 51540, 52303, 51293, 51414, 51359, 50474, 52303, 50827, 51414, 50808, 51540, 51410, 50864, 51457, 54156, 51303, 50822, 51825, 51724, 51414, 50886, 52932, 54208, 51457, 50874, 54310, 50812, 50462, 51414, 50867, 52932, 50840, 50474, 51327, 50864, 53171, 50809, 51540, 51414, 50857, 52932, 52329, 51231, 50867, 51981, 55395, 51818, 50809, 52287, 50887, 51476, 51233, 51414, 77393, 51825, 51141, 51303, 51878, 51249, 51145, 50474, 51303, 51255, 51825, 51116, 51540, 51327, 51189, 53171, 51364, 50438, 51303, 51157, 51825, 56508, 51327, 51115, 53171, 51417, 50474, 51825, 50991, 51303, 51377, 51540, 53171, 51696, 51327, 51353, 50474, 51303, 50800, 53075, 50897, 51540, 51249, 50880, 51327, 50887, 51687, 52710, 51249, 50809, 51327, 50809, 51687, 54181, 53075, 50855, 51303, 55510, 51414, 50880, 51410, 50833, 50462, 51410, 75630, 50858, 50474, 53075, 50862, 51303, 50821, 51540, 51476, 50855, 51249, 50821, 51980, 52422, 51476, 50862, 51249, 50890, 51980, 54362, 53075, 50836, 51303, 54411, 51414, 50983, 51457, 51496, 52303, 51115, 50474, 51457, 51379, 51410, 51377, 51540, 52287, 51226, 52948, 51141, 51249, 51141, 51719, 71378, 51457, 51095, 51410, 56508, 51249, 51189, 52948, 51141, 52287, 50983, 51719, 51562, 50474, 51457, 51192, 51410, 51255, 51540, 51249, 51264, 51719, 51264, 52948, 55362, 52287, 53898, 50474, 53655, 50810, 51410, 50833, 51540, 51476, 50854, 51719, 50859, 51249, 56382, 51476, 50840, 51249, 50800, 51719, 53402, 53655, 50833, 51410, 54721, 52303, 75470, 50800, 50462, 52303, 50833, 51231, 50808, 50474, 53655, 50840, 51410, 50833, 51540, 52326, 50840, 51327, 50808, 51719, 55640, 52326, 50836, 51719, 50808, 51327, 54181, 53655, 50809, 51410, 52741, 52690, 51091, 51231, 51294, 51414, 51294, 50474, 52303, 50854, 51414, 50830, 51540, 51980, 50840, 51687, 51218, 51231, 78046, 51981, 55395, 52932, 50887, 52303, 68031, 56822, 50809, 51231, 51141, 51687, 51115, 50462, 52932, 50855, 50474, 53171, 50818, 52303, 51203, 51540, 52932, 50836, 51231, 51218, 51687, 51446, 50426, 51981, 53574, 51980, 50836, 52303, 65504, 51303, 51397, 51687, 51127, 51249, 51127, 51327, 51077, 50474, 51414, 50833, 52303, 51255, 51540, 51980, 50897, 51687, 51295, 51231, 74978, 51981, 52841, 52932, 50840, 52303, 65504, 56822, 50840, 51687, 51103, 51231, 51077, 50462, 52932, 50809, 50474, 53171, 50828, 52303, 51221, 51540, 52932, 50855, 51687, 51562, 51231, 51446, 50426, 51981, 52444, 51980, 50884, 52303, 74190, 51687, 51351, 51303, 51241, 51327, 51295, 51249, 51295, 50474, 51249, 51121, 51825, 51121, 51687, 51116, 51303, 51255, 51540, 51410, 51218, 51303, 51189, 52932, 51141, 51414, 57222, 51249, 50901, 51825, 50849, 51303, 51400, 51687, 79308, 51303, 50983, 51414, 51141, 51410, 51218, 52932, 51189, 50474, 51719, 51110, 51457, 51110, 51476, 51221, 51410, 51162, 51540, 52303, 51189, 51410, 51189, 51981, 50983, 51231, 51417, 50438, 51719, 51100, 51457, 51111, 51476, 51110, 51410, 65114, 52303, 51134, 51410, 51204, 51981, 50983, 51231, 51295, 50474, 51231, 50849, 51980, 50849, 56139, 51111, 51476, 51177, 51540, 51249, 51183, 51327, 51127, 53075, 51675, 51476, 51675, 50450, 53075, 51204, 51476, 51141, 51249, 51591, 51825, 51623, 50474, 53075, 50809, 51540, 52303, 50809, 51457, 51264, 51414, 51655, 50426, 51410, 54431, 51303, 53688, 51414, 50887, 50462, 51410, 50840, 50474, 51687, 50884, 51303, 50846, 51249, 51111, 51825, 51194, 51540, 52932, 51141, 51410, 51364, 51303, 51295, 51414, 51417, 50438, 51687, 51116, 51303, 50991, 51327, 51221, 51825, 55082, 51410, 51364, 51303, 50983, 52932, 51417, 51414, 51103, 50474, 51476, 51121, 51719, 51100, 51410, 50967, 51457, 51215, 51540, 52303, 51141, 51410, 51189, 51231, 50983, 51981, 51472, 50438, 51476, 51178, 51410, 51110, 51719, 50991, 51457, 58833, 52303, 51091, 51410, 51241, 51231, 50983, 51981, 51417, 50474, 51980, 50865, 56139, 51177, 51476, 51111, 51231, 50991, 51540, 53075, 51446, 51476, 51413, 51249, 51591, 51327, 51623, 50450, 53075, 51091, 51476, 51091, 51249, 51675, 51825, 51977, 50474, 53075, 50862, 51540, 52303, 50809, 51414, 51941, 50426, 51410, 52444, 51303, 53938, 51414, 50840, 50474, 51303, 51159, 51825, 50943, 51540, 51327, 51115, 53171, 57222, 51303, 51267, 51825, 52728, 51327, 51218, 53171, 51413, 50474, 51825, 51238, 51303, 51025, 51540, 53171, 51655, 51327, 51264, 50474, 51303, 50858, 53075, 50830, 51540, 51249, 50890, 51327, 50880, 51687, 52450, 51249, 50809, 51327, 50809, 51687, 53415, 53075, 50855, 51303, 52555, 51414, 50890, 51410, 50808, 50462, 51410, 75630, 50821, 50474, 53075, 50862, 51303, 50800, 51540, 51476, 50855, 51249, 50821, 51980, 54149, 51476, 50857, 51249, 50890, 51980, 51724, 53075, 50840, 51303, 52555, 51414, 51274, 51457, 51496, 52303, 51218, 50474, 51457, 51167, 51410, 51377, 51540, 52287, 51362, 52948, 51141, 51249, 51141, 51719, 57222, 51457, 50967, 51410, 57197, 51249, 51218, 52948, 51343, 52287, 51189, 51719, 51562, 50474, 51457, 51192, 51410, 51116, 51540, 51249, 51353, 51719, 51264, 52948, 52382, 52287, 53898, 50474, 53655, 50808, 51410, 50812, 51540, 51476, 50808, 51719, 73879, 57499, 51476, 50855, 51249, 50808, 51719, 53402, 53655, 50808, 51410, 51757, 52303, 50809, 51231, 50800, 50462, 52303, 50854, 51231, 50808, 50474, 53655, 50840, 51410, 50812, 51540, 52326, 50836, 51327, 50800, 51719, 55640, 52326, 50862, 51719, 50854, 51327, 51724, 53655, 50840 ]
[ 0, 250, 19448, 15855, 2125, 19, 3495, 16882, 6, 4246, 10, 2352, 6757, 6, 21979, 8669, 6, 8, 13602, 6757, 6, 7513, 30, 3459, 9590, 8, 32625, 2236, 1021, 2678, 29, 4, 8504, 11, 83, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 6, 2351, 10, 5679, 26709, 5466, 4, 20, 33215, 16739, 9, 381, 6, 1918, 6, 230, 6, 211, 6, 8, 274, 31473, 10, 11602, 9, 1619, 16426, 7, 42, 765, 6, 15352, 30054, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50630, 64857, 54351, 53256, 50874, 51855, 50810, 51131, 56174, 52451, 50874, 52086, 50810, 50960, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50874, 52561, 50810, 50970, 54653, 52892, 50874, 51882, 50810, 62459, 51034, 51504, 54351, 53256, 50874, 51855, 50810, 51131, 56174, 52892, 50874, 51882, 50810, 50986, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50874, 52561, 50810, 50970, 54653, 52892, 50874, 51882, 50810, 62459, 76004, 54351, 52451, 50874, 52086, 50810, 50960, 56174, 52796, 50874, 52908, 50810, 50929, 53881, 52867, 50886, 55631, 62076, 54860, 52867, 50844, 55631, 50812, 51076, 53614, 52796, 50874, 52908, 50810, 50929, 54653, 52892, 50874, 51882, 50810, 62459, 51034, 53799, 50844, 52077, 50812, 51246, 54351, 52451, 50874, 52086, 50810, 50960, 56174, 52592, 50874, 52561, 50810, 50970, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 53125, 50844, 55412, 50812, 51064, 53614, 52451, 50874, 52086, 50810, 50960, 54653, 52892, 50874, 51882, 50810, 62459, 64857, 54657, 53256, 50874, 51855, 50810, 51131, 56174, 52451, 50874, 52086, 50810, 50960, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50886, 52561, 50813, 50970, 54758, 52892, 50874, 51882, 50810, 62459, 51034, 59410, 50857, 54744, 50836, 52012, 54657, 51574, 56174, 53256, 50874, 51855, 50810, 51131, 53881, 54801, 50874, 52655, 50810, 51317, 50874, 50428, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 53891, 53281, 50874, 52642, 50810, 50998, 54653, 52892, 50874, 51882, 50810, 62459, 64857, 54657, 53256, 50874, 51855, 50810, 51131, 56174, 52451, 50874, 52086, 50810, 50960, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50886, 52561, 50813, 50970, 54758, 52892, 50874, 51882, 50810, 62459, 51034, 59410, 50857, 54744, 50836, 52012, 54657, 51574, 56174, 53256, 50874, 51855, 50810, 51131, 53881, 54801, 50874, 52655, 50810, 51317, 50874, 50428, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 53891, 53281, 50874, 52642, 50810, 50998, 54653, 52892, 50874, 51882, 50810, 62459, 51034, 50927, 51538, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 77851, 51538, 51504, 53877, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52892, 50874, 51882, 50810, 50986, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50629, 50953, 51077, 51207, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52796, 50874, 52908, 50810, 50929, 56439, 52712, 52867, 50886, 55631, 62076, 59539, 52417, 52867, 50844, 55631, 50812, 51076, 53887, 51920, 52565, 60908, 52796, 50874, 52908, 50810, 50929, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 51186, 51077, 53799, 50844, 52077, 50812, 51246, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52592, 50874, 52561, 50810, 50970, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 53125, 50844, 55412, 50812, 51064, 53887, 51920, 52565, 60908, 52451, 50874, 52086, 50810, 50960, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50927, 51623, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 56735, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 77851, 51623, 51504, 53877, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52892, 50874, 51882, 50810, 50986, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 51069, 51623, 59410, 50857, 54744, 50836, 52012, 54355, 53498, 54031, 51574, 56439, 53868, 53256, 50874, 51855, 50810, 51131, 56439, 52712, 54801, 50874, 52655, 50810, 51317, 56439, 59551, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 54742, 51920, 52565, 54801, 50874, 52655, 50810, 51317, 54874, 53498, 52875, 66381, 53256, 50874, 51855, 50810, 51131, 54874, 53498, 50841, 51034, 51069, 51623, 59410, 50857, 54744, 50836, 52012, 54355, 53498, 54031, 51574, 56439, 53868, 53256, 50874, 51855, 50810, 51131, 56439, 52712, 54801, 50874, 52655, 50810, 51317, 56439, 59551, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 54742, 51920, 52565, 53281, 50874, 52642, 50810, 50998, 54874, 53498, 52875, 61002, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50927, 51077, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 56735, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 62008, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 77851, 51623, 51504, 53877, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52892, 50874, 51882, 50810, 50986, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50953, 51623, 51207, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52796, 50874, 52908, 50810, 50929, 56439, 52712, 52867, 50886, 55631, 62076, 59539, 52417, 52867, 50844, 55631, 50812, 51076, 53887, 51920, 52565, 52796, 50874, 52908, 50810, 50929, 54874, 53498, 52875, 60908, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 51186, 51623, 53799, 50844, 52077, 50812, 51246, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52592, 50874, 52561, 50810, 50970, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 53125, 50844, 55412, 50812, 51064, 53887, 51920, 52565, 52451, 50874, 52086, 50810, 50960, 54874, 53498, 52875, 51186, 50805, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50927, 51623, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50886, 52561, 50813, 50970, 55503, 53498, 52875, 56735, 52892, 50874, 51882, 50810, 50986, 54874 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 21979, 8669, 6, 3459, 9590, 6, 2342, 4467, 6, 8, 18558, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 6, 17407, 30, 10, 33215, 16739, 9, 274, 119, 406, 6, 163, 428, 6, 12608, 6, 8, 272, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50444, 51882, 50806, 50449, 52914, 50806, 50455, 51882, 50879, 55563, 69561, 75327, 57245, 51535, 50979, 51535, 50992, 51535, 52561, 50936, 50419, 51882, 50879, 51039, 50972, 50425, 52914, 51933, 51768, 53021, 50905, 52623, 51112, 51986, 68175, 51325, 61467, 51079, 56644, 50437, 52623, 52446, 51325, 62695, 53284, 50905, 51986, 60492, 50801, 50838, 51248, 50815, 50300, 50905, 52623, 50865, 51986, 69451, 52623, 50893, 51955, 50892, 51190, 50815, 50304, 50981, 68279, 50992, 50981, 77557, 51986, 55416, 51325, 66699, 80024, 52623, 50938, 51986, 50938, 51621, 65922, 51986, 50795, 52354, 73841, 50838, 51190, 50815, 50304, 51535, 50872, 51535, 50992, 51535, 50909, 51535, 52623, 50924, 51039, 50972, 52679, 51073, 51783, 51073, 51768, 53021, 79614, 51783, 51472, 50432, 50945, 60175, 51079, 56644, 52679, 51446, 53357, 67839, 53284, 50905, 51180, 51867, 50297, 50905, 52914, 50911, 50449, 52561, 51158, 51955, 50892, 51190, 50815, 50304, 50981, 68100, 50992, 50981, 50909, 58667, 50945, 61467, 80024, 52914, 50879, 60506, 50844, 53596, 68393, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50909, 51535, 51125, 51535, 56042, 52266, 51039, 50972, 51768, 53021, 50905, 51783, 51055, 51986, 68175, 51096, 55675, 51079, 56644, 50437, 51986, 50805, 51783, 57581, 51096, 69561, 53284, 50905, 50443, 51986, 52815, 76677, 50972, 51783, 69451, 55412, 51090, 51955, 53021, 50905, 51986, 50924, 51783, 50924, 50455, 51986, 55416, 51096, 55675, 80024, 51783, 50893, 51621, 50844, 53870, 67839, 50838, 51190, 50815, 50311, 51535, 50939, 51535, 51125, 51535, 51298, 51535, 55412, 50893, 51986, 50893, 51783, 50936, 50419, 52623, 51566, 51039, 50972, 52914, 52392, 51555, 51157, 51768, 53021, 79614, 52623, 51364, 50432, 51105, 58493, 51079, 56644, 51555, 51661, 50438, 51105, 67839, 53284, 50905, 51180, 58179, 50972, 51382, 50844, 51892, 50939, 50974, 51647, 54622, 51105, 50938, 51125, 50905, 52198, 55249, 50844, 55563, 68393, 75327, 57245, 51535, 50979, 51535, 50992, 51535, 51039, 50972, 51752, 50879, 51768, 53021, 50905, 52161, 51736, 51325, 55675, 51079, 56644, 52161, 80223, 52161, 56282, 51325, 73841, 53284, 50905, 50443, 52161, 51218, 67345, 53284, 50972, 51955, 53021, 54509, 51325, 66699, 80024, 51621, 50844, 52534, 68393, 50838, 51190, 50815, 50308, 51535, 50847, 51535, 50939, 51535, 50909, 51535, 51565, 51016, 51039, 50972, 51768, 53021, 50905, 52251, 51736, 50964, 60175, 51079, 56644, 51565, 51048, 56107, 73841, 53284, 50905, 50443, 51565, 52815, 50801, 50838, 51248, 50815, 50308, 50972, 51955, 50892, 51190, 50815, 50311, 50974, 51565, 50805, 50455, 51565, 51923, 50964, 60175, 80024, 50939, 50905, 53596, 69561, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50939, 51535, 51125, 51535, 51606, 51013, 51039, 50972, 50425, 51986, 50360, 50400, 51783, 51253, 51768, 53021, 50905, 52161, 57943, 51096, 69237, 51079, 56644, 52315, 50983, 50437, 51986, 61636, 51096, 68393, 53284, 50905, 51783, 50980, 51180, 77792, 78876, 51986, 51055, 51783, 51048, 51955, 50892, 51190, 50815, 50302, 50981, 68100, 50992, 50981, 50939, 50981, 51125, 58667, 51096, 69237, 80024, 60506, 65922, 51783, 50937, 51986, 50873, 53870, 67839, 50838, 51190, 50815, 50295, 51535, 50847, 51535, 50939, 51535, 51125, 51535, 51298, 51535, 50419, 52623, 51056, 51039, 50972, 51555, 51112, 51768, 53021, 79614, 52623, 57345, 51105, 66699, 51079, 56644, 51555, 57222, 51105, 67839, 53284, 50905, 51180, 57769, 50972, 51955, 50892, 51190, 50815, 50314, 56711, 51105, 55675, 80024, 51125, 50905, 60506, 50844, 55563, 68393, 50838, 51190, 50815, 50300, 51535, 50885, 51535, 50979, 51535, 50992, 51535, 50909, 51535, 50419, 52161, 50893, 51039, 50972, 51768, 53021, 50905, 52161, 56632, 51325, 55675, 51079, 56644, 52161, 60592, 51325, 69561, 53284, 50905, 52161, 50977, 50443, 52161, 51295, 67345, 50838, 51248, 50815, 50300, 50905, 51955, 50892, 51190, 50815, 50304, 50981, 68279, 50992, 50981, 50909, 58667, 51325, 69237, 80024, 52534, 68393, 50838, 51190, 50815, 50304, 51535, 50868, 51535, 50847, 51535, 50939, 51535, 50909, 51535, 51565, 51157, 51039, 50972, 50425, 52251, 50805, 51768, 53021, 54342, 50964, 61467, 51079, 56644, 51565, 51016, 56107, 67839, 53284, 50905, 51180, 50972, 51565, 50879, 51955, 53021, 50905, 51565, 59132, 50964, 60175, 80024, 51565, 50795, 53596, 73841, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50939, 51535, 51125, 51535, 51606, 50924, 50419, 52161, 51048, 51039, 50972, 50425, 51783, 51109, 51768, 53021, 50905, 51986, 51346, 50432, 51096, 55675, 51079, 56644, 52315, 51623, 50437, 51986, 76094, 51096, 68393, 53284, 50905, 51783, 51345, 67345, 50838, 51248, 50815, 50309, 50972, 50449, 51783, 51013, 51986, 51290, 51955, 50892, 51190, 50815, 50312, 56711, 51096, 55675, 80024, 50939, 77197, 51783, 50893, 51986, 50893, 53870, 68393, 50838, 51190, 50815, 50311, 51535, 50939, 51535, 51125, 51535, 51298, 51535, 50419, 52623, 50943, 51555, 50943, 51039, 50972, 51768, 53021, 79614, 52623, 51141, 51555, 70303, 51105, 66699, 56975, 54938, 51105, 68393, 53284, 50905, 50443, 51752, 50806, 51180, 50972, 50449, 52161, 50879, 51955, 53021, 54509, 51105, 69237, 80024, 51752, 50879, 60506, 50844, 55563, 73841, 50838, 51190, 50815, 50300, 51535, 50885, 51535, 50979, 51535, 50992, 51535, 50909, 51535, 51606, 50879, 51039, 50972, 51752, 51073, 50425, 51783, 51290, 51768, 53021, 50905, 51986, 51048, 50431, 52161, 51364, 50432, 51325, 61467, 51079, 56644, 50437, 51986, 58818, 51325, 68393, 53284, 50905, 51783, 50952, 50443, 51986, 60021, 50801, 50838, 51248, 50815, 50304, 50972, 51783, 50924, 50449, 51783, 50924, 51955, 50892, 51190, 50815, 50307, 50974, 51986, 51030, 50455, 51783, 51030, 51986, 56210, 51325, 66699, 80024, 50992, 77197, 51783, 50911, 51986, 50893, 52354, 69561, 50838, 51190, 50815, 50304, 51535, 50872, 51535, 50992, 51535, 50909, 51535, 50419, 52679, 51073, 51039, 50972, 51783, 51056, 51768, 53021, 79614, 51783, 51218, 50432, 50945, 60175, 51079, 56644, 52679, 51141, 53357, 67839, 53284, 50905, 50443, 52161, 50806, 51180, 60925, 50972, 51955, 50892, 51190, 50815, 50309, 50974, 51606, 55764, 50945, 66699, 80024, 50992, 50905, 52161, 50879, 51621, 65922, 51673, 51585, 53596, 67839, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50939, 51535, 51125, 51535, 51039, 50972, 51768, 53021, 50905, 51783, 51112, 51986, 68178, 51096, 60175, 51079, 56644, 50437, 51783, 50924, 51986, 55122, 51096, 69561, 53284, 50905, 50443, 51783, 50924, 51986, 50879, 51180, 50972, 50449, 51783, 50924, 51955, 53021, 50905, 51986, 50924, 51827, 51055, 50455, 51783, 55764, 51096, 66699, 80024, 51986, 50805, 53870, 69561, 50838, 51190, 50815, 50295, 51535, 50979, 51535, 50847, 51535, 50939, 51535, 51298, 51535, 51783, 50938, 51986, 50805, 51827, 50879, 50419, 51555, 50889, 52161, 51896, 51039, 50972, 52623, 51346, 51768, 53021, 79614, 51555, 70303, 51105, 66699, 51079, 56644, 52623, 71378, 51105, 73841, 53284, 50905, 54141, 50907, 52066, 51751, 50905, 52612, 50907, 51382, 50844, 51892, 68279, 65704, 50939, 50981, 51647, 54622, 51105, 57370, 53330, 50844, 55563, 69561, 55559, 57245, 51535, 50979, 51535, 50992, 51535, 51039, 50972, 51752, 50879, 51768, 53021, 50905, 52161, 51736, 51325, 58493, 51079, 56644, 52161, 80223, 52161 ]
[ 0, 250, 8787, 5175, 8, 3152, 24904, 2125, 6, 5378, 16364, 19, 1007, 8, 13363, 28191, 34879, 4, 11281, 25654, 8, 81, 9756, 29589, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 3459, 8, 38668, 9590, 4, 20, 6755, 12547, 3639, 10, 25306, 2842, 7, 5, 15229, 4, 8504, 11, 211, 3694, 8, 6780, 10, 20902, 12447, 1001, 20889, 6, 24, 30853, 19, 10, 33215, 16739, 9, 272, 73, 387, 6, 230, 119, 1176, 406, 6, 83, 73, 347, 10431, 6, 8, 211, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50450, 52776, 50833, 51699, 58229, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 56054, 52907, 50833, 51887, 50833, 50799, 52776, 52250, 51699, 52250, 50796, 50796, 55746, 52776, 78787, 51887, 53720, 51699, 52788, 51887, 55608, 52830, 53086, 51887, 52985, 52776, 50833, 51699, 58229, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 56054, 52907, 50833, 51887, 50833, 50799, 52776, 51080, 52776, 52250, 51699, 52250, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 54333, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 52371, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 55528, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 52371, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 52371, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 78936, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 51699, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 78936, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 51699, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52065, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 51154, 51283, 50843, 56104, 53624, 50843, 54823, 52776, 50833, 51699, 56613, 56104, 59354, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 56613, 58247, 52907, 50833, 51887, 50833, 67378, 50838, 51088, 50838, 51357, 50838, 52776, 52250, 51699, 52250, 52776, 51801, 50843, 56104, 54177, 51251, 50838, 51088, 50838, 51357, 55468, 54325, 50843, 56104, 53052, 51251, 50838, 51088, 50838, 51357, 55468, 54793, 51251, 50838, 51088, 50838, 51357, 55468, 56104, 53624, 51251, 50838, 51088, 50838, 51357, 55468, 54823, 50843, 56104, 53581, 51251, 50838, 51088, 50838, 51357, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51093, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51093, 55468, 54823, 50843, 56104, 53581, 51301, 50838, 51088, 50838, 51093, 55468, 50912, 70526, 50838, 51088, 50838, 51107, 55468, 56104, 54177, 51154, 50838, 51088, 50838, 51107, 55468, 54325, 50843, 56104, 53052, 51154, 50838, 51088, 50838, 51107, 55468, 54793, 51154, 50838, 51088, 50838, 51107, 55468, 56104, 53624, 51154, 50838, 51088, 50838, 51107, 55468, 54823, 50843, 56104, 53581, 51154, 50838, 51088, 50838, 51107, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51113, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51113, 55468, 54823, 52776, 50833, 51699, 56613, 56104, 59354, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 50833, 51301, 50838, 51088, 50838, 51113, 55468, 58247, 52907, 50833, 51887, 50833, 67378, 50838, 51088, 50838, 51357, 50838, 52776, 52250, 51699, 52250, 50843, 56104, 54177, 51251, 50838, 51088, 50838, 51357, 55468, 54325, 50843, 56104, 53052, 51251, 50838, 51088, 50838, 51357, 55468, 54793, 51251, 50838, 51088, 50838, 51357, 50838, 52776, 51801, 51926, 55856, 50843, 56104, 53624, 51251, 50838, 51088, 50838, 51357, 55468, 54823, 50843, 56104, 53581, 51251, 50838, 51088, 50838, 51357, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51093, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51093, 55468, 54823, 50843, 56104, 53581, 51301, 50838, 51088, 50838, 51093, 55468, 50912, 70526, 50838, 51088, 50838, 51107, 55468, 56104, 54177, 51154, 50838, 51088, 50838, 51107, 55468, 54325, 50843, 56104, 53052, 51154, 50838, 51088, 50838, 51107, 55468, 54793, 51154, 50838, 51088, 50838, 51107, 55468, 56104, 53624, 51154, 50838, 51088, 50838, 51107, 55468, 54823, 50843, 56104, 53581, 51154, 50838, 51088, 50838, 51107, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51093, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51093, 55468, 54823, 50843, 56104, 53581, 51301, 50838, 51088, 50838, 51093, 55468, 50912, 50799, 71464, 50827, 51165, 50838, 51395, 50838, 51182, 50838, 52481, 62726, 56104, 60123, 70417, 53004, 50741, 50338, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 56779, 50741, 50345, 52580, 50741, 50343, 50827, 52776, 62726, 56104, 58125, 50741, 50338, 52739, 70417, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 57455, 68816, 52788, 71464, 50827, 51165, 50838, 51395, 50838, 51182, 50838, 52481, 62726, 56104, 58978, 70417, 53086, 50741, 50338, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 58068, 50741, 50345, 52989, 50741, 50343, 50827, 52776, 62726, 56104, 59354, 50741, 50338, 53176, 70417, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 58247, 68816, 50827, 50799, 71464, 50827, 51165, 50838, 51201, 50838, 51284, 50838, 51887, 62726, 56104, 60123, 70417, 53004, 50741, 50338, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 56779, 50741, 50345, 52580, 50741, 50343, 50827, 51699, 51592, 50843, 56104, 58125, 50741, 50338, 52739, 70417, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 57455, 68816, 52788, 71464, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 56104, 58978, 70417, 53086, 50741, 50338, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 58068, 50741, 50345, 52989, 50741, 50343, 57729, 56104, 59354, 50741, 50338, 53176, 70417, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 58247, 68816, 50827, 78936, 75034, 51801, 51395, 51801, 51182, 51801, 51394, 51801, 50426, 51699, 66405, 51299, 51592, 54458, 50438, 51154, 51080, 50461, 50631, 67156, 51330, 51188, 51330, 51188, 50932, 51245, 51330, 51245, 50932, 51746, 51330, 51746, 50932, 50415, 51063, 51330, 51075, 51330, 51211, 51330, 51854, 65184, 51263, 51079, 51188, 51079, 51245, 51079, 50439, 51063, 51753, 51075, 51753, 51211, 51753, 50444, 51969, 51330, 51188, 51330, 51188, 50932, 51823, 50932, 51323, 50932, 51478, 50932, 50445, 51473, 51330, 51075, 73786, 51263, 51079, 51188, 51079, 51188, 50838, 51245, 50838, 51746, 67590, 51063, 51753, 51075, 51753, 67156, 51330, 51188, 51330, 51188, 50932, 51245, 50932, 51746, 50932, 50415, 51063, 51330, 51075, 64396, 51263, 66744, 51498, 51079, 51347, 51079, 51497, 51079, 50439, 51222, 51753, 51143, 51753, 51344, 51753, 50444, 51580, 51330, 51347, 51330, 51347, 50932, 51404, 50932, 51245, 50932, 51593, 50932, 51019, 50943, 50445 ]
[ 0, 250, 19448, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 13305, 483, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 231, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 1472, 9, 36474, 13005, 8, 22531, 4, 20, 33215, 16739, 9, 272, 6, 1918, 406, 6, 211, 6, 1918, 6, 8, 211, 3639, 7, 63, 32625, 13569, 9862, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54838, 50627, 54838, 66079, 51544, 50841, 51570, 59596, 50900, 55086, 52033, 55086, 52133, 54573, 51615, 52916, 50450, 51315, 52528, 50916, 53957, 51019, 52140, 53195, 51115, 50856, 60068, 50861, 65817, 51026, 52783, 51065, 50982, 50462, 50861, 52263, 50916, 54532, 70291, 50468, 50876, 51174, 53141, 50972, 51065, 51004, 50474, 50968, 51174, 53195, 66560, 50870, 50480, 50876, 65024, 50928, 50484, 51881, 55086, 53541, 53866, 50485, 51743, 52528, 54838, 51120, 52431, 50927, 52168, 52758, 51448, 51065, 53405, 51026, 54829, 50856, 53098, 50899, 51490, 50931, 51878, 51065, 53670, 50951, 51679, 50856, 61562, 52758, 56692, 51220, 51961, 51065, 53384, 51146, 51309, 51065, 64734, 51065, 58355, 51065, 75578, 52133, 62321, 54825, 58914, 52033, 55086, 51615, 52528, 50856, 53430, 51315, 52140, 51019, 52140, 52969, 51145, 50856, 53555, 50900, 53486, 51065, 50982, 50462, 50916, 51878, 51430, 51314, 70291, 50468, 51062, 51637, 51065, 51004, 50474, 51081, 51199, 53032, 78145, 50870, 50480, 50856, 50928, 50483, 50856, 51129, 50485, 50876, 51319, 52255, 52528, 54838, 50627, 51050, 52528, 50931, 51481, 51062, 51166, 50945, 52263, 51743, 55086, 51065, 57392, 53141, 52140, 53502, 53486, 50856, 62589, 50876, 51079, 53645, 51447, 50931, 50892, 51065, 53670, 50856, 65975, 51062, 51310, 50436, 51881, 52256, 53758, 51576, 51065, 65004, 51147, 51108, 50442, 72483, 50444, 51065, 59265, 50876, 57299, 50627, 50968, 52460, 51026, 52980, 50953, 52140, 51615, 59828, 52033, 56004, 53195, 69168, 65024, 60068, 52133, 57598, 72407, 51387, 51065, 50982, 50462, 50968, 51797, 50951, 51852, 50916, 71395, 51166, 52758, 51310, 70291, 50468, 50900, 51432, 51065, 51004, 50474, 50916, 52511, 50323, 51852, 50856, 50928, 50475, 50861, 52454, 50332, 52460, 50479, 53032, 51797, 50480, 50900, 51697, 50856, 51004, 54838, 51026, 52980, 50953, 52431, 54890, 51709, 51065, 55623, 52431, 50415, 51487, 51576, 51062, 52378, 53502, 51703, 50426, 50968, 51884, 50861, 53131, 50323, 51753, 51065, 68713, 50916, 55002, 53032, 51172, 58319, 52059, 50436, 55625, 51319, 50437, 52758, 56006, 50876, 52034, 51065, 65004, 53195, 51411, 50444, 50951, 55437, 50627, 51026, 51939, 50876, 51753, 50931, 51074, 50953, 52140, 51743, 52916, 53389, 51703, 52133, 51490, 50856, 69232, 52758, 51677, 72407, 53697, 51065, 68716, 50877, 53693, 50318, 51166, 50462, 50871, 51490, 70291, 50463, 50876, 66257, 50838, 50468, 50899, 53010, 50902, 51166, 51065, 51004, 50474, 51086, 53126, 50315, 51481, 53541, 56374, 51881, 51961, 50856, 50870, 50480, 50861, 55778, 50899, 54298, 50902, 51432, 51065, 50928, 50481, 51065, 51004, 50483, 51065, 51129, 50485, 52033, 52916, 50856, 50928, 54838, 50876, 52216, 50292, 52916, 50964, 52431, 53817, 55776, 53032, 52916, 51321, 57392, 52133, 56329, 55902, 53186, 50299, 53486, 50426, 50968, 53957, 50876, 52048, 50900, 52147, 62204, 51679, 50439, 50951, 51333, 50449, 52133, 54270, 50450, 50628, 51085, 51314, 50951, 51709, 51430, 51709, 50964, 52168, 51207, 52431, 51924, 50849, 52033, 53678, 51615, 51922, 50801, 51254, 63012, 51026, 51703, 50457, 51334, 50849, 50462, 50916, 54532, 51062, 52188, 50968, 52996, 50998, 50932, 51842, 50463, 51209, 52069, 50474, 51085, 78181, 52056, 50986, 51333, 51960, 54838, 51315, 51080, 50951, 51199, 51019, 51878, 51574, 52598, 59193, 53070, 51026, 52136, 50861, 51884, 51207, 53280, 58539, 50425, 51615, 51333, 51656, 52397, 53523, 51490, 50876, 52059, 50929, 51333, 51842, 58319, 72895, 51254, 68104, 51209, 65668, 51711, 52727, 52332, 51466, 60496, 61579, 52845, 50310, 51709, 51114, 51079, 51105, 51576, 51078, 51797, 50947, 51642, 51334, 51267, 51960, 75795, 70444, 54887, 50449, 51743, 52916, 50450, 51120, 51447, 50931, 50838, 50927, 51080, 50947, 51108, 74376, 51334, 51692, 50801, 51254, 63012, 50877, 52845, 50301, 55002, 59526, 50462, 67939, 50900, 52263, 51444, 52441, 51842, 50467, 50871, 51965, 50468, 50931, 50892, 50960, 51333, 58539, 50474, 50999, 51212, 50947, 51806, 51960, 50479, 51444, 51481, 50480, 51062, 50838, 50927, 51174, 67627, 50484, 51881, 52916, 52187, 52916, 50485, 51026, 51806, 51615, 52916, 54838, 50902, 52188, 51220, 51312, 50953, 51680, 51207, 52015, 51076, 51108, 51590, 51591, 59193, 53070, 51120, 58468, 50960, 52136, 56947, 51490, 50973, 52378, 50951, 51466, 50970, 51330, 63423, 50902, 52056, 50899, 54590, 50311, 51166, 50960, 53697, 51960, 58365, 72170, 68510, 54887, 50447, 51743, 57771, 50448, 51656, 57820, 50449, 52133, 53866, 50450, 51120, 51490, 50877, 51576, 50931, 51852, 50927, 51680, 51444, 52528, 51893, 58679, 51254, 63012, 51027, 51387, 51131, 55586, 59526, 50457, 51924, 51295, 50462, 50871, 53096, 51027, 53892, 50876, 52188, 50947, 51148, 51842, 50468, 50960, 51470, 58539, 50473, 50970, 51333, 50474, 50931, 51753, 51027, 52996, 50871, 53697, 50877, 53024, 51960, 50480, 51062, 51079, 50960, 52063, 51390, 53021, 51258, 50485, 53541, 53866, 54838, 51214, 52916, 50931, 53126, 50327, 51466, 50953, 52168, 51444, 51592, 51229, 51145, 59193, 64159, 51120, 53486, 50420, 51207, 52783, 50791, 54953, 51026, 51447, 50861, 51387, 50929, 51447, 70767, 50973, 52192, 51076, 51318, 50437, 52187, 52256, 57019, 52845, 50315, 73790, 53697, 50960, 51333, 51960, 50444, 50902, 51079, 51590, 61098, 68510, 54887, 50449, 51656, 52528, 50450, 51085, 52511, 50310, 51074, 50964, 51680, 51725, 51080, 52133, 57771, 52332, 53866, 50801, 51254, 51468, 50451, 51229, 51692, 50456, 51027, 53486, 50956, 58468, 50877, 51074, 51131, 50932, 59526, 50462, 51114, 52104, 50292, 52147, 50876, 51079, 50986, 51380, 51842, 50468, 50999, 52104, 50319, 51079, 51078, 50987, 58539, 50473, 51078, 51466, 50474, 51062, 52216, 50322, 52048, 50986, 52188, 51960, 50480, 51814, 50838, 51131, 57948, 51258, 50484, 51207, 54573, 51615, 52916, 50485, 50986, 52140, 52033, 60237, 54838, 51062, 53130, 50292, 54573, 51487, 51058, 50964, 51680, 50998, 52431, 59193, 53070, 51430, 51142, 50951, 51142, 58539, 50421, 51026, 52782, 50426, 50968, 52056, 51062, 52048, 50900, 77429, 50308, 54071, 70767, 51026, 51737, 58539, 55203, 52518, 50951, 68186, 53010, 50876, 51333, 51960, 50444, 51026, 53010, 50852, 56926, 54887, 50448, 52225, 53866, 50450, 50876, 52048, 50964, 52168, 51725, 51680, 51924, 51159, 51615, 52916, 51711, 65527, 50801, 51254, 51468, 50451, 51085, 55086, 50916, 51576, 51453, 51004, 50462, 73487, 65735, 51026, 51703, 51207, 50932, 51390, 51267, 51842, 50468, 58539, 50474, 50916, 52454, 50304, 54590, 50316, 51330, 50986, 51806, 51334, 51003, 51960, 50479, 51207, 51277, 50480, 67627, 50484, 52137, 51703, 50485, 52033, 51447, 54838, 51315, 52059, 50951, 50932, 51019, 51878, 51574, 51145, 51209, 51183, 59193, 64159, 51207, 51283, 56978, 56563, 50861, 52188, 58539, 53523, 51679, 50876, 51312, 50986, 50932, 51842, 58319, 52256, 50951, 51006, 50929, 52518, 58539, 50436, 52402, 52256, 50437, 51711, 54211, 51615, 76555, 51197, 52845, 50307, 51738, 50906, 51806, 51001, 52996, 51105, 51484, 52562, 50932, 51334, 51267, 51960, 56960, 56926, 54887, 50450, 51120, 52431, 50902, 70713, 73336, 51884, 50927, 51080, 51444, 51592, 51615, 57598, 51881, 52528, 52187, 52916, 50801, 51254, 51468, 50451, 51590, 51486, 71136, 51447, 50960, 52063, 59526, 50462, 80235, 64387, 51842, 50467, 51311, 50972, 50468, 50902 ]
[ 0, 250, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 21072, 6, 8, 6755, 12547, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 8325, 163, 5683, 4, 20, 16331, 33215, 16739, 9, 272, 6, 3676, 6, 1918, 6, 163, 119, 6, 8, 230, 6670, 10, 19448, 5466, 6, 7630, 14805, 6453, 9, 657, 1328, 5, 2125, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 63133, 51359, 54160, 51692, 51711, 73447, 52536, 50791, 57908, 50986, 51749, 50791, 56389, 50998, 51309, 50816, 52153, 50914, 50832, 50376, 60084, 60825, 50929, 65295, 50998, 51328, 54747, 51212, 52187, 51333, 50791, 58705, 50986, 51008, 59521, 74812, 50813, 65309, 51307, 53930, 51422, 51656, 73506, 51605, 50791, 57908, 51131, 51749, 50791, 56389, 50986, 51797, 50816, 53417, 50914, 50832, 50376, 60084, 60825, 50998, 55437, 73248, 53968, 64389, 50943, 60533, 51310, 50960, 51419, 50970, 51115, 50947, 51318, 54380, 51047, 51838, 63346, 51605, 50791, 50943, 51544, 56389, 51574, 51310, 50998, 51381, 50929, 51141, 53631, 51145, 52225, 52015, 50816, 52153, 50914, 50832, 50955, 52819, 51524, 52320, 50943, 53462, 50813, 58700, 51310, 71932, 50947, 51391, 51032, 51477, 53930, 51183, 52036, 72213, 58101, 50943, 52389, 55859, 56389, 51207, 51253, 50929, 51148, 51076, 51103, 51067, 51183, 56072, 51145, 52137, 51145, 50816, 51420, 50914, 50832, 50376, 60084, 51126, 52129, 51112, 52320, 50943, 63133, 51359, 54160, 51452, 51711, 51662, 50798, 51605, 50791, 57908, 50986, 51878, 50791, 56389, 50998, 51309, 50816, 58101, 50914, 50832, 50376, 60084, 60825, 50929, 55125, 50998, 51233, 54747, 51242, 52187, 58880, 58705, 70899, 59521, 51481, 50798, 50810, 65309, 51293, 53930, 51422, 51656, 69565, 51605, 50791, 57908, 51131, 51535, 50791, 56389, 50986, 51797, 50816, 55110, 50914, 50832, 50376, 60084, 60825, 50998, 66809, 64268, 53968, 64389, 50943, 60533, 51310, 50960, 51679, 50998, 50904, 50970, 51295, 50947, 51310, 54380, 51183, 51711, 63346, 51605, 50791, 50943, 51544, 56389, 51574, 51391, 50998, 51961, 50929, 51241, 51076, 51391, 53631, 51448, 50816, 52189, 50914, 50832, 50376, 60084, 60825, 52225, 51283, 52320, 50943, 53462, 50808, 58700, 51351, 78349, 50947, 51134, 51032, 51419, 53631, 51126, 53930, 51127, 52225, 51126, 52036, 51244, 50791, 50943, 57087, 50808, 52389, 51541, 50791, 56389, 51207, 51400, 50929, 51080, 51076, 51047, 51067, 51535, 56072, 51244, 52137, 51148, 50816, 52189, 50914, 50832, 50376, 60084, 51126, 52129, 51048, 52320, 50943, 63133, 51446, 54160, 52069, 51711, 52720, 50798, 52536, 50791, 50943, 51544, 57421, 50986, 51253, 50438, 50998, 51203, 50929, 60150, 50816, 52153, 50914, 50832, 50376, 60084, 60825, 51725, 51591, 50450, 50986, 53021, 58705, 53631, 54788, 50813, 61080, 50982, 50998, 51675, 50929, 51623, 54747, 73447, 51605, 50791, 50943, 51544, 56389, 51725, 51183, 50816, 53417, 56157, 50986, 51709, 53631, 67426, 50998, 51043, 54747, 79886, 58705, 65712, 60533, 51397, 53133, 68835, 51605, 50791, 50943, 51544, 57421, 50960, 61417, 50970, 51381, 50816, 52153, 56157, 51444, 66336, 50947, 66741, 58705, 50960, 56001, 50813, 51528, 58101, 60413, 78349, 53930, 55035, 51444, 51241, 56072, 51637, 50798, 55859, 57421, 50947, 54137, 50970, 64989, 51420, 56157, 51444, 51310, 53930, 71058, 68390, 50960, 51124, 56072, 67248, 58705, 50970, 51314, 63133, 51446, 54160, 78711, 51605, 50791, 50943, 51544, 57421, 50986, 51253, 50438, 50998, 51203, 50929, 60150, 54747, 51878, 50816, 58101, 56157, 51725, 51591, 50450, 50986, 53021, 58705, 53631, 56777, 50810, 61080, 50982, 50998, 51675, 50929, 51623, 54747, 54923, 51605, 50791, 60413, 54747, 51183, 51544, 56389, 51725, 51183, 50816, 55110, 56157, 50986, 51709, 53631, 54323, 50998, 51043, 54747, 56901, 58705, 65712, 60533, 51397, 53133, 73332, 51605, 50791, 50943, 51544, 57421, 50960, 61417, 50970, 51381, 50816, 52189, 56157, 51444, 66336, 50947, 66741, 58705, 50960, 50914, 53930, 50959, 58471, 50799, 56072, 55601, 60413, 78349, 56072, 73323, 52450, 51444, 68539, 51541, 50791, 57421, 77458, 56072, 51412, 50438, 50970, 64989, 52189, 56157, 51444, 51310, 53930, 58878, 63112, 50960, 51124, 56072, 73844, 58705, 50970, 51314, 63133, 52392, 54160, 52069, 50798, 67613, 51605, 50791, 59348, 50943, 51544, 59348, 57421, 50986, 51233, 50438, 50998, 56949, 59958, 58101, 55859, 56157, 50929, 59881, 50986, 63238, 59348, 58705, 68533, 53631, 54788, 53197, 50810, 63133, 50918, 50929, 50863, 54747, 73447, 51605, 50791, 60413, 50986, 66038, 50998, 54265, 57421, 50929, 71380, 51725, 51183, 50816, 55110, 56157, 50986, 51203, 53631, 67426, 68583, 54747, 79886, 58705, 63614, 60533, 51535, 69432, 53133, 68835, 51605, 50791, 50943, 51544, 57421, 50960, 73143, 50970, 71939, 52189, 56157, 50947, 52985, 51444, 51562, 50791, 58705, 50960, 50914, 53930, 51277, 58471, 50461, 56072, 51309, 53028, 60413, 64837, 53930, 55759, 52450, 50947, 51255, 56072, 59401, 51541, 50791, 57421, 50960, 59290, 51444, 51194, 50816, 52189, 56157, 51574, 51013, 61655, 50908, 53968, 63732, 51048, 52320, 50943, 58700, 51353, 72312, 50970, 51562, 50947, 51749, 62985, 60922, 51605, 50791, 50943, 51544, 56389, 50986, 51351, 50816, 58101, 56157, 50970, 54356, 50947, 64389, 58705, 50970, 64843, 50810, 60533, 52151, 50960, 51591, 53133, 60922, 51605, 50791, 50943, 51544, 56389, 50816, 55110, 56157, 66805, 60706, 72057, 50450, 50947, 54068, 50943, 61108, 51446, 50929, 51294, 55539, 64391, 51605, 50791, 77659, 78264, 51076, 66010, 51067, 59330, 57421, 51076, 54014, 51504, 51145, 69916, 62985, 51183, 50816, 52189, 72807, 51241, 50444, 50947, 68324, 51032, 51412, 50791, 58705, 78962, 58471, 65962, 51244, 50998, 51241, 61655, 69601, 77659, 51241, 50420, 50929, 79317, 52450, 51076, 73323, 51541, 50791, 57421, 50929, 54014, 51444, 51283, 70642, 50998, 50835, 53133, 51417, 50816, 52189, 72807, 51377, 50444, 50970, 53656, 63112, 50947, 54265, 58705, 65740, 60533, 51591, 53133, 52919, 50798, 51605, 50791, 50943, 51544, 57421, 50960, 68535, 50970, 51111, 50947, 79871, 58101, 56157, 50960, 51377, 50450, 51444, 79000, 58705, 51169, 50952, 50947, 51896, 53930, 53835, 50810, 50799, 56072, 54784, 51605, 50791, 60413, 53930, 53881, 56072, 51562, 50791, 57421, 51444, 71442, 50960, 63591, 55110, 56157, 63852, 64748, 51364, 50450, 50947, 54881, 50943, 65309, 51358, 53930, 51991, 50798, 51605, 50791, 50943, 51769, 53295, 51544, 56389, 51131, 50866, 80149, 50998, 73135, 52189, 56157, 51131, 68031, 52012, 79000, 58705, 53968, 50987, 58471, 69683, 50836, 50998, 51933, 53930, 54042, 60413, 53968, 54897, 52450, 53930, 59564, 51541, 50791, 56389, 50816, 52189, 56157, 52012, 51377, 54747, 66713, 63112, 51131, 63490, 58705, 73065, 60533, 51358, 53133, 51714, 54747, 54897, 51605, 50791, 50943, 51544, 57421, 50960, 53913, 72589, 50947, 72819, 58101, 56157, 50960, 65029, 51444, 51267, 51574, 55325, 58705, 76079, 50947, 51013, 53930, 60623, 50810, 60533, 51697, 50960, 50891, 56072, 59810, 51605, 50791, 50943, 57761, 51159, 53930, 52921, 51444, 51048, 56072, 51295, 50791, 57421, 50970, 57269, 51157, 62434, 55110, 56157, 69086, 64748, 79961, 50970, 60181, 50943, 65309, 51358, 53930, 67613, 51605, 50791, 50943, 51769, 52644, 51544, 56389, 74975, 50986, 50942, 50998, 59140, 52189, 56157, 51131, 51194, 50986, 54939, 52012, 51562, 50791, 58705, 51131, 50891, 76338, 50998, 51294, 53968, 57685, 50808, 50799, 53930, 56879, 60413, 51131, 50943, 53968, 54784, 52450, 52012, 50918, 53930, 63968, 51541, 50791, 57421, 50986, 60315, 50816, 52189, 56157, 51131, 55732, 63112, 50960, 75263, 58705, 53930, 50813, 54747, 51008, 60533, 51896, 53133, 52062, 50798, 51605, 50791, 50943, 51544, 57421, 50960 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 6, 42, 765, 2214, 16, 278, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 21436, 163, 5683, 4, 20, 38668, 483, 1239, 5, 8036, 6, 7513, 30, 10, 6755, 12547, 6, 3459, 13305, 6, 18558, 6, 8, 21072, 6, 2351, 10, 11299, 8, 2829, 2933, 5466, 4, 20, 33215, 16739, 9, 272, 6, 3676, 6, 163, 119, 6, 272, 6, 8, 3676, 4620, 5, 46336, 24456, 9, 5, 2125, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 52428, 52054, 53187, 50907, 52143, 51717, 51299, 51717, 51088, 51717, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 66840, 77993, 50827, 52042, 64772, 53187, 50907, 62325, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 62325, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50907, 57210, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 62325, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 57210, 77993, 50827, 52042, 64772, 53187, 50907, 66840, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 57210, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 66840, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50984, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50984, 62700, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50984, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50984, 66840, 77993, 50827, 52042, 64772, 53187, 50984, 62700, 77907, 50827, 52401, 51820, 50852, 53187, 50984, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50984, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50984, 62700, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50984, 57210, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50984, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50984, 62700, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50984, 57210, 77993, 50827, 52042, 64772, 53187, 50984, 66840, 77907, 50827, 52401, 51820, 50852, 53187, 50984, 62700, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50984, 57210, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50984, 66840, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 61531, 61531, 53187, 50907, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 66840, 77993, 50827, 52042, 64772, 53187, 50907, 62325, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 62325, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50907, 57210, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 62325, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 57210, 77993, 50827, 52042, 64772, 53187, 50907, 66840, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 57210, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 66840, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53825, 50358, 50954, 50984, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50984, 62700, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53825, 50360, 50954, 50984, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50984, 66840, 77993, 50827, 52042, 64772, 53825, 50362, 50954, 50984, 62700, 77907, 50827, 52401, 51820, 50852, 53187, 50984, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53825, 77340, 50984, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50984, 62700, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53825, 54159, 50984, 57210, 50800, 51402, 50827, 52401, 51835, 50816, 68193, 53187, 50984, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53825, 56706, 50984, 62700, 50800, 52042, 73231, 50827, 52401, 51628, 50816, 58188, 53187, 50984, 57210, 77993, 50827, 52042, 64772, 53825, 78409, 53187, 50984, 66840, 52831, 50816, 53156, 50827, 52401, 51820, 50816, 55249, 53187, 50984, 62700, 50800, 52042, 52513, 50816, 54225, 50827, 52401, 51757, 52428, 51597, 53825, 67464, 53187, 50984, 57210, 50800, 52042, 52809, 50816, 54447, 50827, 52401, 51754, 50816, 56558, 53187, 50984, 66840, 50800, 52401, 52567, 50816, 51589, 50827, 52042, 50800, 65195, 50812, 52143, 76941, 51299, 76941, 51088, 76941, 66840, 52101, 50420, 62325, 71607, 57210, 52101, 50432, 66840, 51832, 50438, 62325, 51832, 50444, 57210, 51832, 50450, 66840, 51832, 50456, 62325, 51832, 50799, 53215, 68334, 51883, 68334, 51301, 68334, 57210, 51832, 50420, 76862, 65437, 62325, 65350, 57210, 62913, 76862, 65438, 62325, 66674, 57210, 66614, 76862, 51252, 50799, 52830, 50361, 50413, 51301, 50361, 50413, 51088, 65354, 66840, 63478, 62325, 58782, 58233, 60346, 66840, 59580, 62325, 62095, 58233, 60205, 66840, 62082, 62325, 51269, 50799, 51491, 59519, 56091, 64080, 60601, 58844, 62325, 55011, 56091, 55707, 60601, 57138, 62325, 55814, 56091, 56773, 60601, 51022, 50799, 52143, 58306, 51299, 58306, 51088, 58306, 66840, 59895, 62325, 57252, 57210, 57959, 66840, 58604, 62325, 60466, 57210, 59038, 66840, 56838, 62325, 50984, 50799, 53215, 55275, 51883, 55275, 51301, 55275, 57210, 55740, 76862, 55070, 62325, 55238, 57210, 56006, 76862, 54682, 62325, 54626, 57210, 55346, 76862, 50907, 50799, 52830, 55856, 51301, 55856, 51088, 53678, 66840, 54964, 62325, 54504, 58233, 55100, 66840, 54793, 62325, 54947, 58233, 54823, 66840, 55162, 62325, 50912, 50799, 51491, 52988, 56091, 54711, 60601, 53220, 62325, 54150, 56091, 50851, 52126, 50838, 52041, 54498, 60601, 50851, 51771, 50838, 51555, 56350, 62325, 50851, 52427, 50838, 51902, 54980, 56091, 50827, 52092, 50838, 51612, 56109, 60601, 50827, 52577, 50838, 52075, 50932, 50799, 52143, 52503, 51299, 52503, 51088, 52503, 66840, 50827, 52627, 50838, 52290, 57410, 62325, 52580, 57210, 52739, 66840, 52788, 62325, 53086, 57210, 54385, 66840, 54900, 62325, 50874, 50653, 50340, 50795, 50703, 50340, 50807, 50799, 53215, 52727, 51883, 52727, 51301, 52727, 57210, 50874, 50653, 50339, 50795, 50703, 50339, 53561, 76862, 53881, 62325, 54221, 57210, 54123, 76862, 53743, 62325, 53140, 57210, 53820, 76862, 50822, 50653, 50340, 50795, 50703, 50340, 50807, 50799, 52830, 53201, 51301, 53201, 51088, 51922, 66840, 50822, 59489, 50795, 67407, 53561, 62325, 52921, 58233, 53193, 66840, 53614, 62325, 53783, 58233, 54004, 66840, 54194, 62325, 50844, 50799, 51491, 51748, 56091, 54351, 60601, 53450, 62325, 52658, 56091, 50810, 52126, 50838, 52041, 54498, 60601, 50810, 51771, 50838, 51555, 56350, 62325, 50810, 52427, 50838, 51902, 54980, 56091, 50810, 52092, 50838, 51612, 56109, 60601, 50810, 52577, 50838, 52075, 50932, 50799, 52143, 51671, 51299, 51671, 51088, 51671, 66840, 50810, 52627, 50838, 52290, 57410, 62325, 53906, 57210, 53911, 66840, 54181, 62325, 54746, 57210, 54276, 66840, 54424, 62325, 50854, 54767, 50795, 54932, 50807, 50799, 53215, 51449, 51883 ]
[ 0, 250, 20902, 8, 15352, 30054, 1619, 3495, 2214, 4246, 10, 11577, 20535, 12547, 9, 17691, 28430, 6, 2724, 368, 31365, 25999, 6, 326, 5638, 18026, 6, 32909, 6, 8, 17465, 102, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 182, 1769, 20889, 9, 29546, 13410, 228, 2289, 8, 10, 132, 73, 306, 86, 6543, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 3676, 6, 1918, 6, 163, 406, 6, 3676, 6, 8, 1918, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50640, 50427, 53808, 51013, 51057, 54595, 51192, 50415, 51898, 50893, 54246, 51191, 52355, 51318, 53779, 75542, 56435, 51059, 55008, 51419, 62999, 59748, 53779, 53213, 53808, 52409, 51074, 50421, 52211, 50802, 53779, 51006, 50425, 51898, 78591, 53437, 61536, 50816, 54023, 50605, 50962, 50428, 52384, 51286, 51947, 51110, 52148, 51221, 50429, 53779, 64247, 50816, 61721, 52298, 50823, 52211, 50911, 50433, 53779, 52791, 57869, 53779, 58212, 51431, 50923, 50437, 51898, 51167, 54108, 51477, 52926, 51343, 52824, 51318, 51057, 50816, 50912, 50415, 53779, 50860, 50416, 63513, 51294, 50418, 52298, 52677, 65739, 52211, 50860, 53779, 61456, 51431, 51192, 72130, 63750, 51898, 71783, 52377, 50975, 53779, 64262, 53084, 50967, 52058, 51346, 50428, 51485, 56867, 66113, 52298, 55508, 52810, 53779, 57485, 50816, 60157, 52298, 50828, 51744, 53241, 53779, 58198, 51431, 51352, 50437, 56435, 51407, 54246, 51894, 52355, 52500, 51784, 51605, 59052, 53779, 55720, 61195, 53779, 60873, 50977, 50424, 51947, 50897, 52384, 50823, 52148, 50897, 51694, 50376, 56424, 57850, 50816, 50374, 56424, 54440, 50816, 51006, 50433, 53779, 51138, 50436, 51947, 51364, 52384, 51029, 52148, 51343, 51057, 50816, 51006, 50415, 53779, 51021, 61889, 51058, 53779, 51021, 50424, 52298, 55341, 51485, 52677, 51254, 50427, 53779, 65492, 51898, 58443, 51431, 74451, 51058, 53779, 52674, 53779, 57880, 51431, 51059, 56435, 51059, 52355, 51573, 51784, 51294, 51057, 51744, 50824, 54246, 51294, 50816, 50978, 50415, 53779, 60208, 53779, 55492, 53779, 50962, 50421, 50816, 75110, 53779, 50882, 50425, 52298, 68907, 51485, 50936, 52384, 50976, 51947, 51215, 52148, 59958, 50866, 53779, 63043, 53779, 52726, 51431, 52108, 62886, 51898, 50806, 53779, 61968, 53779, 58198, 52355, 51059, 51784, 51343, 52714, 51472, 50816, 59701, 51744, 51059, 55129, 52097, 51057, 51431, 51059, 50415, 50816, 50374, 56424, 50860, 67745, 62846, 50816, 51174, 53779, 51021, 50425, 51702, 51066, 52148, 56003, 51485, 50802, 51947, 51227, 50427, 52298, 50976, 53779, 55720, 61957, 50816, 64662, 51431, 50805, 51898, 51177, 53779, 51030, 57177, 50977, 50437, 54108, 51359, 52926, 51184, 52824, 51696, 51057, 51485, 50911, 63513, 51352, 50415, 52298, 50802, 53779, 51021, 62999, 50866, 50419, 51744, 72882, 51431, 51505, 50421, 53779, 54433, 50816, 51174, 50425, 51509, 64131, 51485, 50993, 52377, 50803, 53084, 50921, 50427, 52058, 50925, 53779, 50962, 63261, 60155, 53779, 50894, 50431, 50816, 53705, 51431, 50975, 51744, 51483, 50433, 53779, 50890, 57671, 64042, 53779, 64141, 52058, 70759, 51058, 51057, 52298, 50993, 51485, 51090, 52377, 50976, 53084, 51483, 50416, 53779, 50948, 50419, 50816, 51058, 50422, 53779, 72309, 50816, 50375, 56424, 50948, 50427, 52211, 50803, 52298, 72819, 50978, 50430, 53779, 53974, 51431, 50860, 51898, 74439, 50816, 59880, 53779, 50811, 57008, 61842, 51485, 50940, 53779, 50800, 51057, 79215, 52298, 50823, 63513, 51552, 50415, 52926, 51496, 52824, 51364, 50816, 51097, 50416, 54108, 51318, 53779, 72531, 53779, 74581, 53779, 50962, 50425, 51485, 51745, 52058, 50800, 52377, 50803, 53084, 50952, 53779, 51973, 52298, 58542, 53779, 56409, 59833, 53779, 56896, 50816, 56579, 53779, 52791, 59701, 51898, 50824, 52926, 51552, 53779, 50858, 51057, 51431, 51072, 56787, 51029, 54108, 51391, 50816, 57780, 53779, 60208, 50816, 55772, 53779, 77287, 50816, 63140, 53779, 51138, 50424, 52211, 63759, 61521, 52298, 51016, 52377, 50860, 53084, 51030, 52058, 50879, 77627, 58594, 53779, 50962, 72958, 56626, 53779, 50950, 57177, 51006, 50436, 51898, 51016, 52355, 53241, 54246, 51894, 51784, 51605, 53779, 79737, 51431, 50824, 56435, 51795, 51057, 53779, 59196, 50816, 55095, 50605, 54681, 50816, 51058, 53779, 65366, 51431, 51407, 51947, 50942, 52384, 51033, 52148, 50917, 53779, 70576, 51744, 51407, 77627, 50370, 56424, 50893, 72958, 63502, 50816, 59890, 53779, 66144, 52384, 51745, 51947, 51204, 52148, 51091, 50816, 51058, 51057, 53779, 59176, 53779, 64039, 50816, 53066, 53779, 50962, 50421, 50816, 55470, 53779, 65366, 65552, 50425, 52298, 58595, 51485, 50976, 50427, 53779, 52634, 64408, 53779, 55579, 51174, 50431, 51898, 70192, 51431, 51100, 50433, 53779, 51138, 50436, 52824, 51991, 50816, 50978, 50437, 52211, 50993, 63513, 52512, 52926, 53241, 54108, 51945, 51057, 52298, 51290, 50415, 53779, 50882, 50418, 53779, 50858, 50419, 50816, 62488, 50816, 50372, 56424, 53467, 52298, 51356, 50424, 53779, 65418, 51485, 51009, 52377, 50802, 53084, 50911, 52058, 51175, 50816, 61822, 50816, 50374, 56424, 70328, 53779, 59798, 51376, 50437, 53779, 54015, 50866, 51057, 56787, 51029, 50416, 53779, 50858, 50419, 50816, 50938, 53779, 52801, 51898, 50975, 53779, 58067, 51431, 50976, 52377, 52677, 50866, 53779, 54856, 53084, 50911, 52058, 51060, 50429, 53779, 50911, 50431, 52298, 68766, 53437, 50884, 53808, 51427, 50816, 50955, 50436, 55008, 51692, 54246, 51933, 52355, 51422, 50437, 51898, 51407, 56435, 51566, 53779, 54494, 51477, 59052, 54595, 51407, 50416, 53689, 64527, 52384, 63606, 63513, 51290, 53779, 52674, 52384, 50948, 50436, 51947, 50893, 52148, 53757, 61868, 50709, 50277, 50802, 53779, 50803, 51038, 50426, 53808, 59184, 54246, 51091, 52355, 51134, 50436, 55008, 51391, 50437, 56435, 51029, 51057, 54595, 50976, 51898, 51286, 53779, 52409, 50924, 50417, 53779, 52244, 53808, 50803, 52211, 52677, 50371, 56424, 75335, 50816, 51006, 50425, 51898, 68907, 53437, 50802, 52384, 50860, 51947, 50795, 52148, 74083, 53779, 50921, 67654, 64205, 52298, 50917, 52211, 52030, 50816, 61231, 53779, 56966, 50816, 51645, 50436, 52824, 51141, 50437, 51431, 50936, 51898, 51100, 63513, 51343, 54108, 51477, 52926, 51552, 53779, 50803, 51057, 52298, 69939, 53779, 71249, 52298, 68282, 52211, 55720, 51043, 50423, 53779, 78960, 51898, 51121, 51431, 51173, 50425, 52384, 50823, 52148, 51014, 51947, 57316, 52058, 54694, 51485, 52108, 54023, 50605, 50936, 50430, 52298, 57359, 50816, 50904, 57177, 50978, 50436, 51431, 51352, 51744, 51941, 56435, 51009, 53779, 57784, 54246, 51692, 52355, 51941, 51784, 51518, 61234, 53779, 54275, 50816, 51006, 50419, 53779, 55884, 50816, 51376, 53779, 50894, 50424, 52384, 50894, 51947, 50830, 52148, 63265, 53779, 50917, 67654, 60539, 53779, 62960, 52384, 51072, 52148, 51048, 51947, 51091, 50816, 51642, 51057, 53779, 57487, 50816, 51484, 50421, 53779, 50806, 50425, 52298, 50802, 51485, 61156, 53779, 50948, 50431, 51898, 51177, 51431, 64194, 65176, 53779, 66454, 51784, 51091, 52355, 51745, 54246, 72750, 61360, 51431, 50824, 51744, 54565, 50867, 51057, 56435, 51059, 50415, 53779, 50893, 50416, 50816, 66182, 50816, 59993, 53779, 52108, 51006, 50424, 52298, 65214, 51485, 51012, 51947, 50917, 52384, 50948, 52148, 50901, 50428, 53779, 53757, 50937, 50431, 51898, 51173, 51431, 51060, 57671, 50933, 53779, 50936, 50436, 51784, 51283, 50437, 51431, 51059, 51744, 51059, 55129, 51552, 52355, 51542, 52714, 51318, 61234, 50816, 51006, 53779, 50879, 63741, 51058, 53779, 63790, 52298, 50802, 51947, 50917, 51702, 50860, 52148, 50911, 53779, 52450, 51485, 60280, 50816, 51174, 53779, 70328, 51898, 51192, 51431, 77066, 53779, 51241, 57177, 51006, 50436, 52926, 52536, 52824, 51991, 50437, 52298, 51167, 63513, 52208, 54108, 51714, 51057, 51485, 50976, 62999, 51058, 50419 ]
[ 0, 713, 5175, 3495, 2214, 7630, 6568, 10, 19448, 8, 12298, 6711, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 15352, 30054, 11739, 9, 38668, 11212, 6, 13305, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 8, 3551, 139, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 163, 428, 401, 6, 274, 119, 401, 6, 272, 406, 6, 12608, 6, 8, 12608, 119, 6, 1271, 7, 63, 32625, 8, 17627, 17274, 13569, 9862, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 66243, 51526, 51936, 50302, 50893, 54908, 72502, 56209, 52585, 78171, 55260, 52585, 78171, 55764, 51416, 72502, 50893, 68496, 54484, 50956, 54484, 51099, 51003, 51308, 51003, 51639, 58299, 51099, 51003, 51153, 51003, 51639, 56509, 51099, 51003, 51777, 51003, 51639, 57197, 51639, 50901, 51099, 50901, 51153, 55670, 51099, 51003, 51308, 51003, 51639, 51003, 52591, 51099, 50901, 51308, 50901, 51639, 55035, 51099, 51003, 51153, 51003, 51639, 60307, 51526, 51936, 50302, 50893, 54908, 72502, 50893, 51099, 51003, 51777, 51003, 51639, 60510, 52585, 78171, 55260, 52585, 78171, 50893, 51639, 51003, 51153, 51003, 51099, 59827, 51416, 72502, 50893, 68496, 54484, 50956, 54484, 51099, 51003, 51308, 51003, 51639, 58299, 51099, 51003, 51153, 51003, 51639, 56509, 51099, 51003, 51777, 51003, 51639, 57197, 51099, 50901, 77480, 51639, 55670, 51308, 51003, 51639, 51003, 51099, 51003, 52591, 51099, 50901, 51308, 50901, 51639, 55035, 51639, 51003, 51099, 51003, 51153, 60307, 51526, 51936, 50302, 50893, 54908, 72502, 50893, 51099, 51003, 51777, 51003, 51639, 60510, 52585, 78171, 54581, 52768, 52585, 78171, 54581, 68617, 51003, 51153, 51003, 51639, 59827, 51416, 72502, 54581, 50811, 50799, 59523, 51353, 56348, 51353, 56154, 51353, 52585, 52530, 50307, 51016, 52317, 50918, 52963, 50811, 51948, 51353, 51639, 51353, 51516, 51353, 51039, 52968, 55301, 63837, 54581, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 70606, 59165, 53903, 51453, 50811, 50799, 56348, 51183, 56154, 51183, 59523, 51183, 50742, 50329, 51003, 52585, 51696, 50956, 51696, 53146, 52299, 53903, 51039, 52968, 59635, 51003, 51829, 53694, 53903, 51361, 52952, 56348, 51003, 56154, 51003, 59523, 50901, 52317, 51599, 51156, 52940, 59523, 50901, 52317, 51331, 52768, 59917, 50901, 52977, 51812, 51156, 52884, 55443, 51003, 59523, 51003, 56699, 53651, 52317, 60837, 50811, 63065, 52530, 50305, 51016, 52963, 53213, 55443, 50901, 51859, 52744, 52968, 56154, 51692, 55301, 63837, 50893, 51676, 57439, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 70606, 59165, 53903, 51453, 50811, 50799, 50742, 50329, 50901, 55443, 51183, 56154, 51183, 59523, 51183, 52458, 51696, 51040, 51696, 53146, 51599, 51156, 53213, 50742, 50329, 50901, 53146, 51331, 52968, 59635, 51003, 51829, 53694, 53903, 51361, 52952, 59523, 51003, 56699, 51003, 55443, 51003, 56154, 51003, 52317, 52299, 53903, 51180, 52768, 59917, 50901, 52977, 51812, 51156, 52884, 54491, 53651, 59523, 51003, 55409, 51003, 52317, 52448, 50811, 54920, 79230, 51016, 52963, 53213, 55443, 50901, 51859, 51331, 52968, 56154, 51692, 55409, 51692, 55301, 63837, 50893, 51676, 57439, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 70606, 59165, 53903, 51453, 50811, 50799, 55409, 51183, 56154, 51183, 59523, 51183, 50742, 50329, 51003, 51416, 51696, 50900, 51696, 53146, 52299, 53903, 51039, 52968, 59635, 51003, 51829, 53694, 53903, 51361, 52952, 55409, 51295, 56154, 51295, 59523, 51003, 52317, 52299, 53903, 51180, 52768, 59635, 50901, 51829, 51812, 51156, 52884, 56765, 51295, 54491, 51295, 58328, 51003, 52421, 52448, 50811, 51094, 50300, 51356, 50965, 51356, 52963, 53213, 56348, 50901, 53088, 51331, 52968, 54491, 50901, 52301, 51812, 51156, 52726, 54491, 51790, 56348, 51790, 56765, 51790, 53088, 52959, 50811, 63370, 52530, 50307, 51016, 52963, 66901, 52768, 52585, 52530, 50307, 59165, 53903, 51453, 50811, 50799, 56765, 51295, 54491, 51295, 58328, 50901, 54785, 51356, 50965, 51356, 52421, 51599, 51156, 53213, 55443, 50901, 51859, 51331, 52968, 56348, 50901, 53088, 51812, 51156, 52726, 56765, 51790, 54491, 51790, 55443, 51003, 51859, 52448, 50811, 63370, 52530, 50307, 51016, 52963, 52940, 56348, 51295, 53088, 55115, 52768, 52585, 52530, 50307, 59165, 53903, 51453, 50811, 50799, 56765, 51183, 58328, 51194, 54491, 51183, 54785, 51356, 50965, 51356, 52421, 50975, 52963, 66421, 57646, 55443, 51194, 51859, 50975, 51302, 53903, 50430, 56348, 51194, 53088, 50975, 51361, 52952, 56765, 51183, 54491, 51183, 56348, 51295, 52585, 52530, 50307, 51016, 53088, 51029, 52963, 66901, 52768, 52585, 52530, 50307, 59165, 51156, 52884, 56348, 50901, 53088, 51331, 50811, 50799, 59523, 51194, 55646, 51183, 56348, 51183, 54785, 51356, 50965, 51356, 52317, 50975, 52963, 66421, 57646, 59917, 51194, 52977, 50975, 51302, 53903, 50430, 59523, 51194, 52317, 50975, 51361, 52952, 55646, 51183, 58328, 50901, 56765, 51183, 54785, 51356, 50965, 51356, 52421, 51599, 51156, 52940, 56348, 50901, 53088, 51331, 52768, 56348, 51003, 53088, 53694, 53903, 51453, 50811, 50799, 54677, 51003, 56348, 51003, 56154, 51692, 52585, 51356, 50956, 51356, 51676, 50967, 52963, 66421, 52968, 54677, 51003, 56348, 58379, 53903, 51361, 52952, 54677, 50901, 56348, 50901, 52585, 51356, 50956, 51356, 52963, 52940, 54677, 51295, 56348, 51295, 50791, 52768, 56154, 50901, 51676, 51812, 51156, 52884, 56154, 50901, 51676, 51331, 50811, 50799, 55646, 51295, 56348, 51295, 56154, 50901, 52585, 51356, 50956, 51356, 51676, 51599, 51156, 53213, 56154, 51003, 51676, 58101, 50811, 75851, 52726, 55443, 51003, 54997, 51790, 55646, 51790, 51859, 52448, 50811, 63370, 51356, 50956, 51356, 52963, 52940, 56348, 51295, 53088, 55115, 50811, 51382, 53903, 51453, 50811, 50799, 56348, 51003, 56154, 51692, 54491, 51003, 52585, 51356, 50956, 51356, 51676, 50967, 52963, 66421, 52968, 56348, 51003, 54491, 58379, 53903, 51361, 52952, 54491, 50901, 56348, 50901, 52585, 51356, 50956, 51356, 52963, 52940, 54491, 51295, 56348, 51295, 50791, 52768, 56154, 50901, 51676, 51812, 51156, 52884, 56154, 50901, 51676, 51331, 50811, 50799, 50742, 50329, 50901, 52585, 51356, 50956, 51356, 53146, 51599, 51156, 53213, 56154, 51003, 56699, 51003, 51676, 52448, 50811, 75851, 52726, 56699, 51790, 55443, 51003, 54997, 51790, 51859, 52448, 50811, 63370, 52530, 50307, 51016, 52963, 52940, 56348, 51295, 53088, 55115, 52768, 52993, 67957, 59165, 53903, 51453, 50811, 50799, 54491, 51183, 56348, 51183, 59523, 51194, 54785, 51175, 50965, 51175, 52317, 50975, 52963, 57646, 59917, 51194, 55301, 51175, 50876, 51175, 52977, 50975, 52963, 58459, 59523, 51194, 62733, 51175, 51001, 51175, 52317, 50975, 52963, 52952, 59917, 51194, 54677, 51183, 56348, 51183, 52585, 51175, 50956, 51175, 52977, 50975, 52963, 57915, 56154, 51194, 52993, 51175, 50861, 51175, 51676, 50975, 52963, 59154, 59917, 51194, 55298, 51175, 50906, 51175, 52977, 50975, 52963, 50811, 50799, 56348, 51183, 59917, 51183, 59523, 51183, 54491, 51183, 51526, 51696, 50997, 51696, 52317, 50967, 52963, 52952, 56765, 51183, 54491, 51183, 56348, 51194, 53088, 74661, 56348, 51194, 53088, 72747, 56348, 51194, 53088, 50975, 50799, 58328, 50901, 52585, 52530, 50307, 51016, 52421, 51599, 51156, 53213, 54677, 51692, 55443, 51692, 54997, 51692, 51859, 75122, 52968, 55301, 63837, 54581, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 67782, 54581, 51156, 52884, 54997, 53651, 54677, 53651, 56348, 53651, 55301, 68638, 51016, 53088, 52442, 50791, 50811, 51528, 51156, 53213, 57058, 74690, 53734, 52968, 55298, 67782, 54581, 51156, 52726, 55301, 68638, 55637 ]
[ 0, 713, 14899, 5175, 2214, 11, 230, 538, 22750, 1626, 1313, 1007, 19, 63, 15352, 30054, 2301, 8, 33558, 223, 34693, 4, 27901, 10, 2382, 3459, 8669, 6, 21979, 8669, 6, 3459, 9590, 6, 20535, 483, 6, 8, 21072, 6, 24, 11498, 10, 20902, 27841, 139, 20889, 11, 204, 73, 306, 86, 4, 20, 33215, 16739, 9, 272, 6, 274, 406, 6, 8, 230, 4620, 5, 46336, 24456, 9, 42, 33928, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 65919, 50426, 53392, 53663, 53138, 52313, 53789, 54098, 53789, 51795, 53285, 50802, 51118, 51141, 51089, 51141, 51023, 51141, 68574, 51149, 50824, 51649, 54107, 51069, 66047, 70011, 51649, 52030, 51118, 68094, 50808, 62327, 77924, 51149, 50976, 51649, 61147, 60378, 51118, 51077, 51089, 51077, 51023, 63883, 50909, 50802, 70011, 51649, 52175, 51069, 57866, 50823, 51149, 50823, 51649, 54178, 53138, 50824, 52288, 64260, 51141, 51061, 51141, 51023, 51141, 78136, 51257, 50824, 51649, 54107, 55952, 72206, 51257, 50802, 51649, 52030, 51083, 50808, 63941, 62327, 51007, 50976, 51257, 50976, 51649, 50976, 53758, 64260, 51077, 51061, 51077, 51023, 63883, 72206, 51257, 50802, 51649, 52175, 55952, 51007, 50823, 51257, 50823, 51649, 54178, 53789, 51184, 53285, 50802, 51118, 51141, 51089, 51141, 51023, 51141, 68574, 51149, 50824, 51649, 54107, 51069, 66047, 70011, 51649, 52030, 51118, 68094, 50808, 62327, 77924, 51149, 50976, 51649, 61147, 60378, 51118, 51077, 51089, 51077, 51023, 63883, 50909, 50802, 70011, 51649, 52175, 51069, 57866, 50823, 51149, 50823, 51649, 54178, 53138, 51029, 52288, 64260, 51141, 51061, 51141, 51023, 51141, 78136, 51257, 50824, 51649, 54107, 55952, 72206, 51257, 50802, 51649, 50802, 53392, 53566, 51083, 50808, 63941, 62327, 51007, 50976, 51257, 50976, 51649, 50976, 53758, 64260, 51077, 51061, 51077, 51023, 51077, 53138, 52313, 72206, 51257, 50802, 51649, 50802, 53789, 54145, 55952, 51007, 50823, 51257, 50823, 51649, 54178, 53789, 51184, 56142, 64260, 51141, 51061, 51141, 51193, 51141, 78136, 51257, 50824, 52403, 54107, 78807, 72206, 51257, 50802, 52403, 52030, 51083, 50808, 63941, 62559, 51007, 50976, 51257, 50976, 52403, 61147, 51443, 64260, 51077, 51061, 51077, 51193, 63883, 72206, 51257, 50802, 52403, 52175, 78807, 51007, 50823, 51257, 50823, 52403, 54178, 53138, 51029, 52534, 50802, 51118, 51141, 51089, 51141, 51092, 51141, 68574, 51149, 50824, 52138, 54107, 56372, 50909, 50802, 70011, 52138, 52030, 51118, 68094, 50808, 79753, 77924, 51149, 50976, 52138, 50976, 56107, 50802, 51118, 51077, 51089, 51077, 51092, 63883, 50909, 50802, 70011, 52138, 51599, 52568, 56372, 50909, 50823, 51149, 50823, 52138, 52865, 52193, 53789, 62167, 54455, 50802, 52354, 50975, 53687, 51009, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 53789, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57386, 57263, 51298, 50803, 78482, 51649, 53606, 50316, 51599, 51463, 51663, 56499, 50856, 53644, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53789, 54158, 61808, 54455, 52125, 69948, 53687, 51009, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 54607, 51599, 51663, 56650, 50856, 53885, 54408, 63058, 50856, 53595, 69948, 50872, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 51670, 51463, 51663, 56246, 50856, 53650, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53014, 55415, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51029, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 54031, 53392, 55415, 55893, 50856, 53516, 75726, 57386, 57263, 51298, 50803, 78482, 51649, 51520, 51463, 51663, 56499, 50856, 53644, 53687, 55868, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53392, 64021, 54292, 69948, 54455, 55868, 80228, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 56650, 50856, 53885, 54111, 55373, 50856, 53595, 69948, 52341, 55868, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 50811, 53392, 51599, 51463, 51663, 56246, 50856, 53650, 54111, 55868, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 56273, 54158, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51009, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 53392, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57386, 57263, 51298, 50803, 78482, 51649, 53606, 50304, 52299, 51463, 51663, 56499, 50856, 53644, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 54158, 61808, 54455, 52125, 69948, 53687, 58602, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 56273, 51599, 51663, 56650, 50856, 53885, 53392, 63058, 50856, 53595, 69948, 50872, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 51670, 51463, 51663, 56246, 50856, 60305, 54455, 52325, 53687, 50993, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53392, 51407, 50856, 56924, 50856, 50895, 52354, 50975, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 57705, 54455, 52244, 54111, 54158, 55893, 50856, 53516, 75726, 52341, 55868, 50803, 57263, 51298, 50803, 78482, 51649, 51520, 51463, 51663, 56499, 50856, 53644, 53289, 55868, 65046, 51298, 50802, 51257, 50802, 51649, 54158, 54292, 69948, 51634, 55868, 80228, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 56650, 50856, 53885, 51843, 55373, 50856, 53595, 69948, 51849, 77732, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 51670, 51463, 51663, 56246, 50856, 53650, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53392, 54158, 56924, 50856, 50895, 54516, 50975, 50992, 50824, 78136, 51257, 50824, 52403, 50824, 53789, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 51186, 50975, 51281, 51077, 51185, 51077, 51530, 51077, 50992, 74779, 50811, 51257, 50811, 52403, 50811, 53789, 52299, 51463, 51663, 56499, 50856, 53644, 50992, 50802, 72206, 51257, 50802, 52403, 54158, 50895, 53357, 50975, 50992, 50824, 78136, 51257, 50824, 52403, 50824, 54607, 51599, 51663, 56650, 50856, 53885, 54408, 63058, 50856, 53595, 75726, 51281, 50889, 51185, 50889, 51530, 50889, 50992, 74779, 50811, 51257, 50811, 52403, 51670, 51463, 51663, 56246, 50856, 53650, 50992, 50802, 72206, 51257, 50802, 52403, 50802, 53014, 55415, 56924, 50856, 50895, 54516, 50975, 51281, 50889, 51185, 50889, 51530, 50889, 50992, 50824, 78136, 51257, 50824, 52403, 52299, 51663, 54031, 53392, 55415, 55893, 50856, 53516, 51186, 50975, 51281, 50805, 51185, 50805, 51530, 59863, 74779, 50811, 51257, 50811, 52403, 51670, 51463, 51663, 56499, 50856, 53644, 51281, 50805, 51185, 50805, 51530, 59863, 50802, 72206, 51257, 50802, 52403, 50802, 53392, 55415, 50895, 53357, 50975, 51281, 50805, 51185, 50805, 51530, 59863, 50824, 78136, 51257, 50824, 52403, 52299, 51663, 56650, 50856, 53885, 51281, 50805, 51185, 50805, 51530, 50805, 53392, 55373, 50856, 53595, 75726, 50992, 74779, 50811, 51257, 50811, 52403, 50811, 53392, 52299, 51463, 51663, 56246, 50856, 53650, 50992, 50802, 72206, 51257, 50802, 52403, 50802, 56273, 54158, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51009, 58051, 68574, 51298, 50824, 51257, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57263, 59726, 51298, 50803, 51257, 53606, 50304, 52299, 51463, 51663, 56499, 50856, 53644, 50850, 66047, 51298, 50802, 51257, 54158, 61808, 54455, 52125, 69948, 53687, 51009, 58051, 68574, 51298, 50824, 51257, 50824, 56273, 51599, 51663, 56650, 50856, 53885, 53392, 63058, 50856, 53595, 69948, 50850, 64622, 50811, 51298, 50811, 51257, 51670, 51463, 51663, 56246, 50856, 53650, 50850, 66047, 51298, 50802, 51257, 50802, 53392, 51795, 50856, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51029, 58051, 68574, 51298, 50824, 51257, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57263, 59726, 51298, 50803, 51257, 51520, 51463, 51663, 56499, 50856, 53644, 53687, 56491, 66047 ]
[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2214, 11, 230, 538, 6, 4246, 10, 2635, 226, 22740, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 21072, 694, 10, 16634, 12989, 1328, 5, 2125, 6, 61, 16, 17407, 30, 10, 33215, 16739, 9, 230, 6, 1918, 406, 6, 272, 6, 8, 1918, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 55986, 53466, 50843, 51242, 57315, 51212, 57702, 63105, 50877, 67089, 69667, 51058, 56229, 51283, 51247, 51446, 50931, 51749, 50999, 51749, 50877, 52528, 50876, 52528, 51050, 52720, 50798, 71109, 58724, 51000, 52338, 51295, 51996, 51295, 50416, 50920, 72593, 51118, 50838, 52352, 51462, 53332, 51000, 56952, 67643, 51083, 50932, 51895, 51635, 66611, 56323, 51023, 50838, 52574, 51102, 50833, 53775, 50874, 54030, 77285, 51118, 51484, 52352, 52271, 59383, 55123, 50808, 63268, 63302, 76884, 51020, 62285, 51582, 63740, 50857, 52338, 50839, 51996, 52950, 77743, 50968, 51423, 50951, 51423, 55123, 51077, 51061, 53656, 51141, 51340, 51398, 51000, 52338, 51183, 51996, 51183, 50440, 50920, 74965, 51118, 51172, 69134, 57522, 50920, 70003, 61524, 63095, 64304, 51083, 57202, 53740, 76606, 50920, 55634, 71477, 50876, 51534, 50931, 51534, 50906, 52845, 50318, 51333, 51023, 77487, 54881, 54701, 51167, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51172, 58539, 51453, 57110, 50951, 51008, 50902, 52169, 50320, 51058, 51020, 55336, 50930, 58479, 51477, 51247, 51446, 50931, 51749, 50931, 51627, 50877, 52528, 50876, 52528, 51061, 53656, 51141, 51340, 51398, 51000, 52338, 51295, 51996, 51295, 50416, 50920, 72593, 51118, 51309, 53510, 51462, 53332, 51000, 56952, 67643, 51083, 51006, 51927, 51635, 51254, 51070, 65869, 50920, 52966, 51023, 71730, 58665, 50833, 53775, 50874, 54030, 77285, 51118, 51172, 51895, 52271, 66380, 55123, 50808, 50951, 51008, 51081, 51008, 50951, 51006, 51020, 62285, 51582, 63740, 50857, 52338, 50839, 51996, 52950, 51081, 51309, 51081, 51423, 51146, 51423, 55123, 51077, 51061, 53656, 71109, 59345, 51000, 52338, 51183, 51996, 51183, 50440, 50920, 67387, 51118, 51309, 73989, 57522, 50920, 70003, 50999, 70453, 52019, 50328, 51097, 51083, 57202, 53740, 76606, 50920, 52846, 50902, 77418, 51333, 51023, 77487, 51204, 50791, 52546, 50980, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51309, 51983, 51453, 58323, 51081, 50933, 51081, 51008, 51146, 51008, 51020, 55336, 57319, 50791, 50883, 59733, 51627, 51062, 51749, 51339, 51749, 51247, 51446, 50877, 52528, 50876, 52528, 51061, 62285, 71109, 59345, 51000, 52338, 51295, 51996, 51295, 50416, 50920, 72593, 51118, 51277, 51895, 51462, 53332, 51000, 56952, 67643, 51083, 50838, 52352, 51635, 66611, 65869, 50920, 52966, 51023, 71730, 57148, 50925, 53775, 50874, 54030, 77285, 51118, 51172, 53510, 52271, 59383, 55123, 51731, 50330, 51008, 51081, 52169, 50326, 51058, 51020, 51006, 58471, 51190, 51765, 50857, 52338, 50862, 51996, 52950, 50999, 66750, 51764, 50328, 51764, 50273, 51077, 51061, 62285, 51446, 50791, 58724, 51000, 52338, 51562, 51996, 51562, 50440, 51081, 76819, 51764, 50330, 55365, 67387, 50999, 51542, 51062, 51542, 50999, 51381, 51118, 51277, 50791, 53740, 57522, 50920, 60402, 51083, 51006, 64866, 55634, 50906, 52845, 50318, 51333, 51023, 77487, 71109, 53696, 50980, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51172, 52622, 51453, 58472, 51081, 50874, 50951, 75766, 51058, 51020, 57202, 50930, 52338, 50839, 51996, 50839, 56229, 64369, 51309, 50999, 51423, 51247, 51446, 50877, 52528, 50876, 52528, 51061, 53656, 51141, 51441, 51398, 51000, 52338, 51562, 51996, 51562, 50416, 50920, 70637, 51118, 51309, 54958, 51462, 53332, 51000, 56952, 58640, 50877, 79018, 63348, 51381, 51083, 57202, 50366, 51635, 51254, 51070, 65869, 50920, 56323, 51023, 71730, 57148, 50925, 53775, 50874, 54030, 77285, 51118, 51309, 52352, 52271, 66380, 55123, 59473, 69138, 52363, 50323, 51006, 51020, 53656, 51582, 63740, 50857, 52665, 50977, 51946, 60592, 55123, 51077, 50931, 52062, 50877, 51445, 50876, 51445, 51061, 53656, 51446, 50791, 59345, 51000, 52338, 51183, 51996, 51353, 50440, 50920, 67387, 51118, 71730, 54435, 57522, 50920, 60402, 51083, 57202, 53740, 76606, 50920, 52846, 50906, 52845, 50318, 51333, 51023, 77487, 50805, 56370, 51192, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51172, 52008, 51453, 57059, 51020, 55336, 50855, 54734, 51204, 50876, 51490, 50931, 51490, 51061, 51006, 57587, 60881, 51204, 50791, 57503, 51000, 50416, 50920, 72593, 51118, 51172, 51895, 51462, 53332, 51000, 56952, 67643, 51083, 50933, 51287, 51635, 66611, 65869, 50920, 52966, 51061, 51006, 59811, 50833, 53775, 50874, 54030, 77285, 52206, 50910, 51118, 50838, 51960, 56817, 50974, 55199, 78239, 53492, 71864, 50864, 52334, 55476, 50822, 53807, 50974, 50436, 52039, 52781, 51247, 51141, 50877, 51243, 51898, 54035, 71109, 58724, 51000, 52338, 51310, 51996, 51310, 51567, 52140, 52037, 52140, 52792, 52140, 50440, 50920, 74965, 51118, 51852, 52352, 51462, 53332, 57522, 50920, 70003, 51083, 51852, 51898, 51437, 61318, 66611, 55634, 51898, 50905, 52574, 51102, 50833, 53775, 50851, 54030, 65126, 51118, 51852, 52352, 52271, 61034, 51247, 71864, 51079, 51898, 54200, 51582, 63740, 50857, 52338, 50834, 51996, 59933, 51898, 50820, 54734, 50889, 51092, 51965, 51898, 61525, 51141, 51340, 51398, 51000, 52338, 51145, 51996, 51145, 50416, 50920, 72593, 51118, 51852, 69134, 51000, 56952, 67643, 51083, 51254, 52039, 51373, 53740, 65869, 50920, 56323, 51799, 50889, 51020, 51753, 52334, 54371, 54881, 54701, 51167, 51889, 50857, 53775, 50851, 54030, 50851, 51584, 51108, 51612, 51108, 52037, 51108, 50430, 51118, 56975, 56761, 52039, 51437, 56446, 51083, 51254, 51898, 52854, 56341, 52206, 51141, 50876, 51627, 51118, 51079, 52039, 60881, 51141, 51340, 51398, 51000, 52338, 51310, 53064, 51448, 51567, 51449, 52075, 51449, 52290, 51449, 50440, 50920, 74965, 53510, 51462, 53332, 57522, 50920, 70003, 51118, 51797, 51927, 51635, 51254, 51070, 76606, 50920, 52846, 51083, 67700, 58665, 50833, 53807, 50851, 55199, 65126, 51020, 51753, 51895, 52271, 73706, 52206, 60611, 51006, 51118, 51254, 62709, 63740, 50857, 56049, 50834, 52338, 50834, 61628, 51077, 50861, 51080, 51023, 51806, 50798, 71109, 59345, 51000, 56049, 51145, 52338, 51145, 50416, 50920, 70637, 51118, 51852, 73989, 51000, 56952, 67643, 51083, 56975, 53740, 65869, 50920, 52966, 51020, 51330, 50804, 51204, 50791, 52546, 50980, 51889, 50857, 53807, 50851, 55199, 64756, 51557, 51079, 51983, 51361, 58608, 51083, 51254, 54595, 51437, 58024, 54595, 51559, 53294, 52206, 51141, 50861, 51680, 51118, 51852, 52039, 53840, 71109, 59345, 51000, 52338, 51310, 53064, 51310, 51567, 51449, 52075, 51449, 52290, 51449, 50440, 50920, 74965, 51083, 51852, 51895, 51462, 53332, 57522, 52039, 52539, 70003, 52039, 51373, 65774, 66611, 76606, 50920, 52846, 51118, 51852, 52039, 51559, 57148, 50925, 53807, 50851, 55199, 65126, 51083, 51254, 52039, 51373, 77985, 61034, 52206, 50808, 51020, 51852, 52039, 55576, 50808, 51190, 51765, 50857, 52338, 50834, 53064, 50834, 61628, 50889, 51118, 51852, 52039, 53197, 51446, 50791, 58724, 51000, 52338, 51145, 53064, 51145, 50416, 50920, 70637, 51083, 51079, 52039, 51373, 53740, 51000, 56952, 58640, 51020, 51797, 52334, 50878, 64866, 56323, 52759, 59428, 50932, 51118, 51852, 51898, 53119, 71109, 53696, 50980, 51889, 50857, 53807, 50851, 55199, 64756, 51023, 51961, 51898, 50878, 52622, 51361, 57535, 51083, 51753, 52039, 52854, 56341, 51799, 51141, 50877, 51627, 52334, 66099, 51141, 51441, 51398, 51000, 55308, 51310, 52665, 51310, 51612, 52140, 52037, 52140, 52792 ]
[ 0, 1121, 42, 15352, 30054, 5175, 2214, 6, 41, 81, 9756, 8669, 1239, 5, 483, 6, 7513, 30, 10, 6755, 12547, 6, 17605, 9590, 6, 38668, 20535, 6, 8, 36075, 8669, 4, 20, 15229, 6, 278, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 3136, 23, 41, 12447, 1001, 20889, 9, 14881, 13410, 228, 2289, 4, 13231, 5, 2125, 6, 10, 33215, 13931, 9, 211, 6, 230, 6, 211, 6, 8, 1918, 3639, 7, 63, 13363, 28191, 13569, 9862, 6, 2351, 10, 11739, 9, 2933, 8, 20425, 4785, 624, 10, 23975, 2369, 18795, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 66079, 51544, 50834, 51570, 50834, 51382, 54192, 53766, 66222, 51767, 57241, 54160, 50795, 51263, 51100, 51347, 50937, 71568, 50873, 51188, 50932, 51409, 50865, 51320, 54925, 51200, 51210, 50420, 53133, 50845, 51200, 50978, 51409, 50938, 60454, 53631, 50873, 51200, 51109, 75788, 60854, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 64606, 51200, 57787, 51759, 52878, 53133, 50845, 59207, 54160, 50845, 75788, 66222, 51767, 57241, 53133, 50991, 51263, 51100, 51347, 50937, 51931, 70878, 50932, 51409, 50865, 51320, 54925, 51200, 51210, 50420, 53133, 50845, 51200, 50978, 51409, 50938, 60454, 53631, 50873, 51200, 51109, 75788, 60854, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50845, 51188, 51330, 64606, 51200, 57787, 51759, 52878, 53133, 50873, 59207, 54160, 50845, 75788, 54210, 53133, 50943, 52551, 50849, 51583, 50901, 51498, 50845, 51931, 50799, 51347, 51330, 51320, 54925, 51767, 50938, 51263, 70997, 54160, 50795, 51263, 50892, 79224, 51767, 57316, 54380, 50845, 51767, 51073, 75788, 60854, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50795, 51263, 50915, 51767, 56902, 51759, 52878, 54160, 50845, 59207, 56070, 50873, 75788, 54210, 54160, 51221, 52551, 50849, 51583, 50901, 51498, 50845, 51931, 50799, 51347, 51330, 51320, 54925, 51767, 50938, 51263, 70997, 54160, 50845, 51263, 50892, 79224, 51767, 57316, 54380, 50845, 51767, 51073, 75788, 60854, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50845, 51263, 50915, 51767, 56902, 51759, 52878, 54160, 50845, 59207, 56070, 50845, 75788, 66222, 51263, 57414, 54160, 50873, 51347, 51370, 59036, 51497, 50901, 59696, 54925, 51188, 50977, 51245, 52528, 50420, 53133, 69814, 50907, 51201, 50912, 51284, 50907, 51263, 72532, 50977, 60454, 53631, 50795, 51107, 51074, 78041, 51558, 51079, 75788, 60854, 51188, 51377, 51263, 69558, 53133, 50845, 51931, 50437, 51263, 50915, 51188, 56509, 54380, 65584, 51480, 51629, 50829, 51284, 51412, 51304, 51480, 66300, 52878, 53133, 50845, 59207, 54380, 50845, 75788, 54210, 53631, 50991, 51263, 51056, 51931, 50457, 51497, 50893, 74608, 59696, 54925, 51188, 51312, 51245, 51677, 50420, 53133, 50845, 51263, 50892, 60454, 53631, 50873, 75788, 60854, 51263, 51159, 51188, 51056, 50432, 53133, 50873, 63709, 54380, 50873, 51188, 51267, 51263, 51109, 66300, 52878, 53133, 50873, 59207, 54380, 50873, 75788, 54210, 53631, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 70878, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50420, 53133, 69814, 50984, 51600, 50912, 51284, 50912, 79224, 51200, 50978, 51409, 56412, 53631, 69814, 50933, 51182, 50978, 51558, 50978, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 69814, 51480, 51629, 50829, 51284, 50995, 51304, 51253, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53133, 50873, 59207, 54160, 50845, 75788, 54210, 53133, 50795, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 70878, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50420, 53133, 50873, 79224, 51200, 50978, 51409, 56412, 53631, 50873, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50845, 53133, 50845, 59207, 52464, 50795, 54160, 51626, 65987, 52141, 54210, 53367, 50905, 53133, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 52804, 50878, 53133, 50873, 51188, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50417, 53955, 51253, 50420, 53133, 50845, 79224, 51200, 50978, 51409, 56412, 53631, 50873, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50822, 53133, 50845, 59207, 52464, 50795, 54160, 50845, 75788, 54210, 53367, 50810, 53133, 50991, 51931, 50457, 56489, 63679, 51188, 51109, 50799, 52804, 50897, 51320, 54925, 51409, 50937, 51200, 50978, 50417, 53955, 51203, 50420, 53133, 50845, 79224, 77143, 51188, 51174, 51200, 60086, 53631, 50873, 75788, 60854, 51409, 51290, 51188, 51413, 51200, 51312, 50432, 53133, 50845, 63709, 54380, 54035, 51759, 56068, 51200, 51255, 51409, 51238, 50444, 53133, 50873, 59207, 52804, 50807, 54160, 50845, 75788, 54210, 53133, 50943, 52551, 50849, 51583, 50901, 51931, 50457, 51498, 50845, 50799, 53331, 50810, 51347, 51330, 51320, 54925, 51767, 50938, 50416, 51263, 51058, 50417, 53367, 53299, 53857, 50845, 54160, 51370, 58592, 51263, 50892, 51767, 57316, 54380, 50845, 75788, 60854, 51767, 51073, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50795, 51263, 50915, 51767, 56902, 51759, 52878, 53857, 50810, 54160, 50845, 59207, 52804, 50865, 56070, 50873, 75788, 54210, 53857, 50864, 54160, 51221, 52551, 50849, 51583, 50901, 51931, 50457, 51498, 50845, 50799, 54888, 50800, 51347, 51330, 51320, 54925, 51767, 50938, 50416, 51263, 51058, 50417, 53331, 61000, 54160, 50845, 79224, 51263, 50892, 51767, 57316, 54380, 50845, 75788, 60854, 51767, 51073, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50845, 51263, 50915, 51767, 56902, 51759, 52878, 53367, 50878, 54160, 50845, 59207, 52464, 51060, 56070, 50845, 75788, 54210, 54160, 50873, 51263, 50915, 51347, 51370, 59036, 51497, 50901, 50799, 52804, 51060, 51320, 54925, 51188, 50977, 50416, 51245, 52528, 50420, 53133, 50845, 51263, 50892, 79224, 51188, 60086, 53631, 51626, 65987, 52141, 60854, 51188, 51377, 51263, 69558, 53133, 50845, 63709, 54380, 50873, 51263, 50915, 51188, 58955, 51759, 52878, 53367, 50917, 53133, 50845, 59207, 52464, 50830, 54380, 50845, 75788, 54210, 52464, 50830, 53631, 50991, 51263, 51056, 51931, 50457, 51497, 50893, 74608, 50799, 52804, 51060, 51320, 54925, 51188, 51312, 51245, 51677, 50420, 53133, 50845, 51263, 50892, 60454, 53631, 50873, 75788, 60854, 51263, 51159, 51188, 51056, 50432, 53133, 50873, 63709, 54380, 50873, 51188, 51267, 51263, 51109, 66300, 52878, 53367, 50878, 53133, 50873, 59207, 52464, 50800, 54380, 50873, 75788, 54210, 52464, 50830, 53631, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 53955, 50849, 51188, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50420, 53133, 50845, 79224, 51200, 50978, 51409, 56412, 53631, 50845, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50845, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50810, 53133, 50873, 59207, 52464, 50865, 54160, 50845, 75788, 54210, 53367, 50851, 53133, 50795, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 52804, 63651, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50417, 53955, 54644, 53133, 50873, 79224, 51200, 50978, 51409, 56412, 53631, 50873, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50830, 53955, 50897, 53133, 50845, 59207, 52464, 50795, 53286, 50849, 54160, 51626, 65987, 52141, 54210, 53133, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 53955, 50795, 52197, 50849, 53133, 50873, 51188, 50932, 51320, 53837, 55916, 51409, 50865, 51200, 51210, 50420, 53133, 69814, 50912, 51600, 50912, 51284, 50827, 79224, 51200, 50978, 51409, 56412 ]
[ 0, 250, 33928, 8, 33558, 3495, 3152, 2214, 4246, 13305, 6, 21072, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 3459, 8669, 6, 278, 11, 5, 762, 9, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 8, 1918, 406, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 58359, 51685, 51120, 51196, 50900, 52266, 50871, 52266, 50877, 52369, 50927, 51009, 51669, 51080, 52327, 51148, 52807, 51148, 51118, 51127, 51061, 74612, 51240, 55622, 51170, 55933, 51120, 50809, 57909, 52807, 50835, 53876, 50829, 51118, 53083, 51799, 50890, 50927, 54756, 55891, 51214, 51496, 51026, 51552, 50899, 52195, 50916, 51469, 50861, 52017, 50973, 53435, 50953, 51184, 52257, 51637, 54797, 51477, 51083, 51295, 51020, 51141, 50799, 51240, 53087, 51240, 54562, 51027, 50821, 52807, 50864, 51282, 56486, 50900, 50859, 53876, 50904, 51118, 53891, 50899, 50880, 54910, 50813, 51083, 60380, 55933, 50899, 50880, 54910, 50857, 51083, 53057, 50899, 50890, 54910, 50810, 51083, 67542, 54944, 50900, 50859, 53876, 50904, 51118, 54481, 51027, 50883, 52807, 50864, 51282, 50870, 58359, 51343, 51120, 50967, 50900, 51685, 50871, 51977, 50877, 52282, 50927, 51009, 51118, 51127, 51061, 51047, 51240, 55229, 51120, 50896, 51669, 51333, 52327, 50932, 52807, 50995, 51240, 56262, 51799, 51192, 51170, 52267, 51120, 72891, 50883, 50871, 70463, 50962, 57909, 51669, 50864, 52327, 50863, 52807, 50834, 51083, 50884, 51061, 53409, 51799, 50818, 50927, 54756, 54210, 51214, 51496, 51026, 51552, 50899, 51285, 50916, 52266, 50861, 55362, 50973, 52379, 50953, 51795, 51669, 52136, 52257, 51477, 54797, 51074, 51083, 51218, 51020, 50983, 50799, 51240, 55800, 51240, 54562, 51027, 50821, 52807, 50857, 51282, 58970, 50900, 50858, 53876, 50867, 51118, 54123, 50899, 50880, 54910, 50886, 51083, 55139, 53675, 50899, 50890, 54910, 50813, 51083, 53083, 50899, 50882, 54910, 50833, 51083, 57919, 57443, 50900, 50858, 53876, 50810, 51118, 55370, 51027, 50930, 52807, 50825, 51282, 50837, 58359, 52195, 51120, 51286, 50900, 51196, 50871, 51685, 50877, 52282, 50927, 51009, 52327, 50941, 52807, 50827, 51457, 50887, 51282, 55615, 52432, 51825, 50809, 51118, 52641, 51120, 50807, 51669, 51542, 52327, 50981, 52807, 50915, 51825, 51033, 51118, 50910, 51061, 50910, 51240, 55649, 51457, 52444, 51799, 51192, 51825, 50882, 51118, 56128, 55933, 51120, 66407, 50883, 50871, 71452, 50962, 57909, 51669, 50941, 52327, 50837, 52807, 50825, 51981, 50930, 51118, 77185, 53595, 51799, 50890, 64386, 51981, 57488, 54210, 51214, 51274, 51026, 51496, 50899, 51196, 50916, 51196, 50861, 53898, 50973, 53435, 50953, 51184, 51669, 51965, 52257, 51318, 51825, 71864, 51141, 51020, 51189, 50799, 51981, 51014, 51240, 55800, 52287, 51286, 51240, 55649, 51027, 50858, 52807, 50857, 51457, 51294, 51282, 58970, 50900, 50859, 53876, 50862, 51118, 52691, 50899, 50880, 54910, 50862, 51083, 55263, 55186, 50899, 68877, 51432, 54910, 50862, 51083, 53068, 50899, 50880, 54910, 71864, 62073, 57443, 50900, 50940, 53876, 50810, 51118, 52863, 51027, 50883, 52807, 50829, 51282, 50834, 58359, 51073, 51120, 52236, 50304, 51977, 50871, 51685, 50877, 52282, 50927, 51009, 51607, 50837, 52327, 50820, 51783, 51445, 51584, 51445, 51567, 51445, 51240, 56051, 51457, 50948, 51118, 52870, 51120, 51226, 51607, 51961, 52327, 51391, 51825, 73183, 51116, 51083, 50864, 51061, 50943, 51240, 54151, 51457, 52599, 51799, 51192, 51825, 51030, 51083, 55202, 53885, 51120, 66407, 50895, 50871, 72199, 51010, 57909, 51607, 50867, 52327, 50839, 51981, 50887, 51118, 50839, 51061, 53409, 51799, 50884, 64386, 51981, 79080, 55891, 51214, 51496, 51026, 52195, 50899, 51285, 50916, 54454, 50861, 52017, 50973, 52379, 50953, 51184, 51669, 51965, 52257, 51318, 51825, 50887, 51083, 51189, 51020, 51218, 50799, 52287, 51388, 51783, 51445, 51555, 51445, 51902, 51445, 51240, 56621, 51981, 54149, 51825, 51388, 51240, 55649, 51027, 50921, 52807, 50886, 51981, 50962, 51282, 56486, 50900, 50859, 53876, 50862, 51118, 54181, 50899, 50880, 54910, 50862, 51457, 51226, 51083, 55139, 54586, 50899, 50887, 54910, 50836, 51083, 53533, 50899, 50880, 54910, 50887, 51083, 67542, 56883, 50900, 50940, 53876, 50854, 51118, 54199, 51027, 50883, 52807, 50839, 51282, 50829, 58359, 52297, 50294, 51167, 50900, 51977, 50871, 51685, 50877, 52282, 62644, 51607, 50941, 52327, 50971, 54310, 62334, 56092, 53171, 53113, 51118, 54316, 52287, 51460, 50426, 51120, 51013, 51607, 51961, 52327, 51679, 51118, 60213, 51048, 51240, 54151, 71485, 51981, 51033, 51118, 59656, 51799, 51215, 64386, 51825, 50921, 51118, 68441, 55186, 51120, 72474, 52640, 50309, 72199, 50930, 73182, 51607, 50904, 52327, 50886, 51981, 51054, 51118, 50828, 51061, 52802, 51799, 65303, 54450, 52206, 51274, 50997, 52369, 50956, 52266, 50861, 53174, 56372, 52327, 50941, 51825, 76591, 51162, 52534, 50811, 51773, 51679, 52603, 51419, 52287, 50923, 51240, 53336, 71155, 51981, 51030, 51118, 52928, 51085, 51013, 51825, 50948, 51118, 50925, 51020, 51073, 51240, 52265, 52206, 50808, 50964, 51010, 52603, 52011, 52257, 51310, 51981, 51388, 51118, 55108, 52206, 51215, 56372, 51118, 55987, 55933, 51085, 79892, 75205, 72115, 50962, 72546, 51773, 51376, 51981, 51286, 51118, 55149, 52206, 50948, 62890, 52603, 50977, 52287, 58950, 54210, 51085, 50887, 65931, 52257, 50822, 51825, 51090, 51118, 50828, 54662, 51958, 50297, 53751, 50306, 53177, 50313, 51054, 51186, 50824, 51669, 51108, 52807, 50995, 51083, 51013, 51240, 54892, 51457, 52536, 50432, 51234, 51731, 50297, 52236, 50306, 61768, 50930, 77585, 51669, 50891, 52807, 50867, 51083, 63039, 55522, 53442, 51234, 52530, 50297, 53531, 50306, 60599, 51237, 51186, 50824, 51669, 51709, 52807, 50915, 51083, 50889, 51023, 50807, 51240, 55891, 51234, 50839, 51050, 74336, 65172, 50887, 51186, 51010, 51669, 50941, 52807, 50867, 51083, 55140, 50818, 54662, 50859, 51050, 75025, 50858, 72859, 51186, 50817, 51669, 50912, 52807, 50833, 51083, 66578, 65547, 56051, 51234, 51804, 50297, 52236, 50306, 62125, 50962, 51186, 50823, 51669, 50829, 52807, 50820, 51083, 50839, 51023, 54966, 54151, 51234, 52282, 51050, 52827, 50899, 51685, 50877, 52827, 51186, 51009, 51669, 51447, 52807, 51103, 51083, 51100, 51023, 50980, 51240, 52267, 51825, 51388, 51083, 50839, 52612, 52396, 51981, 50962, 51061, 55404, 55577, 54310, 50911, 51020, 54518, 50811, 54206, 63925, 51552, 51105, 50817, 52027, 52988, 51083, 50829, 51020, 50829, 52623, 51445, 51555, 51445, 51722, 52337, 50801, 60404, 53414, 53223, 51197, 52500, 51105, 50976, 54310, 51354, 79403, 51020, 55326, 56803, 53516, 50997, 51244, 51083, 51235, 51341, 50977, 51020, 55067, 52702, 54404, 53644, 50899, 51110, 50861, 64292, 51364, 51105, 51010, 51773, 57598, 54310, 51427, 51236, 53418, 76613, 54910, 55392, 52705, 52268, 55757, 51105, 51010, 55989, 51159, 73907, 63767, 51115, 52932, 50882, 51083, 50839, 51020, 53971, 57344, 52725, 50861, 51090, 57909, 77432, 51242, 52932, 50911, 51083, 50893, 51020, 53543, 52702, 69629, 53650, 50997, 50952, 51011, 51010, 50656, 50342, 51353, 51981, 50921, 51557, 56898, 57071, 50846, 54662, 51077, 50899, 57874, 70866, 51226, 51186, 50817, 51669, 52256, 52287, 50962, 51118, 50829, 51083, 50829, 69318, 52123, 51445, 51783, 76914, 60404, 55767, 56051, 51050, 51189, 51186, 50976, 52807, 52783, 52287, 51603, 80060, 51061, 55922, 53087, 63383, 51118, 50854, 51083, 51238, 51061, 58668, 52702, 55949, 53589, 52417, 50899, 51472, 50871, 51552, 51186, 51066, 52327, 51330, 51825, 51054, 51118, 63464, 68511, 52950, 51118, 60495, 52616, 51234, 51573, 51096, 50976, 51669 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 980, 219, 16464, 6, 4246, 38668, 18569, 6, 3459, 8669, 6, 13305, 6, 21072, 6, 8, 38668, 20535, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 3694, 6, 34, 10, 7212, 20889, 9, 12747, 741, 1685, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 119, 6, 2060, 6, 8, 274, 119, 16, 6636, 5705, 1328, 42, 2214, 9, 7212, 5933, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50796, 51601, 63549, 51419, 58828, 51419, 63811, 51542, 53867, 53835, 53353, 60461, 50913, 58092, 50913, 50886, 57773, 50823, 53867, 55828, 60443, 50913, 61231, 63549, 51637, 60542, 52136, 63811, 51637, 50436, 52243, 50875, 50886, 60669, 50869, 50598, 63776, 50913, 60822, 50913, 60044, 52615, 51102, 50857, 57688, 50926, 50598, 56009, 58261, 50913, 57534, 52615, 51102, 50820, 51601, 60542, 51534, 61144, 51484, 63811, 51775, 53867, 52923, 62180, 50913, 60039, 50913, 50825, 57773, 50926, 50598, 55980, 61231, 50913, 59370, 50798, 57014, 57571, 51199, 58828, 51380, 61535, 51380, 53867, 53983, 65389, 50913, 60822, 50913, 60044, 50798, 50894, 57688, 50823, 53867, 58261, 50913, 59036, 50798, 50882, 51601, 63811, 51242, 63549, 51233, 58828, 51233, 53867, 52784, 78357, 60461, 50913, 65127, 50913, 70085, 53867, 54742, 63724, 60443, 50913, 61231, 63549, 51535, 60542, 51448, 63811, 51749, 50436, 52615, 50875, 67941, 52615, 50792, 50598, 63397, 50913, 60822, 50913, 60044, 50798, 52199, 50857, 57688, 50926, 50598, 55980, 58261, 50913, 57534, 50798, 53607, 50820, 51601, 60542, 51312, 63811, 51380, 61144, 50995, 52055, 50792, 50598, 58516, 50913, 60039, 50913, 50825, 57773, 50881, 50598, 55980, 61231, 50913, 59370, 55821, 53238, 56484, 58828, 51097, 61535, 50995, 57571, 51542, 52447, 53690, 50383, 54118, 63397, 50913, 60822, 55821, 54853, 60044, 52447, 53579, 50880, 57688, 50881, 50598, 65732, 55821, 54976, 59036, 52447, 53238, 66430, 52191, 56736, 51601, 63549, 51411, 58828, 51025, 63811, 51775, 52723, 54118, 52532, 60461, 50913, 65127, 50913, 70085, 53867, 52501, 54518, 58874, 50913, 61231, 63811, 51749, 63549, 51535, 60542, 51448, 50436, 52615, 50875, 50886, 60669, 62230, 64100, 50913, 60822, 50913, 60044, 52615, 51102, 67235, 53867, 54742, 52199, 58261, 50913, 57534, 52615, 51102, 50820, 51601, 60542, 50981, 61144, 51419, 63811, 51542, 51728, 50792, 50598, 65149, 50913, 60039, 50913, 58245, 53867, 55748, 55619, 58167, 50913, 59370, 50798, 56484, 61535, 51097, 57571, 50932, 58828, 63575, 62230, 60067, 50913, 60822, 50913, 60044, 50798, 50880, 57688, 50926, 50598, 61192, 50913, 59036, 50798, 66430, 58341, 50962, 51601, 63811, 51328, 63549, 51337, 58828, 51233, 58341, 54217, 53867, 54200, 53540, 60461, 50913, 65127, 50913, 70085, 53867, 53352, 53607, 60443, 50913, 61231, 63549, 51318, 60542, 51318, 63811, 51477, 50436, 52613, 50875, 67941, 53867, 52784, 58344, 50913, 60822, 50913, 60044, 52613, 51102, 67235, 53867, 53352, 53607, 58261, 50913, 57534, 51728, 50994, 50820, 51601, 61144, 51380, 60542, 51253, 63811, 51380, 53867, 54200, 74871, 50913, 60039, 50913, 58245, 53867, 54597, 53607, 57004, 50913, 59370, 50798, 59764, 61535, 51097, 57571, 50932, 58828, 51097, 52243, 54118, 54704, 51206, 51832, 50442, 50913, 60822, 51206, 68918, 54368, 51206, 51004, 50448, 51728, 52526, 60258, 51206, 50928, 57688, 57639, 50368, 52438, 54859, 51206, 68357, 50913, 52920, 51206, 74884, 50798, 56249, 51206, 50835, 65195, 70623, 63811, 50938, 58828, 51477, 63549, 51671, 63811, 51449, 52191, 51060, 53867, 53835, 54162, 53353, 60461, 50913, 65127, 58828, 53611, 62520, 58828, 51111, 52191, 63265, 51068, 52476, 50598, 55924, 52865, 57343, 60443, 63811, 52085, 61231, 63811, 51100, 60542, 52783, 50436, 79022, 56530, 67941, 53180, 68633, 52259, 62230, 63776, 50913, 60822, 60542, 53123, 60044, 60542, 51060, 53180, 77384, 52923, 53690, 50890, 57688, 50926, 50598, 56009, 53352, 59154, 63811, 56530, 57534, 63811, 51095, 50913, 54200, 53690, 50858, 51601, 61144, 51283, 60542, 51477, 63811, 51878, 55821, 59407, 51520, 50881, 50598, 61798, 50913, 60039, 60542, 50809, 55821, 80144, 58245, 60542, 62752, 50384, 54118, 54742, 52279, 53607, 58032, 63811, 77119, 50913, 59370, 79022, 57014, 58498, 50808, 61144, 51749, 61535, 51535, 58498, 51627, 52899, 59407, 51747, 52476, 50598, 58900, 50913, 60822, 63811, 55027, 60044, 61535, 50967, 52899, 50924, 52055, 50966, 50894, 57688, 52865, 50823, 53867, 57208, 50913, 59036, 61144, 50812, 52899, 53393, 53235, 50882, 51601, 58828, 50795, 58828, 51535, 61535, 51627, 58498, 52598, 52447, 59407, 57642, 51021, 53867, 52501, 64685, 50913, 65127, 61535, 71038, 62520, 52447, 50893, 50427, 58828, 58063, 53451, 66690, 62216, 55980, 60443, 61144, 56474, 61231, 63549, 50937, 50436, 52615, 50875, 55234, 59764, 63811, 51157, 63549, 51535, 60542, 51749, 63811, 51627, 53180, 52090, 53690, 50384, 54118, 60067, 50913, 60822, 50913, 60044, 53180, 79732, 52923, 51520, 57365, 50804, 75519, 50384, 54118, 52535, 58261, 50913, 57534, 50913, 54200, 51670, 58055, 52447, 50880, 51601, 61144, 51448, 60542, 51397, 63811, 51627, 55821, 51158, 52055, 50792, 50598, 54200, 50894, 77626, 60039, 55821, 79732, 50825, 57773, 52865, 50823, 53867, 55980, 57004, 50913, 59370, 50798, 52816, 56484, 58828, 50887, 61144, 51627, 61535, 51148, 58498, 51145, 52899, 50893, 52613, 50990, 50383, 54118, 63397, 61535, 56530, 60822, 50913, 60044, 61535, 50800, 52899, 50940, 51728, 50990, 50880, 57688, 51779, 53972, 50384, 52438, 65732, 63811, 56530, 59036, 52613, 50990, 66430, 58828, 50795, 52899, 50890, 51601, 58828, 51878, 61535, 51627, 58498, 51535, 52447, 51654, 54451, 50386, 54118, 52532, 60461, 50913, 65127, 58828, 52085, 62520, 52447, 50940, 50427, 58828, 52467, 52865, 50823, 53867, 52532, 60443, 50913, 61231, 58828, 50800, 52447, 67066, 52615, 50875, 55234, 59764, 63549, 51749, 63549, 51291, 60542, 51749, 63811, 51080, 53180, 65249, 52259, 62230, 59721, 50913, 60822, 50913, 60044, 53180, 50921, 52615, 50990, 54853, 50857, 57688, 52865, 60061, 50383, 54118, 52535, 58261, 50913, 57534, 52615, 50990, 55473, 58077, 52447, 50809, 51601, 61144, 51627, 60542, 51749, 63811, 52263, 55821, 51111, 53867, 52923, 52589, 50821, 77626, 60039, 55821, 80144, 50825, 57773, 52279, 50926, 50598, 55748, 61231, 55821, 55065, 59370, 50798, 52816, 56484, 61144, 51878, 58498, 51535, 61535, 51535, 52899, 51158, 53867, 54534, 52259, 58344, 50913, 60822, 50913, 60044, 52899, 50948, 51728, 50990, 50880, 57688, 75519, 50383, 54118, 61192, 50913, 59036, 52613, 50990, 66430, 53180, 50882, 51601, 58828, 51448, 61144, 51627, 63811, 51627, 52447, 51060, 53867, 52784, 52589, 53540, 60461, 50913, 65127, 50804, 54463, 62520, 52447, 52572, 61033, 52447, 72885, 50374, 52438, 52501, 54518, 52279, 50811, 57096, 52532, 61231, 50804, 60631, 58863, 54016, 55234, 59901, 63811, 50910, 63811, 51542, 62600, 51419, 58828, 51381, 58341, 50976, 53867, 53869, 54366, 51508, 59954, 50913, 66880, 58828, 55063, 63041, 58828, 50808, 58341, 51653, 60786, 65449, 51068, 52476, 50598, 55828, 54518, 58268, 63811, 56474, 64459, 63811, 50925, 52899, 51014, 50460, 50913, 50886, 51601, 63811, 50932, 62600, 50932, 60542, 51097, 53180, 50824, 51190, 52438, 64685, 50913, 59490, 60542, 55027, 54366, 64527, 60542, 51582, 52535, 52923, 73892, 53867, 56009, 58528, 63811, 53611, 57107, 63811, 53611, 55698, 60542, 51381, 63811, 51542, 67061, 51542, 55821, 70958, 50894, 51715, 52438, 60067, 50913, 61800, 60542, 50840, 55821, 51130, 52535, 54880, 72634, 60542, 50808, 55821, 51603, 50804, 60061, 50384, 54118, 55980, 62564, 63811, 62516, 50913, 59175, 58498, 50910, 51601, 58498, 51199, 61535, 51108, 67061, 50932, 52899, 51012, 51715, 52438, 60461, 63811, 55027 ]
[ 0, 4688, 20425, 8, 17627, 17274, 3152, 2214, 4246, 81, 9756, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 18558, 18046, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 20902, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 15352, 30054, 3222, 5785, 9, 381, 6, 274, 119, 1176, 406, 6, 8, 230, 40286, 14, 5042, 7, 63, 1313, 8, 1372, 5466, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 51763, 52570, 50927, 52570, 50798, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51282, 52570, 50417, 51083, 52570, 50419, 51061, 56094, 50420, 51023, 56094, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 79958, 52294, 66911, 51634, 50806, 50799, 51622, 51167, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 51685, 50799, 53707, 52570, 51096, 52570, 50798, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51616, 52570, 50417, 51557, 52570, 50419, 51118, 56094, 50420, 51061, 56094, 52874, 50980, 50422, 51023, 56094, 50432, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50806, 50799, 51622, 51167, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 51685, 70782, 51469, 50953, 71062, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51083, 52500, 50417, 51020, 52500, 50419, 51023, 52500, 50420, 52874, 56925, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50896, 50799, 52124, 51469, 51011, 71062, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51815, 52500, 50417, 51282, 52500, 50419, 51118, 52500, 50420, 51089, 52500, 52874, 50980, 50422, 51023, 51585, 50432, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50896, 68266, 52570, 50927, 52570, 50798, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51282, 52570, 50417, 51083, 52570, 50419, 51061, 56094, 50420, 51023, 56094, 52874, 56925, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50806, 50799, 51622, 51167, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 51285, 54141, 50806, 51382, 50821, 53061, 52935, 50804, 50806, 50799, 50650, 51409, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 75782, 50927, 51575, 52692, 51347, 50980, 51347, 50980, 51497, 50980, 51497, 50980, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 75782, 50927, 53374, 71634, 50980, 51200, 50980, 51188, 50980, 51188, 50980, 50927, 79037, 50927, 74125, 75782, 50927, 52420, 51575, 53072, 52309, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 50927, 58716, 52322, 50927, 51575, 52692, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 50927, 53374, 68560, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 59147, 59147, 50927, 51575, 52692, 59147, 59147, 60889, 60889, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 61138, 61138, 63051, 63051, 50927, 53374, 50799, 51347, 50980, 51347, 50980, 51404, 50980, 51404, 50980, 50927, 79037, 50927, 74125, 75782, 50927, 52420, 51575, 53072, 52309, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 50927, 58716, 52322, 50927, 51575, 52692, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 50927, 53374, 68560, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 75782, 50927, 51575, 52692, 51347, 50980, 51347, 50980, 51497, 50980, 51497, 50980, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 75782, 50927, 53374, 71634, 50980, 51200, 50980, 51188, 50980, 51188, 50980, 50927, 79037, 50927, 74125, 75782, 50927, 52420, 51575, 53072, 52309, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 50927, 58716, 52322, 50927, 51575, 52692, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 50927, 53374, 68560, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 59147, 59147, 50927, 51575, 52692, 59147, 59147, 60889, 60889, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 61138, 61138, 63051, 63051, 50927, 53374, 50799, 51347, 50980, 51347, 50980, 51404, 50980, 51404, 50980, 61485, 52060, 56191, 51553, 53113, 61485, 51456, 54007, 51224, 52422, 75782, 61485, 51326, 55104, 51289, 52686, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 71654, 52322, 61485, 52060, 56050, 51553, 53247, 61485, 51456, 54787, 51224, 53153, 61485, 51326, 55982, 51289, 52935, 51612, 50806, 71654, 50806, 50799, 52290, 51226, 78623, 50945, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52290, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51226, 51499, 50980, 51499, 50980, 51415, 58571, 53374, 51039, 52247, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 50980, 61138, 61138, 51133, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 53811, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51285, 51188, 50980, 51188, 50980, 51271, 58571, 53374, 51039, 52247, 56349, 56349, 50953, 52420, 66592, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52792, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51226, 66157, 66157, 50964, 79037, 75782, 50927, 74125, 75782, 50927, 52420, 66592, 52792, 51226, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 52792, 50980, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 52792, 51226, 51969, 50980, 51969, 50980, 51213, 58571, 53374, 51039, 52247, 75782, 50927, 52420, 66592, 52792, 51226, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 52792, 50980, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 52792, 51226, 51263, 50980, 51263, 50980, 50953, 58571, 53374, 51039, 52247, 75782, 50927, 52420, 66592, 52290, 51226, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 52974, 50980, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 51612, 51285, 51200, 50980, 51200, 50980, 51011, 58571, 53374, 51039, 52247, 75782, 50927, 52420, 66592, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 52290, 51226, 78623, 50945, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52290, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 53811, 51226, 51499, 50980, 51499, 50980, 51415, 58571, 53374, 51039, 52247, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51226, 61138, 61138, 51133, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51285, 51188, 50980 ]
[ 0, 250, 765, 8, 4045, 3495, 2214, 11, 211, 3694, 6, 1931, 20932, 11098, 8, 657, 149, 63, 34879, 4, 590, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 19448, 8859, 14, 115, 2773, 465, 63, 317, 11, 10, 822, 4, 20, 33215, 16739, 9, 211, 119, 6, 1918, 6, 8, 272, 119, 3639, 7, 63, 253, 10852, 25342, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50796, 50796, 50435, 51026, 51043, 50441, 50906, 51363, 50902, 51077, 50445, 51026, 51277, 50451, 50900, 67182, 51283, 50455, 62926, 50461, 50877, 51345, 51809, 50902, 51108, 50423, 50899, 51233, 60564, 79306, 51490, 50433, 51026, 51253, 50436, 50876, 51077, 50442, 50902, 51091, 50446, 51026, 51328, 50452, 50871, 51391, 72786, 51242, 55694, 51095, 50417, 51026, 51775, 50421, 50899, 51337, 50424, 50861, 51110, 50427, 50906, 51753, 50902, 51417, 50430, 51120, 51412, 50433, 50900, 51312, 50434, 50989, 52519, 50436, 62926, 50443, 50877, 51345, 50446, 51378, 51328, 50452, 50899, 51423, 50456, 50906, 50879, 54955, 51576, 73401, 51013, 50418, 50861, 51466, 50423, 50902, 51358, 50427, 51026, 51328, 50433, 51120, 64716, 51884, 50906, 51364, 50436, 51026, 50822, 51050, 51277, 50446, 51026, 51391, 50447, 51026, 51627, 50453, 50902, 65818, 50887, 54594, 51051, 50415, 73750, 50418, 60158, 50931, 57055, 51381, 50424, 50902, 51215, 77095, 51806, 73866, 51022, 50861, 65090, 51337, 50437, 51001, 51060, 50900, 50981, 58365, 51267, 50447, 50902, 51077, 50453, 70223, 50876, 51364, 50456, 51026, 51775, 50457, 50900, 51477, 54594, 50878, 79251, 51481, 50423, 50871, 50937, 50424, 50899, 62973, 50902, 51965, 50427, 50906, 59819, 51679, 79471, 51242, 73866, 50866, 74206, 50918, 50440, 50956, 51419, 50443, 71152, 63775, 50446, 60003, 50997, 51645, 50453, 50931, 55416, 50956, 51387, 50457, 50956, 54529, 77919, 54594, 51022, 50906, 51797, 50902, 51183, 79251, 50837, 50997, 51233, 50997, 51484, 63715, 51337, 50425, 72302, 50427, 50997, 51074, 50428, 50906, 50849, 50431, 75716, 50434, 50899, 51142, 50900, 50981, 50437, 50877, 52424, 51027, 51233, 50444, 50989, 51675, 50447, 51027, 52169, 50301, 58369, 50997, 51210, 50453, 73630, 50877, 51291, 50457, 51026, 51277, 51026, 51253, 50460, 50899, 51166, 51601, 50902, 50918, 50419, 51026, 51006, 50425, 50900, 50981, 56947, 50827, 50428, 62926, 50989, 51679, 50429, 50899, 50932, 50434, 50877, 51345, 50438, 51378, 51108, 55989, 71703, 50899, 51233, 50448, 50906, 79306, 52482, 51026, 51542, 50454, 51026, 51380, 50458, 50876, 51472, 51809, 77383, 50902, 51294, 50419, 50899, 53130, 50299, 51277, 50425, 50871, 51391, 54439, 50912, 50428, 50861, 51328, 50429, 50989, 75256, 68929, 50906, 51095, 62322, 51576, 51026, 51097, 50442, 50899, 51337, 50445, 50861, 51110, 50448, 50906, 51481, 50931, 51291, 50451, 51120, 51775, 50454, 65113, 50900, 50981, 50457, 50899, 51679, 50458, 62926, 50989, 51466, 51809, 50877, 50991, 50419, 51027, 51253, 78091, 50987, 54439, 51376, 50428, 51026, 71714, 50906, 51111, 50433, 51050, 51391, 50434, 51120, 65598, 50900, 61148, 51027, 51481, 50439, 67908, 50445, 50906, 51568, 50302, 51576, 50902, 50918, 50448, 50997, 51328, 50454, 51027, 51142, 50906, 51238, 50455, 50871, 51074, 50457, 50997, 51753, 50458, 76339, 51601, 51027, 50912, 50419, 51026, 51542, 56978, 51145, 50425, 50902, 60126, 51158, 50435, 68929, 51081, 56298, 72420, 50439, 50999, 51241, 50445, 50931, 51472, 50448, 50900, 51380, 50452, 50899, 57098, 51040, 64461, 50861, 69941, 50900, 69246, 51191, 50461, 50900, 51961, 52177, 50861, 51003, 58973, 51127, 53523, 51051, 76946, 51364, 50429, 51026, 51484, 78313, 51212, 50436, 58882, 50439, 62972, 50900, 51806, 50445, 50861, 50937, 50448, 50956, 77413, 51060, 50452, 50956, 51006, 50454, 50997, 51008, 50455, 50861, 51194, 50906, 52188, 50458, 50956, 51862, 50902, 53259, 50461, 50871, 54011, 50301, 51775, 51809, 76584, 50417, 50900, 50981, 50419, 50871, 51328, 58060, 51620, 73630, 50427, 50877, 51472, 78414, 51174, 50430, 51120, 51328, 50433, 67136, 50436, 65997, 50437, 50861, 51145, 79807, 51419, 50440, 51026, 50932, 64118, 51233, 50449, 50906, 51060, 75312, 55293, 50989, 50829, 51026, 51775, 50458, 50871, 51277, 50459, 50877, 51013, 52177, 50899, 62531, 51101, 53502, 62658, 51026, 54143, 56759, 65789, 51576, 50427, 50877, 60412, 50900, 51391, 78313, 51380, 50435, 68062, 62204, 51073, 50441, 51001, 51177, 50445, 50900, 75102, 50900, 51210, 50448, 50877, 57824, 51026, 51108, 50451, 74952, 60990, 50457, 50876, 60778, 51112, 52478, 62972, 50419, 50871, 51351, 50421, 51026, 51380, 50422, 63503, 50902, 51472, 50428, 50906, 51294, 50431, 51026, 51277, 50437, 51026, 51051, 57267, 51134, 50441, 51026, 51242, 50899, 51381, 50448, 50906, 51358, 50451, 51026, 51534, 50457, 50871, 51742, 50460, 50899, 50932, 50461, 51120, 51445, 53069, 50902, 51036, 50423, 51027, 51318, 50429, 50899, 51210, 78120, 59409, 50859, 50989, 78262, 50899, 54123, 51027, 51051, 50877, 51073, 50439, 50989, 51447, 50442, 51378, 51203, 51378, 51330, 50449, 50899, 51337, 50451, 51026, 50981, 50452, 50906, 51158, 50459, 51026, 51199, 54960, 53561, 65113, 50902, 51896, 50423, 50899, 51108, 50424, 51026, 51277, 50430, 50906, 57775, 51026, 54143, 50439, 51040, 51210, 50877, 50977, 50443, 50900, 51775, 50900, 51391, 67655, 51194, 50449, 63830, 50453, 51001, 59562, 50900, 51328, 50459, 57846, 50871, 66388, 51376, 56229, 77782, 51534, 79251, 51242, 50421, 50861, 62245, 51806, 50423, 50956, 52192, 50424, 51001, 51100, 50427, 70138, 50997, 51542, 78313, 75988, 50871, 51351, 50433, 50997, 61739, 52149, 50434, 63613, 50439, 50906, 51294, 50443, 50997, 50974, 50449, 50997, 53131, 50309, 51351, 50452, 51050, 51423, 50997, 51337, 50459, 50906, 51294, 55435, 51074, 50415, 50997, 58671, 75716, 54569, 51142, 50421, 80237, 50424, 51197, 52256, 50425, 51197, 51080, 50428, 51026, 51328, 50431, 51040, 51006, 73866, 60592, 51026, 51419, 50440, 51197, 61173, 51040, 51097, 50443, 51197, 51043, 67964, 52848, 50906, 72982, 64444, 50454, 51197, 50851, 51026, 51534, 50455, 51040, 52063, 50457, 51050, 65019, 50871, 50863, 51026, 50912, 50877, 51675, 51809, 51120, 51742, 50989, 52140, 50899, 52140, 50449, 50877, 50845, 50452, 51114, 57490, 50861, 50901, 57923, 57437, 50989, 51337, 50423, 50902, 51939, 50429, 50956, 55544, 50876, 51158, 50439, 50899, 50892, 50442, 50906, 51060, 50449, 50900, 51337, 50452, 50877, 51091, 50459, 50997, 50892, 54594, 51101, 62143, 51609, 50301, 51277, 50424, 50989, 51177, 50989, 51363, 79580, 65379, 60462, 51026, 51043, 51026, 50981, 50440, 50902, 64486, 51026, 50932, 50449, 51026, 52989, 50900, 73959, 62926, 50899, 51381, 50459, 50877, 51345, 50460, 50871, 52407, 51601, 51120, 51097, 50421, 50899, 51337, 50424, 51026, 51542, 50425, 50906, 65727, 51026, 51199, 50435, 50861, 53164, 50316, 51336, 50441, 50902, 51336, 55989, 50933, 50445, 51026, 50974, 56415, 51452, 50451, 50989, 71820, 51026, 51328, 76684, 50460, 50861, 51189, 51809, 51026, 51753, 51026, 51097, 50422, 50902, 51291, 56947, 51477, 50431, 50900, 51312, 71341, 50851, 50989, 51753, 50435, 56143, 50899, 51283, 50441, 50877, 51112, 50871, 52136, 50445, 51120, 51108, 50451, 50899, 51337, 50454, 51026, 59478, 51446, 50461, 51026, 51480, 51809, 50931, 58741, 78456, 50902, 51336, 78091, 51679, 56947, 51277, 63931, 70900, 51026, 51006, 50445, 51026, 51172, 51026, 51535, 50450, 50951, 68523, 50902, 59672, 76584, 50460, 50989, 51365, 50461, 50902, 71454, 51312, 51601, 50871, 51363, 50416, 50931, 51116, 50422, 50902, 51215, 50425, 50900, 51709, 50429, 50899, 61193, 51040, 53860, 50861, 73797, 51961, 50435, 51001, 51111, 50900, 78024, 50900, 50932, 50442, 50861, 51312, 50445, 50902 ]
[ 0, 713, 8787, 5175, 8, 3495, 2125, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 7630, 6568, 10, 25306, 5466, 19, 63, 15352, 30054, 13305, 2301, 4, 23973, 11, 5, 762, 9, 272, 10431, 3694, 6, 24, 1575, 10, 33215, 13931, 9, 230, 10431, 406, 6, 163, 43531, 1176, 406, 6, 234, 6, 163, 43531, 1176, 406, 6, 8, 272, 119, 1176, 406, 4, 20, 15229, 18, 20425, 648, 19448, 2574, 6670, 10, 1372, 8, 7580, 6288, 676, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50628, 50420, 56387, 55191, 57279, 53052, 53366, 56298, 53483, 55103, 51706, 50892, 51057, 51232, 50981, 50424, 50652, 50353, 52524, 51232, 50822, 65510, 64318, 51435, 53193, 51232, 50822, 53481, 60234, 51639, 50822, 51057, 51099, 50822, 57473, 67075, 51489, 53728, 51099, 50822, 55165, 62149, 51561, 52921, 51275, 50822, 52709, 64318, 51561, 53193, 51308, 50822, 52461, 60234, 51198, 50822, 51057, 51099, 50955, 51119, 78130, 51153, 68102, 51512, 50955, 51516, 50942, 53629, 50878, 54513, 55440, 51429, 70258, 51706, 50955, 51198, 50955, 51232, 50955, 51777, 63125, 51435, 50955, 51057, 52381, 50981, 50417, 51099, 50822, 51639, 53728, 53483, 50822, 51280, 50822, 51232, 52921, 51119, 50905, 51777, 50905, 52461, 50822, 52709, 56739, 55374, 54378, 55760, 50915, 56387, 50915, 51964, 50915, 52176, 50915, 51057, 52070, 51423, 52381, 51423, 53629, 51423, 50422, 52778, 51328, 53519, 51328, 68337, 51328, 50423, 62610, 51242, 63716, 51242, 52649, 51242, 53646, 51242, 50430, 51964, 50959, 51847, 60675, 51706, 50844, 51119, 55167, 51144, 51269, 51057, 51494, 51022, 50417, 51275, 55740, 58001, 50851, 52649, 50851, 52381, 56779, 52746, 54325, 51869, 55100, 51706, 50851, 51119, 55270, 51144, 50907, 51057, 51494, 63301, 51275, 53004, 52381, 50844, 53629, 50844, 68089, 55266, 53481, 52921, 52778, 58519, 52929, 54150, 54733, 50857, 52461, 63163, 51708, 50857, 51706, 56579, 54733, 50857, 51516, 65598, 51708, 50857, 51706, 50857, 51057, 54733, 79171, 51708, 50857, 51706, 65149, 52176, 50857, 53483, 54657, 51144, 50905, 51516, 50822, 52461, 54252, 51153, 50822, 52929, 52921, 51232, 50867, 51516, 50822, 53629, 73881, 51144, 58594, 51232, 50867, 51153, 50822, 52929, 66142, 51144, 53860, 51232, 50867, 51516, 50822, 52461, 59909, 51144, 56030, 51232, 50867, 51153, 50822, 52929, 65859, 51144, 50867, 51057, 51232, 50867, 51516, 50822, 53629, 50822, 50416, 51144, 60209, 51232, 50867, 51153, 50822, 52929, 73167, 51144, 55105, 51232, 50867, 51516, 50822, 52461, 65532, 51144, 55754, 51232, 52921, 51119, 51363, 52070, 51363, 51516, 51363, 52709, 57250, 57473, 53513, 55374, 55167, 57279, 51363, 51964, 51363, 52533, 51363, 59150, 50844, 51034, 58889, 50892, 50652, 50351, 55041, 51512, 50905, 51275, 50905, 51516, 50905, 51578, 61544, 52785, 50844, 53038, 53450, 53483, 50987, 51847, 60539, 51512, 50905, 51275, 50905, 51516, 50905, 51578, 54137, 58889, 50892, 50652, 50351, 55200, 51489, 50874, 51837, 57904, 51561, 50874, 51034, 52537, 58879, 51144, 50874, 51516, 56174, 51777, 53881, 53629, 50974, 68089, 55544, 51308, 50874, 52381, 53720, 51275, 54123, 51494, 61112, 51847, 50838, 51429, 50974, 52709, 50874, 72570, 54043, 58889, 50874, 51034, 51198, 50844, 51099, 50844, 51639, 50844, 57473, 50844, 50652, 50348, 56624, 58889, 53728, 68337, 54252, 52533, 50844, 51708, 50844, 51144, 50844, 53629, 52921, 53519, 56739, 52477, 50844, 51847, 50844, 51099, 50844, 52353, 53193, 51578, 54378, 54513, 52691, 62610, 50854, 52649, 50810, 52929, 50844, 65510, 62079, 56387, 53103, 53038, 50810, 51275, 50844, 52070, 50844, 51837, 55876, 53646, 50810, 51034, 52746, 60685, 51869, 50810, 51308, 50844, 51429, 50844, 51639, 54351, 51232, 54347, 51876, 52654, 51847, 50810, 80062, 72157, 52381, 57250, 52477, 50810, 51232, 50854, 51144, 50810, 51837, 53193, 54513, 54378, 51153, 51022, 51516, 58087, 51561, 51074, 51489, 51387, 50441, 52461, 57043, 51153, 51123, 52929, 71106, 51561, 51079, 51489, 51166, 51034, 55374, 62311, 51153, 50984, 51578, 63961, 51561, 50972, 51489, 75741, 51435, 54325, 51099, 50907, 54513, 72373, 51847, 50838, 51429, 57524, 59150, 55270, 51512, 50912, 51837, 54938, 51847, 50974, 51429, 77131, 68089, 54478, 51099, 50851, 52461, 57060, 51280, 50905, 51119, 50972, 51034, 52353, 56115, 51494, 50827, 52778, 58879, 51280, 50892, 51308, 56909, 50652, 50348, 53881, 51198, 50874, 51494, 50874, 52709, 65005, 51847, 50827, 51232, 54221, 52040, 50827, 51561, 50874, 51512, 50905, 51153, 50905, 51516, 54137, 51708, 50822, 51706, 57366, 51964, 51412, 50444, 50628, 52533, 50974, 51847, 50838, 51099, 50838, 51119, 50972, 52070, 64180, 50627, 51034, 50627, 53038, 50974, 52746, 50838, 51876, 50974, 51198, 50972, 51512, 50838, 51429, 71713, 50627, 50420, 50626, 54733, 50974, 52746, 50974, 51948, 50972, 52929, 50972, 55165, 60147, 50626, 56686, 50838, 50424, 51964, 50972, 50425, 51706, 55191, 50626, 51578, 50838, 52461, 50972, 57473, 66665, 50626, 50432, 50628, 59150, 55098, 51869, 50874, 51144, 50874, 52929, 52691, 51232, 50838, 51494, 50974, 51639, 50905, 51034, 51847, 51363, 51144, 51363, 50420, 51516, 52397, 50423, 52533, 55124, 51847, 51432, 51561, 51387, 51153, 51737, 51275, 51737, 50432, 56686, 51123, 51964, 50984, 51119, 51123, 51429, 50984, 52381, 52519, 50438, 51847, 52460, 51144, 53096, 50447, 52533, 51123, 51034, 51847, 50984, 51561, 51123, 51153, 51166, 51275, 51166, 51516, 76194, 56686, 50984, 51964, 51123, 51119, 50984, 51429, 50984, 52381, 53280, 50426, 52533, 65472, 52746, 54661, 51198, 51376, 51308, 51074, 51777, 55659, 52649, 50912, 51516, 51074, 50441, 51708, 54947, 51144, 51254, 51639, 51079, 51034, 51869, 50851, 52381, 50972, 52778, 51108, 50417, 51847, 54711, 52649, 50972, 51706, 50972, 51275, 50972, 51578, 55191, 51837, 58125, 51232, 50827, 51144, 52739, 54733, 50972, 52746, 50972, 51516, 50892, 54513, 53913, 52040, 50851, 51153, 51330, 51639, 51330, 51435, 51330, 50441, 51232, 54478, 52176, 54043, 52477, 50851, 51057, 53366, 50827, 53646, 50827, 51119, 50851, 51308, 50851, 52070, 54711, 51232, 56779, 52746, 54325, 52040, 50912, 51099, 50972, 51777, 50838, 51435, 58125, 51964, 55100, 52477, 50912, 52070, 69783, 51198, 50912, 51034, 52477, 79382, 50972, 51494, 50972, 51308, 51174, 50417, 52533, 55869, 52176, 50912, 51578, 51174, 50423, 52649, 54325, 57279, 50912, 75434, 51578, 50972, 52929, 70342, 51964, 55100, 57279, 50822, 52533, 50822, 51876, 54378, 57279, 50851, 52533, 50851, 51876, 53269, 51494, 50933, 51275, 50933, 51516, 51079, 50442, 51706, 62565, 51429, 64043, 51578, 50912, 51837, 50912, 57473, 50912, 51057, 51847, 50972, 51099, 50972, 51578, 50912, 51837, 50912, 57473, 55869, 63716, 50827, 51964, 50827, 52176, 53591, 51516, 50838, 54513, 52688, 63716, 50827, 51964, 50827, 52176, 54889, 63716, 50827, 51964, 50827, 52176, 50827, 51308, 50827, 52381, 52739, 52070, 50838, 52461, 65867, 51561, 50874, 51119, 50827, 51489, 50874, 51435, 50874, 51057, 52381, 50874, 52353, 50827, 53519, 56115, 55374, 54448, 51494, 50974, 51639, 50974, 51837, 50874, 55165, 50874, 65510, 56174, 51837, 50874, 55165, 50874, 65510, 53881, 51198, 71714, 51308, 50822, 51489, 50822, 52381, 53193, 51099, 50905, 51308, 50822, 51489, 50822, 51435, 50905, 52381, 65859, 51639, 50959, 52353, 50959, 51057, 58001, 50822, 51964, 50822, 53483, 50822, 52040, 50905, 50416, 51948, 50959, 58889, 50959, 50417, 58001, 50822, 51964, 50822, 53483, 53728, 51516, 50892, 52929, 61544, 52537, 50844, 51876, 50844, 51512, 53450, 60196, 50845, 53038, 50892, 51489, 50822, 52461, 50822, 51837, 56739, 51489, 50822, 52461, 50822, 51837, 53193, 51708, 66859, 51099, 50905, 51777, 50905, 51639, 50905, 50436, 51876, 50878, 61234, 51494, 58793, 52461, 50844, 53519, 50844, 65510, 55266, 60196, 50844, 53038, 50844, 52778, 50844 ]
[ 0, 250, 2635, 12, 20764, 5175, 8, 25771, 2214, 14, 7630, 6568, 10, 19448, 8, 5679, 26709, 5466, 6, 10686, 13, 822, 2369, 36546, 50, 1619, 9629, 4, 20, 15352, 30054, 15229, 1575, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 70, 8216, 7, 63, 32625, 13569, 9862, 4, 23973, 11, 83, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 17407, 30, 10, 33215, 16739, 9, 230, 6, 163, 119, 406, 6, 2344, 757, 6, 381, 6, 8, 1918, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50429, 53817, 50925, 51615, 61964, 53389, 50878, 51656, 51014, 50437, 53541, 50833, 52187, 62281, 52133, 50810, 51711, 50894, 50443, 51881, 50854, 51838, 79942, 52033, 50854, 52225, 50950, 50449, 52332, 50862, 53129, 78780, 51615, 50813, 52137, 62172, 51656, 50813, 52430, 59730, 52187, 50857, 53499, 52884, 51711, 64853, 52626, 58150, 51838, 50862, 52886, 59616, 52225, 50839, 53828, 56912, 52036, 50839, 53718, 50817, 53541, 51945, 51881, 52392, 52332, 51991, 60691, 51359, 53817, 51151, 50799, 53129, 51534, 55248, 50993, 54311, 51307, 50423, 51838, 51423, 52886, 50975, 50431, 52225, 50974, 53828, 62472, 53129, 51592, 55248, 51352, 50461, 53181, 51307, 53100, 51307, 52033, 51307, 58366, 51353, 51615, 52149, 55556, 51264, 50424, 52137, 50932, 54307, 50824, 50437, 53129, 51380, 55248, 51072, 50448, 52225, 51097, 53828, 73300, 51838, 51534, 52886, 50993, 52133, 51945, 52033, 51714, 59439, 51307, 50799, 53389, 51359, 51844, 51991, 50422, 52187, 51423, 53499, 74512, 51711, 51481, 52626, 51388, 50438, 51838, 51939, 52886, 51352, 50461, 51615, 51183, 55430, 51359, 50799, 51656, 51422, 51881, 51717, 51181, 51945, 50425, 52225, 50932, 53828, 51237, 50437, 51838, 51108, 52886, 51237, 52332, 51562, 50448, 51863, 51109, 51711, 51097, 52626, 50824, 50460, 52187, 51534, 53499, 50993, 50461, 56617, 51264, 52187, 51264, 51615, 51359, 54281, 51991, 50422, 51615, 51534, 52137, 50993, 50430, 51656, 50974, 52430, 62472, 52187, 52015, 53499, 51407, 50461, 51615, 51945, 52187, 51945, 51881, 52069, 59439, 51151, 53389, 51293, 56682, 51605, 50424, 52187, 51097, 53499, 50824, 50436, 53129, 51097, 55248, 50824, 50448, 52137, 51108, 54307, 51237, 50460, 52430, 51939, 55815, 51352, 50461, 52033, 51307, 51615, 51353, 59439, 51353, 53389, 51359, 52133, 52250, 56682, 51605, 50450, 51711, 51097, 52626, 73300, 52225, 51244, 53828, 51009, 50799, 51656, 51077, 55430, 51945, 52332, 51945, 51181, 51945, 50436, 51863, 51397, 50437, 51838, 51749, 52886, 51300, 50461, 52769, 51623, 50799, 53817, 52783, 51137, 51605, 51944, 51358, 50415, 53541, 52783, 51881, 52783, 51808, 51358, 50416, 51669, 51358, 50427, 52332, 51679, 50461, 53181, 51452, 53100, 51803, 52033, 51452, 55556, 51714, 52769, 51351, 50415, 51434, 51391, 51773, 51241, 50416, 52361, 51191, 50417, 52043, 50983, 50461, 59439, 51293, 53389, 51449, 52133, 51445, 52033, 51243, 51615, 51445, 51528, 53589, 54857, 50812, 51844, 50943, 52806, 51894, 51434, 51127, 51607, 51103, 52043, 64739, 51170, 53045, 54446, 50920, 50820, 51768, 61213, 53127, 50840, 51974, 53589, 52539, 50862, 51374, 71161, 51170, 52539, 50855, 51669, 51377, 50444, 51270, 52793, 50836, 51955, 56580, 55657, 50840, 51349, 50892, 52043, 51178, 53462, 56233, 54800, 50840, 51844, 50987, 50457, 51434, 60870, 51881, 52071, 51528, 56581, 56691, 50880, 53541, 51391, 62146, 51145, 51743, 51183, 78282, 51857, 50915, 52745, 51204, 50420, 51170, 52539, 50836, 51440, 61823, 52033, 51100, 52225, 50976, 51768, 62131, 52793, 50855, 51440, 51100, 51669, 51111, 52327, 51060, 50431, 51881, 50805, 51838, 52030, 51728, 51087, 52786, 50890, 51857, 50978, 52745, 59380, 53181, 50889, 51863, 50824, 52255, 51448, 56617, 64050, 51170, 52793, 50857, 51374, 51241, 50444, 51270, 55790, 50813, 51660, 51363, 51808, 50878, 50449, 53541, 51013, 52187, 50824, 51955, 56580, 56136, 50890, 51808, 50978, 51669, 50873, 54050, 59960, 51270, 52786, 50834, 51374, 50977, 51660, 66211, 52133, 52069, 52033, 51307, 75281, 59439, 51293, 53389, 51313, 51528, 52079, 56455, 50857, 52133, 51775, 51711, 50896, 51349, 51351, 52806, 51077, 56952, 56455, 50867, 51434, 50901, 57417, 50839, 51768, 52079, 58251, 50855, 51607, 50812, 51974, 52079, 54877, 50867, 51374, 51218, 51434, 51100, 51607, 51121, 52043, 51178, 50438, 50920, 56128, 54758, 51270, 56691, 50855, 51955, 61758, 57772, 50859, 51349, 50978, 53462, 56233, 52523, 50867, 51374, 50978, 50460, 55430, 51151, 50461, 51615, 51183, 51656, 51353, 51881, 51717, 51528, 56581, 56691, 50808, 51181, 50915, 51614, 51191, 53335, 50889, 51607, 50807, 51440, 57519, 51170, 52499, 50810, 51768, 61213, 55150, 52658, 51728, 51087, 51987, 50833, 51181, 62517, 52332, 53478, 50438, 51170, 53045, 50810, 51181, 51241, 50444, 51270, 52786, 54004, 51383, 66261, 57803, 52955, 51170, 52523, 50844, 51181, 78971, 52187, 52222, 60691, 52071, 53817, 53142, 51528, 53589, 54857, 50812, 51137, 51003, 52769, 51692, 53335, 50914, 51808, 50943, 52806, 50855, 51434, 51400, 50420, 51170, 53045, 54446, 50920, 50820, 51768, 61213, 53127, 50840, 51434, 50886, 51974, 53589, 52539, 50862, 51137, 51318, 53335, 50943, 51434, 51003, 51808, 56389, 51170, 52539, 54840, 51270, 52793, 50836, 51955, 56580, 55657, 61519, 51656, 50800, 52430, 52163, 50798, 56233, 54800, 50840, 51137, 50866, 52769, 62309, 51615, 50910, 52137, 62181, 52133, 51448, 51615, 51397, 52033, 51562, 59439, 51047, 53389, 51145, 51528, 56581, 56691, 50880, 51656, 51343, 52430, 51029, 51349, 51391, 52806, 50943, 51434, 51346, 52043, 51294, 51607, 51294, 50420, 51170, 52539, 50836, 51768, 62131, 52793, 62225, 52033, 50859, 52225, 52119, 51728, 51087, 52786, 50890, 51349, 50977, 52806, 59880, 51881, 50897, 51838, 61109, 52033, 50893, 52225, 50802, 55430, 64164, 51170, 52793, 50857, 51615, 50943, 51656, 51397, 51881, 52644, 51181, 51003, 51614, 51351, 51440, 51191, 53335, 51191, 51607, 51204, 50444, 51270, 55790, 50813, 53541, 50987, 52187, 51030, 50449, 52332, 51484, 53181, 50914, 51863, 50824, 51955, 56580, 56136, 54663, 51270, 52786, 50834, 51181, 50987, 51614, 60870, 60691, 52151, 52187, 52071, 53817, 51445, 51528, 52079, 56455, 50857, 51615, 53142, 51137, 51003, 51434, 51452, 52769, 51945, 53335, 51605, 51808, 51518, 51669, 52392, 56952, 56455, 55754, 50920, 50839, 51768, 52079, 58251, 50855, 51974, 52079, 54877, 50867, 51137, 51562, 50438, 50920, 56128, 54758, 51270, 56691, 64457, 51615, 51286, 52137, 50976, 51955, 61758, 57772, 50859, 51434, 74799, 52187, 51388, 53499, 50976, 53462, 56233, 52523, 50867, 51137, 50854, 51808, 54794, 51640, 65540, 52133, 51127, 52255, 51183, 51743, 51103, 54720, 51103, 51528, 56581, 56691, 50808, 51711, 51551, 52626, 51009, 51132, 51204, 53369, 50914, 51929, 51101, 52327, 51221, 51607, 51056, 50420, 51170, 52499, 50810, 51515, 50873, 51768, 61213, 55150, 50810, 51929, 57067, 51728, 51087, 51987, 50833, 51132, 50977, 51607, 59921, 51743, 51103, 52036, 58769, 51170, 53045, 50810, 51743, 51417, 58366, 51148, 53181, 51047, 51526, 51116, 52557, 50914, 51773, 51110, 51669, 51364, 52327, 51189, 50439, 51881, 51397, 50442, 52255, 51310, 50444, 51270, 52786, 55876, 51132, 53140, 51383, 66261, 57803, 50812, 51727, 55670, 51170, 52523, 50844, 51132, 50845, 51773, 59322, 51863, 51894, 52735, 51795, 50461, 51615, 55068, 51881, 52121, 51863, 51717, 57166, 52121, 51528, 53589, 54857, 50812, 51533, 51003, 55677, 51145, 52257, 51896, 51669, 51896, 51773, 66526, 51170, 53045, 54446, 50920, 50820, 51768, 61213, 53127, 50840, 51974, 53589, 52539, 50862, 51533, 51397, 52027, 64488, 51170, 52539, 54840, 51270, 52793, 50836, 51669, 51158, 51955, 56580, 55657, 50840, 52257, 51486, 53462, 56233, 54800, 50840, 51615, 51100, 52137, 50976, 51533, 50833, 51773, 51790, 50459, 51132, 50874, 51528, 56581, 56691, 50880, 51863 ]
[ 0, 250, 32625, 15855, 2125, 4246, 41, 21979, 8669, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 590, 10, 2635, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 18399, 11, 5, 762, 9, 83, 3694, 6, 10346, 30, 10, 33215, 13931, 9, 381, 406, 73, 534, 10431, 6, 1918, 6, 381, 6, 8, 1918, 4, 20, 34879, 9769, 10, 25306, 5466, 6, 442, 24, 157, 12, 9228, 4560, 25, 10, 19834, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 51444, 51134, 50417, 51131, 53066, 50960, 54347, 50970, 52654, 50998, 55730, 51131, 52658, 53805, 50905, 50998, 54112, 50929, 52729, 51444, 50822, 60918, 50441, 52012, 53743, 51444, 50822, 50947, 59956, 51504, 53140, 51574, 50822, 51317, 60489, 52012, 53820, 51574, 50822, 50947, 59097, 51207, 50822, 58700, 50905, 50960, 56624, 51131, 53066, 51444, 50905, 50960, 54347, 50970, 52654, 53805, 50905, 50998, 55730, 51131, 52658, 52012, 50905, 50998, 54112, 50929, 52729, 51444, 50822, 60918, 50441, 52012, 53743, 51444, 50822, 50960, 59956, 51504, 53140, 51574, 56936, 52012, 53820, 51574, 54846, 51207, 50822, 58700, 67943, 50947, 53066, 51444, 50905, 50970, 54347, 50947, 52654, 51504, 50905, 50960, 55730, 50970, 52658, 51444, 50905, 51131, 54112, 50986, 52729, 51207, 50822, 51246, 62532, 51444, 53743, 53271, 50822, 50960, 59956, 51444, 53140, 51207, 50822, 57662, 50453, 51246, 53820, 51444, 50822, 51064, 51203, 50459, 51504, 50822, 65962, 67943, 50929, 53066, 71602, 50998, 54347, 50929, 52654, 51725, 50905, 50986, 55730, 50998, 52658, 51574, 51412, 51207, 54112, 51246, 52729, 51131, 62532, 51725, 53743, 52012, 50822, 59655, 50447, 51725, 53140, 51504, 50822, 50970, 60489, 51131, 53820, 51725, 50822, 50947, 51203, 50459, 51574, 50822, 60533, 67943, 50970, 53066, 51504, 50905, 50960, 54347, 50970, 52654, 51207, 50822, 51246, 59910, 53271, 53193, 51574, 50822, 50929, 51203, 50435, 51207, 52691, 51725, 70140, 50998, 53103, 51574, 50905, 50986, 54803, 50998, 52843, 51504, 50822, 51131, 60489, 52012, 53820, 51444, 50822, 50970, 51203, 50459, 51504, 50822, 76572, 67943, 50960, 53066, 51574, 50905, 51246, 54347, 50960, 52654, 51207, 59910, 51725, 53193, 53271, 50822, 50998, 58952, 51725, 52691, 51504, 50810, 60918, 50441, 51725, 53103, 51504, 54803, 51131, 52843, 51207, 56366, 51725, 52863, 51207, 54678, 51246, 50810, 62954, 63118, 50986, 53066, 51504, 50845, 50970, 54347, 50947, 52654, 51574, 50845, 50929, 55730, 50986, 52658, 51725, 50845, 50929, 54112, 51064, 52729, 51504, 50810, 61498, 50441, 51725, 53103, 51504, 50810, 51032, 59956, 51131, 52843, 51207, 50810, 50998, 60489, 51725, 52863, 51207, 50810, 51032, 59097, 51246, 50810, 62954, 50845, 50970, 56624, 50986, 53066, 51504, 50845, 50970, 54347, 50947, 52654, 50929, 55730, 50986, 52658, 50929, 54112, 51064, 52729, 61498, 50441, 50986, 53103, 51131, 50810, 50970, 59956, 50986, 52843, 51504, 50810, 60265, 50453, 51131, 52863, 51725, 50810, 50947, 59097, 51574, 50810, 60533, 50845, 51438, 56624, 51067, 53066, 51504, 50845, 50947, 54347, 51067, 52654, 72878, 50970, 55730, 50947, 52658, 51725, 50845, 50960, 54112, 50970, 52729, 51311, 50810, 57662, 50441, 50960, 53103, 51207, 50810, 51076, 59956, 51311, 52843, 69125, 51067, 60489, 50929, 52863, 51311, 50810, 51438, 59097, 69125, 63133, 50845, 51292, 56624, 51032, 53066, 51574, 50845, 50929, 54347, 51032, 52654, 51207, 50845, 50998, 55730, 50929, 53387, 53092, 50845, 50986, 54112, 50998, 52729, 51131, 50810, 60918, 50441, 50986, 53103, 51504, 50810, 50947, 59956, 51131, 52843, 51725, 50810, 60265, 50453, 51504, 52863, 52012, 50810, 51292, 59097, 51725, 50810, 50799, 53092, 50845, 51067, 56624, 51076, 53066, 51444, 50845, 51169, 54347, 51076, 52654, 51574, 50845, 50998, 55730, 51169, 52658, 51846, 50845, 51311, 54112, 50960, 52729, 59655, 50441, 51131, 53743, 51504, 50822, 51032, 51203, 50447, 51131, 53140, 51444, 56936, 51504, 50822, 50947, 52863, 51131, 50822, 50970, 54678, 64268, 64102, 50799, 66315, 62151, 50417, 51207, 53728, 51574, 50822, 51076, 51203, 50423, 51207, 52921, 51725, 56739, 51574, 50822, 50929, 52658, 51207, 50822, 50998, 54112, 66315, 50929, 52729, 51131, 50822, 59655, 50441, 51504, 53743, 51444, 50822, 50947, 51203, 50447, 51504, 53140, 53092, 56936, 51444, 50822, 50970, 52863, 51504, 51412, 50960, 54678, 64837, 73934, 56624, 51574, 50822, 51032, 53066, 51504, 50822, 51076, 54347, 51444, 50822, 50947, 52654, 51574, 50905, 51169, 55730, 51076, 52658, 51846, 50905, 50998, 54112, 51169, 52729, 52012, 50822, 61498, 50441, 51131, 53743, 51574, 55118, 51725, 53140, 52012, 56936, 51574, 53820, 51725, 54846, 51574, 50822, 65309, 67943, 51032, 53066, 52012, 50905, 51549, 54347, 51032, 52654, 51725, 50905, 50947, 55730, 51032, 52658, 52562, 50905, 51078, 54112, 50947, 52729, 52028, 50905, 51032, 56532, 50947, 53103, 51078, 54803, 50947, 52843, 50960, 56366, 50986, 53820, 51246, 54846, 51131, 50822, 61108, 67943, 51064, 53066, 71602, 51067, 54347, 51064, 52654, 53271, 50905, 50929, 55730, 51064, 52658, 53805, 50905, 50998, 54112, 50929, 52729, 51574, 50905, 51064, 56532, 50929, 53103, 50998, 54803, 50929, 52843, 50986, 56366, 51246, 53820, 51131, 54846, 51207, 50822, 58700, 67943, 50947, 53066, 51504, 50905, 51032, 54347, 50947, 52654, 52012, 50905, 50970, 55730, 50947, 52658, 53092, 50905, 50960, 54112, 50970, 52729, 51444, 50905, 51169, 56532, 50970, 53103, 50960, 54803, 50970, 52843, 51311, 56366, 51131, 53820, 51846, 54846, 52028, 50822, 65962, 67943, 50929, 53066, 51574, 50905, 51064, 54347, 50929, 52654, 71602, 50998, 55730, 50929, 52658, 51246, 50905, 51317, 54112, 50998, 52729, 53805, 50905, 50929, 56532, 50998, 53103, 51317, 54803, 50998, 52843, 51131, 56366, 51207, 53820, 51504, 54846, 51574, 50822, 58700, 67943, 51131, 53066, 51444, 50905, 50960, 54347, 50970, 52654, 53805, 50905, 50998, 55730, 51131, 52658, 52012, 50905, 50998, 54112, 50929, 52729, 51444, 50822, 60918, 50441, 52012, 53743, 51444, 50822, 50960, 59956, 51504, 53140, 51574, 50822, 51317, 60489, 52012, 53820, 51574, 50822, 51131, 59097, 51207, 50822, 58700, 50822, 50960, 56624, 51131, 50822, 50970, 53066, 70748, 50947, 54347, 51131, 50822, 50970, 52654, 51504, 50822, 50960, 55730, 51131, 50822, 50970, 52658, 51444, 50822, 51311, 54112, 51504, 50822, 50960, 52729, 53092, 50822, 50970, 56532, 51444, 50822, 50960, 53103, 51504, 50822, 51311, 54803, 51444, 50822, 50960, 52843, 53092, 50822, 51846, 56366, 51444, 50822, 50970, 52863, 51846, 50822, 50998, 54678, 53092, 50822, 69125, 65309, 50905, 51317, 56624, 50998, 53066, 53805, 50905, 50929, 54347, 50998, 52654, 51574, 50905, 51317, 55730, 50998, 52658, 53805, 50905, 51207, 54112, 51246, 52729, 69468, 50986, 56532, 51246, 53103, 51574, 50905, 51207, 54803, 51246, 52843, 53805, 50905, 51574, 56366, 51246, 52863, 52012, 50905, 51131, 54678, 51207, 50810, 60533, 50905, 51504, 56624, 51131, 53066, 51504, 50905, 50960, 54347, 51131, 52654, 52012, 50905, 51504, 55730, 51131, 52658, 52012, 50905, 51444, 54112, 51504, 52729, 51444, 50905, 51846, 56532, 51504, 53103, 52012, 50905, 51444, 54803, 51504, 52843, 53092, 56366, 51504, 52863, 51574, 54678, 51444, 50810, 50799, 53805, 63118, 51574, 53728, 53805, 50822, 50998, 58861, 52012, 52921, 51207, 50822, 51317, 59910, 51574, 53193, 53805, 50822, 51131, 58952, 51207, 52691, 51504, 70140, 51131, 53103, 52012, 50905, 50960, 54803, 50970, 52843, 53805, 50905, 50998, 56366, 51131, 52863, 52012, 50905, 50998, 54678, 64162, 60533, 50905, 50970, 56624, 50960, 53066, 51311, 50905, 50970, 54347, 50947, 52654, 51574, 50905, 50929, 55730, 50998, 52658, 51317, 50905, 50929, 54112, 51064, 52729, 51504, 50905, 50947, 56532, 50970, 53103, 65813, 50947, 54803, 51032, 52843, 71602, 51064 ]
[ 0, 250, 765, 37903, 9, 15855, 930, 4246, 10, 5540, 13305, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 15352, 30054, 648, 2933, 8, 3722, 5466, 20455, 9, 10, 822, 19834, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50999, 53218, 50951, 51798, 50999, 50795, 52177, 50951, 53471, 50999, 53505, 50876, 50807, 52177, 50999, 54789, 50951, 53658, 50999, 50795, 57731, 51146, 54253, 51430, 58627, 50999, 50991, 58106, 50634, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 1619, 2214, 14, 28337, 4785, 9, 15855, 8, 3495, 930, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 31391, 1672, 9590, 4, 20, 2125, 16, 278, 11, 274, 3694, 19, 10, 7212, 20889, 9, 14881, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 12608, 6, 2060, 6, 230, 10431, 6, 2060, 6, 8, 163, 43531, 6, 2351, 10, 1372, 8, 33558, 5466, 1969, 13, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50796, 50796, 65195, 50857, 51349, 51477, 52196, 51477, 60474, 50905, 51888, 55974, 64545, 52688, 50850, 67146, 50972, 52002, 51166, 52306, 63819, 62821, 75370, 57524, 50847, 52783, 50935, 52015, 51776, 53486, 53170, 52168, 50798, 50867, 51349, 55332, 53486, 50973, 52168, 52196, 52718, 50816, 50867, 51137, 51047, 51946, 63897, 51224, 56317, 51326, 50867, 51899, 50867, 54706, 50867, 51528, 76300, 50904, 51132, 50915, 51996, 57933, 50868, 50901, 51888, 64233, 53770, 50909, 51766, 50320, 50838, 52306, 51074, 54409, 68495, 50867, 51132, 58363, 72713, 51079, 51996, 65005, 50816, 53860, 50935, 51681, 50318, 50838, 53170, 50972, 52991, 77212, 50867, 51374, 61622, 66918, 51074, 53064, 50845, 54360, 50845, 53064, 50845, 53525, 54434, 50992, 52136, 51149, 51283, 52747, 53280, 54409, 51965, 51910, 68468, 53280, 50968, 51965, 53339, 59956, 51224, 54185, 50798, 50867, 51602, 50905, 52541, 67763, 51326, 54481, 50816, 50867, 51374, 50873, 53064, 50873, 63535, 63553, 51477, 50850, 53280, 51713, 51637, 52002, 55812, 51206, 50840, 51349, 51310, 50871, 51637, 50877, 55812, 52196, 51310, 50417, 51266, 54718, 51201, 55884, 51182, 54149, 51284, 53393, 53860, 51284, 59371, 51680, 50850, 52783, 51888, 52980, 52002, 53486, 50798, 50867, 51349, 59487, 52980, 50877, 53486, 52196, 61647, 51558, 55508, 54077, 51304, 55508, 76300, 50867, 51137, 51295, 51946, 51295, 50441, 51384, 54651, 51733, 54596, 51284, 58639, 51304, 54353, 51384, 53393, 55296, 50867, 51137, 50845, 51946, 59097, 51733, 50858, 50799, 51384, 59709, 52519, 50850, 51318, 51648, 53577, 52002, 51637, 51206, 50809, 51857, 58871, 53577, 50877, 51637, 56117, 76882, 51733, 54718, 51690, 50858, 51374, 50845, 53064, 58861, 51926, 54149, 51384, 53393, 50867, 51857, 50845, 56117, 59910, 51733, 55508, 53860, 51690, 62773, 53486, 50850, 52015, 51683, 55586, 52002, 52168, 50798, 55296, 50862, 51844, 51591, 50900, 55586, 50877, 52168, 55308, 80179, 51690, 51336, 51206, 50840, 51528, 50867, 51752, 69745, 51752, 66428, 51752, 50924, 51974, 50867, 51450, 50867, 52202, 52728, 51070, 54481, 52202, 50948, 51528, 50867, 51752, 52115, 52202, 53466, 52155, 51174, 51974, 50867, 52202, 51013, 51450, 54434, 53320, 69204, 51070, 50867, 51528, 76415, 51752, 50967, 50427, 51752, 51628, 50798, 64938, 51752, 50865, 51450, 68569, 52202, 55441, 51070, 54481, 51752, 50948, 51528, 53983, 51535, 51596, 61555, 51752, 58798, 51596, 50910, 51974, 51337, 51789, 50983, 51596, 50841, 51450, 73006, 51070, 50867, 51528, 51535, 51606, 71727, 51606, 50812, 51974, 51337, 51606, 73684, 51148, 51789, 63419, 51070, 54481, 51789, 50938, 51528, 51535, 51606, 73965, 51789, 50937, 50425, 51596, 50925, 50431, 51789, 50807, 51974, 51337, 51450, 51148, 50442, 51752, 76630, 51070, 60870, 51596, 51221, 51528, 53983, 51535, 50426, 51596, 66084, 51596, 50937, 51974, 51337, 51450, 51148, 51752, 70269, 51070, 54481, 51752, 50859, 51528, 51535, 51752, 77224, 51596, 51157, 51974, 51337, 51450, 52096, 52202, 50807, 50449, 51374, 51241, 52474, 63419, 51070, 50867, 59007, 51108, 50850, 52025, 50909, 51466, 50885, 51397, 50868, 51397, 50850, 75048, 53284, 50905, 51349, 51294, 51752, 51116, 50900, 51535, 50916, 51535, 75474, 51039, 55191, 50868, 52011, 50850, 51333, 50909, 64051, 52839, 50905, 51752, 66428, 51752, 50924, 53782, 51079, 56644, 51349, 56282, 50848, 51466, 50847, 51333, 50935, 51330, 50848, 51397, 79168, 50935, 75048, 53284, 50905, 51137, 51241, 52202, 59153, 51535, 68930, 50973, 51535, 50450, 50848, 51466, 50847, 51330, 50935, 51330, 50804, 54042, 54509, 76677, 50972, 73498, 52202, 50948, 59560, 51333, 50872, 51333, 50850, 70503, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51132, 51294, 51752, 58035, 51535, 70837, 75474, 51039, 50972, 52202, 53466, 50885, 51333, 67907, 50850, 51330, 50804, 52839, 50905, 52155, 51174, 53782, 51079, 56644, 75430, 52202, 60315, 50868, 52011, 50992, 51330, 50935, 51333, 51042, 51397, 50868, 51397, 50992, 75048, 53284, 50905, 51374, 51091, 51086, 51535, 50916, 51535, 50965, 51535, 67345, 51079, 53320, 69204, 50868, 52011, 50992, 51108, 50935, 52025, 50804, 54042, 54509, 76677, 50972, 51374, 50866, 59007, 51333, 50850, 51333, 50909, 52011, 50885, 51397, 50868, 51397, 50850, 75048, 53284, 50905, 51349, 51204, 50900, 51535, 50916, 51535, 75474, 50415, 51752, 50967, 51039, 55191, 50868, 51333, 50850, 51108, 50909, 56858, 52839, 68751, 51752, 74193, 51079, 56644, 51349, 50866, 50433, 51752, 54930, 50848, 51333, 50847, 51333, 50935, 51108, 50848, 51397, 79168, 50935, 75048, 53284, 50905, 51137, 51294, 50899, 51535, 68930, 50973, 51535, 50439, 52202, 55441, 50848, 51330, 78656, 50935, 65155, 54042, 54509, 50801, 55559, 50972, 51137, 50866, 51752, 50948, 57342, 51333, 50872, 51330, 50847, 52011, 50935, 51330, 50872, 51397, 79168, 50935, 51397, 51007, 75048, 53284, 50905, 51137, 51204, 51596, 60657, 51535, 68930, 50973, 51535, 50902, 51535, 51039, 50972, 51752, 50952, 57189, 51466, 50872, 51330, 78656, 50935, 52011, 50804, 52839, 50905, 51596, 50910, 53782, 51079, 56644, 51137, 50938, 51789, 50983, 51596, 53116, 50885, 51333, 50868, 51330, 50847, 70503, 51397, 50868, 51397, 50847, 75048, 53284, 50905, 51338, 51238, 50900, 51535, 50916, 51535, 68930, 67345, 58369, 50885, 51333, 50868, 52011, 50847, 65155, 54042, 50905, 51374, 59592, 76677, 50972, 59560, 51330, 50872, 51330, 50850, 51333, 50885, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51132, 51241, 51606, 51238, 50900, 51535, 70837, 75474, 51039, 55191, 50885, 51333, 50872, 52011, 50850, 64051, 52839, 50905, 51606, 52749, 50801, 51079, 56644, 51132, 50977, 51606, 51646, 50885, 51333, 50868, 51333, 50847, 70503, 51397, 50868, 51397, 50847, 75048, 53284, 50905, 51338, 51091, 51789, 51091, 50900, 51535, 50916, 51535, 68930, 50450, 50885, 51466, 50868, 51466, 50847, 64051, 54042, 54509, 76677, 50972, 51338, 50917, 51789, 50938, 57342, 51466, 69690, 50850, 51333, 50848, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51181, 51241, 51606, 51100, 50899, 51535, 70837, 75474, 51039, 50972, 51789, 50937, 50425, 51596, 50925, 57189, 51466, 50872, 51333, 50850, 51330, 50804, 52839, 79614, 51789, 53182, 50801, 51079, 56644, 51181, 58020, 50885, 51330, 50868, 51330, 50847, 70503, 51397, 50868, 51397, 50847, 75048, 53284, 50905, 51338, 51204, 50900, 51535, 50916, 51535, 68930, 50442, 51752, 51351, 67345, 58369, 50885, 51330, 50868, 51333, 50847, 64051, 54042, 54509, 76677, 50972, 51338, 78971, 51596, 51221, 57342, 51330, 50872, 51330, 50850, 51330, 50848, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51181, 51241, 50899, 51535, 70837, 75474, 51039, 55191, 50848, 51333, 69690, 50850, 59975, 52839, 50905, 51596, 66084, 51596, 50937, 53782, 51079, 56644, 51181, 58020, 50868, 51333, 50850, 51466, 50909, 51108, 76677, 50905, 51349, 51241, 51752, 51191, 58463, 51134, 72981, 76878, 50900, 51419, 50916, 51419, 50877, 67647, 50868, 51330, 50850, 51330, 50909, 58799, 54042, 54509, 76677, 50972, 51349, 50866, 51752, 50859, 59560, 51466, 50872, 52397, 50850, 51330, 50885, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51132, 51294, 51752, 51290, 50900, 51535, 70837, 75474, 51039, 55191, 50885, 51330, 50872, 51330, 50850, 65155, 52839, 50905, 51596, 51157, 53782, 51079, 56644, 51132 ]
[ 0, 250, 15352, 30054, 5175, 8, 3495, 2214, 4246, 10, 13305, 8, 2724, 368, 31365, 25999, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 8, 10, 2635, 178, 5285, 20889, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 230, 6, 8, 274, 4, 20, 6711, 7630, 6568, 10, 25306, 8, 2829, 2933, 5466, 6, 19, 17878, 9, 9066, 8, 1372, 4785, 1328, 42, 455, 12, 16096, 2214, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 57448, 51050, 59879, 50805, 51339, 52864, 51027, 69214, 57743, 57669, 67611, 53466, 51027, 69214, 57743, 58801, 71446, 53308, 51027, 69214, 57743, 58681, 76916, 53470, 51085, 61552, 51472, 51430, 51472, 66626, 69214, 61679, 53794, 50997, 69214, 61679, 53702, 50997, 69214, 61679, 62355, 61673, 51146, 50812, 54197, 56472, 51486, 51062, 51486, 56945, 69214, 57743, 53466, 51027, 69214, 57743, 53308, 51027, 69214, 57743, 53470, 51050, 52815, 51027, 69214, 57743, 53794, 51027, 69214, 57743, 58681, 77877, 56934, 51027, 69214, 57743, 50849, 54662, 74492, 58050, 51608, 50330, 55385, 50997, 64151, 57743, 53466, 50997, 64151, 57743, 60358, 51124, 51146, 65903, 50997, 64151, 57743, 58926, 61673, 51146, 52841, 51214, 67860, 60693, 51446, 51487, 51446, 50444, 51026, 51519, 50303, 64151, 57743, 58263, 53794, 51026, 51519, 50303, 64151, 57743, 58263, 53702, 51026, 51519, 50303, 64151, 57743, 58263, 62355, 66188, 51430, 50812, 53997, 62530, 61552, 50805, 51430, 52864, 78980, 52357, 52710, 76533, 52052, 64774, 60998, 55890, 53182, 68278, 51487, 52841, 72370, 51430, 52711, 60437, 51062, 52848, 60216, 51081, 52955, 59285, 68278, 55524, 61552, 52596, 51085, 61875, 50905, 54662, 51568, 50302, 53913, 51214, 72046, 50892, 54734, 51644, 50297, 59023, 51100, 58060, 63559, 50931, 51177, 59409, 50978, 60496, 74458, 50876, 68465, 50931, 66913, 50876, 51058, 50799, 53493, 51455, 50285, 51712, 50297, 58887, 51481, 50420, 52172, 66956, 75360, 52436, 76376, 51481, 50432, 52380, 66956, 70448, 53625, 51310, 52206, 61459, 57292, 51481, 58365, 73265, 50876, 77146, 52833, 52415, 50314, 51254, 50799, 52380, 51047, 51247, 51712, 50297, 58887, 51481, 58060, 75360, 50931, 51481, 50432, 50999, 51481, 50438, 51062, 51481, 50444, 50999, 73265, 52380, 71998, 77146, 52380, 65090, 51254, 50799, 52833, 51608, 50278, 51712, 50290, 58879, 50902, 55054, 50931, 54325, 52833, 51159, 51081, 52739, 51146, 53269, 53610, 51364, 51214, 63141, 53624, 50902, 63319, 50931, 66185, 50951, 54939, 51220, 53176, 53493, 52098, 50330, 50851, 50799, 53625, 51307, 51062, 50851, 52206, 51853, 50292, 59288, 51220, 52580, 51081, 50874, 50900, 51677, 50861, 51677, 50432, 50999, 52691, 50968, 53783, 50876, 52843, 50973, 54424, 63199, 50799, 53493, 50805, 51247, 69769, 56876, 51481, 50420, 52172, 65090, 75360, 52436, 71998, 51481, 50432, 52380, 71949, 70448, 53625, 51141, 52206, 61459, 57292, 51481, 58365, 73265, 50876, 77146, 52833, 68995, 51254, 50799, 52380, 51077, 51247, 51712, 50297, 58887, 51481, 58060, 75360, 50931, 51481, 50432, 50999, 51481, 50438, 51062, 51481, 50444, 50999, 73265, 52380, 76376, 77146, 52380, 61902, 51254, 50799, 52833, 51619, 50290, 51712, 50302, 58879, 50902, 55054, 50906, 54325, 52833, 65068, 52739, 52833, 62597, 53269, 53625, 51310, 52759, 51853, 50293, 57997, 50968, 54043, 50906, 53567, 50861, 54900, 53625, 63988, 50822, 50799, 53493, 51047, 51799, 51741, 50294, 50981, 57340, 58007, 61913, 53770, 50877, 57586, 62244, 53387, 50877, 58000, 64213, 55306, 51234, 51127, 50997, 71158, 50906, 60358, 63191, 53794, 53610, 61178, 58050, 60693, 52961, 53610, 61178, 58050, 60693, 50805, 50799, 55499, 51235, 51085, 51356, 50900, 51356, 57340, 54666, 56645, 53471, 57828, 70576, 55499, 53150, 53610, 73033, 57253, 65614, 54729, 55499, 73033, 54666, 56645, 51646, 57828, 51958, 50280, 52297, 50292, 66677, 72341, 69797, 52297, 50320, 63505, 53625, 50893, 50799, 53493, 64110, 65481, 63837, 72945, 51936, 50285, 52530, 50297, 51016, 55961, 51242, 56207, 51242, 59409, 75120, 50931, 74458, 50876, 68465, 53493, 66388, 66913, 53493, 60898, 51058, 50799, 53610, 51734, 50285, 51568, 50297, 55041, 50956, 65785, 53493, 51267, 79378, 58783, 60465, 53786, 51267, 51247, 51568, 50297, 55200, 50956, 68465, 52833, 57254, 66913, 52380, 59198, 51058, 50799, 52380, 51734, 50290, 51568, 50302, 50892, 54569, 65785, 52436, 75600, 68766, 52380, 60898, 60465, 52833, 51267, 51234, 51568, 50302, 55200, 50899, 68465, 52833, 75600, 66913, 53786, 60898, 51058, 50799, 53493, 51734, 50285, 51568, 50297, 50892, 54569, 65785, 53493, 75600, 68766, 53493, 60898, 60465, 53610, 51295, 51247, 51568, 50297, 55200, 50956, 51242, 60027, 66913, 53786, 60898, 51058, 50799, 52833, 51127, 51234, 51568, 50302, 50892, 54569, 51242, 60564, 51242, 58783, 51242, 66836, 74458, 50906, 68465, 52833, 60898, 66913, 52833, 66867, 51058, 50799, 52833, 51807, 50282, 51568, 50294, 53770, 52380, 68323, 72169, 59023, 54137, 53786, 51295, 51799, 51568, 50294, 54058, 50899, 72169, 58363, 54509, 52833, 50866, 50799, 52380, 51619, 50287, 69836, 50981, 54569, 58127, 64290, 54335, 52436, 51312, 50899, 58127, 64290, 54342, 50899, 58127, 64290, 54137, 50899, 59055, 62163, 57105, 52436, 58603, 52380, 50924, 50799, 52833, 50806, 51120, 75677, 67957, 70606, 52530, 50318, 52530, 50323, 67039, 52833, 51290, 50432, 52833, 59894, 52833, 51055, 51799, 52297, 50294, 70866, 69797, 73988, 52297, 50322, 59731, 53625, 59465, 55626, 50948, 50799, 53610, 62002, 51214, 62352, 56730, 55673, 57022, 51631, 51214, 64325, 57952, 60446, 66042, 54729, 51214, 62352, 56730, 55673, 57022, 51646, 51214, 52297, 50299, 72341, 73988, 52297, 50323, 63505, 53610, 50977, 50799, 55499, 51734, 50280, 74389, 50892, 53502, 65785, 53610, 75600, 62430, 51242, 50861, 68766, 53625, 52434, 50304, 60465, 52833, 51267, 52206, 74389, 55200, 50900, 68465, 52380, 75600, 62430, 51242, 50861, 66913, 53625, 52434, 50304, 51058, 50799, 52833, 51734, 50285, 51568, 50297, 50892, 53502, 54335, 52380, 67538, 59023, 54342, 53493, 52434, 50304, 54137, 52380, 51267, 51247, 51568, 50297, 55200, 50900, 54323, 50871, 59023, 54509, 53493, 68913, 60864, 53493, 50862, 50799, 55499, 51218, 52206, 74389, 50892, 53502, 51242, 60564, 62430, 51242, 50861, 68766, 53610, 52434, 50304, 60465, 53493, 52434, 50280, 74389, 55200, 53625, 52434, 50304, 68465, 52833, 51267, 50906, 62430, 51242, 50861, 66913, 50900, 51058, 50799, 52380, 51127, 51247, 51568, 50297, 50892, 53502, 51242, 56207, 60236, 51242, 56014, 60465, 51247, 51568, 50297, 55200, 50900, 68465, 52380, 70148, 60236, 66913, 50900, 51058, 50799, 53979, 52530, 50277, 51741, 50289, 60115, 51040, 62430, 58127, 54335, 53979, 51710, 50305, 64233, 58399, 54100, 53625, 51710, 50305, 61432, 57348, 53264, 55499, 51442, 50277, 51807, 50289, 60510, 57828, 69616, 57094, 64651, 54230, 55499, 51215, 50916, 58263, 65631, 51519, 50289, 51800, 50301, 56934, 50916, 55143, 62036, 58565, 53610, 50813, 50799, 57828, 51936, 50282, 51356, 51120, 51356, 50420, 55499, 51073, 55179, 50877, 55673, 51631, 50871, 58696, 60446, 54729, 53493, 75522, 56036, 55673, 51646, 55499, 51936, 50287, 51336, 51026, 51336, 50444, 53610, 61928, 56730, 55648, 51798, 50861, 57952, 67734, 55416, 53625, 69718, 56730, 55648, 50795, 50799, 53610, 51936, 50289, 51356, 51027, 51356, 50420, 53493, 60757, 56036, 55673, 51631, 53979, 61623, 58696, 60446, 54729, 52833, 75522, 56036, 55673, 51646, 53493, 51936, 50277, 51364, 51279, 51364, 50444, 53625, 58138, 55499, 51192, 50916, 51345, 50861, 51345, 50877, 51345, 51028, 51345, 50459, 53979, 50890, 50799, 52833, 68585, 51799, 73470, 60110, 50877, 55673, 51631, 51247, 51442, 50297, 57874, 58696, 60446, 54729, 51279, 66843, 60110, 50877, 55673, 51646, 51120, 70022, 68669, 70866 ]
[ 0, 250, 20902, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 38668, 11212, 6, 1076, 560, 31365, 25999, 6, 3459, 13305, 6, 8, 5921, 3343, 1290, 642, 5255, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 14899, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 230, 10431, 6, 2060, 6, 8, 12608, 3639, 7, 63, 33928, 8, 33558, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50799, 54103, 51486, 51831, 52369, 52226, 51486, 53361, 52829, 55340, 52829, 55796, 51748, 61437, 54373, 57016, 50851, 50685, 50317, 59895, 61641, 57252, 50685, 50317, 57959, 61641, 58604, 50685, 50317, 60466, 61641, 59038, 54103, 51003, 52185, 51016, 52226, 51003, 57009, 50827, 50685, 50317, 60004, 61641, 51123, 50461, 59255, 51671, 50799, 52522, 51077, 52770, 51148, 52200, 51148, 62250, 50933, 50685, 50317, 59895, 61641, 57252, 50685, 50317, 57959, 61641, 58604, 54103, 51183, 51831, 51356, 52226, 51183, 57016, 50933, 50685, 50317, 60466, 61641, 59038, 50685, 50317, 60004, 61641, 51123, 50460, 53465, 52829, 56679, 51449, 50461, 54165, 52829, 50799, 52770, 51358, 52832, 51742, 51643, 51742, 59269, 54270, 57644, 51051, 59744, 59895, 61641, 57252, 59744, 57959, 61641, 58604, 59744, 60466, 61641, 59038, 52832, 50981, 52185, 50807, 51643, 50981, 57009, 51051, 59744, 60004, 61641, 51123, 50460, 55796, 51671, 50799, 54103, 51148, 51831, 51077, 52226, 51148, 57016, 50972, 59744, 59895, 61641, 57252, 59744, 57959, 61641, 58604, 52832, 51145, 52770, 50918, 51643, 51145, 57644, 51254, 59744, 60466, 61641, 59038, 59744, 60004, 61641, 51123, 50461, 55340, 52204, 53361, 51449, 53654, 51671, 50799, 54641, 51148, 54103, 51077, 51721, 51148, 56939, 54270, 60388, 51142, 50685, 50317, 59895, 61641, 57252, 50685, 50317, 57959, 61641, 58604, 50685, 50317, 60466, 54641, 50892, 54641, 50795, 51721, 50892, 57020, 51051, 61641, 59038, 54641, 50987, 52832, 50865, 51721, 50987, 56220, 50851, 50685, 50317, 60004, 54103, 50983, 58220, 51310, 52185, 51310, 61641, 51123, 50457, 60388, 51051, 50461, 54165, 52829, 52693, 51671, 50799, 50685, 50317, 59895, 65385, 57252, 50685, 50317, 57959, 58220, 50917, 65385, 58604, 54103, 50938, 60388, 50907, 50685, 50317, 60466, 52770, 50938, 57644, 50912, 65385, 59038, 51831, 51048, 57016, 50912, 50685, 50317, 60004, 65385, 51123, 50461, 55796, 51449, 50799, 51831, 52536, 54103, 52069, 52226, 52069, 61437, 52503, 57016, 50912, 50685, 50317, 59895, 59744, 57252, 50685, 50317, 57959, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 52832, 50892, 52770, 50795, 51643, 50892, 57644, 50912, 59744, 51123, 50461, 56679, 51671, 53465, 51671, 50799, 52832, 52151, 52770, 51991, 51643, 52151, 59269, 52503, 57644, 51753, 50685, 50317, 59895, 59744, 57252, 50685, 50317, 57959, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 59744, 51123, 50461, 53361, 52829, 55340, 52829, 55796, 51748, 50799, 54103, 51591, 51831, 52311, 52226, 51591, 51638, 51922, 51690, 51662, 57016, 50851, 50685, 50317, 63907, 56621, 61641, 57252, 50685, 50317, 63907, 55649, 61641, 58604, 50685, 50317, 63907, 55933, 61641, 59038, 54103, 51003, 52185, 51016, 52226, 51003, 52838, 51097, 57009, 50827, 50685, 50317, 63907, 55891, 61641, 51123, 50461, 59255, 51671, 50799, 52522, 51077, 52770, 51148, 52200, 51148, 52405, 51244, 53148, 51922, 62250, 50933, 50685, 50317, 63907, 56621, 61641, 57252, 50685, 50317, 63907, 55649, 61641, 51123, 50437, 51690, 68116, 54103, 51183, 51831, 51356, 52226, 51183, 57016, 50933, 50685, 50317, 63907, 55933, 61641, 59038, 50685, 50317, 63907, 55891, 61641, 51123, 50460, 53465, 52829, 56679, 51449, 50461, 54165, 52829, 52316, 52727, 50799, 52770, 51358, 52832, 51742, 51643, 51742, 51811, 51662, 57644, 51051, 59744, 63907, 56621, 61641, 57252, 59744, 63907, 55649, 61641, 58604, 59744, 63907, 55933, 61641, 59038, 52832, 50981, 52185, 50807, 51643, 50981, 52838, 50995, 57009, 51051, 59744, 63907, 55891, 61641, 51123, 50460, 55796, 51671, 50799, 54103, 51148, 51831, 51077, 52226, 51148, 51690, 51244, 51887, 51922, 57016, 50851, 59744, 63907, 56621, 61641, 57252, 59744, 63907, 55649, 61641, 58604, 52832, 51145, 52770, 50918, 51643, 51145, 51811, 51148, 57644, 50912, 59744, 63907, 55933, 61641, 59038, 59744, 63907, 55891, 61641, 51123, 50461, 55340, 52204, 53361, 51449, 53654, 51671, 50799, 54641, 51148, 54103, 51077, 51721, 51148, 51905, 53413, 53148, 51922, 60388, 50912, 50685, 50317, 63907, 56621, 61641, 57252, 50685, 50317, 63907, 55649, 61641, 58604, 50685, 50317, 63907, 55933, 54641, 50892, 54641, 50795, 51721, 50892, 57020, 51051, 61641, 59038, 54641, 50987, 52832, 50865, 51721, 50987, 56220, 50851, 50685, 50317, 63907, 55891, 54103, 50983, 58220, 51310, 52185, 51310, 61641, 51123, 50457, 60388, 51051, 50461, 54165, 52829, 52693, 51671, 53599, 51922, 50799, 50685, 50317, 63907, 56621, 65385, 57252, 50685, 50317, 63907, 55649, 58220, 50917, 54103, 50974, 52226, 50974, 65385, 58604, 54103, 50978, 54103, 50938, 52226, 50978, 51905, 50974, 60388, 50907, 50685, 50317, 63907, 55933, 54103, 50978, 52770, 50938, 52226, 50978, 51811, 50905, 57644, 50912, 65385, 59038, 54103, 51312, 51831, 51048, 52226, 51312, 51690, 51253, 57016, 50912, 50685, 50317, 63907, 55891, 65385, 51123, 50461, 55796, 51449, 50799, 51831, 52536, 54103, 52069, 52226, 52069, 52316, 53201, 51690, 52151, 57016, 50912, 50685, 50317, 63907, 56621, 59744, 57252, 50685, 50317, 57959, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 52832, 51411, 52770, 51112, 51643, 51411, 51811, 51008, 57644, 50912, 59744, 72037, 51905, 61982, 56679, 51671, 53465, 51671, 50799, 51811, 51313, 50685, 50317, 59895, 52832, 52151, 52770, 51991, 51643, 52151, 57644, 50912, 59744, 57252, 50685, 50317, 51123, 70618, 52204, 50432, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 59744, 63907, 51031, 50460, 50801, 78360, 52693, 51801, 53361, 51801, 54516, 50942, 52158, 51337, 52569, 51337, 65477, 51394, 50910, 57020, 51051, 53358, 60008, 52132, 50825, 51921, 72364, 51468, 50420, 51186, 50955, 51890, 62314, 54778, 52144, 50825, 52111, 50870, 57453, 60931, 51394, 53244, 51186, 50942, 52158, 51642, 53234, 51242, 51165, 50925, 57020, 55171, 54109, 58096, 51179, 50825, 71679, 51186, 50955, 51890, 55171, 54528, 54778, 50863, 52224, 50870, 55935, 52904, 51186, 50878, 52158, 50995, 53464, 50915, 51394, 50830, 65477, 57020, 73962, 53735, 51392, 50825, 52260, 72536, 64864, 51186, 66063, 54528, 54778, 50863, 52283, 50908, 57471, 53003, 51186, 50878, 51890, 58589, 53735, 58096, 51179, 50825, 52145, 64360, 72881, 51394, 52643, 51186, 50955, 52158, 51645, 53234, 51337, 57020, 56786, 54528, 54778, 50863, 74692, 55985, 50870, 54516, 59576, 53735, 51392, 56127, 51890, 51376, 61672, 50418, 51468, 50419, 51165, 50897, 51394, 51835, 51186, 50955, 52158, 51172, 52569, 51203, 57020, 54090, 54528, 54778, 50863, 52111, 50870, 57453, 52872, 51186, 59576, 53617, 58096, 51179, 54974, 51890, 51074, 50832, 66284, 65477, 51394, 51628, 51186, 50959, 52158, 51878, 53234, 50959, 57020, 56786, 54528, 54778, 50863, 52224, 50870, 55935, 52904, 51186, 50942, 53464, 51419, 50832, 53735, 51392, 50825, 52260, 72536, 64864, 51186, 66063, 54528, 54778, 50863, 52283, 50908, 57471, 60145, 51395, 50833, 51811, 58460, 51186, 50878, 57644, 56375, 54109, 58096, 51179, 64125, 51488, 50878, 51905, 77462, 60388, 59469, 64360, 51165, 50942, 51394, 58298, 51186, 50955, 52158, 51254, 51890, 51074, 57020, 59469, 54839, 54778, 58958, 51629, 50878, 51375, 52121, 50459, 64747, 56786, 50837, 55985, 57015, 51165, 50925, 51394, 50938, 54516, 50942, 52569, 51110, 52158, 51309, 57020 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 8, 24896, 4279, 594, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 6, 7630, 14805, 6453, 9, 11098, 6, 657, 6, 8, 10, 25306, 13569, 9862, 149, 63, 16331, 33215, 16739, 9, 12608, 6, 163, 428, 6, 12608, 6, 8, 274, 119, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 51540, 51503, 51109, 51176, 51109, 51062, 51134, 70562, 66040, 51109, 50956, 69558, 51081, 54014, 51176, 66040, 51109, 70585, 51062, 66039, 51503, 51109, 51176, 51109, 51405, 51397, 50462, 51176, 66040, 51109, 70585, 50474, 51176, 66040, 51109, 70585, 51062, 51109, 51540, 51197, 51109, 70585, 51399, 51134, 56759, 51109, 70585, 63775, 50432, 51062, 54014, 50997, 51109, 70585, 63775, 51399, 66039, 51503, 51109, 51176, 51109, 51062, 51397, 50462, 51176, 66040, 51109, 70585, 50474, 51176, 66040, 51109, 70585, 51405, 51109, 51540, 52128, 51101, 50900, 51452, 50420, 51487, 67175, 51339, 51101, 70585, 50965, 69558, 51405, 68535, 51399, 51101, 70585, 71931, 50444, 51062, 54356, 51062, 51101, 51040, 51452, 50456, 51081, 51101, 50462, 50999, 51101, 50871, 51109, 70338, 50468, 51081, 51101, 50474, 51399, 51101, 50871, 51109, 70338, 50480, 51339, 50866, 51540, 51339, 51101, 50956, 51452, 50420, 51405, 67175, 51399, 51101, 63775, 50906, 69558, 51081, 68535, 50951, 51101, 63775, 70338, 50444, 51001, 54356, 71931, 51147, 51397, 50462, 51176, 51109, 51540, 51643, 51381, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 73528, 50432, 52135, 56480, 51643, 76014, 50965, 62697, 68832, 52200, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 51643, 76014, 50965, 73528, 51540, 52226, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51028, 79201, 51643, 56480, 52226, 51199, 65735, 66283, 51028, 68832, 51643, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 52200, 76014, 50965, 73528, 51540, 54061, 51627, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 62697, 59612, 52200, 76014, 50965, 62697, 68832, 52200, 51627, 51085, 51627, 50900, 51627, 50462, 65929, 50965, 73528, 50468, 52226, 51006, 50474, 51643, 76014, 50965, 73528, 51540, 51721, 51243, 65929, 56759, 51199, 65735, 66283, 51001, 59612, 51026, 51199, 65735, 66283, 51001, 68832, 51197, 51627, 50861, 51627, 50906, 51627, 51001, 51627, 50474, 51721, 51199, 51540, 52200, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51001, 59612, 52200, 51199, 65735, 66283, 51001, 68832, 51633, 51627, 51234, 51627, 50997, 51627, 50462, 62440, 75417, 66283, 50902, 51199, 50474, 51993, 51199, 62440, 75417, 66283, 50902, 51199, 51540, 54061, 51627, 51234, 51627, 50997, 51627, 53645, 51199, 75417, 66283, 50902, 59612, 54061, 51199, 62440, 75417, 66283, 50902, 68832, 52372, 51627, 51197, 51627, 50956, 51627, 50462, 65735, 66283, 51001, 51199, 50474, 52372, 51199, 65735, 66283, 51001, 51199, 51540, 51643, 51627, 51503, 51627, 51176, 51627, 62144, 73528, 50931, 59612, 51993, 51199, 50965, 73528, 50931, 68832, 51633, 51517, 50290, 51627, 50997, 51627, 50462, 51643, 51199, 62440, 75417, 50902, 51199, 50474, 51633, 51199, 62440, 75417, 50902, 51199, 51540, 52200, 51243, 51197, 76014, 56759, 51199, 65735, 66283, 51001, 59612, 51026, 51199, 65735, 66283, 51001, 68832, 51197, 51627, 50861, 51627, 50906, 51627, 51001, 51627, 51540, 52200, 51381, 51197, 51627, 50956, 51627, 55902, 51277, 60564, 66013, 51633, 52169, 50317, 70351, 52200, 51199, 50906, 51277, 58365, 57299, 52372, 51627, 51197, 51627, 50956, 51627, 72786, 51277, 50462, 50906, 51277, 50468, 51028, 51277, 50474, 52200, 51199, 50906, 51277, 50480, 50861, 51277, 51540, 52200, 51627, 51503, 51627, 51176, 51627, 58097, 51277, 62144, 66013, 51633, 67220, 70351, 52200, 51199, 50965, 51277, 61614, 57299, 54061, 51627, 51503, 51627, 51176, 51627, 50456, 50956, 51277, 50462, 50965, 51277, 50468, 50876, 51277, 50474, 52200, 51199, 50965, 51277, 50480, 50956, 51006, 51540, 54761, 51627, 52046, 51627, 51197, 51627, 58097, 51277, 54439, 51277, 63931, 70351, 54061, 51199, 50861, 51277, 61614, 57299, 52372, 51517, 50283, 51627, 51197, 51627, 50456, 50956, 51277, 50462, 51993, 51199, 50861, 51277, 50468, 50906, 51277, 50474, 52200, 51199, 50861, 51277, 50480, 50956, 51006, 51540, 52200, 52062, 51503, 51680, 51176, 51680, 58097, 51277, 62144, 51277, 59409, 70351, 50965, 51277, 61614, 57299, 51643, 51627, 51503, 51627, 51176, 51627, 50900, 51627, 50956, 51627, 50965, 51627, 50474, 52185, 51199, 51540, 52185, 51517, 50288, 51627, 51176, 51627, 50426, 51643, 51199, 64528, 65929, 50965, 59612, 52200, 51199, 64528, 65929, 50965, 68832, 54061, 51627, 51503, 51627, 51176, 51627, 50462, 64528, 65929, 75417, 50474, 52372, 51199, 64528, 65929, 75417, 51540, 52372, 51627, 52759, 51627, 51360, 51627, 61104, 51199, 62440, 50906, 59612, 51993, 51199, 51040, 51199, 62440, 66283, 50450, 52226, 51627, 52759, 51627, 51360, 51627, 50462, 51040, 51199, 62440, 66283, 50474, 51721, 51199, 51040, 51199, 62440, 66283, 51540, 52185, 51517, 50283, 51627, 51197, 51627, 50426, 51643, 76014, 50965, 62697, 59612, 51993, 76014, 50965, 62697, 68832, 52200, 51627, 52046, 51680, 51197, 51680, 50956, 51680, 50861, 51680, 50906, 51680, 51028, 51680, 50474, 51652, 51199, 51540, 52185, 51243, 51503, 51109, 51176, 51109, 69980, 51101, 56546, 51101, 51176, 66040, 51109, 50956, 69558, 51001, 68535, 51147, 51101, 51176, 66040, 51109, 70585, 50444, 51062, 54356, 51503, 51109, 51176, 51109, 51405, 51109, 50462, 51176, 66040, 51109, 70585, 52128, 51109, 50474, 51176, 66040, 51109, 70585, 51062, 51109, 51540, 51147, 51109, 51176, 51452, 53523, 51109, 70585, 51062, 51109, 55203, 51109, 70585, 51405, 66039, 52128, 51446, 51176, 51452, 50462, 50900, 51109, 70585, 50474, 50900, 51109, 70585, 51487, 51109, 51540, 51487, 51446, 51360, 51452, 60643, 51109, 50997, 61148, 51050, 51109, 50997, 51109, 51339, 66039, 51399, 51397, 51360, 51452, 50462, 51050, 51109, 50997, 51109, 50474, 51050, 51109, 50997, 51109, 51081, 51109, 51540, 52128, 51101, 51197, 51452, 50420, 51487, 67175, 51339, 51101, 51176, 66040, 69558, 51405, 68535, 51399, 51101, 51176, 66040, 75115, 51062, 54356, 51062, 51101, 51050, 51452, 50456, 51081, 51101, 50462, 50999, 51101, 50997, 51109, 51040, 51109, 50468, 51081, 51101, 50474, 51399, 51101, 50997, 51109, 51040, 51109, 50480, 51339, 50866, 51540, 51339, 51101, 51026, 51452, 50420, 51405, 67175, 51399, 51101, 50997, 51109, 51040, 69558, 51081, 68535, 50951, 51101, 50997, 51109, 51040, 75115, 51001, 54356, 51176, 51109, 51147, 51397, 50462, 51503, 51109, 51540, 51431, 51381, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 73528, 50432, 52298, 56480, 51431, 76014, 50965, 62697, 68832, 51641, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 51431, 76014, 50965, 73528, 51540, 52061, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51028, 79201, 51431, 56480, 52061, 51199, 65735, 66283, 51028, 68832, 51431, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 51641, 76014, 50965, 73528, 51540, 52264, 51627, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 62697, 59612, 51641, 76014, 50965, 62697, 68832, 51641, 51627, 51085, 51627, 50900, 51627, 50462, 65929, 50965, 73528, 50468, 52061, 51006, 50474, 51431, 76014, 50965, 73528, 51540, 51723, 51243, 65929, 56759, 51199, 65735, 66283, 51001, 59612, 51026, 51199, 65735, 66283, 51001, 68832, 51197, 51627, 50861, 51627, 50906, 51627, 51001, 51627, 50474, 51723, 51199, 51540, 51641, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51001, 59612, 51641, 51199, 65735, 66283 ]
[ 0, 250, 15352, 30054, 5175, 8, 3495, 1619, 2214, 14, 7630, 6568, 10, 1372, 8, 33558, 6711, 6, 4246, 10, 11739, 9, 13305, 6, 16867, 6, 769, 196, 6757, 6, 10170, 1499, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 22690, 10, 33215, 16739, 9, 230, 119, 6, 274, 119, 406, 6, 8, 163, 43531, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 60122, 50949, 53321, 53223, 50920, 55893, 52365, 52762, 52365, 54883, 52365, 52667, 52365, 54665, 52365, 53418, 52159, 51253, 51495, 51380, 51061, 51380, 50441, 62545, 53044, 62545, 59418, 55721, 51070, 53003, 62545, 50925, 54322, 51939, 52899, 52069, 50456, 62545, 50837, 52159, 51423, 51495, 51423, 51061, 51423, 70649, 50799, 62545, 58793, 55978, 50864, 52159, 51423, 51495, 51423, 51061, 51423, 51070, 54604, 62545, 58869, 53670, 52159, 51423, 51495, 51423, 51061, 51423, 51070, 55799, 50920, 54292, 55978, 54800, 53239, 62545, 50987, 52159, 51008, 51495, 51328, 51061, 51328, 50920, 54821, 55721, 50920, 53544, 53003, 60252, 50948, 53242, 55002, 50456, 55074, 50808, 51118, 51328, 51341, 51328, 51281, 51328, 50920, 53544, 50908, 50799, 50769, 50340, 54507, 51341, 51328, 51281, 51328, 51092, 51328, 53242, 50932, 76089, 50769, 50320, 53991, 75488, 50769, 50320, 52670, 50769, 50320, 54860, 51341, 50905, 51281, 50987, 51092, 50978, 52939, 51387, 50920, 53518, 50891, 50769, 50320, 56000, 50920, 52600, 52939, 50974, 50920, 50883, 61264, 50907, 50769, 50338, 51128, 54234, 52210, 51341, 50874, 51281, 50874, 51092, 51328, 51691, 51079, 50920, 54821, 50891, 65099, 51126, 50769, 50340, 58068, 51341, 51172, 51281, 51172, 50920, 53622, 53003, 60252, 50820, 53707, 51939, 51691, 51470, 50920, 50834, 71801, 52134, 50769, 50342, 51126, 52447, 52069, 50453, 60108, 52579, 60108, 50820, 51495, 51328, 51061, 51328, 51193, 51328, 50920, 54018, 50908, 78850, 51524, 50769, 50340, 69510, 60108, 52539, 50828, 50799, 60108, 56169, 50818, 50769, 50340, 55650, 60252, 50841, 51495, 51058, 51061, 51058, 51193, 51058, 76089, 50769, 50320, 54316, 60252, 54274, 50891, 50769, 50320, 52639, 60252, 50833, 50769, 50320, 54854, 62545, 50834, 51495, 51058, 51061, 51058, 51193, 51058, 52183, 50974, 75488, 50769, 50320, 53891, 62545, 50844, 52393, 50972, 78850, 51123, 50769, 50347, 57522, 51495, 51058, 51061, 51058, 51193, 51058, 51988, 51166, 75488, 50729, 50350, 50851, 50769, 50345, 55721, 51070, 53003, 62545, 50971, 52947, 51939, 52183, 52256, 71801, 50984, 50769, 50342, 50928, 52191, 52069, 50456, 62545, 50827, 51268, 51058, 51193, 51058, 51385, 51058, 52365, 53419, 50908, 71801, 51319, 50769, 50338, 50928, 50799, 62545, 50851, 52393, 52011, 50769, 50333, 62716, 52365, 53023, 55978, 50878, 51495, 51058, 51268, 51058, 51193, 70906, 53622, 50870, 50769, 50353, 54104, 50920, 52909, 50891, 50769, 50353, 52670, 62545, 51645, 51691, 51466, 50920, 50834, 50769, 50353, 53695, 51495, 50864, 51268, 50864, 51193, 56994, 53622, 50891, 50769, 50353, 55782, 52365, 52621, 52365, 50820, 50769, 50347, 54758, 51495, 50864, 51268, 50864, 51193, 50373, 54502, 53419, 50891, 50769, 50349, 54847, 76089, 50769, 50349, 50829, 50769, 50350, 53057, 54322, 51534, 52159, 51534, 51495, 51423, 51061, 51681, 50300, 50915, 51017, 64986, 50915, 50769, 50354, 52485, 60108, 50825, 68462, 69511, 53094, 51000, 52393, 51126, 51691, 51126, 63901, 50908, 50769, 50356, 56249, 60108, 51464, 50837, 50799, 60108, 50878, 53094, 50912, 52393, 50907, 51691, 51123, 51396, 50932, 51017, 50932, 69427, 50420, 60252, 50820, 51495, 50874, 71375, 51281, 50874, 52393, 50972, 51070, 54604, 60252, 51212, 51070, 52966, 53242, 52347, 50300, 50915, 51017, 64986, 57173, 62545, 50933, 51495, 50874, 71375, 51281, 50874, 51691, 51330, 61099, 50891, 50769, 50354, 54606, 57974, 62545, 51123, 51396, 50915, 51017, 64986, 50915, 50769, 50349, 53524, 55978, 50907, 51495, 50874, 71375, 51281, 50874, 53242, 50838, 75488, 50769, 50345, 54847, 76089, 50769, 50344, 52743, 62545, 50912, 53105, 57598, 51164, 50807, 51396, 50915, 58285, 50769, 50342, 52920, 55074, 51432, 71375, 51281, 50874, 51092, 50874, 61803, 50908, 50769, 50316, 50982, 70019, 50769, 50316, 50908, 59008, 50914, 51396, 50915, 58285, 74637, 51000, 50769, 50342, 77686, 71375, 51281, 50874, 51092, 63172, 50870, 65446, 58362, 75488, 65446, 52976, 51164, 51003, 51396, 50915, 58285, 50729, 50339, 50971, 50769, 50345, 54221, 71375, 51281, 50874, 51092, 50874, 68878, 50891, 60436, 55799, 51471, 60436, 53115, 51164, 51003, 51396, 50915, 58285, 50729, 50341, 51126, 50769, 50340, 54400, 71375, 51281, 50874, 51092, 63172, 50891, 50729, 50353, 51128, 50769, 50345, 54914, 51070, 53003, 51037, 50915, 51017, 64986, 50915, 50729, 50353, 51524, 50769, 50350, 54059, 60108, 50825, 51495, 50874, 71375, 51193, 50874, 60702, 50908, 50769, 50352, 56232, 60108, 51464, 50820, 50799, 60108, 50878, 51037, 50915, 51017, 64986, 50915, 50769, 50350, 54605, 60252, 50820, 51495, 50874, 71375, 51193, 50874, 57813, 52212, 76089, 50769, 50325, 56295, 60252, 51212, 51070, 52966, 51037, 51003, 51017, 50915, 59381, 50769, 50323, 53670, 62545, 50933, 51495, 50874, 71375, 51193, 50874, 59858, 50891, 74637, 51128, 60436, 50928, 51556, 50839, 50769, 50342, 54114, 62545, 51123, 51037, 50915, 51017, 50915, 59381, 50769, 50342, 53858, 55978, 50907, 51495, 50874, 71375, 51193, 50874, 53105, 51697, 75488, 50729, 50329, 51297, 50769, 50345, 54673, 51070, 53003, 62545, 50984, 57813, 52397, 51037, 50915, 50979, 50915, 73061, 50769, 50331, 54616, 51341, 50874, 51268, 50874, 51193, 63172, 50908, 70524, 52134, 50769, 50330, 60078, 50769, 50328, 51004, 55708, 51158, 60609, 51692, 57813, 51939, 58766, 50841, 56286, 54376, 50898, 73940, 51795, 50416, 58766, 50908, 56286, 57226, 58766, 50835, 56286, 61798, 58766, 50863, 56286, 52944, 51017, 62121, 66246, 50821, 58766, 50863, 56286, 51833, 61710, 58766, 50835, 56286, 54316, 58766, 50835, 56286, 50834, 50769, 50319, 69156, 58766, 50971, 56286, 54317, 51228, 51215, 58766, 50837, 56286, 53617, 67942, 50769, 50319, 64640, 58766, 50863, 56286, 54974, 58766, 50891, 56286, 61193, 58766, 50941, 56286, 53998, 51017, 62121, 73887, 50858, 58766, 52771, 50839, 50729, 50357, 51004, 50769, 50319, 56565, 58766, 54950, 58766, 50891, 50729, 50355, 70227, 58766, 55108, 51228, 50840, 58766, 55259, 67942, 50729, 50353, 51004, 50439, 58766, 65246, 51228, 50836, 58766, 65454, 58766, 53858, 51096, 79606, 73627, 50880, 50992, 50821, 58766, 51126, 52093, 50729, 50350, 51851, 50769, 50319, 56453, 58766, 54673, 58766, 50908, 50769, 50319, 58078, 58766, 53430, 51228, 51158, 75798, 51003, 53105, 51108, 58766, 51258, 59020, 54376, 50898, 59528, 58766, 51297, 59020, 57186, 58766, 51129, 59020, 51437, 60233, 58766, 51004, 59020, 53553, 51017, 62121, 73887, 50858, 58766, 51319, 59020, 51128, 52105, 50769, 50319, 62309, 58766, 50908, 59020, 55397, 51096, 50857, 52354, 50924, 75314, 51675, 53242, 51748, 58766, 50829, 57658, 54169, 50898, 73940, 51285, 50416, 58766, 50908, 57658, 57226, 58766, 50870, 57658, 62238, 58766, 50863, 57658, 52944, 50885, 63553, 50921, 50992, 50921, 58766, 50863, 57658, 51833, 50895, 50769, 50319, 57240, 58766, 50835, 57658, 54316, 58766, 50835, 57658, 50834, 50769, 50319, 60463, 58766, 50971, 57658, 54317, 66856, 58766, 50837, 57658, 72344, 64640, 58766, 50863, 57658, 54974, 58766, 50891, 57658, 61193, 58766, 55286, 50885, 50940, 50872, 50940, 50992, 50921, 58766, 52771, 50839, 50729, 50357, 51004, 50769, 50319, 56565, 58766, 54950, 50945, 50857, 58766, 50891, 50729, 50355, 70227, 58766, 50971, 53357, 51111, 58766, 78512, 63893, 50923, 50729, 50353, 51004, 50439, 58766, 65246, 58766, 50908 ]
[ 0, 250, 30389, 28668, 19834, 19, 3495, 16882, 6, 42, 2214, 7630, 6568, 10, 2365, 8, 1619, 16464, 4, 20, 13305, 8, 21979, 8669, 483, 5, 33301, 6, 2800, 30, 5, 21979, 9590, 6, 20535, 2810, 6, 8, 21072, 4, 8504, 11, 211, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 13931, 9, 211, 406, 6, 272, 119, 6, 211, 119, 6, 8, 381, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50903, 66625, 55710, 51269, 57417, 50984, 51768, 50874, 52029, 51369, 55710, 53513, 51170, 55710, 50833, 51570, 71852, 55710, 54653, 51236, 71234, 57831, 52741, 52029, 51369, 55710, 56838, 51170, 71234, 57831, 50808, 60859, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50903, 66625, 55710, 51269, 57417, 50984, 51768, 50874, 52029, 51369, 55710, 53513, 51170, 55710, 50833, 51570, 71852, 55710, 54653, 51236, 71234, 57831, 52741, 52029, 51369, 55710, 56838, 51170, 71234, 57831, 50808, 53458, 53177, 50306, 51534, 50902, 51363, 51209, 51066, 51207, 51490, 50960, 53280, 50929, 51961, 51067, 51637, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50903, 66625, 55710, 51269, 57417, 55070, 52078, 50910, 63503, 50951, 51644, 50326, 50905, 51209, 60894, 50874, 52029, 51369, 55710, 53513, 51389, 51936, 50302, 63422, 50892, 51209, 51795, 68354, 68827, 51067, 51079, 51170, 55710, 53415, 51150, 51362, 50956, 51542, 51001, 51295, 51405, 51221, 51725, 51703, 51131, 53674, 51136, 51381, 50929, 52519, 52352, 51372, 55710, 54653, 51236, 71234, 57831, 52741, 50877, 51911, 50325, 50845, 52029, 51369, 55710, 56838, 52078, 63837, 75934, 50892, 51131, 51432, 51136, 50838, 50929, 51166, 51170, 71234, 57831, 50808, 66269, 73988, 51455, 50342, 50892, 51207, 51244, 50903, 50874, 52352, 51372, 50844, 53321, 51252, 55902, 52169, 50335, 51058, 50960, 55584, 50929, 51337, 51067, 51309, 50903, 66625, 55710, 51252, 57417, 58782, 51389, 51116, 50906, 53130, 50338, 51006, 50903, 50874, 52029, 51369, 55710, 53513, 51098, 51294, 68622, 51487, 51212, 50960, 54298, 50929, 51481, 51067, 51753, 51170, 55710, 53415, 51209, 50976, 52352, 51372, 55710, 73241, 51444, 51703, 66626, 51484, 75099, 50861, 51411, 51081, 51242, 50960, 58483, 50929, 53161, 51067, 51797, 51236, 55710, 53668, 51229, 58317, 51098, 50879, 52029, 51369, 55710, 56838, 51389, 55143, 51455, 50335, 50892, 51408, 50860, 50960, 51387, 60384, 51067, 51387, 51170, 71234, 57831, 50808, 53788, 53177, 50292, 51749, 51390, 51029, 51725, 51244, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50951, 51337, 51487, 51043, 50986, 55584, 51136, 51337, 51064, 51309, 50903, 66625, 55710, 51269, 57417, 55070, 53691, 50910, 50903, 50874, 52029, 51369, 55710, 53513, 52078, 51936, 50302, 50845, 50986, 51697, 65904, 51064, 51079, 51170, 55710, 60462, 51963, 51058, 51906, 51254, 57385, 51362, 51085, 51749, 50876, 51419, 51062, 51542, 51334, 51184, 51725, 51703, 50986, 53674, 50929, 51381, 51032, 52519, 52352, 51372, 55710, 54653, 51236, 55710, 52741, 52029, 51369, 55710, 50984, 50455, 51683, 51328, 52099, 51884, 50456, 52078, 72502, 60778, 51644, 50331, 50892, 78243, 60384, 51032, 51166, 51170, 71234, 57831, 50808, 53788, 51294, 51085, 51535, 51725, 53486, 50986, 53674, 50929, 51381, 51032, 52519, 50903, 50874, 52352, 51372, 50844, 53321, 63478, 51062, 51337, 52357, 51363, 50903, 66625, 55710, 51252, 57417, 51252, 51768, 50874, 52029, 51369, 55710, 53513, 51150, 51091, 50900, 51310, 52099, 52783, 50986, 53674, 50929, 51381, 51032, 52519, 51170, 71234, 57831, 60462, 52970, 54829, 51963, 51803, 50438, 50951, 51328, 51487, 51233, 54432, 51703, 52352, 51372, 55710, 54653, 51236, 71234, 57831, 52741, 51150, 51112, 50956, 66985, 52019, 50331, 50915, 50986, 51466, 50929, 51466, 51032, 52025, 52029, 51369, 55710, 56838, 51170, 55710, 50808, 53788, 53177, 50292, 51337, 51062, 51775, 51334, 50976, 51725, 51703, 50986, 53674, 50929, 51381, 51032, 52519, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 51269, 53502, 72338, 51058, 50903, 66625, 55710, 66495, 51334, 50976, 50920, 55070, 53691, 50910, 50956, 78393, 51006, 50903, 50874, 52029, 51369, 55710, 53513, 52078, 63837, 50854, 51062, 50805, 51334, 50860, 78243, 60384, 51032, 51166, 51170, 55710, 53415, 51668, 51362, 51086, 74908, 50987, 51390, 50976, 53092, 51244, 52352, 51372, 55710, 54653, 51324, 71227, 51058, 51311, 55584, 50960, 51337, 51169, 51309, 51236, 71234, 57831, 53668, 51390, 58317, 51176, 53130, 50324, 51006, 52029, 51369, 55710, 56838, 51793, 63461, 51455, 50330, 50892, 51390, 50860, 51311, 51697, 64484, 51169, 51079, 51170, 55710, 50808, 53788, 51362, 51001, 51233, 51405, 51423, 52031, 50976, 51725, 51244, 50903, 50874, 52352, 51372, 50844, 53321, 51252, 58097, 51753, 50986, 55584, 51136, 51337, 51032, 51309, 50903, 66625, 55710, 63285, 52031, 50976, 50920, 51252, 54439, 51328, 50951, 50905, 50903, 50874, 52029, 51369, 55710, 53513, 52078, 50893, 52031, 50860, 50986, 51697, 65904, 51032, 51079, 51170, 55710, 60462, 51001, 52415, 50331, 60592, 51273, 53177, 50301, 64510, 50987, 53076, 50976, 51444, 51080, 52352, 51372, 55710, 54653, 51120, 69715, 51058, 51236, 71234, 57831, 53668, 52004, 58317, 51389, 50910, 51378, 53130, 50322, 51006, 51131, 52397, 50986, 51333, 51078, 51333, 52029, 51369, 55710, 56838, 51216, 72502, 67996, 50892, 52700, 71921, 55710, 50808, 53458, 53177, 50299, 51749, 51390, 52737, 51207, 51490, 50960, 53280, 50929, 51961, 51067, 51637, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 51081, 51337, 52052, 51043, 50903, 66625, 55710, 51269, 57417, 55070, 52078, 50910, 50903, 50874, 52029, 51369, 55710, 68313, 51906, 51328, 51648, 51884, 50432, 51389, 51936, 50302, 50845, 68354, 68827, 51067, 51079, 51170, 55710, 53415, 51273, 51362, 51120, 51749, 53152, 51080, 51913, 51447, 51444, 51080, 52352, 51372, 55710, 54653, 50902, 51337, 51146, 51043, 51236, 71234, 57831, 52741, 51131, 52397, 50986, 51333, 51078, 51333, 52029, 51369, 55710, 56838, 51216, 51936, 50298, 50845, 51170, 55710, 50808, 53458, 51343, 51026, 51535, 51207, 52980, 50960, 53280, 50929, 51961, 51067, 51637, 50903, 50874, 52352, 51372, 50844, 53321, 63478, 51081, 51337, 52052, 51363, 50903, 66625, 55710, 51252, 57417, 51252, 51768, 50874, 52029, 51369, 55710, 68313, 51906, 52015, 51648, 52980, 50432, 51389, 51141, 50997, 51310, 50960, 52011, 50929, 51108, 51067, 51330, 51170, 55710, 53415, 50951, 51328, 51487, 51233, 51444, 51490, 52352, 51372, 55710, 54653, 51236, 71234, 57831, 52741, 51098, 62525, 60473, 52019, 50330, 50915, 50960, 52397, 50929, 51097, 51067, 51466, 52029, 51369, 55710, 56838, 51170, 71234, 57831, 50808, 53458, 53177, 50299, 51337, 51220, 51775, 52004, 52737, 51207, 51490, 50960, 53280, 50970, 51961, 51076, 51637, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 51086, 71508, 51058, 50903, 66625, 55710, 51269, 57417, 55070, 52078, 50910, 50899, 69715, 51006, 50903, 50874, 52029, 51369, 55710, 53513, 51389, 59408, 50854, 51220, 50805, 68354, 66980, 51076, 51079, 51170, 55710, 53415, 51273, 53177, 50309, 51233, 50931, 51423, 51444, 51080, 52352, 51372, 55710, 54653, 51027, 51753, 50877, 51074, 51236, 55710, 52741, 51389, 50910, 50900, 51328, 50876, 50905, 51131, 52397, 50986, 51333, 50970, 51333, 52029, 51369, 55710, 56838, 51216, 80037, 55710, 63848, 50871, 76376, 50977, 59000, 53177, 50309, 51542, 50931, 51295, 51339, 51221, 51311, 51490, 50960, 53280, 50970, 51961, 51076, 51637, 50903, 50874, 52352, 51372, 50844, 53321, 63478, 50903, 66625, 55710, 51252, 57417, 58782, 55781, 50910, 50973, 51911, 50327, 66551, 50874, 52029, 51369, 55710, 53513, 51389, 68550, 51853, 50330, 50892, 68354 ]
[ 0, 250, 15352, 30054, 3495, 2214, 702, 9382, 15, 13305, 6, 7630, 14805, 10, 1472, 9, 657, 8, 26545, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 112, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 1614, 1073, 1020, 2877, 4, 20, 46336, 3184, 29769, 198, 5, 1918, 8, 381, 40286, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50623, 50424, 51176, 51297, 68866, 55086, 51027, 55086, 50448, 51176, 51297, 68866, 55086, 51027, 55086, 50448, 51176, 51297, 51034, 75643, 51120, 55086, 51027, 55086, 75536, 54964, 50968, 56237, 50951, 54504, 50931, 57524, 50902, 55659, 50968, 59837, 51028, 51074, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 50877, 51244, 51028, 51148, 50968, 51145, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 50877, 51244, 51028, 51148, 50968, 51145, 50448, 51176, 51297, 51034, 75643, 51120, 55086, 51027, 55086, 79578, 54964, 50951, 56237, 51081, 54504, 50999, 57524, 50902, 55659, 50968, 59837, 50931, 51074, 51034, 51028, 78912, 71562, 55036, 50294, 55086, 51027, 55086, 67855, 52928, 50899, 51244, 71578, 72734, 58540, 78912, 71562, 55036, 50294, 55086, 51027, 55086, 67855, 52928, 50899, 51244, 71578, 72734, 50460, 51120, 71206, 51027, 50971, 71543, 53420, 51027, 52872, 50899, 53575, 50916, 52904, 50871, 53594, 50899, 50870, 56310, 50834, 51120, 55086, 50418, 50623, 54569, 54604, 50622, 61104, 70573, 50622, 50432, 50621, 50916, 60591, 50621, 63809, 51333, 50441, 50621, 50446, 50620, 50450, 50619, 50460, 51176, 51297, 51034, 50623, 75643, 51120, 55086, 51027, 55086, 75536, 54964, 50968, 56237, 50951, 54504, 50931, 57524, 50902, 55659, 50968, 59837, 51028, 51074, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 51028, 51148, 50968, 51145, 50877, 51939, 50448, 51120, 51269, 50449, 51027, 51297, 71543, 50870, 50902, 51333, 56945, 52872, 50899, 53031, 50916, 52742, 50871, 52986, 50899, 50834, 56310, 50834, 51120, 51592, 50418, 50623, 54569, 54316, 50622, 61104, 64640, 50622, 50432, 50621, 50916, 59051, 50621, 63809, 51333, 50441, 50621, 50446, 50620, 50450, 50619, 50460, 51176, 51297, 51034, 50623, 75643, 51120, 55086, 51027, 55086, 75536, 54964, 50968, 56237, 50951, 54504, 50931, 57524, 50902, 55659, 50968, 59837, 51028, 51074, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 50877, 51244, 51028, 51148, 50968, 51145, 50448, 51120, 51269, 50449, 51027, 51297, 71543, 77112, 52845, 50318, 51333, 57340, 52872, 50861, 53575, 50871, 52904, 50916, 50870, 51040, 52397, 69375, 50870, 71543, 52034, 51120, 55086, 51027, 55086, 50418, 50623, 50423, 50622, 50871, 54504, 50916, 50870, 51040, 52440, 50428, 50622, 50432, 50621, 51027, 60591, 50621, 59419, 56432, 50621, 50446, 50620, 50448, 51120, 51490, 50449, 51027, 51490, 51034, 50623, 75643, 50899, 52440, 79578, 54964, 50951, 56237, 51081, 54504, 50999, 57524, 50902, 55659, 50968, 59837, 50931, 51074, 50448, 51120, 54228, 50449, 51027, 52397, 51034, 51028, 78912, 55036, 50311, 52397, 67855, 52928, 50899, 51244, 50871, 51080, 72734, 71543, 50870, 51120, 55086, 51027, 55086, 57340, 52872, 50861, 53575, 50871, 52904, 50916, 50870, 51040, 52397, 69375, 50870, 71543, 52034, 51120, 55086, 51027, 55086, 50418, 50622, 50423, 50622, 50871, 54504, 50916, 50870, 51040, 52440, 50428, 50621, 50432, 50621, 51027, 60591, 50620, 59419, 51333, 50441, 50620, 50446, 50619, 50448, 51120, 52598, 50449, 51027, 52136, 51034, 50623, 75643, 50899, 55002, 79578, 54964, 50951, 56237, 51081, 54504, 50999, 57524, 50871, 70358, 55659, 50916, 72713, 51074, 55989, 74056, 51074, 51034, 51028, 78912, 55036, 50311, 55036, 50294, 55086, 51027, 55086, 67855, 52928, 50899, 51244, 50871, 51080, 72734, 50448, 51120, 56329, 50449, 51027, 56329, 71543, 61543, 50622, 56440, 54604, 50622, 53645, 70573, 50621, 50432, 50621, 50861, 60591, 50620, 60496, 56432, 50620, 58365, 59265, 50619, 50448, 51120, 52528, 50449, 51027, 52256, 50799, 50619, 50871, 53420, 50916, 52872, 50899, 53575, 51027, 55659, 50899, 51333, 50460, 51176, 51297, 51034, 50623, 75643, 51120, 55086, 51027, 55086, 50417, 51081, 54964, 50999, 56237, 51399, 54504, 51146, 57524, 51081, 55659, 50999, 52034, 50447, 71985, 50448, 51176, 51297, 51034, 50877, 52034, 50931, 52034, 51120, 55086, 51027, 55086, 50423, 64444, 77936, 53645, 70358, 57524, 50916, 65351, 55659, 50871, 52845, 50318, 51333, 51034, 51028, 52216, 50302, 55036, 50308, 55036, 50311, 55036, 50294, 55086, 67855, 52928, 51027, 52440, 50899, 52440, 50871, 52440, 50877, 51490, 51034, 51028, 52216, 50302, 55036, 50308, 55036, 50311, 55036, 50294, 55086, 50418, 50623, 67855, 54316, 50622, 57025, 52440, 50899, 52440, 50871, 52440, 50877, 51490, 50428, 50622, 50432, 50621, 50436, 50621, 50441, 50621, 50446, 50620, 51034, 50619, 51028, 52216, 50294, 55036, 50302, 55036, 50308, 55036, 50311, 52397, 67855, 52928, 50906, 51748, 51018, 50438, 51040, 51333, 51540, 50626, 50474, 50877, 50870, 50999, 50870, 51540, 50877, 52386, 50325, 55108, 50877, 50870, 50999, 53003, 50877, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51540, 51120, 50982, 50877, 52386, 50325, 64179, 51378, 51297, 57025, 70227, 51027, 51297, 55898, 50982, 50877, 50870, 50999, 60852, 50899, 60258, 50989, 59903, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51540, 51120, 50982, 50877, 52386, 50325, 64179, 51378, 51297, 57025, 70227, 51027, 51297, 55898, 50982, 50877, 50870, 50999, 60852, 50899, 60258, 50989, 59903, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51540, 51360, 50982, 50906, 52386, 50326, 64179, 51378, 51297, 56759, 70227, 50997, 51297, 59419, 50982, 50906, 50870, 51081, 60852, 50916, 60258, 50989, 62378, 52386, 50326, 50971, 50474, 50906, 50825, 51081, 50825, 51540, 59924, 50973, 78163, 59329, 50626, 50424, 51378, 53272, 51086, 53031, 50625, 50436, 51086, 53945, 50899, 74782, 50834, 51220, 60067, 50625, 50450, 50624, 51279, 73357, 51537, 50329, 61996, 50624, 50460, 51027, 50864, 50462, 50916, 50825, 50468, 50623, 50902, 50834, 51146, 50834, 50472, 51040, 50864, 50474, 50861, 50825, 50968, 50825, 51430, 50825, 50478, 50623, 51540, 50626, 51120, 72680, 51145, 51146, 51145, 50424, 51378, 53272, 51027, 59051, 51027, 53945, 50899, 61541, 50870, 50999, 60852, 50899, 53996, 50989, 62391, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51114, 50981, 51540, 51120, 61541, 52386, 50325, 52386, 50322, 53753, 50424, 51378, 53272, 51027, 59051, 51027, 53945, 50899, 61541, 50870, 50999, 60852, 50899, 53996, 50989, 62391, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 50902, 50981, 51540, 51120, 71695, 68917, 51145, 50424, 51378, 53272, 51027, 59051, 51027, 53945, 50899, 71695, 77112, 50981, 50447, 50973, 71765, 50899, 53996, 50989, 66256, 68917, 50981, 50462, 50965, 50981, 50474, 50999, 77112, 50981, 51540, 51360, 71695, 52386, 50315, 51677, 50424, 51026, 53272, 51027, 59051, 51027, 53945, 50916, 61541, 50870, 50999, 60145, 50916, 53996, 50999, 68917, 51145, 50451, 50861, 50855, 50474, 50877, 50870, 50999, 50870, 51540, 51360, 74782, 51490, 51220, 51490, 50424, 51026, 53272, 51027, 59051, 51027, 53945, 50916, 61541, 52845, 50325, 51333, 50449, 50916, 53996, 50877, 51490, 50999, 51490, 50451, 50861, 50855, 50474, 50906, 51741, 50326, 51333, 50475, 51378, 51172, 51040, 51172, 50916, 51172, 51540, 59924, 51220, 52386, 50315, 53753, 50424, 51378, 53272, 51086, 59051, 51086, 53945, 50899, 74782, 50870, 51220, 60852, 50899, 53996, 50989, 67046, 52386, 50327, 50971, 50474, 51399, 50870, 51028 ]
[ 0, 250, 32076, 8, 15352, 30054, 5175, 3495, 2214, 11, 272, 538, 6, 4246, 10, 13305, 6, 24896, 6, 21072, 6, 21979, 9590, 6, 8, 1893, 43639, 4, 590, 10, 20889, 9, 9680, 13410, 228, 2289, 6, 24, 11498, 41, 12447, 1001, 2877, 1328, 63, 765, 13428, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 24536, 10, 33215, 16739, 9, 230, 6, 272, 6, 8, 211, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50799, 53862, 57253, 56179, 55823, 50859, 50968, 66087, 61679, 59573, 54515, 51215, 50951, 73577, 55823, 60867, 61679, 65544, 55122, 54163, 51215, 51086, 57743, 60358, 51215, 50447, 53862, 73624, 54721, 54163, 79541, 57743, 60358, 55416, 55823, 60867, 61679, 65544, 50879, 51540, 54515, 52392, 50951, 52392, 53523, 51159, 50916, 51159, 55203, 51159, 50916, 51159, 50462, 56101, 65815, 51159, 50916, 51159, 50999, 51073, 50474, 54515, 51294, 51026, 51159, 50900, 51159, 50916, 51159, 50951, 51294, 70814, 54157, 76028, 57316, 55823, 77468, 51159, 50900, 51159, 50916, 51159, 50968, 69052, 54163, 51294, 51026, 51159, 51086, 70651, 51159, 50902, 51294, 50456, 55823, 51710, 50320, 50924, 50462, 54163, 77468, 51159, 51086, 70651, 51159, 50902, 51073, 50474, 53862, 65815, 51159, 50916, 78040, 51073, 51474, 50432, 55823, 56535, 54515, 54773, 54922, 51073, 51085, 51159, 50900, 51159, 50968, 51073, 50951, 51073, 51062, 51073, 50474, 53771, 51588, 50292, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 50480, 53863, 51241, 51540, 64612, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 53077, 51241, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 64589, 51406, 53083, 52261, 50456, 53250, 50937, 50462, 53077, 51056, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51945, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 51406, 53083, 52261, 50462, 54985, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 65091, 50841, 50474, 53863, 51241, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 52261, 50420, 53407, 57817, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 53771, 51241, 51279, 51312, 51027, 51312, 50899, 78979, 51056, 65943, 51216, 51056, 64589, 51406, 53083, 52261, 50456, 53077, 50937, 50462, 53250, 51056, 51279, 51312, 51027, 51312, 50899, 78979, 51056, 65943, 51216, 51056, 65091, 50841, 50474, 53077, 51359, 51214, 51312, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 72229, 51540, 64612, 51214, 51312, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 54726, 53116, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 64589, 51406, 53083, 52261, 50462, 53077, 51056, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51241, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 52667, 53771, 58020, 53077, 51241, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 64589, 51406, 53083, 52261, 50456, 53250, 50937, 50462, 53077, 51056, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51417, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 50623, 54985, 51675, 51247, 51742, 51050, 51742, 50871, 51675, 50877, 51675, 50876, 51675, 51140, 51675, 64589, 60368, 50841, 50462, 50804, 50841, 50465, 50804, 50841, 50468, 51326, 50841, 50471, 51326, 50841, 50474, 50634, 53863, 51241, 51214, 51312, 51026, 51312, 50916, 61317, 65943, 73964, 72229, 51540, 52261, 50420, 53407, 57817, 53771, 51056, 51214, 51312, 51026, 51312, 50916, 61317, 65943, 73964, 64589, 54726, 53116, 53077, 51056, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 64589, 51406, 53083, 50630, 53771, 51241, 52261, 50462, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 65091, 50841, 50468, 53077, 50937, 50474, 53250, 51359, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 51085, 51448, 50900, 51448, 50916, 73327, 51417, 50876, 51417, 51150, 51417, 64589, 51406, 52881, 52060, 50841, 50462, 50634, 53250, 51056, 51553, 50841, 50468, 51326, 50841, 50474, 53250, 51588, 50285, 51448, 51050, 51448, 51140, 51417, 72229, 50480, 53407, 51241, 51540, 50871, 51056, 66148, 50876, 79034, 52870, 53407, 64475, 66148, 50876, 55067, 54726, 53116, 54985, 51241, 51247, 51448, 51050, 51448, 51140, 51417, 54933, 53083, 50871, 51056, 66148, 50876, 79034, 52881, 53863, 50937, 50462, 53407, 64475, 66148, 50876, 55067, 54726, 50841, 50474, 54985, 51056, 51085, 51448, 50900, 51448, 51150, 51417, 72229, 51540, 53863, 51945, 50916, 61317, 50876, 79034, 52870, 50916, 61317, 50876, 55067, 54726, 53116, 51085, 51448, 50900, 51448, 51150, 51417, 54933, 53083, 50916, 61317, 50876, 75065, 50462, 53863, 74669, 61317, 50876, 55067, 54726, 50841, 50474, 53771, 51241, 51085, 51448, 50900, 51448, 51150, 51417, 72229, 51540, 50916, 61317, 50876, 79034, 53223, 53077, 57817, 53250, 74669, 61317, 50876, 55067, 54726, 53116, 53863, 51241, 51085, 51448, 50900, 51448, 51150, 51417, 54933, 53083, 50916, 61317, 50876, 79034, 52881, 53407, 50937, 50462, 53771, 74669, 61317, 50876, 55067, 54726, 50841, 50474, 53077, 51945, 51214, 51448, 51026, 51448, 51098, 51417, 72229, 51540, 50899, 61317, 50973, 79034, 52870, 50899, 61317, 50973, 55067, 54726, 53116, 51214, 51312, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 51406, 53083, 53250, 77304, 51326, 50841, 50462, 53077, 51056, 51326, 50841, 50468, 51326, 50841, 50474, 53771, 51588, 50292, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 50480, 53863, 51241, 51540, 64612, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 53077, 51241, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 64589, 51406, 53083, 52261, 50456, 53250, 50937, 50462, 53077, 51056, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51945, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 51406, 53083, 52261, 50462, 53771, 51056, 51360, 51312, 51040, 51312, 50916, 61317, 64384, 51868, 51056, 65091, 50841, 50474, 53077, 51056, 51120, 51312, 50899, 51312, 50861, 51056, 50973, 51056, 51389, 51056, 72229, 51540, 53863, 51241, 64612, 51120, 51312, 50899, 51312, 50861, 51056, 50973, 51056, 51389, 51056, 64589, 54726, 52667, 53077, 58020, 53077, 51588, 50282, 51312, 51120, 51312, 50899, 78979, 51056, 66148, 65943, 51273, 51056, 64589, 51406, 53041, 53250, 73324, 52261, 50462, 54812, 51056, 51799, 51312, 51120, 51312, 50899, 78979, 51056, 66148, 65943, 51273, 51056, 65091, 50841, 50474, 55062, 51518, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 60368, 50841, 51474, 56947, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 54726, 53116, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 54933 ]
[ 0, 713, 14899, 3495, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 657, 149, 63, 15352, 30054, 15229, 4, 25837, 2987, 30, 41, 20425, 11739, 9, 21072, 6, 21979, 8669, 6, 3152, 6757, 6, 8, 3459, 9590, 6, 24, 11498, 10, 5204, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 16331, 33215, 16739, 9, 211, 6, 272, 6, 8, 83, 4620, 5, 46336, 24456, 6, 2351, 10, 2950, 8, 32076, 5466, 14, 18, 1969, 13, 5, 1619, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50438, 51270, 52743, 51270, 50825, 54458, 54967, 57056, 72258, 54652, 51878, 57969, 50905, 50416, 53160, 70506, 58598, 50971, 51762, 50421, 50935, 68744, 50841, 55017, 54317, 50935, 51095, 55017, 51267, 58598, 51221, 58413, 59485, 51007, 51124, 51065, 52417, 50953, 51049, 58855, 53165, 60934, 51332, 51295, 51133, 51294, 54967, 61110, 55209, 54758, 50909, 50812, 53455, 54438, 51437, 56038, 55209, 51177, 53455, 72807, 53886, 51149, 51215, 51439, 51238, 58413, 59163, 56170, 51365, 50456, 51133, 53690, 51437, 57962, 52364, 51314, 58282, 51562, 51271, 51016, 55017, 59622, 53983, 51437, 63244, 55017, 53728, 51007, 50855, 51762, 50425, 52949, 51377, 57804, 51116, 51065, 52524, 51840, 51060, 51649, 51110, 58413, 60759, 55017, 52767, 51271, 50940, 52112, 50437, 51332, 51115, 51133, 51013, 53165, 51108, 51065, 50862, 51450, 51437, 53239, 50909, 50901, 56170, 55136, 51437, 56038, 54907, 51079, 55209, 51159, 53455, 55441, 51149, 51110, 51439, 51095, 51415, 51227, 51065, 53825, 51239, 59163, 55348, 69096, 50909, 53630, 51437, 57962, 50953, 51204, 54652, 51148, 74491, 51562, 51065, 52784, 51437, 53576, 50935, 56705, 50857, 51762, 50421, 51007, 52762, 50935, 51095, 51007, 50991, 51125, 50855, 55017, 51203, 58598, 51100, 58413, 55949, 54334, 65343, 57969, 50864, 52112, 50433, 50847, 53018, 51332, 51047, 51133, 51204, 53165, 51490, 51065, 53351, 51437, 53239, 50909, 53197, 51437, 57460, 56170, 53421, 51149, 51116, 51439, 50991, 55209, 51100, 53455, 51178, 51065, 53228, 51239, 53173, 51133, 50859, 56170, 53970, 51437, 50846, 58282, 51183, 51271, 51294, 52364, 51878, 51065, 53852, 51437, 53576, 73188, 51762, 50421, 55017, 52917, 51840, 51060, 51007, 50863, 51649, 51100, 57804, 51178, 52949, 51194, 55981, 56450, 51239, 59485, 52238, 52767, 51007, 50867, 51271, 50948, 55017, 50874, 51782, 52418, 71150, 53165, 65461, 51133, 51048, 54967, 57014, 51332, 51310, 50444, 50909, 51100, 56170, 54438, 51437, 79805, 61925, 51415, 51227, 55209, 51177, 53455, 65504, 51149, 51095, 51439, 51215, 54907, 55742, 51239, 65163, 56353, 55348, 50933, 51326, 58464, 56170, 53581, 77655, 53822, 50905, 51326, 54739, 51437, 57962, 50953, 51091, 54652, 51314, 74491, 51295, 54967, 53576, 57969, 50971, 51762, 50425, 58598, 51101, 55017, 51255, 50426, 72863, 51007, 51124, 51065, 53404, 51239, 59485, 51125, 52818, 50847, 50857, 70431, 57969, 52348, 58855, 51332, 51562, 53165, 51314, 67465, 51091, 54967, 53239, 66664, 54967, 56038, 55209, 51101, 53455, 77393, 51149, 50938, 51439, 50924, 51065, 55071, 51239, 59163, 56170, 54622, 59178, 51149, 51128, 51439, 51123, 51133, 53071, 51437, 50846, 58282, 51562, 51271, 51204, 52364, 51314, 51065, 53983, 51437, 62456, 52639, 51840, 51177, 73509, 57804, 51194, 52949, 64738, 54087, 51239, 60759, 55017, 65252, 51007, 50941, 52112, 50433, 51133, 52444, 51332, 51310, 73438, 53165, 51330, 54967, 50846, 52129, 51437, 57460, 50909, 69262, 56170, 52846, 51149, 51121, 51439, 51100, 51415, 51112, 54907, 50904, 55209, 51025, 53455, 51255, 58413, 56694, 58345, 55348, 78877, 56170, 59593, 50909, 50840, 53822, 51058, 54967, 57962, 50953, 51013, 54652, 51447, 74491, 51115, 54967, 53576, 50935, 51559, 57404, 50847, 79371, 52928, 50935, 51110, 51007, 51221, 58598, 50892, 55017, 51233, 51065, 51008, 58413, 60759, 68239, 57969, 53860, 50847, 51589, 58855, 51133, 64740, 51332, 51562, 53165, 51080, 54967, 53239, 60428, 56170, 60984, 51437, 52725, 51439, 50991, 51149, 51110, 50909, 50825, 55209, 51101, 53455, 51177, 51065, 51753, 58413, 59163, 56170, 54622, 79381, 51133, 51730, 51437, 50846, 58282, 51562, 51271, 51204, 52364, 51314, 54967, 53576, 67422, 51762, 50425, 51065, 52059, 50426, 51840, 51060, 51649, 51178, 52238, 50829, 57804, 50892, 52949, 51337, 55981, 59500, 51239, 52975, 51007, 50854, 51271, 50830, 55017, 50874, 52112, 50436, 51065, 70816, 51332, 51295, 51133, 51013, 53165, 51333, 54967, 60547, 51065, 60466, 50909, 51101, 54967, 56038, 54907, 54060, 55209, 51400, 53455, 79308, 51439, 51095, 51149, 51111, 51415, 51048, 51065, 54494, 51239, 57150, 55348, 65126, 56170, 64360, 53822, 57092, 50909, 53632, 51437, 50846, 74491, 51189, 50953, 51204, 54652, 51314, 54967, 62456, 57074, 55017, 65785, 72743, 51007, 51221, 58598, 50978, 51065, 56758, 51239, 60759, 57969, 52818, 56894, 50953, 51420, 58855, 53165, 67608, 51332, 51295, 51133, 51091, 54967, 53239, 50909, 50901, 54967, 52725, 51149, 51124, 51439, 50991, 55209, 50905, 53455, 51212, 58413, 59163, 56170, 55293, 50909, 50813, 51133, 51730, 51437, 50846, 58282, 51562, 51271, 51091, 52364, 52147, 51065, 54438, 51437, 63244, 51065, 60740, 52639, 51840, 51121, 51649, 51194, 51007, 50829, 52238, 50835, 57804, 51242, 52949, 51212, 55981, 59500, 51239, 60759, 55017, 55100, 51007, 50867, 51271, 50921, 52112, 50437, 51332, 51535, 67465, 51016, 53165, 51466, 54967, 53239, 50909, 50974, 54967, 52725, 51149, 51393, 50323, 51121, 51415, 51157, 54907, 50941, 55209, 50845, 53455, 56649, 51239, 63317, 55348, 79181, 53822, 50838, 56170, 55162, 50909, 51747, 51437, 50846, 52563, 50884, 54652, 56240, 51437, 57056, 72258, 54652, 51878, 57969, 50905, 50416, 53160, 70506, 58598, 50971, 51762, 50421, 50935, 68744, 50841, 55017, 54317, 50935, 51095, 55017, 51267, 58598, 51221, 58413, 59485, 51007, 65903, 50953, 51049, 58855, 53165, 60934, 51332, 51295, 51133, 51294, 54967, 61110, 55209, 54758, 50909, 50812, 53455, 54438, 51437, 56038, 55209, 51177, 53455, 55441, 51149, 51215, 51439, 51238, 58413, 56694, 59842, 56170, 51365, 50456, 51133, 53690, 51437, 57962, 52364, 51314, 58282, 51562, 51271, 51016, 55017, 56630, 51437, 63244, 55017, 53728, 51007, 50379, 53823, 51187, 64676, 60341, 52949, 51377, 57804, 69745, 51840, 51060, 51649, 51110, 58413, 60759, 55017, 52767, 51271, 50940, 51224, 76494, 51437, 58855, 51332, 51115, 51133, 51013, 53165, 51108, 51450, 51437, 53239, 50909, 50901, 56170, 69330, 65529, 53756, 51437, 56038, 54907, 51079, 55209, 51159, 53455, 77656, 53533, 51149, 51110, 51439, 51095, 51415, 51227, 51326, 54382, 51239, 63317, 51326, 70332, 55348, 51376, 51224, 68196, 52881, 50909, 53630, 51437, 57962, 50953, 51204, 54652, 51148, 74491, 51562, 54967, 53576, 50935, 56705, 50857, 51762, 50421, 51007, 52762, 50935, 51095, 51007, 50991, 51125, 50855, 55017, 51203, 58598, 51100, 58413, 52975, 65343, 57969, 50864, 52112, 50433, 50847, 53018, 51332, 51047, 51133, 51204, 53165, 51490, 54967, 53239, 50909, 53197, 51437, 57460, 56170, 53421, 51149, 51116, 51439, 50991, 55209, 51100, 53455, 51178, 58413, 53173, 51133, 50859, 56170, 53970, 51437, 50846, 58282, 51183, 51271, 51294, 52364, 51878, 54967, 53576, 73188, 51762, 50421, 55017, 52917, 51840, 51060, 51007, 50863, 51649, 51100, 57804, 51178, 52949, 51194, 55981, 56450, 51239, 59485, 52238, 52767, 51007, 50867, 51271, 50948, 55017, 50874, 52112, 50437, 53165, 65461, 51133, 51048, 54967, 57014, 51332, 51310, 50444, 50909, 51100, 56170, 54438, 51437, 56038, 51415, 51227, 55209, 51177, 53455, 65504, 51149, 51095, 51439, 51215, 54907, 55742, 51239, 55079, 55348, 50933, 50455, 56170, 53581, 77655, 53822, 50905, 54967, 57962, 50953, 51091, 54652, 51314, 74491, 51295, 54967, 53576, 57969, 50971, 51762, 50425, 58598, 51101, 55017, 51255, 50426, 72863, 51007, 51124, 58413, 59485 ]
[ 0, 713, 17627, 17274, 5175, 2214, 11, 12608, 538, 1575, 10, 2382, 3459, 8669, 8, 13305, 816, 34879, 81, 10, 5204, 1451, 1286, 30, 21072, 8, 3459, 8669, 4, 16241, 212, 20535, 3639, 7, 5, 32076, 5466, 4, 20, 2125, 11498, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 19, 5, 33215, 16739, 9, 12608, 6, 230, 119, 6, 8, 272, 119, 16331, 5705, 1328, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50796, 61791, 50956, 52996, 57454, 50938, 51092, 50942, 50418, 50965, 51006, 51281, 58793, 57454, 58235, 50876, 51376, 57454, 50846, 52947, 52518, 51341, 57104, 50965, 50838, 79404, 50903, 64408, 50956, 51797, 52947, 51252, 51281, 50942, 65281, 52731, 52947, 51252, 51341, 56180, 50965, 50838, 57454, 50938, 52947, 52518, 51092, 50937, 50442, 50956, 51797, 51281, 69877, 57454, 57854, 50876, 51470, 57454, 50846, 52947, 52518, 51341, 58238, 50965, 50933, 51092, 50942, 50903, 66663, 50956, 51166, 52947, 51022, 51281, 61997, 50965, 51365, 52947, 51524, 51341, 50878, 54578, 52996, 57454, 50938, 51616, 54298, 51092, 50942, 50418, 50965, 51006, 51281, 58793, 57454, 58235, 50876, 51376, 57454, 50846, 51616, 52518, 51061, 57104, 50965, 50838, 79404, 50903, 64408, 50871, 51797, 51616, 51252, 51281, 50942, 65281, 52731, 51616, 51252, 51061, 56180, 50965, 50838, 57454, 50938, 51616, 52518, 51092, 50937, 50442, 50871, 51797, 51281, 69877, 57454, 57854, 50876, 51470, 57454, 50846, 51616, 52518, 51061, 58238, 50965, 50933, 51092, 50942, 50903, 66663, 50871, 51166, 51616, 51862, 51281, 61997, 50965, 51365, 52947, 51524, 76006, 56178, 52996, 54067, 50938, 51092, 50942, 51118, 54298, 50418, 50861, 51006, 51020, 58793, 54067, 58235, 50876, 51376, 54067, 50846, 51118, 52518, 51341, 51006, 54439, 50838, 79404, 50903, 60394, 50956, 51797, 52947, 51252, 51020, 50942, 65281, 52731, 52947, 55789, 51341, 56180, 50861, 50838, 54067, 50938, 51118, 52518, 51092, 50937, 50442, 50956, 51797, 51020, 69877, 54067, 57854, 50876, 51470, 54067, 50846, 51118, 53957, 51341, 50955, 56222, 50933, 51092, 50942, 50903, 62564, 50956, 51166, 52947, 51387, 51020, 61997, 76584, 51341, 50878, 56178, 52996, 54067, 50938, 52947, 52518, 51546, 50942, 50418, 50861, 51006, 51020, 58793, 54067, 58235, 50906, 51376, 54067, 50846, 52947, 52518, 51341, 51006, 54439, 50838, 51546, 50878, 50903, 63341, 50956, 51797, 52947, 51252, 51020, 66855, 50906, 52731, 51105, 50844, 52947, 51252, 51341, 55759, 53945, 50861, 50838, 54067, 50938, 67362, 52947, 52518, 51546, 58473, 63753, 50956, 51797, 51105, 50955, 51020, 63834, 55434, 54067, 57854, 50906, 51470, 54067, 50846, 50964, 50844, 52947, 52518, 51341, 60623, 54915, 58222, 63635, 51020, 59756, 61171, 50956, 51166, 51105, 50844, 52947, 51022, 51341, 55576, 69185, 57059, 76584, 50964, 50810, 52947, 51524, 51020, 55576, 67256, 50825, 56178, 50907, 62094, 65996, 51001, 50907, 51147, 51123, 57249, 50977, 57454, 50917, 53862, 50977, 51325, 51400, 51092, 50942, 51674, 51243, 51334, 52140, 52031, 73506, 61819, 61158, 50965, 78284, 50851, 60714, 51001, 50851, 51147, 51123, 51281, 57075, 53403, 57249, 50829, 57454, 50820, 53862, 56856, 71152, 78675, 67030, 51001, 50984, 51147, 50984, 57249, 50820, 57454, 50841, 53862, 50820, 52947, 52518, 51341, 71823, 52762, 50965, 68804, 50827, 67030, 67108, 51147, 50984, 51325, 50904, 51092, 60162, 53110, 60443, 50965, 52081, 50319, 53529, 50324, 52666, 50307, 51123, 67030, 52947, 51252, 51281, 65928, 59516, 50965, 52386, 50319, 52081, 50324, 52081, 50307, 50912, 57947, 51325, 50886, 52947, 51252, 51341, 62241, 52621, 50965, 77236, 52386, 50307, 50827, 60714, 67108, 57249, 50977, 57454, 50917, 53862, 50977, 51325, 51397, 52947, 52518, 51092, 57564, 53612, 59721, 50965, 69666, 72938, 52386, 50324, 52666, 50307, 50907, 51281, 67912, 53027, 57249, 50829, 57454, 50820, 53862, 56892, 50956, 72172, 77236, 52666, 50316, 50907, 51001, 50851, 57249, 50820, 57454, 50841, 53862, 50820, 52947, 52518, 51341, 64709, 52743, 50965, 61316, 52386, 50319, 52081, 50324, 52666, 50307, 50912, 51092, 50942, 51334, 51199, 50816, 53110, 57098, 50956, 72172, 69666, 52386, 50319, 51954, 50324, 50941, 52947, 51022, 51281, 57075, 59552, 70226, 67030, 51001, 50907, 51147, 50907, 50956, 51210, 52947, 51524, 51341, 61484, 50837, 54578, 50907, 62094, 65996, 50931, 50907, 51147, 51123, 54978, 50977, 57454, 50917, 53862, 50977, 50945, 51115, 51616, 54298, 51092, 50942, 51256, 51243, 51674, 51314, 51334, 52140, 50798, 53665, 60461, 50965, 64470, 50851, 60714, 66735, 51147, 51123, 51281, 57075, 53023, 54978, 50829, 57454, 50820, 53862, 56856, 63227, 78675, 67030, 71427, 51147, 50984, 54978, 50820, 57454, 50841, 53862, 50820, 51616, 52518, 51061, 71823, 52641, 50965, 61123, 50827, 67030, 59715, 51147, 50984, 51092, 60162, 53110, 60443, 50965, 79783, 53529, 50324, 75770, 51123, 67030, 51616, 51252, 51281, 65928, 58039, 50965, 52386, 50324, 61582, 50912, 57947, 50931, 50912, 50945, 50867, 51616, 51252, 51061, 55759, 54493, 52621, 50965, 66445, 77236, 75868, 50827, 60714, 54978, 50977, 57454, 50917, 53862, 50977, 50945, 51562, 51616, 52518, 51092, 50937, 51674, 74744, 53864, 60067, 50965, 69666, 66445, 52386, 50324, 75770, 50907, 51281, 67912, 54394, 54978, 50829, 57454, 50820, 53862, 56892, 50871, 72172, 77236, 52666, 50316, 50907, 66735, 54978, 50820, 57454, 50841, 53862, 50820, 51616, 52518, 51061, 64709, 52763, 50965, 61316, 73990, 52081, 50324, 75770, 50912, 51092, 50942, 51334, 51199, 50856, 53831, 61192, 50871, 72172, 69666, 73990, 51954, 50324, 50941, 51616, 51862, 51281, 57075, 57950, 67558, 70226, 67030, 50931, 50907, 51147, 50907, 52947, 51524, 51061, 57075, 50820, 56178, 50907, 58219, 65996, 51001, 50907, 50951, 51123, 57249, 50977, 54067, 50917, 53862, 50977, 50964, 51310, 51092, 50942, 51118, 54298, 51772, 51243, 51209, 51314, 51334, 52140, 50798, 53612, 60461, 50861, 78284, 50851, 60714, 51001, 50851, 50951, 51123, 51020, 57075, 53403, 57249, 50829, 54067, 50820, 53862, 56856, 71152, 57660, 67030, 51001, 50984, 76893, 57249, 50820, 54067, 50841, 53862, 77356, 52518, 51341, 71823, 52762, 50861, 68804, 50827, 67030, 67108, 76893, 51092, 60162, 53110, 60443, 50861, 52081, 50319, 53529, 50307, 51123, 67030, 76893, 52947, 51252, 51020, 65928, 59516, 50861, 52386, 50307, 50912, 57947, 51001, 50912, 78561, 50964, 50886, 52947, 55789, 51341, 62241, 52621, 50861, 68804, 50827, 60714, 67108, 71985, 57249, 50977, 54067, 50917, 53862, 50977, 50964, 51448, 51118, 52518, 51092, 50937, 51209, 72213, 53612, 59721, 50861, 69666, 72938, 52386, 50307, 50907, 76893, 51020, 67912, 53027, 57249, 50829, 54067, 50820, 53862, 56892, 50956, 66813, 64468, 52666, 50316, 50907, 51001, 50851, 57249, 50820, 54067, 50841, 53862, 77356, 53957, 51341, 64709, 52743, 50861, 61316, 52386, 50323, 52666, 50307, 50912, 51001, 50912, 51092, 50942, 52031, 51199, 50816, 53110, 57098, 50956, 66813, 69666, 52386, 50319, 72394, 50941, 52947, 51387, 51020, 57075, 59552, 50956, 50907, 60192, 67030, 51001, 50907, 71985, 51341, 61484, 50837, 56178, 50907, 58219, 69195, 51001, 50907, 50951, 51123, 57249, 50977, 54067, 50917, 54899, 50977, 51105, 51318, 52947, 52518, 51546, 50942, 51209, 51680, 51408, 51244, 52031, 52140, 50798, 53665, 60461, 50861, 78284, 50851, 63613, 51001, 50851, 50951, 51123, 51020, 57075, 53023, 57249, 50829, 54067, 50820, 54899, 56856, 71152, 57660, 70181, 76893, 51001, 51365, 57249, 50820, 54067, 50841, 54899, 50820, 52947, 52518, 51341, 71823, 52641, 50861, 68804, 50827, 70181, 67108, 76893, 51546, 60162, 53110, 60443, 50861, 52081, 50307, 51123, 70181, 51001, 51123, 76893, 52947, 51252, 51020, 65928, 58039, 50861, 52386, 50319, 52081, 50307, 50912, 61801, 78561 ]
[ 0, 250, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 42, 15229, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 19448, 23225, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 30853, 19, 10, 33215, 16739, 9, 272, 119, 6, 230, 401, 6, 211, 6, 8, 272, 4, 20, 2635, 2877, 8, 16487, 1943, 6711, 146, 24, 157, 12, 9228, 4560, 13, 304, 11, 822, 50, 569, 177, 2369, 36546, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50416, 52550, 51009, 52895, 51352, 55411, 51184, 53029, 51184, 52205, 51184, 50441, 52550, 66395, 52573, 50824, 52044, 50824, 52478, 53334, 50824, 51975, 50824, 52550, 51009, 52205, 51009, 50431, 52797, 53681, 55411, 51009, 53029, 51009, 52550, 51009, 52205, 51009, 51975, 51352, 55753, 52049, 51009, 52573, 51352, 53029, 51184, 52044, 51184, 50434, 51975, 66456, 52797, 50824, 52049, 51009, 50459, 52573, 50824, 52242, 50824, 60212, 52797, 51029, 53029, 51009, 52573, 51352, 52049, 51352, 50443, 51975, 64070, 53029, 51009, 53640, 51009, 52044, 51352, 50799, 52550, 52410, 53296, 52038, 52550, 51029, 53571, 51009, 52662, 51009, 50439, 51975, 77189, 52573, 69986, 56495, 51029, 53334, 51009, 52205, 51352, 51975, 51184, 57731, 53571, 55396, 52573, 50824, 53029, 51184, 50442, 52342, 50802, 52550, 50824, 50448, 52895, 67897, 52044, 50824, 52573, 51009, 52797, 51009, 53069, 52342, 50824, 50431, 52049, 51029, 51975, 51029, 52416, 51029, 52550, 51009, 53029, 51352, 55411, 51184, 50450, 52292, 58691, 52740, 50824, 52550, 51009, 55753, 53029, 50824, 52573, 63721, 52740, 51029, 52049, 51029, 51975, 51029, 52550, 51009, 53029, 51352, 55411, 51184, 50453, 52049, 54934, 52242, 50802, 52550, 51009, 52478, 52443, 75800, 51975, 50802, 53029, 65514, 52044, 62472, 52895, 50802, 53029, 51029, 52550, 51029, 55411, 51184, 52205, 51184, 50443, 52044, 64070, 52895, 52325, 53029, 50802, 52342, 50802, 50799, 53249, 50802, 52895, 54226, 53895, 61536, 52550, 50802, 52044, 70245, 52573, 63747, 53334, 50824, 51975, 50824, 52205, 51009, 52550, 51352, 50452, 52573, 50823, 52797, 54098, 53334, 67903, 52292, 50823, 52177, 53334, 51009, 51975, 51009, 52205, 74666, 55411, 75085, 52049, 51009, 52573, 51352, 53029, 51184, 52044, 51184, 50448, 52797, 60646, 52242, 62167, 52797, 50802, 53069, 51975, 50802, 52292, 54107, 52242, 52030, 52797, 50802, 53334, 53663, 51975, 62485, 52797, 50802, 52044, 50802, 53029, 51009, 52573, 51009, 52049, 51009, 50451, 51975, 58268, 52044, 57303, 52895, 58055, 66387, 51809, 52205, 60442, 52662, 58026, 52044, 51009, 53640, 51009, 50428, 53029, 57925, 53249, 52674, 53296, 52057, 52550, 53609, 52573, 52284, 52740, 52911, 52292, 50802, 52662, 51009, 50454, 53571, 57303, 53029, 58055, 53249, 50803, 51975, 50824, 51601, 53296, 62180, 52550, 59236, 52573, 59174, 51975, 50802, 56495, 51009, 53334, 51009, 52205, 51009, 50431, 52044, 62472, 52895, 62148, 51975, 52175, 52044, 50802, 53571, 51009, 52573, 51009, 52342, 65202, 51975, 50802, 50799, 52797, 66350, 52242, 61536, 52797, 50860, 53029, 51009, 52573, 51009, 52049, 51009, 52044, 51009, 50433, 51975, 66456, 52797, 69986, 52049, 51029, 51975, 51029, 52416, 51029, 53029, 51009, 52550, 51352, 55411, 51184, 57731, 52044, 56998, 51975, 58874, 52443, 50803, 53029, 51009, 50433, 52242, 58198, 52049, 57149, 52292, 60295, 52740, 50803, 52550, 66456, 52292, 57891, 52049, 62103, 52292, 58403, 52740, 50824, 52550, 51029, 53029, 51009, 55411, 51184, 52591, 52740, 51352, 52049, 51352, 51975, 61874, 52550, 61511, 53029, 77189, 52550, 79263, 52049, 51352, 51975, 51352, 52550, 51184, 53334, 51184, 50796, 50435, 52205, 51009, 50448, 52292, 50824, 52044, 50824, 50460, 52550, 51009, 52049, 51009, 52895, 51009, 52205, 51009, 61627, 52044, 50824, 53249, 51009, 53322, 51009, 52662, 70851, 51975, 50824, 51601, 52049, 51009, 52895, 51009, 53640, 51009, 53029, 51184, 50440, 53640, 50823, 52573, 50824, 52044, 57310, 52662, 63816, 53640, 58615, 52662, 50823, 52049, 50824, 50457, 52205, 62181, 52662, 50823, 52177, 53029, 51009, 52573, 51009, 52049, 51009, 52044, 51009, 53640, 51009, 50443, 56280, 51009, 52242, 51009, 52044, 51009, 52662, 51352, 50455, 52573, 50824, 52591, 52443, 51009, 52044, 51009, 53029, 51184, 52573, 51184, 50433, 52205, 77189, 52242, 50824, 53296, 51009, 52205, 51352, 50458, 52049, 50824, 57731, 53249, 50824, 52242, 51009, 52044, 51009, 55061, 51184, 52573, 51184, 50435, 53731, 50802, 53029, 75085, 52416, 80220, 53731, 50802, 53249, 51009, 50454, 52205, 73300, 52044, 51009, 53069, 53731, 65214, 53895, 51029, 53029, 51184, 52205, 51184, 50438, 52895, 62001, 52550, 59712, 52573, 50824, 50457, 52044, 58055, 69289, 51601, 66017, 53334, 73354, 51975, 58026, 52797, 57615, 52242, 60066, 52797, 50824, 52573, 51029, 53029, 51184, 50441, 52797, 51352, 52044, 51352, 52205, 51352, 50447, 52049, 55680, 52573, 50824, 52478, 52049, 65514, 53334, 51352, 52049, 51352, 51975, 51352, 52550, 51184, 50456, 52205, 51009, 52591, 52292, 50824, 52044, 70245, 52550, 51009, 52049, 51009, 52895, 51009, 52205, 51009, 50458, 52044, 50824, 53249, 51009, 53322, 51009, 52662, 51009, 57731, 51975, 50824, 50436, 52049, 51009, 52895, 51009, 53640, 51009, 53029, 51184, 50461, 53640, 50823, 52573, 50824, 52044, 51009, 52177, 52662, 67721, 53640, 53537, 52662, 50823, 52049, 65514, 52205, 55996, 52662, 53925, 53640, 50802, 53029, 51009, 52573, 51009, 52049, 51009, 50445, 53382, 59550, 53640, 57365, 52662, 58268, 52205, 57303, 52662, 58055, 53640, 50803, 51809, 56280, 51009, 52573, 51009, 52662, 51009, 50428, 52242, 57699, 52443, 50802, 52573, 51009, 53029, 51184, 50447, 52205, 52116, 52342, 58268, 52416, 57303, 52044, 58055, 69289, 51601, 52443, 62180, 74920, 52550, 78943, 52443, 57615, 52049, 60066, 52242, 57925, 52443, 50803, 53296, 63721, 51975, 57880, 52044, 62281, 52416, 52284, 53731, 50803, 52573, 50824, 55061, 51009, 53249, 51009, 50447, 52044, 52116, 52416, 53532, 53731, 52163, 66292, 52550, 54934, 73588, 51601, 53640, 50803, 53296, 50802, 50418, 52205, 59236, 73588, 53249, 50802, 55061, 51009, 52573, 51407, 50424, 52205, 56998, 53731, 50803, 53029, 71692, 52416, 56861, 52044, 50802, 52205, 50802, 53249, 50824, 50440, 53731, 61409, 53029, 50993, 52044, 50824, 52205, 51184, 50449, 52550, 62103, 53296, 52163, 53249, 52937, 52895, 50824, 53029, 51352, 50799, 53249, 54024, 53296, 52244, 52550, 52801, 52573, 50803, 52044, 71030, 53334, 58874, 52292, 57476, 52573, 58198, 53334, 50803, 51975, 62104, 52550, 60295, 52573, 59116, 53334, 57891, 52797, 50824, 52573, 51009, 53029, 51352, 50461, 52797, 51352, 52044, 51352, 52205, 51352, 52591, 52049, 52038, 52573, 51009, 50439, 53029, 67067, 52550, 51352, 52740, 51352, 52049, 51184, 51975, 51184, 79254, 52205, 68071, 53296, 50824, 52573, 66395, 53249, 51009, 52550, 51009, 52292, 51009, 53382, 51352, 53069, 51975, 50824, 50431, 52044, 50824, 53029, 57310, 52416, 50824, 53640, 50824, 50457, 52342, 51352, 53571, 51184, 52662, 51184, 55753, 52550, 63721, 52573, 63058, 52740, 50824, 52416, 70216, 52044, 50824, 52292, 51352, 53571, 51184, 52662, 51184, 60212, 51975, 71692, 52797, 78422, 52242, 62148, 52797, 64070, 51975, 50802, 52740, 50824, 50455, 52242, 50802, 50799, 52797, 50802, 52573, 50824, 52205, 51009, 53029, 61912, 52049, 52038, 52242, 50802, 52049, 70245, 52797, 63747, 51975, 50802, 52292, 77189, 52044, 69986, 52416, 50802, 52740, 50824, 52205, 51009, 50458, 51975, 50802, 51809, 52044, 50802, 52573, 50824, 53029, 51184, 52049, 51184, 50423, 51975, 55396, 52797, 50802, 52550, 50824, 52342, 60739, 52242, 71138, 52797, 50802, 52573, 51009, 52044, 51009, 50448, 51975, 73300, 52797, 50802, 53069, 51975, 50824, 55411, 51029, 53029, 51029, 52550, 51029, 52416, 51184, 50432, 52049, 53663, 53296, 53609 ]
[ 0, 250, 3495, 1011, 625, 19, 10, 2842, 9, 3152, 6, 42, 15352, 30054, 657, 2214, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 204, 73, 306, 86, 4, 20, 13305, 8, 2382, 3459, 8669, 185, 5, 483, 6, 2800, 30, 21072, 6, 3459, 9590, 6, 8, 10, 6755, 12547, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 24, 1575, 10, 33215, 16739, 9, 83, 6, 274, 10431, 119, 6, 211, 6, 163, 119, 6, 8, 381, 406, 4, 20, 1619, 12, 2577, 196, 8859, 7630, 6568, 10, 1472, 9, 11098, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50796, 54852, 51183, 51266, 51492, 73886, 73112, 52045, 56035, 51492, 53278, 50918, 52684, 50918, 55340, 63229, 50968, 65516, 50999, 51141, 50423, 51220, 51631, 50843, 56609, 50968, 53387, 51399, 53505, 50968, 53614, 51114, 51218, 51146, 70002, 51291, 53654, 50918, 54008, 50918, 53679, 50918, 50447, 50902, 51294, 51220, 51241, 57702, 56782, 50856, 53556, 51114, 51458, 50330, 50805, 58470, 51129, 52657, 52015, 50461, 50856, 51004, 54852, 51047, 50856, 50829, 53278, 50918, 52684, 50918, 55340, 63229, 50968, 65516, 50999, 51141, 50423, 51220, 51631, 51468, 50429, 50968, 53387, 51399, 53417, 66007, 50968, 53614, 51114, 51442, 50330, 51364, 67663, 52008, 53654, 50918, 54008, 50918, 53679, 66584, 56296, 54653, 51114, 51097, 58539, 52657, 55118, 50902, 50805, 51220, 73133, 51693, 52646, 62135, 50832, 56663, 54164, 50818, 51817, 57622, 51086, 74572, 50838, 52022, 53920, 51086, 51004, 51114, 51458, 50330, 52201, 51129, 51415, 54421, 51086, 51129, 50902, 57396, 50891, 51019, 50808, 56310, 51244, 51733, 53520, 56089, 53390, 50841, 51011, 52097, 53278, 50918, 52684, 50918, 55340, 63229, 50916, 51003, 57340, 51141, 74199, 50973, 50795, 51544, 54396, 51405, 51306, 50916, 53387, 51405, 51306, 51028, 51370, 55799, 51405, 51306, 50916, 53948, 50891, 51011, 56341, 50989, 51218, 50902, 50983, 51027, 54805, 51539, 50846, 51011, 50962, 53654, 50918, 54008, 50918, 53679, 50918, 64181, 51011, 51274, 50447, 50899, 51294, 50973, 51241, 52320, 51625, 53545, 50856, 54038, 50989, 59353, 50805, 51983, 58470, 73496, 50856, 50928, 56310, 51080, 56089, 53390, 50846, 51069, 51285, 53278, 50918, 52684, 50918, 55340, 63229, 50916, 51003, 57340, 51141, 74199, 50973, 50795, 51544, 51663, 54956, 50916, 73195, 51028, 50911, 51983, 56215, 55567, 51129, 51069, 71150, 51315, 60934, 50989, 79199, 72213, 55147, 53665, 50841, 51019, 51294, 64638, 50918, 52583, 50918, 53654, 50918, 54008, 50918, 50439, 50973, 51077, 50447, 51456, 50829, 51382, 53784, 56353, 51019, 54210, 50999, 50854, 51284, 54806, 50846, 67110, 50459, 50951, 50862, 51182, 50378, 53183, 60634, 51360, 50825, 51027, 50825, 51086, 70883, 65335, 73940, 50846, 50973, 50839, 50968, 50846, 51069, 50884, 51228, 50884, 73112, 50818, 77991, 50818, 52583, 50818, 53278, 50818, 52507, 50818, 54165, 50818, 54008, 50818, 54008, 50818, 56807, 79449, 65287, 51608, 50301, 51623, 51182, 50977, 51206, 53756, 51135, 50846, 50927, 51573, 52583, 51036, 53654, 50918, 52684, 56100, 51114, 50862, 51600, 50862, 51983, 51282, 52536, 50423, 51114, 51692, 51600, 51692, 71241, 59153, 63831, 51161, 50903, 51636, 51083, 51585, 51974, 51539, 50891, 50927, 50895, 51268, 52322, 50916, 50983, 52620, 50846, 50927, 52195, 51089, 51196, 51023, 51356, 53278, 56027, 51027, 51364, 51983, 56279, 60181, 51625, 52349, 50916, 51370, 50891, 56310, 50884, 51086, 50884, 51086, 78228, 50884, 50989, 64890, 78540, 71415, 51077, 51086, 52392, 50989, 51264, 50973, 51264, 52620, 50846, 51205, 52097, 52473, 50893, 51595, 50883, 51083, 50896, 51268, 51274, 51023, 50895, 51208, 50895, 51208, 51356, 56470, 50818, 52583, 50918, 53654, 52045, 52684, 50818, 54008, 50818, 54008, 51036, 51039, 50891, 52473, 51655, 50422, 51220, 51177, 51558, 51177, 51768, 51636, 51083, 51016, 50428, 51399, 50977, 51905, 50977, 51361, 50891, 51268, 50807, 50433, 51146, 50977, 51384, 78885, 51205, 59653, 51399, 50977, 51905, 60592, 51040, 50889, 52620, 50846, 51205, 51031, 51495, 51016, 51208, 51336, 55080, 58627, 51220, 51255, 51558, 51255, 52129, 51833, 50891, 51205, 51294, 51268, 51941, 50450, 51114, 65860, 50914, 51600, 53330, 51625, 50818, 51083, 51016, 51185, 51016, 52583, 58031, 51086, 50891, 50999, 50977, 51284, 59960, 51086, 51004, 51220, 52434, 50303, 50795, 51558, 50977, 51983, 50459, 51086, 51129, 51399, 50942, 51905, 50942, 55435, 72969, 74220, 50846, 51146, 51177, 51040, 68036, 59460, 51608, 50301, 51358, 51384, 51177, 52620, 50846, 51213, 51573, 51495, 51016, 51193, 50884, 51385, 51696, 51023, 51336, 55080, 51036, 53361, 50818, 52684, 56100, 51399, 51183, 51905, 51183, 51983, 52473, 52392, 71241, 73685, 63831, 51161, 50903, 51636, 51495, 51933, 50429, 51405, 58025, 51405, 50362, 51005, 51539, 50891, 51213, 50895, 51268, 63363, 51405, 58930, 50916, 50983, 52620, 50846, 51213, 52195, 51089, 51336, 51023, 51336, 53278, 56027, 50999, 51400, 51027, 50983, 51284, 51400, 59230, 51040, 70504, 51625, 53545, 51220, 51255, 51558, 79100, 50916, 50938, 51983, 50461, 51026, 74359, 72974, 50846, 50916, 69688, 79600, 51351, 51304, 51351, 51815, 51336, 51401, 50884, 51118, 51158, 51083, 50884, 51089, 51013, 51020, 50884, 51092, 50895, 53460, 50918, 52583, 50818, 53278, 50918, 52507, 50818, 55524, 74694, 70156, 51077, 51027, 51036, 52620, 50846, 51069, 52097, 51023, 51364, 52684, 51036, 51039, 50891, 51282, 52536, 56248, 78040, 68691, 51623, 50903, 51636, 51089, 51073, 50429, 51220, 50862, 51558, 54215, 51220, 50977, 51558, 50977, 51983, 51023, 51977, 56215, 50863, 51069, 61808, 51040, 72974, 50846, 50989, 73690, 70882, 50818, 52473, 50884, 51282, 51336, 51268, 50884, 55080, 50818, 52583, 50818, 53654, 52565, 78569, 50900, 55143, 60763, 50918, 51284, 50942, 52620, 50846, 50927, 50949, 51020, 51013, 51092, 51196, 53460, 50918, 52507, 50807, 50443, 50999, 51400, 51284, 51400, 55513, 51189, 58140, 50891, 50927, 71381, 50989, 54881, 51625, 50818, 51268, 51013, 53654, 58031, 51086, 50982, 50927, 57109, 78569, 51284, 58774, 51086, 51258, 51220, 50942, 50877, 50849, 51558, 50942, 51983, 51069, 70891, 51086, 51306, 50460, 51062, 51295, 51304, 51295, 53975, 70790, 64890, 53756, 51135, 50846, 50927, 58410, 50956, 50828, 51086, 79746, 75842, 51048, 50973, 51103, 51205, 50949, 50953, 51573, 52473, 50884, 51401, 50924, 51595, 50948, 51020, 51364, 51208, 51356, 51185, 51196, 51546, 50883, 52583, 51492, 53953, 50818, 52507, 51036, 54008, 50918, 51039, 50891, 51401, 54851, 51086, 70022, 51077, 50861, 51486, 50903, 51636, 51083, 51655, 50430, 51430, 51194, 51733, 77066, 51405, 50362, 51005, 51539, 50891, 50953, 50895, 51020, 51977, 50435, 51405, 58930, 51027, 51442, 50330, 51295, 77736, 51384, 51295, 52620, 66176, 52195, 51023, 51336, 52684, 56027, 51027, 50983, 51983, 56279, 54881, 51625, 52349, 51146, 50977, 51384, 50977, 51983, 54955, 70215, 50828, 51146, 51177, 50899, 78620, 73090, 50918, 51384, 51177, 52620, 66176, 52097, 51020, 50884, 51061, 50895, 51193, 51336, 51020, 51343, 52507, 50818, 52693, 50818, 53361, 50918, 52507, 56100, 51062, 50977, 51304, 50977, 51983, 51401, 51605, 50426, 51062, 51177, 50906, 62525, 51141, 50861, 51538, 51304, 51177, 50903, 51636, 51083, 51933, 50432, 51081, 50942, 51394, 50942, 51983, 51020, 51358, 50435, 50953, 53418, 51081, 50942, 51027, 57543, 50889, 51394, 50942, 52620, 66176, 51031, 51023, 51013, 52684, 58627, 50999, 50862, 51284, 54247, 50999, 61566, 50983, 51284, 55998, 51833, 50891, 50953, 51013, 50449, 80248, 51182, 58332, 50906, 74492, 71884, 75269, 51625, 73938, 51073, 53361, 51048, 50453, 51081, 50901, 51394, 55670, 50906, 50938, 51983, 69078, 50458, 50999, 50854, 51284, 64098, 51027, 72969, 71415, 69498, 50846, 51028, 75715, 61471, 51941, 51069, 50961, 51815, 51060, 51495, 50884, 51083, 51013, 51089, 50983, 51023, 51336, 55080, 50818, 52583, 51036, 53278 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 4246, 10, 13305, 6, 278, 11, 10, 748, 1879, 15525, 204, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 10431, 538, 6, 7630, 14805, 10, 11739, 9, 15352, 30054, 15073, 8, 17878, 9, 11098, 14, 115, 3235, 10, 822, 19834, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 57061, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 60497, 50800, 51787, 51835, 68631, 51787, 51620, 68631, 51787, 51628, 68631, 51787, 51724, 50931, 65857, 51798, 50931, 72350, 56229, 50800, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 57844, 66107, 52115, 50906, 63627, 51631, 50973, 66107, 51736, 50906, 63627, 51646, 50973, 66107, 51918, 50906, 63627, 51798, 50973, 66107, 51923, 51114, 50795, 51787, 50795, 56229, 50800, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 60497, 50800, 51787, 51835, 68631, 51787, 51620, 68631, 51787, 51628, 68631, 51787, 51724, 50931, 65857, 51798, 50931, 72350, 56229, 50800, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 60497, 50800, 51787, 51835, 68631, 51787, 51620, 68631, 51787, 51628, 68631, 51787, 51724, 50931, 65857, 51918, 51114, 50795, 51787, 51798, 51147, 50795, 52128, 51923, 51114, 50795, 51787, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 6, 3722, 3495, 13305, 37903, 11, 274, 538, 6, 7630, 14805, 10, 1186, 9, 6711, 29, 31, 11098, 8, 657, 7, 15073, 6, 10686, 13, 304, 11, 822, 6, 19, 10, 881, 21263, 9, 5, 33215, 16739, 274, 6, 1918, 406, 6, 274, 6, 163, 428, 6, 83, 406, 73, 347, 10431, 11, 41, 18186, 112, 73, 306, 86, 6543, 23, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50631, 50871, 55041, 50871, 50873, 51034, 64384, 60564, 51267, 57019, 55945, 50871, 50901, 51034, 50906, 51159, 60564, 51056, 63451, 58007, 51056, 50444, 51050, 50901, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 63451, 57586, 77484, 51050, 50901, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 55203, 51056, 78016, 71543, 51267, 50931, 51127, 53337, 51267, 55203, 51267, 78016, 71543, 51056, 50931, 51127, 53337, 51267, 57019, 51056, 51001, 51109, 71213, 51183, 50902, 51267, 60718, 51267, 57019, 51267, 50876, 51267, 71213, 51127, 50906, 51267, 60564, 51267, 64574, 51267, 50871, 53999, 50871, 50901, 71543, 51056, 64384, 53337, 51056, 64384, 55203, 51267, 50871, 53999, 50871, 50901, 75424, 51267, 50906, 51159, 56759, 51267, 64384, 63451, 58000, 51056, 50444, 51050, 50901, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 63451, 58000, 75115, 51050, 50873, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 55203, 51056, 78016, 71543, 51056, 50931, 51183, 53337, 51267, 55203, 51267, 50931, 51267, 71543, 51056, 50931, 51183, 53337, 51267, 57019, 51056, 51001, 51267, 71213, 51183, 50902, 51267, 60718, 51267, 57019, 51267, 67384, 71213, 51183, 70338, 60564, 51267, 74482, 50956, 51267, 71543, 51267, 53337, 51267, 50438, 50630, 50900, 51267, 69024, 51267, 50422, 50626, 56759, 51056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 713, 9066, 19834, 2125, 6, 19, 4785, 9, 3495, 6, 1575, 10, 13305, 8, 6755, 12547, 981, 5, 33301, 6, 7513, 30, 30587, 8669, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 83, 538, 19, 10, 7212, 204, 73, 306, 20889, 6, 5, 15229, 7630, 6568, 41, 11653, 8, 3722, 5466, 6, 6683, 14756, 13, 822, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 211, 6, 83, 6, 8, 381, 35315, 1328, 5, 2214, 6, 2351, 10, 1472, 9, 30234, 8, 26545, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50796, 58066, 51310, 50899, 51159, 50989, 50817, 50989, 66154, 51241, 51881, 53753, 52332, 51141, 52187, 51894, 51857, 55115, 50938, 56440, 50911, 53337, 50884, 70138, 50791, 50938, 50431, 51615, 50918, 58296, 51448, 50861, 51343, 51214, 51183, 50973, 72475, 51300, 51555, 51977, 52123, 51675, 51902, 51591, 50433, 54311, 51407, 51570, 50938, 50443, 51120, 51542, 67964, 52175, 51026, 51060, 50861, 78487, 59132, 50899, 67011, 61630, 52332, 51218, 51656, 51264, 54206, 75286, 65172, 51800, 50294, 51191, 50989, 51735, 51181, 55115, 50938, 56440, 50923, 53337, 54444, 56632, 51040, 52263, 77736, 50916, 67445, 51009, 51279, 51127, 52033, 51148, 53100, 51244, 53444, 52168, 51584, 51358, 52041, 51358, 50433, 51844, 51407, 51570, 60492, 51315, 51218, 50852, 53688, 51027, 63490, 50938, 56672, 61630, 51881, 51894, 50461, 52332, 51115, 54206, 52048, 51324, 68369, 74495, 69732, 50932, 51857, 55115, 50938, 50417, 52187, 51518, 56440, 51173, 53337, 60500, 52744, 50938, 50431, 51615, 51103, 51555, 51977, 58296, 51878, 51214, 51047, 50861, 51364, 50973, 50820, 52123, 51742, 51902, 51452, 50433, 50973, 51300, 54311, 51407, 51570, 50938, 50443, 51120, 51351, 67964, 52610, 51026, 55143, 73262, 59132, 50899, 51310, 50852, 62037, 51881, 58940, 50461, 51656, 53588, 54852, 51191, 50989, 50839, 51120, 51091, 50989, 51072, 52332, 51466, 51181, 74752, 50938, 56440, 50893, 53337, 51370, 50938, 50431, 52033, 54532, 50432, 51040, 51397, 50916, 50846, 67663, 50916, 51870, 51279, 51127, 53100, 52263, 53444, 51447, 51584, 51103, 51844, 51300, 50433, 52041, 51103, 51570, 60492, 51315, 69830, 51027, 51121, 53316, 50938, 54706, 52193, 51844, 59798, 50817, 53206, 50817, 58066, 67232, 74154, 50829, 50989, 50839, 51324, 51141, 50899, 51162, 50989, 66154, 50914, 51881, 51362, 52332, 51059, 52187, 51226, 52294, 51072, 51857, 50976, 51479, 56330, 50825, 78390, 51957, 50976, 62560, 50825, 52111, 58990, 50899, 57630, 51622, 50950, 51181, 59798, 50840, 62560, 50825, 51999, 59277, 51881, 51896, 51615, 52827, 52187, 51685, 50432, 51214, 51103, 50899, 51448, 50973, 51397, 50861, 51472, 52874, 51029, 51479, 56330, 57004, 54311, 51029, 52224, 50825, 51570, 56330, 50825, 52260, 53114, 51479, 56330, 50825, 52283, 57723, 51120, 51101, 52375, 63758, 51026, 59140, 50840, 62560, 50825, 52145, 53217, 50899, 51058, 51857, 50823, 62560, 54026, 51957, 53291, 56834, 51881, 51134, 51656, 51573, 52332, 51054, 54206, 51203, 50989, 51267, 50877, 50807, 51120, 51189, 51479, 56330, 55916, 52294, 51072, 51181, 50860, 51921, 61044, 56330, 58092, 51640, 50865, 52111, 58990, 50899, 53803, 51622, 50930, 51137, 63637, 50840, 62560, 50825, 51999, 59277, 51656, 51896, 52033, 51196, 53100, 51336, 50432, 51040, 51318, 50877, 51413, 51279, 71651, 51103, 51622, 51009, 51349, 51870, 51479, 56330, 50825, 52224, 50825, 51570, 56330, 50825, 52260, 53114, 51315, 50983, 51479, 56330, 50825, 52283, 52743, 51027, 52108, 50840, 62560, 50825, 52145, 53217, 51040, 51589, 56330, 50825, 52215, 56834, 51881, 51364, 52187, 51573, 52332, 51761, 58066, 51056, 50973, 51097, 52294, 50824, 51857, 50976, 51479, 56330, 55916, 50899, 51412, 50989, 51003, 78390, 51957, 50923, 62560, 50825, 52111, 52641, 78231, 51622, 50882, 51533, 50828, 51181, 56905, 50840, 62560, 50825, 77610, 51214, 51148, 50899, 51448, 50861, 51336, 50973, 51183, 51881, 51896, 51615, 52827, 52187, 51977, 52874, 51059, 51479, 56330, 57004, 54311, 51300, 52224, 50825, 51570, 56330, 50825, 52260, 59692, 51120, 59242, 51479, 56330, 50825, 52283, 57723, 52375, 62568, 51026, 54792, 50840, 62560, 50825, 52145, 53217, 69505, 51857, 50823, 62560, 54026, 51957, 55466, 56834, 51881, 51419, 51656, 51541, 52332, 51362, 57126, 58421, 51091, 50899, 51025, 51120, 51189, 52294, 50824, 51479, 56330, 55916, 77064, 51921, 61044, 56330, 58092, 51640, 50860, 52111, 58990, 50899, 61288, 51137, 50976, 58413, 56330, 58245, 51622, 50930, 51999, 59277, 51656, 51896, 52033, 51196, 53100, 51623, 63174, 51134, 51279, 51358, 51040, 51391, 50916, 50889, 51622, 51300, 51349, 51300, 51479, 56330, 50825, 52224, 50825, 51570, 56330, 50825, 52260, 53114, 51479, 56330, 50825, 52283, 52743, 50877, 50991, 51040, 51008, 58413, 56330, 58351, 50916, 50873, 54706, 52100, 53217, 51040, 51008, 51844, 56905, 51239, 56330, 57077, 51622, 57239, 52294, 55466, 56834, 51656, 51167, 51881, 52382, 52332, 51795, 54206, 51091, 50989, 51364, 51120, 51318, 50877, 51343, 51181, 51407, 59284, 50938, 51206, 70623, 53964, 50975, 50421, 51656, 52222, 50422, 52874, 51184, 57025, 53090, 50428, 51838, 51655, 58296, 55362, 51570, 60492, 51120, 57820, 50449, 50989, 51243, 50456, 50877, 52071, 50461, 50902, 51518, 53028, 50938, 51570, 50938, 50461, 50899, 64890, 50895, 51120, 50846, 50989, 50846, 54206, 51162, 50989, 58421, 51364, 51120, 51714, 50791, 50938, 53337, 57648, 50902, 51091, 50433, 50877, 51419, 51570, 50938, 55989, 51400, 50449, 50989, 51212, 60027, 53581, 60501, 50461, 51324, 50918, 54206, 51400, 50989, 60939, 54881, 50938, 53337, 53193, 50877, 65788, 78382, 51233, 50438, 51279, 59770, 60492, 51040, 51775, 59758, 73575, 51040, 62574, 50313, 50917, 54795, 51933, 50791, 61555, 50850, 50893, 50421, 50899, 76349, 50847, 50879, 72513, 52014, 50294, 51077, 50433, 50973, 64306, 51043, 51026, 51291, 50848, 51623, 51570, 50938, 55989, 50987, 56279, 51524, 50861, 73662, 51101, 50455, 74372, 57551, 51551, 50791, 50938, 56440, 51178, 54439, 57356, 50861, 72396, 51363, 50916, 51277, 66240, 51291, 50791, 50938, 50445, 50916, 51852, 56222, 55069, 50916, 51178, 57497, 53241, 50791, 50938, 50421, 50916, 51480, 51125, 51173, 56207, 50978, 64349, 54342, 50868, 51336, 50433, 68575, 50877, 53177, 50317, 51127, 51570, 60492, 50916, 56697, 50916, 51862, 50877, 61327, 50916, 50972, 54868, 51655, 50791, 50938, 54569, 53055, 50425, 50989, 51961, 63174, 61420, 50807, 51570, 60492, 50989, 54058, 50899, 50901, 54795, 51141, 50973, 51388, 50935, 64532, 50938, 55902, 51158, 72579, 53337, 50844, 50848, 67673, 51279, 51358, 50433, 51028, 52530, 50308, 51380, 51125, 51291, 51570, 60492, 50877, 50991, 50451, 50916, 51203, 54868, 51356, 50877, 51345, 50899, 51221, 50989, 51591, 55430, 52140, 51881, 57771, 51656, 51991, 52332, 50360, 50411, 51181, 51352, 59284, 50840, 53337, 73844, 53810, 50902, 51362, 51838, 65680, 51120, 51189, 50903, 51864, 54400, 50899, 51377, 50450, 50989, 69829, 54166, 50899, 50977, 51181, 56795, 51156, 58693, 62146, 51145, 52187, 51627, 58066, 51551, 51857, 51009, 59284, 54507, 50899, 51534, 71241, 67046, 56914, 53810, 51040, 51203, 50916, 51003, 50433, 50877, 51003, 50437, 51656, 51115, 52033, 51419, 59439, 64164, 51279, 51077, 53100, 51477, 51844, 51870, 50903, 51864, 54400, 51040, 51642, 59758, 56022, 61519, 51040, 55735, 59284, 58693, 52187, 51742, 54795, 51161, 50899, 51310, 51615, 51103, 60691, 51692, 54311, 51352, 59284, 64521, 74367, 50973, 51477, 50418, 51881, 53265, 50425, 55430, 72440, 51120, 51103, 50791, 53810, 51026, 51472, 53817, 51115, 50437, 51881, 51534, 55898, 51203, 50903, 51864, 54400, 50861, 50866, 51615, 52063, 50449, 51881, 51328, 56222, 64151, 50810, 50973, 51203, 52187, 78197, 50791, 58045, 51615, 52826, 50455, 50899, 55162, 54311, 55024, 51156, 56249, 52033, 51671, 50460, 56617, 50943, 57551, 51077 ]
[ 0, 713, 8787, 5175, 8, 3495, 15229, 11, 274, 538, 16, 10, 15352, 30054, 8, 20425, 2125, 6, 4246, 10, 13305, 6, 20535, 2810, 6, 6755, 12547, 6, 18558, 6, 8, 3459, 9590, 4, 590, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50796, 53028, 50895, 51544, 51051, 51570, 51365, 54852, 66894, 53819, 50321, 52640, 50309, 51030, 57340, 63835, 67118, 55081, 50877, 63835, 59815, 53548, 50877, 60407, 59815, 53974, 50877, 62282, 70314, 54773, 50877, 60407, 59815, 52510, 50861, 62272, 76640, 75509, 54988, 50871, 64425, 71610, 50858, 50931, 52935, 50871, 50950, 54662, 51379, 51165, 52024, 51107, 52024, 51154, 52024, 51096, 54482, 57639, 50949, 54569, 67431, 69366, 52304, 54392, 51120, 51138, 50927, 55720, 52119, 50899, 67431, 52236, 50314, 51879, 50297, 51021, 50945, 52715, 53813, 51234, 51167, 51096, 54482, 55380, 50899, 67431, 69366, 52304, 53688, 51120, 60589, 52677, 52163, 50899, 67431, 64923, 51804, 50297, 51030, 50945, 52715, 50809, 54662, 51167, 51096, 54482, 51880, 50855, 54569, 67431, 69366, 52304, 52273, 52524, 51120, 51138, 50927, 55720, 51880, 53695, 50899, 52640, 50309, 52236, 50314, 52236, 50297, 50911, 50945, 51331, 56330, 52444, 51234, 51167, 51096, 54482, 59714, 51625, 52210, 50899, 52640, 50309, 69366, 50890, 51782, 55801, 51625, 55354, 51224, 52768, 51120, 51138, 50927, 55720, 54751, 52084, 54139, 51289, 56354, 50899, 52640, 50309, 52640, 50314, 52236, 50297, 50936, 62890, 51782, 53221, 54701, 50836, 54662, 51167, 59212, 50882, 51096, 54482, 64595, 52432, 50899, 76646, 69366, 50890, 59212, 51508, 52329, 51120, 51014, 59212, 50894, 50927, 54886, 52119, 50899, 52640, 50309, 69366, 51879, 50297, 50821, 59212, 50882, 50945, 51052, 53813, 51234, 51235, 59212, 50950, 51096, 55311, 52284, 50899, 67431, 69366, 50887, 59212, 52964, 52555, 51120, 50806, 61592, 51138, 50927, 52677, 52163, 50899, 76646, 52236, 50314, 51879, 50297, 50940, 61615, 50948, 50945, 51805, 50890, 54734, 51460, 59480, 50893, 51113, 52024, 51395, 52024, 50945, 55311, 50823, 53502, 75205, 65982, 60191, 50809, 61592, 75269, 54818, 51279, 51030, 51011, 55720, 52119, 50956, 50884, 50900, 71610, 62060, 50859, 51085, 50936, 61592, 52512, 50964, 52715, 52444, 51247, 51354, 50945, 54482, 52284, 50900, 52640, 50307, 76646, 61768, 52304, 52741, 51279, 50923, 51011, 52677, 52163, 50900, 52640, 50307, 65982, 60191, 50809, 51085, 50893, 50964, 51331, 50800, 54734, 51354, 65619, 50930, 50945, 54482, 52244, 50900, 52640, 50307, 67431, 61768, 50887, 65619, 52153, 54392, 51279, 51021, 65619, 50858, 51011, 55720, 52119, 50900, 52640, 50307, 76646, 61768, 50809, 51085, 50936, 65619, 50821, 50964, 51331, 55395, 51247, 51354, 65619, 50882, 50945, 54482, 52284, 50900, 52640, 50307, 67431, 61768, 50887, 65619, 56832, 55268, 51279, 51021, 59212, 50936, 51011, 52677, 52163, 50900, 52640, 50307, 76646, 61768, 51804, 50292, 50948, 61592, 50806, 50964, 52715, 65175, 51107, 52024, 51165, 52024, 54662, 51160, 61615, 52282, 51096, 55311, 52244, 50899, 67431, 52640, 50314, 52207, 55447, 51120, 50923, 50927, 52677, 52119, 50899, 76646, 52236, 50314, 51879, 50297, 68052, 51331, 56341, 51234, 51379, 51096, 54482, 52940, 50899, 67431, 69366, 51864, 54755, 51120, 51021, 50927, 55720, 54178, 50899, 67431, 52640, 50314, 52236, 50297, 50936, 50945, 51331, 50880, 54662, 51167, 71078, 50858, 51096, 54482, 50823, 54569, 67431, 52236, 50314, 50890, 71078, 51508, 52329, 51120, 50923, 71078, 50882, 50927, 52677, 54179, 50899, 67431, 52236, 50314, 52640, 50297, 50806, 71078, 50821, 50945, 51331, 53813, 51234, 51160, 71078, 50859, 51375, 51446, 51096, 55311, 52284, 50899, 76646, 52640, 50314, 50930, 71078, 52153, 55268, 51120, 50923, 65619, 50882, 50927, 52677, 52163, 50899, 76646, 52640, 50314, 52236, 50297, 50921, 59212, 50894, 50945, 51805, 50884, 55881, 51460, 65619, 50823, 51088, 51991, 51395, 51991, 51105, 55311, 52244, 50956, 61473, 69366, 50809, 71078, 63576, 53516, 51026, 50948, 50953, 55720, 54179, 50956, 61473, 69366, 76361, 50893, 65210, 51235, 51186, 51331, 55395, 51197, 50975, 51105, 54482, 52284, 50956, 72115, 52640, 50314, 50887, 65210, 54196, 54411, 51026, 50924, 71078, 50821, 50953, 55720, 54178, 50956, 72115, 52236, 50314, 51804, 50302, 50893, 65619, 50821, 51186, 51331, 50890, 54662, 51235, 59212, 50882, 51107, 51446, 51154, 52024, 51096, 55311, 52244, 50899, 67431, 69366, 50890, 59212, 55043, 54392, 51120, 51030, 65619, 51033, 50927, 55720, 54684, 50899, 67431, 52236, 50314, 51879, 50297, 50921, 59212, 51021, 50945, 51805, 59653, 51113, 51077, 51093, 61086, 51247, 51500, 61592, 51033, 50945, 57759, 52284, 50900, 76646, 71610, 50887, 65619, 55968, 53595, 51279, 50923, 59212, 50936, 51011, 52677, 54178, 50900, 52640, 50307, 67431, 61768, 51804, 50292, 50940, 61592, 51033, 50964, 52715, 64961, 51107, 52024, 54662, 51175, 61615, 51285, 51165, 52024, 51096, 54482, 50823, 54569, 67431, 52640, 50314, 52207, 52329, 51120, 50806, 50927, 52677, 54179, 50899, 67431, 52640, 50314, 51879, 50297, 50865, 50945, 52715, 52565, 51234, 50991, 51096, 55311, 52284, 50899, 67431, 69366, 50890, 61615, 54444, 54755, 51120, 50911, 59212, 50893, 50927, 52677, 54178, 50899, 67431, 52236, 50314, 51879, 50297, 50893, 71078, 51016, 50945, 51331, 50887, 54662, 51235, 52123, 50880, 51783, 50887, 51722, 50887, 51096, 55311, 55267, 50855, 54569, 76646, 64923, 50890, 61615, 50948, 51783, 50809, 52123, 50880, 51722, 51421, 52329, 51120, 50923, 59212, 50806, 51722, 50809, 52123, 50890, 51783, 73117, 52677, 54179, 50899, 67431, 69366, 51879, 50297, 50948, 71078, 50896, 52123, 50890, 51783, 50887, 51722, 74564, 52715, 54957, 51234, 51235, 51783, 50887, 51722, 50887, 52123, 50880, 51096, 55311, 52284, 50899, 67431, 69366, 50890, 61615, 50911, 51783, 50890, 51722, 50890, 52123, 52633, 52555, 51120, 50923, 59212, 51033, 51783, 50887, 52123, 50880, 51722, 50890, 50927, 52677, 54178, 50899, 76646, 52236, 50314, 52236, 50297, 50858, 71078, 52195, 52123, 50882, 51783, 50859, 51722, 50887, 50945, 51052, 50887, 54197, 51427, 52123, 51745, 51783, 51226, 51584, 51226, 51567, 51541, 51113, 51077, 50945, 55311, 58197, 51722, 53227, 50899, 67431, 70463, 52207, 54392, 51120, 51021, 50927, 55720, 54179, 50899, 76646, 71610, 51879, 50297, 50923, 50686, 50326, 52097, 52123, 51285, 51555, 51291, 51612, 51472, 51722, 52195, 50945, 51331, 54459, 51026, 50980, 51088, 51446, 51165, 51264, 50953, 57759, 52940, 50899, 72115, 52640, 50314, 52304, 54411, 51120, 50923, 50927, 52677, 54178, 50899, 61473, 52640, 50314, 51804, 50292, 50940, 71078, 51237, 51612, 51566, 50964, 51805, 50890, 54662, 51160, 51154, 52024, 51096, 55311, 52244, 50899, 67431, 52236, 50314, 50890, 65619, 50923, 51567, 55110, 54818, 51120, 50923, 59212, 51030, 51722, 50882, 50927, 52677, 52119, 50899, 76646, 52640, 50314, 51879, 50297, 50940, 65619, 50936, 51567, 50890, 50945, 52715, 62256, 51113, 51077, 51093, 61086, 51247, 51460, 59212, 51033, 51722, 50821, 50945, 55311, 52284, 50900, 52640, 50307, 76646, 60191, 50809, 61592, 50975, 51584, 58101, 54411, 51279, 50923, 51011, 52677, 52163, 50871, 50846, 50900, 75205, 61768, 51731, 50292, 50948, 61615, 52195, 52123, 51977, 51722, 51896, 50964, 52715, 62959, 51165, 52024, 51107, 52024, 54662, 51175, 51096, 54482, 52244, 50899, 67431, 52236, 50314, 51864, 54818, 51120, 50923, 50927, 52677, 52119, 50899, 65982, 64923, 51879, 50297, 50893, 50945, 51331, 55395, 51234, 51175, 51096, 54482, 50860, 55989, 67431, 52236, 50314, 50890, 61615, 52964, 55510, 51120 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 19834, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 132, 73, 306, 86, 6543, 4, 20, 2214, 34, 10, 2933, 648, 1372, 16464, 6, 10686, 13, 822, 6, 8, 3136, 23, 41, 12447, 1001, 20889, 9, 12730, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 8, 272, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50630, 51050, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 51057, 50951, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50931, 50896, 53337, 52686, 50951, 50806, 64690, 50821, 50999, 53765, 51026, 50821, 51146, 52309, 51339, 50806, 51057, 51430, 52236, 50294, 53113, 51430, 52247, 51146, 52236, 50299, 52686, 51146, 50806, 51057, 51062, 51285, 75040, 53113, 50931, 50880, 53645, 52686, 50931, 50880, 75040, 53113, 50931, 56299, 50931, 50880, 53645, 52686, 50931, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 53939, 51026, 52686, 50999, 50880, 75040, 53113, 50951, 50880, 53645, 52686, 50951, 50880, 75040, 53113, 50951, 56299, 50951, 53939, 51120, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 51285, 50999, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 51057, 50931, 51285, 50999, 51285, 51062, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 51057, 50951, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50931, 50896, 53337, 52686, 50951, 50806, 64690, 50821, 50999, 53765, 51026, 50821, 51146, 52309, 51339, 50806, 51057, 51430, 52236, 50294, 53113, 51430, 52247, 51146, 52236, 50299, 52686, 51146, 50806, 51057, 51062, 51285, 75040, 53113, 50931, 50880, 53645, 52686, 50931, 50880, 75040, 53113, 50931, 56299, 50931, 50880, 53645, 52686, 50931, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 53939, 51026, 52686, 50999, 50880, 75040, 53113, 50951, 50880, 53645, 52686, 50951, 50880, 75040, 53113, 50951, 56299, 50951, 53939, 51120, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 51285, 50999, 51285, 51057, 51062, 56868, 51081, 64664, 50951, 50883, 50999, 56092, 50931, 62740, 50968, 63267, 50876, 50883, 50902, 50883, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 51057, 50931, 51285, 50999, 51285, 51062, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 51057, 50951, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50931, 50896, 53337, 52686, 50951, 50806, 64690, 50821, 50999, 53765, 51026, 50821, 51146, 52309, 51339, 50806, 51057, 51430, 52236, 50294, 53113, 51430, 52247, 51146, 52236, 50299, 52686, 51146, 50806, 51057, 51062, 51285, 75040, 53113, 50931, 50880, 53645, 52686, 50931, 50880, 75040, 53113, 50931, 56299, 50931, 50880, 53645, 52686, 50931, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 53939, 51026, 52686, 50999, 50880, 75040, 53113, 50951, 50880, 53645, 52686, 50951, 50880, 75040, 53113, 50951, 56299, 50951, 53939, 51120, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 51062, 50880, 50269, 50786, 50414, 51050, 51285, 50999, 51285, 51062, 51285, 51339, 51285, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 278, 11, 10, 7212, 204, 73, 306, 86, 6543, 8, 3744, 15, 13305, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 538, 8, 1575, 10, 33215, 13931, 9, 230, 406, 6, 274, 6, 211, 119, 6, 230, 406, 6, 8, 1918, 406, 4, 590, 10, 13428, 9, 24543, 2397, 6, 24, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 20425, 7, 19448, 8, 1372, 6, 442, 24, 10686, 13, 304, 11, 822, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50796, 50796, 50461, 51247, 51717, 50871, 51043, 54852, 51337, 50900, 51423, 50956, 68684, 50956, 51174, 50423, 50861, 50904, 53645, 63100, 54181, 50861, 69179, 70237, 50862, 54197, 70250, 50899, 51194, 71869, 50871, 51212, 50997, 51330, 64309, 52921, 50871, 63100, 65450, 50899, 53040, 61700, 50439, 50899, 50854, 73249, 51601, 50900, 61582, 64442, 50942, 50416, 51050, 56554, 50956, 53803, 57002, 50427, 51001, 59909, 51001, 59772, 53894, 61233, 50902, 62236, 67666, 78933, 52846, 50876, 64514, 67164, 50956, 51129, 55694, 75198, 50978, 65882, 53049, 72733, 50871, 61895, 50959, 57267, 64912, 51008, 50451, 50899, 60263, 50925, 51086, 66878, 50987, 51809, 50956, 51177, 76518, 50877, 51177, 51050, 50959, 50900, 51645, 50423, 50861, 50904, 73343, 63100, 50833, 50956, 62293, 50956, 73045, 51682, 50301, 70570, 50871, 51111, 50900, 51124, 50458, 62007, 54197, 51309, 65882, 59537, 57069, 51458, 50302, 51233, 64309, 50904, 53645, 76869, 61895, 62391, 54181, 78679, 58893, 74654, 51601, 68452, 50416, 50900, 51682, 50297, 71674, 50878, 50427, 60742, 51001, 57181, 51001, 60951, 54077, 61673, 61233, 50446, 50902, 54276, 50876, 64608, 73119, 50956, 51258, 54197, 52168, 72421, 65882, 51047, 50899, 51244, 51601, 51050, 50362, 50410, 50416, 50861, 51244, 51001, 51058, 50425, 50902, 50987, 59409, 50972, 50440, 51247, 51884, 50956, 61211, 50441, 50877, 59960, 75973, 51809, 51234, 63532, 74850, 51542, 50899, 54228, 58319, 51212, 69332, 51177, 51176, 56123, 50440, 50899, 51542, 50441, 51324, 51400, 50454, 67666, 51601, 51085, 55584, 50997, 51737, 50416, 51001, 61434, 51542, 50956, 63667, 50424, 74952, 50431, 72917, 50439, 51085, 58483, 51247, 55778, 50877, 51419, 50440, 50956, 54228, 50454, 50876, 51753, 54662, 60237, 50902, 52015, 50877, 52256, 50421, 51050, 58468, 78414, 52059, 50436, 50861, 53280, 50437, 50900, 50359, 50397, 50452, 60158, 50461, 51085, 52460, 55435, 54298, 51001, 50978, 74354, 51542, 50956, 74478, 50423, 50902, 70258, 50876, 51337, 50437, 51247, 53096, 50439, 51085, 53161, 75473, 50956, 51381, 50455, 50876, 53010, 51601, 51120, 67852, 50900, 58483, 50877, 51679, 50416, 50931, 51109, 50431, 50902, 64938, 50871, 57826, 50439, 51214, 63532, 50440, 50906, 51419, 51120, 60326, 50861, 50995, 50454, 50871, 64833, 50899, 50904, 54955, 54344, 51085, 56123, 50415, 50916, 52256, 50861, 51480, 50997, 56374, 50422, 50877, 51642, 50430, 50906, 55666, 51247, 55197, 50877, 51423, 50956, 51679, 50439, 51085, 64399, 50447, 50861, 51642, 51027, 52482, 50454, 50871, 52431, 54662, 70316, 50906, 63160, 50899, 52212, 50997, 66924, 51050, 66924, 50440, 51050, 78878, 59856, 57923, 57682, 69355, 51085, 50932, 50422, 50902, 52921, 50876, 51312, 50956, 51797, 50433, 51085, 59948, 51247, 51419, 64574, 51412, 50877, 59881, 50956, 62614, 50943, 50458, 51247, 50839, 54578, 51807, 50278, 51391, 50899, 60326, 53337, 51568, 50290, 50891, 50861, 62089, 50871, 55965, 54637, 51679, 50445, 51086, 68469, 54086, 51324, 64853, 51214, 72680, 78693, 51085, 50915, 57923, 55143, 51097, 50421, 50956, 66031, 51214, 50932, 50428, 50876, 56789, 64144, 79471, 52192, 50433, 70178, 50437, 50877, 51191, 50956, 51178, 51247, 51097, 50449, 52206, 51109, 60040, 50956, 62659, 53492, 51466, 55331, 60598, 51241, 50871, 60324, 50931, 51218, 51234, 64938, 51050, 51097, 65281, 59783, 51233, 50438, 51234, 51419, 50446, 50902, 51253, 75552, 50877, 51738, 64057, 50982, 51050, 63917, 51214, 63105, 74166, 57923, 51124, 50861, 51295, 52206, 51477, 50421, 50956, 51108, 50425, 50902, 53466, 51085, 52927, 51214, 67592, 70178, 50437, 50956, 51121, 50877, 71442, 51247, 50943, 50449, 55123, 54323, 60437, 50956, 67557, 51247, 60870, 51799, 51267, 50877, 51191, 50931, 51175, 59412, 51279, 51466, 60718, 63307, 51194, 63808, 51448, 50861, 51218, 51214, 52441, 50449, 51026, 62223, 50871, 62309, 50899, 50863, 54594, 51043, 50916, 51255, 52206, 51109, 50421, 73822, 66345, 51481, 50900, 51277, 50425, 51085, 57903, 50906, 58628, 59948, 51247, 51961, 50956, 51115, 60496, 50901, 67655, 51178, 51027, 75926, 51085, 67827, 50871, 51397, 71910, 51677, 79281, 50899, 51807, 50302, 51645, 56759, 51128, 57019, 51682, 50302, 79836, 50839, 54852, 58520, 51121, 50900, 51400, 51085, 58115, 50861, 55797, 50956, 52514, 50426, 51247, 74265, 62821, 59844, 61868, 51050, 65335, 51581, 50301, 53018, 50956, 61495, 51247, 53938, 50871, 67159, 74884, 58222, 54578, 51212, 50877, 51194, 50899, 51177, 51234, 52666, 50302, 52011, 50421, 50861, 53881, 51247, 50874, 50877, 66229, 59948, 50861, 54431, 68070, 50899, 51604, 50297, 65673, 51247, 50955, 54197, 51267, 50871, 73456, 50874, 50956, 50977, 50425, 51247, 54335, 57002, 51001, 60093, 51001, 59383, 50877, 51258, 50436, 51214, 51328, 50437, 50902, 52841, 50877, 54207, 50902, 62955, 50876, 57669, 51177, 51279, 51806, 50457, 50956, 59546, 51234, 51412, 50871, 51056, 55694, 51337, 79143, 57911, 50897, 53337, 50987, 50437, 50861, 54773, 70537, 53492, 54276, 50965, 51962, 50279, 50959, 51086, 50878, 50899, 61980, 50942, 51324, 79076, 50956, 51255, 50877, 51194, 53997, 53130, 50301, 51242, 50871, 51043, 50421, 58219, 50425, 51050, 62847, 53548, 61133, 50956, 59948, 51247, 54077, 50861, 51100, 50956, 64860, 51027, 51609, 50297, 50878, 54852, 61566, 51178, 51234, 51051, 80237, 50997, 50981, 64309, 54325, 51050, 60951, 67504, 61360, 51247, 50822, 50861, 54181, 50899, 50854, 50997, 70936, 51050, 50942, 53997, 50933, 68452, 50900, 52386, 50307, 57629, 51050, 51481, 65473, 60742, 50433, 51001, 62055, 59701, 64062, 51214, 79670, 54840, 71363, 50449, 51279, 51400, 50876, 58800, 71978, 50956, 52611, 50461, 69429, 50871, 51689, 50290, 51210, 59412, 69540, 51247, 61868, 50906, 66867, 52434, 50278, 50866, 54734, 52140, 70647, 70330, 50956, 51824, 50422, 50902, 50901, 50430, 50876, 54123, 51050, 55776, 50956, 51283, 78201, 51121, 75312, 51233, 54662, 54521, 70836, 50899, 51419, 79580, 51100, 50436, 51176, 51330, 50437, 51324, 58134, 51255, 55898, 51391, 50453, 50902, 57023, 50956, 51627, 50460, 50861, 51295, 50997, 52460, 51085, 52056, 50461, 51001, 50905, 56020, 50902, 51470, 50429, 79844, 50437, 51247, 53957, 51085, 53957, 60496, 51134, 50956, 54211, 50453, 75023, 50460, 51234, 52528, 50902, 51422, 50461, 50877, 51419, 52591, 51050, 52783, 50427, 73249, 50428, 73306, 50437, 50861, 51637, 50900, 50359, 50398, 50452, 67666, 51601, 51085, 53697, 51001, 50959, 50416, 50997, 55789, 50861, 51419, 50417, 50956, 53577, 50423, 50902, 50977, 50431, 50876, 73320, 51247, 51466, 78201, 65227, 52019, 50292, 52618, 50451, 50876, 51253, 58359, 51148, 50877, 51542, 50415, 50931, 51003, 78740, 60012, 50871, 57826, 63808, 51391, 80235, 51214, 77092, 50454, 50871, 63152, 50899, 50886, 55524, 51318, 50861, 51377, 52206, 51419, 50422, 79378, 50430, 51085, 51318, 50906, 57514, 50877, 51423, 50956, 51775, 50438, 51247, 51576, 67655, 51121, 51027, 51277, 50453, 50871, 51677, 50460, 51234, 55586, 50461, 50899, 51244, 50906, 51244, 51050, 54829, 50997, 56308, 50796, 50449, 50902, 64098, 51085, 66985, 50833, 54594, 50925, 50421, 71363, 50422, 50956, 55656, 79844, 51214, 51709, 50437, 80239, 64574, 51542, 51247, 54980, 52206, 51709, 50457, 50861, 50978, 54578, 51619, 50278, 51477, 63715, 51412, 54439, 64458, 51247, 54927, 51086, 50878 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 11, 230, 10431, 3694, 6, 4246, 10, 33215, 16739, 9, 1918, 1176, 406, 6, 230, 10431, 119, 6, 8, 163, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 16, 686, 7, 120, 47, 1375, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 73984, 51378, 64404, 59625, 56036, 77821, 51492, 51040, 51492, 50989, 51492, 50877, 75361, 51966, 52296, 51378, 64404, 59625, 56036, 51631, 51966, 51628, 51378, 64404, 59625, 56036, 53505, 51966, 52831, 51378, 64404, 59625, 56036, 51918, 51966, 51757, 73984, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51378, 64404, 59625, 56036, 50795, 62368, 51835, 73984, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51378, 64404, 59625, 56036, 53505, 51966, 51724, 51378, 64404, 59625, 56036, 51918, 51966, 52513, 51378, 64404, 59625, 56036, 51798, 51966, 51754, 73984, 51378, 64404, 59625, 56036, 54093, 73984, 62368, 50800, 51378, 64404, 59625, 56036, 77821, 51492, 51040, 51492, 50989, 51492, 50877, 75361, 51966, 52296, 51378, 64404, 59625, 56036, 51631, 51966, 51628, 51378, 64404, 59625, 56036, 53505, 51966, 52831, 51378, 64404, 59625, 56036, 51918, 51966, 51757, 73984, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51378, 64404, 59625, 56036, 50795, 62368, 51835, 73984, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51378, 64404, 59625, 56036, 53505, 51966, 51724, 51378, 64404, 59625, 56036, 51918, 51966, 52513, 51378, 64404, 59625, 56036, 51798, 51966, 51754, 73984, 51378, 64404, 59625, 56036, 54093, 73984, 58066, 75008, 56931, 59625, 56036, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 68631, 51086, 56931, 59625, 56036, 51631, 51324, 52765, 51220, 51628, 51086, 56931, 59625, 56036, 53505, 51324, 79594, 52831, 51086, 56931, 59625, 56036, 51918, 51324, 50800, 51147, 51757, 51324, 50800, 68631, 51086, 56931, 59625, 56036, 51923, 51324, 52567, 51324, 61441, 59625, 56036, 57981, 50795, 54868, 61441, 51036, 50989, 51036, 50877, 51036, 51028, 56100, 51120, 61441, 59625, 56036, 57981, 53471, 51114, 51620, 51120, 52765, 51220, 61441, 59625, 56036, 57981, 53505, 51120, 79594, 51724, 50899, 59625, 56036, 57981, 51918, 51120, 50800, 51147, 52513, 50899, 59625, 56036, 57981, 51798, 51120, 50800, 51114, 51754, 51120, 61441, 59625, 56036, 57981, 54093, 51120, 50800, 62368, 50800, 51378, 64404, 59625, 56036, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 56100, 51966, 52296, 68631, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51220, 51628, 51378, 64404, 59625, 56036, 53505, 73984, 50999, 52831, 51378, 64404, 59625, 56036, 51918, 73984, 51147, 51757, 73984, 68631, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51315, 68339, 57341, 56962, 50795, 60963, 50800, 51315, 51036, 51086, 51036, 50916, 51036, 50965, 56100, 70861, 51315, 68339, 57341, 56962, 53471, 51114, 51620, 51841, 52765, 73578, 51315, 68339, 57341, 56962, 53505, 70861, 50999, 51724, 51315, 68339, 57341, 56962, 51918, 70861, 51147, 52513, 51315, 68339, 57341, 56962, 51798, 70861, 51114, 51754, 70861, 51315, 68339, 57341, 56962, 54093, 70861, 58066, 75008, 56931, 59625, 56036, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 68631, 51086, 56931, 59625, 56036, 51631, 51324, 52765, 51220, 51628, 51086, 56931, 59625, 56036, 53505, 51324, 79594, 52831, 51086, 56931, 59625, 56036, 51918, 51324, 50800, 51147, 51757, 51324, 50800, 68631, 51086, 56931, 59625, 56036, 51923, 51324, 52567, 51324, 61441, 59625, 56036, 57981, 50795, 54868, 61441, 51036, 50989, 51036, 50877, 51036, 51028, 56100, 51120, 61441, 59625, 56036, 57981, 53471, 51114, 51620, 51120, 52765, 51220, 61441, 59625, 56036, 57981, 53505, 51120, 79594, 51724, 50899, 59625, 56036, 57981, 51918, 51120, 50800, 51147, 52513, 50899, 59625, 56036, 57981, 51798, 51120, 50800, 51114, 51754, 51120, 61441, 59625, 56036, 57981, 54093, 51120, 50800, 62368, 50800, 51378, 64404, 59625, 56036, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 56100, 51966, 52296, 68631, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51220, 51628, 51378, 64404, 59625, 56036, 53505, 73984, 50999, 52831, 51378, 64404, 59625, 56036, 51918, 73984, 51147, 51757, 73984, 68631, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51315, 57341, 56962, 56190, 50795, 60963, 50800, 51315, 51036, 50916, 51036, 50965, 51036, 50973, 56100, 70861, 51315, 57341, 56962, 56190, 53471, 51114, 51620, 51841, 52765, 73578, 51315, 57341, 56962, 56190, 53505, 70861, 50999, 51724, 51315, 57341, 56962, 56190, 51918, 70861, 51147, 52513, 51315, 57341, 56962, 56190, 51798, 70861, 51114, 51754, 70861, 51315, 57341, 56962, 56190, 54093, 70861, 60497, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 57289, 56931, 51036, 50989, 51036, 50877, 51036, 51028, 61899, 50968, 53505, 50968, 54789, 51147, 53658, 50999, 51923, 50999, 50795, 60497, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 62856, 77531, 51036, 51086, 51036, 50916, 51036, 50965, 61899, 51147, 53505, 51147, 54789, 51220, 53658, 51399, 51923, 51430, 50795, 60497, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 57289, 56931, 51036, 50989, 51036, 50877, 51036, 51028, 61899, 50968, 53505, 50968, 54789, 51147, 53658, 50999, 51923, 50999, 50795, 60497, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 58479, 77531, 51036, 50916, 51036, 50965, 51036, 50973, 61899, 50999, 53505, 51430, 54789, 51399, 53658, 51430, 51923, 51787, 50795, 58066, 75008, 56931, 59625, 56036, 61907, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 51086, 56931, 59625, 56036, 51631, 51324, 50800, 51114, 51736, 51086, 56931, 59625, 56036, 53505, 51324, 50800, 51114, 54789, 51086, 56931, 59625, 56036, 66107, 51918, 51324, 52513, 51399, 51798, 51324, 75008, 56931, 59625, 56036, 51923, 51324, 50800, 51399, 54093, 51324, 61441, 59625, 56036, 57981, 50795, 54868, 50800, 50968, 56931, 51036, 50989, 51036, 50877, 51036, 51028, 56100, 51120, 61441, 59625, 56036, 57981, 51631, 51120, 50800, 50968, 54253, 50899, 59625, 56036, 57981, 53505, 51120, 50800, 50968, 51646, 50899, 59625, 56036, 57981, 54789, 51147, 51918, 51120, 52513, 50899, 59625, 56036, 57981, 57883, 51798, 51120, 51754, 51120, 61441, 59625, 56036, 57981, 57883, 54093, 51120, 50800, 62368, 50800, 51378, 64404, 59625, 56036, 61907, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 56100, 51966, 52296, 51378, 64404, 59625, 56036, 51631, 73984, 51114, 51736, 51378, 64404, 59625, 56036, 53505, 73984, 51114, 54789, 51378, 64404, 59625, 56036, 66107, 51918, 51966, 52513, 51399, 51798, 73984, 51378, 64404, 59625, 56036, 51923, 73984, 51399, 54093, 73984, 51315, 68339, 57341, 56962, 50795, 60963, 50800, 51147, 77531, 51036, 51086, 51036, 50916, 51036, 50965, 56100, 70861, 51315, 68339, 57341, 56962, 51631, 70861, 51147, 54253, 51315, 68339, 57341, 56962, 53505, 70861, 51147, 51646, 51315, 68339, 57341, 56962, 54789, 51220, 51918, 51841, 52513, 51315, 68339, 57341, 56962, 74213, 51798, 51841, 51754, 70861, 51315, 68339, 57341, 56962, 65799, 54093, 70861, 58066, 75008, 56931, 59625, 56036, 61907, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 51086, 56931, 59625, 56036, 51631, 51324, 50800, 51114, 51736 ]
[ 0, 713, 14899, 3495, 3152, 8859, 22750, 1626, 11098, 8, 1007, 6, 1969, 13, 2365, 50, 33558, 9629, 4, 590, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 5, 13305, 3315, 5, 33301, 6, 2800, 30, 5, 6878, 20535, 2810, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 42, 765, 2214, 1575, 10, 33215, 16739, 9, 272, 6, 3676, 6, 1918, 6, 8, 211, 119, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 57428, 51172, 56222, 55162, 61825, 54578, 63422, 51458, 50287, 50995, 51443, 50915, 61240, 50959, 51206, 50839, 53158, 52917, 67558, 59755, 77627, 53110, 52667, 50871, 50808, 51026, 52019, 50287, 51381, 51443, 51562, 50433, 50798, 54049, 53116, 50856, 52875, 50871, 51654, 64684, 50856, 53083, 51026, 55591, 58974, 50856, 53173, 66457, 51443, 59260, 50820, 54578, 50812, 62419, 51085, 51097, 50964, 51542, 50927, 56162, 52816, 52871, 50856, 52870, 50871, 58204, 54792, 59190, 52209, 51085, 68996, 60386, 56500, 57201, 50964, 50983, 57019, 51255, 79724, 72476, 52129, 56500, 53533, 51085, 50874, 50861, 51238, 50816, 58974, 50856, 53173, 50856, 58544, 50964, 50822, 54578, 50800, 51247, 78145, 57829, 50945, 59084, 50833, 53158, 52639, 50900, 51412, 50871, 51221, 50877, 51412, 50816, 59953, 50856, 53230, 51247, 51679, 50433, 50945, 51562, 50856, 53871, 53894, 50856, 53044, 50900, 51363, 50871, 51116, 50877, 51412, 50445, 74274, 53533, 51247, 69305, 50816, 55768, 52738, 50900, 68826, 50945, 50364, 51024, 50846, 51601, 52855, 52526, 65597, 50964, 54657, 51085, 50874, 62972, 61022, 50861, 56485, 64729, 52306, 50835, 54409, 50904, 51776, 62488, 50964, 53383, 51085, 50827, 75716, 64385, 50861, 61185, 63135, 50964, 50857, 51776, 50864, 52306, 50867, 54409, 53998, 51085, 50912, 74094, 64410, 59663, 51776, 50864, 54409, 50864, 52306, 53831, 59093, 50964, 52781, 51085, 50827, 50964, 50836, 51776, 50813, 54409, 50836, 52306, 53228, 54815, 51085, 50851, 75475, 64385, 64444, 50964, 50855, 51776, 50867, 52306, 50855, 54409, 77794, 61587, 50964, 52800, 51085, 50851, 75475, 70088, 62007, 54409, 50809, 52306, 50887, 51776, 50862, 52991, 71191, 72091, 54409, 50940, 51224, 52920, 51085, 50827, 60906, 65200, 60192, 50964, 50867, 51776, 50940, 52306, 50950, 52991, 50825, 54852, 51962, 50285, 52845, 50297, 50995, 50945, 51003, 51206, 56583, 53049, 50877, 61858, 62530, 51255, 79725, 62579, 53644, 50876, 51073, 51247, 52256, 51050, 51419, 50945, 51218, 50433, 50798, 52675, 59901, 52261, 55513, 60540, 56876, 67031, 50877, 57394, 53340, 56385, 51050, 70792, 50964, 54384, 52153, 53685, 60906, 67977, 57472, 50457, 50964, 50867, 52112, 50458, 50945, 50891, 54868, 51003, 74354, 51218, 50927, 58249, 51420, 61553, 51718, 50963, 52976, 50899, 60241, 70866, 71491, 50887, 62579, 53644, 51120, 60733, 50871, 50901, 50927, 59554, 50855, 52574, 50963, 52904, 51120, 69641, 52093, 57428, 50910, 50899, 60236, 57669, 56777, 62426, 50927, 51373, 54357, 52772, 51120, 50854, 61700, 51011, 56949, 52153, 56086, 50843, 54038, 60501, 50871, 50808, 62804, 56756, 50927, 50867, 52093, 55694, 51116, 51214, 50915, 50953, 51241, 76935, 54796, 62503, 51340, 50963, 63026, 50816, 52675, 53516, 50906, 74156, 58263, 58204, 58376, 64161, 50798, 53340, 53230, 51214, 50907, 51026, 50874, 50906, 51400, 50953, 51141, 50437, 70658, 51214, 52104, 50299, 50974, 50443, 50861, 66646, 53340, 53806, 50899, 57864, 58801, 50845, 74004, 53409, 51026, 50892, 50927, 55591, 67230, 52093, 50456, 69308, 60569, 68573, 68459, 53997, 50995, 50964, 51351, 76935, 62833, 50871, 79158, 57987, 50916, 51358, 50425, 50816, 52329, 50900, 60817, 58532, 56901, 54357, 53670, 51085, 53970, 53340, 57201, 50964, 51189, 62275, 50974, 52261, 55513, 64233, 57094, 54035, 51750, 52396, 51085, 56758, 72860, 51019, 53065, 54357, 54038, 50900, 50822, 67597, 50861, 51589, 57735, 51019, 50810, 54960, 50859, 51279, 52845, 50301, 51108, 51011, 50995, 58005, 50415, 58471, 51039, 52992, 50876, 72891, 65480, 60015, 50995, 55610, 53230, 51279, 50907, 68719, 50876, 51073, 51011, 62343, 52873, 53418, 51279, 52216, 50301, 51079, 51340, 50963, 53858, 50900, 64233, 58800, 53284, 58500, 68485, 76400, 50873, 51019, 53111, 54473, 62267, 52112, 72407, 50874, 64001, 57472, 51011, 50810, 54868, 50995, 50927, 55859, 53662, 54796, 55916, 79269, 51039, 57550, 50816, 50887, 53337, 59782, 57543, 56901, 61749, 50877, 52658, 51120, 54784, 52938, 52942, 59118, 50871, 50977, 76786, 50437, 51782, 50963, 52904, 51120, 50905, 50443, 50791, 53675, 50871, 63891, 58520, 56036, 50892, 70943, 50449, 50861, 51589, 53711, 51120, 50874, 51011, 54384, 61519, 50877, 53199, 53685, 60501, 50871, 50800, 62804, 50927, 59854, 50791, 50884, 55694, 51267, 51214, 50915, 50953, 68539, 72294, 50791, 62518, 50816, 52304, 53516, 50877, 67954, 63925, 60597, 57421, 51214, 50907, 65113, 50861, 51400, 50953, 60194, 54749, 61169, 62246, 51026, 51644, 50287, 51645, 50443, 50791, 55933, 50899, 51203, 50861, 51255, 50906, 51203, 50871, 51112, 50449, 50927, 53938, 51026, 52808, 53412, 59310, 50953, 54424, 60501, 61700, 50906, 54225, 57430, 50861, 51346, 50461, 51713, 50955, 52366, 50897, 52991, 50987, 53997, 51097, 50964, 51204, 50791, 54162, 64540, 62239, 51713, 51177, 52366, 51060, 52991, 51178, 53523, 65480, 58532, 57691, 52675, 54151, 51085, 53156, 68487, 50964, 51446, 58471, 50437, 51776, 51446, 52306, 51472, 54409, 51291, 50438, 59755, 51085, 50974, 50439, 52261, 50444, 56756, 50900, 61432, 57094, 61366, 59084, 62885, 50791, 54755, 51085, 55591, 54663, 50900, 50854, 61205, 75105, 56437, 50964, 54384, 50884, 53206, 50930, 54960, 51116, 51279, 52026, 50301, 50995, 51011, 56001, 50942, 51206, 51031, 50421, 51762, 56207, 67843, 65480, 60015, 72260, 59485, 50791, 54151, 51279, 50912, 51027, 50810, 51011, 62343, 62089, 50876, 51896, 50791, 53418, 51279, 50984, 51027, 74578, 52105, 55513, 59487, 56036, 57685, 53340, 61576, 51019, 54185, 51027, 54384, 51049, 63318, 51011, 52863, 50900, 50822, 64001, 79944, 57810, 52261, 50461, 50927, 51241, 54868, 56901, 53690, 50812, 50416, 50871, 51346, 51039, 52905, 50871, 51238, 50899, 60015, 51003, 53659, 56999, 50871, 57066, 51120, 54923, 62089, 50927, 77392, 54968, 51120, 50822, 50861, 51377, 50439, 52093, 55989, 57934, 58696, 55732, 64522, 50450, 51120, 59035, 51377, 51011, 55897, 51049, 53563, 50899, 59844, 50859, 56756, 50927, 51559, 50828, 54795, 51534, 50906, 51346, 50953, 51204, 50791, 54749, 50859, 51039, 59824, 65997, 50816, 53425, 59285, 50899, 59292, 54042, 56499, 51026, 53513, 51214, 50984, 50871, 73717, 53330, 57201, 50953, 51218, 62322, 50822, 51214, 50838, 52093, 50443, 50791, 53885, 50899, 57864, 58801, 55998, 54185, 51026, 78659, 53065, 53412, 51754, 69308, 56437, 66768, 50953, 51373, 53902, 51085, 51097, 55694, 68152, 51241, 51776, 50867, 52366, 50836, 52991, 51559, 54162, 59078, 62518, 50816, 50887, 53523, 51255, 68575, 50861, 51255, 50906, 50807, 51776, 51043, 52991, 51178, 52366, 51111, 52306, 51833, 52975, 51085, 50912, 50964, 63732, 51559, 61808, 51776, 50971, 52366, 53945, 51085, 51589, 56068, 50877, 50805, 50443, 51776, 62067, 54840, 50900, 59487, 55143, 52808, 65266, 50861, 50892, 50449, 50816, 54596, 51085, 50822, 50953, 51373, 60715, 52112, 72407, 50874, 65200, 57660, 50871, 54484, 50964, 59854, 50791, 55146, 50808, 54734, 50995, 50945, 51351, 51683, 52151, 51713, 52071, 52002, 51313, 50419, 52112, 50425, 50816, 52207, 50949, 53523, 59844, 70866, 57421, 51247, 53156, 54749, 54845, 60002, 50945, 71161, 51247, 50827, 52112, 50443, 50798, 55489, 50900, 59198, 58696, 52839, 53711, 51247, 55897, 52207, 55021, 57136, 50964, 75635, 50791, 52349, 60906, 74166, 57810, 50964, 56834, 73606, 54734, 51022, 51050, 50907, 50900, 51123, 50877, 50370 ]
[ 0, 250, 1144, 26016, 3495, 2214, 14, 22750, 1626, 11098, 8, 657, 149, 63, 11653, 34879, 4, 590, 10, 20889, 9, 3337, 13410, 228, 2289, 6, 24, 11498, 10, 16634, 178, 5285, 2877, 11, 204, 73, 306, 86, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 3459, 9590, 6, 3152, 6757, 6, 8, 258, 2382, 8, 30587, 3459, 29589, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 83, 401, 6, 381, 406, 6, 8, 83, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50446, 51622, 61208, 53964, 51354, 50458, 52375, 51014, 58359, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 52874, 51388, 63596, 55146, 51134, 52653, 51335, 52096, 50418, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 52874, 52097, 63596, 52374, 57818, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51014, 51545, 51014, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 51191, 52653, 50430, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 78137, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51213, 51014, 51482, 51014, 51545, 51014, 51617, 50962, 51982, 50962, 54488, 55146, 62017, 50438, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 63596, 55146, 51397, 52653, 50442, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50446, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 52874, 51014, 63596, 52374, 58248, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51415, 51014, 51482, 51014, 51545, 51014, 52874, 51354, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 51191, 52653, 50454, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 75183, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51545, 51014, 51622, 51014, 51617, 50962, 51982, 50962, 54488, 52374, 50959, 58359, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 53964, 52311, 63596, 55146, 51134, 52653, 50418, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 63596, 52374, 57818, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51014, 51545, 51014, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50430, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 78137, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51213, 51014, 51482, 51014, 51545, 51014, 51617, 50962, 51982, 50962, 54488, 55146, 62017, 50438, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 63596, 55146, 51397, 52653, 50442, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50446, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 52874, 51014, 63596, 52374, 58248, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51415, 51014, 51482, 51014, 51545, 51014, 52874, 51354, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 51191, 52653, 50454, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 75183, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51545, 51014, 52874, 51014, 51617, 50962, 51982, 50962, 54488, 52374, 50959, 54795, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50953, 51014, 51368, 51014, 51195, 51014, 52874, 51354, 57969, 55146, 51134, 52653, 50418, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50422, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50953, 51014, 51368, 51014, 51195, 51014, 52375, 51527, 57969, 52374, 57818, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51186, 51014, 51368, 51014, 51350, 51014, 53706, 50962, 55943, 50962, 64138, 50962, 52333, 50962, 51982, 50962, 52836, 56106, 51191, 52653, 50430, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 78137, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51415, 51014, 51368, 51045, 51350, 51045, 52333, 50962, 51982, 50962, 52836, 55146, 62017, 50438, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51271, 51014, 51368, 51045, 51195, 51045, 57969, 55146, 51397, 52653, 50442, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50446, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51271, 51014, 51368, 51045, 51195, 51045, 52874, 51014, 57969, 52374, 58248, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51817, 51014, 51368, 51045, 51350, 51045, 52874, 51354, 53706, 50962, 55943, 50962, 64138, 50962, 52333, 50962, 51982, 50962, 52836, 56106, 50914, 52653, 50454, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 75183, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51271, 51014, 51368, 51045, 51350, 51045, 52341, 51014, 52333, 50962, 51982, 50962, 52836, 52374, 50959, 58359, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 51622, 52311, 63596, 55146, 51134, 52653, 50418, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 63596, 52374, 57818, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51045, 51545, 51045, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50430, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 78137, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51213, 51014, 51482, 50823, 51545, 50823, 51617, 50962, 51982, 50962, 54488, 55146, 62017, 50438, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 50823, 51265, 50823, 63596, 55146, 51397, 52653, 50442, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50446, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 50823, 51265, 50823, 51622, 51014, 63596, 52374, 58248, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51415, 51014, 51482, 50823, 51545, 50823, 53964, 51388, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50454, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 75183, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 50823, 51545, 50823, 52375, 51014, 51617, 50962, 51982, 50962, 54488, 52374, 50959, 58359, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 52874, 51354, 63596, 55146, 51134, 52653, 50418, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 52874, 52097, 63596, 52374, 57818, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51045, 51545, 51045, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50430, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 50434, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 51213, 51045, 51482, 50823, 51545, 50823, 51617, 51010, 51982, 51010, 54488, 55719, 62017, 50438, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 51011, 51045, 51482, 50823, 51265, 50823, 63596, 55719, 51134, 52653, 50442, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 50446, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 51011, 51045, 51482, 50823, 51265, 50823, 52874, 51045, 63596, 51010, 52653, 50450 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 6755, 12547, 6, 4401, 757, 3178, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 70, 567, 561, 7, 1045, 10, 32625, 3618, 13569, 9862, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 6717, 50, 190, 10, 1619, 2749, 6, 19, 5, 2125, 25451, 11, 5, 762, 9, 230, 538, 23, 10, 182, 1769, 20889, 9, 22871, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50642, 50903, 76660, 51003, 50461, 51119, 51010, 51144, 51010, 51656, 51551, 60859, 50932, 51768, 51003, 50437, 51429, 50930, 52187, 51148, 59015, 50932, 51099, 50930, 51955, 59827, 51119, 51717, 51153, 52250, 50458, 51198, 52644, 51280, 53454, 51144, 55068, 51708, 53082, 53447, 51226, 52506, 51177, 51711, 53753, 51881, 52096, 52133, 52121, 51743, 51801, 53389, 52337, 61890, 57821, 50810, 51544, 71648, 51181, 50921, 52095, 51163, 52729, 50804, 51420, 50974, 67746, 51008, 52320, 51328, 50458, 51181, 58582, 51008, 51755, 59249, 50791, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51349, 53877, 50812, 57080, 70799, 52279, 54796, 65756, 50791, 61094, 51416, 55236, 54626, 51349, 51194, 50843, 52304, 51277, 50458, 52799, 51163, 50878, 53447, 51141, 54524, 70561, 50874, 51144, 52598, 50416, 51708, 54829, 50419, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51181, 50952, 53550, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 57268, 57821, 74651, 52033, 51244, 52187, 51313, 53053, 50991, 54524, 51429, 51029, 51099, 51274, 53541, 51244, 51615, 51313, 70561, 50874, 51869, 50873, 51232, 51121, 50419, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 52599, 51137, 54780, 54796, 50805, 52040, 67166, 51232, 62885, 50791, 61094, 51844, 58332, 51137, 59964, 52304, 51277, 50457, 51198, 53002, 51280, 52570, 51144, 52250, 51708, 52024, 57268, 57821, 74651, 51743, 52829, 51881, 52337, 52133, 52121, 53447, 51226, 54524, 53389, 51801, 70561, 76687, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 51181, 58630, 52841, 50804, 54796, 66326, 50668, 50341, 50882, 50440, 61961, 52122, 50445, 50791, 52848, 50843, 52304, 51277, 50458, 51181, 58582, 50878, 51755, 59249, 50791, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51349, 50844, 57080, 70799, 52279, 54796, 65756, 50791, 61094, 51416, 53484, 51349, 51194, 50843, 52304, 51277, 57268, 57821, 65264, 51708, 50873, 53447, 51091, 54524, 52036, 56515, 51656, 57820, 51711, 53233, 70561, 50874, 51280, 51255, 50419, 50843, 60171, 50801, 57162, 55266, 51198, 52483, 50843, 77554, 51144, 60952, 50791, 59979, 51181, 53703, 52841, 51181, 61711, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 50457, 55288, 50896, 50458, 51181, 63798, 50878, 53447, 50991, 54524, 54379, 51162, 70561, 50874, 51144, 50962, 51119, 76249, 50843, 50862, 55429, 50844, 54775, 52524, 50843, 50897, 52789, 50955, 64821, 52599, 51181, 51356, 50804, 54796, 50805, 52187, 51446, 50439, 51099, 50880, 51429, 51010, 53541, 51095, 51615, 51127, 52033, 51363, 50445, 50791, 52848, 50843, 52304, 51277, 50458, 51684, 61468, 57821, 50878, 51119, 52149, 51153, 51492, 50459, 51198, 53520, 51144, 52250, 51280, 53520, 51708, 52122, 50461, 51881, 52096, 53447, 51226, 54524, 51743, 51801, 52133, 52250, 70561, 76687, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 51181, 58630, 52841, 50804, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 50458, 51181, 58582, 50878, 51755, 59249, 50791, 50874, 50416, 60018, 50810, 52789, 51801, 50418, 55288, 56235, 50419, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51349, 50844, 57080, 70799, 52279, 54796, 65756, 50791, 61094, 51416, 53484, 51349, 51194, 50843, 52304, 51277, 57268, 57821, 50878, 53447, 51290, 54524, 51711, 51939, 51656, 55490, 52036, 52335, 53389, 52431, 70561, 50874, 51153, 50806, 51144, 51003, 51435, 50795, 51119, 77352, 51708, 50981, 50419, 50843, 50862, 55429, 55266, 77134, 51435, 50942, 51119, 52710, 50843, 50897, 64821, 52599, 50804, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 50458, 51844, 54020, 57821, 74651, 53541, 51518, 73331, 52187, 51445, 52033, 51662, 54379, 51603, 52789, 51238, 53053, 50918, 54524, 70561, 76687, 50843, 63630, 54775, 51051, 55429, 53450, 50843, 50897, 52789, 64662, 50791, 61055, 51429, 56341, 51137, 60114, 54796, 50805, 51099, 50880, 52040, 50930, 51232, 65804, 50791, 52848, 50843, 52304, 51277, 50457, 51119, 52024, 51153, 53002, 51435, 51492, 57268, 57821, 50878, 51198, 51492, 51144, 51717, 51280, 51492, 51708, 52250, 50459, 52789, 51058, 54775, 50987, 50461, 51881, 51717, 53447, 51364, 54524, 52133, 51717, 51743, 51801, 53389, 52121, 70561, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51684, 53287, 52841, 50804, 54796, 65756, 50791, 50812, 56041, 54626, 50843, 52304, 51277, 50458, 51181, 52423, 55638, 50878, 57958, 51192, 54524, 70561, 76687, 50843, 60171, 50801, 57162, 55266, 52789, 52580, 50843, 50897, 54775, 50866, 64821, 59979, 51181, 50910, 54524, 54585, 64850, 52279, 54796, 66326, 54775, 50807, 50445, 50791, 61094, 51181, 51757, 51416, 59434, 52304, 51277, 50451, 52789, 51254, 50458, 51684, 54692, 50878, 50460, 54379, 51097, 53447, 51091, 54524, 70561, 76687, 50843, 50862, 55429, 50844, 54775, 53450, 50843, 75027, 52789, 51051, 64821, 59979, 51181, 53841, 52841, 50804, 54796, 65756, 50791, 50812, 56041, 54626, 50843, 52304, 51277, 50458, 51349, 53345, 55638, 65264, 51198, 60880, 51280, 50820, 53447, 50911, 54524, 51144, 65108, 50791, 50874, 51119, 51010, 50419, 50843, 60171, 51181, 53097, 57162, 53450, 50843, 50897, 64821, 59979, 57713, 51022, 53550, 55309, 66326, 51099, 50930, 51429, 51010, 55258, 51022, 50445, 50791, 50812, 53526, 53567, 50843, 53988, 51373, 51277, 55350, 51022, 50457, 51119, 52149, 51153, 51492, 51435, 52024, 50458, 51844, 52764, 55638, 50878, 51280, 51492, 51198, 51492, 51144, 55068, 51708, 52250, 50460, 51743, 54270, 50461, 51881, 52829, 52133, 52720, 51711, 52204, 52036, 53201, 51656, 52829, 53447, 51091, 54524, 70561, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51181, 65582, 53824, 50880, 53550, 54796, 50805, 52150, 59070, 50791, 52848, 50843, 52304, 51277, 50458, 51349, 53345, 57821, 50878, 50460, 53824, 50857, 53447, 50911, 54524, 52150, 69171, 50791, 76687, 50843, 60171, 51181, 53097, 57162, 53450, 50843, 50897, 64821, 50808, 55481, 52841, 51068, 52279, 54796, 66326, 51940, 50915, 50443, 52150, 65079, 50791, 52848, 50843, 52304, 51277, 50451, 52106, 51157, 50458, 51844, 54692, 50878, 50460, 51144, 51662, 51280, 52071, 51198, 52151, 50461, 51119, 51592, 53447, 51141, 54524, 70561, 50874, 51940, 51077, 50419, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 51181, 61468, 52841, 50804, 54796, 50805, 50440, 52106, 50915, 50445, 50791, 52848, 50843, 52304, 51277, 50452, 52150, 51294, 68674, 50878, 53053, 50991, 54524, 52789, 52222, 60018, 50910, 70561, 50874, 51232, 51115, 51869, 51141, 51429, 51059, 50416, 51099, 51364, 55288, 51148, 50419, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 54524, 50436, 52187, 51703, 51615, 51447, 50437, 53541, 52782, 54379, 51419, 53550, 54796, 50805, 52033, 51432, 50440, 51099, 50811, 52040, 68491, 51232, 61189, 50791, 52848, 50843, 52304, 51277, 54775, 51203, 50458, 51137, 56230, 50878, 51153, 52024, 51435, 52250, 51144, 52337, 52789, 73316, 51198, 52122, 51280, 52122, 51708, 51717, 50461, 51743, 52337, 53389, 51801, 52133, 51717, 51881, 52121, 53447, 51091, 54524, 70561, 76687, 50843, 50862, 55429, 68521, 51478, 50910, 55057, 50897, 64821, 59979, 51181, 55381, 51181, 61711, 54796, 50805, 52106, 51090, 50445, 50791, 52848, 50843, 52304, 51277, 51940, 51058, 50458 ]
[ 0, 250, 765, 8, 4045, 3495, 2214, 59, 657, 6, 4246, 10, 5540, 13305, 816, 10, 19448, 33301, 11, 12608, 538, 4, 20, 2125, 11498, 10, 7212, 20889, 8, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 272, 119, 6, 230, 119, 6, 1918, 6, 272, 119, 406, 6, 8, 274, 119, 14, 3639, 3722, 5581, 7, 5, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 52785, 58879, 51964, 52062, 50426, 51280, 51330, 51561, 51330, 51099, 50995, 50437, 51280, 51328, 50438, 51144, 51108, 50439, 51512, 51253, 50444, 51706, 77069, 51144, 51330, 51512, 51330, 51153, 50995, 50460, 52176, 51423, 50461, 51280, 51637, 57211, 51144, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51639, 53581, 51777, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 51869, 56391, 51706, 50838, 51639, 52985, 51561, 50932, 51777, 53581, 51153, 50838, 69296, 50886, 53038, 50974, 50415, 51777, 51637, 50420, 51876, 52688, 51706, 55665, 51561, 54498, 54733, 53624, 52746, 50838, 51153, 52985, 52477, 51097, 51308, 56711, 51512, 50905, 50799, 51512, 50862, 56686, 74023, 51308, 78377, 53646, 53770, 53483, 57547, 51561, 56692, 53483, 64632, 51512, 54058, 51308, 54509, 56686, 50838, 51153, 50974, 62871, 58879, 51964, 52062, 50426, 51280, 51330, 51561, 51330, 51099, 50995, 50437, 51280, 51328, 50438, 51144, 51108, 50439, 51512, 51253, 50444, 51706, 77069, 51144, 51330, 51512, 51330, 51153, 50995, 50460, 52176, 51423, 50461, 51280, 51637, 62673, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51516, 53581, 52381, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 53038, 56391, 51876, 50838, 51777, 52985, 51706, 50932, 51639, 53581, 51435, 50838, 50799, 51777, 50886, 54733, 50974, 50415, 51639, 51637, 50420, 52746, 52688, 52477, 55665, 51561, 54498, 54733, 53624, 51308, 50864, 52746, 67446, 51153, 64533, 52477, 50932, 51308, 53581, 51512, 50838, 50799, 56686, 51753, 51847, 52783, 51561, 51671, 51494, 51939, 50420, 53646, 55752, 53483, 57524, 51706, 55659, 51847, 77494, 51494, 52136, 50450, 51308, 59435, 51777, 51074, 55746, 51280, 52011, 51561, 52011, 51099, 65184, 51280, 51333, 51144, 51333, 51512, 59124, 51280, 51199, 51144, 51199, 51153, 51312, 50460, 52176, 51797, 50461, 51280, 52519, 57211, 51144, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51639, 53581, 51777, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 51869, 56391, 51706, 50838, 51639, 52985, 51561, 50932, 51777, 53581, 51153, 50838, 69296, 50886, 53038, 50974, 50415, 51777, 51637, 50420, 51876, 52688, 51706, 55665, 51561, 54498, 54733, 53624, 52746, 50838, 51153, 52985, 52477, 51097, 51308, 56711, 51512, 50905, 50799, 51512, 50862, 56686, 74023, 51308, 78377, 53646, 53770, 53483, 57547, 51561, 56692, 53483, 64632, 51512, 54058, 51308, 54509, 56686, 50838, 51153, 50974, 62871, 58879, 51964, 52062, 50426, 51280, 51330, 51561, 51330, 51099, 50995, 50437, 51280, 51328, 50438, 51144, 51108, 50439, 51512, 51253, 50444, 51706, 77069, 51144, 51330, 51512, 51330, 51153, 50995, 50460, 52176, 51423, 50461, 51280, 51637, 62673, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51516, 53581, 52381, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 53038, 56391, 51876, 50838, 51777, 52985, 51706, 50932, 51639, 53581, 51435, 50838, 50799, 51777, 50886, 54733, 50974, 50415, 51639, 51637, 50420, 52746, 52688, 52477, 55665, 51561, 54498, 54733, 53624, 51308, 50864, 52746, 67446, 51153, 64533, 52477, 50932, 51308, 53581, 51512, 50838, 50799, 56686, 51753, 51847, 52783, 51561, 51671, 51494, 51939, 50420, 53646, 55752, 53483, 57524, 51706, 55659, 51847, 77494, 51494, 52136, 50450, 51308, 59435, 51777, 51074, 55746, 51280, 52011, 51561, 52011, 51099, 65184, 51280, 51333, 51144, 51333, 51512, 59124, 51280, 51199, 51144, 51199, 51153, 51312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15855, 8, 3495, 11739, 6, 42, 2214, 1575, 10, 13305, 8, 24896, 4279, 594, 6, 7630, 14805, 10, 25306, 8, 19448, 5466, 4, 8504, 11, 230, 538, 19, 10, 7212, 204, 73, 306, 20889, 6, 5, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 272, 6, 230, 6, 8, 274, 4, 20, 15229, 18, 5933, 2386, 13, 10, 17758, 6942, 9, 63, 1372, 8, 8728, 12049, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 80054, 51247, 78494, 60268, 51218, 50876, 51218, 57025, 66953, 60367, 57648, 50906, 59374, 53264, 51027, 63682, 60138, 60268, 60559, 51003, 74968, 78494, 60268, 51047, 50931, 51047, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 60268, 73273, 51003, 51034, 52206, 51741, 50292, 59055, 51218, 50968, 51218, 53523, 72272, 57648, 50877, 62244, 53264, 50900, 68184, 59055, 62163, 79327, 51003, 74968, 78494, 60268, 51422, 50931, 51422, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 50981, 68792, 75440, 62163, 51218, 50902, 51218, 56759, 67119, 60367, 57648, 50906, 69791, 53264, 50906, 60946, 51514, 50302, 61849, 60138, 59242, 50902, 62244, 50845, 74968, 78494, 60268, 51047, 68275, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 60268, 73273, 51003, 51034, 52206, 51741, 50292, 59055, 51218, 50968, 51218, 56947, 66953, 72272, 57648, 50871, 59374, 53264, 51026, 63682, 68184, 59055, 73093, 51003, 74968, 51662, 51050, 51662, 50877, 51422, 50931, 51422, 51034, 51643, 51141, 51247, 51662, 51050, 51662, 53523, 59782, 60598, 60307, 51633, 56282, 51643, 51159, 50900, 59782, 60598, 51003, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 60307, 51993, 60592, 52372, 51159, 50900, 65480, 58657, 51003, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51993, 51103, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 56509, 51633, 74543, 59782, 64292, 60510, 51993, 50917, 51034, 51643, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 56509, 52113, 69214, 59782, 60598, 60510, 51993, 50977, 50449, 52113, 50836, 51034, 52372, 51183, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 51003, 55203, 65480, 58657, 51003, 51034, 51643, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 50437, 52113, 53574, 51633, 52434, 50304, 59782, 60598, 60510, 51643, 50917, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 64292, 60307, 51993, 60592, 52372, 51159, 50900, 65480, 58657, 64292, 51003, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51633, 51218, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 60307, 51643, 79271, 51633, 52781, 51993, 51312, 50899, 59782, 64292, 51003, 51034, 51643, 51734, 50285, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 64292, 60307, 51633, 60592, 52113, 51159, 50900, 65480, 58657, 64292, 51003, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 52113, 51141, 52206, 51939, 51085, 51939, 53502, 51101, 56248, 62118, 51993, 68668, 68535, 52372, 51159, 67032, 55513, 50987, 51034, 52372, 51608, 50280, 51939, 51085, 51939, 53502, 67175, 52113, 72456, 51101, 58319, 68535, 52113, 51159, 67032, 55513, 50987, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53502, 51101, 53645, 62118, 50877, 68535, 53128, 70651, 51101, 55513, 50987, 51034, 53128, 51103, 51050, 51662, 51247, 51662, 53502, 51101, 53645, 62118, 50877, 68535, 51993, 51267, 76329, 55513, 50987, 51034, 52113, 51141, 52206, 51939, 51085, 51939, 53502, 51101, 56248, 62118, 51993, 68995, 68535, 52372, 51159, 67032, 55513, 50987, 51034, 52372, 51103, 52206, 51939, 51085, 51939, 53502, 51101, 56248, 62118, 50906, 68535, 51993, 72456, 72438, 52113, 73456, 50987, 51034, 52113, 50812, 51214, 51939, 51026, 51939, 50861, 51422, 50973, 51422, 50899, 51422, 50417, 51633, 52871, 51643, 54080, 51633, 52710, 52372, 51295, 50444, 52135, 50917, 51034, 51643, 51103, 52206, 51244, 51085, 51244, 50916, 51145, 50861, 51145, 50876, 51145, 51034, 51643, 51103, 51247, 51662, 51050, 51662, 53523, 59782, 60598, 51003, 50437, 52113, 53574, 51633, 52434, 50304, 59782, 60598, 60510, 51643, 50917, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 60307, 51993, 60592, 52372, 51159, 50900, 65480, 58657, 51003, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51633, 50983, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 60307, 51643, 57581, 51633, 65758, 59782, 64292, 51003, 50441, 51993, 51110, 51034, 51643, 51077, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 74824, 59782, 60598, 60510, 51993, 50938, 51034, 52113, 51608, 50280, 51939, 51085, 51939, 50425, 51993, 53548, 52113, 62530, 65480, 58657, 64292, 60307, 51633, 56282, 52113, 51048, 50900, 65480, 58657, 64292, 51003, 51034, 51993, 51446, 51247, 51749, 51050, 51749, 50900, 51397, 50871, 51397, 50877, 51397, 68792, 75440, 63129, 51115, 50906, 51115, 56759, 67119, 60367, 57648, 50876, 57069, 51101, 66836, 61026, 51101, 50997, 61849, 60138, 59242, 50902, 76376, 50987, 74968, 78494, 60268, 51047, 68275, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 60268, 79442, 50995, 51034, 52206, 51741, 50292, 59055, 51477, 50968, 51477, 56947, 77502, 66953, 72272, 57648, 50871, 57777, 52718, 51026, 75440, 63682, 68184, 59055, 74827, 51108, 64688, 61817, 52528, 50931, 52528, 50426, 51247, 51749, 51034, 51431, 51141, 51247, 51662, 51050, 51662, 53523, 59782, 60598, 60307, 51485, 56282, 51431, 51159, 50900, 59782, 60598, 51003, 51034, 51509, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51509, 73456, 59782, 60598, 60510, 51509, 50917, 51034, 51744, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 60307, 51509, 60592, 51579, 51159, 50900, 65480, 58657, 51003, 51034, 51509, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51509, 51103, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 56509, 51485, 74543, 59782, 64292, 60510, 51509, 50917, 51034, 51431, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51509, 73456, 59782, 60598, 60510, 51509, 50917, 51034, 51509, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 56509, 51744, 69214, 59782, 60598, 60510, 51509, 50977, 50449, 51744, 50836, 51034, 51579, 51183, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 51003, 55203, 65480, 58657, 51003, 51034, 51431, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 50437, 51744, 53574, 51485, 52434, 50304, 59782, 60598, 60510, 51431, 50917, 51034, 51509, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51509, 73456, 59782, 60598, 60510, 51509, 50917, 51034, 51744, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 64292, 60307, 51509, 60592, 51579, 51159, 50900, 65480, 58657, 64292, 51003, 51034, 51509, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51485, 51218 ]
[ 0, 250, 15855, 30062, 620, 7085, 2125, 6, 42, 765, 15229, 16, 17407, 30, 63, 25306, 2821, 16235, 4, 590, 10, 6755, 12547, 6, 32909, 6, 1893, 43639, 6, 1515, 21305, 6, 8, 15679, 642, 1543, 6, 24, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 5386, 814, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 10, 20902, 27841, 139, 20889, 6, 24, 1575, 10, 33215, 13931, 9, 2060, 401, 6, 12608, 6, 230, 119, 6, 12608, 6, 8, 211, 119, 406, 428, 245, 73, 347, 6, 1271, 7, 63, 6878, 2574, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50639, 51375, 50930, 51629, 50811, 53623, 50803, 52316, 50803, 51431, 50841, 52264, 50930, 66452, 50800, 55515, 54472, 53213, 51431, 50884, 51641, 58092, 51093, 50811, 51395, 50811, 54542, 54069, 51641, 60892, 51093, 51010, 51395, 50811, 54542, 50857, 51431, 67726, 52481, 51973, 51093, 50811, 51629, 50811, 77978, 51431, 50818, 52264, 50811, 50707, 50295, 50823, 53121, 58860, 53862, 50813, 57436, 67691, 51335, 52119, 51395, 50811, 51394, 50811, 51641, 51031, 52336, 59093, 54542, 50829, 55111, 61360, 53623, 50803, 52316, 50803, 52264, 50817, 52629, 50811, 66452, 50823, 55515, 60364, 51629, 50811, 51304, 60869, 55111, 50822, 54542, 50971, 51641, 50817, 52336, 60159, 51395, 50930, 51394, 59788, 53121, 78574, 77978, 78724, 51431, 50887, 52264, 50811, 50707, 50295, 59177, 53798, 51093, 50962, 51629, 50811, 57436, 50813, 53862, 64833, 51641, 50930, 52336, 55577, 51394, 50811, 51395, 50803, 54542, 50813, 55111, 63849, 66452, 62181, 53623, 50803, 52316, 50803, 52264, 50811, 52629, 50811, 55515, 50894, 50799, 51629, 50811, 51304, 58197, 54922, 50880, 57436, 58242, 51335, 57615, 78724, 51431, 50887, 50707, 50295, 50803, 52264, 50803, 53121, 52968, 51093, 50962, 51629, 50811, 77978, 57436, 50822, 53862, 59380, 66452, 50803, 51431, 51551, 52264, 51009, 55515, 52952, 52316, 75889, 51300, 51629, 51009, 50439, 53623, 50803, 57436, 51356, 53862, 51244, 50449, 50707, 50295, 50803, 53121, 50388, 53692, 53798, 77978, 78724, 50799, 52316, 50803, 66452, 50823, 55515, 64854, 53623, 68159, 51093, 53213, 51431, 50846, 51641, 59852, 51395, 57646, 54542, 50834, 51641, 55155, 51093, 50828, 51431, 61494, 51395, 50811, 54542, 64783, 51093, 51010, 53121, 63137, 51973, 77978, 78724, 51629, 50803, 51431, 50846, 52264, 50811, 50707, 50295, 68238, 57436, 50962, 53862, 52953, 51395, 50811, 76021, 51641, 50817, 52336, 58167, 54542, 50928, 55111, 61360, 52316, 50803, 66452, 52057, 51629, 50811, 51304, 50811, 53623, 50803, 52264, 50961, 52629, 50930, 55515, 59071, 57436, 50880, 54922, 60964, 51394, 52940, 51395, 50809, 51641, 50817, 52336, 70577, 54542, 50867, 55111, 60062, 51093, 50962, 51629, 50811, 77978, 78724, 50707, 50295, 53153, 57436, 50867, 53862, 50867, 51431, 72022, 50809, 53121, 58614, 51335, 59730, 51395, 50811, 51394, 50811, 51641, 54232, 54542, 50863, 55111, 50867, 52336, 62959, 51629, 51010, 53623, 50803, 52316, 50803, 51304, 50803, 52629, 50894, 66452, 50823, 55515, 50811, 50799, 54922, 50880, 57436, 50817, 52264, 58099, 51093, 51010, 51629, 50811, 54480, 50950, 78724, 53121, 63137, 51973, 57436, 50821, 53862, 50813, 79215, 50707, 50295, 50803, 52264, 50950, 50437, 53623, 50803, 52316, 52057, 51093, 51009, 51629, 51009, 57436, 51029, 53862, 51115, 66452, 50882, 51431, 51029, 52264, 51029, 55515, 79738, 77978, 52481, 52116, 50707, 50295, 50803, 53121, 63137, 56771, 52316, 50803, 53623, 50823, 50799, 55515, 58320, 66452, 55492, 51488, 50811, 73649, 51509, 50846, 52061, 58741, 52061, 50825, 51509, 57851, 51488, 50949, 73649, 54157, 50884, 56841, 59045, 51488, 50811, 77978, 78724, 56841, 50887, 55111, 50930, 50707, 50295, 50950, 53121, 52968, 51394, 50811, 52061, 50862, 52336, 50381, 53692, 52119, 51201, 50930, 51304, 50811, 54922, 50836, 54157, 50857, 51509, 50809, 52629, 75031, 53623, 50803, 52316, 57880, 55111, 50808, 66452, 50823, 55515, 52952, 51488, 50811, 51394, 50811, 56841, 50836, 52061, 50862, 52336, 52510, 51093, 50962, 73649, 54157, 50880, 53862, 50836, 51431, 50862, 51509, 60168, 52481, 57891, 51488, 50811, 77978, 56841, 50809, 54899, 50862, 51723, 50862, 52061, 50840, 50707, 50295, 50882, 53121, 63137, 52116, 51165, 72091, 51201, 50962, 54157, 50887, 53862, 50841, 51431, 50855, 51509, 54166, 51093, 50962, 50460, 52316, 56771, 53623, 50803, 76021, 56841, 50809, 55111, 50836, 52061, 50809, 52336, 50930, 66452, 50803, 55515, 50811, 50799, 51488, 60861, 54157, 50836, 53862, 50836, 51431, 50813, 51509, 54475, 71315, 51201, 58099, 52481, 50811, 56841, 50857, 54899, 50837, 50707, 50295, 50803, 53121, 63137, 53537, 51165, 50930, 51488, 50811, 77978, 51723, 50837, 52061, 60519, 51201, 50803, 53862, 50825, 54157, 50809, 51431, 50836, 51509, 54216, 51093, 59693, 52316, 50803, 55515, 59266, 53623, 50803, 51488, 51300, 51394, 51009, 56841, 51551, 55111, 51196, 66452, 51014, 52336, 51285, 52061, 51300, 50449, 52481, 50811, 53121, 63137, 52116, 77978, 50707, 50295, 56771, 52316, 50803, 50799, 53623, 50803, 66452, 50803, 55515, 60861, 51093, 50817, 51641, 50835, 51431, 57242, 51395, 50817, 54542, 50883, 53862, 57466, 51093, 50895, 51395, 50809, 54542, 50855, 51641, 60892, 51093, 51010, 50425, 52481, 50811, 77978, 51629, 50803, 53862, 50813, 57436, 50880, 51431, 50864, 53121, 63137, 51973, 52264, 50817, 50707, 50295, 57925, 51395, 50811, 51394, 50930, 54542, 50855, 55111, 50809, 51641, 55649, 52336, 65925, 53623, 57880, 51093, 51010, 51629, 50811, 52316, 50803, 57436, 50809, 53862, 50884, 52264, 50811, 55515, 52952, 51431, 50809, 66452, 60254, 51165, 50962, 51395, 50811, 54899, 50828, 54542, 50887, 51723, 52510, 51641, 64072, 54480, 57891, 51375, 50811, 51093, 50811, 78724, 57454, 50839, 53862, 50887, 52211, 50836, 51431, 50840, 50707, 50295, 50803, 53121, 63137, 58403, 51165, 50962, 51395, 50811, 54542, 50880, 54899, 50834, 51723, 50840, 51641, 59026, 53623, 50803, 52316, 75889, 50803, 51629, 50803, 53862, 50840, 57436, 50813, 51431, 50820, 52264, 50811, 66452, 50803, 55515, 50811, 53069, 54899, 50839, 54542, 50862, 51723, 50813, 51641, 55777, 51165, 50841, 51395, 58242, 51335, 57615, 77978, 78724, 57454, 50813, 53862, 50809, 52211, 50887, 51431, 50880, 50707, 50295, 50803, 53121, 52968, 51375, 50811, 51093, 58221, 51395, 50880, 54899, 50820, 54542, 50862, 51723, 50809, 51641, 53705, 51165, 65452, 53623, 50803, 52316, 50803, 51629, 51009, 57436, 51527, 53862, 51196, 51431, 51870, 52264, 51009, 55515, 59266, 51093, 51300, 66452, 57891, 53121, 52568, 77978, 78724, 50707, 50295, 63137, 56628, 51335, 50823, 50799, 51426, 51795, 53121, 55534, 52371, 51031, 52481, 51795, 50707, 50295, 51795, 50416, 53121, 64600, 53121, 53070, 51093, 50811, 51395, 50811, 54542, 50828, 53862, 50836, 51641, 50818, 51431, 50930, 53121, 72640, 52314, 61183, 51395, 54381, 51165, 50837, 51093, 50811, 54542, 50836, 51641, 50857, 53121, 59095, 53121, 58964, 51629, 51973, 51093, 50811, 57436, 50887, 53862, 50820, 51431, 50809, 52264, 51010, 53121, 58245, 52314, 50982, 53121, 55001, 53121, 59508, 53121, 59277, 76021, 54542, 52810, 51395, 50811, 55111, 50880, 51641, 50818, 52336, 51010, 53121, 59076, 53121, 53908, 53121, 62602, 53121, 57352, 51304, 50811, 54922, 50809, 57436, 50836, 53121, 52676, 51629, 50803, 52264, 50895, 52629, 70988, 53121, 52279, 50834, 53012, 60371, 51394, 51779, 53384, 51395, 51010, 54542, 50930, 55111, 50880, 51641, 50890, 52336, 51010, 64614, 50928, 53526, 52231, 57471, 58501, 51629, 50811, 53862, 50886, 57436, 50855, 51431, 50836, 52264, 52279, 53035, 51093, 51010, 57688, 50846, 53061, 50834, 55350, 58014, 76021, 54542, 50880, 55111, 51010, 51641, 50809, 52336, 54319, 51395, 52279, 57077, 50804, 50880, 52198, 57498, 51629, 50811, 51304, 50803, 57436, 50930, 54922, 50950, 52264, 50811, 52629, 56106, 50811, 50799, 51887, 51300, 51154, 51300, 61715, 51300, 50425 ]
[ 0, 250, 20902, 3495, 1619, 2214, 19, 13134, 16882, 6, 4246, 10, 11739, 9, 13305, 6, 2020, 3548, 6, 17691, 28430, 6, 326, 5638, 18026, 6, 8, 10170, 1499, 6, 70, 8216, 7, 63, 32076, 8, 15352, 30054, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 23667, 27841, 139, 20889, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 272, 406, 6, 230, 6, 274, 6, 8, 230, 4620, 5, 46336, 24456, 9, 42, 12298, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50642, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 54920, 51191, 51085, 51255, 62967, 51254, 50801, 50959, 54928, 50415, 52173, 51101, 52391, 50838, 52344, 51376, 52850, 75570, 51784, 51470, 56759, 50942, 66883, 70489, 50861, 50937, 52391, 51008, 52344, 51008, 54407, 50427, 51900, 51074, 52850, 65053, 52850, 51269, 54928, 50435, 52173, 50892, 52344, 51126, 52391, 51000, 54908, 79259, 51351, 52498, 50824, 62967, 51142, 52344, 51051, 52391, 59743, 54088, 54928, 50439, 51873, 51237, 52850, 50854, 50440, 51900, 52063, 53526, 52179, 50447, 51784, 51534, 64057, 50925, 50900, 58628, 50910, 63121, 52344, 50822, 52391, 51008, 50903, 52744, 77836, 52619, 51227, 51994, 51290, 52850, 57450, 52391, 51269, 52344, 50907, 54928, 50459, 52850, 50971, 52894, 51191, 51247, 51255, 59235, 50984, 51891, 50822, 52344, 54352, 59809, 51862, 54928, 51206, 50878, 50415, 52498, 51274, 53653, 52097, 52879, 65290, 52857, 51534, 57025, 50942, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50904, 51891, 51126, 59235, 50870, 52879, 58854, 54063, 62743, 52624, 51254, 54928, 50437, 52498, 51377, 54683, 51191, 51085, 51351, 52515, 51481, 59235, 51126, 52344, 51126, 51891, 55503, 51051, 54928, 50439, 51873, 51653, 52879, 58171, 51802, 60649, 69466, 50900, 57035, 50910, 72733, 52498, 51472, 51900, 52482, 52879, 50813, 52344, 50904, 51891, 50904, 59235, 51000, 54407, 50451, 51873, 51661, 50458, 51784, 51008, 51891, 51833, 51051, 52894, 51191, 51247, 51255, 59235, 51254, 50801, 50959, 54928, 50415, 51891, 50838, 52344, 51376, 52879, 51006, 57025, 50942, 50900, 60094, 65840, 50937, 51891, 51008, 52344, 51008, 54407, 50427, 51994, 50795, 51873, 51977, 51531, 51009, 52879, 65053, 52879, 51269, 54928, 50435, 52344, 51126, 51891, 51000, 54908, 51191, 51085, 51255, 62967, 51365, 52850, 51058, 52181, 55930, 51051, 54928, 50439, 52857, 51242, 58725, 50878, 55895, 50942, 65200, 75729, 50876, 50937, 50903, 72773, 50451, 52330, 51160, 52285, 52460, 52181, 50851, 52850, 50864, 58725, 50833, 62967, 71439, 54928, 50459, 51784, 50822, 52894, 51141, 51247, 51255, 51873, 50918, 51531, 51300, 59235, 51365, 51891, 51058, 52344, 55930, 50959, 54928, 50415, 52879, 55440, 77126, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50851, 51891, 50864, 52879, 50833, 59235, 70301, 54928, 54908, 51204, 51085, 51351, 51531, 51377, 52344, 51376, 59235, 51524, 51891, 51051, 50801, 51051, 54928, 50439, 51691, 51460, 50440, 52879, 54823, 69466, 50900, 57035, 50910, 72733, 51531, 51077, 51666, 50849, 51691, 51661, 52344, 50912, 54407, 50451, 51891, 50874, 59235, 51319, 52879, 63181, 54928, 52894, 51191, 51247, 65849, 50959, 54928, 50415, 59235, 51376, 51891, 50978, 52344, 51174, 50416, 52879, 55656, 77126, 50900, 60094, 65840, 50937, 51691, 51358, 52368, 51527, 54407, 50427, 59235, 51000, 52344, 50867, 51891, 50904, 52879, 59890, 52879, 50971, 54928, 50435, 51891, 51126, 54585, 51191, 51279, 51255, 57489, 51212, 50756, 50289, 51365, 51891, 51058, 52344, 55930, 51051, 54928, 50439, 52850, 50878, 53526, 51862, 50447, 52285, 60333, 77126, 66883, 50916, 65840, 50937, 51908, 51016, 53242, 51454, 50903, 54566, 51051, 54407, 50451, 52515, 51166, 52344, 50851, 51891, 50864, 52850, 50833, 50756, 50289, 71439, 52857, 51051, 54928, 52894, 51141, 51247, 51255, 59235, 51000, 52344, 50941, 51891, 54874, 50959, 54928, 50415, 51691, 51343, 52368, 50918, 52879, 68684, 52714, 51058, 57025, 50942, 50900, 60094, 65840, 50937, 52355, 51481, 54407, 50427, 52344, 50941, 51891, 50904, 59235, 51000, 52879, 59062, 51784, 51254, 54928, 50437, 51531, 51112, 54908, 51204, 51085, 51351, 51691, 51427, 52515, 51534, 59235, 59547, 51051, 54928, 50439, 51891, 50827, 52344, 50907, 50440, 52879, 61334, 51802, 51470, 50449, 51531, 64712, 69466, 50900, 57035, 50910, 72733, 51691, 51472, 51784, 51534, 54407, 50451, 51891, 50904, 52344, 50864, 59235, 50982, 52879, 62705, 52355, 51008, 54928, 52894, 51191, 51247, 51255, 59235, 50984, 51891, 50822, 52344, 54352, 50959, 54928, 50415, 52879, 65599, 51873, 51413, 50425, 51531, 51356, 57025, 50942, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50904, 51891, 51126, 59235, 50870, 52879, 58608, 54928, 54908, 51191, 51085, 51255, 62967, 50984, 52850, 50822, 52181, 54352, 51051, 54928, 50439, 58725, 68785, 51784, 69945, 51873, 51221, 55895, 50942, 65200, 75729, 50876, 50937, 51666, 51016, 52285, 59355, 72773, 50451, 52181, 50904, 52850, 51126, 62967, 50870, 58725, 58323, 52926, 51142, 54928, 52894, 51141, 51247, 51255, 51873, 51446, 51531, 51527, 59235, 51000, 52344, 50941, 51891, 54874, 50959, 54928, 50415, 52879, 54654, 77126, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50941, 51891, 50904, 59235, 51000, 52879, 59062, 54928, 50436, 52498, 51377, 54908, 51204, 51085, 51351, 59235, 59547, 51051, 54928, 50439, 51873, 51379, 51891, 50827, 52344, 50907, 50440, 52879, 54105, 69466, 50900, 57035, 50910, 72733, 52498, 51446, 51873, 51661, 54407, 50451, 51891, 50904, 52344, 50864, 59235, 50982, 52879, 62705, 54928, 52894, 51191, 51247, 51255, 59235, 51365, 51891, 51058, 52344, 55930, 50959, 54928, 50415, 52879, 55440, 77126, 50900, 60094, 65840, 50937, 54407, 50427, 51691, 51551, 52368, 51661, 52344, 50851, 51891, 50864, 52879, 50833, 59235, 70301, 54928, 57097, 51191, 51247, 51255, 59235, 50984, 52814, 50822, 56102, 54352, 51051, 54928, 50439, 52146, 68785, 51802, 69945, 51908, 52266, 53242, 52728, 51176, 50942, 51086, 50844, 75818, 50871, 50937, 52183, 51480, 52933, 59355, 72773, 50451, 56102, 50904, 52814, 51126, 59235, 50870, 52146, 58323, 52824, 51142, 54928, 54920, 51091, 51085, 51255, 51871, 51077, 62967, 51000, 52391, 50874, 52344, 50904, 52850, 53877, 50959, 54928, 56759, 50942, 66883, 70489, 50861, 50937, 54407, 50427, 52344, 51000, 52391, 50837, 52850, 50836, 62967, 65627, 54928, 50437, 51531, 51073, 51908, 51162, 69031, 51204, 51214, 51351, 62967, 51319, 52344, 51000, 52391, 58011, 51051, 54928, 50439, 52850, 59433, 51531, 51127, 64057, 50925, 50900, 58628, 50910, 63121, 51908, 51103, 52391, 50864, 52344, 50941, 54407, 50451, 62967, 50928, 52850, 62705, 54928, 51094, 50304, 51204, 51085, 51351, 54246, 51006, 62967, 50984, 52344, 51126, 52391, 54036, 50959, 54928, 50415, 52850, 65942, 52714, 51524, 50422, 54219, 55656, 50997, 50942, 50900, 58628, 50808, 61084, 51994, 50983, 52278, 51074, 52344, 50904, 52391, 50834, 52850, 51187, 50878, 50427, 51531, 51413, 62967, 63633, 51784, 53021, 51051, 69031, 51191, 51214, 51003, 62967, 51126, 52344, 59874, 51051, 54928, 50439, 52391, 50941, 52850, 54417, 52186, 50978, 50449, 51994, 51377, 51988, 54526, 50997, 52434, 50304, 50955, 50916, 68668, 50937, 51666, 51013, 50903, 72773, 50451, 52344, 50886, 52391, 50820, 62967, 50891, 52850, 61425, 52278, 50972, 50458, 54928, 50459, 54246, 51051, 54920, 50983, 51085, 51255, 51994, 51446, 51531, 51336, 62967, 50984, 52391, 50822, 52344, 54352, 50959, 54928, 50415, 52850, 53906, 50997, 50942, 66883, 70489, 50861, 50937, 54407, 50427, 52344, 50904, 52391, 51126, 62967, 50870, 52850, 58608, 54928, 50437, 51994, 51221, 69031, 51204, 51214, 51351, 51988, 51653, 62967, 51126, 52344, 51126, 52391, 55503, 51051, 54928, 50439, 52850, 52800, 50997, 50925, 50900, 58628, 50910, 63121, 51994 ]
[ 0, 713, 5175, 25771, 2214, 6670, 10, 19448, 8, 5679, 26709, 5466, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 14, 74, 28, 157, 12, 9228, 4560, 13, 822, 4, 20, 13305, 3315, 5, 33301, 6, 7513, 30, 10, 38668, 11212, 8, 6755, 12547, 6, 150, 5, 3459, 9590, 8, 21072, 694, 10, 5204, 4811, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 41, 178, 5285, 20889, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 57448, 51205, 51496, 50956, 51274, 50965, 51274, 52187, 51283, 58296, 51446, 50965, 51472, 51863, 51448, 50433, 51096, 50918, 50454, 51656, 51148, 50456, 51069, 51870, 51040, 51551, 50965, 51870, 57448, 50429, 52255, 51803, 50432, 51796, 51551, 50900, 51661, 50965, 51285, 50456, 51105, 51264, 50997, 51307, 51040, 51151, 50871, 51359, 50965, 51151, 53100, 51243, 52402, 52015, 57448, 50438, 52340, 51056, 50442, 51325, 51192, 50448, 51096, 50820, 51105, 69560, 51105, 51345, 53188, 51480, 50456, 51096, 65844, 51796, 50882, 55563, 50808, 51176, 52017, 50900, 51445, 50956, 51469, 50965, 51264, 52402, 51293, 52402, 51293, 52531, 51168, 50376, 53692, 64685, 51325, 53590, 50862, 52470, 55997, 62782, 52358, 50864, 51694, 52154, 60155, 51096, 50835, 51205, 52223, 53998, 51325, 53835, 52275, 56030, 51325, 75031, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 51096, 50834, 51205, 53617, 51406, 53996, 51325, 51345, 50816, 52847, 61192, 52470, 50456, 50832, 70207, 63357, 51096, 50855, 51205, 51464, 58449, 52255, 51293, 52354, 52236, 50297, 51307, 50900, 51313, 50956, 52017, 50965, 51469, 52531, 51168, 65149, 50945, 53197, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 50862, 52470, 50432, 50945, 54451, 52275, 58853, 50945, 51420, 50864, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 51096, 54109, 51406, 53996, 50945, 51500, 50816, 52847, 61192, 52470, 50456, 50832, 72604, 66870, 51138, 50460, 51096, 50874, 52470, 55708, 50808, 51360, 51264, 80141, 50956, 51469, 50965, 51655, 52402, 51151, 52531, 51168, 65149, 51228, 55576, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 57050, 51096, 66142, 52470, 50432, 51228, 52589, 52275, 58853, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 54643, 53996, 51228, 77068, 52847, 61192, 52470, 50456, 50832, 72604, 54421, 51096, 63298, 52470, 53400, 52236, 50296, 51527, 50900, 51448, 50956, 51285, 50965, 51446, 52402, 51127, 52531, 51168, 65149, 51019, 53690, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 51559, 53998, 51105, 55719, 52275, 58853, 51105, 51508, 53945, 51197, 51285, 51040, 51285, 50997, 51749, 50989, 51364, 53100, 51127, 52340, 51056, 57770, 63397, 51325, 68633, 50897, 79025, 50832, 60168, 51096, 50820, 51105, 51192, 54643, 53996, 51105, 51345, 50956, 50921, 53188, 51480, 50816, 52847, 61192, 50989, 50938, 52470, 50456, 51096, 50942, 50965, 51138, 50832, 72604, 66870, 51021, 50459, 51796, 50882, 50799, 53091, 51535, 51325, 63748, 50961, 51176, 52017, 50900, 51445, 50956, 51469, 50965, 51264, 52402, 51293, 52531, 51168, 50376, 53692, 64685, 51325, 53590, 50862, 52470, 55997, 62782, 52358, 50864, 51694, 52154, 60155, 51096, 50835, 51205, 52223, 53998, 51325, 53835, 52275, 56030, 51325, 75031, 79788, 53091, 51221, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51121, 50448, 51096, 50834, 51205, 53617, 51406, 53996, 51325, 51345, 50816, 52847, 61192, 52470, 50456, 55783, 55993, 70207, 63357, 51096, 50855, 51205, 51464, 58449, 52255, 51293, 50799, 55521, 51148, 50945, 52236, 50297, 51307, 50900, 51313, 50956, 52017, 50965, 51469, 52531, 51168, 65149, 50945, 53197, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 50862, 52470, 50432, 50945, 54451, 52275, 58853, 50945, 51420, 53945, 55783, 51484, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51178, 50448, 51096, 54109, 51406, 53996, 50945, 51500, 50816, 52847, 61192, 52470, 50456, 53091, 58266, 72604, 66870, 51138, 50460, 51096, 50874, 52470, 50799, 54142, 50892, 70507, 51360, 51264, 80141, 50956, 51469, 50965, 51655, 52402, 51151, 52531, 51168, 65149, 51228, 55576, 50862, 52470, 50420, 53091, 53742, 58304, 55521, 51680, 52358, 50864, 51694, 52154, 57050, 51096, 66142, 52470, 50432, 51228, 52589, 52275, 58853, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 54643, 53996, 58241, 51008, 51228, 77068, 52847, 61192, 57041, 50941, 52470, 50456, 55521, 66639, 72604, 54421, 51096, 63298, 52470, 50799, 54142, 50925, 51019, 52236, 50296, 51527, 50900, 51448, 50956, 51285, 50965, 51446, 52402, 51127, 52531, 51168, 65149, 51019, 53690, 50862, 52470, 50420, 55837, 51157, 50832, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 51559, 53998, 54142, 51241, 51105, 55719, 52275, 58853, 51105, 51508, 53945, 51197, 51285, 51040, 51285, 50997, 51749, 50989, 51364, 53100, 51127, 52340, 51056, 57770, 63397, 51325, 68633, 50897, 79025, 50832, 60168, 51096, 50820, 51105, 51192, 54643, 53996, 54142, 50813, 51105, 51345, 50956, 50921, 53188, 51480, 50816, 52847, 61192, 50989, 50938, 52470, 50456, 54142, 50937, 51096, 50942, 50965, 51138, 50832, 72604, 66870, 51021, 50459, 51796, 50882, 50799, 55521, 50987, 53091, 51535, 51325, 63748, 50961, 51176, 52017, 50900, 51445, 50956, 51469, 50965, 51264, 52402, 51293, 52531, 51168, 50376, 53692, 64685, 51325, 53590, 50862, 52470, 55997, 62782, 52358, 50864, 51694, 52154, 60155, 51096, 50835, 51205, 52223, 53998, 51325, 53835, 52275, 56030, 51325, 75031, 79788, 53091, 51221, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51121, 50448, 51096, 50834, 51205, 53617, 51406, 53996, 51325, 51345, 50816, 52847, 61192, 52470, 50456, 55783, 55993, 70207, 63357, 51096, 50855, 51205, 51464, 58449, 52255, 51293, 50799, 55521, 51148, 50945, 52236, 50297, 51307, 50900, 51313, 50956, 52017, 50965, 51469, 52531, 51168, 65149, 50945, 53197, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 50862, 52470, 50432, 50945, 54451, 52275, 58853, 50945, 51420, 53945, 55783, 51484, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51178, 50448, 51096, 54109, 51406, 53996, 50945, 51500, 50816, 52847, 61192, 52470, 50456, 53091, 58266, 72604, 66870, 51138, 50460, 51096, 50874, 52470, 50799, 54142, 50892, 70507, 51360, 51264, 80141, 50956, 51469, 50965, 51655, 52402, 51151, 52531, 51168, 65149, 51228, 55576, 50862, 52470, 50420, 53091, 53742, 58304, 55521, 51680, 52358, 50864, 51694, 52154, 57050, 51096, 66142, 52470, 50432, 51228, 52589, 52275, 58853, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 54643, 53996, 58241, 51008, 51228, 77068, 52847, 61192, 57041, 50941, 52470, 50456, 55521, 66639, 72604, 54421, 51096, 63298, 52470, 50799, 54142, 50925, 51019, 52236, 50296, 51527, 50900, 51448, 50956, 51285, 50965, 51446, 52402, 51127, 52531, 51168, 65149, 51019, 53690, 50862, 52470, 50420, 55837, 51157, 50832, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 51559, 53998, 54142, 51241, 51105, 55719, 52275, 58853, 51105, 51508, 53945, 51197, 51285, 51040, 51285, 50997, 51749, 50989, 51364, 53100, 51127, 52340, 51056, 57770, 63397, 51325, 68633, 50897, 79025, 50832, 60168, 51096, 50820, 51105, 51192, 54643, 53996, 54142, 50813, 51105, 51345, 50956, 50921, 53188, 51480, 50816, 52847, 61192, 50989, 50938, 52470, 50456, 54142, 50937, 51096, 50942, 50965, 51138, 50832, 72604, 66870, 51021, 50459, 51796, 50882, 50799, 55521, 50834, 51796, 50859, 50965, 50961, 54911, 52062, 52689, 52062, 57922, 51801, 52531, 51168, 50376, 53692, 64685, 50798, 50862, 52470, 55997, 62782, 51796, 54438, 51044, 50864, 51694, 52154, 60155, 52470, 50432, 51796, 54200, 52275, 63136, 51796, 51041, 53945 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 11739, 9, 13305, 6, 2382, 3459, 8669, 6, 21979, 8669, 6, 24896, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 4, 20, 16331, 33215, 16739, 9, 211, 6, 83, 6, 381, 6, 8, 83, 4620, 5, 46336, 24456, 4, 20, 15229, 7630, 6568, 10, 5679, 26709, 8, 11653, 5466, 6, 13869, 26545, 8, 11098, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 52591, 55289, 50820, 52521, 50828, 51967, 53803, 55353, 50862, 52521, 50834, 51967, 53860, 56673, 50834, 52521, 50834, 51967, 52766, 56673, 50841, 52521, 54305, 56673, 50834, 52521, 50908, 53122, 54036, 53409, 56673, 50820, 52521, 50857, 51967, 54518, 53563, 56673, 50820, 52521, 50857, 52130, 59854, 73172, 52142, 50995, 52130, 50878, 52582, 51449, 51701, 51449, 52288, 51364, 50944, 51337, 56387, 51742, 51708, 51194, 51198, 51194, 51494, 51203, 51119, 51194, 62273, 51987, 57030, 51171, 51310, 71419, 53058, 51172, 50420, 52176, 51337, 50920, 51258, 50421, 50946, 79433, 51198, 51124, 51494, 51203, 51119, 51194, 52142, 51233, 53058, 51194, 61394, 52539, 58245, 50848, 73906, 51233, 50850, 65135, 70429, 52176, 50845, 68637, 69841, 50433, 50946, 51391, 53758, 51291, 51198, 51328, 51494, 51328, 51119, 51328, 53058, 50915, 52142, 51047, 53358, 51987, 57477, 50848, 51337, 50944, 51423, 68098, 50444, 52176, 51423, 50843, 55712, 51258, 50445, 51171, 54058, 51198, 51111, 51494, 50991, 51119, 51346, 51967, 51121, 59425, 52823, 58351, 50848, 63855, 51172, 65198, 50456, 56387, 51242, 53122, 59301, 53762, 56772, 52091, 51449, 51701, 51449, 53285, 51204, 52537, 50959, 51847, 51400, 51232, 51400, 51119, 51480, 52130, 51267, 52142, 51003, 53358, 52523, 57392, 51688, 67493, 51645, 50868, 51025, 50850, 51363, 50420, 52537, 51337, 50843, 53762, 51258, 50421, 51217, 76906, 51847, 50995, 51232, 50915, 51119, 50915, 52130, 51267, 52142, 51312, 54074, 51987, 58245, 51017, 51412, 77111, 50850, 71992, 70907, 52537, 53877, 54119, 53495, 53569, 51069, 51285, 52537, 50915, 52142, 51318, 52130, 50873, 52321, 52523, 60470, 51017, 51309, 50868, 51233, 65198, 50444, 51847, 50874, 53058, 55309, 53495, 64734, 51217, 69262, 52130, 70832, 51967, 55125, 51847, 50845, 51232, 50901, 51119, 56369, 51135, 51987, 58351, 78783, 63299, 58752, 50456, 52537, 51058, 52130, 50955, 52142, 50955, 52521, 64321, 53995, 51258, 50461, 52582, 51314, 51701, 51314, 52288, 51362, 56387, 51115, 51198, 51412, 51494, 51480, 51119, 51203, 52142, 51253, 52130, 53309, 51392, 52523, 64565, 51171, 51134, 50848, 51233, 50944, 51043, 65198, 50416, 53058, 51203, 50420, 52176, 51337, 50843, 53495, 51129, 50421, 50946, 67175, 51198, 51025, 51494, 51025, 51119, 51043, 53058, 50925, 52142, 51212, 59425, 53045, 59619, 50848, 51233, 50944, 51178, 69861, 50429, 52130, 53627, 65340, 52176, 50827, 51967, 53959, 52141, 53107, 68658, 50946, 51411, 50437, 51678, 51108, 56903, 51016, 58001, 50845, 51198, 51312, 51232, 51267, 51099, 51025, 53058, 50873, 52321, 51987, 60470, 50848, 73906, 51194, 67474, 50444, 52533, 50874, 51951, 59689, 53495, 51129, 50445, 51171, 51337, 50449, 51701, 58959, 51213, 51013, 56686, 50905, 51198, 51480, 51494, 50866, 51119, 50866, 52142, 51121, 54074, 51987, 58351, 61375, 69946, 50850, 58325, 53483, 50864, 51967, 58174, 53995, 69646, 51171, 62800, 51678, 51449, 52252, 51449, 52563, 51091, 53366, 51397, 51198, 51412, 51099, 51025, 51429, 51411, 53020, 51295, 53358, 51987, 57392, 50988, 50942, 73172, 70531, 50935, 51337, 50420, 51869, 51481, 50843, 53107, 72592, 50988, 73969, 51198, 51233, 51099, 51255, 51429, 51480, 61394, 51987, 59741, 72071, 72976, 50935, 77066, 63657, 51869, 50878, 53258, 52015, 69443, 53107, 62713, 60624, 55208, 51291, 53366, 51199, 51198, 54352, 51392, 52291, 64481, 57724, 57230, 50935, 58867, 51198, 51177, 51099, 51109, 51429, 51109, 51401, 54996, 52291, 51129, 50445, 50988, 58238, 51869, 50813, 52473, 51159, 59425, 51987, 65392, 50848, 59643, 63472, 54194, 51198, 64321, 52291, 68716, 50946, 51008, 50461, 52582, 51449, 51701, 51449, 52288, 51091, 56387, 51477, 51198, 51534, 51494, 51534, 51119, 51233, 51763, 50914, 69063, 53107, 58120, 51171, 51310, 50848, 51212, 50944, 51121, 65623, 50420, 52176, 52518, 50920, 52445, 50421, 50946, 51423, 50426, 51198, 51419, 51494, 51351, 51119, 51134, 54074, 53107, 61033, 50848, 51177, 50944, 51177, 50850, 62118, 58883, 52176, 50974, 51763, 53933, 53473, 53495, 61689, 50946, 50892, 53758, 51336, 56387, 51318, 52473, 50845, 52453, 52291, 64481, 50848, 59232, 54879, 55040, 52176, 51642, 51198, 51000, 51282, 59689, 53107, 51129, 50445, 50946, 78271, 51198, 51043, 51494, 51400, 51119, 51203, 54322, 56744, 51135, 53045, 58517, 50848, 57062, 56219, 55670, 52176, 56395, 53995, 68716, 50946, 78584, 52091, 51449, 51701, 51449, 53285, 51294, 52537, 50827, 51847, 51534, 51232, 51363, 51119, 51412, 52124, 50943, 53358, 51987, 66583, 51017, 51534, 67477, 65198, 50420, 52537, 51481, 50843, 53495, 51258, 50421, 50946, 67732, 51847, 51534, 51232, 51203, 51119, 51203, 61394, 52823, 61033, 51017, 51233, 50868, 51194, 50850, 77066, 70907, 52537, 51328, 52124, 54436, 53766, 53107, 68658, 50946, 68535, 51069, 51472, 51847, 51277, 51232, 51328, 51099, 51101, 51119, 51884, 51401, 50873, 52321, 51987, 62889, 51017, 51233, 67477, 68098, 50444, 52537, 51006, 51282, 59301, 53495, 72485, 50946, 65504, 51847, 50845, 51232, 51177, 51099, 51212, 51119, 50974, 52473, 60503, 51135, 53045, 60068, 51017, 51412, 78225, 50850, 51400, 50456, 52537, 51006, 50843, 53762, 51129, 50457, 50946, 73827, 52582, 51449, 51701, 51449, 52288, 51294, 56387, 51535, 51198, 51412, 51494, 51534, 51119, 51363, 51763, 51267, 52321, 52291, 57392, 51171, 51047, 50848, 51411, 50944, 51411, 50850, 52378, 50420, 52176, 51481, 50843, 53495, 72592, 50946, 71266, 51198, 51363, 51494, 51203, 51119, 51043, 51967, 51295, 53058, 51295, 51282, 51177, 61394, 52539, 58245, 50848, 51480, 50944, 51025, 50850, 73195, 58883, 52176, 51412, 51763, 55503, 53759, 52291, 78694, 50946, 51101, 53758, 51472, 51198, 51277, 51494, 51753, 51119, 51277, 51763, 51212, 52321, 53107, 64481, 77363, 74579, 65623, 50444, 56387, 51534, 52130, 50845, 51282, 64321, 53495, 71102, 50946, 54058, 52176, 50904, 51198, 51051, 51494, 51470, 51119, 51008, 51967, 50892, 54322, 51097, 59425, 52499, 60068, 67102, 67169, 50850, 54752, 58001, 50822, 53122, 51212, 50843, 53107, 68716, 50946, 51242, 50461, 52091, 51449, 51701, 51449, 53285, 50807, 60310, 51824, 51847, 51172, 51232, 51337, 51119, 51423, 52521, 52071, 52124, 51310, 52166, 53515, 64565, 51017, 51242, 72419, 50850, 55041, 52537, 51884, 50843, 53495, 72592, 50946, 53383, 51069, 50807, 51847, 51797, 51232, 51423, 51119, 51242, 51815, 55284, 51139, 53045, 61033, 50946, 51255, 51017, 78265, 52537, 50912, 52124, 58011, 54119, 53107, 65975, 51688, 53018, 51205, 51013, 60310, 51423, 51847, 51277, 51232, 51277, 51099, 50905, 54110, 51108, 53358, 52291, 78565, 51042, 51363, 50848, 72438, 74118, 52537, 56661, 52523, 51129, 50445, 51688, 58262, 51228, 50889, 51229, 50889, 52537, 50851, 51847, 51174, 51232, 50987, 54322, 51199, 54074, 53045, 79949, 62677, 69950, 50868, 54194, 52537, 56254, 56603, 52016, 51449, 52582, 51449, 52288, 51343, 51322, 50830, 56387, 51097, 51198, 51419, 51494, 51542, 51119, 51542, 53552, 52523, 64565, 51171, 52168, 50848, 51337, 50944, 51423, 65623, 50420, 51322, 50952, 52176, 73339, 52523, 73768, 50946, 71266, 52176, 51679, 55722, 52786, 58815, 50848, 51337, 50944, 51363, 65198, 58932, 55460, 61689, 50946, 51233, 53758, 51091, 51198, 51645, 52455, 52523, 65004, 50848, 51309, 50944, 51423, 67634, 50444, 51322, 51100, 52176, 51242, 50843, 53515, 72485, 50946 ]
[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 4149, 6, 4246, 10, 6755, 12547, 6, 32909, 6, 1515, 21305, 6, 2342, 4467, 6, 8, 15679, 642, 1543, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 11498, 41, 12447, 1001, 20889, 1328, 6, 2351, 41, 5466, 9, 8354, 8, 814, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 1471, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50415, 51794, 50880, 51154, 50811, 51375, 50803, 52061, 50817, 71555, 52264, 50811, 55078, 50811, 52913, 50811, 54541, 50894, 51996, 50811, 52541, 59177, 51670, 59852, 51794, 50941, 54541, 50837, 53951, 57559, 51794, 75730, 54541, 59461, 54654, 51794, 65450, 54541, 55924, 55286, 51794, 50930, 51154, 50846, 51375, 76245, 50699, 50273, 50859, 52907, 50823, 54541, 51010, 51996, 50811, 52541, 50962, 57671, 52781, 51794, 67635, 54541, 53802, 65246, 51794, 63776, 54541, 59500, 55434, 51794, 59843, 54541, 54528, 55634, 57805, 50940, 52602, 51014, 51794, 50880, 51154, 50961, 51375, 58614, 54541, 50950, 51996, 50811, 52541, 52791, 53920, 51794, 64853, 54541, 53802, 61545, 51794, 51365, 50460, 54541, 61591, 50886, 50799, 54541, 76415, 50804, 64523, 50699, 50273, 50803, 52907, 58609, 51794, 50887, 51154, 51010, 51375, 57591, 73888, 54541, 50930, 52541, 50811, 51996, 52630, 51794, 56670, 54541, 53784, 70898, 51794, 61660, 54541, 77522, 64205, 51794, 56693, 54541, 74068, 77745, 52602, 59921, 57805, 50890, 51794, 50809, 51154, 51010, 51375, 52952, 54541, 50811, 52541, 50811, 51996, 52050, 75636, 50699, 50273, 51010, 52907, 50840, 51794, 50962, 54541, 54218, 50971, 56594, 63155, 51794, 50836, 51154, 50841, 51375, 50930, 54541, 50862, 52541, 51010, 51996, 53893, 63653, 50816, 58261, 52481, 50823, 51088, 75336, 51426, 50890, 51946, 50887, 54277, 50813, 52695, 51463, 50941, 53462, 51021, 61745, 51427, 56032, 58449, 57805, 50823, 52602, 51030, 51794, 51010, 51375, 50950, 51154, 50811, 54541, 50811, 51996, 50811, 52541, 52279, 50811, 50799, 51335, 50894, 50419, 51794, 52628, 54541, 53802, 67643, 51794, 50904, 54541, 51004, 72130, 64942, 51794, 50864, 54541, 50870, 51302, 60741, 50699, 50273, 50890, 52907, 50803, 51794, 50811, 51154, 51010, 51375, 50811, 54541, 51010, 52541, 54332, 52359, 51996, 57776, 51794, 54077, 54541, 54518, 76428, 51794, 56714, 54541, 56450, 51126, 50443, 51794, 50971, 54541, 59606, 58145, 52602, 50823, 51794, 50887, 51375, 50811, 54541, 50887, 52541, 50811, 51996, 51463, 55268, 57805, 50823, 51154, 56354, 51794, 50835, 54541, 53784, 71439, 51794, 51126, 54541, 53889, 70004, 54541, 54472, 50886, 50799, 51794, 68162, 50699, 50273, 50803, 52907, 50803, 54541, 51010, 52541, 50887, 51996, 53989, 54681, 51794, 50887, 66441, 51375, 58099, 51794, 55447, 54541, 53479, 63444, 51794, 50857, 54541, 53889, 64205, 51794, 50886, 54541, 54218, 52810, 51154, 59572, 57805, 50811, 52602, 65452, 51794, 51010, 51375, 50803, 54541, 52791, 53574, 66441, 52541, 51010, 51996, 58772, 54277, 50835, 51946, 54345, 53783, 53623, 50962, 51299, 50857, 51301, 50855, 51088, 50813, 52695, 60374, 57805, 50811, 52602, 50857, 51794, 50811, 51375, 50821, 51154, 50883, 54541, 50890, 52541, 50811, 51996, 53989, 63335, 55244, 50962, 52143, 50809, 51426, 50930, 51088, 51010, 78990, 52695, 50862, 52032, 50813, 51946, 54866, 57620, 50816, 50863, 52198, 59700, 59472, 50823, 53599, 50823, 51301, 50821, 51375, 50803, 51357, 50803, 53064, 50803, 52541, 50811, 53339, 52409, 51010, 52591, 51301, 50837, 53064, 54518, 50941, 63741, 56295, 51301, 50837, 53064, 52641, 51301, 50862, 53064, 53352, 64205, 50699, 50276, 50803, 53623, 52119, 51375, 51010, 51357, 50962, 51301, 50809, 53064, 50811, 52541, 50811, 53339, 52791, 53574, 51301, 57270, 53064, 54518, 59356, 51301, 50904, 53064, 54946, 54758, 51301, 50904, 53064, 54518, 54915, 59472, 50860, 51301, 50930, 51375, 50811, 51357, 50811, 53064, 54690, 63793, 52541, 50817, 53339, 54210, 51301, 65267, 53064, 53784, 61545, 51301, 50870, 53064, 59500, 63729, 51301, 50886, 53064, 50904, 51601, 50804, 68353, 53623, 53113, 50699, 50276, 50811, 51301, 50809, 51375, 50811, 51357, 50811, 53064, 50930, 52541, 50817, 53339, 52791, 60567, 51301, 52329, 53064, 57334, 50804, 61036, 53064, 51210, 50816, 72479, 51301, 52810, 50804, 71259, 59472, 50811, 53599, 75483, 51301, 50840, 51357, 50803, 53064, 50887, 52541, 50817, 53339, 52952, 51375, 52791, 58350, 54480, 51010, 52481, 62859, 51794, 50962, 74821, 51165, 50836, 54541, 50890, 53780, 50818, 52032, 54528, 50941, 56594, 71487, 55472, 50993, 53148, 76253, 51301, 50862, 51375, 50962, 51357, 50811, 53064, 50962, 52541, 50811, 53339, 52279, 50813, 59986, 65556, 53780, 50894, 52032, 50803, 53916, 58403, 51491, 50840, 51165, 50962, 51488, 52279, 50971, 56032, 61561, 51301, 50836, 51375, 50811, 51357, 50803, 53064, 50811, 52541, 50811, 53339, 50811, 50799, 53599, 50823, 59472, 54627, 57188, 51301, 50908, 53064, 58158, 50804, 68684, 53064, 54104, 51301, 60818, 51297, 50425, 51301, 50862, 53064, 50867, 51302, 62169, 53339, 52726, 50699, 50276, 50811, 53623, 50894, 51301, 50890, 51375, 50811, 51357, 50811, 53064, 50883, 52541, 52050, 55395, 51301, 50809, 53064, 54212, 50908, 50440, 50816, 63780, 53064, 51004, 50442, 53064, 51319, 50443, 51301, 55924, 61444, 51301, 56409, 53886, 53599, 50950, 51375, 50817, 51357, 50880, 59472, 50803, 53064, 50880, 52541, 50811, 53339, 59730, 53780, 50811, 53916, 55433, 62276, 50811, 54333, 50864, 51491, 50930, 51165, 50841, 51488, 50862, 52032, 53966, 50928, 56032, 50835, 52198, 57867, 50816, 50961, 50799, 53215, 50983, 51088, 51391, 51357, 51343, 51107, 51141, 53339, 51541, 52601, 51226, 51946, 51191, 50415, 70285, 68499, 52776, 51362, 51088, 51391, 51165, 51362, 51395, 51191, 51946, 51204, 52032, 51059, 53343, 51059, 57688, 50857, 54706, 55370, 64979, 56032, 74509, 57805, 50803, 52602, 50811, 51794, 79257, 50803, 51375, 50803, 51488, 50821, 50799, 52264, 50811, 52061, 50817, 51509, 50817, 52913, 52279, 51670, 50388, 53692, 60861, 51488, 53070, 52061, 57987, 50804, 68684, 51488, 50813, 52061, 53868, 50816, 63366, 51488, 64462, 52061, 71297, 64044, 50816, 67393, 52907, 51010, 51887, 51010, 51488, 51010, 51201, 50887, 51629, 50811, 51905, 58221, 52061, 50817, 52264, 50811, 51509, 52265, 52324, 52279, 65268, 51488, 50890, 52061, 53294, 50804, 66116, 51488, 50904, 52061, 54946, 74034, 52061, 53802, 68211, 51488, 66880, 50816, 50941, 57471, 76973, 51488, 50811, 51201, 51010, 51629, 50811, 51905, 50811, 52602, 50925, 52143, 50829, 51638, 50894, 52061, 50817, 51509, 50817, 52264, 57859, 51488, 50862, 52061, 54212, 64459, 52061, 57950, 51488, 66874, 51128, 50460, 51488, 50904, 52061, 54472, 50870, 51809, 50816, 51000, 50419, 51488, 50811, 73649, 51629, 50811, 51905, 51031, 51887, 50803, 52061, 50962, 52264, 50817, 51509, 51463, 57606, 52907, 58099, 51488, 50867, 52061, 51463, 71699, 51488, 50941, 52061, 54946, 66434, 51488, 59606, 62169, 51201, 50908, 52061, 57160, 50816, 51000, 55935, 79737, 51638, 50858, 51488, 50811, 73649, 51629, 50811, 52602, 50811, 51905, 50949, 52061, 50811, 51509, 50817, 52264, 58772, 51488, 50813, 52061, 50835, 52913, 53500, 54923, 57915, 52913, 59433, 51488, 50887, 51629, 50962, 51201, 51031, 51905, 51031, 52061, 50930, 52264, 50817, 51509, 50818, 53121, 51779, 50388, 53692, 64985, 78724, 51426, 50887, 51165, 50930, 51395, 50811, 51629, 50836, 51394, 50811, 51182, 50895, 51579, 50818, 51723, 50961, 51641, 50384, 74014, 70548, 77379, 51723, 50829, 51579, 50839, 51641, 50883, 56032, 65540, 51638, 50833, 52602, 50803, 51488, 50821, 51201, 50803, 51629, 50803, 51905, 50811, 52061, 50811, 71555, 52264, 50811, 52913, 53988, 50811, 58088, 50817, 51528, 63137 ]
[ 0, 250, 19448, 15855, 2125, 702, 9382, 15, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 16331, 33215, 16739, 9, 211, 119, 6, 272, 119, 6, 8, 274, 6670, 10, 5679, 26709, 8, 11653, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 10, 19834, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 51504, 50874, 50947, 50981, 50417, 50986, 53066, 51131, 55266, 50986, 52654, 51131, 50844, 51032, 64627, 50986, 52658, 51504, 50822, 50970, 75986, 50986, 52729, 51131, 58709, 50986, 53103, 51131, 50844, 50947, 59956, 50986, 52843, 51246, 50822, 65244, 50453, 50986, 53920, 51131, 50822, 50970, 70395, 75341, 61108, 50844, 65244, 50417, 50986, 53066, 51504, 50844, 50947, 50943, 50423, 50986, 53906, 51131, 57250, 50986, 52658, 51131, 50844, 50970, 60282, 50986, 54181, 51504, 50822, 50947, 50943, 50441, 50986, 53103, 51131, 55118, 50986, 52843, 51131, 50822, 65063, 50453, 50986, 52863, 51504, 50822, 50970, 50932, 50459, 79509, 62954, 58172, 50986, 53066, 51131, 50822, 58993, 50423, 50986, 52654, 51246, 50844, 50929, 65005, 50986, 53911, 51131, 50822, 50970, 60282, 50986, 52729, 51207, 50822, 68242, 50441, 50986, 53103, 61447, 50970, 51003, 56103, 51504, 50822, 50947, 51097, 50417, 50986, 54611, 51131, 55266, 50986, 52654, 51131, 50810, 51032, 64627, 50986, 52658, 51504, 50822, 50970, 75986, 50986, 53415, 51131, 58709, 50986, 53103, 51131, 50822, 58993, 50447, 50986, 52843, 51246, 50810, 65244, 50453, 50986, 52863, 51131, 50822, 50970, 60864, 79509, 61108, 50844, 65244, 50417, 50986, 53066, 51504, 50822, 50947, 51003, 50423, 50986, 52654, 51131, 57250, 50986, 53513, 51131, 50844, 50970, 65867, 50986, 52729, 51504, 50822, 50947, 63939, 50986, 53783, 51131, 55118, 50986, 52843, 51131, 50822, 65063, 50453, 50986, 54194, 51504, 50874, 50970, 50932, 50459, 75341, 62954, 59991, 50986, 53066, 51131, 50844, 50947, 58861, 50986, 52654, 51246, 50844, 50929, 64318, 50986, 52658, 51131, 50822, 50970, 60282, 50986, 53614, 51207, 50822, 68242, 50441, 50986, 53103, 51131, 50995, 50970, 51003, 64752, 50995, 50998, 58172, 50986, 53728, 51067, 55747, 50986, 53881, 51032, 53847, 50986, 53193, 51131, 51097, 50970, 55098, 50986, 52691, 51067, 52831, 50986, 53783, 51032, 52513, 50986, 54385, 51574, 51097, 50929, 55874, 50986, 54900, 51032, 52567, 64268, 63133, 50905, 51064, 54275, 50986, 54448, 51504, 50901, 50947, 54080, 50986, 52921, 51207, 50845, 50998, 55730, 50986, 53193, 72878, 50970, 56529, 50986, 53614, 51246, 50915, 50998, 56532, 50986, 53783, 51067, 53363, 50447, 51032, 52848, 51076, 53259, 50453, 51032, 51754, 51131, 50995, 50970, 54846, 79509, 52177, 51032, 54588, 51032, 52450, 53271, 50981, 50929, 55730, 50960, 52658, 51064, 55632, 50929, 52841, 51725, 50845, 50998, 58935, 50986, 54746, 70655, 62768, 64752, 51003, 57573, 50417, 50986, 54351, 51067, 53184, 50986, 52921, 51032, 53847, 50986, 53193, 51131, 50995, 50970, 55098, 50986, 53614, 51067, 54134, 50986, 53743, 51032, 53668, 50986, 53140, 51574, 51097, 50929, 58229, 50986, 53820, 51032, 53848, 73248, 63133, 50892, 51064, 54275, 50986, 54448, 51504, 50901, 50947, 54588, 50986, 53881, 51207, 50901, 50998, 57544, 50986, 53513, 72878, 50970, 54125, 50986, 53614, 51246, 50915, 50998, 62079, 50986, 53743, 51067, 53090, 50447, 51032, 51757, 51076, 53380, 50453, 51032, 52643, 51131, 51097, 50970, 54678, 79509, 52177, 51032, 54588, 51032, 52710, 53271, 50995, 50929, 55730, 50960, 53513, 51064, 55632, 50929, 54181, 51725, 50901, 50998, 58935, 50986, 54746, 51504, 51013, 50970, 51013, 64752, 51003, 50970, 55689, 64207, 51316, 51363, 50423, 51067, 53450, 50970, 56739, 51067, 53513, 51207, 50995, 65813, 51064, 54137, 70748, 50947, 51803, 50441, 51064, 53783, 50960, 57904, 51064, 54004, 52562, 50981, 51136, 50838, 50929, 53581, 67672, 58700, 50892, 51136, 54177, 51246, 50943, 50960, 50943, 51064, 54347, 50970, 52580, 50929, 55730, 50947, 53911, 51064, 54112, 51032, 54181, 51246, 50995, 50970, 51412, 51067, 55322, 50970, 50892, 51316, 51363, 50447, 51067, 52843, 50970, 58305, 51067, 52863, 51207, 51097, 50960, 51534, 51064, 50892, 61894, 50905, 50947, 51803, 50417, 51064, 54351, 50960, 56174, 51064, 52654, 52562, 51097, 51136, 50974, 50929, 55544, 51032, 55306, 51504, 50845, 51136, 55103, 51246, 50943, 50960, 50943, 51064, 50915, 64752, 50995, 77661, 51067, 55126, 64207, 51316, 51363, 50423, 51067, 52654, 50970, 56739, 51067, 53911, 51207, 50995, 63557, 51064, 56298, 69125, 50947, 51452, 50441, 51064, 54746, 50960, 55876, 51064, 52843, 52562, 51097, 51136, 50905, 50929, 54509, 65063, 58700, 50845, 51136, 55126, 51246, 51003, 50960, 51003, 51064, 55797, 50970, 53881, 50929, 57544, 50947, 53911, 51064, 56529, 51032, 53415, 51246, 51097, 50970, 51534, 51067, 53999, 77661, 51316, 51412, 50447, 51067, 54004, 50970, 56936, 51067, 54424, 51207, 50932, 67363, 51064, 50974, 61894, 62874, 51742, 50417, 51064, 54351, 50960, 54252, 51064, 53450, 52562, 51097, 51136, 50974, 50929, 55544, 51032, 54233, 51504, 50845, 51136, 55103, 51246, 50943, 50960, 50943, 51064, 50915, 69683, 67722, 51032, 51191, 50418, 50947, 54475, 51136, 60682, 50947, 53901, 51136, 58331, 50947, 53860, 60917, 50434, 51064, 62439, 50970, 53980, 65606, 50440, 51064, 62438, 50970, 54434, 51246, 61334, 62200, 50448, 50960, 54086, 51131, 64732, 50970, 61348, 51136, 53211, 51504, 61688, 50970, 59107, 75043, 62954, 79171, 61398, 50418, 51136, 54657, 51246, 60342, 50960, 62115, 50970, 53901, 51064, 65216, 63208, 50430, 50960, 53705, 51246, 59992, 50960, 62517, 50970, 53894, 51136, 64562, 51032, 51204, 50442, 50947, 54840, 51136, 58321, 50947, 53886, 51136, 59096, 50947, 54481, 50960, 62309, 51064, 61629, 65740, 61894, 76328, 51064, 62799, 50970, 55105, 51444, 62488, 50970, 59474, 50960, 53383, 52562, 63444, 50929, 61799, 50986, 53860, 51504, 61075, 51064, 59079, 50960, 54077, 51504, 68167, 50947, 62438, 51136, 54434, 51246, 60812, 50960, 64598, 50970, 53938, 51064, 64703, 50970, 63226, 50960, 54199, 51246, 50892, 69683, 70325, 51032, 51204, 50418, 50947, 54402, 51136, 60682, 50947, 53425, 51136, 58854, 50947, 53860, 50960, 59992, 51064, 62439, 50970, 53980, 65606, 50440, 51064, 63954, 50970, 54758, 51246, 61334, 62200, 50448, 50960, 52800, 51131, 76690, 50970, 60632, 51136, 53211, 51504, 59972, 61398, 50460, 51136, 50813, 62954, 50886, 50416, 61398, 50418, 51136, 54657, 51246, 60342, 50960, 62115, 50970, 54156, 51064, 65216, 63208, 50430, 50960, 53860, 51246, 61075, 50960, 58853, 50970, 54431, 51136, 64562, 51032, 51191, 50442, 50947, 54465, 51136, 60954, 50947, 53886, 51136, 59096, 50947, 54199, 50960, 62309, 51064, 61630, 63208, 61894, 76328, 51064, 65000, 50970, 55105, 51444, 59993, 50970, 61083, 50960, 53383, 52562, 71699, 50929, 57766, 50986, 53705, 51504, 59992, 51064, 61300, 50960, 53980, 51504, 68273, 50947, 58344, 51136, 54434, 51246, 60812, 50960, 63956, 50970, 53938, 51064, 69008, 63208, 50454, 50960, 54199, 51246, 50905, 60533, 50874, 51067, 51157, 50417, 50947, 52734, 50970, 54252, 63079, 50425, 51292, 52992, 64667, 51438, 64627, 50947, 53911, 51444, 50874, 51067, 51380, 50435, 50947, 51724, 50970, 57366, 70182, 50443, 51292, 53044, 64667, 51438, 65586, 50947, 52843, 63614, 51292, 65371, 50947, 52863, 66805, 51067, 60864, 64836, 50799, 68864, 51316, 67075, 50929, 54611, 78349, 51067, 54347, 50947, 53881, 51169, 56739, 50947, 52658, 51076, 54112, 51316, 52729, 51444, 50874, 51067, 51267, 50441, 50947, 52711, 50970, 55876, 50947, 65261, 51292, 53068, 64667, 51438, 70842, 50947, 54424, 51444, 50874, 51067, 51312, 50459, 78129, 66474, 58172 ]
[ 0, 713, 5175, 25771, 2214, 6670, 10, 19448, 8, 3366, 219, 5466, 19, 63, 15352, 30054, 38668, 22052, 6, 18569, 6, 8, 36075, 8669, 6, 2800, 30, 41, 3459, 9590, 8, 21072, 4, 8504, 11, 230, 3694, 19, 10, 7212, 204, 73, 306, 20889, 6, 24, 5705, 25935, 1626, 227, 5, 40286, 2060, 8, 12608, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50455, 52457, 54232, 52376, 65267, 51831, 57059, 51652, 50828, 51667, 54943, 51721, 62519, 51643, 56904, 51633, 50828, 52113, 50846, 50799, 55825, 52121, 66451, 51717, 51821, 52337, 51701, 51293, 51716, 51313, 51993, 67425, 51406, 55048, 57772, 50855, 53321, 63223, 55240, 50839, 52111, 51987, 52641, 50852, 54995, 55004, 50841, 53666, 79714, 54101, 64938, 51633, 50882, 52224, 55365, 63136, 51643, 50890, 51570, 52100, 56691, 50836, 51572, 54940, 52875, 50832, 52823, 53528, 56370, 53045, 52743, 50832, 55004, 50836, 51647, 54940, 62356, 51633, 53875, 50852, 53225, 52786, 62107, 51993, 50840, 52215, 52539, 55971, 52372, 51029, 50799, 52072, 51353, 52009, 52151, 50791, 51406, 55048, 57772, 50855, 53321, 63223, 55240, 50839, 52111, 51987, 52641, 50852, 54995, 55004, 50841, 53666, 52953, 51993, 51141, 61258, 50867, 52224, 55365, 50867, 51570, 52100, 56691, 50836, 51572, 54940, 52875, 50832, 52823, 53528, 56370, 53045, 52743, 50832, 55004, 56269, 51633, 51508, 54940, 54232, 50852, 53225, 52786, 62107, 51652, 50830, 52215, 52539, 58077, 52185, 73361, 51821, 51293, 51716, 51293, 50799, 76454, 51667, 55325, 51406, 55048, 57772, 50855, 53321, 53403, 51993, 51196, 56443, 50839, 52111, 51987, 52641, 50852, 54995, 55004, 50841, 53666, 79714, 54101, 50867, 52224, 55365, 50867, 51570, 52100, 56691, 50836, 51572, 54940, 52875, 50832, 52823, 53528, 56370, 53045, 52743, 50832, 55004, 50836, 51647, 54940, 54232, 51831, 50863, 51652, 56192, 53225, 52786, 58958, 51667, 54814, 51721, 50828, 51643, 51700, 52539, 58077, 51633, 60634, 80182, 52009, 51151, 52072, 51151, 52113, 50895, 51993, 50883, 50799, 52372, 51041, 51406, 55048, 57772, 65600, 53128, 50961, 54761, 51352, 53321, 53403, 50816, 50840, 56443, 50839, 52111, 51987, 50825, 51694, 55051, 54995, 55004, 55739, 50816, 55004, 79714, 54101, 56030, 50816, 51700, 55365, 54077, 61718, 52100, 56691, 50836, 53525, 51421, 54940, 52875, 50816, 52240, 52823, 53528, 50816, 50855, 56370, 53045, 57723, 54061, 50911, 51899, 54701, 55004, 50836, 54706, 50880, 69099, 62356, 51633, 54418, 50816, 52625, 53225, 52786, 50863, 53206, 53696, 52539, 55971, 51716, 51313, 51821, 51445, 51701, 51293, 66451, 51717, 55825, 52121, 50799, 57170, 50880, 51993, 55311, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 54446, 52372, 54054, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 53291, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 51903, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 50863, 52215, 52539, 50820, 50799, 51821, 51313, 52072, 51359, 52009, 51313, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 50839, 52111, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 53291, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 53291, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 50863, 52215, 52539, 50820, 50799, 51821, 51445, 51716, 51313, 51701, 51313, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 50839, 52111, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 53291, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 51903, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 50863, 52215, 52539, 50820, 50799, 51821, 51293, 52009, 51313, 52072, 51359, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 50839, 52111, 51987, 52641, 57170, 54162, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 51903, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 51903, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 55053, 51616, 52570, 50832, 52539, 55971, 51821, 51477, 51716, 51448, 51557, 52024, 50799, 51701, 51535, 66451, 52121, 55825, 52121, 51118, 53073, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 53403, 51262, 51041, 55240, 50839, 52111, 51987, 52641, 51752, 50808, 57170, 53662, 66097, 54995, 55004, 55739, 51262, 52823, 52953, 51752, 51582, 54101, 56030, 57170, 53291, 55365, 54077, 51752, 51016, 51262, 54749, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 53291, 52823, 53528, 51262, 51179, 55048, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 62356, 51752, 52643, 57170, 50880, 51195, 55064, 53225, 52786, 55053, 51223, 52139, 52539, 55971, 51752, 51238, 50799, 57170, 54162, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 53403, 51262, 51044, 55240, 50839, 52111, 51987, 58990, 53124, 53950, 57170, 53662, 66097, 54995, 55004, 50841, 53666, 57531, 51262, 56999, 53124, 51364, 51361, 54101, 56030, 57170, 53291, 55365, 50867, 51450, 50859, 58070, 56691, 66425, 51262, 50828, 51572, 54940, 52875, 57170, 53288, 52823, 53528, 51262, 51406, 55048, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 50880, 51262, 53708, 53225, 52786, 55053, 51250, 52240, 52539, 58077, 51616, 53002, 50461, 55825, 55277, 66451, 55408, 51557, 52149, 50799, 57170, 53662, 55043, 51406, 55048, 57772, 65600, 51118, 53073, 50417, 57170, 55790, 53403, 51262, 51044, 55240, 50839, 52111, 51987, 58990, 51752, 51620, 57170, 53662, 66097, 54995, 55004, 55739, 51262, 52079, 59278, 51752, 70565, 54101, 56030, 57170, 53291, 55365, 60633, 51752, 71889, 51262, 52259, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 57897, 52823, 53528, 51262, 51406, 55048, 53045, 57723, 51752, 52741, 71735, 55004, 50836, 51647, 54940, 62356, 51752, 52643, 57170, 50880, 51195, 55702, 53225, 52786, 58958, 64417, 52215, 52539, 55971, 51596, 51111, 50799, 57170, 54162, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 53403, 51262, 51044, 55240, 58235, 51606, 50938, 52111, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 51262, 55004, 59278, 51565, 51294, 51361, 54101, 56030, 57170, 53291, 55365, 54077, 51262, 53756, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 53288, 52823, 53528, 51262, 51467, 55048, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 50880, 51262, 55064, 53225, 52786, 55053, 51250, 51700, 52539, 58077, 51616, 53002, 50461, 51557, 51492, 50799, 66451, 53413, 55825, 52826, 57170, 53662, 55043, 51406, 55048, 57772, 65600, 51118, 52570, 50417, 57170, 54591, 63222, 51686, 55777, 51262, 51187, 55240, 50839, 52111, 51987, 58990, 51686, 52450, 57170, 52589, 66097, 54995, 55004, 55739, 51262, 55004, 59278, 51686, 50840, 51361, 54101, 56030, 57170, 53291, 55365, 60633, 51686, 52841, 51262, 52259, 50859, 58070, 56691, 50836, 51572, 54940, 60862, 51686, 52597, 57170, 53291, 52823, 53528, 51262, 51187, 55048, 53045, 57723, 51686, 52848, 71735, 55004, 50836, 51647, 54940, 62356, 51686, 52955, 57170, 50880, 51195, 52716, 53225, 52786, 55053, 51223, 52270, 52539, 55971, 51565, 50910, 50799, 57170, 54162, 55043, 51406, 55048, 57772, 60851, 57170, 54591, 63222, 51606, 52734 ]
[ 0, 713, 14899, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 1931, 21683, 10, 2365, 8, 15352, 30054, 16464, 4, 20, 6755, 12547, 8, 11006, 4122, 12, 1054, 330, 13305, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 3459, 13305, 6, 8, 17605, 9590, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 20902, 12447, 1001, 20889, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 12608, 6, 2060, 119, 1176, 406, 6, 230, 119, 406, 6, 8, 274, 119, 406, 6, 70, 624, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 66243, 52027, 50905, 50437, 51929, 50892, 50443, 51773, 78876, 51607, 51060, 50455, 51773, 79076, 51607, 55844, 50656, 50281, 56004, 52435, 53866, 51515, 52919, 51929, 53753, 59412, 68641, 66595, 50432, 56922, 53726, 50437, 55677, 51671, 50450, 51774, 53233, 50457, 53615, 51258, 51601, 52190, 65587, 52190, 58025, 52027, 58087, 56922, 51878, 51929, 51562, 50444, 51773, 58038, 51607, 51159, 79053, 51677, 52027, 51592, 54437, 51680, 51929, 51391, 51070, 51550, 50421, 50913, 50360, 51398, 65330, 53649, 52835, 50433, 51929, 51961, 50438, 50913, 52835, 53721, 59641, 50450, 53369, 54143, 52027, 51803, 51929, 52140, 51607, 51922, 63908, 63069, 52591, 52005, 58574, 52005, 59509, 51845, 53356, 51774, 51737, 50432, 52027, 51376, 51845, 51884, 50438, 61502, 52011, 51929, 51058, 63911, 52011, 50443, 51773, 69945, 62280, 52518, 51607, 51162, 65049, 52518, 50455, 55995, 51074, 51773, 51142, 56620, 51074, 50799, 57539, 55856, 52435, 54573, 51929, 51333, 52557, 58090, 51515, 53866, 51426, 60130, 68306, 56374, 50415, 57117, 52916, 50776, 50320, 50361, 50413, 50426, 52557, 52440, 52027, 65252, 51929, 51353, 50444, 52027, 63050, 51515, 56515, 52557, 66595, 55677, 52431, 52435, 57820, 55753, 57117, 63309, 50426, 72840, 51592, 50438, 51889, 51004, 50439, 51889, 66065, 51889, 51129, 50443, 51889, 57278, 51889, 51129, 50446, 51889, 68466, 51889, 51306, 50449, 51773, 50977, 51889, 58547, 51889, 51306, 50452, 51889, 51306, 50453, 51889, 52445, 50455, 51607, 50977, 51889, 52611, 50458, 61745, 52980, 50799, 68641, 52204, 51773, 51103, 54632, 52121, 52361, 51314, 51944, 51562, 52316, 55856, 51335, 57032, 50438, 51607, 51448, 52027, 51448, 51929, 51145, 51335, 63872, 51925, 53588, 50799, 51773, 51448, 51944, 51145, 52435, 51878, 51335, 66924, 50776, 50333, 57912, 50432, 51772, 52518, 50437, 51299, 65278, 50438, 55677, 54557, 51515, 52212, 51929, 51080, 51607, 51080, 51774, 51314, 52027, 52263, 50439, 51674, 51753, 51335, 58940, 50447, 51408, 51642, 50455, 51334, 51212, 50461, 51426, 65354, 77631, 55002, 56922, 57598, 54632, 52011, 51515, 51922, 51774, 55392, 51845, 65825, 50415, 51334, 53651, 50426, 54632, 69895, 50432, 52435, 53892, 52190, 52783, 50438, 52027, 53096, 52005, 60150, 50444, 54632, 53024, 50448, 52005, 57941, 50450, 52435, 52618, 50456, 52027, 54861, 50799, 54632, 50366, 52752, 63309, 50420, 51515, 51965, 50432, 51772, 55778, 50438, 52027, 51167, 56922, 51242, 52435, 51121, 51929, 51177, 50439, 51674, 51277, 50443, 51515, 62182, 51408, 67426, 52027, 51852, 51929, 51363, 56922, 51481, 51515, 52034, 51607, 52059, 52435, 51852, 50454, 51334, 51212, 79479, 51110, 52027, 51703, 51774, 51314, 51375, 77984, 50415, 54437, 51592, 51929, 51627, 51607, 51080, 50422, 51408, 59386, 51674, 51051, 50429, 51772, 56599, 50431, 52603, 68181, 52190, 52071, 50433, 51845, 51693, 50435, 51845, 51693, 50436, 51845, 57481, 51929, 51255, 51845, 56537, 50616, 51832, 50445, 52005, 57070, 50450, 51929, 52431, 58933, 55776, 53369, 51679, 52027, 51490, 51774, 52783, 51925, 56599, 50453, 52005, 54618, 50461, 54437, 51703, 50799, 52005, 74553, 50419, 53369, 55812, 50425, 52027, 51126, 50431, 51774, 50972, 50437, 61502, 50932, 63911, 54498, 53369, 53697, 51774, 51753, 52603, 52996, 51929, 69279, 54632, 53024, 52027, 52518, 50449, 62280, 52460, 65049, 52460, 50450, 53369, 52782, 51774, 50891, 52361, 52731, 50456, 55995, 51884, 53369, 51074, 54632, 51737, 51607, 51254, 52435, 51470, 51929, 50974, 56620, 52063, 50799, 62280, 51166, 52557, 54344, 52361, 54298, 57117, 51679, 52435, 52025, 51515, 51703, 51375, 76492, 65049, 51166, 50415, 50776, 50321, 68086, 50420, 55995, 51884, 51607, 52063, 56620, 51884, 50426, 51772, 51174, 51929, 51490, 52557, 53024, 50427, 57539, 66595, 68306, 53678, 50432, 51256, 50892, 57117, 51318, 51774, 65668, 52435, 51199, 50439, 51674, 72044, 52435, 53753, 55677, 51677, 52557, 53380, 51929, 51183, 51515, 50981, 51375, 53801, 50456, 51256, 51481, 50799, 72840, 52048, 52027, 50912, 50415, 51674, 50942, 50425, 72840, 51679, 50426, 51674, 51312, 52027, 52528, 51929, 52034, 50438, 69338, 51314, 51674, 50987, 51929, 51562, 55677, 51448, 50444, 51408, 50987, 51773, 57006, 51334, 51159, 50451, 51607, 51112, 50461, 55677, 52263, 50799, 72720, 51447, 52435, 51283, 51773, 51295, 52361, 51535, 51944, 51295, 52405, 57912, 50415, 51934, 51295, 74488, 53055, 50433, 52031, 51212, 50437, 69338, 51080, 52838, 63160, 50438, 54632, 51627, 51929, 51448, 52603, 51562, 51607, 51295, 52027, 51878, 50439, 51334, 51183, 68306, 53055, 50799, 51408, 51183, 55677, 51671, 52361, 51419, 52435, 51419, 51773, 51351, 51944, 51351, 52405, 52147, 74488, 53801, 50415, 72720, 65680, 51334, 51003, 54632, 51627, 52027, 52263, 52838, 52212, 50439, 69338, 51047, 51929, 51562, 51607, 51749, 52603, 51562, 68306, 56308, 50450, 54050, 51221, 50451, 51334, 51003, 50799, 51690, 55597, 60285, 56004, 50415, 60750, 52096, 51674, 51293, 51515, 51353, 56922, 52121, 54632, 55856, 52327, 51293, 51929, 51662, 51607, 51293, 50439, 51774, 53801, 50444, 52027, 53577, 50450, 51929, 50914, 54050, 51592, 50799, 51929, 51080, 50416, 51515, 51466, 50418, 52027, 58468, 50419, 51774, 52025, 50421, 51674, 55656, 51774, 54344, 50428, 52031, 51413, 50432, 51515, 51166, 50437, 51434, 51003, 52257, 56656, 58048, 51466, 50449, 51929, 51267, 54050, 79308, 51934, 51006, 68306, 52011, 50456, 51334, 62533, 61745, 51524, 50799, 61502, 52337, 51774, 52826, 54437, 53082, 52027, 53753, 52603, 51592, 51929, 53753, 51607, 53753, 51811, 55856, 68611, 62321, 50415, 51674, 51003, 50427, 51772, 51307, 50450, 52603, 51692, 51845, 52835, 50456, 51845, 51306, 50799, 51845, 54654, 51929, 51183, 54050, 51677, 51925, 50932, 50437, 60285, 52518, 50438, 52031, 50977, 52557, 53306, 51515, 50838, 54437, 63323, 51934, 50865, 51774, 51074, 51434, 50977, 58048, 50972, 50449, 52027, 52063, 50450, 51929, 50937, 52603, 51199, 68306, 51642, 50451, 51334, 51162, 50455, 51773, 55670, 51774, 50972, 59017, 51079, 50799, 57117, 52121, 52557, 51314, 54632, 51243, 51515, 52250, 52435, 51806, 51690, 52503, 56620, 56004, 50415, 60750, 51313, 51893, 51492, 50426, 52435, 54249, 50438, 52557, 58651, 50450, 52603, 53487, 50454, 53615, 66585, 53615, 51000, 50799, 56939, 52147, 53615, 53161, 50415, 66324, 51742, 54632, 52727, 50425, 51774, 54573, 50437, 68306, 61489, 50438, 51929, 51709, 53506, 55586, 50439, 70779, 51148, 52435, 52598, 50450, 52557, 51108, 51929, 51312, 50456, 52031, 51884, 50799, 51929, 51449, 51660, 51592, 51773, 51748, 52557, 52188, 54437, 52121, 51434, 51748, 58048, 52988, 50776, 50324, 66898, 50415, 52004, 51486, 53089, 52503, 50416, 70677, 51293, 50425, 52557, 60237, 50437, 51774, 52212, 50450, 51660, 53697, 50799, 52361, 51922, 51774, 50827, 52603, 52335, 51660, 51714, 51929, 52062, 51607, 51714, 50720, 50305, 52147, 50415, 54503, 51177, 56939, 52147, 50416, 66324, 51803, 52435, 52407, 50424, 52004, 51100, 50433, 51893, 78259, 51774, 51576, 50439, 53506, 55586, 67544, 52147, 50440, 70779, 51145, 50442, 52031, 51177, 50449, 51774, 68832, 51334, 51108, 50799, 58933, 50972, 51515, 51199, 53369, 51277, 52327, 51124, 50415, 51893, 52122, 50416, 60285, 53678, 50417, 69338, 52121, 52838, 54270, 50419, 50776, 50321, 57912, 50420, 58933, 51269 ]
[ 0, 250, 33928, 8, 19448, 1619, 3495, 2214, 4246, 10, 6755, 12547, 6, 2382, 3459, 8669, 6, 13305, 6, 21979, 8669, 6, 8, 18558, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 1328, 4, 20, 33215, 16739, 9, 12608, 119, 1176, 406, 6, 381, 6, 8, 83, 3639, 7, 63, 32625, 13569, 9862, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 56540, 51091, 55057, 56446, 51271, 53402, 51011, 51091, 57702, 57110, 63545, 56540, 51091, 55057, 56446, 51271, 53402, 51011, 69127, 51011, 53484, 51415, 64918, 57110, 63545, 50799, 54445, 51091, 51271, 51091, 55057, 56446, 55699, 50830, 51271, 53402, 59440, 51091, 51011, 51091, 57702, 57098, 55699, 64603, 63545, 50799, 54445, 50967, 51271, 51091, 50422, 52123, 51358, 55057, 56446, 50927, 53402, 51011, 69127, 51011, 53484, 51271, 56230, 57098, 51011, 56388, 52089, 50830, 63868, 50799, 51555, 62220, 65183, 51555, 54982, 56446, 50953, 53402, 50927, 51091, 50442, 52123, 58647, 54308, 64918, 57110, 55699, 51358, 63868, 52563, 51091, 55057, 56446, 51415, 53402, 51271, 69127, 51271, 53484, 51817, 56230, 57098, 51271, 56388, 51415, 50830, 52288, 66128, 54445, 53244, 54445, 64918, 56446, 52123, 50967, 50927, 53402, 51011, 51091, 50442, 52089, 58647, 51584, 54982, 57110, 63545, 50799, 51555, 50967, 50927, 71587, 52089, 50918, 50927, 53244, 51228, 64918, 56446, 51228, 53402, 50927, 52728, 51105, 54982, 57110, 52623, 50830, 50799, 52041, 50967, 51019, 51091, 50422, 54308, 52910, 50843, 56446, 51019, 53402, 53444, 50807, 51415, 63419, 52123, 64918, 57110, 52041, 50918, 73070, 53534, 52910, 51069, 50807, 51279, 61725, 52958, 51205, 50807, 51324, 61725, 53166, 51228, 50807, 51360, 61725, 63343, 54445, 50830, 50799, 54445, 51291, 50927, 51091, 51120, 64270, 52976, 73172, 50944, 51043, 65198, 50843, 63795, 59440, 51091, 63868, 79062, 50944, 51134, 50850, 67082, 51069, 51291, 51279, 64270, 53166, 55699, 50967, 50848, 51397, 50944, 51397, 50850, 51397, 50843, 63343, 54445, 50807, 52288, 51091, 51120, 51562, 50801, 61183, 52123, 51358, 57189, 51043, 50944, 51043, 65198, 50843, 63795, 63868, 51120, 50942, 70985, 50944, 60069, 54975, 69742, 51841, 61725, 60966, 61375, 69946, 50850, 56060, 51213, 50807, 51966, 51003, 70985, 50944, 60069, 68753, 50908, 52563, 51091, 51214, 51562, 50848, 69139, 50935, 58435, 54213, 51555, 51631, 51555, 50967, 73172, 65806, 50935, 76985, 63795, 51555, 50967, 65343, 51214, 50942, 79062, 75242, 50935, 51134, 53758, 51091, 51799, 51562, 50801, 72536, 52123, 52728, 73172, 65806, 50935, 76985, 67827, 54308, 64603, 63868, 51799, 50942, 79062, 75242, 50935, 51134, 50799, 55699, 51358, 50953, 51091, 51214, 51562, 50801, 52976, 73172, 65806, 50935, 76985, 63795, 65343, 51214, 50942, 50848, 69139, 74032, 53758, 51091, 51799, 64270, 60966, 61375, 59629, 50935, 56060, 73172, 65806, 50935, 76985, 54038, 54445, 59831, 61375, 59629, 50799, 54445, 51291, 50927, 51091, 51799, 51562, 70985, 50944, 60069, 58435, 52976, 73172, 50944, 51043, 65198, 50843, 63795, 52123, 50830, 63868, 51799, 50942, 79062, 50944, 51134, 50850, 67082, 52089, 51091, 69742, 51841, 61725, 53166, 51213, 50807, 51966, 51003, 70985, 50944, 60069, 68753, 67827, 51584, 50967, 50799, 51584, 62220, 51091, 51214, 51562, 50848, 69139, 50935, 58435, 52976, 51555, 50967, 73172, 65806, 50935, 76985, 63795, 54308, 50918, 65343, 51214, 50942, 50848, 69139, 74032, 53758, 51091, 51799, 64270, 60966, 61375, 59629, 50935, 56060, 50848, 69139, 50935, 68753, 63343, 63868, 53534, 51091, 51279, 51562, 51017, 74794, 60069, 58435, 54213, 54445, 51631, 54445, 50967, 51017, 51043, 67477, 65198, 50843, 63795, 52041, 50967, 78687, 51279, 50942, 51017, 51134, 72981, 50850, 67082, 51205, 50967, 54637, 61725, 72536, 52089, 52728, 51228, 50967, 52759, 51003, 51017, 51043, 67477, 65198, 50843, 67827, 52041, 72576, 51017, 50878, 59227, 61302, 52288, 51091, 51799, 51183, 70985, 50944, 60069, 58435, 72364, 52123, 51161, 57189, 51043, 50944, 51043, 65198, 50843, 63795, 63868, 70985, 50944, 60069, 54975, 51069, 51091, 53667, 64270, 60966, 61375, 69946, 50850, 56060, 70985, 50944, 60069, 68753, 63343, 78687, 52288, 50807, 51799, 51003, 61542, 70800, 50850, 60981, 52976, 51069, 50807, 53667, 51003, 51688, 50981, 62443, 52332, 51466, 50801, 59773, 52958, 51205, 52530, 50279, 50943, 51791, 51003, 75831, 51615, 51330, 50801, 60966, 51326, 53166, 54445, 51090, 51228, 53177, 50281, 50889, 52540, 50943, 73132, 51656, 51097, 57337, 51003, 56131, 61725, 50368, 52082, 59773, 50908, 50799, 54445, 52282, 50927, 51541, 51027, 51991, 50899, 51991, 50989, 51991, 59911, 67766, 62781, 52332, 51445, 51656, 51445, 51838, 51445, 57337, 51692, 56131, 51692, 50801, 52348, 50870, 56400, 52872, 73420, 50944, 51178, 50850, 51178, 51268, 51314, 51023, 51314, 51185, 51314, 50804, 51539, 52520, 56565, 78770, 50848, 51241, 50944, 51241, 50850, 76102, 55379, 51069, 51541, 50801, 52348, 59144, 59440, 77778, 55699, 72701, 51127, 50944, 51127, 50850, 51127, 51268, 51314, 51023, 51314, 51185, 51314, 57337, 50878, 56131, 54566, 51539, 52275, 57208, 57337, 51043, 56131, 77055, 51069, 51033, 51027, 50910, 75902, 50989, 50910, 50799, 54445, 52282, 50927, 51541, 51027, 51264, 50899, 51264, 50989, 51264, 51656, 51445, 51838, 51445, 53129, 51445, 57337, 51397, 56131, 75048, 52348, 50870, 56400, 52872, 73420, 50944, 51178, 50850, 51178, 51268, 51314, 51023, 51314, 51185, 51314, 50804, 51539, 52520, 56565, 78770, 59911, 67766, 50850, 59348, 55379, 51069, 52195, 50801, 52348, 56453, 61995, 71046, 50850, 58460, 52123, 62477, 51127, 50944, 51127, 50850, 51127, 51268, 51642, 51023, 51642, 51185, 51642, 57337, 50915, 56131, 56951, 51539, 52275, 56399, 51268, 51679, 51023, 51679, 51185, 51679, 50799, 52089, 51167, 50927, 51541, 51027, 51264, 50899, 51264, 50989, 51264, 51838, 51445, 53129, 51445, 52430, 51445, 57337, 51043, 56131, 78460, 52348, 58409, 51584, 51196, 56131, 51452, 54707, 51452, 50856, 52872, 73420, 50944, 51178, 50850, 51178, 51268, 51314, 51023, 51314, 51185, 51314, 50804, 51539, 52520, 56565, 78770, 50848, 51241, 50944, 51241, 50850, 76102, 55379, 51019, 67812, 52348, 56453, 52089, 77778, 51213, 51090, 59911, 67766, 62781, 51268, 51108, 51023, 51108, 51185, 51108, 56131, 50878, 54707, 54566, 51539, 52275, 57208, 52041, 51379, 57337, 51043, 56131, 51043, 50799, 52123, 52282, 50953, 53177, 50315, 56831, 64539, 50943, 59911, 61983, 51020, 51108, 51208, 51108, 51185, 51108, 52137, 51097, 53499, 51097, 52886, 51097, 54997, 51047, 55646, 61774, 52348, 50870, 56400, 52872, 51213, 53177, 50314, 63057, 65333, 50943, 73132, 67766, 51268, 51108, 51193, 51108, 51385, 51108, 53129, 51097, 52735, 51097, 53976, 59975, 51539, 52520, 50820, 55703, 51129, 55208, 53177, 50315, 56831, 64539, 51178, 73420, 67069, 51020, 51108, 51208, 51108, 51185, 51108, 52137, 51097, 53499, 51097, 52886, 68108, 52348, 56453, 51042, 50925, 61995, 50847, 58460, 51325, 53177, 50316, 63161, 57680, 66061, 50943, 77569, 51281, 51314, 51092, 51314, 51546, 51314, 53188, 51097, 52626, 51097, 54339, 59975, 51539, 52275, 50820, 53534, 51541, 50877, 51605, 51028, 51605, 50968, 51605, 73132, 60104, 62781, 52430, 52337, 53976, 52337, 53828, 52337, 52456, 53601, 51855, 53601, 52655, 53601, 50801, 52348, 50870, 56400, 52872, 51017, 51178, 50868, 51178, 50850, 51178, 51023, 51314, 51385, 51314, 51403, 51314, 50804, 51539, 52520, 56565, 54445, 51054, 51011, 51033, 51017, 50925, 66853, 50850, 55690, 55379, 51019, 51541, 73132, 60104, 50850, 59250, 52348, 56453, 53444, 75500, 73132, 60104, 62781, 51023, 51314, 51385, 51314, 51403, 51314, 50804, 51539, 52275, 57208, 52041, 51354, 50458 ]
[ 0, 713, 8787, 5175, 15229, 1931, 21683, 10, 32625, 13569, 9862, 6, 1969, 13, 26545, 8, 20183, 4, 590, 10, 23758, 3938, 20889, 8, 278, 11, 5, 762, 9, 274, 538, 6, 24, 1575, 10, 24897, 3222, 5785, 9, 30062, 620, 7085, 12280, 642, 6, 38668, 11212, 6, 6755, 12547, 6, 38668, 22052, 6, 8, 3459, 9590, 4, 20, 16331, 33215, 16739, 9, 230, 6, 163, 428, 6, 8, 274, 3639, 7, 63, 3366, 219, 8, 15352, 30054, 16426, 6, 442, 24, 41, 5631, 11379, 13, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 78940, 55728, 51614, 52115, 52769, 53471, 51515, 51631, 51434, 54253, 52027, 51736, 51774, 53505, 52557, 51646, 51774, 54789, 52027, 51918, 51434, 53658, 51515, 51798, 52769, 55000, 51614, 51923, 52769, 54093, 51515, 50795, 76056, 55728, 52027, 52115, 51774, 53471, 52557, 51631, 51774, 54253, 52027, 51736, 51434, 53505, 51515, 51646, 52769, 54789, 51614, 51918, 52769, 53658, 51515, 51798, 51434, 55000, 52027, 51923, 51774, 54093, 52557, 50795, 66629, 55728, 52027, 52115, 51434, 53471, 51515, 51631, 52769, 54253, 51614, 51736, 52769, 53505, 51515, 51646, 51434, 54789, 52027, 51918, 51774, 50795, 64885, 52337, 55793, 52337, 54720, 52337, 66681, 52382, 52471, 52382, 50447, 52557, 51798, 51774, 55000, 52027, 51923, 51434, 54093, 51515, 50795, 78940, 55728, 51614, 52115, 52769, 53471, 51515, 51631, 51434, 54253, 52027, 51736, 51774, 53505, 52557, 51646, 51774, 54789, 52027, 51918, 51434, 53658, 51515, 51798, 52769, 55000, 51614, 72623, 52735, 51671, 50744, 50326, 51036, 53909, 51036, 50456, 52769, 54093, 51515, 50795, 76056, 55728, 52027, 52115, 51774, 53471, 52557, 51631, 51774, 54253, 52027, 51736, 51434, 53505, 51515, 51646, 52769, 54789, 51614, 51918, 52769, 53658, 51515, 51798, 51434, 55000, 52027, 51923, 51774, 61393, 52626, 51671, 50744, 50328, 51036, 53372, 51036, 50459, 52557, 50795, 66629, 55728, 52027, 52115, 51434, 53471, 51515, 51631, 52769, 54253, 51614, 51736, 52769, 53505, 51515, 51646, 51434, 54789, 52027, 51918, 51774, 53658, 52557, 51798, 51774, 55000, 52027, 51923, 51434, 54093, 51515, 50795, 54307, 55174, 50460, 52886, 55174, 50744, 50330, 52045, 50744, 50335, 52045, 54155, 52045, 56141, 52045, 78940, 55728, 51614, 52115, 52769, 53471, 51515, 51631, 51434, 54253, 52027, 51736, 51774, 53505, 52557, 51646, 51774, 54789, 52027, 51918, 51434, 53658, 51515, 51798, 52769, 55000, 51614, 51923, 52769, 54093, 51515, 50795, 76056, 55728, 52027, 52115, 51774, 53471, 52557, 51631, 51774, 54253, 52027, 51736, 51434, 53505, 51515, 51646, 50964, 51218, 50847, 51290, 50979, 51016, 72985, 53715, 67366, 50803, 53165, 52720, 52277, 52720, 50439, 54614, 52720, 50444, 54969, 51294, 51170, 54721, 52650, 51400, 51065, 61944, 55065, 54194, 50953, 51218, 78000, 50909, 51238, 50979, 51112, 52697, 51226, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50909, 75504, 50847, 51933, 53267, 51894, 51065, 55771, 55065, 69264, 50979, 51933, 50423, 50885, 51692, 50426, 51443, 50943, 53449, 50979, 51158, 50909, 51177, 50852, 50374, 52094, 52658, 51065, 53614, 50964, 51218, 50979, 51090, 50847, 51013, 50909, 61986, 55920, 51170, 54721, 51065, 55771, 55065, 54194, 51443, 51241, 50979, 51413, 50847, 51291, 50909, 51103, 50852, 50374, 52094, 51123, 66790, 59532, 54681, 55228, 51134, 51065, 63685, 55065, 53450, 51443, 50943, 54969, 51109, 51065, 52739, 53267, 51354, 51065, 54123, 51096, 51218, 68100, 62197, 50939, 51013, 52890, 57169, 50803, 52364, 52720, 55348, 52720, 52842, 52720, 50444, 56456, 50915, 51170, 54721, 53472, 50915, 51065, 61944, 55065, 54194, 50945, 51241, 50848, 51073, 76158, 50939, 51016, 53118, 52282, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50939, 52903, 50419, 50872, 52045, 50420, 51065, 55771, 55065, 69264, 50848, 53090, 50422, 51037, 53380, 50426, 50945, 50943, 50848, 51158, 50872, 51177, 50939, 51215, 51065, 52658, 51065, 53614, 51096, 51218, 59762, 69427, 50939, 73841, 55920, 56456, 51351, 51170, 54721, 56265, 51552, 51065, 55771, 55065, 54194, 50945, 51218, 50939, 51291, 50872, 51535, 50848, 51077, 53715, 51573, 50852, 50374, 52094, 51123, 66790, 59532, 54681, 53472, 51294, 51065, 63685, 55065, 53450, 52936, 51121, 51065, 52739, 51443, 69387, 54123, 50964, 51218, 50847, 66053, 51013, 68456, 53715, 51173, 72850, 53165, 52720, 52277, 52720, 54614, 52720, 50444, 54969, 51021, 51170, 54721, 52650, 50387, 52268, 61944, 55065, 54194, 50953, 51241, 50979, 51090, 50847, 50896, 70582, 53000, 51573, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50909, 75504, 50847, 51933, 52697, 51977, 51065, 55771, 55065, 69264, 50979, 51933, 50423, 50885, 51692, 50426, 50953, 51241, 71766, 50909, 51192, 50979, 51379, 50852, 50374, 52094, 52658, 51065, 53614, 50964, 51218, 50979, 51016, 61983, 50909, 53305, 55920, 51170, 54721, 51065, 55771, 55065, 54194, 51443, 51241, 50979, 51343, 50847, 51749, 50909, 51413, 50852, 50374, 52094, 51123, 50799, 53000, 52097, 51065, 59532, 54681, 51065, 63685, 55065, 53450, 51443, 77659, 52739, 54254, 51460, 51065, 54123, 51096, 51218, 59769, 59504, 50939, 51016, 52697, 51552, 72850, 52364, 52720, 50439, 52842, 52720, 55348, 52720, 50444, 56456, 51255, 51170, 54721, 53472, 77659, 61944, 55065, 54194, 50945, 51241, 78114, 50939, 51073, 50848, 50807, 53118, 52266, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50939, 52903, 50419, 50872, 52045, 50420, 51065, 55771, 55065, 69264, 50848, 53090, 50422, 51037, 53380, 50426, 50945, 50943, 79840, 50939, 51158, 50872, 51337, 51065, 52658, 51065, 53614, 51096, 51218, 50848, 51591, 50872, 51803, 50939, 51685, 50801, 55920, 51170, 54721, 51065, 55771, 55065, 54194, 50953, 51121, 55228, 51178, 50852, 50374, 52094, 51123, 52354, 50873, 56456, 72807, 59532, 54681, 51105, 50873, 56265, 51173, 51065, 63685, 55065, 53450, 50927, 60935, 59925, 51277, 50872, 51277, 53715, 51192, 50852, 50374, 52094, 52739, 51096, 50873, 53472, 50923, 51065, 54123, 50964, 51218, 50847, 51016, 50909, 51090, 50979, 51294, 53715, 67366, 50803, 52277, 52720, 54614, 52720, 50439, 53165, 52720, 50444, 54969, 51204, 51170, 54721, 52650, 51377, 51065, 61944, 55065, 54194, 50953, 51218, 50979, 51090, 50909, 68941, 50807, 52697, 51541, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50909, 75504, 50847, 51933, 53267, 51336, 51065, 55771, 55065, 69264, 50979, 51933, 50423, 50885, 51692, 50426, 51443, 66061, 51060, 73237, 50909, 51192, 51065, 52658, 51065, 64662, 52072, 51492, 53853, 52720, 56107, 51218, 50979, 51016, 68898, 50909, 53305, 55920, 55228, 51109, 51170, 54721, 53472, 51203, 51065, 55771, 55065, 54194, 51443, 51241, 50979, 51285, 50847, 51291, 50909, 51413, 54969, 52097, 50852, 50374, 52094, 51123, 66790, 59532, 54681, 51065, 63685, 55065, 53450, 51443, 77659, 52739, 53267, 50387, 52268, 67560, 52890, 54292, 51096, 51218, 69427, 50848, 51090, 50939, 50807, 53267, 50894, 52890, 74749, 57149, 52364, 52720, 52842, 52720, 55348, 52720, 50444, 56456, 51790, 51170, 54721, 53472, 50983, 51065, 61944, 55065, 54194, 50945, 51241, 78762, 50939, 72701, 50896, 53118, 51605, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50939, 52903, 50419, 50872, 52045, 50420, 51065, 55771, 55065, 69264, 50848, 53090, 50422, 51037, 53380, 50426, 50945, 50943, 50872, 59925, 51158, 50939, 51192, 51065, 52658, 51065, 53614, 51096, 51218, 50848, 67949, 51097, 50939, 61986, 55920, 56456, 51203, 51170, 54721, 56265, 50967, 51065, 55771, 55065, 54194, 50945, 51218, 50939, 51413, 50872, 51080, 50848, 50918, 53715, 71779, 50374, 52094, 51123, 51716, 51291, 52901, 52136, 66790, 59532, 54681, 53472, 51055, 51065, 63685, 55065, 53450, 52936, 51121, 51065, 50827, 53853, 52720, 50427, 52072, 51492, 50432, 51443, 50873, 55228, 51295, 51065, 54123, 50964, 51218, 50979, 51226, 77830, 50909 ]
[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 2125, 16, 17407, 30, 63, 27841, 139, 20889, 8, 5425, 112, 73, 306, 86, 6543, 4, 20, 12280, 3275, 1725, 3109, 6, 2342, 4467, 6, 8, 6755, 12547, 35810, 561, 41, 9066, 5797, 990, 1506, 9, 2369, 6, 7630, 14805, 3156, 9, 814, 8, 11926, 4, 8504, 11, 5, 762, 9, 163, 3694, 6, 5, 33215, 16739, 9, 163, 119, 6, 211, 6, 163, 406, 73, 495, 10431, 6, 163, 119, 6, 8, 3676, 401, 3639, 5581, 7, 5, 822, 12, 3341, 5466, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50638, 52202, 51312, 51357, 51312, 50799, 51789, 51742, 51266, 51742, 50426, 51301, 50987, 51088, 50987, 51357, 51312, 52740, 50892, 52416, 50892, 52205, 50892, 54081, 54100, 51491, 50987, 51113, 50987, 53322, 50892, 53731, 50892, 52662, 50892, 53382, 53913, 51088, 51312, 51357, 51312, 51266, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51565, 50987, 51182, 50987, 51491, 51312, 51113, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 51686, 50987, 51284, 50987, 50799, 52156, 51312, 51301, 51312, 51088, 51312, 51558, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 52161, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 51789, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 51357, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 51686, 51312, 51491, 51312, 51395, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 66791, 51312, 51301, 51312, 51266, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51673, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 52156, 51312, 51088, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 52480, 51312, 51491, 51312, 51600, 51312, 51284, 51312, 51811, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 50799, 52433, 51312, 51301, 51312, 51357, 51312, 51182, 51312, 51733, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51886, 50987, 51384, 50987, 51491, 51312, 51113, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51673, 50987, 51304, 58346, 52156, 50987, 51558, 50987, 51088, 51312, 51088, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 59242, 51673, 50987, 51304, 58038, 51686, 50987, 51284, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 52156, 50987, 51558, 50987, 66791, 50987, 51182, 50987, 51301, 51312, 51357, 51312, 51266, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 60115, 51686, 50987, 51284, 58192, 52083, 50987, 51600, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51565, 50987, 51182, 58346, 51789, 50987, 51266, 50987, 51088, 51312, 51266, 51312, 51357, 51742, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51596, 50987, 51107, 50987, 51491, 51312, 51600, 51312, 53322, 50981, 53731, 50981, 52205, 50981, 54081, 50981, 60914, 58667, 51789, 50987, 51266, 50987, 72849, 51312, 51301, 51312, 51093, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 50981, 53382, 60115, 51093, 58192, 51686, 51312, 51113, 50987, 51491, 51312, 51284, 51312, 51107, 51310, 53322, 50981, 53731, 50981, 52662, 50981, 53382, 50981, 54066, 57547, 51357, 58346, 52202, 51312, 51088, 51312, 51088, 51312, 51357, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 54066, 59242, 51093, 58038, 51596, 51312, 51357, 50987, 51491, 51312, 51113, 51312, 51107, 51312, 53322, 50981, 53731, 50981, 52205, 50981, 54081, 50981, 54066, 58667, 51113, 50987, 66791, 51312, 51301, 51312, 51088, 51312, 51357, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51673, 51312, 51299, 51312, 51266, 51312, 51182, 51312, 51304, 51312, 52550, 50981, 51975, 50981, 52416, 50981, 52205, 56692, 52156, 50834, 51251, 51312, 51107, 51312, 51182, 51312, 51558, 51312, 52573, 50981, 52044, 50981, 52205, 50981, 54081, 50981, 50440, 51673, 55604, 52156, 59808, 51673, 52986, 52156, 57728, 51673, 54847, 51686, 58078, 52156, 53057, 51686, 50987, 51284, 50987, 52371, 51312, 51093, 51312, 51600, 51312, 55061, 50981, 52573, 50981, 53322, 50981, 52242, 58667, 51565, 50987, 51182, 50987, 66791, 51677, 51699, 51312, 51182, 51677, 51357, 51677, 51107, 51677, 53029, 50981, 52049, 50981, 52797, 50981, 52044, 58326, 52371, 51312, 55061, 50981, 52573, 50981, 53322, 50981, 52242, 56692, 52776, 50981, 59112, 50981, 53029, 50981, 53895, 50981, 52573, 57105, 52202, 51312, 51357, 51312, 50799, 51789, 51742, 51266, 51742, 50426, 51301, 50987, 51088, 50987, 51357, 51312, 52740, 50892, 52416, 50892, 52205, 50892, 54081, 54100, 51491, 50987, 51113, 50987, 53322, 50892, 53731, 50892, 52662, 50892, 53382, 53913, 51088, 51312, 51357, 51312, 51266, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51565, 50987, 51182, 50987, 51491, 51312, 51113, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 51686, 50987, 51284, 50987, 50799, 52156, 51312, 51301, 51312, 51088, 51312, 51558, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 52161, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 51789, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 51357, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 51686, 51312, 51491, 51312, 51395, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 66791, 51312, 51301, 51312, 51266, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51673, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 52156, 51312, 51088, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 52480, 51312, 51491, 51312, 51600, 51312, 51284, 51312, 51811, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 50799, 52433, 51312, 51301, 51312, 51357, 51312, 51182, 51312, 51733, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51886, 50987, 51384, 50987, 51491, 51312, 51113, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51673, 50987, 51304, 58346, 52156, 50987, 51558, 50987, 51088, 51312, 51088, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 59242, 51673, 50987, 51304, 58038, 51686, 50987, 51284, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 52156, 50987, 51558, 50987, 66791, 50987, 51182, 50987, 51301, 51312, 51357, 51312, 51266, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 60115, 51686, 50987, 51284, 58192, 52083, 50987, 51600, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51565, 50987, 51182, 58346, 51789, 50987, 51266, 50987, 51088, 51312, 51266, 51312, 51357, 51742, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51596, 50987, 51107, 50987, 51491, 51312, 51600, 51312, 53322, 50981, 53731, 50981, 52205, 50981, 54081, 50981, 60914, 58667, 51789, 50987, 51266, 50987, 72849, 51312, 51301, 51312, 51093, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 50981, 53382, 60115, 51093, 58192, 51686, 51312, 51113, 50987, 51491, 51312, 51284, 51312, 51107, 51310, 53322, 50981, 53731, 50981, 52662, 50981, 53382, 50981, 54066 ]
[ 0, 713, 17627, 17274, 5175, 2214, 11, 381, 538, 22750, 1626, 11098, 8, 10563, 4, 590, 10, 20889, 9, 22619, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 2877, 4, 20, 15352, 30054, 15229, 1575, 10, 16331, 33215, 16739, 9, 163, 6, 381, 6, 83, 6, 8, 381, 6, 6946, 10, 1472, 9, 2365, 7125, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50799, 56514, 55649, 56514, 53442, 56514, 56385, 51068, 53989, 51872, 50386, 53967, 50961, 50799, 56514, 56621, 56514, 55649, 56514, 53442, 50816, 50381, 54176, 51031, 60309, 53068, 51068, 53989, 52100, 50386, 53967, 55891, 50801, 58318, 51031, 53534, 51388, 52487, 52096, 55283, 51353, 52945, 52121, 55102, 51293, 51913, 50993, 52002, 51066, 59669, 51603, 58809, 51467, 52139, 64430, 50837, 52197, 50890, 51548, 50865, 51219, 50873, 51288, 51030, 68980, 52197, 50887, 51548, 50862, 51288, 50834, 51219, 53901, 66402, 58809, 51467, 51877, 50884, 52197, 50818, 57768, 51219, 50911, 51288, 52309, 72488, 51471, 52197, 65452, 51548, 50865, 77593, 51219, 55122, 51213, 50879, 58809, 51467, 52139, 50834, 52197, 54989, 66402, 53170, 50923, 52310, 50923, 51762, 52197, 50887, 51288, 66111, 61495, 51288, 50911, 51548, 51798, 51213, 50924, 54556, 50802, 52425, 50802, 58809, 51467, 52139, 50884, 52197, 50930, 51219, 55764, 62994, 52991, 51138, 51648, 51138, 51983, 52197, 50880, 51548, 50857, 51219, 60870, 56417, 51151, 52888, 51151, 52288, 51388, 58809, 51467, 52139, 50834, 52107, 54402, 54556, 50823, 52425, 50823, 51471, 52107, 52329, 59674, 58809, 51467, 51877, 50884, 52107, 52359, 77764, 53170, 51045, 52310, 51045, 51471, 52107, 50809, 51529, 50845, 58058, 51075, 53470, 51205, 50879, 58809, 51467, 52139, 50834, 52107, 50809, 51075, 50924, 51529, 50873, 51288, 51918, 59674, 52002, 50823, 51913, 50823, 51762, 52107, 50809, 51529, 50917, 58058, 62173, 75439, 51205, 50924, 58809, 51467, 52139, 50884, 52107, 50809, 51529, 50873, 51075, 50879, 51288, 52961, 64840, 51970, 52107, 50890, 51288, 50812, 51622, 50830, 52874, 65706, 55102, 51353, 53534, 51388, 55283, 52121, 51913, 50993, 52002, 51066, 59669, 51603, 58809, 51467, 52139, 50834, 52197, 50811, 51548, 50865, 51219, 50873, 51288, 51030, 68980, 52197, 50887, 51548, 50862, 51288, 50834, 51219, 53901, 66402, 58809, 51467, 51877, 50884, 52197, 50890, 57768, 51219, 50911, 51288, 52309, 72488, 51471, 52197, 62256, 51548, 50865, 77593, 51219, 55122, 51213, 50879, 58809, 51467, 52139, 50834, 52197, 54989, 66402, 52489, 50923, 52747, 50923, 51762, 52197, 50809, 51288, 66111, 61495, 51288, 50911, 51548, 51798, 51213, 50924, 51913, 50802, 52002, 50802, 58809, 51467, 52139, 50884, 52197, 50880, 51219, 55764, 62994, 52310, 51138, 53170, 51138, 51983, 52197, 50887, 51548, 50857, 51219, 60870, 54911, 51293, 53565, 51293, 53400, 51388, 52838, 51445, 58809, 51467, 52139, 50834, 52575, 55777, 52489, 50823, 52747, 50823, 51471, 79231, 70449, 51849, 50845, 51219, 54919, 72488, 58809, 51467, 51877, 50884, 52575, 54937, 51205, 50911, 53152, 51045, 52578, 64839, 51467, 50829, 79231, 51849, 50844, 51219, 50854, 51329, 52262, 50816, 57514, 51329, 54233, 51228, 50879, 58809, 51179, 52139, 50834, 79231, 51849, 50901, 56044, 53525, 53114, 72488, 51888, 50823, 52851, 54886, 51750, 50820, 52575, 50862, 51329, 50910, 51849, 50866, 51219, 50937, 60309, 51437, 57855, 51329, 50937, 51849, 50845, 51219, 54230, 51228, 50924, 58809, 51179, 52139, 50884, 52575, 61519, 51329, 50925, 51849, 58774, 51205, 60873, 51467, 50863, 79231, 51219, 78123, 52487, 52337, 55102, 51293, 53534, 51388, 52945, 52122, 51913, 50993, 52002, 51066, 59669, 51603, 58809, 51467, 52139, 64430, 50837, 52197, 50890, 51548, 50865, 51219, 50873, 51288, 51030, 68980, 52197, 50887, 51548, 50862, 51288, 50834, 51219, 53901, 66402, 58809, 51467, 51877, 50884, 52197, 50818, 57768, 51219, 50911, 51288, 52309, 72488, 51471, 52197, 65452, 51548, 50865, 77593, 51219, 55122, 51213, 50879, 58809, 51467, 52139, 50834, 52197, 54989, 66402, 53170, 50923, 52310, 50923, 51762, 52197, 50887, 51288, 66111, 61495, 51288, 50911, 51548, 51798, 51213, 50924, 54556, 50802, 52425, 50802, 58809, 51467, 52139, 50884, 52197, 50930, 51219, 55764, 62994, 52991, 51138, 51648, 51138, 51983, 52197, 50880, 51548, 50857, 51219, 50867, 52288, 51388, 52888, 51353, 56417, 51151, 58809, 51467, 52139, 50834, 52575, 54402, 51648, 50823, 52991, 50823, 51471, 79231, 51529, 50879, 51622, 50845, 51288, 54919, 59674, 58809, 51467, 51877, 50884, 52575, 52359, 77764, 54409, 51045, 51888, 51045, 51471, 79231, 51529, 51312, 51622, 51003, 51288, 61636, 51205, 50879, 58809, 51467, 52139, 50834, 52575, 52510, 59674, 60440, 50823, 52578, 50823, 51762, 52575, 78425, 50938, 51529, 50866, 51288, 50937, 51618, 57855, 51288, 50845, 51529, 54230, 51205, 50924, 58809, 51467, 52139, 50884, 52575, 78425, 50873, 50455, 51288, 58774, 64840, 54409, 51300, 51888, 51300, 51970, 52575, 50890, 51529, 50910, 51622, 76888, 51733, 51243, 53400, 51388, 54911, 53082, 55283, 53454, 53565, 52122, 58809, 51467, 52139, 50834, 53286, 50811, 51849, 50865, 51854, 50924, 52294, 50937, 68980, 53286, 50887, 52294, 50862, 51849, 50834, 51854, 53901, 72488, 58809, 51467, 51877, 50884, 53286, 50890, 52294, 50805, 51849, 50879, 51854, 51736, 51205, 50911, 52991, 50962, 51648, 50962, 51471, 52575, 56486, 54556, 50880, 52425, 62256, 53170, 56082, 52294, 50865, 51854, 50893, 51849, 55122, 51228, 50879, 52310, 56082, 58809, 51467, 52139, 50834, 52575, 54989, 72488, 51762, 79231, 52294, 78426, 61495, 51854, 50879, 52294, 51798, 51228, 50924, 58809, 51467, 52139, 50884, 52575, 50880, 51849, 52961, 51205, 50948, 51983, 52575, 50887, 52294, 50857, 51854, 50867, 53400, 51388, 51558, 51449, 58809, 51467, 52139, 50834, 52575, 50887, 68980, 79231, 52294, 50879, 51849, 50845, 51854, 54919, 72488, 58809, 51467, 51877, 50884, 52575, 54937, 51205, 50911, 51471, 79231, 51849, 50844, 51854, 50854, 52294, 59321, 51854, 54233, 51228, 50879, 55327, 51003, 56417, 50915, 53152, 51238, 58809, 51179, 52139, 50834, 54290, 50809, 51849, 50901, 52294, 60492, 72488, 58073, 51031, 54290, 50862, 52294, 50938, 51849, 50866, 51854, 50937, 50449, 51849, 50845, 51854, 54230, 51205, 50924, 54911, 50981, 55283, 51056, 52489, 50865, 53222, 51031, 55189, 50840, 52294, 50873, 50455, 51854, 58774, 51228, 50948, 52604, 50830, 51913, 52757, 50560, 51031, 53043, 50809, 51849, 50910, 52294, 66376, 58073, 51031, 53534, 51388, 52433, 50923, 53565, 50835, 55283, 52096, 54911, 51244, 52321, 63055, 53070, 52604, 50952, 56457, 66402, 52604, 51158, 58809, 51467, 51877, 50884, 51219, 50910, 52529, 50859, 51288, 78881, 52156, 59099, 72488, 56270, 51213, 50879, 52156, 50795, 52945, 51148, 55102, 51148, 52321, 52878, 66402, 51686, 50823, 69440, 53355, 66429, 51686, 61208, 51213, 50924, 58809, 51467, 52139, 50884, 52529, 50800, 78481, 51288, 55982, 53355, 55433, 62994, 51686, 51014, 51983, 53534, 51388, 52156, 51173, 54911, 51244, 53565, 51244, 52321, 67444, 58830, 52604, 58292, 66402, 58809, 51467, 51877, 50884, 51219, 50910, 52529, 50859, 51288, 56629, 72488, 51471, 50433, 52604, 78590, 51213, 50879, 52945, 51148, 55102, 51244, 52321, 52878, 66402, 52604, 51594, 79162, 50908, 53355, 66429, 52156, 58710, 51213, 50924, 58809, 51467, 52139, 50884, 52529, 50800, 78481, 51288, 55982, 53355, 70332, 51686, 52163, 62994, 51970, 53534, 51388, 52156, 51175, 54911, 51244, 52321, 55614, 53565, 51080, 51039, 56982, 52604, 61001, 66402, 58809, 51467, 51877, 50884, 51219, 50910, 52529, 50859, 51288, 56629, 72488, 52604, 51427, 56270, 51213, 50879, 52945, 51148, 55102, 51148, 52321, 52878, 66402, 52604, 50859, 69440 ]
[ 0, 250, 33928, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 6755, 12547, 6, 3459, 8669, 6, 13305, 6, 31391, 1672, 9590, 6, 8, 38668, 2236, 6, 70, 567, 561, 7, 1045, 41, 11653, 8, 2365, 12, 6928, 5466, 6, 19, 10, 11602, 9, 1619, 4780, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 15900, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 58637, 50830, 51416, 51294, 51915, 51469, 54676, 52440, 53205, 52147, 52892, 52147, 52321, 52981, 51964, 51060, 51368, 50991, 51762, 51510, 52670, 51232, 50914, 72648, 51153, 51191, 51223, 50918, 51350, 51191, 50852, 53031, 51416, 50836, 51368, 50938, 51897, 62196, 62432, 51964, 50897, 51416, 51204, 77959, 53952, 53055, 53256, 52440, 52166, 55262, 51265, 50873, 51960, 50444, 51964, 51100, 51262, 51370, 53528, 51265, 50805, 55723, 78582, 75118, 51153, 51048, 51262, 51227, 50852, 53007, 51416, 50840, 51368, 51060, 51956, 58637, 50925, 51416, 51091, 51915, 51362, 54676, 52147, 53205, 52212, 52892, 51703, 51897, 53223, 51964, 51121, 51368, 50983, 69971, 56457, 51232, 50914, 78366, 51153, 50914, 51223, 51161, 51350, 51091, 50852, 53031, 51416, 50809, 51915, 51196, 52166, 59051, 63423, 51964, 50925, 51416, 51294, 51368, 50800, 53952, 52440, 53256, 52440, 52166, 55788, 51265, 50905, 50442, 64864, 51964, 50849, 51262, 50865, 72556, 51265, 50967, 59056, 51144, 50943, 51153, 50889, 51119, 51159, 51262, 55633, 53217, 51137, 71697, 51013, 51468, 58637, 50897, 51416, 51204, 51915, 51343, 54676, 52440, 53205, 52440, 52892, 52212, 52321, 53227, 51964, 71697, 51391, 51471, 51510, 52712, 51232, 50914, 51099, 65801, 51013, 51223, 51161, 51350, 51351, 50852, 53031, 51416, 50809, 51915, 51343, 61384, 50894, 51209, 53959, 51041, 62196, 63423, 51964, 50925, 51416, 51091, 51368, 50859, 61384, 51505, 51209, 51100, 53952, 53055, 53256, 53055, 51897, 54905, 51265, 50959, 76552, 51964, 50873, 51262, 50952, 56026, 74792, 51212, 67115, 51265, 51158, 59056, 73322, 51119, 51013, 51153, 51013, 51262, 51227, 60616, 63537, 51242, 63380, 50452, 51915, 55584, 50456, 51416, 50836, 51368, 50967, 61384, 51552, 51209, 51542, 51468, 58637, 50925, 51416, 51294, 51915, 52536, 54676, 53055, 52892, 52147, 53205, 52440, 52321, 53203, 51964, 71697, 50889, 72274, 55239, 51232, 50914, 72648, 51153, 50914, 51223, 51161, 51350, 50983, 50852, 52953, 51416, 50840, 51368, 50987, 52321, 50825, 51556, 53018, 51964, 50897, 51416, 51091, 51368, 50858, 53952, 55597, 53256, 52988, 58805, 55757, 51265, 50838, 80186, 51964, 50873, 51262, 50924, 67115, 51265, 50805, 55723, 51153, 50914, 73322, 79092, 51262, 54762, 53137, 51137, 50910, 51368, 51058, 51350, 50912, 51842, 59649, 50925, 51132, 51204, 51425, 51469, 52892, 52440, 52321, 53227, 51876, 71526, 51048, 51931, 51510, 52670, 75118, 51119, 51290, 51153, 51013, 51262, 51364, 51355, 51293, 50852, 52818, 51132, 50840, 51223, 50948, 56026, 50894, 51229, 53959, 51041, 50825, 51556, 52896, 51876, 50925, 51132, 51204, 51223, 50921, 56026, 51505, 51229, 51100, 52451, 52212, 58805, 60464, 51195, 50977, 80186, 51876, 50873, 51262, 50948, 54890, 51090, 51590, 50995, 51468, 50446, 78718, 51195, 65223, 51144, 51191, 78582, 51275, 50807, 51262, 51343, 50852, 53137, 51132, 76411, 51110, 56026, 51552, 51229, 51310, 51468, 59649, 50925, 51132, 51091, 51425, 51469, 53256, 52147, 52892, 51703, 52321, 53403, 51876, 51100, 51223, 51227, 69971, 56457, 73322, 51119, 65801, 51048, 51355, 51939, 51262, 51091, 50852, 52818, 51132, 76411, 50948, 52455, 50825, 51556, 52896, 51876, 50917, 51132, 51091, 51223, 50821, 52892, 51142, 51897, 54905, 51195, 50937, 52451, 51387, 80186, 51876, 51100, 51262, 50924, 67115, 51195, 51215, 52892, 50984, 55723, 51144, 51124, 79092, 51275, 51159, 51262, 51090, 52451, 51432, 50852, 53137, 51132, 50910, 51223, 51173, 52892, 51123, 51970, 50458, 52451, 51319, 65237, 50925, 51137, 51091, 51368, 51469, 54921, 52503, 53205, 52503, 52451, 52212, 52321, 53403, 51869, 51100, 51195, 51400, 69971, 55239, 78366, 51429, 50896, 51275, 50807, 51250, 51191, 51780, 51592, 50852, 52818, 51137, 50812, 51195, 50977, 54890, 51014, 51590, 50910, 51897, 59051, 62432, 51869, 50925, 51137, 51091, 54890, 50936, 51590, 50942, 53281, 51490, 51897, 54905, 51350, 50865, 76552, 51869, 51121, 51250, 50938, 54890, 51454, 51590, 51116, 67115, 51350, 51110, 59056, 51099, 51157, 51429, 51427, 51275, 51290, 51250, 51013, 50852, 53017, 51137, 50910, 51195, 50879, 54890, 51388, 51590, 51013, 51842, 59649, 50925, 51132, 51191, 51425, 51469, 56026, 51021, 53952, 52503, 52892, 51703, 53256, 52440, 51897, 53403, 51876, 50937, 51223, 51124, 56026, 51460, 51229, 51480, 51956, 51510, 52712, 51144, 51191, 51119, 51204, 51153, 50807, 51262, 51364, 51355, 52980, 50852, 52818, 51132, 76411, 50924, 56026, 51454, 51229, 50943, 51897, 52742, 51876, 50925, 51132, 51091, 51223, 50858, 52451, 51703, 51897, 54656, 51195, 50937, 76552, 51876, 50873, 51262, 50938, 54890, 51055, 51590, 50981, 67115, 51471, 50448, 51195, 65504, 73322, 51119, 51013, 51153, 50807, 51262, 54490, 53017, 51132, 50910, 51223, 51173, 56026, 51054, 51229, 50995, 51970, 58637, 50942, 51416, 51204, 51915, 51469, 54676, 52440, 53205, 53055, 52892, 53055, 52321, 53203, 51964, 50873, 51368, 50991, 61384, 50806, 51209, 51381, 68436, 56457, 51232, 51157, 72648, 51153, 51048, 51223, 50918, 51350, 51191, 60616, 50879, 51088, 78236, 52818, 51416, 50808, 51368, 50938, 61384, 53841, 51041, 62196, 60616, 50890, 63423, 51964, 50942, 51416, 51091, 77959, 63788, 51364, 53952, 52212, 53256, 52147, 51093, 51003, 51897, 55788, 51265, 50873, 50442, 51960, 50444, 51964, 50873, 51262, 51370, 53528, 51265, 50805, 59056, 73322, 51119, 78922, 51262, 51227, 51107, 51159, 50852, 53217, 51137, 50910, 51368, 51060, 51468, 58637, 75713, 51091, 51915, 51362, 54676, 52147, 53205, 52440, 52892, 52212, 51201, 51391, 52321, 53203, 51964, 50873, 51368, 50983, 51471, 51510, 52712, 51232, 50807, 51099, 65801, 50889, 51223, 51161, 51350, 51091, 51266, 50981, 50852, 52417, 51416, 50859, 51915, 51196, 52166, 50825, 51556, 53018, 51964, 50925, 51416, 51346, 51368, 50800, 53952, 52212, 53256, 52147, 51107, 50892, 58805, 60464, 51265, 50905, 80186, 51964, 50901, 51262, 50865, 51093, 50845, 51956, 50446, 67115, 51265, 58647, 51144, 51048, 51119, 51016, 51153, 51073, 51137, 50914, 51262, 50889, 51107, 51212, 50852, 53017, 51368, 51013, 51266, 52071, 52166, 50829, 58637, 50925, 51338, 50897, 51915, 51343, 54676, 52440, 53205, 52440, 52892, 52212, 52321, 53784, 54031, 51964, 50937, 51338, 50938, 51368, 51391, 51897, 52712, 51232, 51159, 51099, 65801, 51073, 51223, 51161, 51350, 51351, 61394, 52667, 51137, 50849, 51915, 51343, 63423, 51964, 50897, 51416, 50910, 51368, 50859, 61384, 51012, 51209, 51060, 53952, 53055, 53256, 53055, 52321, 55018, 56650, 51265, 63280, 51964, 50937, 51416, 50897, 51262, 50952, 56026, 74792, 51212, 58805, 56156, 51265, 65458, 73322, 51119, 65801, 51157, 51262, 51227, 60616, 51192, 51256, 51242, 51190, 50934, 67940, 51915, 55584, 50456, 51137, 71697, 50967, 61384, 51552, 51209, 51134, 60524, 50895, 58637, 50897, 51416, 50910, 51915, 52536, 54676, 53055, 52892, 52147, 53205, 52440, 51897, 55018, 53829, 51964, 51121, 51416, 50938, 51368, 50889, 64547, 55800, 51232, 50914, 72648, 51153, 50807, 51223, 51161, 51350, 50983, 54161, 52953, 51137, 71697, 50987, 63423, 51964, 50897, 78049, 51368, 50858, 53256, 52988, 53952, 55597, 65634, 53850, 53905, 51265, 53624, 51964, 51121, 51137, 51100, 51262, 50924, 60524, 58781, 51265, 52596, 73322, 79092, 51153, 50889, 78049, 51262, 53543, 51044, 53017, 51137, 71697, 51058, 51350, 57064, 51135, 50837 ]
[ 0, 250, 32625, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 44544, 620, 7085, 12280, 642, 6, 21979, 8669, 6, 6755, 12547, 6, 2342, 4467, 6, 8, 31391, 1672, 9590, 35810, 561, 15352, 30054, 2301, 81, 10, 7212, 155, 73, 306, 20889, 11, 5, 762, 9, 230, 538, 6, 19, 5, 40286, 274, 8, 230, 1976, 10, 16634, 46336, 4811, 1328, 42, 2214, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 80054, 51034, 52907, 50923, 51132, 52369, 51425, 77690, 68696, 51014, 51065, 72207, 52143, 50923, 55429, 61177, 51883, 56351, 51014, 51065, 51014, 55703, 62591, 52143, 69702, 56351, 51014, 51065, 51014, 55894, 51014, 51065, 51014, 51034, 52907, 50923, 51132, 52369, 51425, 77690, 68696, 51014, 51065, 51014, 50417, 50697, 50344, 50962, 50418, 72466, 76249, 59886, 57188, 52143, 50923, 63951, 68936, 59202, 70394, 57545, 51130, 51014, 50423, 55372, 50949, 55802, 75564, 54723, 69356, 53647, 50949, 54428, 55229, 51883, 51054, 53436, 51130, 51014, 51065, 51014, 50427, 53039, 50949, 53000, 68388, 53260, 63043, 52697, 50962, 50430, 52566, 72149, 53267, 55736, 52890, 67725, 52650, 73312, 53118, 52374, 51014, 50435, 53748, 50962, 50436, 53472, 79737, 53715, 59266, 52143, 51054, 56265, 64116, 56351, 51014, 51065, 51014, 50439, 55039, 69431, 55228, 59120, 56456, 50962, 50442, 61534, 51739, 51014, 50443, 60131, 51354, 55894, 51014, 51065, 51014, 51034, 52907, 50923, 59861, 52311, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51206, 53501, 51065, 51014, 50415, 51673, 52369, 51093, 52369, 50420, 52143, 50923, 55429, 61177, 51883, 51054, 50885, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 62591, 52907, 60947, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 66066, 55780, 50923, 55894, 51014, 51065, 51014, 50449, 53598, 50962, 51600, 50962, 51034, 55528, 50923, 51181, 52369, 51171, 51054, 51482, 77690, 68696, 51014, 51065, 51014, 50415, 52367, 51054, 51182, 61304, 53215, 50923, 55429, 61177, 52171, 51527, 51887, 50923, 51201, 51527, 50848, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 65846, 51883, 50923, 55703, 62591, 51251, 77303, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 55894, 51014, 51065, 51014, 51034, 52433, 51552, 52602, 50923, 51266, 51552, 51727, 52369, 52021, 51054, 52447, 77690, 68696, 51014, 51065, 72207, 51887, 50923, 55429, 61177, 51251, 51527, 50848, 51054, 50872, 51054, 50939, 56351, 51014, 51065, 65846, 51886, 51603, 51107, 51603, 55703, 62591, 50848, 51054, 50872, 51054, 50939, 69702, 56351, 51014, 51065, 51014, 50441, 51673, 51014, 51093, 51014, 50445, 51827, 51021, 51165, 51021, 55894, 51014, 51065, 51014, 51034, 51673, 52311, 53215, 50923, 51093, 52311, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51065, 72207, 51887, 50923, 55429, 61177, 51299, 51527, 50885, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 62591, 50885, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 50443, 51606, 51354, 51154, 51354, 55894, 51014, 51065, 51014, 51034, 52602, 50923, 51727, 52369, 52021, 51054, 52447, 77690, 68696, 51014, 51065, 51014, 50415, 52480, 50962, 51395, 50962, 50416, 52433, 51573, 51266, 51573, 50420, 51887, 50923, 55429, 61177, 51251, 51527, 50848, 51054, 50872, 51054, 50939, 56351, 51014, 51065, 65846, 51886, 51460, 51107, 51460, 55703, 62591, 50848, 51054, 50872, 51054, 50939, 69702, 56351, 51014, 51065, 51014, 50441, 51673, 51014, 51093, 51014, 50445, 51827, 51014, 51165, 51014, 55894, 51014, 51065, 51014, 51034, 51673, 51527, 53215, 50923, 51093, 51527, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51065, 72207, 51887, 50923, 55429, 61177, 51299, 51527, 50885, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 51014, 50437, 51606, 51054, 51154, 61287, 50885, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 55894, 51014, 51065, 51014, 51034, 51565, 56073, 55780, 50923, 51088, 56073, 51137, 52369, 50988, 51054, 51368, 51454, 52055, 50407, 50791, 51014, 51065, 72207, 52830, 50923, 55429, 61177, 51699, 60164, 51054, 50847, 51054, 50939, 56351, 51014, 51065, 65846, 51638, 50923, 55703, 62591, 51251, 77303, 51054, 50847, 51054, 50939, 69702, 56351, 51014, 51065, 51014, 55894, 51014, 51065, 51014, 51034, 53215, 50923, 51349, 52369, 50946, 51054, 51265, 77690, 68696, 51014, 51065, 72207, 52830, 50923, 55429, 61177, 51699, 71840, 51054, 50868, 51054, 50847, 56351, 51014, 51065, 65846, 51794, 50923, 55703, 62591, 51686, 51054, 51301, 51054, 51113, 51054, 51017, 51054, 50868, 51054, 50847, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 55894, 51014, 51065, 51014, 51034, 52371, 50923, 51181, 52369, 51171, 51054, 51482, 77690, 68696, 51014, 51065, 51014, 50415, 51606, 52369, 51154, 52369, 50420, 51883, 50923, 55429, 61177, 51251, 77303, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 62591, 52371, 77303, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55894, 51014, 51065, 51014, 51034, 51673, 51354, 52143, 50923, 51093, 51354, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51065, 72207, 51883, 50923, 50421, 51686, 51527, 51113, 51527, 55429, 61177, 51426, 51237, 50885, 51237, 50979, 51237, 50850, 62461, 51045, 51065, 51045, 55703, 70228, 52143, 51237, 50885, 51237, 50979, 51237, 50850, 51237, 50903, 62461, 51045, 51065, 51045, 55820, 77762, 51565, 51012, 51088, 51012, 55894, 51045, 51065, 51045, 51034, 51606, 51870, 52602, 51012, 51154, 51870, 51727, 53174, 52021, 51237, 52447, 51735, 50798, 72558, 51045, 51065, 75832, 51887, 51012, 55429, 66037, 51251, 51237, 50848, 51237, 50872, 51237, 50939, 62461, 51045, 51065, 51045, 55703, 51045, 50437, 51565, 50950, 51088, 57174, 52602, 51237, 50848, 51237, 50872, 51237, 50939, 51237, 50903, 62461, 51045, 51065, 51045, 50440, 51606, 50950, 51154, 50950, 50443, 51789, 50950, 51301, 79942, 51606, 50950, 51154, 52516, 51045, 51065, 51045, 50449, 52156, 51031, 51357, 51031, 51034, 51673, 51012, 54480, 51012, 51093, 51012, 51533, 53174, 51751, 51237, 52191, 51735, 52531, 50407, 50791, 51045, 51065, 75832, 52602, 51012, 50421, 51686, 51870, 51113, 51870, 55429, 66037, 52481, 61039, 51237, 50979, 51237, 50847, 62461, 51045, 51065, 68981, 51794, 51012, 55703, 70228, 51154, 51237, 51017, 51237, 50979, 51237, 50847, 51237, 50903, 62461, 51045, 51065, 51045, 55820, 77762, 51565, 51012, 51088, 51012, 55894, 51045, 51065, 51045, 51034, 51606, 51237, 51154, 51237, 52371, 51870, 51181, 53174, 51171, 51237, 51482, 51735, 50798, 72558, 51045, 51065, 51045, 55429, 51045, 57189, 51237, 50872, 51237, 50850, 62461, 51045, 51065, 51045, 50427, 51686, 51761, 51113, 51761, 55703, 70228, 52143, 51237, 50848, 51237, 50872, 51237, 50850, 51237, 50903, 62461, 51045, 51065, 51045, 50443, 51673, 51505, 51093, 51505, 55894, 51045, 51065, 51045, 51034, 52171, 51237, 54333, 51237, 51201, 51237, 51857, 51237, 51791, 51237, 53180, 51045, 52531, 50407, 50791, 51045, 51065, 51045, 55429, 51045, 50425, 52433, 52512, 51266, 52512, 50426, 52830, 51237, 51374, 51870, 50848, 51237, 50868, 51237, 50992, 51237, 51726, 66363, 51045, 51065, 51045, 55703, 70228, 55780, 51237, 50848, 51237, 50868, 51237, 50992, 51237, 50903, 62461, 51045, 51065, 51045, 55820, 51045, 50445, 51886, 51012, 51107, 51012, 55894, 51045, 51065, 51045, 51034, 52480, 51031, 51395, 51031, 53215, 51237, 51844, 51237, 51688, 51237, 52331, 51045, 52531, 50407, 50791, 51045, 51065, 51045, 50415, 52433, 51735, 51266, 51735, 55429, 66037, 51886, 52512, 52371, 51237, 51107, 52512, 51181, 51870, 50885, 51237, 50848, 51237, 50944, 51237, 51482, 66363, 51045, 51065, 51045 ]
[ 0, 250, 15855, 8, 5175, 24904, 2214, 11, 83, 3694, 6, 4246, 21072, 6, 6168, 3540, 6, 21711, 102, 6, 856, 17993, 6, 8, 449, 337, 757, 3178, 4, 590, 10, 231, 73, 398, 86, 6543, 8, 10, 20902, 27841, 139, 20889, 6, 24, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 15073, 4, 20, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 12608, 3639, 7, 63, 13363, 28191, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 50, 19448, 8, 5679, 26709, 3423, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50640, 56326, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 56326, 50896, 50759, 50306, 54526, 66105, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 66105, 50896, 51540, 66105, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 60588, 50896, 50759, 50306, 54526, 61557, 50896, 50759, 50306, 51160, 50462, 60060, 60814, 61557, 50896, 51540, 56326, 50896, 50759, 50301, 51285, 50759, 50306, 68542, 56126, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 60060, 50896, 51540, 56126, 51685, 50759, 50301, 51285, 50759, 50306, 74532, 50759, 50306, 54526, 56326, 51285, 50759, 50306, 51160, 50474, 60060, 50896, 51540, 61557, 50896, 50759, 50301, 51285, 50759, 50306, 68542, 60060, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 51285, 50759, 50306, 51160, 50474, 62611, 50896, 51540, 60060, 51685, 50759, 50301, 51285, 50759, 50306, 74532, 50759, 50306, 54526, 50759, 50306, 51160, 51540, 56326, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 56326, 50896, 50759, 50306, 54526, 66105, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 66105, 50896, 51540, 66105, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 60588, 50896, 50759, 50306, 54526, 61557, 50896, 50759, 50306, 51160, 50462, 60060, 60814, 61557, 50896, 51540, 56326, 50896, 50759, 50301, 51285, 50759, 50306, 68542, 56126, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 60060, 50896, 51540, 56126, 51685, 50759, 50301, 51285, 50759, 50306, 74532, 50759, 50306, 54526, 56326, 51285, 50759, 50306, 51160, 50474, 60060, 50896, 51540, 60588, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 66105, 50896, 50759, 50306, 54526, 60588, 51285, 50759, 50306, 51160, 50474, 61557, 50896, 51540, 60060, 50806, 50759, 50306, 55419, 56326, 52247, 60060, 50896, 50759, 50306, 53585, 56126, 50896, 50759, 50306, 54526, 56326, 51685, 50759, 50306, 51160, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 60588, 51285, 50832, 51685, 50474, 66105, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 56326, 69016, 51685, 50462, 56126, 60814, 56326, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 60588, 51285, 50832, 51685, 50474, 66105, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 56326, 69016, 51685, 50462, 56126, 60814, 56326, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 60588, 51285, 50832, 51685, 50474, 66105, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 56326, 69016, 51685, 50462, 56126, 60814, 56326, 50896, 51540, 50725, 50342, 51285, 50832, 51685, 50438, 79355, 54526, 50725, 50339, 77789, 51685, 51540, 50725, 50342, 55367, 51685, 50420, 79355, 52247, 50725, 50339, 53585, 79355, 54526, 66105, 51285, 50832, 51685, 50474, 56326, 50896, 51540, 66105, 69016, 51685, 50426, 56326, 53585, 66105, 54526, 66105, 77789, 50821, 52145, 52935, 50832, 50821, 52215, 50821, 51540, 56326, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 56326, 50896, 55233, 50896, 50759, 50306, 54526, 66105, 50896, 55553, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 66105, 50896, 55553, 50896, 51540, 66105, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 60588, 50896, 55818, 50896, 50759, 50306, 54526, 61557, 50896, 53587, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 60060, 60814, 61557, 50896, 53587, 50896, 51540, 56326, 50896, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50426, 56126, 53585, 56326, 50896, 55233, 50896, 50759, 50306, 54526, 60060, 50896, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 60060, 50896, 55233, 50896, 51540, 56126, 51685, 55553, 51685, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 50759, 50306, 54526, 56326, 51285, 55233, 51685, 50759, 50306, 51160, 50832, 51685, 50474, 60060, 50896, 51540, 61557, 50896, 53587, 51685, 50759, 50306, 69016, 51685, 51240, 51685, 50426, 60060, 50896, 50759, 50306, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 51285, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50474, 62611, 50896, 55553, 50896, 51540, 60060, 51685, 55233, 51685, 50759, 50306, 69016, 51685, 51240, 51685, 50426, 50759, 50306, 53585, 50759, 50306, 54526, 50759, 50306, 51160, 50832, 51685, 51540, 56326, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 53765, 50832, 53585, 56326, 50896, 55233, 50896, 50759, 50306, 69016, 54526, 66105, 50896, 55553, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 66105, 50896, 55553, 50896, 51540, 66105, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 60588, 50896, 55818, 50896, 50759, 50306, 54526, 61557, 50896, 53587, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 60060, 60814, 61557, 50896, 53587, 50896, 51540, 56326, 50896, 55233, 51285, 50759, 50306, 51285, 50832, 53765, 56126, 69016, 53585, 56326, 50896, 55233, 50896, 50759, 50306, 69016, 54526, 60060, 50896, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 60060, 50896, 55233, 50896, 51540, 56126, 51685, 55553, 51685, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 50759, 50306, 54526, 56326, 51285, 55233, 51685, 50759, 50306, 51160, 50832, 51685, 50474, 60060, 50896, 51540, 60588, 51285, 53587, 51685, 50759, 50306, 69016, 53765, 50759, 50306, 69016, 53585, 66105, 50896, 50759, 50306, 69016, 54526, 60588, 51285, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50474, 61557, 50896, 55553, 50896, 51540, 60060, 50806, 55233, 50896, 50759, 50306, 69016, 51685, 51240, 51685, 50420, 56326, 52247, 60060, 50896, 55818, 50896, 50759, 50306, 53585, 56126, 50896, 55553, 50896, 50759, 50306, 54526, 56326, 51685, 55233, 51685, 50759, 50306, 51160, 50832, 51685, 51540, 50725, 50342, 51285, 50759, 50306, 51160, 50832, 74532, 79355, 55367, 55451, 50725, 50339, 52610, 66105, 51285, 50832, 51160, 50474, 50725, 50339, 50806, 50480, 79355, 50806, 51540, 50725, 50342, 51285, 50759, 50306, 51160, 50832, 74532, 79355, 55367, 55451, 50725, 50339, 52610, 66105, 77789, 51160, 51540, 50725, 50342, 51285, 50759, 50306, 51160, 50832, 74532, 79355, 69016, 54526, 50725, 50339, 77789, 51160, 51540, 50725, 50342, 50806, 50759, 50306, 51160, 50832, 70599, 79355, 52247, 50725, 50339, 53585, 79355, 69016, 54526, 66105, 51285, 50832, 51160, 50474, 56326, 50896, 51540, 66105, 50896, 50759, 50306, 69016, 50896, 51270, 53765, 56326, 50896, 50759, 50306, 69016, 50821, 51999, 52686, 50832, 50821, 52224, 66564, 66105, 50896, 50759, 50306, 54526, 66105, 51685, 50759, 50306, 77789, 51685, 51889, 51685, 51540, 56326, 51285, 53081, 51285, 53304, 51285, 50759, 50301, 50896, 50759, 50306, 50896, 51326, 51685, 51769, 51685, 50426, 50759, 50306, 53585, 56326, 50896, 53081, 50896, 53304, 50896, 50759, 50306, 54526, 66105, 50896, 54269, 50896, 53159, 51285, 50759, 50306, 51160, 51326, 51685, 50462, 56326, 50896, 53081, 60814, 66105, 50896, 54269, 50896, 53159, 50896, 51540, 66105, 51285, 54269, 51285, 53304, 51285, 50759, 50301, 50896, 50759, 50306, 50896, 51326, 51685 ]
[ 0, 4688, 14899, 5175, 2214, 4246, 38668, 20535, 6, 3459, 9590, 6, 29589, 6, 8, 190, 10, 12167, 1683, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 11, 230, 538, 16, 3185, 30, 10, 33215, 16739, 9, 3676, 406, 6, 230, 6, 272, 73, 495, 6, 230, 6, 8, 272, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50456, 50927, 52409, 53736, 50964, 52409, 50817, 53285, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 58144, 55843, 50927, 53547, 53736, 57951, 53285, 50860, 51479, 57474, 55229, 51069, 55166, 52050, 51636, 51361, 53442, 72035, 59194, 51180, 53595, 58144, 51636, 51453, 59426, 78247, 53285, 52651, 71791, 51069, 51331, 52639, 50964, 52590, 52050, 55232, 51069, 51052, 54034, 50927, 53925, 59194, 51180, 52568, 58144, 55843, 69302, 53285, 50860, 63616, 59194, 51881, 51732, 51615, 51732, 51711, 51732, 51039, 52630, 50748, 50289, 51732, 50748, 50304, 51732, 72035, 51011, 52590, 52050, 51636, 51361, 53294, 70593, 63616, 59194, 51180, 56385, 58144, 51636, 51453, 56924, 64343, 65931, 53285, 75159, 52651, 71791, 60378, 51011, 52715, 52437, 60418, 51133, 52590, 52050, 55232, 64343, 51011, 51052, 53593, 60264, 51271, 53925, 59194, 51180, 55254, 58144, 55843, 60264, 51271, 51858, 53736, 61262, 50803, 57951, 51133, 50803, 53285, 50823, 63616, 51479, 57474, 52630, 70593, 51011, 55075, 52050, 51636, 51361, 52676, 70593, 63616, 59194, 51180, 55245, 58144, 51636, 51453, 53736, 51069, 50817, 51011, 50817, 53285, 75159, 77416, 50417, 64343, 51011, 52244, 64343, 51011, 51052, 52630, 56372, 51133, 52590, 52050, 55232, 64343, 51011, 51052, 53785, 63166, 51271, 55276, 59194, 51572, 52267, 51068, 52625, 52568, 50801, 51928, 54886, 54508, 52465, 63359, 50817, 53285, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 58144, 55843, 50964, 50895, 50927, 53547, 53736, 57951, 53285, 50860, 51479, 57474, 55229, 51069, 55166, 52050, 51636, 51361, 53442, 72035, 59194, 51180, 53595, 58144, 51636, 51453, 59426, 78247, 53285, 50824, 51479, 57474, 52639, 50964, 52590, 52050, 55232, 51069, 51052, 54034, 50927, 53925, 59194, 51180, 52568, 58144, 55843, 69302, 52354, 52750, 52885, 52302, 50945, 51052, 52630, 58144, 61580, 58205, 51361, 54665, 51213, 52952, 62313, 51011, 52651, 72940, 51133, 50975, 51180, 55254, 50964, 55166, 52050, 51636, 73145, 52354, 52651, 71791, 50945, 51805, 53087, 58144, 61580, 58205, 51361, 53593, 51213, 52952, 63615, 59194, 51180, 53595, 50964, 51072, 58144, 55843, 69302, 52354, 52651, 71791, 50945, 51052, 55229, 58144, 61580, 58205, 51361, 54986, 51213, 52952, 66436, 51479, 54129, 51133, 50975, 51180, 53595, 50964, 55166, 52050, 51636, 51453, 50961, 52288, 52651, 51636, 68004, 51052, 52639, 50927, 55166, 52050, 55232, 51105, 51052, 54034, 70702, 50945, 52057, 59194, 53525, 52267, 50816, 51636, 60309, 52568, 51767, 65259, 63759, 64673, 50801, 52193, 69302, 64376, 50860, 51069, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 50801, 51928, 59511, 55843, 50964, 50895, 50927, 53547, 53736, 57951, 53285, 50860, 51479, 57474, 55229, 51069, 55166, 52050, 51636, 51361, 53442, 72035, 59194, 51180, 53595, 58144, 51636, 51453, 59426, 78247, 53285, 50824, 51479, 57474, 52639, 50964, 52590, 52050, 55232, 51069, 51052, 54034, 50927, 53925, 59194, 51180, 52568, 50801, 51928, 52050, 55843, 69302, 53285, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 58144, 55843, 50964, 50895, 50927, 53547, 53736, 57951, 50799, 52484, 50823, 64633, 51479, 57474, 55229, 58144, 55232, 52484, 70213, 51052, 54986, 52484, 69583, 52057, 51409, 50860, 50927, 52651, 59252, 51409, 67199, 51052, 53595, 51409, 51072, 50927, 51072, 58144, 51636, 51453, 50961, 50799, 52484, 50860, 78152, 51479, 57474, 52639, 58144, 51636, 51361, 52896, 59194, 51180, 52568, 51767, 65259, 51072, 58144, 55843, 69302, 64376, 61424, 50860, 59194, 51881, 51732, 51615, 51732, 51711, 51732, 51039, 52630, 50748, 50289, 51732, 50748, 50304, 51732, 51069, 55166, 52050, 51636, 51361, 53294, 70593, 59194, 51180, 56385, 58144, 51636, 51453, 56924, 64343, 53285, 52651, 71791, 51069, 51331, 52437, 50964, 55166, 52050, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 55254, 58144, 55843, 50927, 51858, 53736, 61262, 50803, 57951, 53285, 50823, 51479, 57474, 52630, 51069, 55075, 52050, 51636, 51361, 52676, 70593, 59194, 51180, 55245, 58144, 51636, 51453, 53736, 51069, 50817, 53285, 52651, 51636, 50417, 51069, 52244, 51069, 51052, 52630, 50964, 52590, 52050, 55232, 51069, 51052, 53785, 50927, 53925, 59194, 51572, 52267, 51068, 51858, 52568, 50801, 51928, 55720, 54508, 52465, 63359, 50817, 50799, 53043, 64753, 50811, 51023, 63499, 50811, 75049, 51069, 52590, 52885, 55265, 51020, 50811, 51023, 63499, 50811, 51403, 53213, 53043, 64753, 50961, 51023, 51139, 53578, 51020, 51031, 51023, 57272, 53043, 64753, 50811, 51023, 63499, 50811, 75049, 51069, 52590, 52050, 61580, 51020, 50811, 51023, 63499, 50811, 51403, 52726, 53043, 64753, 50811, 51023, 51156, 53116, 54843, 69112, 50817, 51023, 69454, 50811, 75049, 60378, 51479, 54129, 51020, 50811, 51023, 63499, 50811, 51403, 52940, 54843, 69112, 50803, 51023, 51052, 58781, 53043, 64753, 50811, 51023, 63499, 50811, 51403, 52768, 58144, 64673, 51020, 50803, 65541, 51092, 50803, 51403, 63428, 54794, 53043, 66631, 50817, 51023, 50811, 78247, 50799, 63548, 64753, 50811, 51023, 63499, 50811, 75049, 70593, 51479, 52302, 63548, 64753, 50811, 51023, 63499, 50811, 75049, 51069, 54589, 53087, 63548, 66631, 50811, 51023, 63499, 50811, 75049, 71155, 58144, 61580, 63548, 52119, 51020, 50803, 51023, 63499, 50803, 75049, 51069, 51052, 53593, 56361, 50811, 50927, 52057, 52947, 50811, 51083, 53432, 72940, 52947, 50817, 51282, 50817, 51083, 50817, 76086, 51023, 52267, 51282, 50811, 51083, 50811, 76086, 51023, 51156, 56156, 51282, 50811, 51083, 50803, 76086, 51023, 52768, 51401, 64311, 64753, 52750, 52050, 64673, 51282, 50823, 51083, 50803, 75425, 51023, 54178, 50964, 50895, 50927, 53547, 53736, 51023, 50817, 57951, 50799, 53043, 64753, 50811, 51023, 63499, 50811, 75049, 72035, 51479, 55265, 51020, 50811, 51023, 63499, 50811, 51403, 53213, 53043, 66631, 50961, 51023, 51139, 56828, 51020, 51031, 51023, 57272, 53043, 66631, 50811, 51023, 63499, 50811, 75049, 51069, 55166, 52050, 61580, 51020, 50811, 51023, 63499, 50811, 51403, 52726, 53043, 66631, 50811, 51023, 51156, 54986, 53043, 52952, 54843, 66631, 50817, 51023, 69454, 50811, 75049, 72035, 51479, 54129, 54843, 64753, 50811, 51023, 63499, 50811, 51403, 52940, 51020, 50803, 51023, 51052, 56156, 53043, 64753, 50811, 51023, 63499, 50811, 51403, 52768, 58144, 64673, 51020, 50803, 65541, 51092, 50803, 51403, 63428, 59426, 53043, 66631, 50817, 51023, 50811, 78247, 50799, 63548, 66631, 50811, 51023, 63499, 50811, 75049 ]
[ 0, 1121, 42, 5175, 2214, 6, 10, 38668, 483, 1239, 5, 15352, 30054, 16450, 6, 7513, 30, 5, 1844, 23225, 9, 10, 9590, 3863, 8, 5, 1428, 1370, 9, 21072, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 41, 20425, 2125, 14, 17384, 2933, 8, 3366, 219, 5938, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 1918, 6, 211, 119, 6, 8, 381, 12361, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 55750, 58306, 55594, 58306, 53907, 58306, 50461, 55750, 52147, 52998, 52147, 53787, 52147, 50796, 50436, 67753, 51703, 55594, 51703, 53907, 51703, 50459, 55750, 51671, 55594, 51671, 53907, 51671, 50796, 50458, 55750, 51148, 52998, 51148, 53787, 51148, 50796, 50433, 67753, 51145, 55594, 51145, 53907, 51145, 50457, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 66243, 58559, 60510, 62423, 51003, 50455, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 53069, 54685, 51003, 50431, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50454, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 79254, 58559, 51003, 50441, 62423, 51003, 50453, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 51809, 54685, 51003, 50428, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50451, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 69341, 58559, 56509, 62423, 57197, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50799, 54685, 51003, 50425, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50449, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 60212, 58559, 51003, 50436, 62423, 51003, 50447, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50459, 54685, 51003, 57731, 53441, 51183, 67753, 51183, 56201, 51183, 53907, 51183, 50446, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 55753, 57755, 51003, 50433, 58559, 51003, 50445, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50456, 56256, 51003, 52591, 54025, 51183, 56201, 51183, 59059, 51183, 53283, 51183, 50443, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 53069, 57755, 51003, 50430, 58559, 51003, 50442, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50454, 56256, 51003, 52177, 54025, 51183, 56201, 51183, 59059, 51183, 53283, 51183, 50441, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 51809, 57755, 51003, 50428, 58559, 51003, 50439, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50451, 56256, 51003, 51601, 54025, 51183, 56201, 51183, 59059, 51183, 53283, 64164, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 50461, 57755, 51003, 59412, 58559, 51003, 50437, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50448, 56256, 51003, 50460, 54025, 51183, 56201, 51183, 52998, 51183, 53283, 51183, 50796, 50435, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50459, 58559, 51003, 56020, 62423, 51003, 50434, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50446, 54685, 51003, 50457, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50796, 50433, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50456, 58559, 51003, 52591, 62423, 51003, 50431, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50443, 54685, 51003, 50455, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50796, 50430, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50453, 58559, 51003, 52177, 62423, 51003, 50429, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50440, 54685, 51003, 50452, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 69341, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50451, 58559, 51003, 50799, 62423, 58299, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 64164, 54685, 51003, 50449, 53441, 51003, 67753, 51183, 56201, 51183, 53907, 51183, 50461, 64451, 51003, 59412, 62423, 50901, 55750, 50901, 55594, 50901, 53907, 55998, 52189, 50809, 57008, 51594, 64733, 50798, 58321, 66936, 64526, 50798, 50882, 56875, 52853, 51010, 52177, 50798, 50882, 51510, 63043, 50798, 52262, 50816, 52189, 50890, 52129, 56112, 66936, 51010, 50452, 62471, 56032, 52189, 50803, 51809, 51728, 51104, 50836, 55429, 50930, 50428, 62471, 57671, 52516, 60681, 50798, 62120, 66936, 72634, 50798, 74717, 50816, 52853, 50811, 51601, 50798, 77287, 50816, 52374, 50811, 52389, 53917, 50816, 50950, 51450, 53247, 50816, 51864, 55059, 50816, 54208, 50798, 52935, 61718, 62959, 50798, 50930, 53069, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 63669, 58221, 58559, 57353, 51508, 57784, 62423, 50901, 50443, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52873, 59788, 62471, 50449, 54685, 50901, 50454, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 51508, 59616, 50798, 50887, 52478, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 63669, 58459, 58559, 57353, 52516, 51010, 50436, 62423, 69692, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52217, 65866, 54685, 55998, 55982, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 52304, 63574, 50798, 50880, 52177, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 56464, 50930, 50428, 58559, 57353, 51594, 69696, 62423, 50901, 50440, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 51864, 77571, 54685, 55998, 50821, 50452, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 51864, 70340, 50798, 50887, 51601, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 53005, 51010, 50427, 58559, 57353, 52374, 67725, 62423, 50901, 50439, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52217, 50962, 52129, 50882, 50445, 54685, 55125, 53441, 51003, 67753, 51003, 56201, 51003, 53907, 71491, 52633, 52884, 52613, 51225, 50836, 50799, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 62305, 55447, 58559, 57353, 51864, 52726, 62423, 50901, 50437, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 51420, 59503, 54685, 55998, 65835, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 52633, 72091, 62471, 50461, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 62305, 50811, 60212, 58559, 57353, 51594, 74172, 62423, 50901, 50436, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 51864, 62438, 54685, 55998, 60972, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 51864, 62172, 50798, 56132, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 62305, 51010, 57731, 58559, 57353, 52304, 60579, 62423, 61647, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52304, 61746, 50798, 59846, 54685, 72688, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 52853, 51010, 50452, 50801, 55136, 56850, 61688, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 51728, 51122, 51187, 50962, 51809, 50798, 54546, 58745, 58559, 55998, 54494, 51559, 71712, 50798, 54494, 61822, 62423, 76782, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52634, 52217, 59071, 54685, 55998, 54494, 62426, 53441, 51003, 67753, 51003, 56201, 51003, 53907, 51003, 52855, 51122, 51559, 78780, 52855, 51122, 62223, 58559, 51003, 55594, 51183, 59059, 51183, 53283, 51183, 57207, 50962, 52591, 57755, 57353, 51508, 55447, 58559, 54777, 54685, 50901, 55594, 51003, 53787, 51003, 55636, 58955, 51864, 56341, 56256, 55998, 51820, 54025, 51003, 56201, 51003, 59059, 51003, 53283, 71491, 51864, 79738, 50798, 52716, 62267, 58559, 51003, 55594, 51183, 59059, 51183, 53283, 51183, 57207, 51010, 53069, 57755, 57353, 52873, 50962, 50425, 58559, 50901, 50431, 54685, 50901, 55594, 51003, 53787, 51003, 55636, 58955, 52217, 51010, 50436, 50798, 60831, 56256, 50901, 50442, 54025, 51003, 56201, 51003, 59059, 51003, 53283, 71491, 52304, 59788, 50798, 65603, 58559, 51003, 55594, 51183 ]
[ 0, 250, 13363, 28191, 5175, 2214, 14, 28337, 4785, 9, 3152, 6, 2351, 41, 9066, 8, 15352, 30054, 5466, 4, 20, 15229, 6, 278, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 30853, 23, 41, 178, 5285, 20889, 4, 20, 3459, 9590, 8, 21072, 4477, 159, 10, 2705, 4811, 6, 150, 5, 38668, 11212, 6, 2342, 4467, 6, 8, 36075, 8669, 35810, 25210, 13171, 9, 2369, 4, 20, 33215, 16739, 9, 230, 6, 272, 6, 274, 401, 6, 8, 211, 3639, 5581, 7, 5, 2125, 6, 21778, 5, 30443, 7, 10, 3366, 3341, 6, 2933, 6, 8, 23975, 18747, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50796, 50799, 65638, 51184, 54522, 51732, 53953, 51184, 52693, 51009, 53361, 51732, 58009, 52132, 52707, 56231, 63678, 53405, 58009, 52520, 52707, 50837, 51510, 52373, 59825, 51843, 52369, 72886, 52497, 52707, 55028, 58009, 52373, 50863, 51361, 53940, 52707, 54034, 58009, 52373, 53018, 52507, 51009, 58009, 52497, 52707, 56755, 63678, 78223, 54697, 52707, 54673, 58009, 52373, 50863, 51382, 51239, 52859, 52707, 50863, 51647, 52373, 50863, 51453, 52497, 52707, 55053, 58009, 52373, 57243, 51854, 52431, 50799, 62251, 51184, 52583, 51184, 52507, 51036, 55831, 51422, 54240, 51692, 53136, 51161, 58009, 52132, 52707, 50837, 50778, 50273, 51748, 50752, 50282, 51469, 50417, 63678, 53405, 58009, 52520, 52707, 50837, 51510, 52373, 50863, 72886, 52497, 52707, 55028, 58009, 52373, 50863, 51361, 53940, 52707, 54034, 58009, 52373, 50863, 51658, 51539, 52497, 52707, 56755, 63678, 78223, 54697, 52707, 54673, 58009, 52373, 50863, 51382, 51239, 52859, 52707, 50863, 51647, 52373, 50863, 51453, 52497, 52707, 55053, 58009, 52373, 50863, 50799, 65638, 51184, 54522, 51732, 53953, 51184, 52693, 51009, 53361, 79220, 56630, 51239, 52240, 52543, 50834, 50752, 50283, 51469, 51402, 52535, 53403, 50801, 52348, 52275, 52543, 50834, 51510, 52535, 61494, 51843, 52369, 51302, 55164, 51392, 51700, 52543, 54883, 50801, 52348, 52535, 53063, 54530, 52543, 54606, 50801, 56630, 51187, 52543, 52766, 52507, 60288, 56630, 51239, 52139, 52543, 55604, 63678, 76578, 51792, 52543, 54368, 50801, 52348, 52543, 50829, 51382, 55164, 51392, 52100, 52543, 55007, 63678, 50829, 51453, 54147, 52139, 52543, 54794, 50801, 52707, 56172, 51854, 52431, 50799, 62251, 51184, 52583, 51184, 52507, 51036, 52375, 51101, 55831, 51422, 54240, 51692, 53136, 71377, 56630, 51239, 52240, 52543, 50834, 50778, 50273, 51748, 50752, 50282, 51469, 51402, 52535, 53203, 50801, 52348, 52275, 52543, 50829, 51510, 52535, 52762, 52375, 56369, 55164, 51392, 51700, 52543, 54883, 50801, 52348, 52535, 53063, 54530, 52543, 54606, 50801, 56630, 51406, 52543, 57405, 52375, 51423, 51658, 56630, 51179, 52139, 52543, 55604, 63678, 76578, 51792, 52373, 54492, 50801, 52348, 52543, 57723, 52375, 51884, 51382, 51750, 52100, 52694, 55351, 63678, 50863, 51453, 51792, 52707, 55397, 63678, 50891, 50799, 57697, 51184, 53460, 51732, 52693, 51184, 52684, 51184, 53583, 52240, 67152, 52245, 64264, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 54536, 56429, 51392, 51700, 52543, 54883, 52915, 55572, 52223, 52535, 53063, 53013, 50950, 54530, 52543, 54606, 52915, 51505, 53583, 52543, 50829, 51658, 52223, 52139, 52543, 55604, 63678, 50829, 52129, 51392, 51792, 52543, 54368, 50801, 52223, 52543, 52802, 54536, 56429, 51392, 52100, 52543, 55007, 52915, 50950, 63678, 53017, 53013, 58611, 52139, 52543, 54991, 53013, 51505, 50843, 52245, 50829, 50799, 64638, 51184, 53278, 51184, 52507, 51732, 53583, 52240, 52543, 56390, 52915, 51138, 66200, 53203, 53583, 52275, 52543, 50829, 51510, 52535, 50829, 78602, 51700, 52543, 54883, 50801, 52223, 52535, 53063, 54530, 52543, 54606, 53583, 52543, 52766, 51143, 61725, 52223, 52139, 52543, 55604, 63678, 50829, 52129, 51392, 51792, 52543, 54368, 50801, 52223, 52543, 53057, 51344, 50981, 56319, 52100, 52543, 55007, 63678, 50834, 51453, 51792, 52543, 54794, 53583, 52543, 50834, 50799, 65638, 51184, 54522, 51732, 52693, 51184, 52341, 51172, 53583, 52240, 52543, 50834, 50752, 50283, 51469, 51402, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 51843, 51419, 56319, 51700, 52543, 54883, 53445, 55572, 52223, 52535, 53063, 53453, 50950, 54530, 52543, 54606, 53445, 54168, 51392, 52543, 52766, 53453, 65426, 52223, 52139, 52543, 55604, 63678, 53162, 53445, 55719, 51392, 51792, 52543, 54368, 53453, 65426, 52223, 52543, 50829, 51899, 51392, 52100, 52543, 55007, 52915, 50950, 63678, 53017, 53453, 78053, 51792, 52543, 54991, 63678, 50829, 50799, 62251, 51184, 52583, 51184, 55831, 51422, 54240, 51692, 53136, 51161, 53583, 52240, 52543, 50834, 50778, 50273, 51748, 50752, 50282, 51469, 51402, 52535, 53203, 53583, 52275, 52543, 50829, 51510, 52535, 50829, 78602, 51700, 52543, 54883, 50801, 52223, 52535, 53063, 54530, 52543, 54606, 53583, 52543, 50829, 51658, 52223, 52139, 52543, 55604, 63678, 50829, 52129, 51392, 51792, 52543, 54368, 50801, 52223, 52543, 53057, 53926, 51090, 56319, 52100, 52543, 55007, 63678, 52920, 50852, 52139, 52543, 54794, 50843, 52245, 50834, 50799, 57697, 51184, 53460, 51732, 52693, 51184, 52684, 51184, 52375, 51295, 53583, 52240, 52543, 64264, 52535, 53403, 51634, 51177, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 51288, 51318, 52155, 56429, 51392, 51700, 52543, 54883, 51752, 55572, 52223, 52535, 53063, 51634, 51109, 51596, 50950, 54530, 52543, 54606, 51752, 51505, 53583, 52543, 52766, 52375, 69880, 52223, 52139, 52543, 55604, 63678, 53162, 51634, 51177, 53583, 51792, 52543, 54368, 50801, 52223, 52543, 52802, 51288, 51422, 52155, 56429, 51392, 52100, 52543, 55007, 51752, 50950, 63678, 53017, 51634, 51790, 51596, 58611, 52139, 52543, 54991, 51596, 51505, 50843, 52245, 50829, 50799, 64638, 51184, 53278, 51184, 52507, 51184, 53583, 52240, 52543, 57666, 53091, 51562, 50417, 51752, 51138, 66200, 53203, 55199, 51134, 53583, 52275, 52543, 50829, 51510, 52535, 50829, 78602, 51700, 52543, 54883, 50801, 52223, 52535, 53063, 54530, 52543, 54606, 55873, 53630, 51392, 52543, 52766, 55873, 59621, 52223, 52139, 52543, 58159, 53091, 51878, 50441, 63678, 53162, 58128, 50974, 53583, 51792, 52543, 54368, 50801, 52223, 52543, 53057, 55199, 50905, 56319, 52100, 52543, 55007, 63678, 52920, 55873, 51423, 50791, 51792, 52543, 54794, 53583, 52543, 50834, 50799, 65638, 51184, 54522, 51184, 52693, 51184, 52507, 51184, 58128, 51680, 53091, 51680, 53583, 52240, 52543, 50834, 50752, 50283, 51469, 51402, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 50834, 78602, 51700, 52543, 54883, 52182, 55572, 52223, 52535, 53063, 52315, 50950, 54530, 52543, 54606, 52182, 54168, 51392, 52543, 52766, 52315, 65426, 52223, 52139, 52543, 55604, 63678, 53162, 52182, 55719, 51392, 51792, 52543, 54368, 52315, 65426, 52223, 52543, 50829, 51899, 51392, 52100, 52543, 55007, 52315, 50950, 63678, 53017, 52315, 55051, 52139, 52543, 54991, 50843, 52245, 50829, 50799, 56643, 51184, 54522, 51184, 52583, 51184, 52507, 51184, 55831, 51422, 54240, 51692, 53136, 51161, 53583, 52240, 52543, 50834, 50778, 50273, 51748, 50752, 50282, 51469, 51402, 52535, 53203, 51843, 53579, 51392, 52275, 52543, 54104, 51843, 51594, 52535, 50829, 78602, 51700, 52543, 57334, 51075, 51021, 50429, 50801, 52223, 52535, 53063, 51843, 50930, 54530, 52543, 54606, 51843, 53579, 51392, 52543, 52766, 51075, 52862, 52223, 52139, 52543, 55604, 63678, 53162, 51843, 53690, 51392, 51792, 52543, 54368, 51843, 53558, 52223, 77812, 53301, 53057, 51075, 50948, 56319, 75615, 51903, 52543, 55007, 63678, 52920, 51843, 50887, 52029, 51901, 51700, 52543, 57059, 51843, 57661, 53583, 52543, 56842, 51616, 51151, 50799, 52583, 51184, 52693, 51184, 53361, 51184, 51186, 53241, 51348, 51313, 51222, 51243, 54963, 51313, 51557, 51359, 53583, 52240, 67152, 52245, 57666, 51075, 51036, 51083, 52379, 51402, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 53453 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 231, 73, 398, 86, 6, 278, 11, 5, 762, 9, 163, 428, 538, 4, 83, 13305, 5723, 5, 8859, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 20, 33215, 16739, 9, 163, 428, 6, 163, 43531, 401, 6, 12608, 6, 8, 230, 31473, 41, 3722, 2842, 7, 42, 2125, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50622, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 56931, 56962, 54666, 51646, 50997, 60821, 55890, 56793, 52728, 50997, 59153, 57055, 58750, 60773, 50997, 59153, 57055, 55695, 59369, 50997, 65757, 57055, 72400, 51540, 51197, 52382, 50997, 52382, 50956, 52382, 50861, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 58509, 56962, 54666, 51646, 50997, 59153, 58750, 56793, 52728, 50997, 59153, 72778, 51147, 60773, 50997, 60821, 56793, 61241, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 51001, 52382, 50474, 50997, 64823, 60110, 50902, 72909, 50997, 64823, 54828, 57367, 50795, 51540, 50997, 76602, 72868, 50983, 50931, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 59153, 58750, 59351, 52728, 50931, 65757, 65842, 72025, 50918, 50462, 51001, 59369, 50997, 65757, 58750, 64953, 51540, 51197, 65757, 55890, 63161, 52382, 50426, 51197, 75628, 65287, 52424, 51197, 60339, 58750, 52728, 51197, 50918, 50997, 61336, 77747, 51026, 58509, 56730, 57367, 72909, 51026, 58509, 56730, 55673, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 58509, 56962, 54666, 51646, 51176, 60821, 58750, 55695, 52728, 51176, 60821, 55695, 63161, 60773, 51176, 60821, 56793, 56831, 59369, 51176, 60821, 58750, 72778, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 50906, 52382, 50474, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 57367, 50795, 51540, 51197, 76603, 74726, 50983, 50951, 57345, 51197, 58509, 56730, 57022, 51646, 51197, 60821, 56793, 61241, 52728, 51197, 60821, 56793, 61241, 60773, 51197, 60821, 72778, 51147, 59369, 51197, 60821, 56793, 61241, 50807, 51540, 51176, 60821, 58750, 55695, 52382, 70562, 60821, 58750, 52424, 51176, 60821, 58750, 52728, 51176, 72424, 72025, 77747, 51176, 58509, 54666, 59688, 72909, 51176, 58509, 54666, 59688, 50795, 51540, 50997, 76603, 74726, 50983, 50951, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 60821, 55890, 63161, 52728, 50997, 59153, 58750, 56793, 60773, 50997, 57055, 58750, 56831, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50997, 52382, 50861, 52382, 51001, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 56931, 56962, 54666, 51646, 50997, 60821, 55890, 56793, 52728, 50997, 59153, 57055, 58750, 60773, 50997, 59153, 57055, 55695, 59369, 50997, 65757, 57055, 72400, 51540, 51197, 52382, 50997, 52382, 50956, 52382, 50861, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 58509, 56962, 54666, 51646, 50997, 59153, 58750, 56793, 52728, 50997, 59153, 72778, 51147, 60773, 50997, 60821, 56793, 61241, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 51001, 52382, 50474, 50997, 64823, 60110, 50902, 72909, 50997, 64823, 54828, 57367, 50795, 51540, 50997, 76602, 72868, 50983, 50931, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 59153, 58750, 59351, 52728, 50931, 65757, 65842, 72025, 50918, 50462, 51001, 59369, 50997, 65757, 58750, 64953, 51540, 51197, 65757, 55890, 63161, 52382, 50426, 51197, 75628, 65287, 52424, 51197, 60339, 58750, 52728, 51197, 50918, 50997, 61336, 77747, 51026, 58509, 56730, 57367, 72909, 51026, 58509, 56730, 55673, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 58509, 56962, 54666, 51646, 51176, 60821, 58750, 55695, 52728, 51176, 60821, 55695, 63161, 60773, 51176, 60821, 56793, 56831, 59369, 51176, 60821, 58750, 72778, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 50906, 52382, 50474, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 57367, 50795, 51540, 51197, 76603, 74726, 50983, 50951, 57345, 51197, 58509, 56730, 57022, 51646, 51197, 60821, 56793, 61241, 52728, 51197, 60821, 56793, 61241, 60773, 51197, 60821, 72778, 51147, 59369, 51197, 60821, 56793, 61241, 50807, 51540, 51176, 60821, 58750, 55695, 52382, 70562, 60821, 58750, 52424, 51176, 60821, 58750, 52728, 51176, 72424, 72025, 77747, 51176, 58509, 54666, 59688, 72909, 51176, 58509, 54666, 59688, 50795, 51540, 50997, 76603, 74726, 50983, 50951, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 60821, 55890, 63161, 52728, 50997, 59153, 58750, 56793, 60773, 50997, 57055, 58750, 56831, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50997, 52382, 50861, 52382, 51001, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 56931, 56962, 54666, 51646, 50997, 60821, 55890, 56793, 52728, 50997, 59153, 57055, 58750, 60773, 50997, 59153, 57055, 55695, 59369, 50997, 65757, 57055, 72400, 51540, 51197, 52382, 50997, 52382, 50956, 52382, 50861, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197 ]
[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3495, 6, 6670, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 38668, 11212, 8, 22052, 6, 3459, 8669, 6, 18558, 6, 8, 31391, 1672, 9590, 11739, 21040, 9997, 6, 150, 5, 7212, 20889, 9, 5962, 13410, 228, 2289, 11, 204, 73, 306, 86, 6543, 4719, 5, 2125, 12741, 17359, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 6, 5, 33215, 16739, 9, 163, 428, 6, 274, 6, 12608, 17992, 7, 63, 32625, 13569, 9862, 6, 442, 24, 10, 1969, 1349, 13, 10963, 24088, 50, 6218, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50799, 52233, 52096, 52606, 51801, 51716, 52096, 52471, 52337, 53034, 52096, 53560, 75240, 53560, 58671, 53560, 66182, 53560, 55394, 53560, 59993, 53560, 56037, 53560, 64783, 53560, 53272, 53560, 61822, 53560, 58594, 53560, 64205, 53560, 54860, 53560, 61075, 53560, 56524, 53560, 59380, 53560, 53945, 53560, 66116, 53560, 57917, 53560, 61285, 53560, 54394, 53560, 59763, 53560, 57291, 53560, 58914, 53560, 53996, 53560, 64732, 53560, 60554, 53560, 64461, 53560, 55370, 53560, 59972, 53560, 56551, 53560, 60863, 53560, 50864, 50799, 53560, 79171, 53560, 59834, 53560, 64523, 53560, 55772, 53560, 62488, 53560, 55470, 53560, 60417, 53560, 53272, 53560, 66796, 53560, 59399, 53560, 75988, 53560, 54854, 53560, 64248, 53560, 57869, 53560, 59380, 53560, 53980, 52879, 67203, 52879, 57917, 52879, 61285, 52879, 55368, 52879, 63319, 52879, 56197, 52879, 58914, 52879, 53996, 58622, 66056, 58622, 57186, 58622, 62356, 58622, 55735, 58622, 66460, 58622, 59934, 58622, 60863, 58622, 50971, 50799, 57380, 51717, 53560, 50886, 50416, 53560, 64280, 53560, 68353, 53560, 54819, 53560, 62488, 53560, 57559, 53560, 64942, 53560, 54317, 53560, 77045, 53560, 59399, 53560, 66059, 53560, 54854, 53560, 62692, 53560, 59068, 53560, 64964, 53560, 54728, 53560, 66116, 53560, 61173, 53560, 61285, 53560, 55434, 53560, 63319, 53560, 57291, 53560, 69698, 53560, 54915, 53560, 64732, 53560, 60554, 53560, 64461, 53560, 55370, 53560, 59972, 53560, 56551, 53560, 60863, 53560, 50864, 50799, 53560, 71768, 53560, 59834, 53560, 70843, 53560, 55772, 53560, 62488, 53560, 57559, 53560, 64942, 53560, 54317, 53560, 77045, 53560, 59399, 53560, 75988, 53560, 55286, 53560, 63520, 53560, 57039, 53560, 65219, 53560, 54728, 58725, 50941, 50440, 58725, 63231, 58725, 69869, 58725, 55368, 58725, 63319, 58725, 57291, 58725, 63155, 58725, 54939, 53560, 78127, 53560, 60554, 53560, 64461, 53560, 55735, 53560, 59972, 53560, 56551, 53560, 58449, 54064, 52122, 52072, 51801, 53560, 50864, 50799, 52547, 52096, 52879, 75245, 52879, 62399, 52879, 70843, 52879, 55772, 52879, 62488, 52879, 57559, 52879, 64942, 52879, 54317, 52879, 77045, 52879, 59399, 52879, 66059, 52879, 54854, 52879, 62692, 52879, 59068, 52879, 64964, 52879, 54728, 52879, 66116, 52879, 61173, 52879, 61285, 52879, 55434, 52879, 63319, 52879, 57291, 52879, 69698, 52879, 54915, 52879, 64599, 52879, 57186, 52879, 62356, 52879, 54232, 52879, 59972, 52879, 59934, 52879, 60863, 52009, 51717, 52879, 50904, 50799, 52879, 75245, 52879, 62399, 52879, 70843, 52879, 54819, 52879, 68684, 52879, 56295, 52879, 64462, 52879, 54654, 52879, 70898, 52879, 61036, 52879, 64463, 52879, 55487, 52879, 62692, 52879, 59068, 52879, 66861, 52879, 55108, 52146, 76428, 52146, 63231, 52146, 67762, 52146, 55368, 52146, 63319, 52146, 57291, 52146, 63155, 52146, 54939, 51891, 79859, 51891, 60754, 51891, 68935, 51891, 55735, 51891, 66460, 51891, 59934, 51891, 60863, 51891, 50971, 50799, 64724, 52122, 52391, 50971, 50416, 52391, 70261, 52391, 51000, 50419, 52391, 55650, 52391, 66806, 52391, 58116, 52391, 64761, 52391, 54689, 52391, 70898, 52391, 61036, 52391, 64463, 52391, 55487, 52391, 62692, 52391, 59068, 52391, 64964, 52391, 55108, 52391, 76428, 52391, 63780, 52391, 69869, 52391, 55434, 52391, 70042, 52391, 57291, 52391, 71487, 50773, 50285, 51894, 50449, 52391, 54939, 52391, 78127, 52391, 61096, 52391, 68935, 52391, 55293, 52391, 62298, 52391, 61545, 52391, 65540, 52391, 50971, 50799, 52391, 50971, 50416, 52391, 66981, 52391, 51000, 50419, 52391, 58333, 52391, 67643, 52391, 63521, 52391, 69645, 52391, 56323, 52391, 72925, 52391, 68364, 52391, 51126, 50431, 52391, 60838, 52391, 75116, 52391, 66129, 52391, 70008, 52391, 60438, 52391, 78692, 52391, 74594, 52391, 51128, 50443, 52391, 62232, 52391, 77388, 52391, 67676, 52391, 51297, 50449, 52391, 60258, 52391, 51297, 50452, 52391, 51297, 50453, 52391, 51297, 50455, 52391, 61114, 52391, 51319, 50458, 52391, 67084, 52391, 51319, 50461, 52391, 51319, 54293, 52121, 57381, 50937, 58270, 50419, 54645, 57629, 54645, 60330, 53063, 54645, 54975, 50920, 54189, 59601, 51212, 57702, 50834, 50740, 50331, 68464, 52290, 50866, 51722, 50955, 50740, 50335, 50987, 50461, 59601, 51212, 50799, 51722, 51542, 52290, 51391, 57718, 50740, 50336, 51006, 50419, 50740, 50331, 51212, 50420, 50740, 50335, 51884, 50425, 50740, 50335, 50987, 55057, 59651, 50740, 50336, 57018, 51567, 51775, 53811, 51645, 59601, 52731, 50437, 50740, 50335, 51884, 50438, 50920, 53858, 51722, 51097, 52290, 51097, 50449, 59601, 52731, 57702, 53555, 57381, 50845, 55609, 52121, 59394, 68680, 54213, 54486, 50955, 50425, 54486, 50978, 55057, 53063, 54486, 51363, 50438, 50920, 54189, 53953, 54058, 73550, 54165, 53586, 51567, 50978, 53811, 51058, 53465, 78971, 53953, 50892, 50799, 51567, 51391, 53811, 51542, 57718, 56679, 51177, 50419, 54165, 54644, 53465, 51051, 50425, 53465, 50977, 55057, 50834, 54165, 51862, 50431, 56679, 67772, 51612, 51253, 53755, 50915, 53465, 52731, 50437, 53465, 58946, 58270, 50443, 54165, 51862, 50444, 51567, 51097, 53811, 51709, 53465, 65589, 53465, 52731, 57702, 60570, 56716, 51423, 50461, 55562, 51101, 53465, 51004, 54983, 52096, 58270, 50419, 54645, 57104, 54645, 69163, 53063, 54645, 54975, 50920, 54189, 53361, 51212, 57702, 50834, 53679, 66913, 55796, 73827, 53361, 51212, 50799, 57718, 59601, 51328, 50419, 53679, 51242, 50420, 67931, 50972, 50425, 55796, 53770, 73550, 59601, 51074, 50431, 59601, 75925, 54645, 51006, 55796, 51365, 50437, 67931, 54938, 59394, 51212, 51567, 51043, 58270, 53679, 51824, 50443, 59601, 59837, 59601, 52192, 50446, 57381, 51233, 51722, 51212, 50449, 55796, 51365, 57702, 50863, 55796, 51252, 50454, 55562, 51233, 51986, 51645, 50455, 53361, 51550, 53679, 51824, 50461, 59601, 52192, 54293, 53082, 59394, 51047, 51567, 51314, 58270, 50419, 55796, 78269, 53361, 51550, 55057, 53040, 57381, 52151, 51722, 51314, 50920, 54189, 59601, 56989, 73550, 50740, 50331, 77146, 50740, 50335, 67163, 59601, 51074, 50799, 57718, 50740, 50336, 50892, 50419, 50740, 50331, 51481, 50420, 50740, 50335, 50905, 50425, 50740, 50335, 52688, 73550, 50740, 50331, 50972, 50431, 50740, 50336, 54100, 59601, 51210, 50437, 50740, 50335, 54137, 58270, 50740, 50335, 51432, 50443, 50740, 50331, 57997, 51727, 51079, 50740, 50331, 52179, 50449, 59601, 62911, 51338, 55468, 50863, 59601, 51269, 50455, 50740, 50335, 51432, 50456, 51533, 50978, 50461, 50740, 50331, 52179, 54293, 52121, 51436, 50822, 57381, 50937, 58270, 50419, 54645, 50942, 59601, 64080, 51436, 57252, 51436, 52101, 54645, 60330, 53063, 51436, 51524, 54645, 54975, 51436, 74252, 54189, 51436, 51123, 59601, 67426, 51436, 61005, 50834, 50740, 50331, 68464, 51436, 50907, 52290, 50866, 51722, 50955, 50740, 50335, 50987, 50461, 59601, 51212, 50799, 51436, 50827, 51513, 50851, 51722, 51542, 52290, 51391, 57718, 50740, 50336, 51006, 50419, 50740, 50331, 51212, 50420, 51436, 50907, 50740, 50335, 51884, 50425, 50740, 50335, 58192, 51436, 57821, 59651, 50740, 50336, 57018, 51436, 51524, 51513, 50933, 51567, 51775, 53811, 51645, 59601, 52731, 50437, 50740, 50335, 51884, 50438, 51436, 63873, 53858, 51436, 51297, 51722, 51097, 52290, 51097, 50449, 59601, 52731, 50450, 80172, 51513, 51524, 50843, 53555, 80172, 57381, 50845 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 7212, 20889, 6, 278, 11, 5, 762, 9, 12608, 3694, 8, 4246, 10, 204, 73, 306, 86, 6543, 4, 20, 15229, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 5, 1007, 9, 657, 7, 5, 36474, 13005, 9, 26545, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 163, 428, 6, 2060, 401, 6, 274, 119, 6, 8, 274, 10431, 119, 1176, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 52046, 51036, 51197, 51036, 51001, 52115, 50906, 51631, 51001, 51736, 50906, 51646, 51001, 51918, 50906, 51798, 51001, 51923, 50906, 50795, 75697, 51036, 51360, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 71910, 51036, 51234, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 50799, 54637, 51036, 51324, 51036, 50973, 52115, 50906, 51631, 50973, 51736, 50906, 51646, 50973, 51918, 50906, 51798, 50973, 51923, 50906, 50795, 61504, 51036, 51197, 51036, 51001, 52115, 50906, 51631, 51001, 51736, 50906, 51646, 51001, 51918, 50906, 51798, 51001, 51923, 50906, 50795, 75697, 51036, 51360, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 71910, 51036, 51234, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 50799, 54637, 51036, 51324, 51036, 50973, 52115, 50906, 51631, 50973, 51736, 50906, 51646, 50973, 51918, 50906, 51798, 50973, 51923, 50906, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 8787, 3495, 8, 5175, 15229, 6, 42, 15352, 30054, 2125, 7630, 6568, 10, 1472, 9, 26545, 8, 657, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 8504, 11, 83, 3694, 19, 10, 2635, 20889, 9, 1812, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 8, 1918, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 51120, 51492, 54578, 56039, 50916, 51413, 50459, 50900, 50867, 55331, 51472, 50899, 52821, 50437, 51146, 51189, 50455, 51062, 73827, 51220, 51189, 77033, 50951, 69876, 50999, 51058, 50437, 50871, 51183, 50440, 50951, 58991, 50999, 52071, 54594, 51413, 50435, 50916, 58566, 50899, 51492, 50439, 50902, 50918, 62529, 51413, 50435, 51062, 57577, 51220, 51218, 50456, 50951, 50987, 50460, 50999, 51006, 52177, 50951, 68655, 50999, 53413, 57019, 51127, 55524, 51413, 50435, 50900, 54957, 50902, 65842, 52903, 62529, 79763, 51062, 54137, 51220, 51115, 50455, 50951, 73316, 50999, 50987, 54578, 51127, 50416, 64075, 50419, 50999, 51313, 57267, 51562, 50458, 61022, 54206, 51469, 50416, 50902, 51413, 50438, 51146, 51127, 55331, 50811, 51120, 51285, 51120, 68900, 51103, 51340, 51610, 50981, 50417, 50902, 52734, 50951, 50880, 67813, 54252, 50999, 52207, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 50890, 51892, 50431, 50951, 56629, 50951, 50890, 67813, 54378, 50999, 51045, 53673, 50437, 50968, 60610, 51120, 51285, 51026, 50918, 51340, 51610, 77052, 50902, 54952, 50951, 50962, 67813, 55118, 50999, 52153, 54626, 50931, 50975, 51340, 51610, 50981, 51647, 53820, 67813, 50822, 74263, 55331, 53819, 50294, 51472, 50931, 51244, 51120, 51196, 51340, 51610, 50981, 50417, 50902, 55180, 50951, 50962, 67813, 54252, 50999, 52633, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 51864, 63605, 50951, 55736, 50951, 50890, 67813, 54378, 50999, 51805, 73425, 50951, 51244, 66240, 51364, 51026, 50918, 51340, 51610, 77052, 50902, 52284, 50951, 50962, 67813, 55118, 50999, 51864, 54626, 51146, 50975, 51340, 51610, 50981, 51647, 53820, 67813, 50822, 74263, 55331, 50811, 51120, 51285, 51120, 51336, 50999, 51080, 51340, 51610, 50981, 50417, 50902, 52734, 50951, 50880, 67813, 54252, 50999, 52207, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 50890, 51892, 50431, 50951, 56629, 50951, 50890, 67813, 54378, 50999, 51045, 53673, 66240, 51285, 51026, 50918, 51220, 51148, 51340, 51610, 77052, 50902, 54952, 50951, 50962, 67813, 55118, 50999, 52153, 54626, 50931, 50975, 51340, 51610, 50981, 51647, 53820, 67813, 50822, 74263, 55331, 53819, 50294, 51472, 51120, 50918, 51120, 50918, 51062, 51244, 51340, 51610, 50981, 50417, 50902, 55180, 50951, 50962, 67813, 54252, 50999, 52633, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 51864, 63605, 50951, 55736, 50951, 50890, 67813, 54378, 50999, 51805, 54584, 51120, 51336, 51120, 51336, 51146, 51148, 51935, 52526, 50930, 51382, 55577, 51935, 52526, 50930, 68176, 51091, 51085, 51091, 51935, 52526, 72255, 51062, 51310, 51302, 56629, 51214, 55362, 51214, 55362, 51146, 53363, 51935, 52526, 50930, 50796, 52320, 50932, 51647, 56109, 51275, 52167, 50852, 50981, 50459, 51435, 51319, 58359, 69858, 51517, 50294, 51183, 71578, 50877, 51244, 51578, 51862, 50801, 55456, 54772, 56624, 51236, 50851, 54569, 62252, 51879, 50282, 51116, 51578, 51851, 78169, 51027, 51191, 51895, 51369, 65145, 51578, 54848, 50426, 51120, 62265, 51594, 55658, 50899, 62465, 62073, 52658, 51799, 69180, 50845, 51275, 51851, 51190, 51372, 54378, 51799, 52236, 50294, 50840, 51435, 51319, 51895, 51372, 53269, 51214, 73587, 61434, 68839, 50866, 51516, 52192, 51976, 55210, 53103, 50861, 76509, 69180, 50959, 62958, 79623, 51214, 51235, 51516, 51851, 67813, 50810, 51618, 77047, 51516, 53010, 50450, 51062, 74540, 62265, 51594, 55874, 50861, 67046, 51879, 50327, 64792, 66968, 51275, 66614, 51214, 61930, 50855, 61620, 63105, 51435, 79440, 50999, 75978, 52717, 50299, 53345, 51420, 55073, 50851, 58359, 73587, 51517, 50294, 51183, 71578, 50877, 51244, 51516, 52192, 51976, 55210, 56624, 51236, 50851, 54569, 66824, 60611, 50809, 51799, 51235, 51516, 51851, 78169, 51027, 51191, 51578, 51319, 51895, 51369, 50810, 51302, 51594, 59749, 51516, 52192, 50429, 50899, 62847, 68344, 55850, 52658, 51799, 66675, 50845, 51435, 51297, 51190, 51372, 54112, 51799, 52717, 50294, 50904, 51895, 51372, 65598, 51275, 54228, 50438, 51214, 50821, 50861, 71169, 51183, 50973, 51145, 50902, 51244, 51976, 55210, 56358, 51236, 53743, 50861, 76509, 51879, 50287, 51116, 67813, 54672, 50899, 51191, 53673, 50450, 51062, 74540, 62265, 51594, 55874, 50861, 67046, 51879, 50327, 54232, 51214, 67495, 61368, 50845, 51275, 62071, 55300, 54678, 50999, 75978, 52236, 50299, 50840, 51435, 50365, 51657, 50851, 58359, 50821, 51120, 51127, 51578, 52192, 51976, 55210, 56624, 51236, 50851, 54569, 65124, 51804, 50282, 51116, 51578, 51319, 78169, 51027, 51241, 51895, 51369, 65145, 51578, 53726, 51302, 51594, 55658, 51236, 58779, 50899, 60953, 52927, 51799, 69180, 59704, 50974, 51275, 51550, 51190, 51372, 54378, 51799, 50880, 51435, 51319, 51895, 51372, 65598, 51120, 54927, 51214, 69858, 61434, 68839, 50866, 51516, 52192, 51976, 55210, 53103, 50861, 72475, 74336, 50959, 62958, 79623, 51214, 51116, 51516, 51319, 67813, 54803, 51516, 53726, 53673, 50450, 51062, 54472, 51594, 55874, 51220, 64792, 65732, 50861, 65921, 53173, 51214, 67495, 50855, 51275, 51319, 61620, 54846, 50999, 75978, 50880, 51435, 75307, 51420, 55073, 65019, 51026, 50941, 58359, 50921, 51027, 52015, 50899, 52140, 50871, 51662, 50877, 51662, 51120, 51313, 51516, 51862, 51976, 55210, 56624, 51236, 54711, 50871, 66877, 63100, 50809, 51799, 50980, 51516, 51319, 78169, 51435, 51319, 51895, 51369, 52654, 51516, 51862, 50804, 51594, 55658, 50877, 68411, 60365, 59004, 52658, 51799, 50836, 51837, 52192, 51190, 51372, 54112, 51799, 51879, 50294, 51421, 55073, 53269, 50877, 60500, 62221, 51581, 50282, 50952, 51578, 54211, 51976, 55210, 56358, 51236, 53743, 51120, 51879, 50282, 51603, 51027, 51091, 67813, 54672, 50871, 61299, 60500, 55476, 52843, 51062, 54472, 51594, 55874, 51120, 52640, 50327, 67954, 51177, 76329, 50877, 67773, 51799, 67679, 62464, 59459, 62271, 50855, 51275, 62071, 55300, 54678, 50999, 50884, 51799, 50890, 51489, 50365, 51657, 50851, 54662, 52545, 50302, 51427, 50871, 51517, 50290, 51183, 50906, 51145, 50902, 51244, 51435, 52192, 50801, 55456, 54772, 56624, 51236, 54711, 51234, 51235, 51435, 51319, 78169, 50899, 51111, 50899, 51191, 51578, 53726, 51895, 51369, 50810, 51302, 51594, 55658, 51236, 52658, 51234, 63307, 62054, 50845, 51435, 52192, 51190, 51372, 54378, 51234, 50962, 51895, 51372, 64704, 50916, 51356, 62275, 77886, 61650, 61434, 50866, 51489, 53577, 51976, 55210, 53103, 62766, 67946, 62958, 51085, 51235, 67813, 50810, 51618, 50907, 51382, 51594, 55874, 51236, 53820, 51085, 50836, 51153, 51252, 61620, 54846, 51085, 50962, 51275, 71747, 51420, 55073, 50851, 55547, 66728, 75319, 51517, 50289, 51183, 50861, 51145, 50877, 51244, 51489, 52192, 51976, 55210, 56624, 51236, 54711, 50916, 67858, 51116, 51489, 51319, 78169, 50861, 50967, 51027, 51191, 51895, 51369, 65145, 51516, 51387, 51302, 51594, 55658, 51236, 52658, 51279, 51879, 50305, 57069, 50806, 51516, 52731, 51190, 51372, 54112, 51279, 51864, 55073, 53269, 51799, 69858, 60898, 59437, 66867, 51336, 51435, 53577, 51976, 55210, 56358, 51236, 53743, 69505, 61522, 64645, 51799, 51116, 67813, 72853, 50907, 51382, 51594, 52955, 51799, 50890, 51275, 62071, 55300, 54678, 51799, 50880, 51489, 50365, 51657, 50851, 54662, 52545, 50301, 52545, 50290, 51127, 51435, 52192, 51976, 55210, 56624 ]
[ 0, 250, 19448, 5175, 25771, 2214, 4246, 4401, 757, 3178, 6, 1893, 43639, 6, 3689, 21072, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 2829, 2933, 5466, 10686, 13, 822, 4, 590, 10, 7212, 20889, 9, 16491, 741, 1685, 6, 24, 18, 11, 204, 73, 306, 86, 8, 5, 762, 9, 230, 538, 6, 21437, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 274, 6, 230, 6, 274, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50913, 55376, 50913, 52639, 50913, 55477, 50913, 52417, 50913, 52600, 50913, 55698, 50913, 52725, 50913, 55223, 50913, 52579, 50913, 50820, 51528, 52755, 62793, 53745, 50572, 50955, 50415, 50913, 53223, 52428, 52439, 53450, 50913, 65233, 50378, 63599, 53513, 51925, 50379, 53221, 50955, 51450, 52755, 65233, 53745, 50572, 63959, 53257, 54004, 50913, 78846, 54023, 50612, 53920, 51925, 78829, 50878, 51528, 52755, 50379, 53746, 58370, 68621, 50913, 53223, 52428, 52439, 67614, 55440, 50913, 65233, 50378, 63599, 52658, 51925, 50379, 63599, 67614, 60157, 52365, 50810, 51450, 52502, 50379, 53746, 58370, 53745, 50572, 58991, 52365, 52843, 50913, 65233, 53920, 59896, 72078, 78829, 50878, 50799, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 50878, 50415, 50913, 53223, 58508, 50860, 52243, 52439, 52654, 50913, 65233, 50378, 63599, 52658, 59896, 72078, 50379, 53221, 58927, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 63634, 58508, 50860, 53257, 54276, 50913, 78846, 53597, 50612, 53920, 58508, 50802, 51925, 78829, 50942, 50799, 56849, 50860, 52243, 50875, 50379, 53746, 53597, 50612, 68621, 50913, 53223, 58508, 50860, 52243, 52439, 53597, 50572, 57629, 58508, 63724, 65233, 50378, 63599, 53911, 59896, 72078, 50379, 53221, 58927, 58508, 53236, 52245, 65233, 53745, 50572, 63634, 58508, 54554, 50913, 50379, 53746, 53597, 50612, 53920, 55807, 72078, 78829, 50942, 50799, 56228, 53236, 52245, 65233, 53745, 50572, 50925, 50415, 50913, 53223, 56228, 53236, 61526, 53049, 50913, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 53221, 58866, 56228, 53236, 52245, 65233, 53745, 50572, 62063, 56228, 50860, 53257, 53639, 50913, 78846, 53376, 50612, 53920, 56228, 50802, 51925, 78829, 50925, 50799, 55398, 50860, 52613, 50875, 50379, 53746, 53376, 50612, 68621, 50913, 53223, 56228, 50860, 52613, 53746, 78829, 65647, 52365, 53049, 56228, 63724, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 54502, 78829, 58866, 56228, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 56228, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 59896, 50860, 53257, 52757, 50612, 78829, 50897, 50799, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 79069, 50913, 53223, 58508, 50860, 52613, 52439, 52710, 50913, 65233, 50378, 63599, 52749, 59896, 72078, 50379, 53221, 56057, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 58508, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 58508, 50802, 51925, 78829, 50897, 50799, 56849, 50860, 52615, 50875, 50379, 53746, 52757, 50612, 68621, 50913, 53223, 58508, 50860, 52615, 53746, 63838, 68018, 52365, 52450, 58508, 63724, 65233, 50378, 63599, 52559, 59896, 72078, 50379, 54502, 63838, 56983, 58508, 50860, 52615, 50875, 65233, 53745, 50572, 60204, 58508, 50860, 53257, 52741, 50913, 78846, 52476, 50612, 53920, 55807, 50860, 53257, 52476, 50612, 78829, 50910, 50799, 56228, 50860, 52615, 50875, 71958, 77290, 50913, 53223, 56228, 53236, 53516, 55398, 54684, 55398, 55276, 55398, 50860, 52615, 79052, 56843, 56677, 54554, 58865, 55273, 55398, 51184, 50799, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 51014, 50416, 50816, 52432, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50802, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 55807, 51009, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 78934, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56228, 50917, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 50860, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 56228, 50860, 78934, 50865, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51066, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 50937, 78934, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 56677, 51066, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 55398, 50860, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56228, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 58508, 51300, 50663, 50290, 50865, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 51066, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 50663, 50290, 50865, 53350, 50937, 54453, 50937, 53368, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51059, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50860, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 56228, 50860, 52564, 51377, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 55807, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 55807, 51066, 50663, 50285, 50865, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 50937, 50663 ]
[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 5, 762, 9, 274, 538, 6, 1931, 21683, 10, 32076, 1619, 4780, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 24897, 11739, 9, 2382, 3459, 8669, 6, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 4, 20, 16331, 33215, 16739, 9, 274, 6, 211, 119, 6, 163, 428, 401, 6, 8, 230, 406, 3639, 7, 63, 33200, 8, 33558, 2868, 6, 442, 24, 10, 1969, 2365, 8859, 13, 5, 12298, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52404, 51865, 53070, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 51007, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 50848, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 50848, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 50939, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 50848, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 50979, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53754, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 50864, 60347, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51298, 50914, 51068, 53754, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 54352, 72646, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52455, 53829, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 51007, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 50848, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 50848, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 50939, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 50848, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 50979, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53889, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 72614, 53889, 51187, 52763, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51298, 50914, 51068, 53889, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 54352, 72646, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52404, 51865, 53070, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 59709, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 54761, 80137, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 51173, 50848, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 50848, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 59709, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 64357, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 54761, 59709, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 54761, 68413, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 54761, 51227, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53754, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 56056, 51235, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 50864, 60347, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51298, 50914, 51068, 53754, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 54352, 72646, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52455, 53829, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 54761, 80137, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 59845, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 54761, 59709, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 59709, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 64357, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 54761, 59709, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 54761, 68413, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 54761, 51175, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53889, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 56056, 51158, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 50864, 54761, 59806, 53889, 51187, 52763, 51280, 50864, 51144, 50864, 51119, 50864, 54761, 50887, 63364, 62814, 62615, 51298, 50914, 51068, 53889, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 50827, 54761, 53672, 72646, 53596, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 72201, 57045, 51124, 50939, 51124, 51007, 51124, 52404, 51865, 53070, 51198, 50827, 51144, 50864, 51308, 50864, 52372, 51343, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 51007, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 62696, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 55664, 50937, 63573, 52120, 52742, 73365, 51198, 50864, 51144, 50864, 51308, 50864, 51993, 70902, 55664, 60935, 50901, 52120, 53885, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 51159, 51471, 50445, 50872, 60014, 50917, 51007, 55441, 51198, 50827, 51144, 50864, 51308, 50864, 50939, 56204, 67513, 53754 ]
[ 0, 250, 8787, 5175, 15229, 19, 25771, 4785, 6, 42, 15352, 30054, 2125, 30853, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 42186, 1290, 642, 5255, 6, 3459, 8669, 6, 6755, 12547, 6, 38668, 20535, 6, 8, 13305, 35810, 561, 6, 2351, 10, 5797, 990, 1506, 9, 2369, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 1007, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 6, 5, 46336, 5252, 16, 17407, 30, 5, 40286, 2060, 6, 230, 10431, 6, 8, 274, 10431, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50450, 51069, 67934, 55971, 63827, 51671, 54064, 51671, 53496, 51965, 57042, 51662, 55838, 51692, 68849, 51091, 51495, 51194, 51268, 51194, 51193, 51194, 51944, 51362, 51773, 51343, 52361, 51274, 52812, 51191, 55833, 51692, 62280, 51692, 52455, 57900, 50841, 51402, 51129, 51039, 52543, 53109, 51495, 50810, 51268, 50827, 51193, 50874, 55239, 51495, 50810, 51268, 50813, 51193, 55503, 54866, 51179, 63851, 68460, 52606, 52783, 50432, 66072, 51495, 50915, 51268, 50995, 51193, 50981, 51944, 51977, 51773, 51358, 52603, 51685, 51917, 50892, 51931, 51556, 52958, 51105, 50807, 51772, 50914, 52455, 67129, 57536, 51495, 50835, 51268, 50835, 69746, 63678, 54492, 51495, 50982, 51268, 50982, 51193, 51916, 52300, 52846, 51228, 51048, 51495, 51109, 51268, 51109, 51193, 51380, 51917, 50915, 58046, 51179, 68482, 51004, 51453, 50834, 51621, 59119, 63827, 51671, 54064, 51671, 53496, 51965, 68849, 51091, 51495, 51043, 51268, 51043, 51193, 51423, 51944, 51362, 51773, 51343, 52361, 51274, 52812, 51218, 52455, 65666, 51129, 51039, 52543, 53109, 51495, 50810, 51268, 50827, 51193, 50874, 55239, 51495, 50810, 51268, 50813, 51193, 55503, 54866, 51179, 63851, 68460, 52606, 52783, 50432, 66072, 51495, 50915, 51268, 51097, 51193, 50915, 51944, 51356, 51773, 51336, 52603, 51196, 51917, 51101, 51931, 51556, 52958, 51105, 50807, 51772, 50943, 52455, 67129, 57536, 51495, 50835, 51268, 50835, 69746, 63678, 54492, 51495, 50982, 51268, 50982, 51193, 51916, 52300, 52846, 51228, 51048, 51495, 51025, 51268, 51025, 51193, 51775, 51917, 51109, 58046, 51179, 64430, 72912, 51004, 51453, 50834, 51621, 59119, 54549, 51671, 52606, 52783, 52582, 51965, 55838, 51662, 57890, 51692, 54798, 51091, 51268, 51194, 51208, 51194, 51546, 51194, 51808, 51362, 52603, 51362, 53335, 51362, 51912, 51351, 61502, 51692, 72720, 51692, 52455, 57900, 50841, 51402, 51129, 51039, 52543, 53109, 51268, 65964, 50827, 51546, 50874, 55239, 51268, 65964, 50813, 51546, 55503, 54866, 51179, 63851, 68460, 52398, 52783, 50432, 51213, 63483, 50915, 51208, 50995, 51546, 50981, 51808, 51896, 52603, 51977, 54050, 51685, 51547, 50892, 51931, 51556, 52958, 51325, 50807, 51674, 50915, 52455, 67129, 57536, 51268, 50835, 51208, 50835, 51546, 50886, 63678, 54492, 51268, 50982, 51208, 50982, 51546, 51916, 52300, 52846, 51213, 79157, 51109, 51208, 51109, 51546, 51380, 51547, 50981, 58046, 51179, 68482, 51004, 51453, 50834, 51621, 59119, 54549, 55844, 52606, 55844, 52582, 51965, 54798, 51091, 51268, 51043, 51208, 51043, 51546, 51423, 51808, 51362, 52603, 51362, 53335, 51362, 51912, 51134, 52455, 65666, 51129, 51039, 52543, 53109, 51268, 65964, 50827, 51546, 50874, 55239, 51268, 65964, 50813, 51546, 55503, 54866, 51179, 63851, 68460, 52398, 52431, 50432, 51213, 63483, 50915, 51208, 51097, 51546, 50915, 51808, 51336, 52603, 51336, 54050, 51196, 51547, 50845, 51931, 51556, 52958, 51325, 50807, 51674, 51351, 52455, 67129, 57536, 51268, 50835, 51208, 50835, 51546, 50886, 63678, 54492, 51268, 50982, 51208, 50982, 51546, 51916, 52300, 52846, 51186, 50983, 51268, 51115, 51208, 51115, 51546, 51477, 51547, 51115, 58046, 51179, 64430, 72912, 51004, 51453, 50834, 51621, 50908, 80086, 57900, 50841, 51402, 51129, 51039, 52543, 58092, 63827, 51671, 54064, 51671, 53496, 51965, 57042, 51662, 55838, 51692, 50422, 53344, 51091, 51495, 51194, 51268, 51194, 51193, 51194, 51944, 51362, 51773, 51343, 52361, 51274, 52812, 51241, 55833, 51692, 62280, 51692, 50423, 55239, 58046, 51179, 63851, 68460, 51495, 50810, 51268, 50827, 51193, 50874, 51361, 56512, 51495, 50810, 51268, 50813, 69746, 51556, 50908, 51658, 51179, 55698, 52606, 52783, 50440, 66072, 51495, 50915, 51268, 50995, 51193, 50981, 51944, 51977, 51773, 51358, 52603, 51685, 51917, 50892, 51572, 51129, 51180, 52543, 59279, 51105, 50807, 51772, 50915, 50447, 54257, 52846, 58046, 51179, 63075, 51495, 50835, 51268, 50835, 69746, 51647, 67521, 51495, 50982, 51268, 50982, 51193, 50837, 51453, 57029, 51228, 51048, 51495, 51109, 51268, 51109, 51193, 51380, 51917, 50915, 51621, 50908, 80086, 65666, 51129, 51039, 52543, 58092, 63827, 51671, 54064, 51671, 53496, 51965, 50422, 53344, 51091, 51495, 51043, 51268, 51043, 51193, 51423, 51944, 51362, 51773, 51362, 52361, 51226, 52812, 51134, 50423, 55239, 58046, 51179, 63851, 68460, 51495, 50810, 51268, 50827, 51193, 50874, 51361, 56512, 51495, 50810, 51268, 50813, 69746, 51556, 50908, 51658, 51179, 55698, 52606, 52783, 50440, 66072, 51495, 50915, 51268, 51097, 51193, 50915, 51944, 51356, 51773, 51336, 52603, 51196, 51917, 50845, 51572, 51129, 51180, 52543, 59279, 51105, 50807, 51772, 50915, 50447, 54257, 52846, 58046, 51179, 64430, 60752, 51495, 50835, 51268, 51008, 69746, 51647, 67521, 51495, 50982, 51268, 54521, 51193, 50837, 51453, 57029, 51228, 50879, 51495, 51025, 51268, 51025, 51193, 51775, 51917, 50892, 51621, 50908, 80086, 57900, 70325, 65456, 52000, 50987, 51402, 51129, 51039, 52543, 58092, 53496, 51671, 51821, 51671, 52398, 51965, 57539, 51662, 62280, 51692, 50422, 51228, 51091, 51281, 51194, 51385, 51194, 51530, 51194, 52361, 51294, 52327, 51343, 54050, 51274, 51917, 51241, 60750, 51692, 69338, 51692, 50423, 55239, 58046, 51179, 63851, 68460, 51281, 50810, 51385, 50827, 51530, 50874, 51361, 56512, 51281, 50810, 51385, 79599, 50886, 51556, 50908, 51658, 51179, 55698, 52072, 52783, 50440, 66195, 51281, 50915, 51385, 50995, 51530, 50981, 52361, 51896, 52327, 51896, 54258, 51977, 51674, 51101, 51572, 51129, 51180, 52543, 59279, 51186, 50807, 51408, 50915, 50447, 54257, 52846, 58046, 51179, 63075, 69511, 51385, 50835, 51530, 50886, 51647, 67521, 51281, 50982, 51385, 50982, 51530, 50837, 51453, 57029, 51325, 51112, 51281, 51109, 51385, 51109, 51530, 51380, 51674, 50915, 51621, 50908, 80086, 65666, 51129, 51039, 52543, 58092, 53496, 51671, 51821, 51671, 52398, 51965, 50422, 51228, 51091, 51281, 51043, 51385, 51043, 51530, 51423, 52361, 51294, 52327, 51362, 54050, 51362, 51917, 51351, 50423, 55239, 58046, 51179, 63851, 68460, 51281, 50810, 51385, 50827, 51530, 50874, 51361, 56512, 51281, 50810, 51385, 79599, 50886, 51556, 50908, 51658, 51179, 55698, 52072, 52783, 50440, 66195, 51281, 50915, 51385, 51097, 51530, 50915, 52361, 51336, 52327, 51356, 54258, 51356, 51674, 50845, 51572, 51129, 51180, 52543, 59279, 51186, 50807, 51408, 50943, 50447, 54257, 52846, 58046, 51179, 64430, 60752, 69511, 51385, 50835, 51530, 50886, 51647, 67521, 51281, 50982, 51385, 50982, 51530, 50837, 51453, 57029, 51325, 51048, 51281, 51109, 51385, 51109, 51530, 51097, 51674, 51312, 51621, 50908, 80086, 57900, 50841, 51402, 51129, 51039, 52543, 58092, 63827, 51293, 54064, 51293, 53496, 51310, 50422, 53344, 51091, 51495, 51194, 51268, 51194, 51193, 51194, 51944, 51204, 51773, 51141, 52361, 50983, 52812, 51134, 50423, 55239, 58046, 51179, 63851, 68460, 51495, 50810, 51268, 50827, 51193, 50874, 51361, 56512, 51495, 50866, 51268, 50866, 51193, 51058, 51556, 50908, 51658, 51179, 55698, 52606, 51742, 50440, 66072, 51495, 50915, 51268, 50995, 51193, 50981, 51944, 51623, 51773, 51591, 52603, 51358, 51917, 50974, 51572, 51129, 51180, 52543, 59279, 51105, 50807, 51772, 50915, 50447, 54257, 52846, 58046, 51179, 63075, 51495, 50835, 51268, 51008, 69746, 51647, 67521, 51495, 50982, 51268 ]
[ 0, 250, 15855, 19834, 15229, 14, 7630, 6568, 41, 9066, 8, 25306, 5466, 6, 4246, 5, 41106, 154, 23225, 9, 1021, 5901, 1243, 6, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 2370, 21305, 6, 8, 17691, 28430, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 30853, 23, 41, 178, 5285, 20889, 6, 2351, 10, 1472, 9, 9733, 8, 15073, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 55052, 50952, 52143, 51991, 52143, 51991, 51299, 51991, 51299, 51991, 53865, 50857, 53865, 50857, 59878, 50855, 59878, 65600, 53436, 58172, 52890, 50977, 54895, 54351, 53039, 51148, 53865, 50867, 53865, 50867, 59878, 50867, 59878, 69150, 52697, 51486, 50423, 52890, 52670, 50832, 58175, 50832, 61171, 52481, 50974, 52481, 50974, 50455, 62583, 50884, 51426, 50845, 51426, 50845, 50460, 52371, 52071, 52371, 52071, 50461, 62583, 50811, 55052, 50859, 53436, 50813, 51251, 51605, 51251, 51605, 51601, 52890, 50833, 50416, 54895, 72531, 52697, 52536, 53039, 51742, 56957, 78881, 53865, 50828, 53865, 50828, 55253, 50846, 55253, 61385, 53865, 50895, 53865, 50895, 55253, 50949, 55253, 69824, 53865, 50961, 53865, 50961, 55253, 50817, 55253, 58977, 50832, 72091, 79538, 79538, 52481, 51328, 52481, 77228, 62583, 55971, 62583, 50811, 51299, 52069, 51299, 52069, 52143, 51945, 52143, 51945, 50799, 53436, 50810, 55052, 50858, 50416, 54895, 50821, 52890, 50955, 50419, 53039, 75504, 52697, 52097, 50425, 50832, 76973, 50832, 78780, 52566, 57924, 51638, 51277, 51638, 51277, 52602, 51043, 52602, 69780, 62583, 50884, 53267, 50855, 53865, 50883, 53865, 50883, 55253, 50895, 55253, 60744, 56882, 50840, 61779, 50840, 52890, 51227, 52776, 51145, 52776, 51145, 53865, 50949, 53865, 50949, 55253, 50949, 55253, 50949, 50799, 57441, 51552, 59247, 51552, 57017, 50845, 50722, 50287, 50845, 61331, 50845, 77989, 50845, 62583, 50811, 55228, 50845, 51699, 51447, 51699, 51447, 50419, 53865, 50817, 53865, 50817, 55253, 50817, 55253, 52302, 55282, 50845, 79046, 50845, 54108, 50845, 62655, 50845, 53472, 53172, 52664, 50892, 61331, 50892, 52278, 50892, 58048, 57161, 51031, 52650, 50892, 50431, 58343, 50849, 71801, 53308, 55282, 50892, 79046, 50892, 54108, 50892, 62655, 50892, 53472, 50892, 50437, 56882, 50983, 61779, 50983, 53623, 51145, 53623, 51145, 52316, 51244, 52316, 68116, 56636, 51336, 50722, 50295, 51336, 54649, 51336, 68611, 51336, 54969, 51336, 64155, 54210, 56882, 50855, 61779, 50855, 62583, 67239, 57441, 50810, 59247, 54678, 58343, 50836, 71801, 59026, 58591, 51295, 62920, 51295, 62583, 50811, 51299, 51244, 51299, 51244, 52143, 51145, 52143, 51145, 50799, 57017, 50805, 50722, 50287, 50805, 61331, 50805, 77989, 50805, 55228, 52864, 55282, 50905, 79046, 50905, 54108, 50905, 62655, 50905, 53472, 54335, 52664, 50901, 61331, 50901, 52278, 50901, 58048, 59510, 50961, 52650, 50901, 50431, 58343, 50925, 71801, 58191, 52970, 51060, 58811, 51060, 52186, 51060, 59017, 51060, 53267, 51060, 50435, 57441, 50844, 59247, 61842, 52371, 51077, 52371, 51077, 51251, 51047, 51251, 60610, 57171, 51077, 61454, 51077, 51963, 51077, 54108, 51077, 51900, 51077, 56334, 51077, 52697, 66336, 50832, 57859, 62583, 50818, 53865, 50949, 53865, 50949, 55253, 51031, 55253, 78360, 56882, 50813, 61779, 50813, 62583, 50811, 52776, 51148, 52776, 51148, 51699, 51047, 51699, 51047, 53865, 50817, 53865, 50817, 55253, 50949, 55253, 50949, 50799, 57441, 51115, 59247, 51115, 57017, 50873, 50722, 50287, 50873, 61331, 50873, 77989, 50873, 55228, 50873, 50419, 53865, 50817, 53865, 50817, 55253, 50817, 55253, 52302, 55282, 50845, 79046, 50845, 54108, 50845, 62655, 50845, 53472, 69115, 50832, 57480, 52664, 50795, 61331, 50795, 52278, 50795, 58048, 50795, 52650, 65727, 58343, 50849, 71801, 53308, 55282, 50901, 79046, 50901, 54108, 50901, 62655, 50901, 53472, 50901, 50437, 53623, 51183, 53623, 51183, 52316, 50918, 52316, 56039, 56882, 51077, 61779, 51077, 56636, 51551, 50722, 50295, 51551, 54649, 51551, 68611, 51551, 54969, 51551, 50450, 50832, 55577, 62583, 61994, 52481, 50995, 52481, 50995, 51426, 50889, 51426, 50889, 50461, 58591, 50810, 62920, 50810, 50799, 55282, 50838, 79046, 50838, 54108, 50838, 62655, 50838, 62583, 50811, 53472, 50838, 50416, 58343, 50942, 71801, 65739, 58591, 50810, 62920, 50810, 56636, 50901, 50722, 50295, 50901, 54649, 50901, 68611, 50901, 54969, 76968, 58343, 50878, 71801, 50878, 50424, 52371, 51097, 52371, 51097, 50425, 57441, 50844, 59247, 53450, 55282, 50822, 79046, 50822, 54108, 50822, 62655, 53255, 50817, 53472, 50822, 73652, 73652, 51251, 50981, 51251, 50981, 50428, 58343, 50878, 71801, 66942, 55865, 50844, 50722, 50292, 50844, 55008, 50844, 67544, 50844, 53715, 53513, 57441, 50813, 59247, 50813, 57273, 50874, 50722, 50290, 50874, 58811, 50874, 78531, 50874, 56265, 50874, 53865, 50839, 53865, 50839, 55253, 50841, 55253, 54665, 62953, 50854, 61837, 50854, 59559, 50844, 50722, 50289, 50844, 58916, 50844, 50720, 50301, 50844, 55039, 61842, 52143, 51452, 52143, 51452, 51299, 51790, 51299, 51790, 50438, 56882, 51141, 61779, 51141, 57017, 50943, 50722, 50287, 50943, 61331, 50943, 77989, 50943, 62583, 50949, 55228, 50943, 53865, 51362, 53865, 51362, 55253, 51226, 55253, 70233, 50832, 52193, 50816, 50862, 53485, 50962, 53485, 50962, 55253, 51010, 55253, 51010, 56032, 50862, 56875, 50809, 50799, 57017, 50845, 61331, 50845, 77989, 50845, 62583, 56409, 50811, 55228, 50845, 51699, 51447, 51699, 51447, 53485, 50949, 53485, 50949, 55253, 50811, 55253, 53213, 55282, 50845, 54108, 50845, 62655, 56649, 50811, 53472, 50845, 53485, 50817, 53485, 50817, 55253, 50817, 55253, 52630, 52664, 50892, 52278, 50892, 58048, 57161, 51010, 52650, 54100, 55282, 50892, 54108, 50892, 62655, 57957, 50862, 53472, 50892, 57671, 50880, 57008, 75483, 53623, 51145, 53623, 51145, 52316, 51244, 52316, 68116, 56636, 51336, 54649, 51336, 68611, 51336, 50816, 50962, 54969, 51336, 50450, 50832, 52193, 62583, 54192, 50813, 56032, 50809, 56875, 57747, 62583, 50811, 51299, 51244, 51299, 51244, 52143, 51145, 52143, 51145, 50799, 57017, 50805, 61331, 50805, 77989, 52504, 51010, 55228, 52864, 55282, 50905, 54108, 50905, 62655, 59140, 51010, 53472, 54335, 52664, 50901, 52278, 50901, 58048, 59510, 52050, 50930, 52650, 54777, 52970, 51060, 52186, 51060, 59017, 64194, 50809, 53267, 51060, 57671, 50809, 57008, 75483, 52371, 51077, 52371, 51077, 51251, 51047, 51251, 60610, 51963, 51077, 51900, 51077, 56334, 74382, 50887, 52697, 66336, 50832, 52050, 50809, 59986, 50886, 64119, 63152, 62583, 52349, 50816, 50855, 55253, 50949, 55253, 50949, 53485, 50880, 53485, 50880, 56032, 50890, 56875, 59026, 62583, 50811, 52776, 51148, 52776, 51148, 51699, 51047, 51699, 51047, 53485, 50962, 53485, 50962, 55253, 50811, 55253, 50811, 50799, 57017, 50873, 61331, 50873, 77989, 57652, 50811, 55228, 55689, 55282, 50845, 54108, 50845, 62655, 56649, 50962, 53472, 50845, 53485, 50961, 53485, 50961, 55253, 51031, 55253, 57272, 52664, 50795, 52278, 50795, 58048, 54397, 50811, 52650, 51736, 55282, 50901, 54108, 50901, 62655, 57353, 50809, 53472, 50901, 57671, 50809, 57008, 79737, 53623, 51183, 53623, 51183, 52316, 50918, 52316, 56039, 56636, 51551, 54649, 51551, 68611, 51551, 50816, 50887, 54969, 51551, 50450, 50832, 57859, 53485, 50884, 53485, 50884, 55253, 50949, 55253, 54210, 62583, 61994, 52481, 50995, 52481, 50995, 51426, 50889, 51426, 50889, 50461, 53485, 50817, 53485, 50817, 55253, 50811, 55253, 50811, 50799, 55282, 50838, 54108, 50838, 62655, 50838, 62583, 52791, 50880, 53472, 54177, 56636, 50901, 54649, 50901, 68611, 57353, 50836, 54969, 50901, 63741, 62115, 50816, 50890, 52371, 51097, 52371, 51097, 50425, 50832, 52630, 55282, 50822, 54108, 50822, 62655 ]
[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 10, 20902, 132, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 22750, 1626, 5823, 8, 10563, 4, 590, 10, 11739, 9, 2020, 3548, 6, 10170, 1499, 6, 21979, 8, 3459, 29589, 6, 8, 21072, 6, 24, 6670, 10, 12298, 5466, 4, 20, 762, 9, 272, 538, 8, 5, 33215, 16739, 9, 230, 6, 211, 6, 8, 272, 5042, 7, 63, 33928, 16464, 6, 442, 24, 10, 1969, 2564, 13, 2365, 50, 1619, 9629, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50630, 50843, 52630, 79166, 51057, 50843, 52302, 51451, 51620, 51322, 52001, 52265, 51772, 51059, 51057, 51133, 51072, 50885, 51267, 51891, 50836, 53560, 54355, 59757, 61966, 51891, 50821, 53560, 54611, 77283, 51707, 50908, 51707, 50857, 51891, 50880, 52850, 50887, 53326, 50886, 52860, 50857, 53424, 54742, 51044, 51475, 53423, 51149, 50862, 53457, 50962, 53560, 52189, 53049, 74255, 50953, 51090, 74962, 52850, 54874, 51179, 52765, 60428, 51891, 54854, 58570, 51707, 50820, 51891, 50818, 52850, 50809, 52146, 50821, 53560, 50894, 53326, 50813, 52860, 50855, 53424, 54597, 51044, 53660, 50847, 50812, 52850, 54220, 50812, 51057, 51366, 50854, 51229, 50812, 51133, 51735, 50885, 51056, 52146, 63464, 51239, 53504, 60428, 53560, 52244, 51209, 50833, 56206, 51707, 50839, 52850, 50870, 51891, 50890, 52850, 50809, 53326, 50886, 52860, 50857, 53424, 54742, 51135, 51475, 53423, 61873, 56043, 52207, 51620, 51366, 50991, 50953, 51500, 50988, 51109, 71081, 55024, 51179, 52765, 50909, 50862, 58227, 52686, 56521, 51707, 50813, 51891, 50890, 52850, 50887, 56043, 50950, 53326, 50857, 52860, 50862, 53424, 53352, 51041, 52227, 54986, 50847, 50813, 53560, 52348, 50800, 51057, 51229, 50889, 50945, 51055, 51164, 51267, 52879, 52750, 51139, 53504, 50872, 50855, 52814, 52734, 50885, 50810, 52344, 50834, 52131, 50883, 51997, 50887, 51997, 50854, 53904, 50813, 52979, 50862, 52860, 53784, 51044, 53187, 53423, 50850, 50862, 51891, 51156, 53049, 51334, 51003, 51720, 51603, 51332, 51267, 52131, 59171, 51179, 53847, 50872, 50862, 52554, 53230, 50946, 50822, 52344, 50820, 52131, 50818, 51997, 50818, 51891, 50846, 53904, 50862, 52979, 50836, 52860, 54472, 51044, 54125, 50885, 50836, 51891, 51864, 50854, 51057, 51229, 51310, 50945, 51427, 51164, 50943, 52131, 50366, 51015, 51239, 57368, 50872, 50862, 52554, 54718, 57212, 52344, 50839, 52131, 50895, 51997, 50818, 51891, 50851, 53904, 50813, 52979, 50855, 52860, 54597, 51135, 53187, 53423, 50850, 50812, 52879, 52374, 52710, 50945, 51932, 51332, 51109, 52131, 62625, 51179, 53847, 56684, 52814, 50800, 51891, 54440, 62677, 52131, 50895, 52344, 50813, 51997, 50887, 51997, 50822, 53904, 50862, 52979, 50855, 52860, 54345, 51041, 55098, 50885, 50810, 52131, 55316, 50833, 51057, 51590, 51175, 50953, 51112, 51164, 50862, 52162, 54355, 51139, 57368, 50847, 50855, 52162, 54878, 50848, 50810, 52162, 50834, 51707, 50883, 51707, 51010, 52554, 50887, 53326, 50886, 53210, 50829, 52635, 54131, 51044, 53187, 53423, 51334, 51048, 50935, 50862, 52162, 51000, 60913, 50927, 51500, 50988, 51267, 52391, 55572, 51179, 55658, 50847, 50862, 52554, 53627, 68943, 52162, 50820, 51707, 50818, 52554, 50809, 51707, 50822, 53326, 50886, 53210, 50867, 52635, 53479, 51044, 54125, 51390, 51290, 50848, 50836, 52181, 50864, 52068, 51057, 50953, 51500, 50988, 50943, 52554, 50828, 53560, 54355, 51239, 57368, 50847, 50862, 52554, 50833, 53560, 51835, 55420, 50809, 55688, 52162, 50839, 51997, 50982, 51707, 50890, 52554, 50809, 53326, 50857, 53210, 50813, 52635, 53850, 51135, 53187, 53423, 51893, 51110, 50935, 50812, 52554, 50890, 53560, 52304, 52710, 51415, 51566, 51171, 50915, 52554, 56926, 51179, 53847, 61204, 58622, 52559, 55420, 50839, 70904, 51707, 50895, 52162, 50813, 52554, 50887, 64845, 50962, 53326, 50820, 53210, 50839, 52635, 54201, 51041, 52672, 54487, 50848, 50813, 52146, 70196, 50812, 51057, 54193, 68782, 51346, 50885, 51267, 55653, 53287, 51139, 57368, 50909, 50855, 53560, 53004, 52700, 57932, 50810, 51707, 50857, 51891, 50880, 52850, 50887, 56043, 50930, 53326, 50864, 52860, 50829, 53424, 54742, 51044, 53187, 53423, 51149, 50862, 53457, 50854, 60913, 52004, 50812, 50953, 51290, 74962, 52850, 54874, 51179, 52765, 50909, 50862, 53560, 54440, 52700, 57373, 50822, 51707, 50820, 51891, 50818, 52850, 50809, 51891, 50833, 53326, 50862, 52860, 50836, 53424, 54131, 51044, 55098, 50847, 50812, 51997, 55316, 50808, 51057, 52004, 50981, 51133, 78451, 51056, 51707, 54036, 51239, 57368, 60428, 51707, 54448, 56206, 51707, 50839, 51891, 50890, 52850, 50809, 51891, 50803, 52130, 50923, 53326, 50867, 52860, 50862, 53424, 53352, 51135, 55352, 53423, 51149, 50812, 51707, 52465, 52710, 50953, 60460, 50915, 53457, 50894, 53560, 50882, 52249, 50893, 52455, 55658, 50909, 50862, 52850, 53705, 56521, 53457, 50870, 51707, 50813, 51891, 50890, 52850, 50887, 51891, 50803, 53560, 50894, 53058, 50806, 53326, 50813, 52860, 50862, 53424, 54597, 51041, 54125, 77283, 51997, 55181, 50854, 51057, 51133, 51073, 50885, 51267, 51891, 50836, 53560, 50857, 51951, 51379, 52321, 54275, 50909, 50855, 51891, 50821, 53560, 54611, 77283, 51707, 50908, 51891, 50883, 51707, 50857, 52850, 50887, 53326, 50904, 52860, 50829, 53424, 53802, 51044, 53187, 53423, 51149, 50854, 53457, 50962, 53560, 50859, 52142, 53111, 53906, 50953, 51290, 50988, 51267, 52850, 50874, 51951, 51115, 52455, 55658, 50909, 50862, 51891, 54854, 58570, 51707, 50820, 51891, 50818, 52850, 50809, 52146, 50821, 53560, 50894, 53326, 50857, 52860, 50813, 53424, 53352, 51044, 54125, 50847, 50812, 52850, 54220, 50854, 51057, 51133, 78451, 51056, 52146, 63907, 51239, 57368, 50909, 50862, 53560, 53213, 56206, 51707, 50839, 52850, 50870, 51891, 50890, 52850, 50809, 52130, 50803, 53326, 50886, 52860, 50834, 53424, 55018, 51135, 53187, 53423, 61873, 56043, 52207, 52710, 51133, 51073, 50988, 51109, 71081, 50894, 51967, 52651, 51179, 56274, 50909, 50862, 58227, 50821, 53928, 53705, 56521, 51891, 50895, 51707, 50813, 52850, 50887, 56043, 50950, 52064, 50849, 53326, 50886, 52860, 50829, 53424, 55018, 51041, 52672, 54986, 50847, 50813, 53560, 52348, 50854, 51057, 51720, 51056, 50885, 50862, 56043, 50811, 52249, 51354, 52321, 57368, 50872, 50855, 52814, 52734, 50885, 50810, 52344, 50834, 52131, 50883, 51997, 50887, 51997, 50854, 56114, 50867, 53904, 50813, 52979, 53352, 51044, 53791, 53423, 56105, 51891, 50803, 51951, 52304, 52710, 51133, 51048, 51164, 51267, 52131, 50907, 52249, 51295, 52455, 55658, 50872, 50862, 52554, 53230, 50946, 50822, 52344, 50820, 52131, 50818, 51891, 50846, 51997, 50809, 56114, 50857, 53904, 50813, 52979, 53352, 51044, 54125, 50885, 50836, 51891, 51864, 50833, 51057, 51720, 51048, 51164, 50943, 52131, 50366, 51015, 51239, 54275, 50872, 50862, 52554, 54718, 57212, 52344, 50839, 52131, 50890, 51997, 50809, 51891, 50851, 56114, 50857, 53904, 50820, 52979, 53352, 51135, 53187, 53423, 50850, 50812, 52879, 52374, 52710, 51817, 50952, 51332, 51109, 52131, 51128, 52130, 52750, 51179, 55658, 56684, 52814, 50800, 51891, 50894, 51967, 54334, 51271, 50921, 62677, 52344, 50813, 52131, 50890, 51997, 50887, 51997, 50822, 52064, 50806, 56114, 50857, 53904, 50862, 52979, 53966, 51041, 54125, 50885, 50810, 52131, 50886, 52068, 51057, 50953, 51460, 50988, 51267, 52181, 50844, 53020, 50993, 52321, 57368, 56894, 52162, 53932, 50848, 50810, 52162, 50834, 51707, 50883, 51707, 51010, 52554, 50887, 56627, 54742, 51044, 53187, 53423, 75035, 52162, 51000, 52780, 50921, 56627, 50813, 54174, 50839, 53326, 53065, 52710, 50927, 51345, 51171, 51267, 52391, 50950, 53258, 50824, 52455, 55658, 50847, 50862, 52554, 53627, 68943, 52162, 50820, 51707, 50818, 52554, 50818, 51707, 50822, 56627, 50862, 54174, 50855, 53326, 53966, 51044, 53263, 50848, 50812 ]
[ 0, 250, 5679, 26709, 5175, 25771, 2214, 19, 10, 3366, 219, 8, 980, 219, 5466, 6, 4246, 38668, 22052, 6, 21072, 6, 3741, 27374, 594, 6, 38668, 9590, 6, 8, 3459, 9590, 4, 20, 33301, 30853, 81, 10, 33215, 16739, 9, 274, 6, 272, 6, 211, 119, 6, 1918, 6, 8, 272, 11, 5, 762, 9, 211, 3694, 6, 19, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 11, 204, 73, 306, 86, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50796, 50796, 50799, 52508, 51730, 52432, 52345, 51620, 52118, 51730, 52209, 52345, 52262, 52508, 64772, 53905, 52345, 52513, 52118, 51757, 50798, 53545, 52118, 51754, 52345, 50800, 50799, 53480, 51730, 52432, 52230, 51620, 52760, 51730, 52209, 52230, 52262, 52724, 64772, 53905, 52118, 52513, 52230, 51757, 50798, 53545, 52230, 51754, 52118, 50800, 50799, 52508, 51730, 52432, 52661, 51620, 52345, 51730, 52209, 52661, 52262, 52508, 64772, 53905, 52661, 52513, 52360, 51757, 50798, 53545, 52508, 51754, 52661, 50800, 50799, 52508, 51730, 52432, 52345, 51620, 52118, 51730, 52209, 52345, 52262, 52724, 64772, 53905, 52118, 52513, 52230, 51757, 50798, 53545, 52230, 51754, 52118, 50800, 50799, 52508, 50800, 55061, 50800, 51271, 52221, 51044, 54639, 55061, 51049, 52432, 52345, 50800, 55061, 52227, 53423, 55061, 51049, 52437, 52118, 50800, 55061, 50800, 51271, 50991, 52358, 54013, 55061, 51049, 52209, 52345, 50800, 55061, 52227, 53593, 52508, 50800, 55061, 50800, 51271, 56958, 52565, 55061, 51730, 51044, 53905, 52345, 50800, 55061, 51049, 52210, 55061, 50800, 51271, 54490, 53641, 52118, 50800, 55061, 51049, 52396, 55061, 51730, 51044, 53545, 52118, 50800, 55061, 51049, 52349, 52345, 50800, 55061, 50800, 51271, 52152, 53902, 55061, 51049, 50818, 50799, 53480, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52230, 50800, 57354, 52227, 53423, 57354, 51049, 52437, 52760, 50800, 57354, 50800, 51186, 50991, 52358, 54013, 57354, 51049, 52209, 52230, 50800, 57354, 52227, 53593, 52724, 50800, 57354, 50800, 51133, 56958, 52565, 55411, 51730, 51044, 53905, 52118, 50800, 55411, 51049, 52210, 55411, 50800, 51133, 54490, 53641, 52230, 50800, 55411, 51049, 52396, 55411, 51730, 51044, 53545, 52230, 50800, 55411, 51049, 52349, 52118, 50800, 55411, 50800, 51133, 52152, 53902, 55411, 51049, 50818, 50799, 52508, 50800, 59112, 60997, 52221, 51044, 54639, 59112, 51049, 52432, 52661, 50800, 59112, 52227, 53423, 59112, 51049, 52437, 52345, 50800, 59112, 60997, 50991, 52358, 54013, 59112, 51049, 52209, 52661, 50800, 59112, 52227, 53593, 52508, 50800, 59112, 60997, 56958, 52565, 59112, 51730, 51044, 53905, 52661, 50800, 59112, 51049, 52210, 59112, 60997, 54490, 53641, 52360, 50800, 59112, 51049, 52396, 59112, 51730, 51044, 53545, 52508, 50800, 59112, 51049, 52349, 52661, 50800, 59112, 60997, 52152, 53902, 59112, 51049, 50818, 50799, 52508, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52345, 50800, 57354, 52227, 53423, 57354, 51049, 52437, 52118, 50800, 57354, 50800, 51186, 50991, 52358, 54013, 57354, 51049, 52209, 52345, 50800, 57354, 52227, 53593, 52724, 50800, 57354, 50800, 51133, 56958, 52565, 55411, 51730, 51044, 53905, 52118, 50800, 55411, 51049, 52210, 55411, 50800, 51133, 54490, 53641, 52230, 50800, 55411, 51049, 52396, 55411, 51730, 51044, 53545, 52230, 50800, 55411, 51049, 52349, 52118, 50800, 55411, 50800, 51133, 52152, 53902, 55411, 51049, 50818, 50799, 52508, 50800, 55061, 50800, 51271, 52221, 51044, 54639, 55061, 51049, 52432, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53423, 55061, 51049, 52437, 52118, 50800, 55061, 50800, 51271, 55568, 52572, 54094, 63822, 54013, 55061, 51049, 52209, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53593, 52508, 50800, 55061, 50800, 51271, 50991, 51068, 63822, 52565, 55061, 51730, 51044, 53905, 52345, 50800, 55061, 53984, 63822, 52210, 55061, 50800, 51271, 54490, 51276, 50583, 59839, 53641, 52118, 50800, 55061, 51049, 52396, 55061, 51730, 52572, 54094, 63822, 53545, 52118, 50800, 55061, 51049, 52349, 52345, 50800, 55061, 50800, 51271, 52152, 51276, 50583, 59839, 53902, 55061, 51049, 50818, 50799, 53480, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52230, 50800, 57354, 52227, 51276, 50583, 59839, 53423, 57354, 51049, 52437, 52760, 50800, 57354, 50800, 51186, 55568, 52572, 54094, 63822, 54013, 57354, 51049, 52209, 52230, 50800, 57354, 52227, 51276, 50583, 59839, 53593, 52724, 50800, 57354, 50800, 51133, 50991, 51068, 63822, 52565, 55411, 51730, 51044, 53905, 52118, 50800, 55411, 53984, 63822, 52210, 55411, 50800, 51133, 54490, 51276, 50583, 59839, 53641, 52230, 50800, 55411, 51049, 52396, 55411, 51730, 52572, 54094, 63822, 53545, 52230, 50800, 55411, 51049, 52349, 52118, 50800, 55411, 50800, 51133, 52152, 51276, 50583, 59839, 53902, 55411, 51049, 50818, 50799, 52508, 50800, 59112, 60997, 52221, 51044, 54639, 59112, 51049, 52432, 52661, 50800, 59112, 52227, 51276, 50583, 59839, 53423, 59112, 51049, 52437, 52345, 50800, 59112, 60997, 55568, 52572, 54094, 63822, 54013, 59112, 51049, 52209, 52661, 50800, 59112, 52227, 51276, 50583, 59839, 53593, 52508, 50800, 59112, 60997, 50991, 51068, 63822, 52565, 59112, 51730, 51044, 53905, 52661, 50800, 59112, 53984, 63822, 52210, 59112, 60997, 54490, 51276, 50583, 59839, 53641, 52360, 50800, 59112, 51049, 52396, 59112, 51730, 52572, 54094, 63822, 53545, 52508, 50800, 59112, 51049, 52349, 52661, 50800, 59112, 60997, 52152, 51276, 50583, 59839, 53902, 59112, 51049, 50818, 50799, 52508, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52345, 50800, 57354, 53984, 61591, 58574, 57354, 53984, 56450, 52465, 52966, 52118, 50800, 57354, 50800, 51186, 55568, 58712, 54946, 52223, 56609, 57354, 53984, 54087, 51833, 53031, 52345, 50800, 57354, 53984, 53831, 54288, 52724, 50800, 57354, 50800, 51133, 50991, 51068, 53889, 51437, 52600, 55411, 51730, 53966, 56396, 73920, 55218, 52118, 50800, 55411, 51907, 57517, 54382, 51406, 53041, 55411, 50800, 51133, 52496, 55304, 53500, 54255, 52230, 50800, 55411, 51907, 54094, 63822, 52396, 55411, 51730, 54866, 54912, 53683, 51179, 56883, 52230, 50800, 55411, 51907, 54724, 63948, 53563, 52118, 50800, 55411, 50800, 51133, 51626, 57875, 54192, 57841, 55411, 51907, 58096, 54844, 65613, 50799, 52508, 50800, 55061, 50800, 54511, 51036, 53733, 51036, 53818, 51036, 51271, 50807, 54155, 51036, 55803, 51036, 60541, 51036, 53687, 51161, 52358, 54639, 55061, 51049, 52432, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53423, 55061, 51049, 52437, 52118, 50800, 55061, 50800, 51271, 55568, 52572, 54094, 63822, 54013, 55061, 51049, 52209, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53593, 52508, 50800, 55061, 50800, 51271, 50991, 51068, 63822, 52565, 55061, 51730, 51044, 53905, 52345, 50800, 55061, 53984, 63822, 52210, 55061, 50800, 51271, 54490, 51276, 50583, 59839, 53641, 52118, 50800, 55061, 51049, 52396, 55061, 50800, 54455, 51428, 52572, 54094, 63822, 53545, 52118, 50800, 55061, 51049, 52349, 52345, 50800, 55061, 50800, 66709, 52874, 54490, 51276, 50583, 59839, 53902, 55061, 51049, 50818, 50799, 53480, 50800, 57354, 50800, 56648, 50918, 54511, 50918, 53733, 50918, 51186, 50807, 53909, 50918, 54155, 50918, 55803, 50918, 52358, 54639, 57354, 51049, 52432, 52230, 50800, 57354, 50800, 52341, 51161, 50852, 51276, 50583, 59839, 53423, 57354, 51049, 52437, 52760, 50800, 57354, 50800, 51186, 55568, 52572, 54094, 63822, 54013, 57354, 51049, 52209, 52230, 50800, 57354, 52227, 51276, 50583, 59839, 53593, 52724, 50800, 57354, 50800, 51133, 50991, 51068, 63822, 52565, 55411, 50800, 54884, 50918, 54924, 50918, 53370, 50918, 53372, 50918, 55697, 50918, 56141, 50918, 52358 ]
[ 0, 250, 3366, 219, 5175, 2369, 18795, 14, 7630, 6568, 10, 1472, 9, 980, 8, 15073, 6, 4246, 10, 38668, 483, 6, 18558, 18046, 6, 21072, 6, 3459, 9590, 6, 8, 30062, 620, 7085, 2323, 6, 70, 29354, 561, 11, 10, 15352, 30054, 15229, 278, 11, 274, 3694, 19, 10, 7212, 204, 73, 306, 20889, 6, 24826, 198, 5, 40286, 9, 2060, 406, 6, 272, 406, 6, 8, 230, 406, 1328, 42, 765, 4388, 3251, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50415, 51383, 60892, 51383, 66086, 51270, 75405, 51270, 62657, 51270, 73898, 51383, 63954, 51383, 63178, 51383, 59787, 51270, 64380, 51270, 71772, 51383, 61630, 51383, 50811, 51601, 52037, 51469, 52184, 51469, 54102, 51469, 51783, 51469, 58417, 50887, 55594, 50880, 57170, 52476, 50592, 52259, 51354, 50418, 55594, 50880, 55594, 50930, 57170, 60721, 53283, 50880, 55594, 50890, 57170, 59474, 58417, 50894, 55594, 50887, 57170, 67713, 53303, 64855, 55594, 50880, 53787, 50880, 57170, 52467, 50802, 51270, 67757, 61279, 50894, 53907, 50962, 57170, 60733, 65405, 50802, 55594, 50890, 58417, 50890, 57170, 79913, 53690, 51021, 50436, 62191, 50882, 61279, 50930, 57170, 58678, 71647, 58417, 50962, 61279, 50890, 57170, 52259, 50385, 52272, 58350, 65405, 50860, 53787, 50962, 55594, 50962, 57170, 57287, 65804, 61279, 50890, 53283, 50890, 57170, 64793, 66270, 55594, 50930, 53787, 50880, 57170, 52923, 60836, 72860, 62014, 50930, 55594, 50858, 57170, 66217, 51907, 51354, 50454, 62191, 50880, 61279, 50962, 57170, 68639, 63848, 55594, 50890, 58417, 50890, 57170, 59322, 55594, 50930, 55594, 50962, 57170, 53119, 61427, 50811, 51601, 52290, 51655, 51567, 51655, 51567, 52017, 51722, 52017, 58417, 50930, 52998, 50890, 51704, 53351, 51167, 50418, 55594, 50962, 55594, 50890, 57170, 60836, 67503, 52998, 50887, 58417, 50882, 51704, 79350, 60892, 52998, 50887, 58417, 50930, 51704, 51747, 65469, 55594, 50880, 58417, 50880, 51704, 68195, 52997, 66605, 56201, 50880, 62191, 50880, 51704, 65442, 59093, 66680, 50860, 58417, 50890, 52998, 50930, 51704, 53630, 50911, 51270, 61170, 62191, 50890, 55594, 50859, 51704, 58678, 67166, 62191, 50887, 52998, 50890, 51704, 52259, 67760, 66680, 50860, 55594, 50821, 58417, 50894, 51704, 79913, 62426, 62191, 50887, 52998, 50880, 51704, 65442, 61190, 58417, 50930, 55594, 50890, 51704, 53632, 66217, 67979, 62014, 50880, 55594, 50880, 57170, 64537, 53474, 72747, 55594, 50858, 62191, 50880, 51704, 79913, 60734, 52998, 50880, 58417, 50930, 51704, 61764, 55594, 50890, 55594, 50882, 57170, 53352, 56920, 50962, 51601, 53811, 52017, 52170, 51469, 51902, 51696, 52170, 51696, 50731, 50300, 50880, 67753, 50880, 52669, 51747, 51173, 51383, 65000, 55594, 50930, 55594, 50962, 57170, 64729, 67753, 50890, 59059, 50930, 52669, 59474, 67753, 50962, 50731, 50300, 50930, 52669, 50383, 52638, 51730, 64855, 67753, 50930, 59090, 50890, 52669, 53988, 51012, 51270, 74875, 68404, 50890, 55594, 50930, 52669, 64458, 50706, 50329, 51012, 50731, 50300, 50962, 67753, 50880, 52669, 65685, 52259, 51021, 50436, 59090, 50930, 68404, 50962, 52669, 58678, 73898, 50731, 50300, 50890, 68404, 50930, 52669, 65303, 51747, 62505, 50706, 50329, 50860, 67753, 50880, 59090, 50887, 52669, 54172, 61427, 61189, 68404, 50887, 59059, 50880, 52669, 64491, 60972, 59090, 50882, 67753, 50880, 52669, 68639, 53662, 64847, 62014, 50930, 55594, 50880, 57170, 60836, 54092, 58268, 59090, 50858, 68404, 50858, 52669, 53352, 67714, 62474, 67753, 50880, 50731, 50300, 50880, 52669, 53352, 59616, 55594, 50962, 55594, 50880, 57170, 64491, 52279, 51010, 51601, 51567, 52017, 51722, 52017, 52290, 52208, 51567, 51655, 52998, 50962, 58417, 50930, 51704, 51730, 51388, 51270, 59748, 55594, 50880, 55594, 50880, 57170, 62451, 65992, 52998, 50890, 58417, 50882, 51704, 60836, 62779, 52998, 50894, 58417, 50880, 51704, 53579, 50385, 52272, 60262, 58417, 50930, 55594, 50890, 51704, 58678, 55060, 71692, 56201, 50890, 62191, 50930, 51704, 74411, 57659, 66680, 50802, 52998, 50890, 58417, 50880, 51704, 52784, 51030, 51383, 62657, 62191, 50930, 55594, 50821, 51704, 58678, 63038, 52998, 50930, 62191, 50890, 51704, 52259, 67542, 62438, 66680, 51138, 58417, 50890, 55594, 50962, 51704, 76399, 61189, 52998, 50890, 62191, 50880, 51704, 62924, 58417, 50930, 55594, 50887, 51704, 53590, 60836, 72860, 62014, 50890, 55594, 50890, 57170, 53988, 50975, 51270, 60632, 55594, 50890, 62191, 50887, 51704, 67321, 52998, 50890, 58417, 50930, 51704, 62983, 63357, 55594, 50890, 55594, 50890, 57170, 69527, 56606, 51010, 51601, 52037, 52208, 51783, 52017, 52184, 52208, 54102, 51469, 58417, 50962, 55594, 50962, 57170, 62451, 51730, 51167, 50418, 55594, 50890, 55594, 50890, 57170, 58678, 67503, 55594, 50890, 53283, 50890, 57170, 68195, 59474, 58417, 50880, 55594, 50858, 57170, 65303, 51747, 73892, 55594, 50880, 53787, 50880, 57170, 51907, 50802, 51270, 65838, 61279, 50930, 53907, 50890, 57170, 79042, 63937, 65405, 50860, 55594, 50930, 58417, 50962, 57170, 50378, 52272, 53351, 50924, 50436, 61279, 50930, 62191, 50962, 57170, 64537, 55900, 58417, 50882, 61279, 50890, 57170, 52259, 50387, 52051, 62438, 65405, 50860, 55594, 50890, 53787, 50890, 57170, 58949, 59070, 61279, 50930, 53283, 50890, 57170, 64598, 55594, 50890, 53787, 50880, 57170, 62983, 54451, 63653, 62014, 50930, 55594, 50930, 57170, 54472, 50975, 51270, 57637, 62191, 50890, 61279, 50880, 57170, 66660, 55594, 50887, 58417, 50962, 57170, 68639, 59107, 55594, 50858, 55594, 50858, 57170, 50379, 52638, 52279, 50811, 51601, 51722, 51696, 51567, 52017, 52290, 52208, 51567, 52017, 52998, 50882, 58417, 50930, 51704, 53579, 51286, 51383, 69736, 55594, 50962, 55594, 50880, 57170, 65992, 52998, 50930, 58417, 50890, 51704, 60809, 58417, 50890, 52998, 50930, 51704, 66217, 53579, 73892, 55594, 50882, 58417, 50930, 51704, 68195, 54078, 51138, 50430, 62191, 50890, 56201, 50890, 51704, 64662, 66680, 50860, 58417, 50882, 52998, 50890, 51704, 65442, 53662, 51030, 50436, 55594, 50880, 62191, 50890, 51704, 62451, 63539, 62191, 50930, 52998, 50880, 61015, 50385, 52272, 58350, 66680, 50860, 58417, 50880, 55594, 50890, 51704, 68639, 67356, 62191, 50890, 52998, 50894, 51704, 68639, 71977, 58417, 50890, 55594, 50930, 51704, 68639, 53662, 60949, 62014, 50890, 55594, 50930, 57170, 54172, 50975, 51383, 65601, 62191, 50880, 55594, 50962, 51704, 68814, 66000, 52998, 50894, 58417, 50930, 51704, 63849, 55594, 50930, 55594, 50890, 57170, 69527, 52279, 50811, 51601, 52170, 51469, 51902, 52017, 52170, 51696, 53811, 52208, 50731, 50300, 50890, 67753, 50930, 52669, 67713, 53238, 51167, 50418, 55594, 50821, 55594, 50887, 57170, 65303, 64355, 67753, 50880, 59059, 50887, 52669, 52476, 50592, 61083, 67753, 50930, 50731, 50300, 50880, 52669, 68195, 53235, 64855, 67753, 50890, 59090, 50930, 52669, 54218, 66605, 55594, 50890, 68404, 50930, 52669, 68671, 57476, 50706, 50329, 50860, 50731, 50300, 50930, 67753, 50890, 52669, 53630, 50948, 50436, 68404, 50962, 59090, 50894, 52669, 62284, 66905, 68404, 50880, 50731, 50300, 50962, 52669, 52259, 62505, 50706, 50329, 50860, 67753, 50890, 59090, 50890, 52669, 62983, 62236, 68404, 50821, 59059, 50962, 52669, 68814, 66372, 59090, 50890, 67753, 50821, 52669, 52784, 65303, 57465, 62014, 50962, 55594, 50890, 57170, 54218, 51483, 51383, 57924, 68404, 50930, 59090, 50890, 52669, 62983, 59747, 67753, 50887, 50731, 50300, 50930, 52669, 72070, 55594, 50930, 55594, 50821, 57170, 54597, 57344, 50836, 51601, 51722, 51290, 51567, 50896, 52075, 51016, 52290, 50896, 52998, 50880, 58417, 50930, 51704, 65303, 62799, 62191, 50859, 52998, 50880, 51704, 50381, 54936, 67008, 58417, 50962, 52998, 50882, 51704, 79695, 62779, 58417, 50890, 52998, 50962, 51704, 50383, 54936, 71712, 52075, 50896, 52290, 51090 ]
[ 0, 250, 15855, 8, 5175, 24904, 6, 42, 5679, 26709, 2125, 30853, 23, 41, 178, 5285, 2877, 11, 204, 73, 306, 86, 4, 20, 13305, 8, 6168, 3540, 483, 5, 33301, 6, 2800, 30, 10, 6755, 12547, 6, 38668, 3038, 6, 8, 10, 38668, 11212, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 12608, 6, 163, 428, 6, 230, 119, 6, 8, 2060, 4, 20, 1374, 6711, 16, 19448, 8, 7630, 36041, 9, 10, 822, 1471, 6, 19, 9066, 8, 15352, 30054, 4785, 31605, 1328, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50791, 50914, 51544, 50914, 51570, 50914, 52320, 50914, 54197, 51307, 50900, 51307, 50871, 51307, 50965, 51307, 50965, 51307, 50423, 62292, 50812, 62292, 50812, 50876, 52710, 62292, 50849, 62292, 58681, 53308, 62292, 50849, 62292, 58681, 53470, 56496, 50849, 56496, 62377, 53969, 56496, 50849, 56496, 62377, 53794, 54650, 50849, 54650, 63191, 53702, 54650, 50849, 54650, 63191, 50849, 50799, 55872, 50849, 55872, 58681, 79111, 51519, 50300, 71785, 62292, 51124, 62292, 51124, 50900, 51124, 50965, 51124, 50876, 51124, 50429, 77176, 50812, 77176, 75161, 52749, 77176, 50849, 77176, 79892, 53470, 62292, 50914, 62292, 69796, 51103, 50965, 51103, 77113, 55694, 51124, 51197, 51307, 50956, 51307, 50956, 51307, 50861, 51307, 50861, 51307, 50423, 77176, 50812, 77176, 50812, 50906, 52710, 77176, 50849, 77176, 58801, 53308, 77176, 50849, 77176, 58801, 53470, 77176, 50849, 77176, 58801, 53969, 77176, 50849, 77176, 58801, 53794, 62292, 50849, 62292, 58681, 53702, 77988, 50812, 77988, 50812, 51028, 54421, 77176, 50849, 77176, 58801, 50849, 57346, 51591, 51040, 51591, 50871, 51591, 50871, 51591, 51234, 51307, 50417, 50719, 50300, 50812, 50719, 50300, 74566, 52871, 77176, 50849, 77176, 58801, 64486, 50997, 53794, 51040, 53702, 50871, 50849, 54197, 51307, 50900, 51307, 50871, 51307, 50965, 51307, 50965, 51307, 50423, 62292, 50812, 62292, 50812, 50876, 52710, 62292, 50849, 62292, 58681, 53308, 62292, 50849, 62292, 58681, 53470, 56496, 50849, 56496, 62377, 53969, 56496, 50849, 56496, 62377, 53794, 54650, 50849, 54650, 63191, 53702, 54650, 50849, 54650, 63191, 50849, 50799, 55872, 50849, 55872, 58681, 79111, 51519, 50300, 71785, 62292, 50914, 62292, 69796, 63403, 60763, 56217, 77176, 50812, 77176, 50812, 50906, 54125, 50719, 50300, 50812, 50719, 50300, 74566, 52841, 77176, 50812, 77176, 66966, 50812, 62257, 50906, 56358, 62292, 51124, 62292, 51124, 50876, 51124, 62291, 53702, 51001, 50849, 55694, 51124, 51197, 51307, 50956, 51307, 50956, 51307, 50423, 77176, 50812, 77176, 50812, 50906, 52710, 77176, 51124, 77176, 51124, 50906, 51124, 50435, 77176, 50812, 77176, 50812, 50906, 52841, 77176, 51124, 77176, 51124, 50906, 51124, 50447, 62292, 50812, 62292, 50812, 50876, 52848, 62292, 51124, 62292, 51124, 50876, 51124, 50459, 77988, 50812, 77988, 50812, 63417, 50799, 77988, 51103, 77988, 51103, 50871, 51591, 50965, 51591, 51028, 51591, 51360, 51486, 57019, 63946, 65631, 53969, 51176, 53794, 51360, 50812, 51176, 50812, 51040, 58963, 50812, 53599, 55874, 51085, 51124, 51176, 51124, 50900, 51124, 50956, 51124, 52143, 51124, 55435, 51124, 51040, 51124, 50871, 51124, 51234, 51103, 52602, 51103, 50423, 77988, 50812, 77988, 50812, 51040, 52710, 56496, 51124, 56496, 51124, 50997, 51124, 51040, 51124, 50871, 51124, 50435, 54650, 50812, 54650, 69937, 52841, 55872, 51103, 55872, 51103, 51040, 61581, 63403, 51800, 50293, 51103, 53599, 66563, 51040, 61581, 63403, 50914, 50799, 55872, 51413, 55872, 51413, 50900, 61581, 63403, 51800, 50297, 51103, 51887, 51103, 53523, 51124, 50871, 51124, 50965, 51124, 50435, 53602, 50812, 53602, 50812, 50906, 52841, 54650, 51103, 54650, 51103, 50997, 69796, 63925, 51800, 50295, 51103, 52481, 51103, 64057, 69796, 63925, 50914, 55435, 51124, 51040, 51124, 50871, 51124, 51234, 51103, 52602, 51103, 50423, 77988, 50812, 77988, 50812, 51040, 52710, 56496, 50849, 56496, 79892, 51124, 51040, 51124, 50871, 65903, 54650, 50849, 54650, 58926, 50861, 52841, 55872, 50849, 55872, 51519, 50305, 57743, 63946, 51519, 50293, 51103, 53599, 64486, 55872, 50849, 55872, 63946, 53794, 55872, 50849, 55872, 51519, 50305, 57743, 63946, 53702, 55872, 50914, 55872, 78389, 69796, 63403, 50914, 55881, 51307, 52481, 71785, 53602, 50914, 53602, 51800, 50300, 51189, 50997, 51189, 50956, 51189, 62322, 51103, 50997, 51103, 50956, 51103, 53975, 69796, 63403, 51800, 50288, 51307, 53623, 51307, 53523, 51124, 50956, 51124, 50965, 51124, 50435, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 52841, 65960, 50812, 65960, 64774, 66966, 50812, 64037, 50812, 70876, 56358, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 52597, 65960, 50849, 65960, 67997, 50849, 64037, 50849, 70876, 53794, 55872, 50849, 55872, 69214, 67997, 63946, 50849, 60617, 50849, 61144, 53702, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 53602, 51191, 53602, 51191, 50956, 51191, 50861, 51191, 50906, 51191, 57949, 51191, 58828, 51191, 55881, 51307, 52481, 51307, 56040, 63925, 60597, 55965, 53602, 50812, 53602, 66966, 50812, 59285, 60216, 57949, 50812, 58828, 56358, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 52597, 53602, 50849, 53602, 58801, 50849, 57949, 50849, 58828, 53794, 55872, 50812, 55872, 75161, 66966, 50812, 62257, 60617, 50812, 61144, 55874, 54650, 50812, 54650, 50812, 59285, 59595, 50812, 56917, 52955, 54650, 50849, 54650, 58263, 50849, 59595, 50849, 56917, 50849, 50799, 55872, 50812, 55872, 64774, 58963, 50812, 62257, 51050, 51307, 51887, 51307, 60617, 50812, 61144, 57368, 54650, 50812, 54650, 50812, 59285, 59595, 50812, 56917, 52871, 56496, 51191, 56496, 51191, 51176, 51191, 50900, 51191, 50871, 51191, 62217, 51191, 57571, 51191, 50435, 56496, 50812, 56496, 58963, 50812, 62217, 50812, 57571, 52841, 55872, 50812, 55872, 64774, 58963, 50812, 62257, 60617, 50812, 61144, 56358, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 52597, 55872, 50849, 55872, 63946, 50849, 60617, 50849, 61144, 53794, 53602, 50849, 53602, 69214, 57743, 58801, 50849, 57949, 50849, 58828, 53702, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 55872, 51191, 55872, 51191, 51040, 51191, 50871, 51191, 50965, 51191, 60617, 51191, 61144, 51191, 57497, 51307, 53599, 51307, 61104, 51124, 50871, 51124, 50965, 51124, 50435, 56496, 50812, 56496, 58963, 50812, 62217, 50812, 57571, 52841, 55872, 50849, 55872, 51519, 50305, 57743, 63946, 50849, 60617, 50849, 61144, 53969, 55872, 50849, 55872, 63946, 50849, 60617, 50849, 61144, 53794, 55872, 50812, 55872, 50812, 51040, 58963, 50812, 62257, 60617, 50812, 61144, 55874, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 52955, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 55872, 51191, 55872, 51191, 50900, 51191, 50956, 51191, 50965, 51191, 60617, 51191, 61144, 51191, 58439, 51307, 53623, 51307, 53523, 51124, 50956, 51124, 50965, 51124, 50435, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 52841, 65960, 50849, 65960, 69214, 67997, 50849, 64037, 50849, 70876, 53969, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 54672, 55872, 51124, 55872, 51124, 50997, 51124, 50956, 51124, 50965, 51124, 60617, 51124, 61144, 66704, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 53602, 50849, 53602, 67997, 58263, 58801, 50849, 57949, 50849, 58828, 50849, 55881, 51307, 52481, 51307, 50417, 54650, 51124, 54650, 51124, 71356, 59595, 51124, 56917, 51124, 56040, 58263, 58801, 53308, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 54125, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 52841, 53602, 51124, 53602, 51124, 50956, 51124, 71356, 50906, 51124, 57949, 51124, 58828, 51124, 50447, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 52848, 55872, 50849, 55872, 79892, 67997 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 1076, 560, 31365, 25999, 6, 13305, 6, 81, 9756, 8669, 6, 21072, 6, 8, 11006, 4122, 12, 1054, 330, 13305, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 2635, 20889, 9, 6657, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 6711, 25935, 1626, 227, 1372, 8, 2933, 6, 19, 10, 11602, 9, 1619, 4780, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 66513, 50971, 51651, 51210, 51414, 50813, 52109, 50813, 62645, 52160, 50808, 51583, 50833, 51497, 50812, 52074, 53097, 52050, 51636, 50426, 52303, 50971, 52102, 50971, 51303, 50971, 51651, 55487, 52948, 50886, 51981, 51562, 50438, 52303, 50971, 51687, 50971, 51231, 55256, 51687, 50971, 52303, 50971, 51231, 55835, 52948, 57185, 51825, 74509, 51980, 50857, 71965, 50971, 52102, 50971, 51303, 50971, 51651, 50971, 51825, 64039, 51980, 51939, 50426, 52303, 50971, 52102, 50971, 51303, 50971, 51651, 55108, 52303, 50971, 51687, 50971, 51231, 55256, 52303, 50971, 51687, 50971, 51231, 55835, 52109, 50886, 51980, 50878, 50460, 52109, 50886, 71965, 50971, 52102, 50971, 51303, 50971, 51651, 50971, 52109, 78130, 51414, 51961, 50426, 52102, 50971, 52303, 50971, 51303, 50971, 51651, 55487, 51414, 68066, 52303, 52691, 51687, 50971, 52303, 50971, 51231, 50971, 51414, 78873, 51980, 56508, 52303, 50971, 51687, 50971, 51231, 55835, 51825, 66376, 52303, 66211, 51980, 50862, 71965, 50971, 52102, 50971, 51303, 50971, 51651, 50971, 50415, 52948, 50813, 51981, 66089, 51980, 51351, 50426, 52303, 50971, 52102, 50971, 51651, 50971, 51303, 55487, 51327, 50959, 50436, 51980, 70149, 52303, 50971, 51687, 50971, 51231, 56069, 51980, 58631, 52303, 50971, 51687, 50971, 51231, 68357, 51414, 54166, 51327, 61996, 51980, 69309, 51825, 50828, 50799, 52948, 50839, 52303, 50971, 52102, 50907, 51303, 50971, 51651, 50971, 50416, 51981, 65149, 52932, 53223, 53171, 58936, 52932, 61494, 51981, 53383, 52932, 50839, 52303, 50870, 52102, 50971, 51303, 50870, 51651, 70898, 53927, 57531, 53171, 52925, 56822, 56859, 53171, 63136, 56074, 53813, 59969, 50846, 52303, 50870, 51687, 50870, 51231, 76428, 57494, 63753, 71343, 75406, 59969, 64598, 56074, 52843, 56822, 50828, 52303, 50971, 51687, 50971, 51231, 79390, 53171, 54859, 56822, 67230, 56074, 62474, 56822, 63569, 53171, 57400, 52932, 56603, 51981, 50841, 79480, 50971, 51303, 50870, 51651, 50870, 52948, 50835, 52303, 78666, 51825, 56390, 51980, 64305, 51327, 55394, 52948, 64729, 51825, 55754, 51980, 61599, 51327, 53935, 52303, 50971, 52102, 50971, 51303, 50870, 51651, 50870, 52948, 59749, 51825, 57050, 51980, 64408, 51327, 52417, 51825, 63116, 51327, 54728, 51980, 51157, 51687, 50870, 51231, 50870, 52303, 53003, 52303, 50870, 51687, 50870, 51231, 60202, 51687, 50813, 51231, 50854, 52303, 50862, 66490, 52160, 50882, 51583, 50882, 51856, 50882, 52856, 52189, 53432, 52050, 50817, 71965, 50837, 52102, 51000, 51303, 50825, 51651, 58593, 51825, 50925, 52932, 73965, 52948, 56779, 51825, 53906, 52932, 52731, 52102, 50870, 51651, 50825, 51303, 50829, 51980, 50886, 52303, 65368, 51825, 67393, 51980, 61193, 51327, 52767, 51980, 50886, 52932, 78885, 51825, 60831, 51687, 52742, 52303, 50834, 51231, 50834, 52932, 51254, 52948, 51123, 50440, 51825, 57917, 51980, 63938, 51327, 50863, 51825, 63634, 52932, 59957, 51327, 61495, 52932, 60649, 51687, 50820, 52303, 50839, 51980, 72980, 73745, 51825, 60554, 51980, 61021, 51327, 55293, 51980, 62371, 52932, 56569, 51980, 50912, 50799, 51980, 51000, 52932, 50941, 52303, 50837, 52102, 50837, 51303, 50829, 51651, 56127, 52109, 50813, 51980, 50857, 52932, 54475, 52109, 51252, 51980, 50862, 52932, 53450, 52303, 50837, 52102, 50837, 51303, 50825, 51651, 61660, 52932, 50867, 51327, 50941, 51980, 53705, 51327, 50827, 51980, 50854, 52932, 53269, 51687, 50863, 51327, 50864, 52303, 80240, 50886, 51980, 50864, 52932, 56532, 51414, 50867, 51980, 50886, 52932, 57522, 51414, 50810, 51980, 50844, 52932, 54276, 52303, 50862, 51687, 50857, 51231, 58186, 51825, 50854, 52932, 64175, 52303, 50854, 52948, 50854, 52932, 50857, 79480, 50870, 51651, 50837, 51825, 50813, 52932, 52063, 51303, 50835, 52303, 56231, 51980, 68582, 51327, 67724, 52932, 51177, 51980, 53803, 52102, 50904, 51651, 50837, 51825, 50874, 52303, 50886, 51303, 52818, 51981, 63116, 52932, 53813, 51687, 50904, 53927, 50812, 52303, 80240, 64100, 53171, 53743, 56822, 50940, 50448, 53171, 54004, 51687, 50837, 51231, 50867, 52303, 50886, 56074, 69821, 53171, 53173, 59969, 50961, 71343, 63848, 57494, 56249, 59969, 50828, 71343, 51255, 50460, 57494, 50840, 50799, 51651, 50829, 52303, 50825, 52102, 50867, 51303, 60461, 59969, 66182, 56074, 50864, 56822, 62846, 53171, 65599, 56822, 50828, 71343, 57629, 52303, 50886, 52102, 50874, 51303, 50834, 51651, 50886, 56074, 56865, 71343, 51832, 50430, 56074, 64205, 56822, 54860, 53171, 50878, 50436, 56822, 51115, 71343, 74610, 52303, 50825, 51687, 50835, 51231, 53057, 52303, 50867, 51687, 72980, 58186, 51687, 51178, 51231, 51121, 52303, 51100, 66490, 51583, 50811, 51856, 79709, 50882, 51245, 52651, 52050, 52885, 67152, 50837, 79480, 50942, 54872, 50910, 51303, 50959, 67211, 52971, 50882, 52023, 50950, 75058, 51497, 52651, 52050, 51759, 73486, 52611, 50426, 52102, 51128, 51651, 50941, 52303, 50835, 51303, 54956, 51825, 50910, 52932, 54372, 52948, 55167, 51825, 50836, 52932, 53894, 51687, 50941, 51980, 50942, 52932, 51142, 52303, 50864, 51231, 57917, 51327, 54434, 51980, 50873, 52932, 57415, 52303, 50874, 51687, 50864, 51231, 50867, 51980, 50844, 52932, 57651, 52303, 50901, 79480, 50851, 51303, 50857, 51651, 50864, 52109, 50857, 51825, 50855, 53001, 50904, 52932, 56572, 52109, 50971, 53001, 51000, 51825, 50820, 52932, 52944, 51327, 50827, 51980, 50822, 53001, 50904, 52932, 53935, 52109, 50904, 51825, 50857, 53001, 50971, 52932, 50864, 52303, 50864, 52102, 50912, 51303, 50813, 51651, 61660, 52109, 51126, 51825, 50829, 53001, 50971, 52932, 54854, 53001, 50864, 51327, 50864, 51980, 50857, 52932, 54350, 51980, 50862, 52932, 50827, 51414, 50822, 51981, 53894, 51687, 50837, 51231, 50886, 52303, 59356, 51980, 50864, 51414, 50864, 51981, 50886, 52932, 54394, 51414, 50844, 51980, 50854, 51981, 50833, 52932, 53140, 52303, 50813, 51687, 80240, 55726, 52948, 51221, 50454, 52932, 51124, 79480, 51524, 51651, 51365, 52303, 51008, 51303, 50874, 51825, 50878, 50418, 52948, 55105, 51981, 50878, 50424, 52932, 56412, 52102, 50907, 52303, 50851, 51303, 50867, 51651, 67393, 53927, 54860, 53171, 66144, 56822, 56810, 52303, 72980, 50867, 51687, 57917, 56074, 69869, 56822, 55368, 53171, 56888, 56822, 58138, 52303, 50813, 51687, 50829, 51231, 62603, 59969, 71529, 59969, 50961, 57494, 50882, 79480, 50886, 52303, 50835, 51303, 50834, 51651, 50834, 57494, 50940, 50418, 59969, 66553, 56074, 51620, 52303, 50886, 52102, 50912, 51303, 50834, 51651, 50941, 56822, 50940, 50430, 53171, 63023, 56822, 56360, 52303, 50862, 51687, 80240, 50862, 56074, 65389, 56822, 50866, 50449, 56822, 53068, 52303, 50813, 51687, 72980, 50813, 56822, 66145, 59969, 50828, 71343, 68384, 57494, 62309, 59969, 50820, 71343, 58223, 57494, 50862, 79480, 51330, 51651, 50932, 52303, 50995, 51303, 50981, 59969, 50839, 71343, 58315, 57494, 65000, 59969, 50839, 71343, 50844, 50419, 57494, 58745, 59969, 50839, 71343, 56174, 57494, 53425, 59969, 50841, 71343, 50822, 52303, 51480, 52102, 51108, 51303, 50981, 51651, 51108, 50427, 57494, 59225, 59969, 50839, 71343, 69227, 57494, 59062, 57494, 50810, 71343, 53269, 52303, 51194, 51687, 51043, 51231, 51194, 57494, 50858, 71343, 50905, 50442, 50624, 59969, 60886, 50624, 56074, 50862, 71343, 54185, 50623, 52303, 51095, 51687, 51178, 51231, 51110, 71343, 50905 ]
[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 25306, 619, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 762, 9, 272, 3694, 31473, 10, 2829, 2933, 5466, 7, 42, 765, 2125, 6, 61, 1575, 10, 33215, 16739, 9, 211, 6, 272, 119, 6, 8, 274, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50450, 51487, 67860, 76195, 57631, 57631, 66154, 66154, 61471, 61471, 51608, 50330, 55069, 51339, 50805, 53975, 70156, 57631, 57631, 58835, 58835, 65439, 65439, 51608, 50328, 51608, 50331, 54243, 52052, 57260, 62525, 59428, 59428, 58419, 58419, 62931, 62931, 51608, 50333, 55112, 52128, 52446, 50956, 62930, 62930, 62930, 58419, 58419, 65934, 65934, 51608, 50326, 51608, 50335, 55082, 50902, 58050, 55143, 78620, 58419, 58419, 58419, 51608, 50326, 51608, 50335, 55069, 50968, 61552, 50805, 59733, 50805, 51339, 59428, 75427, 51077, 50965, 51077, 50965, 51077, 50876, 51077, 50876, 51077, 50931, 51077, 50931, 64739, 52128, 53184, 51487, 52450, 51339, 50808, 52128, 53847, 51405, 50808, 51487, 52559, 51399, 50808, 51339, 53263, 71214, 51405, 52599, 79299, 51399, 54134, 71214, 52128, 52711, 79299, 51487, 53668, 51339, 50808, 52128, 52741, 51430, 50808, 51487, 53987, 51399, 50808, 51339, 52643, 71214, 51430, 53848, 79299, 51399, 50808, 62856, 50808, 51062, 54275, 79299, 51487, 52734, 51147, 50808, 51339, 53184, 66736, 51430, 52450, 51147, 57449, 59428, 59428, 59428, 62202, 62202, 58835, 58835, 51608, 50333, 55112, 51081, 52446, 50956, 62930, 59428, 59428, 59460, 59460, 58835, 58835, 51608, 50328, 51608, 50333, 55082, 51220, 57260, 62525, 59428, 59428, 66154, 66154, 61471, 61471, 51608, 50333, 55069, 51146, 50805, 53975, 70156, 57631, 57631, 58835, 58835, 65439, 65439, 65934, 51608, 50331, 54243, 50931, 74563, 69769, 51608, 50297, 62202, 62202, 61471, 61471, 62931, 62931, 55112, 73067, 51062, 57807, 50902, 52599, 51487, 74563, 76195, 51077, 51026, 51077, 79721, 79721, 50973, 51077, 50973, 51077, 50902, 51077, 50902, 63883, 51339, 53668, 51405, 52741, 71216, 51339, 53987, 71214, 51405, 52643, 51220, 50808, 51146, 53848, 74964, 71214, 56807, 50808, 51220, 54275, 74964, 51339, 52734, 66736, 51405, 53184, 71216, 51339, 52450, 71214, 51405, 53847, 51220, 50808, 51146, 52559, 71214, 52128, 53263, 51220, 50808, 51487, 52599, 51339, 50808, 52128, 54134, 51405, 50808, 51487, 52711, 71216, 51339, 53668, 71214, 51405, 52741, 61795, 61795, 51081, 57260, 62525, 57631, 78620, 58419, 51608, 50330, 55069, 51050, 69769, 50805, 51147, 50805, 55881, 50805, 51197, 60693, 61480, 62930, 57631, 78620, 58419, 51608, 50335, 55385, 50956, 61480, 50805, 51487, 52483, 50899, 57260, 50805, 51339, 61480, 62930, 59460, 59460, 58835, 58835, 51608, 50328, 55112, 50900, 62530, 50805, 51405, 52446, 50931, 74492, 73090, 59428, 59428, 58419, 58419, 61471, 61471, 51608, 50330, 55480, 50951, 52596, 51147, 62530, 70156, 62930, 62930, 62202, 62202, 65439, 65439, 51608, 50328, 55069, 50951, 50805, 60820, 59879, 62525, 51077, 50899, 51077, 50965, 51077, 50965, 51077, 50906, 51077, 50906, 51077, 50931, 51077, 50931, 64739, 51339, 53184, 51405, 52450, 71216, 51339, 53847, 71214, 51405, 52559, 79299, 51146, 53263, 71214, 52128, 52599, 79299, 51487, 54134, 51339, 50808, 52128, 52711, 51405, 50808, 51487, 53668, 71216, 51339, 52741, 50965, 50805, 51405, 61480, 62930, 78620, 58419, 65934, 65934, 51608, 50331, 55069, 50861, 50805, 51399, 50805, 54960, 56472, 63379, 63379, 50805, 51176, 51608, 50300, 62202, 62202, 51608, 50328, 51608, 50331, 55385, 50902, 58050, 59879, 59879, 52483, 61795, 51026, 58204, 58419, 65439, 65439, 65934, 65934, 51608, 50326, 51608, 50331, 55112, 51176, 50805, 51176, 52446, 51081, 74492, 73090, 58419, 58419, 65439, 65439, 62931, 62931, 62931, 55480, 51062, 52596, 51081, 50805, 51234, 51608, 50290, 59428, 59428, 61471, 61471, 62931, 62931, 51608, 50330, 55069, 51147, 50805, 76953, 60693, 51608, 50295, 51077, 51197, 51077, 79721, 79721, 50906, 51077, 50906, 51077, 51001, 51077, 51001, 64739, 51487, 53184, 51339, 52450, 51405, 50808, 51487, 53847, 51399, 50808, 51339, 52559, 71214, 51405, 53263, 79299, 51399, 52599, 51147, 50808, 51062, 54134, 79299, 51487, 52711, 51147, 50808, 51339, 53668, 51405, 50808, 51487, 52741, 71216, 51339, 53987, 71214, 51405, 52643, 79299, 51146, 53848, 51147, 50808, 71214, 56807, 50808, 51081, 54275, 51147, 50808, 51339, 52734, 66736, 51405, 53184, 66695, 51146, 52450, 50956, 61480, 60693, 61480, 62930, 58419, 58419, 65934, 65934, 51608, 50331, 55112, 50899, 57260, 59879, 52446, 51405, 62530, 70156, 62930, 62930, 58835, 58835, 65439, 65934, 65934, 55480, 51146, 52596, 50997, 73090, 62930, 62930, 58835, 58835, 65439, 65934, 65934, 51608, 50328, 50889, 56229, 72136, 51608, 50301, 62930, 62930, 58835, 58835, 62931, 62931, 51608, 50328, 55385, 50876, 52483, 51086, 51608, 50303, 62525, 57631, 57631, 62931, 62931, 51608, 50330, 62525, 51077, 50951, 61086, 51405, 62530, 70156, 62525, 57631, 57631, 65439, 65439, 55480, 51487, 55082, 51085, 51608, 50292, 70156, 70156, 59460, 59460, 65439, 65439, 51608, 50328, 55069, 51787, 50805, 75464, 50805, 51220, 76195, 51077, 51026, 51077, 50899, 51077, 50899, 51077, 50973, 51077, 50973, 51077, 50902, 51077, 50902, 64739, 52128, 53184, 51487, 52450, 51339, 50808, 52128, 53847, 51405, 50808, 51487, 52559, 71216, 51339, 53263, 71214, 51405, 52599, 51220, 50808, 51146, 54134, 74964, 51062, 52711, 66736, 51220, 53668, 79630, 50999, 52741, 51026, 76195, 57631, 57631, 66154, 66154, 61471, 61471, 51608, 50327, 65934, 51141, 53997, 51608, 50292, 57631, 57631, 58835, 58835, 65439, 65439, 65439, 55385, 51147, 52483, 51081, 50805, 51120, 51608, 50294, 59428, 59428, 58419, 58419, 61471, 61471, 62931, 55112, 51147, 52446, 51315, 51608, 50296, 57631, 78620, 58419, 58835, 58835, 65934, 51608, 50328, 55082, 51050, 70156, 70156, 59460, 59460, 58835, 58835, 62931, 78599, 51608, 50297, 51077, 54197, 62525, 62525, 57631, 78620, 58419, 65934, 51608, 50326, 54243, 51315, 51608, 50296, 70156, 70156, 57631, 78620, 58419, 65934, 51608, 50328, 53912, 71214, 50999, 51116, 51050, 51077, 51050, 51077, 50900, 51077, 50900, 75427, 75427, 74114, 74114, 51077, 50441, 51339, 52711, 51405, 53668, 51399, 50808, 51339, 52741, 71214, 51405, 53987, 79299, 51399, 52643, 74964, 51062, 53848, 79299, 51787, 50808, 58479, 50808, 51339, 54275, 51405, 50808, 51787, 52734, 51399, 50808, 51339, 53184, 71214, 51405, 52450, 51220, 50808, 51146, 53847, 71214, 52128, 52559, 51220, 50808, 51487, 53263, 51339, 50808, 52128, 52599, 51405, 50808, 51487, 54134, 71216, 51339, 52711, 71214, 51405, 53668, 51220, 50808, 51146, 52741, 51062, 50805, 51197, 51608, 50295, 70156, 70156, 57631, 57631, 58835, 58835, 51608, 50328, 55069, 51405, 50889, 54594, 68555, 51176, 51608, 50300, 70156, 70156, 58835, 58835, 51608, 50328, 55385, 50871, 57449, 50805, 51339, 52483, 50902, 58050, 67860, 76195, 57631, 78620, 58419, 51608, 50326, 51608, 50335, 55112, 51001, 63379, 52446, 51027, 72136, 57449, 57449, 56472, 56472, 66083, 68968, 59879, 62931, 55480, 51086, 50805, 68246, 57260, 58050, 58050, 59879, 50805, 51147, 52596, 50956, 61480, 55143, 68555, 51062, 62530, 70156, 65439, 65439, 65934, 55069, 50900, 62530, 56472, 56472, 63379, 50805, 57190, 59879, 69769, 51608, 50297, 62202, 58835, 58835, 61471, 51608, 50324, 61471, 64739, 50965, 63379, 52483, 50899, 58050, 67860, 76195, 62525, 66154, 66154, 61471, 65934, 55112, 50899, 50805, 51220, 52446, 50951, 68968, 51608, 50292, 51077, 51085, 51077, 50956, 51077, 50956, 51077, 79721, 79721, 50876, 51077, 50876, 63883, 51399, 53668, 51062 ]
[ 0, 250, 15352, 30054, 1619, 2214, 11, 5, 3495, 2496, 19, 15855, 16882, 6, 4246, 856, 17993, 6, 10170, 1499, 6, 21979, 8669, 6, 21040, 2426, 6, 8, 21979, 9590, 6, 278, 11, 10, 19448, 155, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 11061, 163, 5683, 6, 24826, 198, 5, 762, 9, 274, 538, 19, 10, 5705, 16331, 33215, 16739, 9, 230, 406, 6, 274, 6, 163, 428, 6, 230, 406, 6, 8, 274, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50629, 51007, 50834, 50761, 50302, 51662, 72132, 51662, 59888, 51518, 51261, 51591, 53360, 50994, 51252, 74481, 67722, 51007, 56231, 51007, 62238, 51007, 63266, 51007, 53070, 51007, 50825, 50960, 65151, 51550, 50421, 51007, 50837, 51007, 55983, 51007, 53991, 51007, 59825, 51007, 58990, 51007, 50870, 51007, 52712, 51007, 50825, 57101, 50849, 50970, 57429, 50370, 69972, 51252, 50427, 51007, 50908, 50428, 51007, 58027, 51007, 60741, 51007, 79371, 53063, 51007, 50829, 53081, 50805, 50960, 55006, 51550, 50433, 51007, 50891, 51007, 56446, 51007, 54950, 51007, 59131, 51007, 57540, 51007, 52621, 57101, 50873, 51994, 50889, 51067, 61073, 55171, 55641, 51252, 50439, 51007, 50908, 51007, 62047, 51007, 56755, 51007, 79371, 60067, 51007, 62971, 51007, 53162, 51007, 77729, 50820, 57101, 50917, 50960, 50925, 51140, 50917, 50913, 51550, 50445, 51007, 57728, 51007, 50891, 51007, 54368, 51007, 56918, 51007, 50829, 51034, 50850, 50834, 50761, 50301, 51662, 50761, 50304, 51662, 50761, 50307, 51518, 66963, 51518, 58169, 51518, 54520, 51518, 52498, 50943, 51140, 51486, 53360, 50994, 51252, 59609, 67722, 50850, 56231, 50850, 62238, 50850, 63266, 50850, 53070, 50850, 50825, 63896, 50913, 51550, 50421, 50850, 63607, 55983, 50850, 53991, 50850, 59825, 50850, 58990, 50850, 67804, 52712, 50850, 50825, 59888, 50849, 51873, 50943, 51136, 57429, 50370, 69972, 51252, 64349, 50908, 50428, 50850, 58027, 50850, 60741, 50850, 58213, 53063, 50850, 50829, 53587, 50805, 50986, 55006, 51550, 50433, 50850, 76780, 56446, 50850, 54950, 50850, 59131, 50850, 57540, 50850, 52621, 55233, 50873, 51531, 51003, 50947, 61073, 55171, 55641, 51252, 62100, 71040, 62047, 50850, 56755, 50850, 58213, 60067, 50850, 62971, 50850, 53162, 50850, 58875, 50820, 59888, 50917, 50986, 63832, 51550, 50445, 50850, 57728, 50850, 76780, 54368, 50850, 56918, 50850, 50829, 51034, 51298, 50834, 50761, 50301, 51662, 50761, 50304, 51592, 50761, 50307, 51518, 50672, 50285, 51486, 51994, 50914, 51873, 50914, 52183, 50914, 51140, 51591, 53360, 50994, 51252, 50415, 51298, 67722, 51298, 56231, 51298, 62238, 51298, 63266, 51298, 53070, 51298, 50825, 63896, 50913, 51550, 50421, 51298, 50837, 51298, 55983, 51298, 53991, 51298, 59825, 51298, 58990, 51298, 50870, 51298, 52712, 51298, 50825, 59829, 51100, 52498, 50943, 51873, 50943, 51666, 50943, 51136, 57429, 50370, 69972, 51252, 50427, 51298, 50908, 50428, 51298, 58027, 51298, 60741, 51298, 50835, 51298, 53063, 51298, 50829, 53587, 50901, 50986, 55006, 51550, 50433, 51298, 50891, 51298, 56446, 51298, 54950, 51298, 59131, 51298, 57540, 51298, 52621, 55233, 51194, 54520, 51003, 51873, 51003, 51531, 51003, 50947, 61073, 55171, 55641, 51252, 50439, 51298, 50908, 51298, 62047, 51298, 56755, 51298, 50835, 51298, 60067, 51298, 62971, 51298, 53162, 51298, 50820, 51298, 50820, 59888, 50901, 50986, 50925, 51150, 50917, 50913, 51550, 50445, 51298, 57728, 51298, 50891, 51298, 54368, 51298, 56918, 51298, 50829, 51034, 51007, 50834, 72132, 51703, 59888, 51148, 57101, 51080, 53081, 51447, 50672, 50290, 51077, 68962, 51077, 51994, 50889, 52157, 51103, 53360, 50994, 51252, 74481, 67722, 51007, 56231, 51007, 62238, 51007, 63266, 51007, 53070, 51007, 50825, 50960, 65151, 51550, 50421, 51007, 50837, 51007, 55983, 51007, 53991, 51007, 59825, 51007, 58990, 51007, 50870, 51007, 52712, 51007, 50825, 53342, 51077, 51988, 51077, 50970, 57429, 50370, 69972, 51252, 50427, 51007, 50908, 50428, 51007, 58027, 51007, 60741, 51007, 79371, 53063, 51007, 50829, 50960, 55006, 51550, 50433, 51007, 50891, 51007, 56446, 51007, 54950, 51007, 59131, 51007, 57540, 51007, 52621, 50847, 50834, 50761, 50302, 52025, 50761, 50305, 51097, 74077, 51330, 55553, 51333, 50672, 50293, 50943, 52157, 58028, 55171, 55641, 51252, 50439, 50847, 66424, 50847, 55788, 50847, 59457, 50847, 60862, 50847, 53027, 50847, 50825, 51246, 65151, 51550, 79144, 64780, 56453, 50847, 54673, 50847, 61333, 50847, 57723, 50847, 50870, 51034, 50909, 50834, 50761, 50307, 53082, 59888, 53082, 55233, 53082, 53587, 53082, 66963, 50943, 51873, 51127, 52183, 51127, 51691, 51127, 51140, 51047, 53360, 50994, 51252, 60043, 67722, 50909, 56231, 50909, 62238, 50909, 63266, 50909, 53070, 50909, 50825, 63896, 50913, 51550, 50421, 50909, 50837, 50909, 55983, 50909, 53991, 50909, 59825, 50909, 58990, 50909, 50870, 50909, 52712, 50909, 50825, 50672, 50285, 51003, 51136, 57429, 50370, 69972, 51252, 67577, 50908, 50428, 50909, 58027, 50909, 60741, 50909, 67234, 53063, 50909, 50829, 50986, 55006, 51550, 50433, 50909, 50891, 50909, 56446, 50909, 54950, 50909, 59131, 50909, 57540, 50909, 52621, 70696, 51150, 61701, 55171, 55641, 51252, 76858, 50908, 50909, 62047, 50909, 56755, 50909, 67234, 60067, 50909, 62971, 50909, 53162, 50909, 68341, 50820, 50986, 63832, 51550, 50445, 50909, 57728, 50909, 50891, 50909, 54368, 50909, 56918, 50909, 50863, 50909, 50829, 51034, 50909, 50834, 51140, 51218, 53360, 50994, 51252, 60043, 67553, 50909, 56231, 50909, 62307, 50909, 53070, 50909, 68341, 50820, 50986, 53189, 51550, 50421, 50909, 54104, 50909, 60463, 50909, 58990, 50909, 52670, 50909, 50870, 51136, 50952, 75941, 50370, 69972, 51252, 67577, 70246, 64561, 50909, 53943, 50909, 58032, 50909, 67234, 53063, 50909, 70246, 50820, 50986, 56474, 51550, 50433, 50909, 56565, 50909, 54606, 50909, 54617, 51252, 50436, 50909, 57405, 50909, 68341, 52950, 52758, 68185, 50834, 51666, 50805, 50947, 50938, 51140, 51400, 75941, 54553, 58071, 55641, 51252, 76858, 66424, 50909, 50837, 53012, 51252, 50442, 50909, 59692, 50909, 53114, 54544, 50987, 50909, 50834, 52183, 50838, 50986, 53119, 55641, 51550, 50445, 50909, 56453, 50909, 53528, 50909, 53966, 77047, 50909, 70246, 56038, 50909, 50820, 51034, 53141, 51090, 50761, 50302, 51662, 72132, 51662, 59888, 51518, 50672, 50290, 51538, 51988, 51538, 51666, 51538, 51691, 50889, 52157, 51486, 53360, 52054, 54711, 50960, 55035, 52969, 51013, 57101, 50849, 51871, 50943, 50970, 57429, 54661, 53081, 50805, 50960, 54181, 53141, 51013, 57101, 50873, 51691, 50943, 51067, 61073, 54478, 57101, 50917, 50960, 50925, 51034, 54489, 50807, 50761, 50302, 52431, 72132, 51422, 59888, 51662, 70731, 51939, 57970, 51183, 53342, 51183, 52498, 51183, 53094, 51183, 51988, 51003, 52157, 51486, 50801, 54711, 51246, 55035, 52758, 50896, 51666, 50914, 50960, 57429, 54661, 57101, 51679, 51246, 54181, 53141, 50893, 53081, 51233, 51691, 50873, 51169, 61073, 54478, 54544, 50866, 63718, 50874, 52183, 50974, 51246, 50925, 51034, 66023, 50807, 50761, 50307, 53082, 55553, 53082, 57101, 53082, 50672, 50295, 51692, 57569, 51692, 57970, 51692, 52498, 51003, 51560, 51591, 50801, 54711, 51246, 55035, 54890, 51090, 51994, 50889, 51136, 57429, 54661, 51246, 54181, 54489, 51090, 51988, 50889, 51064, 61073, 54478, 51246, 50925, 51034, 66023, 51013, 50672, 50295, 51127, 57569, 51127, 57970, 51127, 54520, 50943, 51560, 51486, 50801, 54711, 51246, 52654, 54890, 51013, 51994, 50943, 51136, 50952, 50903, 54661, 51246, 53415, 54489, 50795, 51988, 50901, 51064, 50938, 50903, 54478, 54890, 50987, 51994, 50974, 51246, 50810, 51034, 56026, 50896, 50761, 50301, 53413, 50761, 50304, 53478, 50761, 50307, 52821, 68962, 51486, 58169, 51486, 54520, 51486, 52498, 50914, 51140, 51591, 50801, 54711, 59888 ]
[ 0, 250, 5679, 26709, 8, 19448, 15855, 2125, 6, 42, 8787, 15229, 30853, 23, 10, 2635, 20889, 6, 7630, 14805, 10, 1472, 9, 3722, 5581, 4, 20, 2342, 4467, 1239, 5, 483, 6, 7513, 30, 5, 32625, 23225, 9, 41, 21979, 8669, 6, 3459, 8669, 6, 6755, 12547, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 274, 6, 230, 6, 163, 428, 6, 8, 230, 406, 6, 2351, 10, 43580, 3693, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 50, 10, 1151, 9, 5128, 12456, 148, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50619, 51113, 50824, 51093, 51352, 51395, 50824, 51201, 54107, 51154, 51352, 51113, 51352, 51395, 53663, 52776, 50811, 51299, 51300, 50440, 53623, 55092, 53215, 60869, 52602, 52940, 54333, 57915, 52143, 55059, 53599, 57795, 52371, 52768, 52481, 50811, 51883, 50976, 50452, 52830, 55552, 51887, 57916, 53148, 57859, 51699, 50817, 52316, 52193, 51883, 58691, 51638, 56995, 52065, 50817, 51299, 57239, 51794, 60488, 51251, 56912, 51426, 50817, 51301, 50817, 50799, 54809, 51059, 51596, 51059, 54244, 50932, 51638, 51009, 51251, 51009, 51154, 51009, 51261, 57214, 52286, 50838, 52000, 50838, 51322, 52688, 52000, 50838, 73142, 51256, 58125, 55830, 50811, 52161, 52726, 53124, 50811, 51606, 50811, 52000, 56784, 52182, 50811, 51565, 52952, 57624, 51059, 51752, 51059, 51664, 50932, 51883, 51009, 51299, 51009, 51154, 51009, 51793, 57310, 52286, 50838, 51451, 52985, 51664, 50838, 51451, 50838, 51256, 59354, 54809, 50811, 51596, 52884, 55830, 50811, 52161, 50811, 51664, 56517, 53124, 50811, 51606, 50811, 50799, 67966, 50860, 52315, 50860, 51830, 50932, 51638, 51009, 51426, 51009, 51088, 51009, 52078, 57214, 52315, 50811, 51827, 50811, 52000, 50838, 51772, 56909, 52182, 50811, 51565, 52968, 55830, 51059, 52161, 51059, 52000, 50838, 51772, 50838, 51209, 53052, 51830, 52718, 52286, 50932, 51299, 51009, 51426, 51009, 51113, 51009, 51093, 51009, 51793, 68071, 51752, 50811, 51673, 52940, 52155, 50811, 51686, 50811, 51451, 50838, 51772, 57060, 53124, 50811, 51606, 52768, 53124, 50817, 51606, 50817, 51772, 50838, 65905, 51334, 70792, 55830, 50817, 52161, 62353, 53124, 50817, 51606, 54085, 55830, 50817, 52161, 57916, 53124, 50817, 51606, 50817, 55830, 50817, 52161, 57859, 53124, 50817, 51606, 50817, 55830, 50817, 52161, 52193, 54809, 50803, 51596, 50803, 52286, 56517, 55830, 50811, 52161, 50811, 50799, 54809, 50860, 51596, 50860, 52000, 50932, 51251, 51009, 51154, 51009, 51165, 51009, 52078, 61912, 57624, 50803, 51752, 50803, 73142, 51256, 56909, 67966, 51059, 52315, 65084, 73142, 51256, 50838, 51408, 53052, 51664, 52718, 52315, 51059, 51827, 51059, 51830, 50932, 51251, 50824, 51088, 50824, 51165, 53681, 73142, 51209, 50838, 51408, 52985, 51209, 50838, 51408, 50838, 51390, 50838, 51088, 50824, 51165, 50824, 51107, 57325, 52182, 50811, 51565, 52884, 52155, 50811, 51686, 50811, 51830, 56517, 52315, 50811, 51827, 50811, 50799, 57624, 51059, 51752, 51059, 52733, 50932, 51299, 50824, 51088, 50824, 51984, 57214, 51451, 50838, 51209, 52688, 63326, 51334, 50838, 51301, 50824, 51093, 58542, 54120, 50811, 51789, 52726, 52182, 50811, 51565, 50811, 52733, 56784, 52315, 50811, 51827, 52952, 52155, 51059, 51686, 51059, 52286, 50932, 51299, 77105, 50824, 51113, 50824, 51793, 57310, 51451, 50838, 51256, 50838, 51229, 52985, 51664, 50838, 51451, 50838, 51256, 50838, 51334, 50838, 51299, 77105, 50824, 51093, 57325, 53124, 50811, 51606, 52884, 54809, 50811, 51596, 50811, 52286, 56517, 57624, 50811, 51752, 50811, 50799, 67966, 51059, 52315, 51059, 52468, 50932, 51638, 50824, 51251, 77105, 50824, 51389, 57214, 52000, 50838, 73142, 51256, 52688, 73142, 51256, 50838, 51408, 50838, 51251, 77105, 50824, 51165, 58542, 54809, 50811, 51596, 52726, 53124, 50811, 51606, 50811, 52468, 56784, 52155, 50811, 51686, 52952, 52182, 51059, 51565, 51059, 52733, 50932, 51299, 50824, 51088, 50824, 51984, 57310, 51451, 50838, 51209, 52985, 51451, 50838, 51209, 50838, 51408, 50838, 51299, 50824, 51088, 50824, 51165, 57325, 54120, 50811, 51789, 52884, 57624, 50811, 51752, 50811, 52733, 56517, 67966, 50811, 52315, 50811, 50799, 68645, 50803, 52155, 50803, 52286, 50932, 51299, 50824, 51088, 50824, 51165, 50824, 51793, 67330, 57624, 50811, 51752, 53213, 54120, 50803, 51789, 50803, 51451, 50838, 51209, 50838, 51408, 56909, 53124, 50811, 51606, 52968, 53124, 51059, 51606, 51059, 51451, 50838, 51256, 50838, 65905, 51299, 77105, 50824, 51113, 53566, 51664, 52718, 52000, 50838, 51154, 50824, 51088, 50824, 52078, 57699, 52182, 50811, 51565, 52940, 52315, 50811, 51827, 50811, 51830, 50838, 51256, 50838, 51209, 57060, 51596, 50811, 51886, 52768, 53124, 50811, 51606, 50811, 51451, 50838, 63326, 51408, 50838, 51299, 50824, 51301, 50824, 51165, 50824, 51150, 50824, 50452, 54120, 50817, 51789, 57916, 53124, 50817, 51606, 50817, 54120, 50817, 51789, 57859, 53124, 50817, 51606, 50817, 54120, 50817, 51789, 52193, 53124, 50817, 51606, 50817, 53046, 67590, 54120, 50817, 51789, 50817, 53124, 50817, 51606, 56995, 54120, 50817, 51789, 53736, 53124, 50811, 51606, 50811, 50799, 53124, 51009, 51606, 51009, 52286, 50932, 51299, 77105, 50824, 51113, 50824, 51793, 54226, 51451, 50838, 51256, 50838, 51229, 52688, 51664, 50838, 51451, 50838, 51256, 50838, 51334, 50838, 51299, 77105, 50824, 78469, 51930, 53566, 54223, 52718, 53320, 51059, 52251, 51059, 52468, 50932, 51251, 50824, 51375, 50824, 51357, 50824, 51389, 53681, 73142, 51674, 50838, 51590, 52985, 73142, 51674, 50838, 51590, 50838, 51893, 50838, 51251, 50824, 51375, 50824, 51357, 50824, 51793, 57325, 53124, 50811, 51606, 52884, 54809, 50811, 51596, 50811, 52286, 56517, 57624, 50811, 51752, 50811, 50799, 65938, 51059, 52202, 51059, 51830, 50932, 51154, 50824, 51088, 50824, 51107, 50824, 52078, 57214, 51256, 50838, 51209, 50838, 51390, 52688, 66753, 51256, 50838, 51209, 50838, 51154, 50824, 51088, 58542, 57624, 50811, 51752, 52726, 54809, 50811, 51596, 50811, 53008, 56784, 55830, 50811, 52161, 52952, 53124, 50811, 51606, 50811, 54849, 50932, 51251, 77105, 50824, 51668, 57699, 52182, 50811, 51565, 52940, 53320, 50811, 52251, 50811, 73142, 51256, 57060, 52202, 50811, 52156, 52768, 51596, 50860, 51886, 50860, 73142, 51256, 50838, 51590, 50838, 51251, 77105, 50824, 51357, 50824, 52078, 54098, 53124, 50860, 51606, 50860, 51830, 50838, 50799, 55830, 50860, 52161, 50860, 53046, 50932, 51426, 50824, 51088, 50824, 51150, 57214, 54809, 50803, 51596, 50803, 51772, 50838, 51209, 56909, 57624, 50811, 51752, 52968, 52161, 51059, 52480, 51059, 51772, 50838, 51209, 50838, 51334, 50838, 51426, 50824, 51088, 50824, 51093, 53566, 51451, 52718, 52000, 50932, 51638, 50824, 51426, 50824, 52078, 68071, 51596, 50811, 51886, 52940, 51752, 50811, 51673, 50811, 51830, 50838, 51772, 57060, 51596, 50811, 51886, 57795, 52202, 50817, 52156, 52568, 51752, 51059, 51673, 51059, 51772, 50838, 51209, 50838, 51638, 50824, 51426, 50824, 51088, 54098, 52000, 50838, 50799, 53008, 50932, 51251, 77105, 50824, 52078, 69881, 52315, 50811, 51827, 53213, 53320, 50811, 52251, 50811, 73142, 51256, 56909, 52182, 50811, 51565, 52968, 53124, 50811, 51606, 50811, 73142, 51256, 50838, 51590, 50838, 51251, 77105, 50824, 51375, 50824, 51357, 58542, 55830, 50811, 52161, 52726, 54809, 50811, 51596, 50811, 51674, 56784, 52202, 50811, 52156, 52952, 51752, 50803, 51673, 50803, 51209, 50838, 51638, 62748, 56119, 51596, 50817, 51886, 60178, 51752, 50817, 51673, 58772, 52202, 50817, 52156, 52267, 51752, 50803, 51673, 50803, 51256, 50838, 51674, 50838, 51334, 50838, 51154, 50802, 51375, 68308, 55373, 51596, 50811, 51886, 52768, 52161, 50802, 52480, 50802, 51209, 50838, 51590, 50838, 51088, 50824, 51357, 54098, 51596, 50803, 51886, 50803, 51830, 56517, 51752, 50811, 51673, 50811, 72849, 51009, 51673, 51009, 53046, 50932, 51426, 50824 ]
[ 0, 250, 2635, 12, 20764, 15855, 2125, 4246, 856, 17993, 6, 6755, 12547, 6, 3551, 139, 6, 2662, 271, 6, 8, 21711, 102, 6, 7630, 14805, 10, 25306, 5466, 10686, 13, 822, 2369, 36546, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 22848, 10, 33215, 16739, 9, 3676, 6, 211, 119, 6, 8, 381, 6, 2351, 10, 1472, 9, 4149, 6, 9733, 6, 8, 15073, 624, 63, 6561, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 54291, 50921, 55725, 51160, 53827, 50806, 53827, 50806, 51201, 50921, 51384, 51160, 53304, 50806, 64013, 52774, 54291, 50880, 53827, 50806, 53827, 50806, 79638, 53304, 50806, 64013, 54901, 54291, 50821, 51201, 52422, 54291, 50821, 55233, 50806, 53011, 50806, 53011, 50806, 51201, 50821, 68027, 53304, 50806, 75885, 57200, 53546, 50821, 51266, 52686, 58989, 50821, 53546, 50806, 53011, 50806, 53011, 50806, 51394, 50821, 51266, 50806, 53304, 50806, 75885, 55246, 54269, 50821, 51284, 52877, 53081, 50921, 55725, 51160, 54296, 50806, 54296, 50806, 51107, 50921, 51384, 51160, 54971, 50806, 50755, 50302, 52692, 53081, 50921, 54296, 50806, 54296, 50806, 51107, 50921, 53159, 50806, 50755, 50302, 55967, 54291, 50821, 51201, 53153, 54291, 50821, 53081, 50921, 53941, 50806, 53941, 50806, 51201, 50821, 51107, 50921, 53304, 50806, 50755, 50301, 59908, 53546, 50821, 51266, 52935, 53081, 50880, 58989, 50821, 53941, 50806, 53941, 50806, 75114, 51394, 50821, 53304, 50806, 50755, 50301, 56277, 54269, 50821, 51284, 50821, 50799, 53081, 50921, 55725, 51160, 53155, 50806, 53155, 50806, 51107, 50921, 51384, 51160, 54971, 50806, 50755, 50299, 52774, 53081, 50880, 53155, 50806, 53155, 50806, 75114, 53159, 50806, 50755, 50299, 54901, 58989, 50821, 51394, 52422, 58989, 50821, 61991, 50921, 53941, 50806, 53941, 50806, 51394, 50821, 51488, 50921, 54388, 50806, 50755, 50301, 57200, 54269, 50821, 51284, 52686, 53546, 50880, 54269, 50821, 58209, 50806, 58209, 50806, 70054, 51284, 50821, 53304, 50806, 73810, 55246, 68380, 50821, 51926, 52877, 67283, 50821, 54291, 50806, 53827, 50806, 53827, 50806, 51690, 50821, 51201, 50806, 53304, 50806, 64013, 57419, 54269, 50821, 51284, 53247, 60312, 50821, 55233, 50806, 53011, 50806, 53011, 50806, 51733, 50821, 68027, 53304, 50806, 75885, 55967, 67283, 50821, 51690, 53153, 55233, 50806, 55725, 51160, 54296, 50980, 54296, 50980, 68027, 51384, 51160, 54364, 50980, 50755, 50302, 57175, 55553, 50806, 51088, 56277, 63913, 50821, 51905, 50821, 50799, 55233, 50980, 63913, 50980, 53941, 50980, 53941, 50980, 51113, 50980, 51905, 50980, 54388, 50980, 50755, 50301, 56925, 55233, 50806, 51113, 52322, 54291, 50821, 51201, 56050, 53546, 50821, 51266, 53247, 54269, 50821, 51284, 54787, 53208, 50821, 51182, 53153, 58989, 50821, 51394, 55982, 54269, 50821, 51284, 52935, 55725, 50821, 51384, 54863, 63913, 50821, 51905, 50821, 50799, 53587, 50921, 67283, 51160, 54807, 50806, 54807, 50806, 51093, 50921, 51690, 51160, 53304, 50806, 77273, 52774, 53587, 50921, 54807, 50806, 54807, 50806, 51093, 50921, 53304, 50806, 77273, 54901, 54269, 50821, 51284, 52422, 54269, 50821, 53587, 50921, 54807, 50806, 54807, 50806, 51284, 68896, 50921, 53485, 50806, 77273, 57200, 53208, 50821, 51182, 52686, 53587, 50880, 55725, 80227, 50806, 54807, 50806, 71315, 51384, 50821, 53159, 50806, 77273, 55246, 55540, 50821, 51304, 52877, 57101, 50921, 67283, 51160, 53879, 50806, 53879, 50806, 51165, 50921, 51690, 51160, 53554, 50806, 50755, 50294, 52692, 57101, 50921, 53879, 50806, 53879, 50806, 51165, 50921, 53554, 50806, 50755, 50294, 55967, 58989, 50821, 51394, 53153, 58989, 50821, 53587, 50921, 54807, 50806, 54807, 50806, 51394, 68896, 50921, 53554, 50806, 77273, 59908, 54269, 50821, 51284, 52935, 53587, 50880, 55725, 80227, 50806, 54807, 50806, 71315, 51384, 50821, 53554, 50806, 77273, 56277, 55540, 50821, 51304, 50821, 50799, 53081, 50806, 67283, 51160, 54296, 50806, 54296, 50806, 51107, 50806, 51690, 51160, 53554, 50806, 50755, 50302, 52774, 53081, 50806, 54296, 50806, 54296, 50806, 51107, 50806, 53554, 50806, 50755, 50302, 54901, 55725, 50821, 51384, 52422, 55725, 50821, 55233, 50806, 53941, 50806, 53941, 50806, 51384, 50821, 68027, 53554, 50806, 50755, 50301, 57200, 55540, 50821, 51304, 52686, 67283, 50821, 53587, 50806, 53941, 50806, 53941, 50806, 51690, 68896, 50806, 53554, 50806, 50755, 50301, 55246, 54291, 50821, 51201, 52877, 54291, 50821, 57101, 50806, 53155, 50806, 53155, 50806, 51201, 50821, 51165, 50806, 53159, 50806, 50755, 50299, 57419, 53546, 50821, 51266, 53247, 53155, 50806, 53155, 50806, 50755, 50299, 55967, 53546, 50821, 58989, 50821, 51266, 50821, 51394, 50821, 55253, 53153, 54291, 51160, 54269, 51160, 53448, 50806, 53448, 50806, 51201, 51160, 51284, 51160, 53485, 50806, 67471, 52931, 53448, 50806, 53448, 50806, 53485, 50806, 67471, 56277, 53546, 50821, 53208, 50821, 51266, 50821, 51182, 50821, 50799, 53546, 50980, 53208, 50980, 53011, 50980, 53011, 50980, 51266, 50980, 51182, 50980, 53485, 50980, 75885, 56925, 53587, 50806, 51093, 52322, 53081, 50821, 51107, 56050, 53587, 68896, 53247, 54291, 50821, 51201, 54787, 53546, 50821, 51266, 53153, 53208, 50821, 51182, 55982, 54291, 50821, 51201, 52935, 55725, 50821, 54291, 50806, 53941, 50806, 53941, 50806, 51384, 50821, 51201, 50806, 53554, 50806, 50755, 50301, 56277, 55540, 50821, 51304, 50821, 50799, 59829, 50821, 57101, 50806, 54296, 50806, 54296, 50806, 51395, 50821, 51165, 50806, 53554, 50806, 50755, 50302, 58718, 53081, 50821, 51107, 53113, 55725, 50821, 57101, 50806, 54296, 50806, 54296, 50806, 51384, 50821, 51165, 50806, 53554, 50806, 50755, 50302, 54901, 55540, 50821, 51304, 52422, 53208, 50821, 55553, 50806, 55323, 50806, 55323, 50806, 51182, 74567, 50806, 54364, 50806, 50755, 50303, 57200, 54291, 50821, 51201, 52686, 55725, 50821, 55553, 50806, 55323, 50806, 55323, 50806, 51384, 74567, 50806, 54364, 50806, 50755, 50303, 55246, 55540, 50821, 51304, 52877, 54291, 50821, 55553, 50806, 53011, 50806, 53011, 50806, 51201, 74567, 50806, 53159, 50806, 75885, 57419, 53546, 50821, 51266, 53247, 55725, 50821, 55553, 50806, 53011, 50806, 53011, 50806, 51384, 74567, 50806, 54388, 50806, 75885, 55967, 55540, 50821, 51304, 53153, 53208, 50821, 57101, 50806, 53827, 50806, 53827, 50806, 51182, 50821, 51165, 50806, 54364, 50806, 64013, 59908, 54291, 50821, 51201, 52935, 55725, 50821, 53081, 50806, 53827, 50806, 53827, 50806, 51384, 50821, 51107, 50806, 53554, 50806, 64013, 56277, 55540, 50821, 51304, 50821, 50799, 53587, 50806, 68380, 51160, 54850, 50806, 54850, 50806, 78251, 51926, 51160, 53159, 50806, 74935, 52774, 53587, 50806, 54850, 50806, 54850, 50806, 78251, 53159, 50806, 74935, 54901, 67283, 50821, 51690, 52422, 60312, 50880, 53587, 50806, 53011, 50806, 53011, 50806, 51733, 50880, 78251, 53159, 50806, 75885, 50806, 50428, 55725, 50880, 51384, 59965, 55540, 50880, 51304, 54053, 58989, 50880, 53546, 50806, 53011, 50806, 53011, 50806, 51394, 50880, 51266, 50806, 53485, 50806, 75885, 66454, 54269, 50880, 51284, 60958, 53208, 50880, 51182, 54459, 53081, 50806, 67283, 51160, 53827, 50806, 53827, 50806, 51107, 50806, 51690, 51160, 53304, 50806, 64013, 52692, 53587, 50806, 53941, 50806, 53941, 50806, 78251, 53304, 50806, 50755, 50301, 55967, 60312, 50821, 51733, 53153, 55725, 50880, 53081, 50806, 54296, 50806, 54296, 50806, 51384, 50880, 51107, 50806, 53554, 50806, 50755, 50302, 50806, 50452, 55540, 50880, 51304, 64526, 58989, 50880, 51394, 54647, 54269, 50880, 53546, 50806, 53011, 50806, 53011, 50806, 51284, 50880, 51266, 50806, 53485, 50806, 75885, 69810, 53208, 50880, 51182, 63958, 54291, 50880, 79638, 50799, 53081, 50806, 54291, 51160, 53827, 50806, 53827, 50806, 51107, 50806, 51201, 51160, 53304, 50806 ]
[ 0, 250, 15352, 30054, 8, 19448, 11057, 2214, 19, 3495, 16882, 6, 4246, 10, 13305, 483, 7513, 30, 21979, 9590, 6, 3459, 8, 21979, 29589, 6, 8, 10, 6755, 12547, 4, 20, 2125, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 230, 538, 4, 13231, 5, 2214, 6, 5, 33215, 16739, 9, 1918, 406, 6, 211, 119, 406, 6, 8, 272, 406, 35315, 5705, 6, 2351, 10, 32625, 5466, 1969, 13, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50796, 53202, 51148, 50902, 61711, 70673, 63285, 51476, 50907, 51231, 50907, 51249, 55875, 58782, 78777, 50947, 63906, 51049, 63605, 50876, 54112, 50902, 57990, 52841, 51273, 51148, 50876, 51417, 50804, 54803, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 67218, 78777, 50970, 63906, 55168, 75289, 53458, 51183, 50804, 58315, 50861, 53504, 57634, 50423, 78759, 50804, 58782, 51303, 51376, 51231, 51376, 51414, 51376, 51457, 51376, 73828, 51064, 63906, 51049, 50822, 52594, 52841, 51150, 51148, 52303, 51490, 51465, 51490, 51249, 51490, 51457, 51490, 79598, 52612, 52101, 60027, 50938, 74103, 51064, 63906, 55168, 50455, 50876, 64175, 50877, 51626, 50822, 53202, 76624, 59946, 50876, 61420, 51110, 50423, 51465, 50907, 51231, 50907, 51249, 50907, 51327, 55875, 58782, 74103, 50947, 63906, 51049, 66142, 57411, 51550, 50876, 57181, 51140, 56000, 50902, 57978, 52841, 51273, 51183, 50876, 51397, 79598, 52612, 67218, 51303, 51376, 51249, 51376, 51327, 51376, 51457, 51376, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51218, 52303, 51490, 51303, 51490, 51249, 51490, 51457, 51490, 50804, 58315, 61700, 50419, 50877, 71818, 50861, 51417, 50804, 58782, 73828, 51064, 63906, 51049, 66142, 54128, 51550, 50434, 51098, 50862, 52594, 52841, 51150, 51448, 50804, 54803, 51465, 52441, 51231, 52441, 51414, 52441, 51457, 52441, 50877, 63324, 54823, 74103, 51064, 50365, 51610, 54553, 55168, 50455, 50876, 61076, 51705, 50878, 59836, 75289, 53202, 51148, 50876, 54806, 50810, 50416, 50902, 51419, 53327, 58782, 51476, 51376, 51231, 51376, 51249, 51376, 78777, 50947, 63906, 51049, 63605, 62504, 50434, 50902, 50866, 52594, 52841, 51273, 51417, 50876, 51562, 50804, 54803, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 54823, 78777, 50970, 50365, 51610, 54553, 55168, 50458, 80218, 50941, 75289, 53458, 51115, 50861, 54172, 56624, 50877, 63867, 51303, 50907, 51231, 50907, 51414, 50907, 51457, 50907, 50861, 51446, 50804, 58782, 73828, 51064, 63906, 51049, 59909, 51668, 50942, 52594, 52841, 51150, 51183, 50804, 54803, 51465, 52441, 51231, 52441, 51414, 52441, 51457, 52441, 50804, 67218, 74103, 51064, 63906, 55168, 50451, 50861, 50938, 50455, 57956, 50459, 50899, 55588, 50822, 53202, 51148, 50804, 58315, 72302, 50423, 51410, 50907, 51303, 50907, 51249, 50907, 51327, 55875, 58782, 72540, 50947, 63906, 51049, 60092, 67559, 50431, 50861, 54112, 50877, 56873, 52841, 51273, 51148, 50804, 59615, 50871, 51127, 50447, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 54823, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51115, 50968, 54345, 58315, 50931, 67078, 51303, 52441, 51231, 52441, 51414, 52441, 51457, 52441, 50968, 53661, 71607, 73828, 51064, 63906, 51049, 60092, 50902, 78239, 51668, 68068, 50876, 53119, 52841, 51150, 51148, 50804, 59615, 61673, 50443, 50931, 55590, 50968, 60146, 50362, 58290, 55814, 51465, 51376, 51231, 51376, 51414, 51376, 51457, 53535, 50318, 50845, 74103, 51064, 50365, 51610, 54553, 51049, 71453, 72740, 50876, 50855, 75289, 53202, 51148, 52326, 51490, 51476, 51490, 51303, 51490, 51231, 51490, 50876, 56873, 70673, 51252, 50417, 50902, 51241, 53327, 58782, 78777, 50947, 63906, 51049, 63605, 50876, 55098, 50902, 54732, 52841, 51273, 51448, 50804, 59615, 73891, 52612, 54823, 51303, 51376, 51249, 51376, 51327, 51376, 51457, 51376, 78777, 50970, 63906, 55168, 50458, 51522, 50878, 75289, 53458, 51183, 50804, 58315, 50861, 60685, 50877, 75827, 72683, 50804, 58782, 51303, 51376, 51231, 51376, 51414, 51376, 51457, 51376, 73828, 51064, 63906, 51049, 50822, 52594, 52841, 51150, 51183, 50804, 54803, 51465, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 52101, 60027, 50897, 74103, 51064, 63906, 55168, 50455, 50876, 66376, 50877, 58224, 50822, 53202, 51148, 50804, 59946, 50876, 56076, 51465, 50907, 51231, 50907, 51249, 50907, 51327, 50907, 50902, 64390, 71607, 74103, 50947, 63906, 51049, 66142, 50876, 57181, 50902, 50866, 52594, 52841, 51273, 51148, 50804, 59615, 50876, 51448, 50447, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 67218, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51448, 50804, 58315, 65150, 50418, 50877, 66700, 78759, 50804, 58782, 51303, 51376, 51231, 51376, 51414, 51376, 51457, 51376, 73828, 51064, 63906, 51049, 59909, 51868, 50878, 52594, 52841, 51150, 51183, 50804, 54803, 51465, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 54823, 74103, 51064, 50365, 51610, 54553, 55168, 50451, 71091, 50455, 50876, 64175, 50877, 58224, 50822, 53202, 51148, 50804, 59946, 50876, 56076, 51476, 52441, 51231, 52441, 51249, 52441, 50902, 64390, 71607, 78777, 50947, 63906, 51049, 66142, 60215, 50434, 50902, 50978, 52594, 52841, 51273, 51183, 50804, 59615, 50876, 51562, 50447, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 67218, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51417, 50804, 58315, 58893, 50416, 50877, 50987, 64309, 51183, 50423, 51303, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 58782, 73828, 51064, 63906, 51049, 59909, 54128, 50941, 52594, 52841, 51150, 51448, 50804, 54803, 51465, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 67218, 74103, 51064, 63906, 55168, 50451, 59285, 50455, 50871, 63181, 51705, 50878, 50899, 50854, 75289, 53202, 51148, 50804, 58315, 50871, 51124, 50423, 51410, 52441, 51303, 52441, 51249, 52441, 51327, 52441, 50804, 58782, 72540, 50947, 63906, 51049, 60092, 62676, 50431, 50861, 55098, 50877, 54172, 52841, 51261, 51148, 50804, 59615, 50871, 51377, 50447, 51410, 52441, 51303, 52441, 51414, 52441, 50804, 67218, 72540, 51064, 63906, 55168, 73867, 50849, 50455, 50861, 56054, 50877, 54172, 50822, 53202, 51183, 50804, 58315, 50871, 51518, 50423, 51410, 50907, 51303, 50907, 51249, 50907, 51327, 55875, 52101, 65404, 50851, 50947, 63906, 51049, 50822, 52594, 52841, 51273, 51448, 52326, 52212, 51410, 52147, 51457, 51314, 50804, 59615, 51476, 51447, 50440, 51303, 56458, 50447, 51249, 51542, 50804, 50362, 58290, 55814, 78777, 50970, 50365, 51610, 53119, 51049, 64817, 72740, 51522, 50878, 50871, 50836, 75289, 53458, 51191, 52303, 51490, 51303, 51490, 51249, 51490, 51457, 51490, 52036, 52440, 51863, 52440, 50804, 58315, 50861, 57572, 50861, 57370, 71607, 51261, 51056, 73828, 51064, 63906, 51049, 63605, 50861, 54350, 50861, 54742, 52841, 51150, 51177, 52303, 51314, 51410, 51314, 51465, 51314, 51249, 51314, 52225, 52440, 51863, 52440, 50804, 59615, 50861, 75097, 51150, 53668, 50877, 64392, 67218, 51493, 50981, 74103, 51064, 50365, 51610, 53832, 55168, 50455, 50871, 58223, 50861, 53119, 50822, 53202, 51056, 52326, 51314, 51476, 51314, 51465, 51314, 51231, 51314, 52225, 52440, 51656, 52440, 50804, 58315, 50877, 78768, 50877, 51518, 50804, 71607, 52318, 50915, 74103, 50947, 63906, 51049, 50822, 52594, 52841, 51273, 51191, 52326, 52440, 51476, 51447, 51410, 52440, 51303, 53055, 51327, 51337, 51825, 51481, 51711, 52440, 51743, 52440, 50804, 54803, 51249, 51679, 51457, 51679, 50804, 67218, 51140, 51056, 78777, 50970, 50365, 51610, 53832, 51049, 54678, 50871, 53887, 50822, 53458, 50889, 52303, 51314, 51410, 51314, 51303, 51314, 51231, 51314, 52036, 52440, 51863, 52440, 50804, 58315, 74367, 53327, 71607, 74808, 73828, 51064 ]
[ 0, 250, 15352, 30054, 8, 20425, 3152, 2214, 19, 5175, 4785, 6, 4246, 81, 9756, 8, 30587, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 18558, 18046, 4, 8504, 11, 83, 3694, 19, 10, 1769, 20889, 6, 5, 2125, 25935, 1626, 227, 230, 8, 211, 40286, 6, 2351, 41, 9066, 8, 2829, 2933, 5466, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50415, 50635, 50796, 50439, 51011, 51056, 51701, 51790, 52295, 51790, 53051, 51790, 55697, 51790, 50775, 50321, 52062, 50734, 50337, 50845, 50442, 50734, 50332, 69265, 50734, 50330, 50845, 50448, 69258, 71364, 51011, 70229, 54726, 50870, 79048, 70172, 71409, 71248, 76569, 50845, 50460, 50734, 50308, 50845, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51288, 51391, 62686, 62128, 50870, 50734, 50301, 50915, 50421, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51219, 51337, 50816, 54726, 59118, 51288, 50987, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 51288, 51412, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51219, 51380, 50451, 51263, 50892, 51386, 50938, 51288, 51058, 58073, 54382, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51288, 51391, 51601, 62686, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 51219, 50905, 51587, 59619, 51069, 50937, 51580, 51109, 51288, 51233, 50816, 54726, 59118, 51069, 50987, 51200, 50866, 72218, 51219, 51058, 50439, 51069, 50937, 51580, 50943, 51200, 50943, 51219, 51277, 58073, 53971, 53333, 58586, 60795, 58073, 60822, 51069, 50987, 51296, 50873, 51288, 51363, 50451, 50964, 50937, 51200, 51121, 51580, 50943, 55281, 58073, 54382, 54726, 60202, 58073, 57077, 50927, 50987, 51347, 50873, 51386, 50849, 51288, 50974, 58073, 50829, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51288, 50981, 62686, 59109, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51219, 51242, 50816, 54726, 59118, 51288, 50978, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 51288, 51337, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51219, 51423, 50451, 51263, 50892, 51386, 50938, 51288, 63658, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51288, 51363, 51601, 51219, 50932, 58073, 53790, 53333, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 51288, 50978, 58073, 58064, 59825, 58073, 58815, 51069, 50937, 51580, 51109, 51288, 51412, 50816, 54726, 60286, 58073, 57160, 51069, 50987, 51200, 50866, 51323, 51353, 72218, 51219, 50974, 58073, 56866, 51069, 50937, 51580, 50943, 51200, 50943, 51288, 50978, 58073, 53971, 53333, 58586, 60479, 51069, 50987, 51296, 50873, 51288, 51233, 58073, 59528, 50964, 50937, 51200, 51121, 51580, 50943, 55281, 51219, 51423, 50816, 54726, 58908, 50927, 50987, 51347, 50873, 51386, 50849, 51288, 50978, 58073, 59652, 58073, 50841, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51288, 51480, 62686, 59109, 51219, 51277, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51288, 67041, 54726, 59118, 51288, 51233, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 51219, 51423, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51288, 50978, 50451, 51263, 50892, 51386, 50938, 51288, 50905, 58073, 54382, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51219, 50995, 51601, 58073, 53971, 53333, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 51288, 51212, 58073, 61682, 59825, 58073, 58815, 51069, 50937, 51580, 51109, 51219, 51480, 50816, 54726, 60286, 58073, 57160, 51069, 50987, 51200, 50866, 72218, 58073, 56866, 51069, 50937, 51580, 50943, 51200, 50943, 51288, 51233, 58073, 53971, 53333, 58586, 60479, 51069, 50987, 51296, 50873, 51219, 51337, 58073, 59528, 50964, 50937, 51200, 51121, 51580, 50943, 55281, 51288, 66610, 54726, 58908, 50927, 50987, 51347, 50873, 51386, 50849, 51288, 51411, 58073, 59652, 58073, 50841, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51219, 50995, 62686, 59109, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51288, 51233, 50816, 54726, 59118, 51323, 53241, 51219, 51253, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51288, 51337, 50451, 51263, 50892, 51386, 50938, 51219, 51423, 50816, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51288, 51233, 51601, 51219, 51775, 58073, 53971, 53333, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 58073, 61682, 59825, 58073, 58815, 51069, 50937, 51580, 51109, 51288, 51233, 50816, 54726, 60286, 58073, 57160, 51069, 50987, 51200, 50866, 72218, 51219, 51253, 58073, 61682, 64481, 51069, 50937, 51580, 50943, 51200, 50943, 58073, 53971, 53333, 58586, 60479, 51069, 50987, 51296, 50873, 51288, 51312, 58073, 55164, 60068, 50964, 50937, 51200, 51121, 51580, 50943, 53043, 50795, 55281, 51219, 59140, 54726, 58908, 50927, 50987, 51347, 50873, 54843, 50879, 51386, 50849, 51288, 50892, 55709, 50870, 51601, 51019, 51267, 51580, 51267, 51200, 51159, 51404, 51806, 63548, 50940, 51278, 51157, 52455, 65617, 60776, 63548, 76909, 50365, 51459, 61033, 51019, 51267, 51580, 51159, 51200, 51109, 51404, 51159, 51278, 59451, 51467, 58803, 59526, 50439, 50927, 50977, 51200, 51203, 56361, 51013, 51155, 51157, 52455, 62827, 59002, 50964, 51267, 51409, 50901, 51188, 54042, 51004, 50451, 51263, 50905, 54843, 50795, 51386, 58162, 51467, 59044, 51069, 51267, 51767, 51253, 51580, 51109, 51347, 51267, 56361, 50879, 51296, 51157, 59526, 51601, 54843, 51650, 51179, 60916, 51069, 50978, 51580, 51058, 51200, 51058, 51571, 50972, 53043, 51294, 51296, 57837, 50365, 51459, 61033, 51069, 50977, 51571, 51380, 51580, 51109, 51200, 51109, 51296, 51157, 72016, 58803, 51069, 56835, 51129, 50439, 51069, 50977, 51571, 51097, 51580, 50981, 51200, 50981, 51296, 51157, 52455, 62827, 59002, 51069, 56835, 51129, 50451, 50964, 50977, 51571, 51212, 51200, 51177, 51580, 51003, 53043, 50849, 51296, 54792, 51467, 59044, 50927, 50978, 51767, 50901, 51347, 50901, 53043, 50795, 51386, 56895, 50891, 51601, 51019, 51267, 51580, 51267, 51200, 51159, 51404, 51806, 63548, 50952, 51278, 51157, 52455, 60916, 63548, 71109, 50365, 51459, 61033, 51019, 51267, 51580, 51159, 51200, 51109, 51404, 51159, 51278, 59451, 51467, 58803, 59526, 50439, 50927, 50977, 51200, 51203, 56361, 50879, 51155, 51157, 52455, 62827, 59002, 50964, 51267, 51409, 50901, 51188, 50901, 54843, 51048, 59526, 50451, 51263, 50905, 51386, 58162, 51467, 59044, 51069, 51267, 51767, 51253, 51580, 51109, 51347, 51267, 53043, 51291, 51296, 51157, 59526, 51601, 52455, 60916, 51069, 50978, 51580, 51058, 51200, 51058, 51571, 50972, 51288, 50967, 51296, 57837, 50365, 51459, 61033, 51069, 50977, 51571, 51380, 51580, 51109, 51200, 51109, 51296, 51157, 72016, 58803, 51069, 50978, 51219, 52938, 50364, 51459, 62889, 51069, 50977, 51571, 51097, 51580, 50981, 51200, 50981, 51288, 51364, 51296, 51157, 52455, 62827, 59002, 51069, 56835, 51129, 50451, 50964, 50977, 51571, 51212, 51200, 51177, 51580, 51003, 53043, 50795, 51296, 54792, 54563, 62662, 50927, 50978, 51767, 50901, 51347, 50901, 54843, 50879, 51386, 50873, 51601, 51019, 51267, 51580, 51267, 51200, 51159, 51404, 51806, 63548, 50940, 51278, 51157, 52455, 60916, 63548, 76909, 50365, 51459, 61033, 51019, 51267, 51580, 51159, 51200, 51109, 51404, 51159, 51278, 59451, 51467, 58803, 59526, 50439, 50927, 50977, 51200, 51203, 56361, 51013, 51155, 51157, 52455, 62827, 59002, 50964, 51267, 51409, 50901, 51188, 54042, 51004, 50451, 51263, 50905, 54843, 50795, 51386, 58162, 51467, 59044, 51069, 51267, 51767, 51253, 51580, 51109, 51347, 51267, 56361, 50879 ]
[ 0, 250, 32625, 15855, 2125, 702, 15, 41, 21979, 8669, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 2877, 4, 20, 33301, 16, 3820, 19, 657, 8, 7125, 6, 25, 5, 40286, 211, 8, 83, 7230, 1328, 5, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 80054, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 71821, 51078, 52483, 63755, 52012, 50889, 51574, 55112, 74987, 50998, 52446, 51444, 50805, 52028, 50805, 71821, 71821, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 51076, 52446, 72429, 66309, 51444, 55480, 51131, 50805, 69604, 51034, 63755, 71888, 51311, 55385, 50998, 52483, 50960, 52605, 50986, 52446, 51311, 52815, 51131, 50805, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 71821, 51078, 52483, 63755, 52012, 50889, 51574, 55112, 74987, 50998, 52446, 51444, 50805, 52028, 50805, 71821, 71821, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 51076, 52446, 72429, 66309, 51444, 55480, 51131, 50805, 69604, 51034, 63755, 71888, 51311, 55385, 71821, 51076, 52483, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 51207, 50805, 51311, 50805, 63755, 51034, 66309, 51444, 50889, 52028, 55385, 51169, 52483, 66309, 51444, 50889, 52028, 55112, 51078, 52446, 67669, 51444, 50889, 52028, 55480, 71821, 76004, 50805, 52012, 50889, 51317, 55385, 52028, 52483, 51207, 50805, 52012, 50889, 51317, 55112, 51574, 52446, 51444, 50805, 52012, 50889, 50929, 55480, 53805, 50805, 51034, 69604, 51444, 50889, 51444, 55385, 69604, 51067, 52483, 66309, 51316, 50805, 51207, 55112, 63755, 51076, 52446, 69604, 66309, 51207, 55480, 67669, 63755, 51034, 69604, 74175, 51131, 64739, 69604, 50947, 52483, 67669, 50929, 52605, 71821, 51078, 52446, 52012, 50805, 74987, 67669, 51034, 66309, 51444, 50889, 52028, 55385, 51169, 52483, 66309, 51444, 50889, 52028, 55112, 51078, 52446, 67669, 51444, 50889, 52028, 55480, 71821, 76004, 50805, 52012, 50889, 51317, 55385, 52028, 52483, 51207, 50805, 52012, 50889, 51317, 55112, 51574, 52446, 51444, 50805, 52012, 50889, 50929, 55480, 53805, 50805, 64857, 50805, 69604, 51444, 55385, 52028, 50805, 51067, 52483, 51131, 50805, 66309, 51444, 55112, 71821, 51078, 52446, 67669, 63755, 52012, 50889, 51131, 55480, 74987, 67669, 51034, 71821, 71821, 51444, 55385, 51131, 50805, 51078, 52483, 52028, 50805, 71821, 51444, 55112, 51131, 50805, 50960, 52446, 51444, 50805, 52028, 50805, 71821, 80056, 50805, 52012, 50889, 53805, 55385, 51846, 52483, 51131, 50805, 52012, 50889, 53805, 55112, 51317, 52446, 67669, 52012, 50889, 53805, 55480, 63755, 64857, 50805, 51444, 50889, 51078, 55385, 53805, 52483, 51444, 50805, 51444, 50889, 51078, 55112, 52028, 52446, 51131, 50805, 51444, 50889, 51078, 55480, 71821, 51034, 67669, 63755, 52012, 55385, 51136, 50805, 51078, 52483, 67669, 63755, 52012, 55112, 74987, 50998, 52446, 51136, 50805, 69604, 52012, 55480, 51131, 50805, 71821, 51034, 74987, 52012, 50889, 50998, 55385, 51311, 52483, 51131, 52605, 51207, 52446, 52028, 52815, 51574, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 51169, 52483, 66309, 51444, 50889, 52028, 55112, 51078, 52446, 67669, 51444, 50889, 52028, 55480, 71821, 76004, 50805, 52012, 50889, 51317, 55385, 52028, 52483, 51207, 50805, 52012, 50889, 51317, 55112, 51574, 52446, 51444, 50805, 52012, 50889, 50929, 55480, 53805, 50805, 64857, 50805, 69604, 51444, 55385, 52028, 50805, 51067, 52483, 51131, 50805, 66309, 51444, 55112, 71821, 51078, 52446, 67669, 63755, 52012, 50889, 51131, 55480, 74987, 67669, 64857, 50889, 51444, 55385, 71821, 50960, 52483, 74987, 50998, 52605, 72429, 51078, 52446, 51311, 50805, 50929, 52815, 51131, 50805, 66309, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 71821, 51078, 52483, 63755, 52012, 50889, 51574, 55112, 74987, 50998, 52446, 69604, 51444, 50889, 52028, 50889, 50960, 55480, 71821, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 51076, 52446, 72429, 66309, 51444, 55480, 51131, 50805, 69604, 51034, 63755, 71888, 51311, 55385, 71821, 51076, 52483, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 51207, 50805, 51311, 50805, 63755, 51034, 51725, 51141, 51574, 51141, 51207, 51141, 50986, 51141, 50986, 51141, 50998, 51141, 50929, 51141, 51032, 70303, 51207, 50805, 50929, 52446, 51444, 50805, 50998, 52815, 51207, 50805, 63755, 51034, 50986, 67729, 51725, 50805, 51574, 52483, 51574, 50805, 51207, 55112, 51207, 50805, 50986, 52446, 72429, 50998, 52815, 67669, 63755, 51034, 67669, 63755, 51207, 51538, 57761, 50805, 50970, 52483, 74987, 50998, 52605, 71821, 50970, 52446, 51311, 50805, 50960, 52815, 71821, 67830, 51034, 72429, 67669, 51725, 51623, 57761, 50805, 50970, 52483, 67669, 50929, 52605, 67830, 50947, 52446, 67669, 63755, 51034, 51032, 51141, 51725, 51141, 51574, 51141, 51207, 51141, 50986, 51141, 50986, 51141, 50998 ]

[ 0, 250, 15352, 30054, 8, 14899, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 38668, 3038, 6, 21072, 6, 32017, 6, 3459, 8669, 6, 8, 9590, 4, 85, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 163, 538, 19, 10, 33215, 16739, 9, 163, 8, 274, 10431, 4, 20, 1349, 7630, 6568, 10, 2365, 8, 20425, 16464, 6, 442, 24, 10686, 13, 3618, 930, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 52365, 55916, 52365, 65533, 52365, 61732, 52365, 53109, 52365, 60417, 52365, 52641, 50801, 50950, 73980, 53376, 50608, 55578, 51123, 51532, 51464, 55710, 52786, 61452, 53740, 51123, 51361, 55710, 61452, 51123, 51556, 55710, 61452, 51123, 51658, 50950, 73980, 53376, 50608, 55578, 51123, 51572, 55710, 61452, 60466, 55842, 50854, 73980, 61452, 51123, 51618, 55710, 61452, 59038, 50801, 50950, 73980, 53376, 50608, 61452, 51123, 51647, 55710, 61452, 60004, 50903, 50833, 73980, 61452, 51123, 51621, 55710, 61452, 51123, 51755, 56429, 50971, 73980, 53376, 50608, 62483, 51123, 51402, 55710, 61452, 59895, 55842, 55742, 50971, 73980, 78830, 63172, 62791, 50816, 50971, 73980, 61452, 57252, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 57959, 50903, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 51658, 56429, 50971, 73980, 53376, 50608, 55237, 51123, 53525, 50971, 73980, 61452, 60466, 55842, 55742, 50971, 73980, 61452, 51123, 51618, 55710, 61452, 59038, 50801, 50950, 73980, 53376, 50608, 57427, 51123, 51647, 66260, 57649, 61452, 60004, 50903, 50833, 73980, 61452, 51123, 50458, 54535, 50930, 53206, 50971, 51715, 51826, 57649, 61452, 51123, 50460, 53346, 60634, 53210, 51227, 51755, 56429, 50971, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 62999, 50971, 73980, 61452, 59895, 55842, 55742, 50971, 73980, 78830, 56320, 62791, 54642, 53412, 50971, 73980, 61452, 51123, 50424, 53915, 61953, 53424, 63398, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 57959, 50903, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 51658, 56429, 50971, 73980, 53376, 50608, 55237, 51123, 51572, 55710, 61452, 60466, 55842, 50854, 54642, 50923, 73980, 61452, 51123, 51618, 55710, 61452, 59038, 55883, 51013, 52705, 51106, 50971, 73980, 53376, 50608, 62483, 51123, 54706, 50971, 73980, 61452, 60004, 50903, 55579, 50971, 73980, 61452, 51123, 53206, 50971, 73980, 61452, 51123, 50799, 53424, 50806, 52705, 51106, 50971, 73980, 53376, 50608, 62483, 51123, 62999, 50971, 73980, 61452, 59895, 55842, 50854, 55883, 54898, 50971, 73980, 78830, 64274, 51123, 50422, 53424, 54381, 50816, 50971, 73980, 61452, 51123, 50425, 53915, 52369, 50426, 52705, 51106, 50971, 73980, 53376, 50608, 62483, 51123, 67654, 50971, 73980, 61452, 57959, 50903, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 51658, 56429, 50971, 73980, 53376, 50608, 57427, 51123, 53525, 50971, 73980, 61452, 60466, 55842, 55742, 50971, 73980, 61452, 51123, 60309, 50971, 73980, 61452, 59038, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 51647, 66260, 57649, 61452, 60004, 50903, 50833, 73980, 61452, 51123, 51621, 66260, 57649, 61452, 51123, 50461, 54642, 51286, 51755, 50950, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 51402, 55710, 61452, 59895, 55842, 50854, 53915, 50962, 73980, 78830, 63172, 51123, 50422, 54642, 52801, 50816, 50971, 73980, 61452, 51123, 50425, 53210, 58595, 52705, 51106, 50971, 73980, 78830, 52346, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 51123, 50431, 61356, 52265, 51547, 50887, 51590, 50890, 52031, 69573, 55579, 50971, 73980, 61452, 63801, 61356, 52050, 50971, 73980, 61452, 58604, 61356, 54279, 56701, 55182, 50971, 73980, 53376, 50608, 57427, 51123, 50441, 61356, 54192, 50971, 73980, 61452, 60466, 51547, 50836, 51590, 50880, 52031, 50890, 61356, 50817, 55842, 55742, 50971, 73980, 61452, 65650, 61356, 52050, 50971, 73980, 61452, 59038, 50725, 50310, 56545, 56429, 50971, 73980, 53376, 50608, 57427, 79519, 61356, 52409, 50971, 73980, 61452, 60004, 51547, 50862, 51590, 50890, 52031, 71074, 55579, 50971, 73980, 61452, 72037, 61356, 52050, 50971, 73980, 61452, 51123, 50799, 61356, 53432, 56701, 55182, 50971, 73980, 53376, 50608, 57427, 51123, 50417, 61356, 54192, 50971, 73980, 61452, 59895, 51547, 50862, 51590, 50887, 52031, 50887, 61356, 50949, 55842, 55742, 50971, 73980, 78830, 56320, 62791, 61356, 52050, 50971, 73980, 61452, 57252, 61356, 53432, 56429, 50971, 73980, 78830, 52346, 50608, 57427, 67836, 61356, 52050, 50971, 73980, 61452, 57959, 51547, 50836, 51590, 50880, 52031, 67344, 55579, 50971, 73980, 61452, 63801, 61356, 50898, 55710, 61452, 58604, 61356, 53432, 56701, 50844, 73980, 53376, 50608, 57427, 51123, 50441, 61356, 50898, 55710, 61452, 60466, 51547, 50840, 51590, 50930, 52031, 50887, 61356, 50961, 55842, 50854, 73980, 61452, 65650, 61356, 50898, 55710, 61452, 59038, 62699, 51496, 52705, 51106, 50971, 73980, 53376, 50608, 57427, 51123, 54706, 50971, 51715, 51826, 57649, 61452, 60004, 51547, 50862, 51590, 50880, 52031, 67344, 55579, 50971, 73980, 61452, 51123, 53206, 50971, 51715, 51826, 57649, 61452, 51123, 51755, 56701, 55182, 50971, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 62999, 50971, 73980, 61452, 59895, 51547, 50840, 51590, 50880, 52031, 50890, 55842, 55742, 50971, 73980, 78830, 64274, 62791, 50816, 50971, 73980, 61452, 57252, 52705, 51106, 50971, 73980, 78830, 52346, 50608, 55578, 67836, 61356, 55720, 57162, 51464, 55710, 52786, 61452, 53740, 57959, 51366, 50890, 51674, 50930, 51590, 67854, 55579, 50971, 73980, 61452, 51123, 57177, 50971, 73980, 61452, 51123, 50437, 61356, 72064, 56701, 55182, 50971, 73980, 53376, 50608, 55578, 51123, 53525, 50971, 73980, 61452, 51123, 50443, 61356, 56059, 51366, 50887, 51674, 50962, 51934, 50811, 55842, 55742, 50971, 73980, 61452, 51123, 60309, 50971, 73980, 61452, 51123, 50449, 61453, 54554, 52705, 51106, 50971, 73980, 53376, 50608, 61452, 51123, 54706, 50971, 73980, 61452, 60004, 51547, 50880, 51408, 50887, 51934, 50930, 61356, 51021, 50903, 55579, 50971, 73980, 61452, 51123, 53206, 50971, 73980, 61452, 51123, 50799, 68612, 50860, 52705, 51002, 55182, 50971, 73980, 53376, 50608, 62483, 51123, 62999, 50971, 73980, 61452, 59895, 51547, 50890, 51408, 50811, 51934, 50930, 61453, 51021, 55842, 55742, 50971, 73980, 78830, 63172, 62791, 50816, 50971, 73980, 61452, 57252, 61356, 51072, 52705, 51106, 50971, 73980, 78830, 52346, 50608, 57427, 60789, 50597, 56789, 50816, 50971, 73980, 61452, 60789, 50597, 53998, 51547, 50887, 51590, 50890, 52031, 69573, 55579, 50971, 73980, 61452, 63801, 53257, 54327, 50971, 73980, 61452, 51123, 51658, 56701, 55182, 50971, 51715, 50792, 50597, 52523, 53376, 50608, 55237, 51123, 53525, 50971, 73980, 61452, 60466, 51547, 50836, 51590, 50880, 52031, 50890, 55842, 53597, 50597, 54327, 50971, 73980, 61452, 65650, 52365, 50864, 73980, 61452, 59038, 50801, 50950, 73980, 53376, 50608, 57427, 79519, 52365, 54327, 50971, 51715, 51826, 57649, 61452, 60004, 51547, 50862, 51590, 50890, 52031, 71074, 55579, 50971, 73980, 61452, 51123, 50458, 52365, 50864, 51621, 66260, 57649, 61452, 51123, 50799, 52365, 53617, 56701, 50844, 51715, 51826, 57649, 53376, 50608, 57427, 51123, 62999, 50971, 73980, 61452, 59895, 51547, 50862, 51590, 50887, 52031, 50887, 55842, 53597, 50596, 51833, 55710, 78830, 56320, 51123, 51510, 55710, 61452, 57252, 51205, 51388, 50801, 50950, 73980, 78830, 52346, 50608, 57427, 51123, 67654, 50971, 73980, 61452, 51123, 50431, 61356, 52265, 51547, 50836, 51590, 50880, 52031, 67344, 55579, 50971, 73980, 61452, 63801, 61356, 52050, 50971, 73980, 61452, 58604, 61356 ]

[ 0, 713, 17627, 17274, 3495, 2214, 11, 211, 538, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 2365, 9629, 4, 7219, 8, 21979, 29589, 6, 6168, 3540, 6, 21072, 6, 8, 3459, 13305, 283, 561, 11, 10, 15352, 30054, 8, 20425, 9804, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 33215, 16739, 9, 211, 6, 83, 6, 381, 6, 211, 401, 6, 8, 83, 3639, 7, 5, 2214, 18, 33928, 16464, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 50415, 50927, 67242, 51454, 51206, 52149, 51240, 51965, 50960, 51191, 51078, 51191, 50947, 51191, 50416, 53359, 50805, 52003, 50893, 52775, 52864, 51265, 50864, 51271, 53078, 75342, 51013, 50423, 53359, 50855, 52003, 50836, 52775, 50813, 51545, 67153, 52503, 51070, 55382, 69747, 51659, 50846, 51355, 50895, 50927, 65426, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 51922, 50429, 51195, 53911, 53359, 51100, 52003, 50805, 52775, 51100, 51545, 50828, 51271, 53934, 50807, 51240, 51333, 50913, 50915, 50435, 51070, 50943, 50437, 50929, 51191, 51067, 55965, 51771, 51141, 51195, 50883, 50927, 58484, 65030, 51013, 51076, 73700, 52003, 51189, 52427, 51189, 51250, 50883, 50953, 73136, 52018, 52586, 51013, 51240, 52397, 50913, 51003, 50447, 51250, 75073, 52503, 51070, 59731, 51780, 50809, 51630, 50890, 53145, 70979, 68391, 55113, 51196, 51068, 51336, 50843, 51013, 51270, 51922, 50456, 77071, 52018, 53934, 50807, 51240, 51432, 50913, 51003, 50459, 51250, 57462, 51013, 50461, 50960, 51189, 50947, 51189, 51078, 51191, 52288, 50923, 50953, 54279, 51090, 50843, 51013, 51240, 51637, 50420, 53359, 51255, 52003, 51124, 52775, 51124, 51265, 50904, 51271, 52493, 51013, 50913, 51003, 50423, 51545, 59719, 53678, 51070, 60823, 51195, 50841, 51659, 73472, 50887, 50927, 57169, 56946, 51356, 51068, 51336, 50843, 51013, 51236, 53486, 50429, 53359, 50867, 52003, 50867, 52775, 50886, 51195, 54216, 51545, 50841, 51271, 53708, 50807, 51240, 51333, 50913, 50914, 50435, 51070, 50807, 50437, 51317, 71380, 53359, 50846, 52003, 50818, 52775, 50828, 51195, 50883, 50927, 54279, 72760, 51013, 51131, 51191, 50998, 51191, 52012, 51059, 50439, 52126, 51111, 51816, 51060, 53464, 51100, 51355, 50883, 79861, 50947, 51381, 51316, 51381, 51292, 79002, 51381, 51316, 51381, 51292, 51381, 50444, 52657, 53934, 50807, 51240, 53280, 50913, 50943, 50447, 52126, 67029, 50855, 53464, 50862, 51355, 76399, 51432, 51070, 59731, 52459, 50809, 52395, 50887, 54010, 50887, 51011, 68391, 57623, 51196, 51068, 51336, 50843, 51013, 51270, 52503, 50453, 51383, 55490, 50456, 52126, 50829, 51816, 50829, 53464, 50867, 51659, 50890, 52657, 54726, 51013, 51236, 53577, 50913, 50943, 50459, 51350, 60228, 50807, 50461, 50960, 51191, 50799, 52126, 50884, 51816, 50883, 53464, 50895, 51011, 58484, 65030, 51013, 51240, 51965, 51078, 51191, 50947, 51191, 50415, 53359, 50879, 52775, 51173, 52003, 51192, 50927, 75832, 51265, 50891, 51271, 54726, 51013, 50913, 50914, 50423, 53359, 50862, 52003, 50855, 52775, 50867, 51545, 61391, 52988, 51070, 54243, 74900, 51659, 73472, 50884, 50927, 68391, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 52503, 50429, 51195, 53695, 53359, 51111, 52003, 51158, 52775, 51100, 51545, 50828, 51271, 54782, 52011, 50913, 75342, 62369, 51070, 55965, 51195, 50883, 50927, 58484, 65030, 51013, 50929, 51191, 51076, 51191, 51067, 73700, 52003, 51446, 51771, 51472, 52427, 51413, 51250, 50883, 50953, 73136, 52018, 53708, 50889, 51240, 52025, 50913, 51003, 50447, 51250, 50385, 52272, 52503, 51070, 59731, 51780, 50809, 51630, 50890, 53145, 70979, 68391, 55113, 51196, 51068, 51336, 50843, 51013, 51270, 52727, 50456, 51350, 50895, 52018, 53708, 50807, 51240, 51387, 50913, 50943, 50459, 51250, 58724, 50889, 50461, 50960, 51191, 51078, 51191, 52563, 51031, 50927, 65426, 51090, 50843, 51013, 51240, 52136, 50947, 70506, 53359, 51095, 52003, 51175, 52775, 51095, 51265, 50863, 51271, 52493, 50889, 50913, 50914, 50423, 51545, 56455, 52727, 51070, 52910, 51195, 50895, 51659, 50818, 51355, 50895, 50927, 68391, 56946, 51356, 51068, 51336, 50843, 51013, 51236, 52407, 50429, 53359, 50867, 52003, 50820, 52775, 50834, 51195, 53695, 51545, 50818, 51271, 53934, 50995, 51240, 51466, 50913, 50914, 50435, 51070, 50943, 50437, 51131, 51189, 51317, 51189, 50998, 71378, 53359, 50828, 52003, 50895, 52775, 50818, 51195, 50883, 50927, 50949, 51011, 65398, 72760, 51013, 52012, 51029, 50947, 51283, 51316, 51283, 51292, 51283, 50947, 51283, 50439, 52126, 50828, 51816, 50895, 53464, 50795, 51355, 50883, 51316, 51381, 51292, 51381, 50441, 52126, 50933, 51816, 64208, 52657, 53708, 50807, 51240, 53280, 50913, 51003, 50447, 52126, 50836, 51816, 50846, 53464, 50855, 51355, 55767, 53096, 51070, 59731, 52459, 50809, 52395, 50890, 54010, 77537, 68391, 57623, 51196, 51068, 51336, 50843, 51336, 51383, 51748, 50453, 52126, 58847, 52503, 50456, 52126, 50809, 51816, 50890, 53464, 50887, 51659, 50809, 52657, 52586, 51013, 51236, 53577, 50913, 50943, 50459, 51350, 57072, 50914, 50461, 50960, 51486, 50947, 51894, 50799, 52126, 50846, 51816, 50895, 53464, 50846, 51011, 50949, 50927, 65398, 51054, 51206, 52149, 51240, 51965, 51078, 51486, 61513, 56025, 53359, 50805, 52003, 51173, 52775, 51111, 50420, 51265, 50825, 51271, 53347, 51013, 50913, 51003, 61513, 51048, 50423, 53359, 50855, 52003, 50828, 52775, 50813, 51545, 67153, 52503, 51070, 55382, 69747, 51659, 50846, 51355, 50895, 50927, 51505, 50801, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 51922, 50429, 51195, 53911, 53359, 51103, 52003, 51077, 52775, 51103, 51545, 50828, 51271, 55399, 51333, 50913, 59098, 50807, 61616, 51077, 50435, 51070, 56389, 51195, 50883, 50927, 65426, 65030, 62682, 51271, 52586, 51013, 51240, 52397, 50913, 51003, 50447, 51195, 75073, 52503, 51070, 59731, 51659, 73472, 50890, 51630, 73117, 65426, 55113, 51196, 51068, 51336, 50843, 51013, 51270, 51922, 50456, 51545, 50855, 51271, 53934, 50807, 51240, 51432, 50913, 51003, 50459, 51195, 57462, 51013, 50461, 50929, 51894, 51076, 51894, 51067, 51486, 52288, 50949, 50953, 65398, 51090, 50843, 51013, 51240, 51637, 50719, 50303, 51346, 50420, 52003, 51255, 51771, 51124, 52427, 51124, 79527, 52018, 52493, 51013, 50913, 51003, 50423, 51350, 59719, 53678, 51070, 51013, 50425, 50719, 50303, 52483, 68540, 51780, 50809, 51630, 50887, 50953, 57169, 56946, 51356, 51068, 51336, 50843, 51013, 51236, 53486, 50429, 52003, 50867, 51771, 50867, 52427, 50886, 51250, 54216, 51350, 50841, 52018, 53708, 50807, 51240, 51333, 50913, 50914, 61513, 51623, 50435, 51070, 52424, 52003, 51111, 51771, 50967, 52427, 51110, 51250, 50883, 50953, 57169, 72760, 62682, 52018, 53934, 50807, 51240, 53280, 50913, 50943, 50447, 65688, 51771, 50855, 52427, 50862, 51250, 76399, 51432, 51070, 59731, 51780, 50809, 51630, 50887, 53145, 50887, 50953, 68391, 57623, 51196, 51068, 51336, 50843, 51013, 51270, 52503, 50453, 51383, 55490, 50456, 52003, 50829, 51771, 50829, 52427, 50867, 72708, 52018, 54726, 51013, 51236, 53577, 50913, 50943, 50459, 51195, 60228, 50807, 50799, 52003, 50884, 51771, 50880, 52427, 50895, 50953, 58484, 65030, 51013, 51240, 51965, 50960, 51191, 51078, 51191, 50947, 51191, 68847, 51116, 50415, 53359, 51158, 52775, 51173, 52003, 51192, 50927, 75832, 51265, 50891, 51271, 54726, 51013, 50913, 50914, 50423, 53359, 50862, 52003, 50855, 52775, 50867, 51545, 61391, 52988, 51070, 54243, 74900, 51659, 73472, 50884, 50927, 65426, 57623, 51551, 51068, 51336, 50843, 51013, 51236, 52503, 68847, 51116, 50429, 51195, 53695, 53359, 51111, 52003, 51158, 52775, 51100, 51545, 50828, 51271, 53708, 50807, 51240, 52011, 50913, 51003, 50435, 51070, 50914, 50437, 51067, 71380, 52427, 51413, 51195, 50883, 50927, 58484, 65030, 51013, 50929, 51191, 51076, 51191 ]

[ 0, 250, 15352, 30054, 3495, 657, 2214, 702, 9382, 15, 13305, 23, 10, 7212, 20889, 4, 85, 18, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 211, 406, 6, 272, 6, 230, 6, 8, 272, 31473, 10, 1472, 9, 11098, 8, 11926, 7, 42, 765, 1011, 625, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50438, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 59419, 57631, 55082, 74367, 51120, 51538, 51086, 51538, 50871, 51538, 52591, 50877, 52483, 50861, 53912, 50861, 76195, 51538, 51086, 51538, 50871, 51538, 63932, 50889, 57844, 50889, 53645, 59460, 51608, 50292, 51538, 51026, 51538, 57267, 68368, 66336, 50876, 50889, 53997, 55143, 51077, 50968, 51077, 51085, 51538, 56978, 52483, 50900, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 57267, 55082, 50931, 51141, 51026, 51538, 50899, 51538, 50973, 51538, 52591, 50968, 52483, 50902, 53912, 50968, 76195, 51538, 50900, 51538, 50861, 51538, 63932, 50889, 54960, 54243, 50902, 51608, 50297, 51077, 50899, 51538, 50871, 51538, 60496, 55082, 51026, 66154, 50889, 53997, 51077, 51026, 51077, 50916, 51077, 50876, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 59419, 57631, 55082, 74367, 51120, 51538, 51086, 51538, 50871, 51538, 52591, 50877, 52483, 50861, 53912, 50861, 76195, 51538, 51086, 51538, 50871, 51538, 63932, 50889, 57844, 50889, 53645, 59460, 51608, 50292, 51538, 51026, 51538, 57267, 68368, 66336, 50876, 50889, 53997, 55143, 51077, 50968, 51077, 51085, 51538, 56978, 52483, 50900, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 57267, 55082, 50931, 51141, 51026, 51538, 50899, 51538, 50973, 51538, 52591, 50968, 52483, 50902, 53912, 50968, 76195, 51538, 50900, 51538, 50861, 51538, 63932, 50889, 54960, 54243, 50902, 51608, 50297, 51077, 50899, 51538, 50871, 51538, 60496, 55082, 51026, 66154, 50889, 53997, 51077, 51026, 51077, 50916, 51077, 50876, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 59419, 57631, 55082, 74367, 51120, 51538, 51086, 51538, 50871, 51538, 52591, 50877, 52483, 50861, 53912, 50861, 76195, 51538, 51086, 51538, 50871, 51538, 63932, 50889, 57844, 50889, 53645, 59460, 51608, 50292, 51538, 51026, 51538, 57267, 68368, 66336, 50876, 50889, 53997, 55143, 51077, 50968, 51077, 51085, 51538, 56978, 52483, 50900, 61086, 50968, 65934, 55082, 51085, 61552, 51141, 50951, 51141, 51085, 51538, 50456, 61795, 53975, 51077, 58973, 59879, 52483, 50876, 66950, 53912, 51085, 55143, 51141, 50968, 51141, 51085, 51538, 50444, 51026, 52596, 50900, 51077, 50456, 50871, 58050, 50805, 55524, 58835, 54243, 50877, 58835, 51608, 50297, 51538, 50900, 51538, 57267, 66154, 55082, 50871, 59460, 50889, 53997, 60424, 51077, 79721, 51085, 51538, 56978, 52483, 50900, 51077, 57267, 55082, 50931, 51141, 51026, 51538, 50899, 51538, 50973, 51538, 52591, 50968, 52483, 50902, 53912, 50968, 76195, 51538, 50900, 51538, 50861, 51538, 63932, 50889, 54960, 54243, 50902, 51608, 50297, 51077, 50899, 51538, 50871, 51538, 60496, 55082, 51026, 66154, 50889, 58106, 51085, 51077, 51026, 51077, 50916, 51077, 50876, 51077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 32625, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 30062, 620, 7085, 12280, 642, 6, 15054, 17838, 6, 8, 6755, 12547, 35810, 561, 3366, 219, 34879, 6, 150, 5, 21072, 694, 10, 16634, 12989, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 41, 1614, 1073, 1020, 2877, 6, 4246, 10, 33215, 16739, 9, 274, 406, 6, 272, 119, 1176, 406, 6, 8, 211, 119, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 61791, 50415, 57545, 50984, 50418, 50697, 50339, 51123, 50421, 59886, 50984, 50424, 50697, 50339, 71874, 57545, 51123, 50430, 55802, 73632, 53647, 50984, 50436, 55554, 51123, 50439, 57545, 50984, 50442, 55554, 50984, 50445, 53647, 51022, 50448, 55554, 50984, 50451, 57545, 50984, 50454, 55802, 51123, 50457, 53647, 51123, 50460, 55554, 51123, 51601, 51357, 51008, 51093, 51244, 52143, 51183, 51301, 51080, 51182, 51314, 59861, 50857, 59449, 51123, 56770, 50912, 59623, 56127, 60131, 50864, 59800, 59539, 51306, 50418, 70563, 50886, 56737, 50941, 60849, 50984, 55845, 64370, 52445, 50419, 51154, 77946, 62796, 50941, 60849, 53665, 72592, 55228, 50886, 59613, 50904, 56770, 50912, 59449, 56897, 56016, 51357, 51008, 55039, 50827, 60187, 53665, 62184, 57215, 50912, 60849, 50912, 59623, 50837, 64869, 50368, 51024, 52917, 52566, 50827, 59800, 53864, 61033, 51304, 51142, 52697, 50933, 59623, 50886, 59613, 51123, 59449, 61605, 57265, 53748, 50933, 59800, 59539, 61938, 53118, 50933, 60849, 50907, 59449, 50825, 64869, 56897, 60741, 51357, 60675, 52650, 50933, 64869, 53665, 57004, 52890, 50851, 56770, 50907, 59613, 50867, 59449, 56897, 54487, 51093, 51051, 54029, 50959, 60187, 54493, 61385, 52566, 50822, 64869, 50984, 59623, 50864, 60849, 56897, 53219, 52697, 50941, 59800, 59295, 59764, 51357, 51174, 51093, 51642, 52143, 51145, 51301, 51080, 51182, 51148, 53260, 50910, 56770, 50984, 59623, 50867, 59449, 50368, 51024, 63239, 66977, 52697, 50827, 59800, 54493, 60547, 52566, 50959, 59449, 50886, 64869, 50907, 60849, 56897, 59808, 51093, 68288, 54029, 51142, 64869, 54493, 60822, 52890, 50851, 59449, 51123, 56770, 50912, 59613, 59539, 54284, 51357, 51142, 52650, 50933, 60187, 59295, 71483, 53118, 50822, 60849, 50984, 59623, 50829, 64869, 56897, 53166, 53748, 50941, 59800, 54493, 69232, 51093, 51709, 53472, 50874, 56770, 50984, 59623, 50941, 59449, 55484, 60491, 53715, 50827, 59800, 54493, 67827, 57215, 50851, 60849, 50984, 64869, 50907, 59449, 59539, 61733, 51357, 63234, 55039, 50912, 64869, 50904, 59613, 53612, 51129, 50457, 59861, 50864, 56737, 50912, 59449, 50984, 61891, 59295, 59506, 51093, 50959, 62796, 50886, 55845, 55942, 51693, 50460, 61534, 50829, 64869, 50984, 59800, 50864, 60849, 50368, 51024, 51693, 50799, 60131, 53665, 52445, 50415, 51357, 50978, 52143, 51047, 51301, 51080, 51093, 51244, 51182, 51244, 59861, 50813, 56770, 51022, 59449, 50984, 59623, 58671, 60131, 50864, 59800, 53864, 51306, 50418, 70563, 50864, 56737, 50837, 60849, 50907, 55845, 64370, 52611, 50419, 51154, 70304, 62796, 50886, 60849, 59295, 73768, 55228, 50827, 56770, 50984, 59613, 50835, 59449, 50368, 51024, 58574, 51357, 51008, 55039, 50851, 60187, 54493, 60548, 57215, 50827, 59623, 50835, 60849, 50912, 64869, 50368, 51024, 52966, 52566, 50904, 59800, 54493, 68713, 51304, 51051, 52697, 50874, 59613, 50907, 59449, 50984, 59623, 59220, 57265, 53748, 50851, 59800, 56162, 65973, 53118, 51142, 60849, 50984, 64869, 51123, 59449, 53665, 59277, 51357, 60675, 52650, 50959, 64869, 56162, 57004, 52890, 51051, 59613, 50867, 59449, 50984, 56770, 61605, 54606, 51093, 51008, 54029, 51051, 60187, 61212, 58024, 52566, 51051, 60849, 50907, 64869, 51022, 59623, 59220, 53219, 52697, 50827, 59800, 53612, 60032, 51357, 51058, 51093, 51642, 52143, 51183, 51301, 51314, 51182, 51244, 53260, 50925, 59449, 50907, 56770, 50907, 59623, 76300, 50932, 50856, 54129, 52697, 51051, 59800, 56162, 60547, 52566, 51051, 60849, 51123, 59449, 50825, 64869, 56897, 59808, 51093, 59791, 54029, 50874, 64869, 53612, 60822, 52890, 51142, 59449, 51022, 59613, 50864, 56770, 50368, 51024, 54284, 51357, 51051, 52650, 50959, 60187, 53612, 71483, 53118, 50959, 64869, 50984, 59623, 50825, 60849, 64370, 52805, 53748, 50851, 59800, 53612, 69232, 51093, 50932, 53472, 50912, 59449, 51022, 59623, 50835, 56770, 64370, 58207, 53715, 50933, 59800, 56162, 62476, 57215, 50822, 60849, 50984, 59449, 50941, 64869, 56897, 64360, 51357, 65628, 55039, 50864, 59613, 50837, 64869, 59295, 63367, 59861, 50827, 56737, 50984, 59449, 50912, 61891, 53665, 79440, 51093, 50933, 62796, 50864, 55845, 53665, 51306, 50460, 61534, 50835, 64869, 50984, 59800, 50867, 60849, 50368, 51024, 51258, 50799, 60131, 59295, 51306, 50415, 51154, 50933, 51088, 51314, 52776, 51047, 51165, 51080, 51107, 51244, 70164, 50855, 59800, 50912, 56770, 50912, 61891, 56127, 74415, 50864, 61878, 59220, 51258, 50418, 70563, 50864, 56737, 50829, 60849, 51123, 55845, 50368, 51024, 52445, 50419, 51154, 61378, 62796, 50904, 60849, 59220, 73768, 60131, 50904, 56770, 50984, 59800, 50837, 59800, 64370, 58574, 51154, 50933, 63950, 50851, 59449, 54493, 62184, 56456, 50851, 61891, 50829, 56737, 50984, 61891, 50368, 51024, 53098, 52566, 50864, 59800, 53665, 61033, 51304, 51058, 52697, 50874, 59449, 51123, 59613, 50907, 59470, 53665, 68364, 56265, 50851, 61878, 53665, 60286, 53715, 51008, 56737, 50984, 56770, 50886, 61891, 50368, 51024, 60741, 51154, 60675, 53472, 50959, 56737, 59220, 57107, 54969, 50827, 59800, 50864, 59800, 50912, 56770, 56897, 54606, 51088, 51008, 53118, 50874, 59449, 55942, 60631, 52650, 50933, 56737, 51123, 61891, 50867, 61891, 61605, 53219, 54757, 50867, 61878, 59220, 59764, 51154, 50959, 51088, 51642, 52776, 51145, 51165, 51244, 51107, 51314, 53267, 55766, 50326, 50867, 56770, 51123, 59800, 64370, 63239, 75576, 54757, 50959, 61878, 53864, 58408, 52650, 51051, 56737, 50907, 61891, 51123, 56770, 54493, 63610, 51088, 63236, 53118, 50874, 56737, 59220, 63693, 54969, 50827, 59800, 50971, 59800, 50822, 56770, 64370, 54284, 51154, 51008, 53472, 50851, 59449, 53665, 63612, 53715, 51008, 61891, 50825, 61891, 51123, 56737, 56897, 53430, 56265, 50864, 61878, 55942, 78878, 51088, 51709, 59862, 51008, 59800, 51123, 56770, 50907, 61891, 53612, 61362, 55228, 50912, 61878, 59295, 67827, 56456, 51008, 61891, 50984, 56770, 50886, 56737, 50368, 51024, 60570, 51154, 63234, 63950, 50874, 59800, 50863, 56737, 54493, 51129, 50457, 59861, 50864, 56737, 50984, 59449, 50912, 61891, 59539, 75661, 51088, 51051, 62796, 50904, 55845, 54493, 51258, 50460, 62796, 50863, 61878, 50886, 56737, 50984, 61891, 50368, 51024, 51258, 50799, 74415, 54493, 52445, 50415, 51154, 51142, 51088, 51148, 52776, 51145, 51165, 51148, 51107, 51314, 70164, 50813, 56770, 50907, 59800, 51123, 61891, 56572, 74415, 50829, 61878, 53665, 51258, 50418, 70563, 50867, 60849, 50912, 55845, 51123, 56737, 53665, 51306, 50419, 51154, 61378, 62796, 50867, 60849, 59295, 73768, 60131, 50827, 59800, 50867, 59800, 50984, 56770, 64370, 56016, 51154, 50959, 63950, 50874, 59449, 53864, 60548, 56456, 50912, 56737, 50912, 61891, 50835, 61891, 64370, 53098, 52566, 50864, 59800, 59220, 59619, 51304, 51008, 52697, 50874, 59470, 50886, 59613, 51022, 59449, 61605, 63369, 56265, 50874, 61878, 53612, 66434, 53715, 50851, 56770, 50835, 56737, 50907, 61891, 64370, 58734, 51154, 61957, 53472, 50827, 56737, 53665, 58803, 54969, 51008, 59800, 50867, 59800, 50912, 56770, 50368, 51024, 54665, 51088, 51051, 53118, 51008, 59449, 54493, 60631, 52650, 51008, 61891, 50928, 61891, 50827, 56737, 64370, 53442, 54757, 50886, 61878, 59220, 59901, 51154, 50933, 51088, 51309, 52776, 51183, 51165, 51148, 51107, 51080, 53267, 50897, 61891, 50837, 59800, 50984, 56770, 50369 ]

[ 0, 250, 15352, 30054, 8, 1372, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 21437, 10, 33215, 16739, 9, 230, 119, 6, 163, 428, 406, 73, 495, 6, 12608, 406, 6, 2060, 6, 8, 381, 12361, 11, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 50443, 50997, 52236, 50290, 62955, 50900, 54105, 51085, 54232, 51120, 67954, 50857, 51601, 51026, 61381, 60209, 50871, 65149, 51050, 50955, 50424, 50899, 50835, 51120, 50941, 53523, 50834, 51085, 52953, 50997, 50925, 51234, 51101, 50439, 53492, 57728, 50997, 51419, 51040, 59783, 52019, 50317, 50820, 68355, 50951, 58510, 50968, 66423, 78945, 53217, 50876, 59552, 50968, 58114, 61752, 55971, 57947, 51601, 71985, 50416, 51040, 79652, 60097, 50835, 50968, 64280, 50906, 53070, 50876, 58640, 50906, 63699, 51537, 50324, 69662, 73940, 79058, 58594, 51339, 50828, 51081, 50839, 52128, 54735, 51234, 50829, 51050, 79057, 60044, 51197, 72792, 63075, 51787, 60754, 50951, 51604, 50335, 72889, 63893, 50837, 50997, 55053, 50931, 50835, 51339, 59175, 51026, 64189, 50837, 51601, 51405, 66967, 56390, 51378, 50829, 50989, 58092, 50999, 56295, 50902, 50835, 51050, 50835, 51146, 62252, 52670, 51399, 55477, 51028, 64015, 50997, 54974, 50965, 63751, 50863, 50876, 50863, 51062, 79836, 62000, 51081, 53387, 50906, 50892, 71626, 61123, 50863, 50965, 74156, 52904, 50931, 65004, 50951, 51000, 50440, 51147, 55788, 51081, 52363, 50290, 58616, 50906, 61794, 51197, 72794, 52763, 51114, 50870, 51787, 66955, 50941, 50451, 51487, 64125, 50956, 63893, 50837, 50997, 62662, 50931, 50835, 51339, 57059, 51026, 63484, 57015, 51001, 50835, 51405, 50834, 51601, 50989, 50863, 51378, 67722, 50876, 79711, 62307, 51028, 50820, 51399, 52761, 50902, 57987, 51146, 50828, 51050, 63751, 53899, 51028, 50841, 51399, 52639, 50876, 80131, 79058, 50870, 50965, 71357, 59741, 50899, 74031, 50906, 71446, 54777, 50997, 77157, 50891, 50899, 75816, 63122, 50931, 52666, 50323, 55666, 51234, 50825, 51081, 51962, 50302, 56755, 50906, 55368, 51197, 74569, 59361, 50951, 52386, 50334, 57989, 51487, 74265, 63484, 52763, 50997, 61634, 50931, 50835, 51339, 50829, 51026, 53007, 50861, 55397, 51001, 50834, 51405, 58660, 51378, 50829, 50989, 50825, 52177, 50999, 61844, 50902, 50820, 51146, 50820, 51050, 53109, 50876, 50835, 51062, 58830, 50997, 74156, 63751, 60931, 50906, 50820, 51081, 56680, 50877, 51413, 50999, 51191, 50430, 51360, 66577, 57405, 51040, 62710, 63484, 59721, 51085, 76962, 57728, 51114, 76606, 63302, 50956, 50834, 51050, 67099, 50876, 62564, 51247, 67904, 51058, 50460, 60215, 50956, 50820, 51050, 50867, 51809, 60216, 50418, 50899, 50835, 51120, 58592, 78466, 74170, 50902, 72417, 51234, 79057, 68564, 51147, 67393, 51085, 76962, 71808, 57455, 50902, 63122, 51120, 60500, 66423, 69506, 50973, 74965, 50906, 50829, 51197, 50870, 50956, 59265, 51787, 64468, 57291, 51487, 72889, 60044, 50861, 50835, 50997, 56782, 50931, 50829, 51339, 50829, 51026, 57098, 50861, 62107, 51405, 75703, 54603, 50989, 50825, 51378, 64559, 58077, 51062, 50825, 58540, 50820, 51399, 56390, 51050, 72680, 50834, 51146, 62847, 53405, 51081, 50829, 52052, 57240, 50965, 50835, 50997, 71357, 50870, 51814, 50820, 50999, 57074, 51147, 51581, 50336, 50812, 50428, 51234, 60443, 52357, 56999, 51062, 57398, 50997, 62296, 59347, 61294, 50899, 60622, 51220, 50829, 53117, 57477, 51197, 72794, 50863, 52357, 50829, 51062, 53027, 53117, 50891, 51062, 50835, 52357, 70170, 57013, 50861, 50837, 50997, 57989, 51114, 50834, 51787, 71351, 54185, 51487, 50825, 51026, 63893, 60535, 51399, 64833, 50902, 74538, 55370, 50989, 50825, 51378, 59175, 51001, 50834, 51405, 58660, 50902, 71762, 62296, 50837, 52177, 51399, 50829, 51028, 59527, 50876, 79652, 72172, 61132, 51062, 63751, 58115, 50906, 79971, 50915, 50424, 51234, 60443, 50997, 64205, 50965, 63336, 79836, 57892, 65590, 50956, 55604, 51001, 50820, 51405, 58780, 51360, 50820, 51040, 74939, 50846, 51339, 57868, 51114, 50820, 51787, 50846, 51085, 76962, 61733, 50951, 50834, 51487, 50828, 51234, 79057, 56842, 50900, 50820, 51085, 50837, 51809, 51001, 56572, 51405, 62307, 50965, 70170, 63266, 50900, 66876, 50834, 51339, 59761, 51085, 50829, 51787, 66174, 75967, 50825, 51062, 58734, 51062, 50829, 51487, 50825, 51234, 78945, 50863, 50997, 57413, 51279, 74644, 58900, 50931, 63336, 50834, 51339, 68095, 74295, 59279, 51001, 50837, 51405, 60411, 51234, 64204, 50834, 51146, 55223, 51001, 64314, 51405, 57208, 50965, 79836, 50863, 51339, 50841, 50931, 57583, 50997, 63917, 51405, 51291, 50458, 51001, 51448, 50951, 51535, 50460, 51197, 72792, 50829, 52478, 51234, 79057, 59094, 51085, 76962, 59278, 51360, 50820, 51040, 56305, 51120, 70883, 54656, 50876, 50835, 51062, 60862, 50965, 79058, 50837, 51146, 69147, 50870, 50902, 55685, 51399, 78864, 59361, 51062, 50834, 51234, 66731, 66730, 51081, 69074, 59753, 50902, 50841, 51146, 50846, 50997, 50870, 50965, 60570, 50899, 58908, 50876, 51162, 51062, 50991, 50458, 51176, 50841, 50965, 50841, 51601, 50965, 63749, 51176, 56572, 50861, 50863, 51220, 50908, 51026, 54104, 50871, 50820, 51050, 56344, 50906, 56609, 50876, 50828, 51062, 50818, 51234, 50841, 50997, 56512, 50951, 56857, 51197, 59370, 50956, 67266, 50825, 51405, 52621, 51405, 50959, 50439, 51001, 52386, 50323, 56755, 50861, 73356, 59144, 50997, 57785, 51001, 65434, 51062, 51058, 50448, 51234, 79057, 57136, 51081, 65126, 50956, 66517, 75703, 78213, 50835, 50997, 58841, 65590, 50956, 50820, 52177, 51487, 50874, 50418, 51399, 68162, 51146, 75431, 51339, 68014, 51405, 50955, 50429, 51081, 67393, 51146, 50987, 50431, 50916, 50820, 51315, 54665, 51062, 61360, 51050, 50834, 51081, 64587, 59808, 50965, 79057, 55118, 51146, 61806, 50858, 51147, 50940, 50449, 50900, 54086, 51050, 58759, 51399, 50829, 51028, 58677, 51040, 50820, 51050, 53217, 50876, 50835, 51062, 57029, 50906, 50835, 51081, 59652, 51050, 61561, 50902, 67232, 71473, 50834, 51809, 51399, 50841, 51028, 59740, 50965, 64559, 80131, 63222, 50997, 74156, 60916, 66734, 78466, 50424, 51234, 79057, 56680, 50906, 50834, 51081, 60443, 51062, 50884, 50965, 62088, 50839, 50997, 74156, 58039, 64413, 50436, 51001, 50846, 51197, 50834, 51405, 50818, 50956, 58829, 51114, 50883, 51787, 50961, 50989, 59096, 51001, 74265, 51609, 50331, 54199, 51062, 70567, 50829, 57126, 50820, 51114, 50895, 51787, 80148, 50956, 52386, 50331, 50822, 51001, 52976, 51062, 67843, 56748, 51315, 67801, 79711, 59701, 51399, 55666, 51146, 50813, 51050, 58159, 50871, 59224, 51147, 71300, 62088, 50835, 50997, 50835, 51062, 57399, 51050, 73355, 74154, 50820, 51220, 63340, 51062, 64853, 51220, 76268, 73046, 50841, 51050, 50837, 51147, 50863, 51601, 51062, 51047, 51050, 62088, 51047, 50899, 64301, 51147, 51148, 50421, 51234, 56818, 50997, 64561, 51085, 68095, 56512, 51120, 69147, 62047, 51197, 72792, 52616, 50973, 50891, 51220, 63157, 51062, 60886, 50956, 62088, 79058, 63893, 50835, 51220, 51306, 50449, 50951, 75030, 51234, 64314, 51220, 62448, 64360, 51062, 63287, 64853, 50861, 73356, 59552, 50997, 57243, 51081, 50863, 51601, 51062, 60407, 50820, 51197, 65597, 50956, 56856, 51360, 50828, 51040, 50828, 51081, 58830, 51062, 50879, 50425, 50876, 50977, 50427, 51085, 76962, 60741, 51081, 64938, 50951, 70934, 50829, 51234, 50841, 50997, 57927, 51176, 50841, 51503, 58655, 78363, 51487, 50897, 50951, 51820, 50956, 66274, 57028, 50900, 60411, 51339, 54823, 51279, 50829, 68717, 51062, 50813, 51487, 50833, 51027, 57690, 51339, 55162, 51405, 64312, 74265, 64911, 63751, 59025, 51062, 50907, 54662, 55138, 51146, 66179 ]

[ 0, 250, 1144, 26016, 3495, 1619, 1011, 625, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 16634, 178, 5285, 20889, 4, 20, 13305, 8, 21979, 8669, 483, 5, 33301, 6, 7513, 30, 5, 32625, 23225, 9, 10, 6755, 12547, 6, 23338, 33518, 1264, 6, 8, 21979, 9590, 4, 20, 2125, 3905, 10, 33215, 16739, 9, 12608, 6, 2060, 6, 230, 10431, 6, 12608, 6, 8, 2060, 6, 2351, 10, 8728, 8, 32076, 5466, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 55858, 56884, 50839, 51868, 51226, 52540, 51194, 50415, 53805, 51043, 50420, 51396, 51212, 51317, 72626, 51846, 53726, 50426, 51017, 50873, 50970, 51192, 50427, 51317, 51423, 50432, 51868, 50859, 51396, 51101, 50433, 51846, 51884, 50438, 51868, 51472, 50872, 65762, 51121, 50970, 50887, 51078, 51255, 53805, 51645, 50444, 51396, 51277, 50445, 51846, 58961, 50450, 75333, 50970, 50887, 51078, 50849, 51317, 66913, 51017, 50845, 62200, 51846, 73363, 51078, 57661, 74584, 50461, 73886, 66790, 50829, 51868, 51362, 52540, 51481, 53805, 51277, 50699, 50348, 54270, 50420, 51396, 51101, 51317, 50905, 51846, 54298, 50426, 51017, 50892, 50970, 51192, 51317, 52063, 50432, 51868, 50859, 51396, 51121, 50433, 51846, 54691, 50438, 51868, 51661, 50872, 67319, 50901, 50970, 50841, 51078, 58648, 51396, 51363, 51846, 56120, 50450, 50872, 50901, 50970, 50887, 51078, 50849, 51317, 51212, 52316, 50859, 50452, 51638, 50925, 50455, 51794, 54418, 51017, 50866, 68902, 51846, 73363, 51078, 57326, 50970, 51235, 50461, 74870, 51794, 51077, 66790, 50839, 51868, 51294, 52540, 51242, 53805, 51328, 50420, 51396, 51121, 51317, 50845, 51846, 76349, 51017, 51101, 50970, 51173, 50427, 51317, 52063, 50432, 51868, 50890, 51396, 51177, 50433, 51846, 53010, 50438, 51868, 51364, 50872, 63093, 51121, 62787, 51078, 50967, 50439, 53805, 59837, 51396, 51233, 50445, 51846, 53010, 50449, 50970, 55268, 50872, 50805, 51078, 50873, 51317, 50901, 52316, 59682, 51638, 64848, 51794, 54353, 51017, 50878, 61398, 51846, 68571, 51078, 57661, 50970, 57614, 50856, 50870, 66790, 50825, 51868, 51977, 52540, 52015, 51396, 52015, 51017, 51742, 50872, 51680, 51317, 51241, 53805, 51411, 53599, 73911, 52840, 57748, 51850, 55632, 52678, 50938, 50441, 51850, 67424, 52527, 55416, 51850, 50940, 50460, 53037, 51977, 51755, 54528, 50908, 51868, 51661, 52759, 51264, 52540, 61121, 58541, 51141, 51125, 56792, 61009, 52115, 50804, 50834, 51176, 51110, 51125, 51111, 50992, 60391, 50914, 51396, 50805, 52540, 50889, 51768, 54499, 50895, 51040, 51095, 51396, 50889, 50992, 64071, 56632, 50804, 63740, 50846, 51176, 51141, 51125, 56792, 58541, 60391, 68233, 52540, 50938, 53550, 53790, 50863, 51522, 51472, 51040, 51157, 52540, 50807, 51396, 57679, 58541, 56792, 63468, 50795, 50970, 50930, 51078, 51030, 69332, 51191, 54141, 50829, 51396, 60391, 68931, 59863, 50807, 51125, 51048, 62787, 50445, 51078, 55590, 50970, 51008, 51955, 54131, 60125, 50839, 51040, 51159, 52540, 50914, 51396, 58541, 50849, 51078, 51138, 52316, 58639, 51638, 70566, 51176, 51121, 51794, 51754, 50804, 50837, 51125, 56792, 54891, 61121, 50805, 51396, 50917, 50970, 61688, 51078, 59342, 50970, 60870, 51078, 50857, 55669, 62497, 54109, 50825, 51868, 51364, 52759, 51264, 52540, 60391, 68876, 58541, 67064, 63468, 50865, 51794, 51103, 50415, 50970, 51108, 55207, 50834, 51176, 50967, 50992, 64071, 61009, 50938, 51017, 50917, 50421, 52540, 74978, 51850, 60910, 54131, 50846, 51040, 50967, 51396, 51141, 51017, 58541, 59863, 63468, 51736, 52943, 53661, 53735, 50891, 51176, 51446, 51125, 67064, 57858, 60391, 58926, 51971, 58291, 51850, 50967, 53550, 53735, 50825, 51868, 51362, 51040, 51346, 51017, 58541, 50805, 52540, 51077, 69332, 51141, 54141, 50834, 51396, 50889, 51017, 54891, 67064, 63468, 51798, 50903, 54131, 50846, 51040, 51100, 51125, 56792, 60391, 50805, 50452, 53037, 59574, 51261, 52935, 64979, 51522, 51442, 50300, 50925, 51396, 60391, 54891, 59863, 63468, 61393, 51850, 70132, 52527, 50910, 55669, 53617, 50837, 51705, 51661, 51966, 51991, 51506, 51157, 51037, 51077, 51017, 50983, 63138, 69155, 50416, 52840, 51013, 55207, 50835, 50997, 51178, 50939, 63914, 50807, 51768, 54131, 50828, 51040, 51095, 51506, 60023, 51736, 50804, 60628, 50828, 50997, 50833, 51506, 60391, 63914, 55599, 66900, 51317, 66859, 51078, 50978, 50436, 50997, 51191, 50437, 51064, 53415, 50804, 53669, 50837, 51868, 51336, 51040, 51221, 51506, 51623, 51037, 50889, 51017, 58228, 60771, 50865, 51076, 50910, 50439, 50989, 51003, 54141, 64203, 58228, 57679, 50889, 51064, 65835, 51040, 51095, 79401, 51638, 50940, 51955, 54131, 50846, 51037, 50889, 50944, 55599, 64751, 51076, 51210, 51794, 50940, 50455, 50997, 51177, 51064, 51033, 51426, 51754, 77015, 50870, 50944, 60771, 57679, 51141, 50461, 51966, 51945, 53148, 51148, 51755, 53802, 58015, 50820, 51705, 51661, 51037, 57898, 60771, 50865, 51064, 50943, 55207, 74941, 51121, 50939, 58228, 56592, 50889, 51506, 51159, 50425, 51040, 70006, 52678, 66261, 54131, 75706, 63914, 60771, 58983, 52678, 62941, 50997, 54216, 64979, 51506, 68155, 60391, 58228, 55599, 53505, 50997, 51141, 50436, 52678, 51566, 50437, 51040, 51346, 53550, 53735, 50863, 51705, 52195, 51506, 60391, 63914, 55599, 72858, 50989, 51218, 54141, 50863, 50939, 58228, 57679, 50805, 51506, 51204, 50447, 51850, 53153, 52527, 53543, 60369, 50841, 51040, 51095, 51037, 61121, 55599, 58228, 59132, 51850, 54581, 50908, 50997, 50917, 51037, 50910, 67832, 50944, 56808, 50800, 51755, 53802, 50835, 51522, 51285, 51503, 51945, 63364, 50979, 59863, 59192, 76586, 51756, 51896, 55207, 50870, 50900, 51110, 50909, 59863, 62872, 50805, 51396, 50917, 51302, 60369, 72792, 51100, 51396, 58310, 62872, 59863, 59092, 50805, 52316, 57421, 50804, 62669, 71807, 51218, 51396, 57954, 62872, 59863, 50805, 56696, 50437, 50956, 51159, 51638, 50889, 51658, 53802, 50825, 51560, 51472, 50965, 51003, 51396, 60798, 50889, 50979, 59863, 59092, 50865, 54141, 50837, 56696, 50992, 50889, 50979, 72360, 51426, 51003, 51955, 54131, 74557, 70170, 51121, 51396, 57954, 62872, 59092, 79930, 50900, 55670, 50801, 54839, 50863, 56696, 50992, 57132, 57954, 68876, 50938, 50461, 51299, 51141, 55669, 68256, 53971, 50837, 51522, 51472, 51503, 51353, 51396, 62872, 59863, 59192, 50865, 50699, 50348, 55597, 55207, 66174, 51095, 56696, 50979, 59243, 61009, 56800, 52678, 58971, 63035, 50841, 50956, 51111, 51396, 61122, 59863, 54180, 59092, 51736, 52527, 53661, 50891, 50900, 50855, 51396, 58310, 62872, 59863, 50805, 56696, 51638, 51177, 50435, 50900, 51218, 50436, 51850, 51030, 50437, 50956, 51162, 52316, 51337, 53550, 54390, 50863, 51522, 51343, 50965, 51189, 51396, 51413, 50979, 51141, 50992, 59192, 64142, 52527, 51215, 54141, 50837, 56696, 50992, 69451, 51794, 54356, 51850, 71074, 54131, 50846, 50956, 51110, 50992, 50805, 56696, 50452, 52527, 54139, 52840, 50800, 51299, 78877, 51638, 57939, 52527, 54416, 75821, 50910, 56740, 61735, 50992, 55175, 57747, 51850, 51204, 55669, 53617, 50837, 51868, 51661, 52759, 51991, 52540, 51189, 51396, 51077, 51017, 57045, 59243, 64071, 50865, 52316, 51145, 55207, 50837, 51176, 51110, 50992, 64071, 58541, 60391, 50917, 51768, 53966, 50841, 51040, 64368, 68931, 59863, 63468, 57356, 50804, 70365, 50841, 51176, 50910, 51125, 56792, 54891, 68233, 52540, 50938, 50437, 51176, 51204, 50970, 50859, 51078, 50893, 51658, 54839, 50837, 51522, 51472, 51040, 51124, 52540, 50983, 51017, 51141, 50872, 59863, 64071, 61187, 50871, 51351, 51396, 51048, 54141, 73359, 56792, 54891, 50849, 50970, 58579, 52316, 53562, 51889, 59281, 54131, 50828, 51040, 51100, 51396, 50914, 50872, 59863, 64071, 50849, 50970, 73059, 51078, 50924, 51638, 50959, 50455, 51176, 52955, 50801, 54839, 50863, 52540, 61121, 58541, 59863, 63468, 50873, 78564 ]

[ 0, 250, 765, 15855, 2125, 19, 10, 11602, 9, 3495, 6, 4246, 10, 5540, 13305, 4, 20, 6711, 16, 25306, 8, 3722, 6, 19, 10, 2842, 9, 15073, 8, 9884, 4, 85, 18, 278, 11, 230, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 12447, 1001, 20889, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 61683, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50796, 52591, 50900, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50906, 51492, 51001, 51492, 50796, 52591, 50876, 51492, 51050, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50796, 52591, 50861, 51492, 51001, 51492, 50796, 52591, 51360, 51492, 51040, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50931, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 51085, 51492, 50997, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50906, 51492, 51001, 51492, 50951, 51492, 50444, 51062, 50918, 52591, 51001, 56027, 50931, 50918, 52591, 50861, 51492, 51247, 51492, 51050, 51492, 50900, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 51147, 51492, 50796, 52591, 50965, 51492, 50796, 52591, 51040, 51492, 51040, 51492, 51040, 51492, 50861, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 50900, 51492, 50900, 51492, 50900, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50906, 51492, 51001, 51492, 50444, 51062, 50918, 52591, 51001, 56027, 50931, 50918, 52591, 50965, 51492, 50876, 51492, 51050, 51492, 51050, 51492, 51050, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50796, 52591, 51001, 51036, 50951, 79190, 51492, 52591, 50906, 64806, 56027, 50876, 50918, 51001, 50918, 52591, 51040, 51492, 51040, 51492, 51040, 51492, 50861, 51492, 50965, 51492, 50965, 51492, 50965, 51492, 50931, 51492, 50931, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 50997, 51492, 50997, 51492, 50997, 51492, 50861, 51492, 50861, 51492, 50861, 51492, 50965, 51492, 50906, 51492, 51001, 51492, 50951, 51492, 50444, 51062, 50918, 52591, 51001, 50918, 50931, 78140, 50931, 50918, 52591, 50861, 51492, 51050, 51492, 50900, 51492, 50871, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50876, 51492, 51147, 51492, 51050, 51492, 51050, 51492, 50796, 52591, 50951, 51036, 52591, 50906, 56027, 50876, 50918, 52591, 51040, 51492, 50965, 51492, 50931, 51492, 50871, 51492, 50444, 51405, 50918, 52591, 51147, 56027, 51081, 50918, 52591, 50900, 51492, 50861, 51492, 51001, 51492, 50444, 51062, 50918, 52591, 51001, 56027, 50931, 50918, 52591, 51050, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 50796, 50796, 50796, 52591, 51040, 51492, 50965, 51492, 50931, 51492, 50871, 51492, 50444, 53919, 51060, 52591, 52128, 51918, 52052, 50795, 52591, 50900, 51492, 50861, 51492, 51001, 51492, 50444, 52357, 50865, 52591, 51405, 55700, 51339, 50795, 52591, 51050, 51492, 50871, 51492, 50871, 51492, 50876, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 20902, 8, 14899, 3495, 5175, 1349, 14, 22750, 1626, 11098, 8, 1313, 1007, 4, 27901, 41, 3459, 13305, 6, 2382, 3459, 8669, 6, 8, 21979, 9590, 6, 42, 8787, 2125, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 22848, 10, 16331, 33215, 16739, 9, 230, 8, 272, 119, 1176, 406, 6, 1271, 7, 63, 33558, 8, 2365, 619, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50796, 53028, 50862, 51570, 50862, 53028, 50862, 51544, 50862, 51570, 50862, 52320, 50862, 50796, 50796, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 50799, 55516, 50838, 62747, 54177, 53362, 50838, 51616, 52688, 52114, 70218, 53052, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56350, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 56109, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 50838, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 51243, 51899, 53754, 53754, 50839, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50801, 54996, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 71324, 54996, 50862, 51216, 51177, 50455, 51261, 55345, 50843, 50862, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 50843, 50862, 51140, 50840, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862, 51140, 51628, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62726, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 51771, 50932, 52427, 50932, 51959, 50932, 51020, 50932, 51208, 50932, 51092, 62093, 54996, 50862, 51140, 50857, 51899, 54996, 50862, 51140, 53920, 51890, 50838, 51816, 50838, 51959, 72295, 73742, 50838, 51092, 55468, 50862, 51140, 50840, 50799, 51890, 51243, 51816, 51243, 51959, 51243, 51061, 51243, 51023, 51243, 51092, 69094, 54996, 50862, 51140, 50887, 52399, 50862, 51140, 50809, 51694, 54996, 50862, 51140, 51628, 50843, 50862, 51140, 50833, 51658, 54996, 50862, 51140, 52597, 50843, 50862, 51140, 50809, 51899, 54996, 50862, 51216, 51177, 50455, 51261, 55345, 50843, 50862, 50799, 55516, 50838, 62747, 55056, 54996, 50862, 51140, 55777, 53362, 50838, 51616, 55468, 50862, 51140, 52329, 52114, 70218, 55974, 54996, 50862 ]

[ 0, 250, 748, 1879, 15525, 15855, 2125, 19, 3495, 16882, 6, 4246, 10, 13305, 7513, 30, 10, 6755, 12547, 9, 24896, 6, 21711, 102, 6, 8, 3551, 139, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 7630, 6568, 10, 1186, 9, 8597, 31, 2933, 8, 9066, 7, 1372, 8, 15352, 30054, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4391, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 59626, 52552, 51399, 51109, 51430, 51109, 51034, 51399, 51109, 51430, 51109, 51279, 51397, 51027, 51397, 61104, 72155, 51109, 50999, 51109, 51399, 61148, 51040, 72155, 51109, 51220, 51109, 51146, 51109, 51034, 51399, 51109, 51430, 51109, 51315, 51452, 53337, 72155, 51109, 51146, 51109, 51787, 51109, 55898, 72155, 51109, 51430, 51109, 52128, 51109, 51034, 51787, 51109, 51814, 51109, 51027, 51452, 61104, 72155, 51109, 51430, 51109, 52128, 61148, 51040, 72155, 51109, 51146, 51109, 51787, 51109, 51034, 51315, 51397, 51027, 51397, 51399, 51397, 51430, 51397, 50444, 51176, 61650, 51665, 50329, 51665, 50332, 50866, 77575, 72155, 51109, 51399, 51109, 51430, 51109, 62795, 72155, 51109, 51220, 51109, 51146, 61148, 51027, 51109, 51040, 51109, 50999, 51109, 51399, 51109, 51034, 51147, 51109, 51220, 51109, 51315, 51452, 57025, 72155, 51109, 50999, 51109, 51399, 61148, 51176, 72155, 51109, 51220, 51109, 51146, 51109, 80055, 51109, 51146, 51109, 51787, 66038, 51315, 51134, 51086, 51134, 51399, 51134, 51430, 73779, 51197, 51665, 50303, 51665, 50327, 51665, 50331, 50866, 68866, 51109, 51146, 51109, 51787, 66038, 51120, 51109, 51176, 51109, 51399, 51109, 51430, 61148, 51120, 51109, 51176, 51109, 50999, 51109, 51399, 51109, 51034, 50968, 51109, 51430, 51109, 51027, 51397, 56440, 54278, 51040, 78054, 51109, 51399, 51109, 64185, 54014, 51086, 60582, 51109, 51146, 51109, 55989, 50866, 51034, 50968, 51109, 51430, 51109, 51027, 51397, 56440, 50866, 53337, 51665, 50322, 51109, 51787, 51109, 64185, 54014, 51315, 51665, 50324, 51109, 52128, 75115, 51086, 50866, 51034, 50999, 51109, 51814, 51109, 51315, 51397, 61104, 72155, 51109, 51147, 51109, 52128, 61148, 51040, 72155, 51109, 51114, 51109, 51787, 51109, 51034, 51315, 51109, 51040, 51109, 50968, 51109, 51430, 66038, 51315, 51109, 51040, 61148, 51315, 51109, 51176, 51109, 51147, 51109, 51146, 51109, 51034, 51315, 51109, 51027, 51109, 50999, 51109, 51399, 66038, 51315, 51109, 51086, 51109, 51814, 51109, 55898, 72155, 51109, 52128, 51109, 51034, 51220, 51109, 51315, 51397, 70562, 51109, 51086, 51109, 51787, 61148, 51378, 68323, 51109, 51430, 51109, 51034, 50973, 51109, 51147, 51109, 51315, 51397, 53337, 72155, 51109, 50968, 51134, 51399, 67082, 51176, 68323, 75115, 50902, 51665, 50327, 50866, 51057, 51028, 51109, 50999, 51109, 51279, 51397, 51027, 51397, 50426, 51028, 51109, 50999, 51109, 51034, 53771, 51806, 51279, 52783, 51027, 52783, 50426, 55343, 51961, 50916, 51806, 50877, 51806, 51028, 51806, 59419, 51806, 51028, 51806, 50968, 51806, 50444, 53077, 51254, 51034, 53771, 52454, 50296, 52783, 50426, 55602, 51806, 50916, 51806, 50902, 51806, 50968, 51806, 50438, 56853, 51806, 50916, 51806, 50902, 51806, 50968, 51806, 51034, 54985, 51806, 51279, 52783, 51027, 52783, 50426, 56853, 51961, 50916, 51806, 50902, 51806, 50968, 51806, 59419, 51806, 50902, 51806, 50968, 51806, 50444, 55602, 51254, 51034, 53771, 52263, 50916, 51806, 51028, 51806, 50968, 51806, 51279, 52783, 51027, 52783, 56207, 51254, 64185, 70448, 51028, 51254, 67964, 51254, 51034, 53771, 51380, 52113, 51380, 52491, 51380, 57065, 75501, 51380, 50973, 51380, 50968, 51380, 51315, 52015, 50426, 53077, 51380, 51633, 51380, 52228, 51380, 55910, 75501, 51380, 50965, 51380, 50968, 74048, 55343, 51380, 52226, 51380, 53580, 51380, 59441, 75501, 51380, 50877, 51380, 50968, 51380, 51034, 56213, 51380, 52135, 51380, 54727, 51380, 60985, 51380, 50965, 51380, 50902, 51380, 51315, 52015, 50426, 55343, 51380, 52226, 51380, 53580, 51380, 59441, 51380, 51040, 51380, 50877, 74048, 53077, 51380, 51633, 51380, 52228, 51380, 55910, 75501, 51380, 50973, 51380, 51034, 55602, 51380, 53179, 51380, 52891, 51380, 60827, 75501, 51380, 50973, 51380, 50902, 51380, 51315, 52015, 50426, 53771, 51542, 52113, 51542, 52491, 51542, 57065, 51542, 50916, 51380, 51028, 51380, 50968, 51380, 57019, 51380, 50973, 51380, 51001, 51380, 50444, 53777, 51058, 52200, 51058, 52608, 51058, 59378, 51058, 51034, 55602, 51380, 53179, 51380, 52891, 51380, 60827, 75501, 51380, 50973, 51380, 50902, 51380, 51279, 52015, 51027, 52015, 50426, 53771, 51380, 52113, 51380, 52491, 51380, 57065, 75501, 51380, 50965, 74048, 55343, 51380, 52226, 51380, 53580, 51380, 59441, 75501, 51380, 50877, 51380, 51034, 53771, 51380, 51027, 52015, 50426, 53077, 51380, 51028, 51380, 50968, 74048, 55343, 51380, 51028, 51380, 50968, 51380, 51034, 53771, 51380, 51315, 52015, 50426, 55602, 51380, 50965, 51380, 50902, 51380, 50968, 74048, 53771, 51380, 50965, 51380, 50902, 51380, 50968, 51380, 51034, 53777, 51380, 50973, 51380, 51378, 51749, 51086, 51749, 50426, 55343, 51380, 51028, 51380, 50968, 74048, 56213, 51380, 51378, 51380, 51086, 51380, 50902, 51380, 50968, 51380, 51034, 53771, 51749, 51176, 51749, 51086, 51749, 50973, 51749, 50968, 51749, 50438, 56213, 51380, 51315, 51380, 50973, 51380, 50968, 51380, 51034, 56853, 51134, 54061, 51134, 52656, 51134, 62366, 51134, 71931, 50973, 51109, 50968, 51109, 51315, 51134, 62144, 51109, 50973, 51109, 50968, 69558, 54985, 50866, 53128, 50866, 52172, 50866, 57683, 51665, 50296, 54014, 56853, 51109, 54061, 51109, 52656, 51109, 62366, 51109, 51315, 51109, 71931, 50973, 51109, 50968, 51109, 51034, 55602, 51109, 53179, 51109, 52891, 51109, 60827, 51109, 51324, 51109, 50989, 51109, 50973, 51109, 51001, 66038, 55343, 51109, 52226, 51109, 53580, 51109, 59441, 51109, 51324, 51109, 50989, 51109, 50973, 51109, 51001, 61148, 53777, 51109, 52200, 51109, 52608, 51109, 59378, 51109, 51324, 51109, 50989, 51109, 50973, 51109, 51001, 51109, 51034, 53771, 51452, 52113, 51452, 52491, 51452, 57065, 51452, 51315, 51452, 50965, 51452, 50973, 51452, 50968, 51452, 51034, 53771, 51109, 52113, 51109, 52491, 51109, 57065, 51109, 51315, 51109, 71931, 50973, 51109, 50968, 61148, 53771, 51109, 51315, 72155, 68721, 51109, 51034, 53771, 68721, 51665, 50289, 51397, 51027, 51397, 50420, 51028, 54278, 54812, 51134, 50968, 53961, 50999, 54014, 50968, 51665, 50289, 51109, 51027, 75115, 55343, 78054, 50866, 51034, 53771, 68721, 51665, 50289, 51109, 67855, 54278, 54812, 51134, 51028, 51665, 50296, 51109, 51027, 69558, 50999, 54014, 50968, 51665, 50296, 51109, 51027, 75115, 55343, 78054, 50866, 51034, 53771, 68721, 51665, 50289, 51397, 51027, 51397, 67855, 54278, 54985, 51109, 51028, 53961, 50968, 54014, 55343, 51109, 51028, 51665, 50296, 51109, 51027, 51109, 51040, 75115, 50968, 50866, 51034, 53771, 51397, 51315, 51397, 50916, 51397, 50877, 51397, 51028, 51397, 50438, 53771, 51109, 51034, 53771, 72155, 51665, 50296, 51109, 51176, 51109, 50420, 50973, 54278, 53077, 51109, 50902, 51665, 50296, 51109, 51086, 69558, 50968, 54014, 56213, 51109, 50902, 51665, 50296, 51109, 51086, 68323, 75115, 50973, 50866, 51034, 57147, 51109, 50965, 51665, 50296, 51109, 67855, 54278, 56213, 51109, 50902, 51665, 50296, 51109, 51176, 51109, 51086, 69558, 50968, 54014, 53077, 51109, 50902, 51665, 50296, 51109, 51176, 51109, 51086, 75115, 50973, 50866, 51034, 55602, 51109, 50902, 51665, 50296, 51109, 67855, 54278, 53771, 51134, 51028, 51665, 50296, 51109, 51027, 51109, 51040, 69558, 50968, 54014, 50973, 51665, 50296, 51109, 51086, 68323, 75115, 53077, 69215, 50866, 51034, 55343, 51109, 51027, 51397, 51040, 51397, 50877, 51397, 51028, 51397, 50968, 51397 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 11926, 6, 4246, 10, 13305, 6, 930, 2233, 6, 8, 38668, 22052, 4, 20, 2125, 16, 11, 274, 538, 6, 34, 10, 7212, 20889, 9, 7694, 741, 1685, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 1918, 6, 272, 37152, 6, 274, 119, 1176, 406, 6, 8, 163, 119, 406, 428, 245, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50796, 66513, 50915, 57118, 50981, 50417, 51687, 57933, 51719, 50915, 50423, 51249, 55382, 51457, 50915, 59584, 50981, 50429, 51980, 57173, 52948, 50915, 50435, 52287, 54975, 54310, 50915, 69575, 77052, 56822, 51397, 50444, 59969, 51115, 50447, 64746, 69204, 50655, 50342, 51203, 50661, 50354, 51363, 50459, 50624, 51303, 50810, 57118, 50844, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 79311, 53075, 66527, 51410, 57173, 52932, 50845, 50661, 50338, 53913, 52287, 50845, 51687, 51047, 65489, 51047, 66076, 55200, 51981, 50845, 51249, 51115, 64495, 54058, 51825, 50845, 52109, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 50799, 51457, 50845, 51410, 50915, 51303, 50915, 51249, 50915, 51327, 50915, 61372, 50915, 59584, 55041, 51457, 50845, 59584, 53770, 51476, 50915, 51687, 50915, 51231, 50915, 51414, 50915, 51457, 51047, 57054, 50915, 59584, 64488, 52303, 51047, 51410, 51047, 51303, 51047, 51249, 51047, 64724, 69600, 51303, 50915, 57118, 50981, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 79311, 53075, 66527, 51410, 57173, 51981, 50845, 64495, 53913, 51825, 50845, 51687, 50915, 51231, 50915, 52326, 51047, 55500, 51047, 64258, 55200, 51980, 50845, 69255, 54058, 51457, 50845, 51476, 50915, 51719, 50915, 59584, 54771, 51327, 50845, 58997, 50892, 72412, 50915, 51231, 51047, 51414, 51047, 55464, 50915, 61532, 67568, 51410, 55382, 53075, 50915, 55825, 57173, 51410, 54975, 51457, 50845, 54369, 50915, 51231, 50915, 67348, 50915, 59584, 55200, 51327, 50845, 58997, 54058, 51327, 51203, 56139, 50915, 51719, 50915, 65489, 50915, 58997, 51363, 50459, 51303, 50810, 57118, 50844, 74149, 50915, 55285, 51047, 64724, 51047, 61532, 50981, 50418, 52326, 51397, 50422, 51303, 72038, 51249, 50845, 56318, 54100, 51414, 50845, 61532, 53913, 51249, 50915, 51327, 50915, 53248, 51047, 51687, 51047, 57054, 51047, 58997, 57105, 51414, 50845, 56139, 50915, 51719, 50915, 61532, 54771, 51327, 50845, 58997, 50892, 50799, 51457, 50915, 53655, 51047, 61372, 51047, 59584, 50981, 50418, 52326, 51397, 50422, 51303, 72038, 51825, 50845, 64258, 54100, 51981, 50845, 64495, 53913, 52287, 51115, 54369, 51047, 67348, 51047, 66076, 51310, 50444, 51410, 50845, 51231, 70703, 52102, 57414, 51981, 50845, 64495, 50892, 50799, 52948, 50915, 53655, 51047, 61372, 51047, 71908, 60115, 52326, 66527, 51719, 50915, 52948, 50915, 71908, 56692, 53001, 50845, 56139, 51047, 65489, 51047, 50661, 50336, 55200, 52948, 50845, 52303, 51115, 71908, 54058, 51825, 50845, 51719, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 50799, 52109, 50915, 51825, 50915, 56397, 51047, 67791, 51047, 64258, 60115, 54872, 66527, 52109, 50845, 63810, 54100, 51980, 50845, 69255, 53913, 51825, 50845, 51476, 50915, 51231, 50915, 51414, 50915, 57054, 51047, 64258, 55200, 51980, 50845, 69255, 54058, 52109, 50820, 51249, 50810, 52303, 50845, 51465, 50845, 63810, 57399, 51457, 51043, 59584, 51233, 50453, 51231, 52863, 51410, 50845, 51687, 50845, 51719, 59097, 51457, 50820, 59584, 56842, 51327, 50820, 58997, 50834, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 51310, 50418, 53075, 51397, 50422, 51410, 72038, 51303, 57173, 52932, 50845, 50661, 50338, 53913, 52287, 50845, 56139, 51047, 65489, 51047, 66076, 55200, 51981, 50845, 52303, 51115, 64495, 54058, 51825, 50845, 51231, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 50799, 51457, 50845, 51410, 50915, 51303, 50915, 51249, 50915, 51327, 50915, 61372, 50915, 59584, 55041, 51457, 50845, 59584, 53770, 51414, 50845, 51476, 50915, 51687, 50915, 51231, 50915, 51457, 51452, 57054, 50915, 59584, 51742, 50432, 51249, 53264, 52303, 50915, 51410, 50915, 51303, 50915, 51249, 50915, 64724, 55247, 51410, 50915, 51687, 50915, 51249, 50915, 66451, 57414, 51303, 50845, 57118, 50892, 74149, 51115, 55285, 51047, 64724, 51047, 61532, 79311, 52326, 66527, 51410, 57173, 51825, 50820, 64258, 58685, 52948, 50820, 71908, 56512, 51981, 50878, 64495, 59577, 51825, 50845, 52326, 50915, 51687, 50915, 51231, 50915, 75154, 50915, 64258, 55200, 51980, 50845, 69255, 54058, 51457, 51203, 51476, 50915, 51719, 50915, 61372, 50915, 59584, 51363, 50459, 51327, 50810, 58997, 50844, 72412, 50915, 51414, 50915, 63995, 50915, 61532, 60115, 51231, 50845, 51410, 55382, 51457, 50845, 53075, 50915, 51231, 50915, 66451, 50915, 59584, 54100, 51327, 50845, 51410, 50915, 58997, 53913, 51327, 50845, 54369, 50915, 51231, 50915, 67348, 50915, 58997, 55200, 51414, 50845, 61532, 54058, 51414, 51203, 56139, 50915, 51719, 50915, 65489, 50915, 61532, 51363, 50453, 52102, 52863, 51476, 59097, 51303, 50810, 57118, 50844, 74149, 50915, 53655, 51047, 61372, 51047, 61532, 50981, 50418, 52326, 51397, 50422, 51303, 72038, 51249, 50845, 56318, 54100, 51414, 50845, 61532, 53913, 51249, 50915, 51327, 50915, 53248, 51047, 51687, 51047, 57054, 51047, 58997, 57105, 51414, 50845, 56139, 50915, 51719, 50915, 61532, 54771, 51327, 50845, 58997, 50892, 50799, 51457, 50915, 53655, 51047, 64724, 51047, 59584, 60115, 52326, 66527, 51825, 50845, 64258, 54100, 51981, 50845, 64495, 53913, 52287, 50915, 54369, 51047, 67348, 51047, 66076, 59242, 51410, 53562, 52932, 50845, 52102, 50915, 50661, 50338, 54771, 51981, 50845, 64495, 50892, 50799, 51825, 50845, 53655, 51047, 61372, 51047, 64258, 55041, 52326, 50845, 51414, 50845, 61532, 53770, 51465, 50820, 51981, 50845, 52571, 50915, 64495, 74168, 51303, 69558, 51651, 50845, 51825, 50845, 64258, 53913, 51476, 50845, 51414, 50845, 57054, 50845, 61532, 55200, 51410, 50845, 51687, 50845, 51231, 50845, 61372, 50845, 55076, 54058, 52102, 50845, 51414, 50845, 67791, 50845, 61532, 54771, 51476, 50845, 51249, 50845, 57054, 50845, 56318, 50892, 61323, 50915, 51410, 50915, 51303, 50915, 51414, 51115, 61532, 79311, 55285, 51452, 64724, 72270, 51410, 72816, 51231, 50915, 55076, 59242, 51825, 50845, 64258, 54058, 51414, 50813, 61532, 66056, 51327, 50813, 58997, 61192, 51414, 50813, 61532, 54199, 51249, 50810, 56318, 56569, 51414, 50810, 61532, 50844, 50799, 53075, 51115, 53001, 51714, 66451, 51115, 50661, 50336, 52071, 50420, 51476, 66527, 51687, 57173, 54872, 51452, 74636, 51452, 50438, 51231, 50845, 51410, 63897, 51719, 53562, 51303, 65421, 51981, 50810, 64495, 54194, 51825, 50810, 64258, 56569, 51980, 50810, 69255, 50844, 72412, 51047, 51825, 51047, 63995, 51047, 64258, 67568, 52303, 66527, 51410, 57173, 51303, 53264, 52303, 51047, 51465, 51047, 57054, 63897, 51651, 53562, 51414, 50813, 51231, 50915, 61532, 66056, 51327, 50813, 58997, 61192, 51414, 50813, 61532, 54199, 51249, 50810, 56318, 56569, 51414, 50810, 61532, 50844, 50799, 53001, 51115, 53075, 51047, 66451, 51047, 50661, 50336, 79311, 51476, 66527, 51687, 57173, 52932, 50845, 50661, 50338, 53913, 53001, 50845, 51231, 50915, 54872, 51047, 51410, 51047, 64724, 51047, 50661, 50336, 55200, 51981, 50845, 64495, 54058, 51825, 50845, 51719, 50915, 64258, 54771, 51980, 50845, 69255, 50892, 72412, 51047, 51825, 51714, 76669, 51047, 64258, 52071, 50420, 51410, 66527, 51231, 57173, 51414, 53264, 51303, 51047, 51231, 51047, 51457, 51047, 65489, 51047, 50456, 52948, 50845, 71908, 50892, 50799, 52948, 51452, 56139, 51151, 65489, 51047, 71908, 51742, 50420, 52303, 51714, 50426, 51687, 51422, 50432, 52109, 53264, 51327, 51047, 74636, 63897, 51825, 50845, 64258 ]

[ 0, 250, 765, 37903, 9, 25771, 5175, 930, 19, 10, 980, 219, 8, 5679, 26709, 2369, 18795, 6, 4246, 38668, 22052, 816, 10, 881, 230, 33215, 11, 230, 3694, 6, 278, 7, 10, 1769, 204, 73, 306, 20889, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 50448, 55014, 52024, 55931, 52121, 53511, 51717, 59327, 52122, 75695, 59610, 52821, 50447, 50702, 50273, 54217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 2125, 19, 4785, 9, 1365, 6288, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 18569, 6, 6755, 12547, 6, 21979, 8669, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 8787, 15229, 11498, 10, 38451, 3938, 20889, 1328, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 50415, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50423, 51299, 51411, 69816, 50427, 51154, 51310, 51113, 51310, 50872, 51073, 50434, 51299, 51411, 50850, 61148, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50446, 51299, 51411, 50850, 66039, 51154, 50981, 51113, 50981, 50872, 51073, 50458, 51299, 50955, 61302, 50461, 53749, 51541, 51887, 51541, 50885, 51047, 50799, 51887, 51294, 50421, 51299, 51411, 69816, 50425, 51154, 51310, 51113, 51310, 50872, 51073, 50433, 51299, 51411, 69816, 50437, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 63897, 51299, 51411, 69816, 50448, 51154, 50981, 51113, 50981, 50872, 51073, 50456, 51299, 50955, 61302, 50460, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 53069, 51299, 51411, 69816, 50423, 51154, 51310, 51113, 51310, 50872, 51073, 50431, 51299, 51411, 69816, 50435, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50443, 51299, 51411, 69816, 50447, 51154, 50981, 51113, 50981, 50872, 51073, 50454, 51299, 50955, 61302, 50458, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 51809, 55841, 58297, 59320, 73354, 51153, 50824, 51299, 51411, 69816, 50422, 51154, 51310, 51113, 51310, 50872, 51073, 50428, 58498, 51029, 50429, 57571, 51029, 51299, 51411, 69816, 50430, 51435, 51029, 50433, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50441, 51299, 51411, 69816, 50445, 51154, 50981, 51113, 50981, 50872, 51073, 50446, 59767, 61443, 56917, 73422, 51516, 67413, 58525, 51300, 50452, 56775, 51300, 50453, 51578, 51300, 51299, 50955, 50850, 58325, 51887, 51294, 50457, 53749, 51541, 51887, 51541, 50885, 51047, 51809, 51299, 51411, 69816, 50420, 51154, 51310, 51113, 51310, 50872, 69555, 58525, 51407, 50427, 56775, 51407, 50428, 51578, 51407, 51299, 51411, 50850, 69558, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50439, 51299, 51411, 69816, 50443, 51154, 50981, 51113, 50981, 50872, 51073, 50451, 51299, 50955, 61302, 50455, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50461, 58525, 51066, 50799, 56775, 51066, 51299, 51411, 69816, 50415, 51578, 51066, 50418, 51154, 51310, 51113, 51310, 50419, 50872, 69555, 56775, 51072, 58525, 51072, 51299, 51411, 69816, 50427, 51578, 51072, 50430, 52241, 51362, 51887, 51391, 52143, 51362, 75714, 50436, 68478, 51072, 50437, 58828, 65031, 51948, 51072, 51299, 51411, 78757, 50442, 51154, 50892, 51113, 57076, 50879, 50448, 59767, 51300, 51299, 50987, 51301, 50987, 50868, 64202, 50924, 66738, 50449, 56917, 51300, 51699, 50955, 50868, 56060, 51516, 51300, 50453, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50461, 51699, 51411, 69014, 52177, 51299, 51310, 51301, 51310, 50885, 51073, 50423, 59767, 51407, 50424, 56917, 51407, 51699, 51411, 69014, 50425, 51516, 51407, 50428, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51047, 50436, 51699, 51411, 69014, 50440, 51299, 50981, 51301, 50981, 50885, 51073, 50448, 51699, 50955, 59227, 50452, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50459, 51699, 51411, 69014, 51601, 51299, 51310, 51301, 51310, 50885, 51073, 50421, 59320, 50975, 55841, 73129, 51153, 74377, 51699, 51411, 69014, 50427, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51047, 50428, 59767, 67270, 56917, 50993, 50430, 51516, 50993, 50434, 51699, 51411, 69014, 50436, 58525, 50993, 50437, 56775, 61445, 51578, 50993, 51299, 50981, 51301, 50981, 50885, 51073, 50444, 68478, 51300, 50445, 58828, 51300, 50446, 51948, 51300, 51699, 50955, 50868, 56060, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50457, 69014, 50458, 51699, 51411, 50461, 51299, 51310, 51301, 51310, 50885, 51073, 52591, 68478, 51352, 50421, 58828, 51352, 51699, 51411, 69014, 50422, 51948, 51352, 50425, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51047, 50433, 51699, 51411, 69014, 50437, 51299, 50981, 51301, 50981, 50885, 51073, 50444, 51699, 50955, 59227, 50448, 52241, 51541, 52143, 51294, 52143, 51541, 50988, 51047, 50455, 68478, 61828, 58828, 50993, 51699, 51411, 69014, 50457, 51948, 50993, 50460, 51299, 51310, 51301, 51310, 50885, 51073, 52478, 68478, 50824, 50419, 58828, 50824, 51699, 51411, 69014, 50420, 51948, 64381, 51598, 51362, 52143, 51391, 52776, 51362, 50988, 51397, 50430, 65702, 51072, 50431, 55841, 51072, 51699, 51411, 69014, 50432, 51837, 51072, 50435, 51299, 51233, 51301, 51233, 50885, 51215, 50441, 58525, 51300, 50442, 56775, 51300, 50443, 51578, 51300, 51699, 50834, 51299, 50955, 79250, 50868, 58875, 50878, 50872, 65554, 54803, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50454, 51299, 51411, 69816, 50458, 51154, 51310, 51113, 51310, 50872, 51073, 51809, 58525, 51352, 50417, 56775, 51352, 50418, 51578, 51352, 51299, 51411, 69816, 50422, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51047, 50429, 51299, 51411, 69816, 50433, 51154, 50981, 51113, 50981, 50872, 51073, 50441, 51299, 50955, 61302, 50445, 53749, 51541, 51887, 51294, 51887, 51541, 50885, 51047, 50452, 58525, 71935, 56775, 50993, 51299, 51411, 69816, 50454, 51578, 61828, 50872, 51073, 50457, 51154, 51310, 51113, 51310, 51601, 58525, 50824, 50416, 56775, 50824, 51299, 51411, 69816, 50417, 51578, 54226, 52241, 51362, 51887, 51391, 52143, 51362, 50885, 51397, 50427, 68478, 51066, 50428, 58828, 51066, 51299, 51411, 69816, 50429, 51948, 63284, 51154, 51411, 51113, 51411, 50872, 51345, 50438, 65702, 51300, 50439, 55841, 51300, 51299, 50844, 55119, 50440, 51837, 51300, 50442, 51883, 50834, 51251, 50834, 51154, 60660, 66307, 73615, 58780, 52607, 51541, 52371, 51294, 52371, 51541, 50946, 51047, 50451, 51883, 51411, 79934, 50455, 51251, 51310, 51154, 51310, 50848, 51073, 50461, 55841, 51352, 65702, 51352, 50799, 51837, 51352, 50415, 51883, 51411, 79934, 50418, 51875, 51362, 52371, 51391, 53215, 51362, 50946, 62479, 51883, 51411, 79934, 50430, 51251, 50981, 51154, 50981, 50848, 69052, 51883, 50955, 61232, 50442, 52607, 51541, 52371, 51294, 52371, 51541, 50946, 51047, 50449, 55841, 50993, 65702, 50993, 51883, 51411, 50944, 66039, 51837, 71935, 51251, 51310, 51491, 51310, 50885, 51073, 50460, 65702, 73300, 55841, 50824, 51883, 51411, 50944, 51109, 50799, 51837, 58297, 51875, 51362, 52371, 51391, 53215, 51362, 50946, 51047, 50423, 50745, 50330, 51066, 50424, 56913, 51066, 51883, 51411, 50944, 51109, 50425, 52353, 51066, 50428, 51251, 51312, 51491, 51312, 50885, 51073, 50435, 65702, 51029, 50436, 55841, 51029, 51883, 50955, 50944, 61868, 51837, 80261, 50939, 62047, 53973, 51541, 51251, 50834, 51088, 50834, 51165, 50834, 51699, 51294, 51699, 51541, 50848, 51047, 50448, 51251, 51411, 50939, 51109, 50452, 51088, 51310, 51165, 51310, 50847, 51073, 50453, 68478, 67897, 58828, 60646, 51948, 58691, 50745, 50330, 51407, 50458, 56913, 51407, 50459, 52353, 51407, 51251, 51411, 50939, 51109, 51601, 52607, 51362, 51699, 51391, 52371, 51362, 50848, 51047, 50423, 51251, 51411, 50939, 51109, 50427, 51088, 50981, 51165, 50981, 50847, 51073, 50434, 51251, 50955, 50939, 55467, 53973, 51541, 51699, 51294, 51699, 51541, 50848, 51047, 50445, 50745, 50330, 51072, 50446, 56913, 51072, 51251, 51411, 50939, 51109, 50447, 52353, 63758, 51088, 51310, 51165, 51310, 50847, 51073, 50456, 65702, 50824, 50457, 55841, 79263, 51837, 50824, 51251, 51411, 50939 ]

[ 0, 4688, 14899, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 41, 21979, 9590, 6, 3459, 8669, 6, 20535, 483, 6, 13305, 6, 8, 21072, 4, 20, 2125, 16, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15900, 163, 5683, 4, 20, 16331, 33215, 16739, 9, 211, 6, 3676, 6, 230, 6, 211, 6, 8, 3676, 17992, 7, 5, 1349, 18, 33928, 6, 20425, 6, 8, 33558, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50796, 50796, 72965, 54438, 54611, 51068, 50862, 52389, 50942, 51068, 53031, 51068, 50862, 51450, 62450, 54394, 51068, 53938, 50798, 58738, 54232, 51068, 50862, 54389, 51006, 51355, 54438, 53330, 50904, 50415, 51206, 62227, 51355, 50904, 51842, 50420, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 55181, 55946, 51355, 55181, 53901, 51216, 51254, 51536, 55759, 50942, 53884, 74052, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50837, 51355, 55181, 56000, 51250, 54220, 53894, 51216, 51174, 51355, 54438, 53330, 61173, 51355, 51833, 53027, 53240, 50904, 51249, 50825, 51327, 50834, 51818, 69691, 55181, 56112, 51216, 50904, 52395, 54220, 53938, 50798, 53340, 60554, 51216, 50941, 52395, 50864, 71223, 53240, 51174, 51249, 50864, 51327, 50829, 51818, 51750, 50862, 51621, 50862, 53202, 51006, 51355, 54897, 53330, 62399, 51355, 50904, 51842, 50420, 51793, 51174, 51303, 50864, 51249, 50864, 51327, 50904, 51355, 55181, 55946, 51355, 54220, 53901, 51140, 51006, 51536, 55759, 50942, 53884, 74052, 51793, 51174, 51303, 50886, 51249, 50864, 51327, 50827, 51355, 55181, 56000, 51250, 55181, 53894, 51098, 51006, 51355, 54897, 53330, 61173, 51355, 50904, 76552, 52078, 50904, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 55181, 56112, 51098, 50864, 51630, 55181, 53938, 50798, 53340, 60554, 51098, 50864, 51630, 50851, 71223, 52078, 51174, 51231, 50886, 51672, 50874, 51457, 54225, 50862, 51621, 50862, 54389, 51006, 51355, 54438, 53330, 62399, 51355, 50904, 51842, 50420, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50864, 51355, 55181, 55946, 51355, 55181, 53901, 51216, 51174, 51536, 55759, 50942, 53884, 74052, 53240, 51174, 51249, 50904, 51327, 50867, 51818, 50864, 51355, 55181, 56000, 51250, 54220, 53894, 51216, 51254, 51355, 54438, 53330, 61173, 51355, 51833, 53027, 53240, 50864, 51249, 50864, 51327, 50867, 51818, 50864, 51355, 55181, 56112, 51216, 50941, 52395, 54220, 53938, 50798, 53340, 60554, 51216, 50941, 52395, 50864, 71223, 53240, 51006, 51249, 50864, 51327, 50867, 51818, 55316, 50862, 51621, 50862, 53202, 51006, 51355, 54897, 53330, 62399, 51355, 50904, 51842, 50420, 51793, 51254, 51303, 50886, 51249, 50864, 51327, 50904, 51355, 55181, 55946, 51355, 54220, 53901, 51140, 51058, 51536, 55759, 50942, 53884, 74052, 51793, 51174, 51303, 50886, 51249, 50886, 51327, 69691, 55181, 56000, 51250, 55181, 53894, 51098, 51006, 51355, 54897, 53330, 61173, 51355, 50904, 76552, 52078, 50904, 51231, 50864, 51672, 50904, 51457, 50904, 51355, 55181, 56112, 51098, 50864, 51630, 55181, 53938, 50798, 53340, 60554, 51098, 50864, 51630, 50851, 71223, 52078, 51006, 51231, 50886, 51672, 50874, 51457, 54225, 50862, 51621, 50862, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 57559, 51355, 54317, 53986, 51043, 51216, 51254, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50837, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51174, 51355, 54438, 62079, 51355, 53114, 51793, 50904, 51303, 50886, 51249, 50825, 51327, 50834, 51355, 57291, 51140, 50904, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51174, 51303, 50835, 51249, 50864, 51327, 50829, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51174, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51006, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50864, 51457, 50827, 51355, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57291, 51098, 50864, 51630, 54915, 50798, 58186, 51098, 50864, 51630, 54622, 52078, 51174, 51231, 50886, 51672, 50874, 51457, 50827, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50864, 51355, 57559, 51355, 54317, 53986, 51233, 51216, 51174, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50867, 51818, 50864, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51254, 51355, 54438, 62079, 51355, 53114, 51793, 50864, 51303, 50864, 51249, 50864, 51327, 50867, 51355, 57291, 51140, 50941, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51006, 51303, 50886, 51249, 50864, 51327, 50867, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51254, 51231, 50886, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51058, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50886, 51457, 69691, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50904, 51457, 50904, 51355, 54284, 51098, 50864, 51630, 54915, 50798, 58186, 51098, 50864, 51630, 54622, 52078, 51006, 51231, 50886, 51672, 50874, 51457, 50827, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 57559, 51355, 54317, 53986, 51043, 51216, 51254, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50837, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51174, 51355, 54438, 62079, 51355, 53114, 51793, 50904, 51303, 50886, 51249, 50825, 51327, 50834, 51355, 57291, 51140, 50904, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51174, 51303, 50835, 51249, 50864, 51327, 50829, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51174, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51006, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50864, 51457, 50827, 51355, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50864, 51457, 50904, 51355, 57291, 51098, 50864, 51630, 54915, 50798, 58186, 51098, 50864, 51630, 54622, 52078, 51174, 51231, 50886, 51672, 50874, 51457, 50827, 50799, 53138, 51337, 51216, 51006, 51355, 54438, 60685, 51355, 55772, 53240, 51174, 51249, 50904, 51327, 50835, 51818, 50864, 51355, 57559, 51355, 54317, 53986, 51233, 51216, 51174, 51536, 55759, 59517, 53240, 51174, 51249, 50904, 51327, 50867, 51818, 50864, 51355, 57869, 51250, 53945, 53789, 51411, 51140, 51254, 51355, 54438, 62079, 51355, 53114, 51793, 50864, 51303, 50864, 51249, 50864, 51327, 50867, 51355, 57291, 51140, 50941, 52395, 53996, 50798, 58186, 51140, 50941, 52395, 54232, 51793, 51006, 51303, 50886, 51249, 50864, 51327, 50867, 53458, 51006, 51355, 54897, 60685, 51355, 55772, 52078, 51254, 51231, 50886, 51672, 50864, 51457, 50904, 51355, 57559, 51355, 53272, 51098, 51058, 51536, 55759, 59517, 52078, 51174, 51231, 50886, 51672, 50886, 51457, 69691, 57869, 51250, 54728, 51098, 51006, 51355, 54897, 62079, 51355, 55368, 52078, 50904, 51231, 50864, 51672, 50904, 51457, 50904, 62325, 69691, 57291, 51098, 50864, 51630, 54915, 66840, 58695, 58186, 51098, 50864, 51630, 54622, 52078, 51006, 51231, 50886, 51672, 50874, 51457, 50827, 76862, 51142, 54389, 51006, 62325, 50810, 51355, 54438, 53330, 59105, 50971, 50415, 51206, 62227, 51355, 55181, 52497, 53420, 53240, 51174, 51249, 50837, 51327, 50835, 51818, 50904, 51355, 50904, 59208, 56133, 62325, 69691, 50904, 59208, 53383, 51216, 51254, 51536, 55759, 57990, 50933, 54958, 50996, 50971, 51532, 52497, 53575 ]

[ 0, 250, 3152, 2214, 19, 10, 7212, 20889, 6, 42, 20425, 8, 15352, 30054, 15229, 16, 278, 11, 5, 762, 9, 83, 3694, 8, 1575, 10, 195, 73, 306, 86, 6543, 4, 11281, 25654, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 15352, 30054, 7, 4339, 283, 561, 7, 1045, 10, 6878, 2369, 14, 17172, 3423, 9, 11098, 8, 15073, 4, 20, 33215, 16739, 9, 274, 10431, 119, 406, 6, 163, 6, 274, 10431, 119, 406, 6, 272, 401, 6, 8, 230, 401, 3639, 7, 63, 13363, 28191, 2868, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56355, 50630, 53867, 55573, 53867, 55081, 53867, 54935, 53867, 59184, 53867, 55092, 53867, 54400, 53867, 53798, 53867, 54178, 53867, 50823, 50462, 53867, 50823, 50468, 53867, 50840, 50471, 53867, 50811, 56355, 53867, 55573, 53867, 55081, 53867, 54935, 53867, 59184, 53867, 55092, 53867, 54400, 53867, 53798, 53867, 54178, 53867, 50823, 50462, 53867, 50823, 50468, 53867, 50840, 50471, 53867, 50811, 56355, 51720, 50823, 51854, 53898, 51854, 53898, 54338, 53898, 54338, 53898, 50804, 52885, 52302, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 65440, 53885, 51720, 52865, 66155, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 51670, 50895, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 52529, 53898, 52529, 53898, 56513, 53898, 56513, 53898, 50804, 71791, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 52279, 51135, 53885, 51720, 52865, 66155, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 51670, 50895, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 51849, 51685, 51849, 51685, 54111, 51685, 54111, 51685, 50804, 71791, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 52279, 59252, 51720, 50823, 51529, 51685, 51529, 51685, 53964, 51685, 53964, 51685, 61394, 53595, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 51670, 50895, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 51344, 53898, 51344, 53898, 52341, 53898, 52341, 53898, 50804, 71791, 51415, 51670, 53578, 51720, 52865, 61580, 51720, 52865, 51636, 50435, 51720, 52865, 72940, 51415, 65440, 53885, 51720, 52865, 66155, 51720, 52865, 55843, 51720, 52865, 51636, 50462, 51720, 52865, 51636, 50468, 51415, 52279, 50895, 50470, 50804, 50817, 50471, 51415, 52279, 50895, 50472, 50804, 50817, 56355, 51720, 50823, 51854, 53898, 51854, 53898, 54338, 53898, 54338, 53898, 50798, 52885, 52302, 51415, 51670, 53578, 51720, 52865, 52885, 54396, 51720, 52865, 53498, 56356, 51720, 52865, 51663, 54129, 51415, 51670, 51663, 53885, 51720, 52865, 51663, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 51415, 51670, 53498, 50817, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 52529, 53898, 52529, 53898, 56513, 53898, 56513, 53898, 50804, 77876, 51415, 52279, 51663, 53578, 51720, 52466, 52630, 50856, 54396, 51720, 52466, 52265, 50856, 53785, 51720, 52466, 52676, 50804, 51663, 54129, 51415, 51670, 52267, 51720, 52865, 51663, 53851, 50798, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 50768, 50302, 50817, 51415, 50811, 50470, 50768, 50302, 50883, 50471, 58601, 50817, 51415, 50811, 50472, 58601, 50883, 56355, 51720, 50823, 51849, 51685, 51849, 51685, 54111, 51685, 54111, 74541, 52885, 52302, 51415, 51670, 53578, 51720, 52865, 52885, 54396, 51720, 52865, 53498, 56356, 51720, 52865, 51663, 54129, 51415, 51670, 51663, 53885, 51720, 50823, 51529, 51685, 51529, 51685, 53964, 51685, 53964, 51685, 50804, 51663, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 51415, 51670, 53498, 50817, 50471, 51415, 51670, 50817, 56355, 51720, 50823, 51344, 53898, 51344, 53898, 52341, 53898, 52341, 53898, 50804, 77876, 51415, 52279, 51663, 53578, 51720, 52466, 52630, 50856, 54396, 51720, 52466, 52265, 50856, 53785, 51720, 52466, 52676, 50804, 51663, 54129, 51415, 51670, 52267, 51720, 52865, 51663, 53851, 50798, 52568, 51720, 52865, 68037, 51720, 52865, 54533, 50462, 51720, 52865, 54533, 50468, 50768, 50302, 50817, 51415, 50811, 50470, 50768, 50302, 50883, 50471, 58601, 50817, 51415, 50811, 50472, 58601, 50883, 56355, 69124, 51344, 53898, 51344, 53898, 52341, 53898, 52341, 53898, 50798, 52885, 52302, 51205, 53662, 53578, 50945, 56764, 51663, 54396, 50945, 56764, 51663, 53785, 50945, 56764, 51663, 54129, 51205, 53662, 51663, 53885, 50945, 56764, 52885, 52568, 50945, 56764, 52885, 52193, 50945, 56764, 67958, 50462, 50945, 56764, 67958, 50468, 51205, 53662, 50895, 50471, 51205, 53662, 50817, 56355, 50945, 53662, 55498, 51402, 64634, 50945, 56728, 55498, 51544, 51258, 50429, 50945, 56728, 55498, 51361, 73716, 50945, 56728, 55498, 51570, 68466, 50945, 56728, 76275, 50823, 52320, 54088, 50453, 50945, 56728, 51759, 50823, 51453, 54088, 50459, 50945, 56728, 51759, 50823, 69847, 54088, 50465, 50945, 56728, 51759, 50823, 50468, 50791, 64880, 51474, 50480, 73252, 51222, 50821, 51222, 52997, 50933, 50482, 51011, 52997, 50942, 50483, 51222, 50821, 51222, 50821, 51540, 69364, 51473, 50936, 51473, 55404, 77870, 71501, 51511, 50936, 51511, 55404, 66010, 65609, 51046, 50936, 51046, 55404, 67772, 51415, 59945, 50936, 51329, 55404, 76622, 52022, 50806, 51548, 50936, 51548, 55404, 67367, 51271, 50806, 75837, 51075, 55404, 65399, 51817, 50806, 51219, 50936, 51219, 55404, 65651, 52646, 50806, 51529, 50936, 51529, 55404, 50976, 50462, 53926, 50806, 51849, 50936, 51849, 55404, 51173, 50468, 52657, 50806, 51288, 50936, 51288, 55404, 50976, 50474, 53926, 50806, 51849, 50936, 51849, 55404, 51173, 50480, 51817, 50806, 51219, 50936, 51219, 55404, 50976, 51540, 51720, 53898, 51344, 51469, 51344, 71062, 52885, 54514, 51696, 50466, 50804, 50827, 50468, 51720, 50806, 51344, 50936, 51344, 55404, 50976, 50474, 51817, 50806, 51219, 50936, 51219, 55404, 51173, 50480, 70188, 51143, 50936, 51143, 55404, 50860, 50484, 50804, 50827, 51540, 51415, 50936, 51329, 50936, 51329, 55404, 50940, 57493, 51977, 50444, 52018, 50821, 79762, 51211, 52997, 70089, 52018, 50806, 72549, 51211, 52420, 50940, 51382, 60111, 51720, 50821, 51344, 50821, 51344, 52997, 57830, 52018, 50806, 51211, 50936, 51211, 55404, 50976, 50462, 51720, 50806, 51344, 50936, 51344, 55404, 51173, 50468, 51817, 50806, 51219, 50936, 51219, 55404, 50976, 50474, 51271, 50806, 75837, 51075, 55404, 51173, 50480, 70188, 51143, 50936, 51143, 55404, 50976, 51540, 51415, 54089, 51329, 54089, 51329, 54089, 50798, 52885, 52737, 50462, 50635, 56540, 50821, 51075, 50821, 51075, 52589, 52885, 58297, 51271, 50821, 51075, 50821, 51075, 53113, 51415, 50821, 51329, 50821, 51329, 54007, 51271, 50821, 51075, 50821, 51075, 52422, 51415, 50821, 51329, 50821, 51329, 52997, 51695, 51227, 50429, 73252, 56996, 51046, 52686, 65609, 54401, 54401, 51556, 54088, 50438, 51213, 51196, 51473, 51196, 51473, 73648, 51173, 52129, 50823, 51618, 54088, 51382, 51695, 51227, 51621, 54088, 56540, 50821, 51075, 50821, 51075, 52589, 51695, 51173, 50417, 51271, 50821, 51075, 50821, 51075, 53113, 51415, 50821, 51329, 50821, 51329, 52589, 65605, 51271, 50821, 51075, 50821, 51075, 52589, 51135, 54088, 50426, 51415, 50821, 51329, 50821, 51329, 52997, 51695, 51173, 50429, 73252, 56996, 51046, 52686, 69364, 51473, 50806, 51473, 52090, 50823, 51556, 54088, 56903, 51160, 51278, 51160, 51278, 51160, 50843, 51173, 52129, 59981, 51213, 51160, 51473, 51160, 51473, 63576, 54088, 51382, 51695, 75581, 71110, 72452, 72452, 51621, 54088, 56540, 50821, 51075, 50821, 51075, 55307, 51173, 50417, 51271, 50821, 51075, 50821, 51075, 53113, 51415, 50821, 51329, 50821, 51329, 52589, 60134, 51271, 50821, 51075, 50821, 51075 ]

[ 0, 250, 8787, 5175, 15229, 11, 211, 538, 6, 5378, 16364, 19, 1007, 8, 13363, 28191, 34879, 6, 150, 67, 16105, 20292, 23225, 6, 2905, 10686, 25, 10, 19834, 2125, 4, 85, 11498, 10, 23667, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 6, 19, 10, 33215, 13931, 9, 230, 6, 230, 10431, 6, 230, 37152, 6, 274, 10431, 6, 8, 230, 37152, 442, 10, 4315, 2772, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 54734, 62119, 66898, 51324, 66898, 51086, 66898, 50899, 66898, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 80019, 71620, 51214, 71620, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 52163, 51247, 51123, 54734, 62119, 55856, 51086, 55856, 51324, 55856, 50899, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 80019, 71620, 51086, 55856, 50899, 55856, 51214, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 52163, 51247, 54863, 51247, 50874, 54734, 62119, 71620, 51324, 55856, 51086, 55856, 50899, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 80019, 55856, 51086, 55856, 50899, 55856, 51214, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 52163, 51247, 51123, 54734, 80222, 55856, 50989, 55856, 51324, 55856, 50899, 55856, 50426, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 51973, 51247, 52057, 51247, 52116, 51247, 50803, 54734, 67125, 55856, 51040, 55856, 50989, 55856, 51966, 55856, 50796, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 52325, 51247, 51123, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 52325, 51247, 54863, 51247, 50874, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 52325, 51247, 51123, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52038, 51247, 52119, 51086, 53925, 51247, 52284, 51086, 52116, 51247, 53532, 51086, 50802, 54734, 52244, 51086, 52030, 51086, 55380, 51086, 53532, 51086, 50802, 52591, 51086, 52030, 51086, 55380, 51086, 53532, 51086, 50802, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51247, 51123, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 53300, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 53532, 50871, 75008, 52325, 51247, 50821, 51324, 57651, 51247, 50874, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 57366, 50871, 52815, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51247, 51123, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 51247, 59237, 53743, 51086, 59237, 55118, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 51086, 52038, 50871, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 50871, 53743, 51086, 59237, 55118, 51324, 54276, 50871, 55680, 50871, 75008, 52325, 51324, 50854, 54578, 53728, 51324, 59844, 50810, 51086, 52038, 50871, 55396, 50871, 52559, 51086, 50823, 51324, 55306, 50871, 57366, 50871, 52815, 51086, 59237, 50822, 51339, 53658, 51324, 54276, 50871, 55680, 50871, 75008, 52325, 51324, 50854, 51339, 50795, 54734, 59237, 53728, 51324, 59844, 50810, 58383, 51086, 77277, 51631, 51247, 59237, 55396, 50871, 52559, 51086, 50823, 51324, 51514, 50333, 53505, 50973, 54362, 51247, 59237, 53743, 51086, 59237, 50822, 51339, 53658, 51324, 54276, 51247, 59237, 55680, 50871, 75008, 52325, 51324, 50854, 51339, 54093, 51120, 50854, 54734, 59237, 53728, 51324, 59844, 50810, 58383, 51086, 77277, 51631, 51247, 59237, 55396 ]

[ 0, 250, 2635, 12, 20764, 3495, 2214, 14, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 6, 1969, 13, 10, 822, 19834, 4, 20, 13305, 8, 21979, 8669, 185, 5, 483, 6, 7513, 30, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 83, 6, 211, 6, 272, 119, 1176, 406, 6, 211, 6, 8, 272, 119, 4, 20, 1374, 6711, 16, 65, 9, 657, 8, 11098, 6, 442, 24, 41, 5631, 2031, 13, 10, 1144, 26016, 1310, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 50796, 74491, 52500, 53160, 74905, 50847, 73019, 51277, 59812, 54879, 54342, 51042, 58507, 75120, 50850, 57847, 72438, 51042, 51101, 50847, 68465, 50935, 57053, 66913, 50847, 73019, 51277, 58282, 51148, 51171, 51293, 57783, 50995, 50946, 58187, 50850, 54777, 74504, 77111, 50438, 50909, 51233, 50868, 76097, 51171, 51141, 50885, 51477, 50450, 58285, 69350, 74491, 51469, 53160, 51353, 51678, 52821, 50420, 50951, 55990, 67045, 65785, 50999, 57954, 54879, 68181, 50951, 69297, 51212, 73303, 50438, 50999, 54180, 58176, 67367, 50951, 69297, 51277, 65104, 50450, 51220, 57172, 62491, 68464, 50951, 51100, 51042, 50978, 74300, 58282, 51313, 51171, 53090, 50419, 51656, 51158, 58060, 51073, 65131, 50946, 51714, 50425, 52187, 63559, 50999, 55541, 50901, 50431, 52033, 51124, 52091, 51803, 71625, 65675, 51591, 50885, 51452, 50438, 51062, 50918, 51711, 50918, 50909, 51183, 50868, 51077, 50451, 52457, 55982, 52832, 50980, 50799, 55822, 50859, 52187, 53002, 53160, 52500, 52016, 53002, 50417, 52457, 51356, 50420, 50988, 51101, 50988, 51177, 57189, 51141, 50848, 70303, 50988, 51283, 50988, 51477, 50438, 68973, 68973, 50444, 70531, 50847, 63589, 51652, 56304, 67083, 62034, 51667, 50894, 51042, 51101, 51042, 51177, 50459, 51643, 51021, 74491, 52500, 53160, 52500, 50417, 52135, 51407, 50420, 69433, 50988, 58299, 77649, 50872, 69879, 59769, 50848, 53912, 50850, 55792, 53969, 50872, 57076, 53562, 50848, 67083, 51101, 50455, 51667, 58133, 51042, 51101, 51042, 51177, 50458, 51652, 63604, 51667, 50806, 57732, 52500, 51332, 52500, 50420, 51667, 51354, 50988, 51192, 50988, 51192, 59812, 50995, 64804, 50428, 51652, 50940, 50431, 51667, 52309, 50988, 51115, 50988, 51295, 50437, 52135, 72328, 50850, 56678, 51918, 78657, 50847, 70447, 50885, 51109, 50885, 51267, 50455, 51652, 68179, 50988, 61364, 50901, 50799, 52376, 50858, 51332, 51469, 51332, 51469, 50416, 52457, 60208, 52832, 77396, 50988, 51101, 50988, 51177, 59812, 51109, 50885, 51267, 50432, 50988, 51115, 50988, 72600, 50850, 79905, 50443, 52376, 63523, 71766, 50847, 65223, 50885, 51025, 50885, 51400, 50454, 52376, 52935, 50988, 67933, 69810, 51652, 50940, 50799, 52522, 50896, 51171, 51264, 51171, 63560, 50946, 51196, 50946, 63492, 50944, 50896, 50944, 55224, 52522, 59050, 51242, 50885, 51212, 50435, 52522, 56341, 52522, 51192, 68973, 68973, 50444, 50944, 73906, 51177, 50447, 51652, 51460, 50450, 50885, 51109, 50885, 51267, 50456, 51667, 60772, 59324, 50901, 50799, 52522, 51624, 50294, 51714, 51171, 52069, 50419, 52457, 54718, 50946, 51623, 50946, 51623, 50423, 52832, 52097, 50426, 50944, 51226, 50944, 51226, 50432, 50885, 57245, 53913, 50850, 51160, 50850, 72040, 50944, 60439, 54058, 50885, 51267, 50885, 51056, 50455, 55822, 54647, 50946, 59157, 67164, 55822, 50809, 50799, 52457, 50809, 53160, 51469, 53160, 51469, 50415, 52376, 56763, 52457, 50962, 50988, 51116, 50988, 77950, 52457, 51460, 57189, 51446, 50848, 51446, 50432, 55822, 50948, 50988, 51226, 50988, 51226, 50437, 52376, 51573, 50438, 67474, 50850, 67367, 50847, 57885, 57197, 50848, 51141, 50848, 51141, 50453, 52522, 68750, 52376, 68065, 52457, 55416, 50988, 51177, 50988, 51121, 50799, 52457, 51336, 51171, 51264, 51171, 63560, 50946, 63382, 54243, 50944, 50889, 50944, 55112, 50885, 51452, 50885, 51790, 50438, 50850, 51077, 50850, 51077, 50456, 52457, 57308, 52832, 50921, 50799, 55822, 50821, 51838, 53501, 52187, 51732, 51615, 53002, 53160, 52500, 53160, 52500, 55156, 53501, 56376, 51732, 54601, 53002, 50417, 52457, 51343, 50420, 50988, 51101, 50988, 51177, 57189, 51141, 50848, 70303, 50988, 51283, 50988, 51477, 50438, 68973, 68973, 50444, 70531, 50847, 63589, 50848, 67083, 51101, 50453, 51652, 52884, 51042, 51101, 51042, 51177, 50457, 51667, 50803, 71756, 50976, 53160, 52500, 53160, 52500, 50420, 51667, 67845, 50915, 74962, 50425, 52135, 51527, 50426, 77649, 50872, 69879, 59769, 50848, 53912, 50850, 55792, 53969, 50872, 57076, 53562, 50848, 67083, 51101, 50452, 52135, 58403, 51667, 59349, 51042, 51101, 51042, 51177, 50458, 51652, 63604, 51667, 51573, 51615, 51300, 51711, 52097, 52225, 51300, 54601, 51300, 54486, 52097, 56276, 51300, 57732, 52500, 51332, 52500, 57783, 51318, 78007, 50426, 76416, 50868, 62118, 51667, 67506, 51177, 73303, 50435, 51652, 57880, 51615, 51336, 51838, 51527, 52187, 51527, 54601, 51336, 55156, 51527, 56376, 75362, 51667, 50821, 51791, 51336, 51791, 51356, 50441, 51652, 55885, 51042, 51124, 51042, 51116, 50447, 52135, 54526, 50848, 60871, 59827, 50847, 54667, 62533, 51652, 50821, 50799, 52376, 50895, 52033, 52097, 51615, 51300, 51711, 51527, 51688, 51469, 51688, 51469, 56852, 52097, 54601, 51300, 54486, 51527, 50415, 52457, 58767, 52832, 51552, 57783, 51115, 50885, 79642, 70531, 50847, 62109, 76775, 50868, 51295, 50437, 52033, 51388, 51711, 51192, 56852, 51388, 54486, 51192, 50438, 50850, 79905, 50443, 52187, 51060, 51881, 51158, 56376, 51060, 56586, 73374, 71766, 71766, 50449, 52457, 50883, 52770, 50883, 52133, 50879, 51656, 50893, 58084, 50879, 54837, 55260, 52376, 60947, 51025, 50885, 51400, 50455, 51652, 50860, 51615, 51173, 53541, 51158, 54601, 51173, 61228, 64713, 50988, 67933, 50806, 50461, 52332, 53435, 53389, 51795, 56302, 53435, 77030, 53435, 73935, 50976, 51171, 51264, 51171, 63560, 52522, 50921, 50946, 51196, 50946, 63492, 52522, 70533, 50896, 50944, 55224, 52522, 51066, 50885, 51242, 50885, 72759, 68973, 68973, 50443, 52522, 60815, 50944, 73906, 51177, 50449, 51652, 52610, 50885, 51109, 50885, 51267, 50455, 51615, 51158, 53541, 50976, 54601, 51158, 61228, 72333, 51667, 51029, 50946, 59324, 73894, 52133, 51795, 51656, 51795, 58084, 52392, 54837, 51795, 58282, 51714, 51171, 52069, 67653, 51623, 50946, 51623, 50425, 52522, 57078, 50944, 51226, 50944, 51226, 50431, 52457, 52686, 50885, 57245, 71648, 52832, 51343, 50438, 50850, 51160, 50850, 72040, 50944, 60439, 54058, 50885, 51267, 50885, 51056, 50455, 51711, 51158, 54486, 64713, 52832, 72470, 59157, 67164, 52376, 71154, 52376, 50803, 52187, 51655, 51881, 51184, 51615, 51184, 56376, 51655, 56586, 51655, 54601, 51184, 74491, 51469, 53160, 51469, 50417, 52457, 59217, 50988, 51116, 50988, 51116, 57189, 51446, 50848, 51446, 50432, 50988, 51226, 50988, 66564, 52457, 51014, 67474, 71419, 50443, 52457, 54952, 50847, 57885, 51003, 50446, 51652, 56812, 50848, 51141, 50848, 51141, 50456, 51667, 51021, 50988, 51177, 50988, 51121, 50461, 51881, 51184, 55430, 51145, 56586, 51184, 50714, 50294, 51145, 75799, 62988, 51538, 51171, 51538, 51171, 51538, 52016, 51655, 50415, 50946, 51538, 50885, 51422, 50885, 51692, 50944, 51538, 50416, 50944, 51538, 50850, 51538, 50850, 51538, 50432, 52457, 54496, 52457, 52952, 52457, 52313, 51652, 69389, 51667, 51160, 50455, 52135, 50806, 52563, 51795, 52135, 51029, 53160, 54055, 52016, 69795, 54226, 50988, 51116, 50988, 51116, 57189, 51446, 50848, 51446, 50843, 51527, 50430, 51667, 52686, 51652, 50890, 50988, 51318, 50988, 51310, 50434, 51652, 53435, 50438, 50973, 53177, 50318, 53177, 50323, 51090, 50847, 51077, 50847, 66336, 50876, 53177, 50322, 53177, 50325, 51090, 59769, 50848, 55069, 50988, 51203, 50988, 51255, 55331, 52017, 50951, 52017, 51220, 52017, 50953, 51184, 53160, 51469, 53160, 71062, 54226, 50988, 52311, 50988, 52827, 57189, 51446 ]

[ 0, 250, 765, 5175, 2214, 19, 15855, 16882, 6, 4246, 10, 15352, 30054, 8, 19448, 5466, 10686, 13, 822, 4, 85, 11498, 10, 23758, 3938, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 33215, 16739, 9, 163, 6, 381, 401, 6, 8, 163, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 63174, 53913, 50973, 77204, 50916, 56838, 50989, 62065, 50965, 50907, 54852, 67985, 50965, 55740, 50877, 56237, 50973, 54325, 51028, 60137, 50902, 55100, 50968, 57815, 51028, 56006, 61825, 51114, 74244, 50965, 60466, 50877, 58068, 50973, 56881, 61825, 50453, 50965, 50907, 50973, 60004, 61825, 51028, 72037, 69550, 51001, 51123, 57190, 50984, 50968, 51123, 50417, 50989, 50907, 51001, 59895, 50965, 51123, 50968, 58910, 70253, 51114, 57252, 50973, 50907, 51147, 67836, 51028, 50912, 50999, 57959, 69017, 51220, 63801, 50973, 50984, 51147, 58604, 50968, 51123, 51028, 51254, 50441, 50902, 60466, 50968, 51123, 50916, 51376, 50447, 51114, 55814, 50968, 51022, 50877, 51965, 50453, 50902, 62082, 50968, 51123, 51027, 79088, 51114, 51022, 55331, 51022, 51086, 51466, 50417, 51028, 57711, 50902, 51123, 50965, 74525, 50968, 57252, 50902, 51123, 50973, 51961, 50429, 51315, 50912, 51028, 60816, 51378, 50912, 50902, 63801, 51176, 50912, 50968, 58604, 51027, 50912, 51028, 51269, 50441, 51176, 50984, 50973, 62622, 51027, 50912, 51028, 51022, 50916, 51254, 50447, 51086, 50984, 51001, 55814, 75039, 50877, 53131, 50320, 52212, 50453, 50899, 55162, 70088, 50965, 51254, 50459, 51040, 50912, 56310, 50912, 50989, 51447, 50417, 51176, 55869, 51027, 56779, 51086, 54325, 51027, 50912, 51001, 52025, 50429, 51176, 55100, 51027, 57455, 51086, 58604, 51176, 50907, 50916, 53131, 50320, 51824, 50441, 51378, 54947, 51176, 50912, 51430, 80059, 51027, 54823, 51086, 50907, 51147, 51174, 50453, 51040, 55346, 69271, 51220, 73316, 51086, 50912, 57346, 50912, 50968, 52980, 50417, 51086, 55740, 51040, 50912, 50999, 75110, 50899, 54325, 70088, 51028, 67012, 50989, 55100, 62007, 50968, 76257, 50916, 54793, 79741, 50877, 74243, 50916, 54947, 79741, 50902, 53131, 50315, 75102, 50965, 54823, 61825, 51028, 51254, 50453, 50965, 55346, 50989, 50907, 50999, 61976, 51166, 50459, 70088, 54206, 50907, 50877, 52454, 50327, 70544, 51040, 50912, 54569, 56779, 70088, 53337, 50912, 50965, 74448, 51040, 50912, 50968, 55011, 69271, 51114, 51022, 50973, 69783, 77559, 51147, 61929, 50999, 51123, 51040, 53131, 50308, 51330, 50441, 51147, 60466, 50999, 51269, 51086, 51254, 50447, 51220, 59038, 51399, 51123, 51027, 51254, 50453, 51146, 60004, 51430, 51022, 51176, 53131, 50320, 51254, 50459, 51399, 51123, 58479, 51123, 51378, 53131, 50322, 51330, 50417, 51147, 64080, 50999, 51022, 50916, 51254, 50423, 51220, 57252, 50999, 51022, 50956, 51254, 50429, 50973, 50984, 51147, 60816, 51028, 50912, 50999, 51123, 51086, 51254, 50435, 51001, 50912, 51220, 58604, 50968, 50984, 51147, 51022, 50916, 51254, 50441, 51001, 50984, 51114, 62622, 69128, 51147, 65650, 51114, 50984, 50999, 59038, 51147, 50912, 51220, 79519, 50999, 50907, 51399, 60004, 51220, 51123, 51146, 52011, 50459, 51147, 50912, 57289, 62311, 50902, 55869, 69128, 51147, 52731, 50423, 51114, 55070, 69128, 51399, 53577, 78740, 55238, 50968, 59037, 51114, 54584, 50902, 60887, 51028, 57043, 69017, 51220, 65650, 50968, 51123, 50999, 59038, 74953, 51147, 52011, 50453, 51028, 56838, 69017, 50916, 72993, 69128, 58479, 51123, 51028, 55505, 50310, 70544, 51147, 57711, 50999, 51123, 50877, 51254, 50423, 51220, 57252, 50999, 51123, 50902, 52783, 50429, 51086, 50984, 51147, 60816, 51040, 50912, 50999, 63801, 69271, 51220, 55707, 70088, 51147, 51123, 50441, 69271, 51114, 57138, 70088, 51147, 65932, 79741, 50999, 59038, 79944, 51220, 53280, 50453, 61825, 51001, 55346, 79944, 51114, 62065, 79741, 51147, 50907, 54578, 50912, 51028, 52136, 50417, 51040, 54964, 71152, 50999, 62791, 66398, 51147, 57252, 79741, 50999, 53280, 50429, 50965, 55100, 61825, 51114, 75256, 50989, 54793, 69271, 50973, 52431, 50441, 51040, 54947, 69271, 50999, 51432, 50447, 50916, 54823, 69271, 51147, 51387, 50453, 51040, 55162, 69271, 51114, 51432, 50459, 70088, 57346, 50907, 50931, 51824, 50417, 51027, 55869, 51086, 50912, 51028, 51824, 50423, 51040, 50912, 53337, 50912, 50877, 53536, 50322, 53280, 50429, 50916, 55100, 50989, 50907, 50902, 51254, 50435, 50899, 54793, 51086, 50912, 50965, 51254, 50441, 51027, 54682, 51086, 50912, 50973, 53535, 50324, 51824, 50447, 51040, 54823, 51086, 50912, 50871, 53131, 50317, 51387, 50453, 51027, 55162, 51086, 50912, 51001, 51022, 50965, 51254, 50459, 51040, 50912, 50931, 51123, 60497, 51269, 51027, 53131, 50305, 51254, 75536, 64080, 51114, 51269, 51176, 51254, 50423, 51147, 55124, 50999, 51269, 51378, 51254, 50429, 51220, 60816, 51399, 51022, 51027, 51254, 50435, 50999, 58604, 51114, 51123, 51197, 51470, 50441, 50968, 60466, 51114, 51123, 51040, 51254, 50447, 51147, 55814, 51114, 51022, 50900, 53131, 50307, 51447, 50453, 50968, 60004, 51114, 51123, 51176, 51254, 50459, 51147, 51123, 57289, 51123, 51360, 51254, 72239, 64080, 50968, 51022, 51197, 51254, 50423, 51114, 57252, 51147, 51123, 51315, 53131, 50305, 51330, 50429, 50999, 57959, 51220, 51123, 51197, 51254, 50435, 51147, 58604, 50968, 51123, 51360, 51376, 50441, 50902, 60466, 50968, 51123, 51086, 51254, 50447, 51114, 59038, 50968, 51123, 50997, 53131, 50305, 51447, 50453, 50902, 56773, 50968, 51123, 51378, 51254, 50459, 51114, 51123, 55331, 51022, 51324, 51470, 50417, 51028, 51123, 58973, 51123, 51360, 51376, 50423, 50968, 57252, 51114, 51022, 51120, 53131, 50303, 51330, 50429, 51147, 55011, 50999, 51022, 51360, 51376, 50435, 51114, 55707, 51147, 51022, 51324, 51376, 50441, 51114, 57138, 51147, 51022, 51027, 51254, 50447, 50999, 59038, 51220, 51123, 51176, 53131, 50303, 51447, 50453, 51399, 56773, 51146, 51022, 51378, 51254, 50459, 51220, 51123, 73607, 51123, 51050, 51254, 50417, 51220, 59895, 50999, 51123, 51360, 51470, 50423, 51147, 58844, 51114, 51022, 51120, 53131, 50301, 51254, 50429, 50968, 57959, 50902, 51123, 51027, 53131, 50310, 73187, 51028, 58604, 50973, 51022, 51086, 78502, 74244, 51028, 60466, 51027, 50907, 50902, 65650, 51086, 50912, 50973, 59038, 50965, 52858, 50305, 51330, 50453, 51040, 60004, 50956, 50907, 51028, 51432, 50459, 66398, 57126, 50907, 50877, 55505, 50298, 51074, 74850, 55869, 50989, 50907, 51028, 51432, 50423, 50965, 54504, 61825, 51114, 52192, 50429, 50973, 55100, 51028, 50912, 50968, 51824, 50435, 50877, 54584, 79741, 50999, 51123, 50441, 77559, 51147, 60466, 79741, 51114, 65650, 50965, 50912, 50968, 59038, 79741, 50902, 53280, 50453, 50916, 55162, 50989, 57467, 50965, 50912, 55524, 62311, 75039, 54569, 50912, 50965, 51432, 50423, 50916, 54325, 79741, 50902, 51824, 50429, 50965, 55100, 61825, 51028, 51824, 50435, 50989, 54793, 69271, 51114, 51123, 50441, 51040, 50912, 50968, 51123, 55989, 50912, 50902, 65650, 70088, 51028, 55814, 69271, 50973, 53280, 50453, 51040, 55346, 50899, 58247, 70088, 57346, 62311, 51086, 54964, 75039, 50877, 62791, 71773, 50965, 51123, 56207, 51123, 51040, 51166, 50429, 50973, 57959, 51028, 51123, 51027, 75675, 51330, 50435, 50877, 58604, 50989, 51123, 51086, 51333, 50441, 51028, 51123, 55989, 50912, 50973, 65650, 51040, 50912, 80035, 56279, 50912, 50965, 51432, 50453, 51315, 50912, 50989, 55162, 51378, 50912, 50916, 58247, 51176, 50912, 69271, 56310, 50912, 51040, 51074, 50417, 51176, 50912, 50916, 51022, 56945, 50912, 50989, 62791, 51086, 50912, 50965, 57252, 75573, 50877, 65472, 72534, 50973, 55238, 77559, 51028, 56857, 51040, 50912, 50877 ]

[ 0, 713, 8787, 3152, 8, 3495, 24904, 2125, 6, 278, 11, 211, 3694, 6, 1931, 21683, 41, 20425, 8, 32076, 16464, 4, 20, 3152, 6757, 8, 13305, 483, 5, 15352, 30054, 1427, 6, 22689, 30, 5, 1428, 32618, 9, 5, 81, 9756, 8669, 8, 21072, 6, 19, 2382, 3459, 8669, 1271, 10, 23520, 2842, 4, 11679, 154, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 5, 15229, 1575, 10, 33215, 13931, 9, 381, 6, 3676, 406, 428, 245, 73, 495, 6, 211, 6, 8, 3676, 6, 8216, 7, 63, 20902, 8, 17627, 17274, 2048, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 53534, 52500, 51188, 50991, 50856, 50870, 50777, 50339, 51801, 50420, 50777, 50318, 51801, 50422, 51404, 52140, 52232, 51161, 52389, 57737, 50870, 50777, 50320, 51801, 50432, 50777, 50325, 51801, 56797, 50870, 59802, 51047, 50777, 50335, 51801, 50450, 77968, 50870, 50777, 50328, 52919, 50777, 50308, 51801, 50456, 62300, 51404, 51204, 52563, 51469, 52232, 51116, 50856, 50870, 50777, 50289, 51307, 50423, 51188, 51203, 51746, 50991, 52389, 57737, 50870, 79478, 51151, 50432, 51188, 51452, 50438, 51746, 50918, 50856, 50870, 50777, 50298, 51151, 50450, 77968, 50870, 52534, 51469, 51188, 50991, 50856, 50870, 50777, 50290, 51307, 58535, 51151, 50423, 51245, 51894, 51770, 51605, 52389, 57737, 52904, 50856, 53003, 77968, 50870, 52288, 51196, 51245, 50991, 50856, 54604, 51323, 51235, 52400, 51235, 52389, 57737, 53575, 51323, 53264, 51019, 51356, 51746, 51274, 53824, 51274, 50816, 63337, 50816, 55933, 52851, 50867, 51888, 50867, 52491, 56317, 53152, 50813, 52578, 50813, 52891, 52800, 51913, 50921, 52002, 50921, 52172, 50921, 50453, 53152, 50808, 52578, 50808, 52891, 52643, 52851, 50833, 51888, 50833, 52491, 56054, 53152, 50809, 52578, 50809, 52891, 50809, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 51913, 55198, 52002, 55198, 52172, 55198, 53583, 61819, 53023, 51011, 52589, 51135, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 53630, 51392, 53023, 51011, 51508, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 50867, 52851, 50840, 51888, 50840, 52491, 52411, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 50854, 53152, 50940, 52578, 50940, 52891, 50940, 56319, 59528, 52110, 57622, 52851, 50808, 51888, 50808, 52491, 52643, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 55912, 53520, 51913, 53520, 53880, 53520, 53583, 53023, 51011, 51508, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 53630, 51392, 53023, 51011, 51508, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 51953, 50834, 51859, 50887, 52421, 50795, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51617, 51464, 54603, 50798, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 51617, 52259, 51392, 53023, 73252, 51617, 51196, 72274, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 52762, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 52421, 50893, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51617, 51406, 54603, 50798, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 51617, 50893, 53583, 53023, 73252, 52421, 50862, 72274, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 50829, 51617, 54392, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 51916, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 53983, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 69963, 51403, 55742, 51392, 59528, 52110, 54424, 70014, 51956, 69725, 50820, 55524, 61541, 73357, 50825, 65609, 51404, 50862, 51323, 50862, 52232, 50862, 52317, 50829, 52333, 50840, 51829, 50849, 53583, 53023, 73252, 51617, 52348, 53868, 50916, 61541, 73357, 50825, 51213, 50923, 51404, 50829, 51323, 50829, 52232, 50829, 52333, 50855, 51829, 66829, 51404, 50837, 51323, 50837, 52232, 50837, 69963, 51403, 55742, 51392, 58815, 52110, 57544, 51213, 64702, 50829, 51323, 50829, 52232, 52953, 50916, 61541, 73357, 50825, 63028, 51404, 50837, 51323, 50837, 52232, 75968, 51582, 54248, 51404, 50829, 51323, 50829, 52232, 54366, 52600, 50989, 59903, 64134, 50864, 61954, 51404, 50904, 51323, 50904, 52232, 54897, 51392, 52875, 50989, 59903, 64134, 50864, 61954, 51188, 50867, 51823, 50867, 51746, 50867, 52421, 53756, 51135, 52772, 61022, 57472, 59950, 66827, 51943, 50867, 51404, 50867, 51323, 50867, 52421, 50809, 69963, 51403 ]

[ 0, 250, 765, 15855, 8, 5175, 2125, 4246, 10, 13305, 6, 278, 11, 10, 231, 73, 398, 86, 6543, 8, 10, 1769, 20889, 9, 9680, 741, 1685, 4, 20, 15229, 16, 11, 5, 762, 9, 274, 538, 6, 19, 10, 33215, 16739, 9, 274, 6, 211, 119, 6, 8, 230, 4, 20, 6711, 7630, 6568, 10, 25306, 6, 2635, 6, 3722, 6, 8, 19448, 5466, 19, 10, 11602, 9, 15073, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51540, 50634, 51540, 50634, 50474, 51303, 50893, 53075, 51411, 51540, 52303, 51419, 51414, 57222, 51303, 50938, 53075, 57105, 52303, 51419, 51414, 51141, 50474, 51303, 50849, 53075, 51534, 51540, 52303, 51313, 51414, 53259, 50474, 53075, 50827, 51303, 50859, 51540, 52303, 51008, 51414, 58798, 51410, 50864, 51457, 52841, 51303, 50844, 51825, 52848, 52932, 50800, 51414, 50878, 50462, 51303, 50822, 51825, 50854, 50474, 51231, 50886, 51981, 50836, 51540, 51303, 50874, 51825, 52710, 51457, 50846, 51410, 54077, 52303, 50867, 51414, 53938, 51303, 51477, 51249, 51141, 51327, 51295, 50474, 53075, 51534, 51303, 51221, 51540, 52303, 51477, 51414, 66744, 51303, 50866, 53075, 74047, 52303, 51391, 51414, 51295, 50474, 51303, 50873, 53075, 51412, 51540, 52303, 51243, 51414, 51353, 50474, 52303, 50874, 51414, 50812, 51540, 51410, 50886, 51457, 52329, 51303, 50874, 51825, 52841, 51414, 50904, 52932, 54208, 51457, 50822, 54310, 50808, 50462, 51414, 50904, 52932, 50855, 50474, 51327, 50886, 53171, 50813, 51540, 51414, 50864, 52932, 53383, 51231, 50886, 51981, 53894, 51818, 50887, 52287, 50809, 51476, 51642, 51414, 51423, 50450, 51825, 50983, 51303, 51145, 51249, 51447, 50474, 53075, 51645, 51303, 51255, 51540, 52303, 53674, 51414, 57222, 51303, 50938, 53075, 54980, 52303, 51134, 51414, 51141, 50474, 76351, 53075, 51363, 51540, 52303, 51293, 51414, 52382, 50474, 53075, 50912, 51303, 50812, 51540, 52303, 50933, 51414, 56382, 51410, 50867, 51457, 53415, 51303, 79829, 52741, 52932, 50812, 51414, 50959, 50462, 51303, 79829, 50808, 50474, 51231, 50886, 51981, 50840, 51540, 51303, 50822, 51825, 53950, 51457, 50828, 51410, 53894, 52303, 50857, 51414, 55268, 51303, 51310, 51249, 51364, 51327, 51343, 50474, 53075, 51172, 51303, 51124, 51540, 52303, 51318, 51414, 71378, 51303, 50938, 53075, 51412, 50450, 52303, 51542, 51414, 51218, 50474, 51303, 50873, 53075, 51412, 51540, 52303, 51293, 51414, 51359, 50474, 52303, 50827, 51414, 50808, 51540, 51410, 50864, 51457, 54156, 51303, 50822, 51825, 51724, 51414, 50886, 52932, 54208, 51457, 50874, 54310, 50812, 50462, 51414, 50867, 52932, 50840, 50474, 51327, 50864, 53171, 50809, 51540, 51414, 50857, 52932, 52329, 51231, 50867, 51981, 55395, 51818, 50809, 52287, 50887, 51476, 51233, 51414, 77393, 51825, 51141, 51303, 51878, 51249, 51145, 50474, 51303, 51255, 51825, 51116, 51540, 51327, 51189, 53171, 51364, 50438, 51303, 51157, 51825, 56508, 51327, 51115, 53171, 51417, 50474, 51825, 50991, 51303, 51377, 51540, 53171, 51696, 51327, 51353, 50474, 51303, 50800, 53075, 50897, 51540, 51249, 50880, 51327, 50887, 51687, 52710, 51249, 50809, 51327, 50809, 51687, 54181, 53075, 50855, 51303, 55510, 51414, 50880, 51410, 50833, 50462, 51410, 75630, 50858, 50474, 53075, 50862, 51303, 50821, 51540, 51476, 50855, 51249, 50821, 51980, 52422, 51476, 50862, 51249, 50890, 51980, 54362, 53075, 50836, 51303, 54411, 51414, 50983, 51457, 51496, 52303, 51115, 50474, 51457, 51379, 51410, 51377, 51540, 52287, 51226, 52948, 51141, 51249, 51141, 51719, 71378, 51457, 51095, 51410, 56508, 51249, 51189, 52948, 51141, 52287, 50983, 51719, 51562, 50474, 51457, 51192, 51410, 51255, 51540, 51249, 51264, 51719, 51264, 52948, 55362, 52287, 53898, 50474, 53655, 50810, 51410, 50833, 51540, 51476, 50854, 51719, 50859, 51249, 56382, 51476, 50840, 51249, 50800, 51719, 53402, 53655, 50833, 51410, 54721, 52303, 75470, 50800, 50462, 52303, 50833, 51231, 50808, 50474, 53655, 50840, 51410, 50833, 51540, 52326, 50840, 51327, 50808, 51719, 55640, 52326, 50836, 51719, 50808, 51327, 54181, 53655, 50809, 51410, 52741, 52690, 51091, 51231, 51294, 51414, 51294, 50474, 52303, 50854, 51414, 50830, 51540, 51980, 50840, 51687, 51218, 51231, 78046, 51981, 55395, 52932, 50887, 52303, 68031, 56822, 50809, 51231, 51141, 51687, 51115, 50462, 52932, 50855, 50474, 53171, 50818, 52303, 51203, 51540, 52932, 50836, 51231, 51218, 51687, 51446, 50426, 51981, 53574, 51980, 50836, 52303, 65504, 51303, 51397, 51687, 51127, 51249, 51127, 51327, 51077, 50474, 51414, 50833, 52303, 51255, 51540, 51980, 50897, 51687, 51295, 51231, 74978, 51981, 52841, 52932, 50840, 52303, 65504, 56822, 50840, 51687, 51103, 51231, 51077, 50462, 52932, 50809, 50474, 53171, 50828, 52303, 51221, 51540, 52932, 50855, 51687, 51562, 51231, 51446, 50426, 51981, 52444, 51980, 50884, 52303, 74190, 51687, 51351, 51303, 51241, 51327, 51295, 51249, 51295, 50474, 51249, 51121, 51825, 51121, 51687, 51116, 51303, 51255, 51540, 51410, 51218, 51303, 51189, 52932, 51141, 51414, 57222, 51249, 50901, 51825, 50849, 51303, 51400, 51687, 79308, 51303, 50983, 51414, 51141, 51410, 51218, 52932, 51189, 50474, 51719, 51110, 51457, 51110, 51476, 51221, 51410, 51162, 51540, 52303, 51189, 51410, 51189, 51981, 50983, 51231, 51417, 50438, 51719, 51100, 51457, 51111, 51476, 51110, 51410, 65114, 52303, 51134, 51410, 51204, 51981, 50983, 51231, 51295, 50474, 51231, 50849, 51980, 50849, 56139, 51111, 51476, 51177, 51540, 51249, 51183, 51327, 51127, 53075, 51675, 51476, 51675, 50450, 53075, 51204, 51476, 51141, 51249, 51591, 51825, 51623, 50474, 53075, 50809, 51540, 52303, 50809, 51457, 51264, 51414, 51655, 50426, 51410, 54431, 51303, 53688, 51414, 50887, 50462, 51410, 50840, 50474, 51687, 50884, 51303, 50846, 51249, 51111, 51825, 51194, 51540, 52932, 51141, 51410, 51364, 51303, 51295, 51414, 51417, 50438, 51687, 51116, 51303, 50991, 51327, 51221, 51825, 55082, 51410, 51364, 51303, 50983, 52932, 51417, 51414, 51103, 50474, 51476, 51121, 51719, 51100, 51410, 50967, 51457, 51215, 51540, 52303, 51141, 51410, 51189, 51231, 50983, 51981, 51472, 50438, 51476, 51178, 51410, 51110, 51719, 50991, 51457, 58833, 52303, 51091, 51410, 51241, 51231, 50983, 51981, 51417, 50474, 51980, 50865, 56139, 51177, 51476, 51111, 51231, 50991, 51540, 53075, 51446, 51476, 51413, 51249, 51591, 51327, 51623, 50450, 53075, 51091, 51476, 51091, 51249, 51675, 51825, 51977, 50474, 53075, 50862, 51540, 52303, 50809, 51414, 51941, 50426, 51410, 52444, 51303, 53938, 51414, 50840, 50474, 51303, 51159, 51825, 50943, 51540, 51327, 51115, 53171, 57222, 51303, 51267, 51825, 52728, 51327, 51218, 53171, 51413, 50474, 51825, 51238, 51303, 51025, 51540, 53171, 51655, 51327, 51264, 50474, 51303, 50858, 53075, 50830, 51540, 51249, 50890, 51327, 50880, 51687, 52450, 51249, 50809, 51327, 50809, 51687, 53415, 53075, 50855, 51303, 52555, 51414, 50890, 51410, 50808, 50462, 51410, 75630, 50821, 50474, 53075, 50862, 51303, 50800, 51540, 51476, 50855, 51249, 50821, 51980, 54149, 51476, 50857, 51249, 50890, 51980, 51724, 53075, 50840, 51303, 52555, 51414, 51274, 51457, 51496, 52303, 51218, 50474, 51457, 51167, 51410, 51377, 51540, 52287, 51362, 52948, 51141, 51249, 51141, 51719, 57222, 51457, 50967, 51410, 57197, 51249, 51218, 52948, 51343, 52287, 51189, 51719, 51562, 50474, 51457, 51192, 51410, 51116, 51540, 51249, 51353, 51719, 51264, 52948, 52382, 52287, 53898, 50474, 53655, 50808, 51410, 50812, 51540, 51476, 50808, 51719, 73879, 57499, 51476, 50855, 51249, 50808, 51719, 53402, 53655, 50808, 51410, 51757, 52303, 50809, 51231, 50800, 50462, 52303, 50854, 51231, 50808, 50474, 53655, 50840, 51410, 50812, 51540, 52326, 50836, 51327, 50800, 51719, 55640, 52326, 50862, 51719, 50854, 51327, 51724, 53655, 50840 ]

[ 0, 250, 19448, 15855, 2125, 19, 3495, 16882, 6, 4246, 10, 2352, 6757, 6, 21979, 8669, 6, 8, 13602, 6757, 6, 7513, 30, 3459, 9590, 8, 32625, 2236, 1021, 2678, 29, 4, 8504, 11, 83, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 6, 2351, 10, 5679, 26709, 5466, 4, 20, 33215, 16739, 9, 381, 6, 1918, 6, 230, 6, 211, 6, 8, 274, 31473, 10, 11602, 9, 1619, 16426, 7, 42, 765, 6, 15352, 30054, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51034, 50630, 64857, 54351, 53256, 50874, 51855, 50810, 51131, 56174, 52451, 50874, 52086, 50810, 50960, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50874, 52561, 50810, 50970, 54653, 52892, 50874, 51882, 50810, 62459, 51034, 51504, 54351, 53256, 50874, 51855, 50810, 51131, 56174, 52892, 50874, 51882, 50810, 50986, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50874, 52561, 50810, 50970, 54653, 52892, 50874, 51882, 50810, 62459, 76004, 54351, 52451, 50874, 52086, 50810, 50960, 56174, 52796, 50874, 52908, 50810, 50929, 53881, 52867, 50886, 55631, 62076, 54860, 52867, 50844, 55631, 50812, 51076, 53614, 52796, 50874, 52908, 50810, 50929, 54653, 52892, 50874, 51882, 50810, 62459, 51034, 53799, 50844, 52077, 50812, 51246, 54351, 52451, 50874, 52086, 50810, 50960, 56174, 52592, 50874, 52561, 50810, 50970, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 53125, 50844, 55412, 50812, 51064, 53614, 52451, 50874, 52086, 50810, 50960, 54653, 52892, 50874, 51882, 50810, 62459, 64857, 54657, 53256, 50874, 51855, 50810, 51131, 56174, 52451, 50874, 52086, 50810, 50960, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50886, 52561, 50813, 50970, 54758, 52892, 50874, 51882, 50810, 62459, 51034, 59410, 50857, 54744, 50836, 52012, 54657, 51574, 56174, 53256, 50874, 51855, 50810, 51131, 53881, 54801, 50874, 52655, 50810, 51317, 50874, 50428, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 53891, 53281, 50874, 52642, 50810, 50998, 54653, 52892, 50874, 51882, 50810, 62459, 64857, 54657, 53256, 50874, 51855, 50810, 51131, 56174, 52451, 50874, 52086, 50810, 50960, 53881, 52592, 50874, 52561, 50810, 50970, 54221, 52898, 50844, 53725, 50812, 50947, 53614, 52592, 50886, 52561, 50813, 50970, 54758, 52892, 50874, 51882, 50810, 62459, 51034, 59410, 50857, 54744, 50836, 52012, 54657, 51574, 56174, 53256, 50874, 51855, 50810, 51131, 53881, 54801, 50874, 52655, 50810, 51317, 50874, 50428, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 53891, 53281, 50874, 52642, 50810, 50998, 54653, 52892, 50874, 51882, 50810, 62459, 51034, 50927, 51538, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 77851, 51538, 51504, 53877, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52892, 50874, 51882, 50810, 50986, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50629, 50953, 51077, 51207, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52796, 50874, 52908, 50810, 50929, 56439, 52712, 52867, 50886, 55631, 62076, 59539, 52417, 52867, 50844, 55631, 50812, 51076, 53887, 51920, 52565, 60908, 52796, 50874, 52908, 50810, 50929, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 51186, 51077, 53799, 50844, 52077, 50812, 51246, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52592, 50874, 52561, 50810, 50970, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 53125, 50844, 55412, 50812, 51064, 53887, 51920, 52565, 60908, 52451, 50874, 52086, 50810, 50960, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50927, 51623, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 56735, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 77851, 51623, 51504, 53877, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52892, 50874, 51882, 50810, 50986, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 51069, 51623, 59410, 50857, 54744, 50836, 52012, 54355, 53498, 54031, 51574, 56439, 53868, 53256, 50874, 51855, 50810, 51131, 56439, 52712, 54801, 50874, 52655, 50810, 51317, 56439, 59551, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 54742, 51920, 52565, 54801, 50874, 52655, 50810, 51317, 54874, 53498, 52875, 66381, 53256, 50874, 51855, 50810, 51131, 54874, 53498, 50841, 51034, 51069, 51623, 59410, 50857, 54744, 50836, 52012, 54355, 53498, 54031, 51574, 56439, 53868, 53256, 50874, 51855, 50810, 51131, 56439, 52712, 54801, 50874, 52655, 50810, 51317, 56439, 59551, 53281, 50874, 52642, 50810, 50998, 54221, 52898, 50857, 53725, 50836, 50947, 54742, 51920, 52565, 53281, 50874, 52642, 50810, 50998, 54874, 53498, 52875, 61002, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50927, 51077, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 56735, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 62008, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 77851, 51623, 51504, 53877, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52892, 50874, 51882, 50810, 50986, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50874, 52561, 50810, 50970, 54874, 53498, 52875, 61269, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50953, 51623, 51207, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52796, 50874, 52908, 50810, 50929, 56439, 52712, 52867, 50886, 55631, 62076, 59539, 52417, 52867, 50844, 55631, 50812, 51076, 53887, 51920, 52565, 52796, 50874, 52908, 50810, 50929, 54874, 53498, 52875, 60908, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 51186, 51623, 53799, 50844, 52077, 50812, 51246, 53877, 53498, 54031, 52451, 50874, 52086, 50810, 50960, 56439, 53868, 52592, 50874, 52561, 50810, 50970, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 53125, 50844, 55412, 50812, 51064, 53887, 51920, 52565, 52451, 50874, 52086, 50810, 50960, 54874, 53498, 52875, 51186, 50805, 52892, 50874, 51882, 50810, 50986, 54874, 53498, 50841, 51034, 50927, 51623, 51444, 54355, 53498, 54031, 53256, 50874, 51855, 50810, 51131, 56439, 53868, 52451, 50874, 52086, 50810, 50960, 56439, 52712, 52592, 50874, 52561, 50810, 50970, 56439, 52417, 52898, 50844, 53725, 50812, 50947, 53887, 51920, 52565, 52592, 50886, 52561, 50813, 50970, 55503, 53498, 52875, 56735, 52892, 50874, 51882, 50810, 50986, 54874 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 21979, 8669, 6, 3459, 9590, 6, 2342, 4467, 6, 8, 18558, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 6, 17407, 30, 10, 33215, 16739, 9, 274, 119, 406, 6, 163, 428, 6, 12608, 6, 8, 272, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50444, 51882, 50806, 50449, 52914, 50806, 50455, 51882, 50879, 55563, 69561, 75327, 57245, 51535, 50979, 51535, 50992, 51535, 52561, 50936, 50419, 51882, 50879, 51039, 50972, 50425, 52914, 51933, 51768, 53021, 50905, 52623, 51112, 51986, 68175, 51325, 61467, 51079, 56644, 50437, 52623, 52446, 51325, 62695, 53284, 50905, 51986, 60492, 50801, 50838, 51248, 50815, 50300, 50905, 52623, 50865, 51986, 69451, 52623, 50893, 51955, 50892, 51190, 50815, 50304, 50981, 68279, 50992, 50981, 77557, 51986, 55416, 51325, 66699, 80024, 52623, 50938, 51986, 50938, 51621, 65922, 51986, 50795, 52354, 73841, 50838, 51190, 50815, 50304, 51535, 50872, 51535, 50992, 51535, 50909, 51535, 52623, 50924, 51039, 50972, 52679, 51073, 51783, 51073, 51768, 53021, 79614, 51783, 51472, 50432, 50945, 60175, 51079, 56644, 52679, 51446, 53357, 67839, 53284, 50905, 51180, 51867, 50297, 50905, 52914, 50911, 50449, 52561, 51158, 51955, 50892, 51190, 50815, 50304, 50981, 68100, 50992, 50981, 50909, 58667, 50945, 61467, 80024, 52914, 50879, 60506, 50844, 53596, 68393, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50909, 51535, 51125, 51535, 56042, 52266, 51039, 50972, 51768, 53021, 50905, 51783, 51055, 51986, 68175, 51096, 55675, 51079, 56644, 50437, 51986, 50805, 51783, 57581, 51096, 69561, 53284, 50905, 50443, 51986, 52815, 76677, 50972, 51783, 69451, 55412, 51090, 51955, 53021, 50905, 51986, 50924, 51783, 50924, 50455, 51986, 55416, 51096, 55675, 80024, 51783, 50893, 51621, 50844, 53870, 67839, 50838, 51190, 50815, 50311, 51535, 50939, 51535, 51125, 51535, 51298, 51535, 55412, 50893, 51986, 50893, 51783, 50936, 50419, 52623, 51566, 51039, 50972, 52914, 52392, 51555, 51157, 51768, 53021, 79614, 52623, 51364, 50432, 51105, 58493, 51079, 56644, 51555, 51661, 50438, 51105, 67839, 53284, 50905, 51180, 58179, 50972, 51382, 50844, 51892, 50939, 50974, 51647, 54622, 51105, 50938, 51125, 50905, 52198, 55249, 50844, 55563, 68393, 75327, 57245, 51535, 50979, 51535, 50992, 51535, 51039, 50972, 51752, 50879, 51768, 53021, 50905, 52161, 51736, 51325, 55675, 51079, 56644, 52161, 80223, 52161, 56282, 51325, 73841, 53284, 50905, 50443, 52161, 51218, 67345, 53284, 50972, 51955, 53021, 54509, 51325, 66699, 80024, 51621, 50844, 52534, 68393, 50838, 51190, 50815, 50308, 51535, 50847, 51535, 50939, 51535, 50909, 51535, 51565, 51016, 51039, 50972, 51768, 53021, 50905, 52251, 51736, 50964, 60175, 51079, 56644, 51565, 51048, 56107, 73841, 53284, 50905, 50443, 51565, 52815, 50801, 50838, 51248, 50815, 50308, 50972, 51955, 50892, 51190, 50815, 50311, 50974, 51565, 50805, 50455, 51565, 51923, 50964, 60175, 80024, 50939, 50905, 53596, 69561, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50939, 51535, 51125, 51535, 51606, 51013, 51039, 50972, 50425, 51986, 50360, 50400, 51783, 51253, 51768, 53021, 50905, 52161, 57943, 51096, 69237, 51079, 56644, 52315, 50983, 50437, 51986, 61636, 51096, 68393, 53284, 50905, 51783, 50980, 51180, 77792, 78876, 51986, 51055, 51783, 51048, 51955, 50892, 51190, 50815, 50302, 50981, 68100, 50992, 50981, 50939, 50981, 51125, 58667, 51096, 69237, 80024, 60506, 65922, 51783, 50937, 51986, 50873, 53870, 67839, 50838, 51190, 50815, 50295, 51535, 50847, 51535, 50939, 51535, 51125, 51535, 51298, 51535, 50419, 52623, 51056, 51039, 50972, 51555, 51112, 51768, 53021, 79614, 52623, 57345, 51105, 66699, 51079, 56644, 51555, 57222, 51105, 67839, 53284, 50905, 51180, 57769, 50972, 51955, 50892, 51190, 50815, 50314, 56711, 51105, 55675, 80024, 51125, 50905, 60506, 50844, 55563, 68393, 50838, 51190, 50815, 50300, 51535, 50885, 51535, 50979, 51535, 50992, 51535, 50909, 51535, 50419, 52161, 50893, 51039, 50972, 51768, 53021, 50905, 52161, 56632, 51325, 55675, 51079, 56644, 52161, 60592, 51325, 69561, 53284, 50905, 52161, 50977, 50443, 52161, 51295, 67345, 50838, 51248, 50815, 50300, 50905, 51955, 50892, 51190, 50815, 50304, 50981, 68279, 50992, 50981, 50909, 58667, 51325, 69237, 80024, 52534, 68393, 50838, 51190, 50815, 50304, 51535, 50868, 51535, 50847, 51535, 50939, 51535, 50909, 51535, 51565, 51157, 51039, 50972, 50425, 52251, 50805, 51768, 53021, 54342, 50964, 61467, 51079, 56644, 51565, 51016, 56107, 67839, 53284, 50905, 51180, 50972, 51565, 50879, 51955, 53021, 50905, 51565, 59132, 50964, 60175, 80024, 51565, 50795, 53596, 73841, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50939, 51535, 51125, 51535, 51606, 50924, 50419, 52161, 51048, 51039, 50972, 50425, 51783, 51109, 51768, 53021, 50905, 51986, 51346, 50432, 51096, 55675, 51079, 56644, 52315, 51623, 50437, 51986, 76094, 51096, 68393, 53284, 50905, 51783, 51345, 67345, 50838, 51248, 50815, 50309, 50972, 50449, 51783, 51013, 51986, 51290, 51955, 50892, 51190, 50815, 50312, 56711, 51096, 55675, 80024, 50939, 77197, 51783, 50893, 51986, 50893, 53870, 68393, 50838, 51190, 50815, 50311, 51535, 50939, 51535, 51125, 51535, 51298, 51535, 50419, 52623, 50943, 51555, 50943, 51039, 50972, 51768, 53021, 79614, 52623, 51141, 51555, 70303, 51105, 66699, 56975, 54938, 51105, 68393, 53284, 50905, 50443, 51752, 50806, 51180, 50972, 50449, 52161, 50879, 51955, 53021, 54509, 51105, 69237, 80024, 51752, 50879, 60506, 50844, 55563, 73841, 50838, 51190, 50815, 50300, 51535, 50885, 51535, 50979, 51535, 50992, 51535, 50909, 51535, 51606, 50879, 51039, 50972, 51752, 51073, 50425, 51783, 51290, 51768, 53021, 50905, 51986, 51048, 50431, 52161, 51364, 50432, 51325, 61467, 51079, 56644, 50437, 51986, 58818, 51325, 68393, 53284, 50905, 51783, 50952, 50443, 51986, 60021, 50801, 50838, 51248, 50815, 50304, 50972, 51783, 50924, 50449, 51783, 50924, 51955, 50892, 51190, 50815, 50307, 50974, 51986, 51030, 50455, 51783, 51030, 51986, 56210, 51325, 66699, 80024, 50992, 77197, 51783, 50911, 51986, 50893, 52354, 69561, 50838, 51190, 50815, 50304, 51535, 50872, 51535, 50992, 51535, 50909, 51535, 50419, 52679, 51073, 51039, 50972, 51783, 51056, 51768, 53021, 79614, 51783, 51218, 50432, 50945, 60175, 51079, 56644, 52679, 51141, 53357, 67839, 53284, 50905, 50443, 52161, 50806, 51180, 60925, 50972, 51955, 50892, 51190, 50815, 50309, 50974, 51606, 55764, 50945, 66699, 80024, 50992, 50905, 52161, 50879, 51621, 65922, 51673, 51585, 53596, 67839, 50838, 51190, 50815, 50309, 51535, 50992, 51535, 50939, 51535, 51125, 51535, 51039, 50972, 51768, 53021, 50905, 51783, 51112, 51986, 68178, 51096, 60175, 51079, 56644, 50437, 51783, 50924, 51986, 55122, 51096, 69561, 53284, 50905, 50443, 51783, 50924, 51986, 50879, 51180, 50972, 50449, 51783, 50924, 51955, 53021, 50905, 51986, 50924, 51827, 51055, 50455, 51783, 55764, 51096, 66699, 80024, 51986, 50805, 53870, 69561, 50838, 51190, 50815, 50295, 51535, 50979, 51535, 50847, 51535, 50939, 51535, 51298, 51535, 51783, 50938, 51986, 50805, 51827, 50879, 50419, 51555, 50889, 52161, 51896, 51039, 50972, 52623, 51346, 51768, 53021, 79614, 51555, 70303, 51105, 66699, 51079, 56644, 52623, 71378, 51105, 73841, 53284, 50905, 54141, 50907, 52066, 51751, 50905, 52612, 50907, 51382, 50844, 51892, 68279, 65704, 50939, 50981, 51647, 54622, 51105, 57370, 53330, 50844, 55563, 69561, 55559, 57245, 51535, 50979, 51535, 50992, 51535, 51039, 50972, 51752, 50879, 51768, 53021, 50905, 52161, 51736, 51325, 58493, 51079, 56644, 52161, 80223, 52161 ]

[ 0, 250, 8787, 5175, 8, 3152, 24904, 2125, 6, 5378, 16364, 19, 1007, 8, 13363, 28191, 34879, 4, 11281, 25654, 8, 81, 9756, 29589, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 3459, 8, 38668, 9590, 4, 20, 6755, 12547, 3639, 10, 25306, 2842, 7, 5, 15229, 4, 8504, 11, 211, 3694, 8, 6780, 10, 20902, 12447, 1001, 20889, 6, 24, 30853, 19, 10, 33215, 16739, 9, 272, 73, 387, 6, 230, 119, 1176, 406, 6, 83, 73, 347, 10431, 6, 8, 211, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50450, 52776, 50833, 51699, 58229, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 56054, 52907, 50833, 51887, 50833, 50799, 52776, 52250, 51699, 52250, 50796, 50796, 55746, 52776, 78787, 51887, 53720, 51699, 52788, 51887, 55608, 52830, 53086, 51887, 52985, 52776, 50833, 51699, 58229, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 56054, 52907, 50833, 51887, 50833, 50799, 52776, 51080, 52776, 52250, 51699, 52250, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 54333, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 52371, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 55528, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 52371, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52776, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 52371, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 78936, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 51699, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 78936, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 51699, 51080, 50843, 56104, 53624, 50843, 54823, 50843, 56104, 53581, 50843, 50912, 50799, 52065, 51080, 50843, 56104, 50838, 52399, 54325, 50843, 56104, 53052, 50843, 54793, 51154, 51283, 50843, 56104, 53624, 50843, 54823, 52776, 50833, 51699, 56613, 56104, 59354, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 56613, 58247, 52907, 50833, 51887, 50833, 67378, 50838, 51088, 50838, 51357, 50838, 52776, 52250, 51699, 52250, 52776, 51801, 50843, 56104, 54177, 51251, 50838, 51088, 50838, 51357, 55468, 54325, 50843, 56104, 53052, 51251, 50838, 51088, 50838, 51357, 55468, 54793, 51251, 50838, 51088, 50838, 51357, 55468, 56104, 53624, 51251, 50838, 51088, 50838, 51357, 55468, 54823, 50843, 56104, 53581, 51251, 50838, 51088, 50838, 51357, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51093, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51093, 55468, 54823, 50843, 56104, 53581, 51301, 50838, 51088, 50838, 51093, 55468, 50912, 70526, 50838, 51088, 50838, 51107, 55468, 56104, 54177, 51154, 50838, 51088, 50838, 51107, 55468, 54325, 50843, 56104, 53052, 51154, 50838, 51088, 50838, 51107, 55468, 54793, 51154, 50838, 51088, 50838, 51107, 55468, 56104, 53624, 51154, 50838, 51088, 50838, 51107, 55468, 54823, 50843, 56104, 53581, 51154, 50838, 51088, 50838, 51107, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51113, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51113, 55468, 54823, 52776, 50833, 51699, 56613, 56104, 59354, 53623, 50833, 52316, 53920, 52776, 50833, 51699, 50833, 51301, 50838, 51088, 50838, 51113, 55468, 58247, 52907, 50833, 51887, 50833, 67378, 50838, 51088, 50838, 51357, 50838, 52776, 52250, 51699, 52250, 50843, 56104, 54177, 51251, 50838, 51088, 50838, 51357, 55468, 54325, 50843, 56104, 53052, 51251, 50838, 51088, 50838, 51357, 55468, 54793, 51251, 50838, 51088, 50838, 51357, 50838, 52776, 51801, 51926, 55856, 50843, 56104, 53624, 51251, 50838, 51088, 50838, 51357, 55468, 54823, 50843, 56104, 53581, 51251, 50838, 51088, 50838, 51357, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51093, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51093, 55468, 54823, 50843, 56104, 53581, 51301, 50838, 51088, 50838, 51093, 55468, 50912, 70526, 50838, 51088, 50838, 51107, 55468, 56104, 54177, 51154, 50838, 51088, 50838, 51107, 55468, 54325, 50843, 56104, 53052, 51154, 50838, 51088, 50838, 51107, 55468, 54793, 51154, 50838, 51088, 50838, 51107, 55468, 56104, 53624, 51154, 50838, 51088, 50838, 51107, 55468, 54823, 50843, 56104, 53581, 51154, 50838, 51088, 50838, 51107, 55468, 50912, 70321, 50838, 51088, 50838, 51093, 55468, 56104, 54177, 51301, 50838, 51088, 50838, 51093, 55468, 54325, 50843, 56104, 53052, 51301, 50838, 51088, 50838, 51093, 55468, 54793, 51301, 50838, 51088, 50838, 51093, 55468, 56104, 53624, 51301, 50838, 51088, 50838, 51093, 55468, 54823, 50843, 56104, 53581, 51301, 50838, 51088, 50838, 51093, 55468, 50912, 50799, 71464, 50827, 51165, 50838, 51395, 50838, 51182, 50838, 52481, 62726, 56104, 60123, 70417, 53004, 50741, 50338, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 56779, 50741, 50345, 52580, 50741, 50343, 50827, 52776, 62726, 56104, 58125, 50741, 50338, 52739, 70417, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 57455, 68816, 52788, 71464, 50827, 51165, 50838, 51395, 50838, 51182, 50838, 52481, 62726, 56104, 58978, 70417, 53086, 50741, 50338, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 58068, 50741, 50345, 52989, 50741, 50343, 50827, 52776, 62726, 56104, 59354, 50741, 50338, 53176, 70417, 50827, 51165, 50838, 51395, 50838, 51182, 55468, 58247, 68816, 50827, 50799, 71464, 50827, 51165, 50838, 51201, 50838, 51284, 50838, 51887, 62726, 56104, 60123, 70417, 53004, 50741, 50338, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 56779, 50741, 50345, 52580, 50741, 50343, 50827, 51699, 51592, 50843, 56104, 58125, 50741, 50338, 52739, 70417, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 57455, 68816, 52788, 71464, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 56104, 58978, 70417, 53086, 50741, 50338, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 58068, 50741, 50345, 52989, 50741, 50343, 57729, 56104, 59354, 50741, 50338, 53176, 70417, 50827, 51165, 50838, 51201, 50838, 51284, 55468, 58247, 68816, 50827, 78936, 75034, 51801, 51395, 51801, 51182, 51801, 51394, 51801, 50426, 51699, 66405, 51299, 51592, 54458, 50438, 51154, 51080, 50461, 50631, 67156, 51330, 51188, 51330, 51188, 50932, 51245, 51330, 51245, 50932, 51746, 51330, 51746, 50932, 50415, 51063, 51330, 51075, 51330, 51211, 51330, 51854, 65184, 51263, 51079, 51188, 51079, 51245, 51079, 50439, 51063, 51753, 51075, 51753, 51211, 51753, 50444, 51969, 51330, 51188, 51330, 51188, 50932, 51823, 50932, 51323, 50932, 51478, 50932, 50445, 51473, 51330, 51075, 73786, 51263, 51079, 51188, 51079, 51188, 50838, 51245, 50838, 51746, 67590, 51063, 51753, 51075, 51753, 67156, 51330, 51188, 51330, 51188, 50932, 51245, 50932, 51746, 50932, 50415, 51063, 51330, 51075, 64396, 51263, 66744, 51498, 51079, 51347, 51079, 51497, 51079, 50439, 51222, 51753, 51143, 51753, 51344, 51753, 50444, 51580, 51330, 51347, 51330, 51347, 50932, 51404, 50932, 51245, 50932, 51593, 50932, 51019, 50943, 50445 ]

[ 0, 250, 19448, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 13305, 483, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 231, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 1472, 9, 36474, 13005, 8, 22531, 4, 20, 33215, 16739, 9, 272, 6, 1918, 406, 6, 211, 6, 1918, 6, 8, 211, 3639, 7, 63, 32625, 13569, 9862, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54838, 50627, 54838, 66079, 51544, 50841, 51570, 59596, 50900, 55086, 52033, 55086, 52133, 54573, 51615, 52916, 50450, 51315, 52528, 50916, 53957, 51019, 52140, 53195, 51115, 50856, 60068, 50861, 65817, 51026, 52783, 51065, 50982, 50462, 50861, 52263, 50916, 54532, 70291, 50468, 50876, 51174, 53141, 50972, 51065, 51004, 50474, 50968, 51174, 53195, 66560, 50870, 50480, 50876, 65024, 50928, 50484, 51881, 55086, 53541, 53866, 50485, 51743, 52528, 54838, 51120, 52431, 50927, 52168, 52758, 51448, 51065, 53405, 51026, 54829, 50856, 53098, 50899, 51490, 50931, 51878, 51065, 53670, 50951, 51679, 50856, 61562, 52758, 56692, 51220, 51961, 51065, 53384, 51146, 51309, 51065, 64734, 51065, 58355, 51065, 75578, 52133, 62321, 54825, 58914, 52033, 55086, 51615, 52528, 50856, 53430, 51315, 52140, 51019, 52140, 52969, 51145, 50856, 53555, 50900, 53486, 51065, 50982, 50462, 50916, 51878, 51430, 51314, 70291, 50468, 51062, 51637, 51065, 51004, 50474, 51081, 51199, 53032, 78145, 50870, 50480, 50856, 50928, 50483, 50856, 51129, 50485, 50876, 51319, 52255, 52528, 54838, 50627, 51050, 52528, 50931, 51481, 51062, 51166, 50945, 52263, 51743, 55086, 51065, 57392, 53141, 52140, 53502, 53486, 50856, 62589, 50876, 51079, 53645, 51447, 50931, 50892, 51065, 53670, 50856, 65975, 51062, 51310, 50436, 51881, 52256, 53758, 51576, 51065, 65004, 51147, 51108, 50442, 72483, 50444, 51065, 59265, 50876, 57299, 50627, 50968, 52460, 51026, 52980, 50953, 52140, 51615, 59828, 52033, 56004, 53195, 69168, 65024, 60068, 52133, 57598, 72407, 51387, 51065, 50982, 50462, 50968, 51797, 50951, 51852, 50916, 71395, 51166, 52758, 51310, 70291, 50468, 50900, 51432, 51065, 51004, 50474, 50916, 52511, 50323, 51852, 50856, 50928, 50475, 50861, 52454, 50332, 52460, 50479, 53032, 51797, 50480, 50900, 51697, 50856, 51004, 54838, 51026, 52980, 50953, 52431, 54890, 51709, 51065, 55623, 52431, 50415, 51487, 51576, 51062, 52378, 53502, 51703, 50426, 50968, 51884, 50861, 53131, 50323, 51753, 51065, 68713, 50916, 55002, 53032, 51172, 58319, 52059, 50436, 55625, 51319, 50437, 52758, 56006, 50876, 52034, 51065, 65004, 53195, 51411, 50444, 50951, 55437, 50627, 51026, 51939, 50876, 51753, 50931, 51074, 50953, 52140, 51743, 52916, 53389, 51703, 52133, 51490, 50856, 69232, 52758, 51677, 72407, 53697, 51065, 68716, 50877, 53693, 50318, 51166, 50462, 50871, 51490, 70291, 50463, 50876, 66257, 50838, 50468, 50899, 53010, 50902, 51166, 51065, 51004, 50474, 51086, 53126, 50315, 51481, 53541, 56374, 51881, 51961, 50856, 50870, 50480, 50861, 55778, 50899, 54298, 50902, 51432, 51065, 50928, 50481, 51065, 51004, 50483, 51065, 51129, 50485, 52033, 52916, 50856, 50928, 54838, 50876, 52216, 50292, 52916, 50964, 52431, 53817, 55776, 53032, 52916, 51321, 57392, 52133, 56329, 55902, 53186, 50299, 53486, 50426, 50968, 53957, 50876, 52048, 50900, 52147, 62204, 51679, 50439, 50951, 51333, 50449, 52133, 54270, 50450, 50628, 51085, 51314, 50951, 51709, 51430, 51709, 50964, 52168, 51207, 52431, 51924, 50849, 52033, 53678, 51615, 51922, 50801, 51254, 63012, 51026, 51703, 50457, 51334, 50849, 50462, 50916, 54532, 51062, 52188, 50968, 52996, 50998, 50932, 51842, 50463, 51209, 52069, 50474, 51085, 78181, 52056, 50986, 51333, 51960, 54838, 51315, 51080, 50951, 51199, 51019, 51878, 51574, 52598, 59193, 53070, 51026, 52136, 50861, 51884, 51207, 53280, 58539, 50425, 51615, 51333, 51656, 52397, 53523, 51490, 50876, 52059, 50929, 51333, 51842, 58319, 72895, 51254, 68104, 51209, 65668, 51711, 52727, 52332, 51466, 60496, 61579, 52845, 50310, 51709, 51114, 51079, 51105, 51576, 51078, 51797, 50947, 51642, 51334, 51267, 51960, 75795, 70444, 54887, 50449, 51743, 52916, 50450, 51120, 51447, 50931, 50838, 50927, 51080, 50947, 51108, 74376, 51334, 51692, 50801, 51254, 63012, 50877, 52845, 50301, 55002, 59526, 50462, 67939, 50900, 52263, 51444, 52441, 51842, 50467, 50871, 51965, 50468, 50931, 50892, 50960, 51333, 58539, 50474, 50999, 51212, 50947, 51806, 51960, 50479, 51444, 51481, 50480, 51062, 50838, 50927, 51174, 67627, 50484, 51881, 52916, 52187, 52916, 50485, 51026, 51806, 51615, 52916, 54838, 50902, 52188, 51220, 51312, 50953, 51680, 51207, 52015, 51076, 51108, 51590, 51591, 59193, 53070, 51120, 58468, 50960, 52136, 56947, 51490, 50973, 52378, 50951, 51466, 50970, 51330, 63423, 50902, 52056, 50899, 54590, 50311, 51166, 50960, 53697, 51960, 58365, 72170, 68510, 54887, 50447, 51743, 57771, 50448, 51656, 57820, 50449, 52133, 53866, 50450, 51120, 51490, 50877, 51576, 50931, 51852, 50927, 51680, 51444, 52528, 51893, 58679, 51254, 63012, 51027, 51387, 51131, 55586, 59526, 50457, 51924, 51295, 50462, 50871, 53096, 51027, 53892, 50876, 52188, 50947, 51148, 51842, 50468, 50960, 51470, 58539, 50473, 50970, 51333, 50474, 50931, 51753, 51027, 52996, 50871, 53697, 50877, 53024, 51960, 50480, 51062, 51079, 50960, 52063, 51390, 53021, 51258, 50485, 53541, 53866, 54838, 51214, 52916, 50931, 53126, 50327, 51466, 50953, 52168, 51444, 51592, 51229, 51145, 59193, 64159, 51120, 53486, 50420, 51207, 52783, 50791, 54953, 51026, 51447, 50861, 51387, 50929, 51447, 70767, 50973, 52192, 51076, 51318, 50437, 52187, 52256, 57019, 52845, 50315, 73790, 53697, 50960, 51333, 51960, 50444, 50902, 51079, 51590, 61098, 68510, 54887, 50449, 51656, 52528, 50450, 51085, 52511, 50310, 51074, 50964, 51680, 51725, 51080, 52133, 57771, 52332, 53866, 50801, 51254, 51468, 50451, 51229, 51692, 50456, 51027, 53486, 50956, 58468, 50877, 51074, 51131, 50932, 59526, 50462, 51114, 52104, 50292, 52147, 50876, 51079, 50986, 51380, 51842, 50468, 50999, 52104, 50319, 51079, 51078, 50987, 58539, 50473, 51078, 51466, 50474, 51062, 52216, 50322, 52048, 50986, 52188, 51960, 50480, 51814, 50838, 51131, 57948, 51258, 50484, 51207, 54573, 51615, 52916, 50485, 50986, 52140, 52033, 60237, 54838, 51062, 53130, 50292, 54573, 51487, 51058, 50964, 51680, 50998, 52431, 59193, 53070, 51430, 51142, 50951, 51142, 58539, 50421, 51026, 52782, 50426, 50968, 52056, 51062, 52048, 50900, 77429, 50308, 54071, 70767, 51026, 51737, 58539, 55203, 52518, 50951, 68186, 53010, 50876, 51333, 51960, 50444, 51026, 53010, 50852, 56926, 54887, 50448, 52225, 53866, 50450, 50876, 52048, 50964, 52168, 51725, 51680, 51924, 51159, 51615, 52916, 51711, 65527, 50801, 51254, 51468, 50451, 51085, 55086, 50916, 51576, 51453, 51004, 50462, 73487, 65735, 51026, 51703, 51207, 50932, 51390, 51267, 51842, 50468, 58539, 50474, 50916, 52454, 50304, 54590, 50316, 51330, 50986, 51806, 51334, 51003, 51960, 50479, 51207, 51277, 50480, 67627, 50484, 52137, 51703, 50485, 52033, 51447, 54838, 51315, 52059, 50951, 50932, 51019, 51878, 51574, 51145, 51209, 51183, 59193, 64159, 51207, 51283, 56978, 56563, 50861, 52188, 58539, 53523, 51679, 50876, 51312, 50986, 50932, 51842, 58319, 52256, 50951, 51006, 50929, 52518, 58539, 50436, 52402, 52256, 50437, 51711, 54211, 51615, 76555, 51197, 52845, 50307, 51738, 50906, 51806, 51001, 52996, 51105, 51484, 52562, 50932, 51334, 51267, 51960, 56960, 56926, 54887, 50450, 51120, 52431, 50902, 70713, 73336, 51884, 50927, 51080, 51444, 51592, 51615, 57598, 51881, 52528, 52187, 52916, 50801, 51254, 51468, 50451, 51590, 51486, 71136, 51447, 50960, 52063, 59526, 50462, 80235, 64387, 51842, 50467, 51311, 50972, 50468, 50902 ]

[ 0, 250, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 21072, 6, 8, 6755, 12547, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 8325, 163, 5683, 4, 20, 16331, 33215, 16739, 9, 272, 6, 3676, 6, 1918, 6, 163, 119, 6, 8, 230, 6670, 10, 19448, 5466, 6, 7630, 14805, 6453, 9, 657, 1328, 5, 2125, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 63133, 51359, 54160, 51692, 51711, 73447, 52536, 50791, 57908, 50986, 51749, 50791, 56389, 50998, 51309, 50816, 52153, 50914, 50832, 50376, 60084, 60825, 50929, 65295, 50998, 51328, 54747, 51212, 52187, 51333, 50791, 58705, 50986, 51008, 59521, 74812, 50813, 65309, 51307, 53930, 51422, 51656, 73506, 51605, 50791, 57908, 51131, 51749, 50791, 56389, 50986, 51797, 50816, 53417, 50914, 50832, 50376, 60084, 60825, 50998, 55437, 73248, 53968, 64389, 50943, 60533, 51310, 50960, 51419, 50970, 51115, 50947, 51318, 54380, 51047, 51838, 63346, 51605, 50791, 50943, 51544, 56389, 51574, 51310, 50998, 51381, 50929, 51141, 53631, 51145, 52225, 52015, 50816, 52153, 50914, 50832, 50955, 52819, 51524, 52320, 50943, 53462, 50813, 58700, 51310, 71932, 50947, 51391, 51032, 51477, 53930, 51183, 52036, 72213, 58101, 50943, 52389, 55859, 56389, 51207, 51253, 50929, 51148, 51076, 51103, 51067, 51183, 56072, 51145, 52137, 51145, 50816, 51420, 50914, 50832, 50376, 60084, 51126, 52129, 51112, 52320, 50943, 63133, 51359, 54160, 51452, 51711, 51662, 50798, 51605, 50791, 57908, 50986, 51878, 50791, 56389, 50998, 51309, 50816, 58101, 50914, 50832, 50376, 60084, 60825, 50929, 55125, 50998, 51233, 54747, 51242, 52187, 58880, 58705, 70899, 59521, 51481, 50798, 50810, 65309, 51293, 53930, 51422, 51656, 69565, 51605, 50791, 57908, 51131, 51535, 50791, 56389, 50986, 51797, 50816, 55110, 50914, 50832, 50376, 60084, 60825, 50998, 66809, 64268, 53968, 64389, 50943, 60533, 51310, 50960, 51679, 50998, 50904, 50970, 51295, 50947, 51310, 54380, 51183, 51711, 63346, 51605, 50791, 50943, 51544, 56389, 51574, 51391, 50998, 51961, 50929, 51241, 51076, 51391, 53631, 51448, 50816, 52189, 50914, 50832, 50376, 60084, 60825, 52225, 51283, 52320, 50943, 53462, 50808, 58700, 51351, 78349, 50947, 51134, 51032, 51419, 53631, 51126, 53930, 51127, 52225, 51126, 52036, 51244, 50791, 50943, 57087, 50808, 52389, 51541, 50791, 56389, 51207, 51400, 50929, 51080, 51076, 51047, 51067, 51535, 56072, 51244, 52137, 51148, 50816, 52189, 50914, 50832, 50376, 60084, 51126, 52129, 51048, 52320, 50943, 63133, 51446, 54160, 52069, 51711, 52720, 50798, 52536, 50791, 50943, 51544, 57421, 50986, 51253, 50438, 50998, 51203, 50929, 60150, 50816, 52153, 50914, 50832, 50376, 60084, 60825, 51725, 51591, 50450, 50986, 53021, 58705, 53631, 54788, 50813, 61080, 50982, 50998, 51675, 50929, 51623, 54747, 73447, 51605, 50791, 50943, 51544, 56389, 51725, 51183, 50816, 53417, 56157, 50986, 51709, 53631, 67426, 50998, 51043, 54747, 79886, 58705, 65712, 60533, 51397, 53133, 68835, 51605, 50791, 50943, 51544, 57421, 50960, 61417, 50970, 51381, 50816, 52153, 56157, 51444, 66336, 50947, 66741, 58705, 50960, 56001, 50813, 51528, 58101, 60413, 78349, 53930, 55035, 51444, 51241, 56072, 51637, 50798, 55859, 57421, 50947, 54137, 50970, 64989, 51420, 56157, 51444, 51310, 53930, 71058, 68390, 50960, 51124, 56072, 67248, 58705, 50970, 51314, 63133, 51446, 54160, 78711, 51605, 50791, 50943, 51544, 57421, 50986, 51253, 50438, 50998, 51203, 50929, 60150, 54747, 51878, 50816, 58101, 56157, 51725, 51591, 50450, 50986, 53021, 58705, 53631, 56777, 50810, 61080, 50982, 50998, 51675, 50929, 51623, 54747, 54923, 51605, 50791, 60413, 54747, 51183, 51544, 56389, 51725, 51183, 50816, 55110, 56157, 50986, 51709, 53631, 54323, 50998, 51043, 54747, 56901, 58705, 65712, 60533, 51397, 53133, 73332, 51605, 50791, 50943, 51544, 57421, 50960, 61417, 50970, 51381, 50816, 52189, 56157, 51444, 66336, 50947, 66741, 58705, 50960, 50914, 53930, 50959, 58471, 50799, 56072, 55601, 60413, 78349, 56072, 73323, 52450, 51444, 68539, 51541, 50791, 57421, 77458, 56072, 51412, 50438, 50970, 64989, 52189, 56157, 51444, 51310, 53930, 58878, 63112, 50960, 51124, 56072, 73844, 58705, 50970, 51314, 63133, 52392, 54160, 52069, 50798, 67613, 51605, 50791, 59348, 50943, 51544, 59348, 57421, 50986, 51233, 50438, 50998, 56949, 59958, 58101, 55859, 56157, 50929, 59881, 50986, 63238, 59348, 58705, 68533, 53631, 54788, 53197, 50810, 63133, 50918, 50929, 50863, 54747, 73447, 51605, 50791, 60413, 50986, 66038, 50998, 54265, 57421, 50929, 71380, 51725, 51183, 50816, 55110, 56157, 50986, 51203, 53631, 67426, 68583, 54747, 79886, 58705, 63614, 60533, 51535, 69432, 53133, 68835, 51605, 50791, 50943, 51544, 57421, 50960, 73143, 50970, 71939, 52189, 56157, 50947, 52985, 51444, 51562, 50791, 58705, 50960, 50914, 53930, 51277, 58471, 50461, 56072, 51309, 53028, 60413, 64837, 53930, 55759, 52450, 50947, 51255, 56072, 59401, 51541, 50791, 57421, 50960, 59290, 51444, 51194, 50816, 52189, 56157, 51574, 51013, 61655, 50908, 53968, 63732, 51048, 52320, 50943, 58700, 51353, 72312, 50970, 51562, 50947, 51749, 62985, 60922, 51605, 50791, 50943, 51544, 56389, 50986, 51351, 50816, 58101, 56157, 50970, 54356, 50947, 64389, 58705, 50970, 64843, 50810, 60533, 52151, 50960, 51591, 53133, 60922, 51605, 50791, 50943, 51544, 56389, 50816, 55110, 56157, 66805, 60706, 72057, 50450, 50947, 54068, 50943, 61108, 51446, 50929, 51294, 55539, 64391, 51605, 50791, 77659, 78264, 51076, 66010, 51067, 59330, 57421, 51076, 54014, 51504, 51145, 69916, 62985, 51183, 50816, 52189, 72807, 51241, 50444, 50947, 68324, 51032, 51412, 50791, 58705, 78962, 58471, 65962, 51244, 50998, 51241, 61655, 69601, 77659, 51241, 50420, 50929, 79317, 52450, 51076, 73323, 51541, 50791, 57421, 50929, 54014, 51444, 51283, 70642, 50998, 50835, 53133, 51417, 50816, 52189, 72807, 51377, 50444, 50970, 53656, 63112, 50947, 54265, 58705, 65740, 60533, 51591, 53133, 52919, 50798, 51605, 50791, 50943, 51544, 57421, 50960, 68535, 50970, 51111, 50947, 79871, 58101, 56157, 50960, 51377, 50450, 51444, 79000, 58705, 51169, 50952, 50947, 51896, 53930, 53835, 50810, 50799, 56072, 54784, 51605, 50791, 60413, 53930, 53881, 56072, 51562, 50791, 57421, 51444, 71442, 50960, 63591, 55110, 56157, 63852, 64748, 51364, 50450, 50947, 54881, 50943, 65309, 51358, 53930, 51991, 50798, 51605, 50791, 50943, 51769, 53295, 51544, 56389, 51131, 50866, 80149, 50998, 73135, 52189, 56157, 51131, 68031, 52012, 79000, 58705, 53968, 50987, 58471, 69683, 50836, 50998, 51933, 53930, 54042, 60413, 53968, 54897, 52450, 53930, 59564, 51541, 50791, 56389, 50816, 52189, 56157, 52012, 51377, 54747, 66713, 63112, 51131, 63490, 58705, 73065, 60533, 51358, 53133, 51714, 54747, 54897, 51605, 50791, 50943, 51544, 57421, 50960, 53913, 72589, 50947, 72819, 58101, 56157, 50960, 65029, 51444, 51267, 51574, 55325, 58705, 76079, 50947, 51013, 53930, 60623, 50810, 60533, 51697, 50960, 50891, 56072, 59810, 51605, 50791, 50943, 57761, 51159, 53930, 52921, 51444, 51048, 56072, 51295, 50791, 57421, 50970, 57269, 51157, 62434, 55110, 56157, 69086, 64748, 79961, 50970, 60181, 50943, 65309, 51358, 53930, 67613, 51605, 50791, 50943, 51769, 52644, 51544, 56389, 74975, 50986, 50942, 50998, 59140, 52189, 56157, 51131, 51194, 50986, 54939, 52012, 51562, 50791, 58705, 51131, 50891, 76338, 50998, 51294, 53968, 57685, 50808, 50799, 53930, 56879, 60413, 51131, 50943, 53968, 54784, 52450, 52012, 50918, 53930, 63968, 51541, 50791, 57421, 50986, 60315, 50816, 52189, 56157, 51131, 55732, 63112, 50960, 75263, 58705, 53930, 50813, 54747, 51008, 60533, 51896, 53133, 52062, 50798, 51605, 50791, 50943, 51544, 57421, 50960 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 6, 42, 765, 2214, 16, 278, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 21436, 163, 5683, 4, 20, 38668, 483, 1239, 5, 8036, 6, 7513, 30, 10, 6755, 12547, 6, 3459, 13305, 6, 18558, 6, 8, 21072, 6, 2351, 10, 11299, 8, 2829, 2933, 5466, 4, 20, 33215, 16739, 9, 272, 6, 3676, 6, 163, 119, 6, 272, 6, 8, 3676, 4620, 5, 46336, 24456, 9, 5, 2125, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 52428, 52054, 53187, 50907, 52143, 51717, 51299, 51717, 51088, 51717, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 66840, 77993, 50827, 52042, 64772, 53187, 50907, 62325, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 62325, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50907, 57210, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 62325, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 57210, 77993, 50827, 52042, 64772, 53187, 50907, 66840, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 57210, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 66840, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50984, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50984, 62700, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50984, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50984, 66840, 77993, 50827, 52042, 64772, 53187, 50984, 62700, 77907, 50827, 52401, 51820, 50852, 53187, 50984, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50984, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50984, 62700, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50984, 57210, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50984, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50984, 62700, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50984, 57210, 77993, 50827, 52042, 64772, 53187, 50984, 66840, 77907, 50827, 52401, 51820, 50852, 53187, 50984, 62700, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50984, 57210, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50984, 66840, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 61531, 61531, 53187, 50907, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 66840, 77993, 50827, 52042, 64772, 53187, 50907, 62325, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 62325, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53187, 50907, 57210, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50907, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53187, 50907, 62325, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50907, 57210, 77993, 50827, 52042, 64772, 53187, 50907, 66840, 77907, 50827, 52401, 51820, 50852, 53187, 50907, 62325, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53187, 50907, 57210, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50907, 66840, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53825, 50358, 50954, 50984, 66840, 50800, 51402, 50827, 52401, 51835, 50852, 53187, 50984, 62700, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53825, 50360, 50954, 50984, 57210, 50800, 52042, 73231, 50827, 52401, 51628, 50852, 53187, 50984, 66840, 77993, 50827, 52042, 64772, 53825, 50362, 50954, 50984, 62700, 77907, 50827, 52401, 51820, 50852, 53187, 50984, 57210, 50800, 52042, 50800, 51618, 50827, 52401, 51757, 52428, 51597, 53825, 77340, 50984, 66840, 50800, 52042, 75083, 50827, 52401, 51754, 50852, 53187, 50984, 62700, 50800, 52401, 50800, 51621, 50827, 52042, 50800, 51528, 53825, 54159, 50984, 57210, 50800, 51402, 50827, 52401, 51835, 50816, 68193, 53187, 50984, 66840, 50800, 52042, 50800, 51510, 50827, 52389, 57446, 53825, 56706, 50984, 62700, 50800, 52042, 73231, 50827, 52401, 51628, 50816, 58188, 53187, 50984, 57210, 77993, 50827, 52042, 64772, 53825, 78409, 53187, 50984, 66840, 52831, 50816, 53156, 50827, 52401, 51820, 50816, 55249, 53187, 50984, 62700, 50800, 52042, 52513, 50816, 54225, 50827, 52401, 51757, 52428, 51597, 53825, 67464, 53187, 50984, 57210, 50800, 52042, 52809, 50816, 54447, 50827, 52401, 51754, 50816, 56558, 53187, 50984, 66840, 50800, 52401, 52567, 50816, 51589, 50827, 52042, 50800, 65195, 50812, 52143, 76941, 51299, 76941, 51088, 76941, 66840, 52101, 50420, 62325, 71607, 57210, 52101, 50432, 66840, 51832, 50438, 62325, 51832, 50444, 57210, 51832, 50450, 66840, 51832, 50456, 62325, 51832, 50799, 53215, 68334, 51883, 68334, 51301, 68334, 57210, 51832, 50420, 76862, 65437, 62325, 65350, 57210, 62913, 76862, 65438, 62325, 66674, 57210, 66614, 76862, 51252, 50799, 52830, 50361, 50413, 51301, 50361, 50413, 51088, 65354, 66840, 63478, 62325, 58782, 58233, 60346, 66840, 59580, 62325, 62095, 58233, 60205, 66840, 62082, 62325, 51269, 50799, 51491, 59519, 56091, 64080, 60601, 58844, 62325, 55011, 56091, 55707, 60601, 57138, 62325, 55814, 56091, 56773, 60601, 51022, 50799, 52143, 58306, 51299, 58306, 51088, 58306, 66840, 59895, 62325, 57252, 57210, 57959, 66840, 58604, 62325, 60466, 57210, 59038, 66840, 56838, 62325, 50984, 50799, 53215, 55275, 51883, 55275, 51301, 55275, 57210, 55740, 76862, 55070, 62325, 55238, 57210, 56006, 76862, 54682, 62325, 54626, 57210, 55346, 76862, 50907, 50799, 52830, 55856, 51301, 55856, 51088, 53678, 66840, 54964, 62325, 54504, 58233, 55100, 66840, 54793, 62325, 54947, 58233, 54823, 66840, 55162, 62325, 50912, 50799, 51491, 52988, 56091, 54711, 60601, 53220, 62325, 54150, 56091, 50851, 52126, 50838, 52041, 54498, 60601, 50851, 51771, 50838, 51555, 56350, 62325, 50851, 52427, 50838, 51902, 54980, 56091, 50827, 52092, 50838, 51612, 56109, 60601, 50827, 52577, 50838, 52075, 50932, 50799, 52143, 52503, 51299, 52503, 51088, 52503, 66840, 50827, 52627, 50838, 52290, 57410, 62325, 52580, 57210, 52739, 66840, 52788, 62325, 53086, 57210, 54385, 66840, 54900, 62325, 50874, 50653, 50340, 50795, 50703, 50340, 50807, 50799, 53215, 52727, 51883, 52727, 51301, 52727, 57210, 50874, 50653, 50339, 50795, 50703, 50339, 53561, 76862, 53881, 62325, 54221, 57210, 54123, 76862, 53743, 62325, 53140, 57210, 53820, 76862, 50822, 50653, 50340, 50795, 50703, 50340, 50807, 50799, 52830, 53201, 51301, 53201, 51088, 51922, 66840, 50822, 59489, 50795, 67407, 53561, 62325, 52921, 58233, 53193, 66840, 53614, 62325, 53783, 58233, 54004, 66840, 54194, 62325, 50844, 50799, 51491, 51748, 56091, 54351, 60601, 53450, 62325, 52658, 56091, 50810, 52126, 50838, 52041, 54498, 60601, 50810, 51771, 50838, 51555, 56350, 62325, 50810, 52427, 50838, 51902, 54980, 56091, 50810, 52092, 50838, 51612, 56109, 60601, 50810, 52577, 50838, 52075, 50932, 50799, 52143, 51671, 51299, 51671, 51088, 51671, 66840, 50810, 52627, 50838, 52290, 57410, 62325, 53906, 57210, 53911, 66840, 54181, 62325, 54746, 57210, 54276, 66840, 54424, 62325, 50854, 54767, 50795, 54932, 50807, 50799, 53215, 51449, 51883 ]

[ 0, 250, 20902, 8, 15352, 30054, 1619, 3495, 2214, 4246, 10, 11577, 20535, 12547, 9, 17691, 28430, 6, 2724, 368, 31365, 25999, 6, 326, 5638, 18026, 6, 32909, 6, 8, 17465, 102, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 182, 1769, 20889, 9, 29546, 13410, 228, 2289, 8, 10, 132, 73, 306, 86, 6543, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 3676, 6, 1918, 6, 163, 406, 6, 3676, 6, 8, 1918, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50640, 50427, 53808, 51013, 51057, 54595, 51192, 50415, 51898, 50893, 54246, 51191, 52355, 51318, 53779, 75542, 56435, 51059, 55008, 51419, 62999, 59748, 53779, 53213, 53808, 52409, 51074, 50421, 52211, 50802, 53779, 51006, 50425, 51898, 78591, 53437, 61536, 50816, 54023, 50605, 50962, 50428, 52384, 51286, 51947, 51110, 52148, 51221, 50429, 53779, 64247, 50816, 61721, 52298, 50823, 52211, 50911, 50433, 53779, 52791, 57869, 53779, 58212, 51431, 50923, 50437, 51898, 51167, 54108, 51477, 52926, 51343, 52824, 51318, 51057, 50816, 50912, 50415, 53779, 50860, 50416, 63513, 51294, 50418, 52298, 52677, 65739, 52211, 50860, 53779, 61456, 51431, 51192, 72130, 63750, 51898, 71783, 52377, 50975, 53779, 64262, 53084, 50967, 52058, 51346, 50428, 51485, 56867, 66113, 52298, 55508, 52810, 53779, 57485, 50816, 60157, 52298, 50828, 51744, 53241, 53779, 58198, 51431, 51352, 50437, 56435, 51407, 54246, 51894, 52355, 52500, 51784, 51605, 59052, 53779, 55720, 61195, 53779, 60873, 50977, 50424, 51947, 50897, 52384, 50823, 52148, 50897, 51694, 50376, 56424, 57850, 50816, 50374, 56424, 54440, 50816, 51006, 50433, 53779, 51138, 50436, 51947, 51364, 52384, 51029, 52148, 51343, 51057, 50816, 51006, 50415, 53779, 51021, 61889, 51058, 53779, 51021, 50424, 52298, 55341, 51485, 52677, 51254, 50427, 53779, 65492, 51898, 58443, 51431, 74451, 51058, 53779, 52674, 53779, 57880, 51431, 51059, 56435, 51059, 52355, 51573, 51784, 51294, 51057, 51744, 50824, 54246, 51294, 50816, 50978, 50415, 53779, 60208, 53779, 55492, 53779, 50962, 50421, 50816, 75110, 53779, 50882, 50425, 52298, 68907, 51485, 50936, 52384, 50976, 51947, 51215, 52148, 59958, 50866, 53779, 63043, 53779, 52726, 51431, 52108, 62886, 51898, 50806, 53779, 61968, 53779, 58198, 52355, 51059, 51784, 51343, 52714, 51472, 50816, 59701, 51744, 51059, 55129, 52097, 51057, 51431, 51059, 50415, 50816, 50374, 56424, 50860, 67745, 62846, 50816, 51174, 53779, 51021, 50425, 51702, 51066, 52148, 56003, 51485, 50802, 51947, 51227, 50427, 52298, 50976, 53779, 55720, 61957, 50816, 64662, 51431, 50805, 51898, 51177, 53779, 51030, 57177, 50977, 50437, 54108, 51359, 52926, 51184, 52824, 51696, 51057, 51485, 50911, 63513, 51352, 50415, 52298, 50802, 53779, 51021, 62999, 50866, 50419, 51744, 72882, 51431, 51505, 50421, 53779, 54433, 50816, 51174, 50425, 51509, 64131, 51485, 50993, 52377, 50803, 53084, 50921, 50427, 52058, 50925, 53779, 50962, 63261, 60155, 53779, 50894, 50431, 50816, 53705, 51431, 50975, 51744, 51483, 50433, 53779, 50890, 57671, 64042, 53779, 64141, 52058, 70759, 51058, 51057, 52298, 50993, 51485, 51090, 52377, 50976, 53084, 51483, 50416, 53779, 50948, 50419, 50816, 51058, 50422, 53779, 72309, 50816, 50375, 56424, 50948, 50427, 52211, 50803, 52298, 72819, 50978, 50430, 53779, 53974, 51431, 50860, 51898, 74439, 50816, 59880, 53779, 50811, 57008, 61842, 51485, 50940, 53779, 50800, 51057, 79215, 52298, 50823, 63513, 51552, 50415, 52926, 51496, 52824, 51364, 50816, 51097, 50416, 54108, 51318, 53779, 72531, 53779, 74581, 53779, 50962, 50425, 51485, 51745, 52058, 50800, 52377, 50803, 53084, 50952, 53779, 51973, 52298, 58542, 53779, 56409, 59833, 53779, 56896, 50816, 56579, 53779, 52791, 59701, 51898, 50824, 52926, 51552, 53779, 50858, 51057, 51431, 51072, 56787, 51029, 54108, 51391, 50816, 57780, 53779, 60208, 50816, 55772, 53779, 77287, 50816, 63140, 53779, 51138, 50424, 52211, 63759, 61521, 52298, 51016, 52377, 50860, 53084, 51030, 52058, 50879, 77627, 58594, 53779, 50962, 72958, 56626, 53779, 50950, 57177, 51006, 50436, 51898, 51016, 52355, 53241, 54246, 51894, 51784, 51605, 53779, 79737, 51431, 50824, 56435, 51795, 51057, 53779, 59196, 50816, 55095, 50605, 54681, 50816, 51058, 53779, 65366, 51431, 51407, 51947, 50942, 52384, 51033, 52148, 50917, 53779, 70576, 51744, 51407, 77627, 50370, 56424, 50893, 72958, 63502, 50816, 59890, 53779, 66144, 52384, 51745, 51947, 51204, 52148, 51091, 50816, 51058, 51057, 53779, 59176, 53779, 64039, 50816, 53066, 53779, 50962, 50421, 50816, 55470, 53779, 65366, 65552, 50425, 52298, 58595, 51485, 50976, 50427, 53779, 52634, 64408, 53779, 55579, 51174, 50431, 51898, 70192, 51431, 51100, 50433, 53779, 51138, 50436, 52824, 51991, 50816, 50978, 50437, 52211, 50993, 63513, 52512, 52926, 53241, 54108, 51945, 51057, 52298, 51290, 50415, 53779, 50882, 50418, 53779, 50858, 50419, 50816, 62488, 50816, 50372, 56424, 53467, 52298, 51356, 50424, 53779, 65418, 51485, 51009, 52377, 50802, 53084, 50911, 52058, 51175, 50816, 61822, 50816, 50374, 56424, 70328, 53779, 59798, 51376, 50437, 53779, 54015, 50866, 51057, 56787, 51029, 50416, 53779, 50858, 50419, 50816, 50938, 53779, 52801, 51898, 50975, 53779, 58067, 51431, 50976, 52377, 52677, 50866, 53779, 54856, 53084, 50911, 52058, 51060, 50429, 53779, 50911, 50431, 52298, 68766, 53437, 50884, 53808, 51427, 50816, 50955, 50436, 55008, 51692, 54246, 51933, 52355, 51422, 50437, 51898, 51407, 56435, 51566, 53779, 54494, 51477, 59052, 54595, 51407, 50416, 53689, 64527, 52384, 63606, 63513, 51290, 53779, 52674, 52384, 50948, 50436, 51947, 50893, 52148, 53757, 61868, 50709, 50277, 50802, 53779, 50803, 51038, 50426, 53808, 59184, 54246, 51091, 52355, 51134, 50436, 55008, 51391, 50437, 56435, 51029, 51057, 54595, 50976, 51898, 51286, 53779, 52409, 50924, 50417, 53779, 52244, 53808, 50803, 52211, 52677, 50371, 56424, 75335, 50816, 51006, 50425, 51898, 68907, 53437, 50802, 52384, 50860, 51947, 50795, 52148, 74083, 53779, 50921, 67654, 64205, 52298, 50917, 52211, 52030, 50816, 61231, 53779, 56966, 50816, 51645, 50436, 52824, 51141, 50437, 51431, 50936, 51898, 51100, 63513, 51343, 54108, 51477, 52926, 51552, 53779, 50803, 51057, 52298, 69939, 53779, 71249, 52298, 68282, 52211, 55720, 51043, 50423, 53779, 78960, 51898, 51121, 51431, 51173, 50425, 52384, 50823, 52148, 51014, 51947, 57316, 52058, 54694, 51485, 52108, 54023, 50605, 50936, 50430, 52298, 57359, 50816, 50904, 57177, 50978, 50436, 51431, 51352, 51744, 51941, 56435, 51009, 53779, 57784, 54246, 51692, 52355, 51941, 51784, 51518, 61234, 53779, 54275, 50816, 51006, 50419, 53779, 55884, 50816, 51376, 53779, 50894, 50424, 52384, 50894, 51947, 50830, 52148, 63265, 53779, 50917, 67654, 60539, 53779, 62960, 52384, 51072, 52148, 51048, 51947, 51091, 50816, 51642, 51057, 53779, 57487, 50816, 51484, 50421, 53779, 50806, 50425, 52298, 50802, 51485, 61156, 53779, 50948, 50431, 51898, 51177, 51431, 64194, 65176, 53779, 66454, 51784, 51091, 52355, 51745, 54246, 72750, 61360, 51431, 50824, 51744, 54565, 50867, 51057, 56435, 51059, 50415, 53779, 50893, 50416, 50816, 66182, 50816, 59993, 53779, 52108, 51006, 50424, 52298, 65214, 51485, 51012, 51947, 50917, 52384, 50948, 52148, 50901, 50428, 53779, 53757, 50937, 50431, 51898, 51173, 51431, 51060, 57671, 50933, 53779, 50936, 50436, 51784, 51283, 50437, 51431, 51059, 51744, 51059, 55129, 51552, 52355, 51542, 52714, 51318, 61234, 50816, 51006, 53779, 50879, 63741, 51058, 53779, 63790, 52298, 50802, 51947, 50917, 51702, 50860, 52148, 50911, 53779, 52450, 51485, 60280, 50816, 51174, 53779, 70328, 51898, 51192, 51431, 77066, 53779, 51241, 57177, 51006, 50436, 52926, 52536, 52824, 51991, 50437, 52298, 51167, 63513, 52208, 54108, 51714, 51057, 51485, 50976, 62999, 51058, 50419 ]

[ 0, 713, 5175, 3495, 2214, 7630, 6568, 10, 19448, 8, 12298, 6711, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 15352, 30054, 11739, 9, 38668, 11212, 6, 13305, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 8, 3551, 139, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 163, 428, 401, 6, 274, 119, 401, 6, 272, 406, 6, 12608, 6, 8, 12608, 119, 6, 1271, 7, 63, 32625, 8, 17627, 17274, 13569, 9862, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 66243, 51526, 51936, 50302, 50893, 54908, 72502, 56209, 52585, 78171, 55260, 52585, 78171, 55764, 51416, 72502, 50893, 68496, 54484, 50956, 54484, 51099, 51003, 51308, 51003, 51639, 58299, 51099, 51003, 51153, 51003, 51639, 56509, 51099, 51003, 51777, 51003, 51639, 57197, 51639, 50901, 51099, 50901, 51153, 55670, 51099, 51003, 51308, 51003, 51639, 51003, 52591, 51099, 50901, 51308, 50901, 51639, 55035, 51099, 51003, 51153, 51003, 51639, 60307, 51526, 51936, 50302, 50893, 54908, 72502, 50893, 51099, 51003, 51777, 51003, 51639, 60510, 52585, 78171, 55260, 52585, 78171, 50893, 51639, 51003, 51153, 51003, 51099, 59827, 51416, 72502, 50893, 68496, 54484, 50956, 54484, 51099, 51003, 51308, 51003, 51639, 58299, 51099, 51003, 51153, 51003, 51639, 56509, 51099, 51003, 51777, 51003, 51639, 57197, 51099, 50901, 77480, 51639, 55670, 51308, 51003, 51639, 51003, 51099, 51003, 52591, 51099, 50901, 51308, 50901, 51639, 55035, 51639, 51003, 51099, 51003, 51153, 60307, 51526, 51936, 50302, 50893, 54908, 72502, 50893, 51099, 51003, 51777, 51003, 51639, 60510, 52585, 78171, 54581, 52768, 52585, 78171, 54581, 68617, 51003, 51153, 51003, 51639, 59827, 51416, 72502, 54581, 50811, 50799, 59523, 51353, 56348, 51353, 56154, 51353, 52585, 52530, 50307, 51016, 52317, 50918, 52963, 50811, 51948, 51353, 51639, 51353, 51516, 51353, 51039, 52968, 55301, 63837, 54581, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 70606, 59165, 53903, 51453, 50811, 50799, 56348, 51183, 56154, 51183, 59523, 51183, 50742, 50329, 51003, 52585, 51696, 50956, 51696, 53146, 52299, 53903, 51039, 52968, 59635, 51003, 51829, 53694, 53903, 51361, 52952, 56348, 51003, 56154, 51003, 59523, 50901, 52317, 51599, 51156, 52940, 59523, 50901, 52317, 51331, 52768, 59917, 50901, 52977, 51812, 51156, 52884, 55443, 51003, 59523, 51003, 56699, 53651, 52317, 60837, 50811, 63065, 52530, 50305, 51016, 52963, 53213, 55443, 50901, 51859, 52744, 52968, 56154, 51692, 55301, 63837, 50893, 51676, 57439, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 70606, 59165, 53903, 51453, 50811, 50799, 50742, 50329, 50901, 55443, 51183, 56154, 51183, 59523, 51183, 52458, 51696, 51040, 51696, 53146, 51599, 51156, 53213, 50742, 50329, 50901, 53146, 51331, 52968, 59635, 51003, 51829, 53694, 53903, 51361, 52952, 59523, 51003, 56699, 51003, 55443, 51003, 56154, 51003, 52317, 52299, 53903, 51180, 52768, 59917, 50901, 52977, 51812, 51156, 52884, 54491, 53651, 59523, 51003, 55409, 51003, 52317, 52448, 50811, 54920, 79230, 51016, 52963, 53213, 55443, 50901, 51859, 51331, 52968, 56154, 51692, 55409, 51692, 55301, 63837, 50893, 51676, 57439, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 70606, 59165, 53903, 51453, 50811, 50799, 55409, 51183, 56154, 51183, 59523, 51183, 50742, 50329, 51003, 51416, 51696, 50900, 51696, 53146, 52299, 53903, 51039, 52968, 59635, 51003, 51829, 53694, 53903, 51361, 52952, 55409, 51295, 56154, 51295, 59523, 51003, 52317, 52299, 53903, 51180, 52768, 59635, 50901, 51829, 51812, 51156, 52884, 56765, 51295, 54491, 51295, 58328, 51003, 52421, 52448, 50811, 51094, 50300, 51356, 50965, 51356, 52963, 53213, 56348, 50901, 53088, 51331, 52968, 54491, 50901, 52301, 51812, 51156, 52726, 54491, 51790, 56348, 51790, 56765, 51790, 53088, 52959, 50811, 63370, 52530, 50307, 51016, 52963, 66901, 52768, 52585, 52530, 50307, 59165, 53903, 51453, 50811, 50799, 56765, 51295, 54491, 51295, 58328, 50901, 54785, 51356, 50965, 51356, 52421, 51599, 51156, 53213, 55443, 50901, 51859, 51331, 52968, 56348, 50901, 53088, 51812, 51156, 52726, 56765, 51790, 54491, 51790, 55443, 51003, 51859, 52448, 50811, 63370, 52530, 50307, 51016, 52963, 52940, 56348, 51295, 53088, 55115, 52768, 52585, 52530, 50307, 59165, 53903, 51453, 50811, 50799, 56765, 51183, 58328, 51194, 54491, 51183, 54785, 51356, 50965, 51356, 52421, 50975, 52963, 66421, 57646, 55443, 51194, 51859, 50975, 51302, 53903, 50430, 56348, 51194, 53088, 50975, 51361, 52952, 56765, 51183, 54491, 51183, 56348, 51295, 52585, 52530, 50307, 51016, 53088, 51029, 52963, 66901, 52768, 52585, 52530, 50307, 59165, 51156, 52884, 56348, 50901, 53088, 51331, 50811, 50799, 59523, 51194, 55646, 51183, 56348, 51183, 54785, 51356, 50965, 51356, 52317, 50975, 52963, 66421, 57646, 59917, 51194, 52977, 50975, 51302, 53903, 50430, 59523, 51194, 52317, 50975, 51361, 52952, 55646, 51183, 58328, 50901, 56765, 51183, 54785, 51356, 50965, 51356, 52421, 51599, 51156, 52940, 56348, 50901, 53088, 51331, 52768, 56348, 51003, 53088, 53694, 53903, 51453, 50811, 50799, 54677, 51003, 56348, 51003, 56154, 51692, 52585, 51356, 50956, 51356, 51676, 50967, 52963, 66421, 52968, 54677, 51003, 56348, 58379, 53903, 51361, 52952, 54677, 50901, 56348, 50901, 52585, 51356, 50956, 51356, 52963, 52940, 54677, 51295, 56348, 51295, 50791, 52768, 56154, 50901, 51676, 51812, 51156, 52884, 56154, 50901, 51676, 51331, 50811, 50799, 55646, 51295, 56348, 51295, 56154, 50901, 52585, 51356, 50956, 51356, 51676, 51599, 51156, 53213, 56154, 51003, 51676, 58101, 50811, 75851, 52726, 55443, 51003, 54997, 51790, 55646, 51790, 51859, 52448, 50811, 63370, 51356, 50956, 51356, 52963, 52940, 56348, 51295, 53088, 55115, 50811, 51382, 53903, 51453, 50811, 50799, 56348, 51003, 56154, 51692, 54491, 51003, 52585, 51356, 50956, 51356, 51676, 50967, 52963, 66421, 52968, 56348, 51003, 54491, 58379, 53903, 51361, 52952, 54491, 50901, 56348, 50901, 52585, 51356, 50956, 51356, 52963, 52940, 54491, 51295, 56348, 51295, 50791, 52768, 56154, 50901, 51676, 51812, 51156, 52884, 56154, 50901, 51676, 51331, 50811, 50799, 50742, 50329, 50901, 52585, 51356, 50956, 51356, 53146, 51599, 51156, 53213, 56154, 51003, 56699, 51003, 51676, 52448, 50811, 75851, 52726, 56699, 51790, 55443, 51003, 54997, 51790, 51859, 52448, 50811, 63370, 52530, 50307, 51016, 52963, 52940, 56348, 51295, 53088, 55115, 52768, 52993, 67957, 59165, 53903, 51453, 50811, 50799, 54491, 51183, 56348, 51183, 59523, 51194, 54785, 51175, 50965, 51175, 52317, 50975, 52963, 57646, 59917, 51194, 55301, 51175, 50876, 51175, 52977, 50975, 52963, 58459, 59523, 51194, 62733, 51175, 51001, 51175, 52317, 50975, 52963, 52952, 59917, 51194, 54677, 51183, 56348, 51183, 52585, 51175, 50956, 51175, 52977, 50975, 52963, 57915, 56154, 51194, 52993, 51175, 50861, 51175, 51676, 50975, 52963, 59154, 59917, 51194, 55298, 51175, 50906, 51175, 52977, 50975, 52963, 50811, 50799, 56348, 51183, 59917, 51183, 59523, 51183, 54491, 51183, 51526, 51696, 50997, 51696, 52317, 50967, 52963, 52952, 56765, 51183, 54491, 51183, 56348, 51194, 53088, 74661, 56348, 51194, 53088, 72747, 56348, 51194, 53088, 50975, 50799, 58328, 50901, 52585, 52530, 50307, 51016, 52421, 51599, 51156, 53213, 54677, 51692, 55443, 51692, 54997, 51692, 51859, 75122, 52968, 55301, 63837, 54581, 51156, 52726, 57058, 74690, 53734, 50811, 51272, 50302, 70606, 51016, 52963, 66901, 52768, 55298, 67782, 54581, 51156, 52884, 54997, 53651, 54677, 53651, 56348, 53651, 55301, 68638, 51016, 53088, 52442, 50791, 50811, 51528, 51156, 53213, 57058, 74690, 53734, 52968, 55298, 67782, 54581, 51156, 52726, 55301, 68638, 55637 ]

[ 0, 713, 14899, 5175, 2214, 11, 230, 538, 22750, 1626, 1313, 1007, 19, 63, 15352, 30054, 2301, 8, 33558, 223, 34693, 4, 27901, 10, 2382, 3459, 8669, 6, 21979, 8669, 6, 3459, 9590, 6, 20535, 483, 6, 8, 21072, 6, 24, 11498, 10, 20902, 27841, 139, 20889, 11, 204, 73, 306, 86, 4, 20, 33215, 16739, 9, 272, 6, 274, 406, 6, 8, 230, 4620, 5, 46336, 24456, 9, 42, 33928, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 65919, 50426, 53392, 53663, 53138, 52313, 53789, 54098, 53789, 51795, 53285, 50802, 51118, 51141, 51089, 51141, 51023, 51141, 68574, 51149, 50824, 51649, 54107, 51069, 66047, 70011, 51649, 52030, 51118, 68094, 50808, 62327, 77924, 51149, 50976, 51649, 61147, 60378, 51118, 51077, 51089, 51077, 51023, 63883, 50909, 50802, 70011, 51649, 52175, 51069, 57866, 50823, 51149, 50823, 51649, 54178, 53138, 50824, 52288, 64260, 51141, 51061, 51141, 51023, 51141, 78136, 51257, 50824, 51649, 54107, 55952, 72206, 51257, 50802, 51649, 52030, 51083, 50808, 63941, 62327, 51007, 50976, 51257, 50976, 51649, 50976, 53758, 64260, 51077, 51061, 51077, 51023, 63883, 72206, 51257, 50802, 51649, 52175, 55952, 51007, 50823, 51257, 50823, 51649, 54178, 53789, 51184, 53285, 50802, 51118, 51141, 51089, 51141, 51023, 51141, 68574, 51149, 50824, 51649, 54107, 51069, 66047, 70011, 51649, 52030, 51118, 68094, 50808, 62327, 77924, 51149, 50976, 51649, 61147, 60378, 51118, 51077, 51089, 51077, 51023, 63883, 50909, 50802, 70011, 51649, 52175, 51069, 57866, 50823, 51149, 50823, 51649, 54178, 53138, 51029, 52288, 64260, 51141, 51061, 51141, 51023, 51141, 78136, 51257, 50824, 51649, 54107, 55952, 72206, 51257, 50802, 51649, 50802, 53392, 53566, 51083, 50808, 63941, 62327, 51007, 50976, 51257, 50976, 51649, 50976, 53758, 64260, 51077, 51061, 51077, 51023, 51077, 53138, 52313, 72206, 51257, 50802, 51649, 50802, 53789, 54145, 55952, 51007, 50823, 51257, 50823, 51649, 54178, 53789, 51184, 56142, 64260, 51141, 51061, 51141, 51193, 51141, 78136, 51257, 50824, 52403, 54107, 78807, 72206, 51257, 50802, 52403, 52030, 51083, 50808, 63941, 62559, 51007, 50976, 51257, 50976, 52403, 61147, 51443, 64260, 51077, 51061, 51077, 51193, 63883, 72206, 51257, 50802, 52403, 52175, 78807, 51007, 50823, 51257, 50823, 52403, 54178, 53138, 51029, 52534, 50802, 51118, 51141, 51089, 51141, 51092, 51141, 68574, 51149, 50824, 52138, 54107, 56372, 50909, 50802, 70011, 52138, 52030, 51118, 68094, 50808, 79753, 77924, 51149, 50976, 52138, 50976, 56107, 50802, 51118, 51077, 51089, 51077, 51092, 63883, 50909, 50802, 70011, 52138, 51599, 52568, 56372, 50909, 50823, 51149, 50823, 52138, 52865, 52193, 53789, 62167, 54455, 50802, 52354, 50975, 53687, 51009, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 53789, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57386, 57263, 51298, 50803, 78482, 51649, 53606, 50316, 51599, 51463, 51663, 56499, 50856, 53644, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53789, 54158, 61808, 54455, 52125, 69948, 53687, 51009, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 54607, 51599, 51663, 56650, 50856, 53885, 54408, 63058, 50856, 53595, 69948, 50872, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 51670, 51463, 51663, 56246, 50856, 53650, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53014, 55415, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51029, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 54031, 53392, 55415, 55893, 50856, 53516, 75726, 57386, 57263, 51298, 50803, 78482, 51649, 51520, 51463, 51663, 56499, 50856, 53644, 53687, 55868, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53392, 64021, 54292, 69948, 54455, 55868, 80228, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 56650, 50856, 53885, 54111, 55373, 50856, 53595, 69948, 52341, 55868, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 50811, 53392, 51599, 51463, 51663, 56246, 50856, 53650, 54111, 55868, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 56273, 54158, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51009, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 53392, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57386, 57263, 51298, 50803, 78482, 51649, 53606, 50304, 52299, 51463, 51663, 56499, 50856, 53644, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 54158, 61808, 54455, 52125, 69948, 53687, 58602, 58051, 51298, 50824, 51257, 50824, 51649, 50824, 56273, 51599, 51663, 56650, 50856, 53885, 53392, 63058, 50856, 53595, 69948, 50872, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 51670, 51463, 51663, 56246, 50856, 60305, 54455, 52325, 53687, 50993, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53392, 51407, 50856, 56924, 50856, 50895, 52354, 50975, 56727, 58051, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 57705, 54455, 52244, 54111, 54158, 55893, 50856, 53516, 75726, 52341, 55868, 50803, 57263, 51298, 50803, 78482, 51649, 51520, 51463, 51663, 56499, 50856, 53644, 53289, 55868, 65046, 51298, 50802, 51257, 50802, 51649, 54158, 54292, 69948, 51634, 55868, 80228, 51298, 50824, 51257, 50824, 51649, 52299, 51663, 56650, 50856, 53885, 51843, 55373, 50856, 53595, 69948, 51849, 77732, 59080, 50811, 51298, 50811, 51257, 50811, 51649, 51670, 51463, 51663, 56246, 50856, 53650, 50872, 65046, 51298, 50802, 51257, 50802, 51649, 50802, 53392, 54158, 56924, 50856, 50895, 54516, 50975, 50992, 50824, 78136, 51257, 50824, 52403, 50824, 53789, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 51186, 50975, 51281, 51077, 51185, 51077, 51530, 51077, 50992, 74779, 50811, 51257, 50811, 52403, 50811, 53789, 52299, 51463, 51663, 56499, 50856, 53644, 50992, 50802, 72206, 51257, 50802, 52403, 54158, 50895, 53357, 50975, 50992, 50824, 78136, 51257, 50824, 52403, 50824, 54607, 51599, 51663, 56650, 50856, 53885, 54408, 63058, 50856, 53595, 75726, 51281, 50889, 51185, 50889, 51530, 50889, 50992, 74779, 50811, 51257, 50811, 52403, 51670, 51463, 51663, 56246, 50856, 53650, 50992, 50802, 72206, 51257, 50802, 52403, 50802, 53014, 55415, 56924, 50856, 50895, 54516, 50975, 51281, 50889, 51185, 50889, 51530, 50889, 50992, 50824, 78136, 51257, 50824, 52403, 52299, 51663, 54031, 53392, 55415, 55893, 50856, 53516, 51186, 50975, 51281, 50805, 51185, 50805, 51530, 59863, 74779, 50811, 51257, 50811, 52403, 51670, 51463, 51663, 56499, 50856, 53644, 51281, 50805, 51185, 50805, 51530, 59863, 50802, 72206, 51257, 50802, 52403, 50802, 53392, 55415, 50895, 53357, 50975, 51281, 50805, 51185, 50805, 51530, 59863, 50824, 78136, 51257, 50824, 52403, 52299, 51663, 56650, 50856, 53885, 51281, 50805, 51185, 50805, 51530, 50805, 53392, 55373, 50856, 53595, 75726, 50992, 74779, 50811, 51257, 50811, 52403, 50811, 53392, 52299, 51463, 51663, 56246, 50856, 53650, 50992, 50802, 72206, 51257, 50802, 52403, 50802, 56273, 54158, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51009, 58051, 68574, 51298, 50824, 51257, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57263, 59726, 51298, 50803, 51257, 53606, 50304, 52299, 51463, 51663, 56499, 50856, 53644, 50850, 66047, 51298, 50802, 51257, 54158, 61808, 54455, 52125, 69948, 53687, 51009, 58051, 68574, 51298, 50824, 51257, 50824, 56273, 51599, 51663, 56650, 50856, 53885, 53392, 63058, 50856, 53595, 69948, 50850, 64622, 50811, 51298, 50811, 51257, 51670, 51463, 51663, 56246, 50856, 53650, 50850, 66047, 51298, 50802, 51257, 50802, 53392, 51795, 50856, 56924, 50856, 60744, 54455, 50802, 52354, 50975, 53687, 51029, 58051, 68574, 51298, 50824, 51257, 52299, 51663, 50895, 53158, 55893, 50856, 53516, 75726, 57263, 59726, 51298, 50803, 51257, 51520, 51463, 51663, 56499, 50856, 53644, 53687, 56491, 66047 ]

[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2214, 11, 230, 538, 6, 4246, 10, 2635, 226, 22740, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 21072, 694, 10, 16634, 12989, 1328, 5, 2125, 6, 61, 16, 17407, 30, 10, 33215, 16739, 9, 230, 6, 1918, 406, 6, 272, 6, 8, 1918, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 61791, 55986, 53466, 50843, 51242, 57315, 51212, 57702, 63105, 50877, 67089, 69667, 51058, 56229, 51283, 51247, 51446, 50931, 51749, 50999, 51749, 50877, 52528, 50876, 52528, 51050, 52720, 50798, 71109, 58724, 51000, 52338, 51295, 51996, 51295, 50416, 50920, 72593, 51118, 50838, 52352, 51462, 53332, 51000, 56952, 67643, 51083, 50932, 51895, 51635, 66611, 56323, 51023, 50838, 52574, 51102, 50833, 53775, 50874, 54030, 77285, 51118, 51484, 52352, 52271, 59383, 55123, 50808, 63268, 63302, 76884, 51020, 62285, 51582, 63740, 50857, 52338, 50839, 51996, 52950, 77743, 50968, 51423, 50951, 51423, 55123, 51077, 51061, 53656, 51141, 51340, 51398, 51000, 52338, 51183, 51996, 51183, 50440, 50920, 74965, 51118, 51172, 69134, 57522, 50920, 70003, 61524, 63095, 64304, 51083, 57202, 53740, 76606, 50920, 55634, 71477, 50876, 51534, 50931, 51534, 50906, 52845, 50318, 51333, 51023, 77487, 54881, 54701, 51167, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51172, 58539, 51453, 57110, 50951, 51008, 50902, 52169, 50320, 51058, 51020, 55336, 50930, 58479, 51477, 51247, 51446, 50931, 51749, 50931, 51627, 50877, 52528, 50876, 52528, 51061, 53656, 51141, 51340, 51398, 51000, 52338, 51295, 51996, 51295, 50416, 50920, 72593, 51118, 51309, 53510, 51462, 53332, 51000, 56952, 67643, 51083, 51006, 51927, 51635, 51254, 51070, 65869, 50920, 52966, 51023, 71730, 58665, 50833, 53775, 50874, 54030, 77285, 51118, 51172, 51895, 52271, 66380, 55123, 50808, 50951, 51008, 51081, 51008, 50951, 51006, 51020, 62285, 51582, 63740, 50857, 52338, 50839, 51996, 52950, 51081, 51309, 51081, 51423, 51146, 51423, 55123, 51077, 51061, 53656, 71109, 59345, 51000, 52338, 51183, 51996, 51183, 50440, 50920, 67387, 51118, 51309, 73989, 57522, 50920, 70003, 50999, 70453, 52019, 50328, 51097, 51083, 57202, 53740, 76606, 50920, 52846, 50902, 77418, 51333, 51023, 77487, 51204, 50791, 52546, 50980, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51309, 51983, 51453, 58323, 51081, 50933, 51081, 51008, 51146, 51008, 51020, 55336, 57319, 50791, 50883, 59733, 51627, 51062, 51749, 51339, 51749, 51247, 51446, 50877, 52528, 50876, 52528, 51061, 62285, 71109, 59345, 51000, 52338, 51295, 51996, 51295, 50416, 50920, 72593, 51118, 51277, 51895, 51462, 53332, 51000, 56952, 67643, 51083, 50838, 52352, 51635, 66611, 65869, 50920, 52966, 51023, 71730, 57148, 50925, 53775, 50874, 54030, 77285, 51118, 51172, 53510, 52271, 59383, 55123, 51731, 50330, 51008, 51081, 52169, 50326, 51058, 51020, 51006, 58471, 51190, 51765, 50857, 52338, 50862, 51996, 52950, 50999, 66750, 51764, 50328, 51764, 50273, 51077, 51061, 62285, 51446, 50791, 58724, 51000, 52338, 51562, 51996, 51562, 50440, 51081, 76819, 51764, 50330, 55365, 67387, 50999, 51542, 51062, 51542, 50999, 51381, 51118, 51277, 50791, 53740, 57522, 50920, 60402, 51083, 51006, 64866, 55634, 50906, 52845, 50318, 51333, 51023, 77487, 71109, 53696, 50980, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51172, 52622, 51453, 58472, 51081, 50874, 50951, 75766, 51058, 51020, 57202, 50930, 52338, 50839, 51996, 50839, 56229, 64369, 51309, 50999, 51423, 51247, 51446, 50877, 52528, 50876, 52528, 51061, 53656, 51141, 51441, 51398, 51000, 52338, 51562, 51996, 51562, 50416, 50920, 70637, 51118, 51309, 54958, 51462, 53332, 51000, 56952, 58640, 50877, 79018, 63348, 51381, 51083, 57202, 50366, 51635, 51254, 51070, 65869, 50920, 56323, 51023, 71730, 57148, 50925, 53775, 50874, 54030, 77285, 51118, 51309, 52352, 52271, 66380, 55123, 59473, 69138, 52363, 50323, 51006, 51020, 53656, 51582, 63740, 50857, 52665, 50977, 51946, 60592, 55123, 51077, 50931, 52062, 50877, 51445, 50876, 51445, 51061, 53656, 51446, 50791, 59345, 51000, 52338, 51183, 51996, 51353, 50440, 50920, 67387, 51118, 71730, 54435, 57522, 50920, 60402, 51083, 57202, 53740, 76606, 50920, 52846, 50906, 52845, 50318, 51333, 51023, 77487, 50805, 56370, 51192, 51889, 50857, 53775, 50874, 54030, 50874, 50454, 51118, 51172, 52008, 51453, 57059, 51020, 55336, 50855, 54734, 51204, 50876, 51490, 50931, 51490, 51061, 51006, 57587, 60881, 51204, 50791, 57503, 51000, 50416, 50920, 72593, 51118, 51172, 51895, 51462, 53332, 51000, 56952, 67643, 51083, 50933, 51287, 51635, 66611, 65869, 50920, 52966, 51061, 51006, 59811, 50833, 53775, 50874, 54030, 77285, 52206, 50910, 51118, 50838, 51960, 56817, 50974, 55199, 78239, 53492, 71864, 50864, 52334, 55476, 50822, 53807, 50974, 50436, 52039, 52781, 51247, 51141, 50877, 51243, 51898, 54035, 71109, 58724, 51000, 52338, 51310, 51996, 51310, 51567, 52140, 52037, 52140, 52792, 52140, 50440, 50920, 74965, 51118, 51852, 52352, 51462, 53332, 57522, 50920, 70003, 51083, 51852, 51898, 51437, 61318, 66611, 55634, 51898, 50905, 52574, 51102, 50833, 53775, 50851, 54030, 65126, 51118, 51852, 52352, 52271, 61034, 51247, 71864, 51079, 51898, 54200, 51582, 63740, 50857, 52338, 50834, 51996, 59933, 51898, 50820, 54734, 50889, 51092, 51965, 51898, 61525, 51141, 51340, 51398, 51000, 52338, 51145, 51996, 51145, 50416, 50920, 72593, 51118, 51852, 69134, 51000, 56952, 67643, 51083, 51254, 52039, 51373, 53740, 65869, 50920, 56323, 51799, 50889, 51020, 51753, 52334, 54371, 54881, 54701, 51167, 51889, 50857, 53775, 50851, 54030, 50851, 51584, 51108, 51612, 51108, 52037, 51108, 50430, 51118, 56975, 56761, 52039, 51437, 56446, 51083, 51254, 51898, 52854, 56341, 52206, 51141, 50876, 51627, 51118, 51079, 52039, 60881, 51141, 51340, 51398, 51000, 52338, 51310, 53064, 51448, 51567, 51449, 52075, 51449, 52290, 51449, 50440, 50920, 74965, 53510, 51462, 53332, 57522, 50920, 70003, 51118, 51797, 51927, 51635, 51254, 51070, 76606, 50920, 52846, 51083, 67700, 58665, 50833, 53807, 50851, 55199, 65126, 51020, 51753, 51895, 52271, 73706, 52206, 60611, 51006, 51118, 51254, 62709, 63740, 50857, 56049, 50834, 52338, 50834, 61628, 51077, 50861, 51080, 51023, 51806, 50798, 71109, 59345, 51000, 56049, 51145, 52338, 51145, 50416, 50920, 70637, 51118, 51852, 73989, 51000, 56952, 67643, 51083, 56975, 53740, 65869, 50920, 52966, 51020, 51330, 50804, 51204, 50791, 52546, 50980, 51889, 50857, 53807, 50851, 55199, 64756, 51557, 51079, 51983, 51361, 58608, 51083, 51254, 54595, 51437, 58024, 54595, 51559, 53294, 52206, 51141, 50861, 51680, 51118, 51852, 52039, 53840, 71109, 59345, 51000, 52338, 51310, 53064, 51310, 51567, 51449, 52075, 51449, 52290, 51449, 50440, 50920, 74965, 51083, 51852, 51895, 51462, 53332, 57522, 52039, 52539, 70003, 52039, 51373, 65774, 66611, 76606, 50920, 52846, 51118, 51852, 52039, 51559, 57148, 50925, 53807, 50851, 55199, 65126, 51083, 51254, 52039, 51373, 77985, 61034, 52206, 50808, 51020, 51852, 52039, 55576, 50808, 51190, 51765, 50857, 52338, 50834, 53064, 50834, 61628, 50889, 51118, 51852, 52039, 53197, 51446, 50791, 58724, 51000, 52338, 51145, 53064, 51145, 50416, 50920, 70637, 51083, 51079, 52039, 51373, 53740, 51000, 56952, 58640, 51020, 51797, 52334, 50878, 64866, 56323, 52759, 59428, 50932, 51118, 51852, 51898, 53119, 71109, 53696, 50980, 51889, 50857, 53807, 50851, 55199, 64756, 51023, 51961, 51898, 50878, 52622, 51361, 57535, 51083, 51753, 52039, 52854, 56341, 51799, 51141, 50877, 51627, 52334, 66099, 51141, 51441, 51398, 51000, 55308, 51310, 52665, 51310, 51612, 52140, 52037, 52140, 52792 ]

[ 0, 1121, 42, 15352, 30054, 5175, 2214, 6, 41, 81, 9756, 8669, 1239, 5, 483, 6, 7513, 30, 10, 6755, 12547, 6, 17605, 9590, 6, 38668, 20535, 6, 8, 36075, 8669, 4, 20, 15229, 6, 278, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 3136, 23, 41, 12447, 1001, 20889, 9, 14881, 13410, 228, 2289, 4, 13231, 5, 2125, 6, 10, 33215, 13931, 9, 211, 6, 230, 6, 211, 6, 8, 1918, 3639, 7, 63, 13363, 28191, 13569, 9862, 6, 2351, 10, 11739, 9, 2933, 8, 20425, 4785, 624, 10, 23975, 2369, 18795, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 66079, 51544, 50834, 51570, 50834, 51382, 54192, 53766, 66222, 51767, 57241, 54160, 50795, 51263, 51100, 51347, 50937, 71568, 50873, 51188, 50932, 51409, 50865, 51320, 54925, 51200, 51210, 50420, 53133, 50845, 51200, 50978, 51409, 50938, 60454, 53631, 50873, 51200, 51109, 75788, 60854, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 64606, 51200, 57787, 51759, 52878, 53133, 50845, 59207, 54160, 50845, 75788, 66222, 51767, 57241, 53133, 50991, 51263, 51100, 51347, 50937, 51931, 70878, 50932, 51409, 50865, 51320, 54925, 51200, 51210, 50420, 53133, 50845, 51200, 50978, 51409, 50938, 60454, 53631, 50873, 51200, 51109, 75788, 60854, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50845, 51188, 51330, 64606, 51200, 57787, 51759, 52878, 53133, 50873, 59207, 54160, 50845, 75788, 54210, 53133, 50943, 52551, 50849, 51583, 50901, 51498, 50845, 51931, 50799, 51347, 51330, 51320, 54925, 51767, 50938, 51263, 70997, 54160, 50795, 51263, 50892, 79224, 51767, 57316, 54380, 50845, 51767, 51073, 75788, 60854, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50795, 51263, 50915, 51767, 56902, 51759, 52878, 54160, 50845, 59207, 56070, 50873, 75788, 54210, 54160, 51221, 52551, 50849, 51583, 50901, 51498, 50845, 51931, 50799, 51347, 51330, 51320, 54925, 51767, 50938, 51263, 70997, 54160, 50845, 51263, 50892, 79224, 51767, 57316, 54380, 50845, 51767, 51073, 75788, 60854, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50845, 51263, 50915, 51767, 56902, 51759, 52878, 54160, 50845, 59207, 56070, 50845, 75788, 66222, 51263, 57414, 54160, 50873, 51347, 51370, 59036, 51497, 50901, 59696, 54925, 51188, 50977, 51245, 52528, 50420, 53133, 69814, 50907, 51201, 50912, 51284, 50907, 51263, 72532, 50977, 60454, 53631, 50795, 51107, 51074, 78041, 51558, 51079, 75788, 60854, 51188, 51377, 51263, 69558, 53133, 50845, 51931, 50437, 51263, 50915, 51188, 56509, 54380, 65584, 51480, 51629, 50829, 51284, 51412, 51304, 51480, 66300, 52878, 53133, 50845, 59207, 54380, 50845, 75788, 54210, 53631, 50991, 51263, 51056, 51931, 50457, 51497, 50893, 74608, 59696, 54925, 51188, 51312, 51245, 51677, 50420, 53133, 50845, 51263, 50892, 60454, 53631, 50873, 75788, 60854, 51263, 51159, 51188, 51056, 50432, 53133, 50873, 63709, 54380, 50873, 51188, 51267, 51263, 51109, 66300, 52878, 53133, 50873, 59207, 54380, 50873, 75788, 54210, 53631, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 70878, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50420, 53133, 69814, 50984, 51600, 50912, 51284, 50912, 79224, 51200, 50978, 51409, 56412, 53631, 69814, 50933, 51182, 50978, 51558, 50978, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 69814, 51480, 51629, 50829, 51284, 50995, 51304, 51253, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53133, 50873, 59207, 54160, 50845, 75788, 54210, 53133, 50795, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 70878, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50420, 53133, 50873, 79224, 51200, 50978, 51409, 56412, 53631, 50873, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50845, 53133, 50845, 59207, 52464, 50795, 54160, 51626, 65987, 52141, 54210, 53367, 50905, 53133, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 52804, 50878, 53133, 50873, 51188, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50417, 53955, 51253, 50420, 53133, 50845, 79224, 51200, 50978, 51409, 56412, 53631, 50873, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50822, 53133, 50845, 59207, 52464, 50795, 54160, 50845, 75788, 54210, 53367, 50810, 53133, 50991, 51931, 50457, 56489, 63679, 51188, 51109, 50799, 52804, 50897, 51320, 54925, 51409, 50937, 51200, 50978, 50417, 53955, 51203, 50420, 53133, 50845, 79224, 77143, 51188, 51174, 51200, 60086, 53631, 50873, 75788, 60854, 51409, 51290, 51188, 51413, 51200, 51312, 50432, 53133, 50845, 63709, 54380, 54035, 51759, 56068, 51200, 51255, 51409, 51238, 50444, 53133, 50873, 59207, 52804, 50807, 54160, 50845, 75788, 54210, 53133, 50943, 52551, 50849, 51583, 50901, 51931, 50457, 51498, 50845, 50799, 53331, 50810, 51347, 51330, 51320, 54925, 51767, 50938, 50416, 51263, 51058, 50417, 53367, 53299, 53857, 50845, 54160, 51370, 58592, 51263, 50892, 51767, 57316, 54380, 50845, 75788, 60854, 51767, 51073, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50795, 51263, 50915, 51767, 56902, 51759, 52878, 53857, 50810, 54160, 50845, 59207, 52804, 50865, 56070, 50873, 75788, 54210, 53857, 50864, 54160, 51221, 52551, 50849, 51583, 50901, 51931, 50457, 51498, 50845, 50799, 54888, 50800, 51347, 51330, 51320, 54925, 51767, 50938, 50416, 51263, 51058, 50417, 53331, 61000, 54160, 50845, 79224, 51263, 50892, 51767, 57316, 54380, 50845, 75788, 60854, 51767, 51073, 51347, 51183, 51263, 59102, 54160, 50845, 63709, 53968, 50845, 51263, 50915, 51767, 56902, 51759, 52878, 53367, 50878, 54160, 50845, 59207, 52464, 51060, 56070, 50845, 75788, 54210, 54160, 50873, 51263, 50915, 51347, 51370, 59036, 51497, 50901, 50799, 52804, 51060, 51320, 54925, 51188, 50977, 50416, 51245, 52528, 50420, 53133, 50845, 51263, 50892, 79224, 51188, 60086, 53631, 51626, 65987, 52141, 60854, 51188, 51377, 51263, 69558, 53133, 50845, 63709, 54380, 50873, 51263, 50915, 51188, 58955, 51759, 52878, 53367, 50917, 53133, 50845, 59207, 52464, 50830, 54380, 50845, 75788, 54210, 52464, 50830, 53631, 50991, 51263, 51056, 51931, 50457, 51497, 50893, 74608, 50799, 52804, 51060, 51320, 54925, 51188, 51312, 51245, 51677, 50420, 53133, 50845, 51263, 50892, 60454, 53631, 50873, 75788, 60854, 51263, 51159, 51188, 51056, 50432, 53133, 50873, 63709, 54380, 50873, 51188, 51267, 51263, 51109, 66300, 52878, 53367, 50878, 53133, 50873, 59207, 52464, 50800, 54380, 50873, 75788, 54210, 52464, 50830, 53631, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 53955, 50849, 51188, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50420, 53133, 50845, 79224, 51200, 50978, 51409, 56412, 53631, 50845, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50845, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50810, 53133, 50873, 59207, 52464, 50865, 54160, 50845, 75788, 54210, 53367, 50851, 53133, 50795, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 52804, 63651, 50932, 51320, 54925, 51409, 50865, 51200, 51210, 50417, 53955, 54644, 53133, 50873, 79224, 51200, 50978, 51409, 56412, 53631, 50873, 75788, 60854, 51200, 51109, 51409, 51073, 51188, 51576, 50432, 53133, 50845, 63709, 54380, 50873, 51188, 51330, 66300, 56068, 64606, 51200, 59242, 53367, 50830, 53955, 50897, 53133, 50845, 59207, 52464, 50795, 53286, 50849, 54160, 51626, 65987, 52141, 54210, 53133, 50873, 51767, 50923, 51263, 51100, 51347, 50937, 51931, 50799, 53955, 50795, 52197, 50849, 53133, 50873, 51188, 50932, 51320, 53837, 55916, 51409, 50865, 51200, 51210, 50420, 53133, 69814, 50912, 51600, 50912, 51284, 50827, 79224, 51200, 50978, 51409, 56412 ]

[ 0, 250, 33928, 8, 33558, 3495, 3152, 2214, 4246, 13305, 6, 21072, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 3459, 8669, 6, 278, 11, 5, 762, 9, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 8, 1918, 406, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 58359, 51685, 51120, 51196, 50900, 52266, 50871, 52266, 50877, 52369, 50927, 51009, 51669, 51080, 52327, 51148, 52807, 51148, 51118, 51127, 51061, 74612, 51240, 55622, 51170, 55933, 51120, 50809, 57909, 52807, 50835, 53876, 50829, 51118, 53083, 51799, 50890, 50927, 54756, 55891, 51214, 51496, 51026, 51552, 50899, 52195, 50916, 51469, 50861, 52017, 50973, 53435, 50953, 51184, 52257, 51637, 54797, 51477, 51083, 51295, 51020, 51141, 50799, 51240, 53087, 51240, 54562, 51027, 50821, 52807, 50864, 51282, 56486, 50900, 50859, 53876, 50904, 51118, 53891, 50899, 50880, 54910, 50813, 51083, 60380, 55933, 50899, 50880, 54910, 50857, 51083, 53057, 50899, 50890, 54910, 50810, 51083, 67542, 54944, 50900, 50859, 53876, 50904, 51118, 54481, 51027, 50883, 52807, 50864, 51282, 50870, 58359, 51343, 51120, 50967, 50900, 51685, 50871, 51977, 50877, 52282, 50927, 51009, 51118, 51127, 51061, 51047, 51240, 55229, 51120, 50896, 51669, 51333, 52327, 50932, 52807, 50995, 51240, 56262, 51799, 51192, 51170, 52267, 51120, 72891, 50883, 50871, 70463, 50962, 57909, 51669, 50864, 52327, 50863, 52807, 50834, 51083, 50884, 51061, 53409, 51799, 50818, 50927, 54756, 54210, 51214, 51496, 51026, 51552, 50899, 51285, 50916, 52266, 50861, 55362, 50973, 52379, 50953, 51795, 51669, 52136, 52257, 51477, 54797, 51074, 51083, 51218, 51020, 50983, 50799, 51240, 55800, 51240, 54562, 51027, 50821, 52807, 50857, 51282, 58970, 50900, 50858, 53876, 50867, 51118, 54123, 50899, 50880, 54910, 50886, 51083, 55139, 53675, 50899, 50890, 54910, 50813, 51083, 53083, 50899, 50882, 54910, 50833, 51083, 57919, 57443, 50900, 50858, 53876, 50810, 51118, 55370, 51027, 50930, 52807, 50825, 51282, 50837, 58359, 52195, 51120, 51286, 50900, 51196, 50871, 51685, 50877, 52282, 50927, 51009, 52327, 50941, 52807, 50827, 51457, 50887, 51282, 55615, 52432, 51825, 50809, 51118, 52641, 51120, 50807, 51669, 51542, 52327, 50981, 52807, 50915, 51825, 51033, 51118, 50910, 51061, 50910, 51240, 55649, 51457, 52444, 51799, 51192, 51825, 50882, 51118, 56128, 55933, 51120, 66407, 50883, 50871, 71452, 50962, 57909, 51669, 50941, 52327, 50837, 52807, 50825, 51981, 50930, 51118, 77185, 53595, 51799, 50890, 64386, 51981, 57488, 54210, 51214, 51274, 51026, 51496, 50899, 51196, 50916, 51196, 50861, 53898, 50973, 53435, 50953, 51184, 51669, 51965, 52257, 51318, 51825, 71864, 51141, 51020, 51189, 50799, 51981, 51014, 51240, 55800, 52287, 51286, 51240, 55649, 51027, 50858, 52807, 50857, 51457, 51294, 51282, 58970, 50900, 50859, 53876, 50862, 51118, 52691, 50899, 50880, 54910, 50862, 51083, 55263, 55186, 50899, 68877, 51432, 54910, 50862, 51083, 53068, 50899, 50880, 54910, 71864, 62073, 57443, 50900, 50940, 53876, 50810, 51118, 52863, 51027, 50883, 52807, 50829, 51282, 50834, 58359, 51073, 51120, 52236, 50304, 51977, 50871, 51685, 50877, 52282, 50927, 51009, 51607, 50837, 52327, 50820, 51783, 51445, 51584, 51445, 51567, 51445, 51240, 56051, 51457, 50948, 51118, 52870, 51120, 51226, 51607, 51961, 52327, 51391, 51825, 73183, 51116, 51083, 50864, 51061, 50943, 51240, 54151, 51457, 52599, 51799, 51192, 51825, 51030, 51083, 55202, 53885, 51120, 66407, 50895, 50871, 72199, 51010, 57909, 51607, 50867, 52327, 50839, 51981, 50887, 51118, 50839, 51061, 53409, 51799, 50884, 64386, 51981, 79080, 55891, 51214, 51496, 51026, 52195, 50899, 51285, 50916, 54454, 50861, 52017, 50973, 52379, 50953, 51184, 51669, 51965, 52257, 51318, 51825, 50887, 51083, 51189, 51020, 51218, 50799, 52287, 51388, 51783, 51445, 51555, 51445, 51902, 51445, 51240, 56621, 51981, 54149, 51825, 51388, 51240, 55649, 51027, 50921, 52807, 50886, 51981, 50962, 51282, 56486, 50900, 50859, 53876, 50862, 51118, 54181, 50899, 50880, 54910, 50862, 51457, 51226, 51083, 55139, 54586, 50899, 50887, 54910, 50836, 51083, 53533, 50899, 50880, 54910, 50887, 51083, 67542, 56883, 50900, 50940, 53876, 50854, 51118, 54199, 51027, 50883, 52807, 50839, 51282, 50829, 58359, 52297, 50294, 51167, 50900, 51977, 50871, 51685, 50877, 52282, 62644, 51607, 50941, 52327, 50971, 54310, 62334, 56092, 53171, 53113, 51118, 54316, 52287, 51460, 50426, 51120, 51013, 51607, 51961, 52327, 51679, 51118, 60213, 51048, 51240, 54151, 71485, 51981, 51033, 51118, 59656, 51799, 51215, 64386, 51825, 50921, 51118, 68441, 55186, 51120, 72474, 52640, 50309, 72199, 50930, 73182, 51607, 50904, 52327, 50886, 51981, 51054, 51118, 50828, 51061, 52802, 51799, 65303, 54450, 52206, 51274, 50997, 52369, 50956, 52266, 50861, 53174, 56372, 52327, 50941, 51825, 76591, 51162, 52534, 50811, 51773, 51679, 52603, 51419, 52287, 50923, 51240, 53336, 71155, 51981, 51030, 51118, 52928, 51085, 51013, 51825, 50948, 51118, 50925, 51020, 51073, 51240, 52265, 52206, 50808, 50964, 51010, 52603, 52011, 52257, 51310, 51981, 51388, 51118, 55108, 52206, 51215, 56372, 51118, 55987, 55933, 51085, 79892, 75205, 72115, 50962, 72546, 51773, 51376, 51981, 51286, 51118, 55149, 52206, 50948, 62890, 52603, 50977, 52287, 58950, 54210, 51085, 50887, 65931, 52257, 50822, 51825, 51090, 51118, 50828, 54662, 51958, 50297, 53751, 50306, 53177, 50313, 51054, 51186, 50824, 51669, 51108, 52807, 50995, 51083, 51013, 51240, 54892, 51457, 52536, 50432, 51234, 51731, 50297, 52236, 50306, 61768, 50930, 77585, 51669, 50891, 52807, 50867, 51083, 63039, 55522, 53442, 51234, 52530, 50297, 53531, 50306, 60599, 51237, 51186, 50824, 51669, 51709, 52807, 50915, 51083, 50889, 51023, 50807, 51240, 55891, 51234, 50839, 51050, 74336, 65172, 50887, 51186, 51010, 51669, 50941, 52807, 50867, 51083, 55140, 50818, 54662, 50859, 51050, 75025, 50858, 72859, 51186, 50817, 51669, 50912, 52807, 50833, 51083, 66578, 65547, 56051, 51234, 51804, 50297, 52236, 50306, 62125, 50962, 51186, 50823, 51669, 50829, 52807, 50820, 51083, 50839, 51023, 54966, 54151, 51234, 52282, 51050, 52827, 50899, 51685, 50877, 52827, 51186, 51009, 51669, 51447, 52807, 51103, 51083, 51100, 51023, 50980, 51240, 52267, 51825, 51388, 51083, 50839, 52612, 52396, 51981, 50962, 51061, 55404, 55577, 54310, 50911, 51020, 54518, 50811, 54206, 63925, 51552, 51105, 50817, 52027, 52988, 51083, 50829, 51020, 50829, 52623, 51445, 51555, 51445, 51722, 52337, 50801, 60404, 53414, 53223, 51197, 52500, 51105, 50976, 54310, 51354, 79403, 51020, 55326, 56803, 53516, 50997, 51244, 51083, 51235, 51341, 50977, 51020, 55067, 52702, 54404, 53644, 50899, 51110, 50861, 64292, 51364, 51105, 51010, 51773, 57598, 54310, 51427, 51236, 53418, 76613, 54910, 55392, 52705, 52268, 55757, 51105, 51010, 55989, 51159, 73907, 63767, 51115, 52932, 50882, 51083, 50839, 51020, 53971, 57344, 52725, 50861, 51090, 57909, 77432, 51242, 52932, 50911, 51083, 50893, 51020, 53543, 52702, 69629, 53650, 50997, 50952, 51011, 51010, 50656, 50342, 51353, 51981, 50921, 51557, 56898, 57071, 50846, 54662, 51077, 50899, 57874, 70866, 51226, 51186, 50817, 51669, 52256, 52287, 50962, 51118, 50829, 51083, 50829, 69318, 52123, 51445, 51783, 76914, 60404, 55767, 56051, 51050, 51189, 51186, 50976, 52807, 52783, 52287, 51603, 80060, 51061, 55922, 53087, 63383, 51118, 50854, 51083, 51238, 51061, 58668, 52702, 55949, 53589, 52417, 50899, 51472, 50871, 51552, 51186, 51066, 52327, 51330, 51825, 51054, 51118, 63464, 68511, 52950, 51118, 60495, 52616, 51234, 51573, 51096, 50976, 51669 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 980, 219, 16464, 6, 4246, 38668, 18569, 6, 3459, 8669, 6, 13305, 6, 21072, 6, 8, 38668, 20535, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 3694, 6, 34, 10, 7212, 20889, 9, 12747, 741, 1685, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 119, 6, 2060, 6, 8, 274, 119, 16, 6636, 5705, 1328, 42, 2214, 9, 7212, 5933, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 50796, 51601, 63549, 51419, 58828, 51419, 63811, 51542, 53867, 53835, 53353, 60461, 50913, 58092, 50913, 50886, 57773, 50823, 53867, 55828, 60443, 50913, 61231, 63549, 51637, 60542, 52136, 63811, 51637, 50436, 52243, 50875, 50886, 60669, 50869, 50598, 63776, 50913, 60822, 50913, 60044, 52615, 51102, 50857, 57688, 50926, 50598, 56009, 58261, 50913, 57534, 52615, 51102, 50820, 51601, 60542, 51534, 61144, 51484, 63811, 51775, 53867, 52923, 62180, 50913, 60039, 50913, 50825, 57773, 50926, 50598, 55980, 61231, 50913, 59370, 50798, 57014, 57571, 51199, 58828, 51380, 61535, 51380, 53867, 53983, 65389, 50913, 60822, 50913, 60044, 50798, 50894, 57688, 50823, 53867, 58261, 50913, 59036, 50798, 50882, 51601, 63811, 51242, 63549, 51233, 58828, 51233, 53867, 52784, 78357, 60461, 50913, 65127, 50913, 70085, 53867, 54742, 63724, 60443, 50913, 61231, 63549, 51535, 60542, 51448, 63811, 51749, 50436, 52615, 50875, 67941, 52615, 50792, 50598, 63397, 50913, 60822, 50913, 60044, 50798, 52199, 50857, 57688, 50926, 50598, 55980, 58261, 50913, 57534, 50798, 53607, 50820, 51601, 60542, 51312, 63811, 51380, 61144, 50995, 52055, 50792, 50598, 58516, 50913, 60039, 50913, 50825, 57773, 50881, 50598, 55980, 61231, 50913, 59370, 55821, 53238, 56484, 58828, 51097, 61535, 50995, 57571, 51542, 52447, 53690, 50383, 54118, 63397, 50913, 60822, 55821, 54853, 60044, 52447, 53579, 50880, 57688, 50881, 50598, 65732, 55821, 54976, 59036, 52447, 53238, 66430, 52191, 56736, 51601, 63549, 51411, 58828, 51025, 63811, 51775, 52723, 54118, 52532, 60461, 50913, 65127, 50913, 70085, 53867, 52501, 54518, 58874, 50913, 61231, 63811, 51749, 63549, 51535, 60542, 51448, 50436, 52615, 50875, 50886, 60669, 62230, 64100, 50913, 60822, 50913, 60044, 52615, 51102, 67235, 53867, 54742, 52199, 58261, 50913, 57534, 52615, 51102, 50820, 51601, 60542, 50981, 61144, 51419, 63811, 51542, 51728, 50792, 50598, 65149, 50913, 60039, 50913, 58245, 53867, 55748, 55619, 58167, 50913, 59370, 50798, 56484, 61535, 51097, 57571, 50932, 58828, 63575, 62230, 60067, 50913, 60822, 50913, 60044, 50798, 50880, 57688, 50926, 50598, 61192, 50913, 59036, 50798, 66430, 58341, 50962, 51601, 63811, 51328, 63549, 51337, 58828, 51233, 58341, 54217, 53867, 54200, 53540, 60461, 50913, 65127, 50913, 70085, 53867, 53352, 53607, 60443, 50913, 61231, 63549, 51318, 60542, 51318, 63811, 51477, 50436, 52613, 50875, 67941, 53867, 52784, 58344, 50913, 60822, 50913, 60044, 52613, 51102, 67235, 53867, 53352, 53607, 58261, 50913, 57534, 51728, 50994, 50820, 51601, 61144, 51380, 60542, 51253, 63811, 51380, 53867, 54200, 74871, 50913, 60039, 50913, 58245, 53867, 54597, 53607, 57004, 50913, 59370, 50798, 59764, 61535, 51097, 57571, 50932, 58828, 51097, 52243, 54118, 54704, 51206, 51832, 50442, 50913, 60822, 51206, 68918, 54368, 51206, 51004, 50448, 51728, 52526, 60258, 51206, 50928, 57688, 57639, 50368, 52438, 54859, 51206, 68357, 50913, 52920, 51206, 74884, 50798, 56249, 51206, 50835, 65195, 70623, 63811, 50938, 58828, 51477, 63549, 51671, 63811, 51449, 52191, 51060, 53867, 53835, 54162, 53353, 60461, 50913, 65127, 58828, 53611, 62520, 58828, 51111, 52191, 63265, 51068, 52476, 50598, 55924, 52865, 57343, 60443, 63811, 52085, 61231, 63811, 51100, 60542, 52783, 50436, 79022, 56530, 67941, 53180, 68633, 52259, 62230, 63776, 50913, 60822, 60542, 53123, 60044, 60542, 51060, 53180, 77384, 52923, 53690, 50890, 57688, 50926, 50598, 56009, 53352, 59154, 63811, 56530, 57534, 63811, 51095, 50913, 54200, 53690, 50858, 51601, 61144, 51283, 60542, 51477, 63811, 51878, 55821, 59407, 51520, 50881, 50598, 61798, 50913, 60039, 60542, 50809, 55821, 80144, 58245, 60542, 62752, 50384, 54118, 54742, 52279, 53607, 58032, 63811, 77119, 50913, 59370, 79022, 57014, 58498, 50808, 61144, 51749, 61535, 51535, 58498, 51627, 52899, 59407, 51747, 52476, 50598, 58900, 50913, 60822, 63811, 55027, 60044, 61535, 50967, 52899, 50924, 52055, 50966, 50894, 57688, 52865, 50823, 53867, 57208, 50913, 59036, 61144, 50812, 52899, 53393, 53235, 50882, 51601, 58828, 50795, 58828, 51535, 61535, 51627, 58498, 52598, 52447, 59407, 57642, 51021, 53867, 52501, 64685, 50913, 65127, 61535, 71038, 62520, 52447, 50893, 50427, 58828, 58063, 53451, 66690, 62216, 55980, 60443, 61144, 56474, 61231, 63549, 50937, 50436, 52615, 50875, 55234, 59764, 63811, 51157, 63549, 51535, 60542, 51749, 63811, 51627, 53180, 52090, 53690, 50384, 54118, 60067, 50913, 60822, 50913, 60044, 53180, 79732, 52923, 51520, 57365, 50804, 75519, 50384, 54118, 52535, 58261, 50913, 57534, 50913, 54200, 51670, 58055, 52447, 50880, 51601, 61144, 51448, 60542, 51397, 63811, 51627, 55821, 51158, 52055, 50792, 50598, 54200, 50894, 77626, 60039, 55821, 79732, 50825, 57773, 52865, 50823, 53867, 55980, 57004, 50913, 59370, 50798, 52816, 56484, 58828, 50887, 61144, 51627, 61535, 51148, 58498, 51145, 52899, 50893, 52613, 50990, 50383, 54118, 63397, 61535, 56530, 60822, 50913, 60044, 61535, 50800, 52899, 50940, 51728, 50990, 50880, 57688, 51779, 53972, 50384, 52438, 65732, 63811, 56530, 59036, 52613, 50990, 66430, 58828, 50795, 52899, 50890, 51601, 58828, 51878, 61535, 51627, 58498, 51535, 52447, 51654, 54451, 50386, 54118, 52532, 60461, 50913, 65127, 58828, 52085, 62520, 52447, 50940, 50427, 58828, 52467, 52865, 50823, 53867, 52532, 60443, 50913, 61231, 58828, 50800, 52447, 67066, 52615, 50875, 55234, 59764, 63549, 51749, 63549, 51291, 60542, 51749, 63811, 51080, 53180, 65249, 52259, 62230, 59721, 50913, 60822, 50913, 60044, 53180, 50921, 52615, 50990, 54853, 50857, 57688, 52865, 60061, 50383, 54118, 52535, 58261, 50913, 57534, 52615, 50990, 55473, 58077, 52447, 50809, 51601, 61144, 51627, 60542, 51749, 63811, 52263, 55821, 51111, 53867, 52923, 52589, 50821, 77626, 60039, 55821, 80144, 50825, 57773, 52279, 50926, 50598, 55748, 61231, 55821, 55065, 59370, 50798, 52816, 56484, 61144, 51878, 58498, 51535, 61535, 51535, 52899, 51158, 53867, 54534, 52259, 58344, 50913, 60822, 50913, 60044, 52899, 50948, 51728, 50990, 50880, 57688, 75519, 50383, 54118, 61192, 50913, 59036, 52613, 50990, 66430, 53180, 50882, 51601, 58828, 51448, 61144, 51627, 63811, 51627, 52447, 51060, 53867, 52784, 52589, 53540, 60461, 50913, 65127, 50804, 54463, 62520, 52447, 52572, 61033, 52447, 72885, 50374, 52438, 52501, 54518, 52279, 50811, 57096, 52532, 61231, 50804, 60631, 58863, 54016, 55234, 59901, 63811, 50910, 63811, 51542, 62600, 51419, 58828, 51381, 58341, 50976, 53867, 53869, 54366, 51508, 59954, 50913, 66880, 58828, 55063, 63041, 58828, 50808, 58341, 51653, 60786, 65449, 51068, 52476, 50598, 55828, 54518, 58268, 63811, 56474, 64459, 63811, 50925, 52899, 51014, 50460, 50913, 50886, 51601, 63811, 50932, 62600, 50932, 60542, 51097, 53180, 50824, 51190, 52438, 64685, 50913, 59490, 60542, 55027, 54366, 64527, 60542, 51582, 52535, 52923, 73892, 53867, 56009, 58528, 63811, 53611, 57107, 63811, 53611, 55698, 60542, 51381, 63811, 51542, 67061, 51542, 55821, 70958, 50894, 51715, 52438, 60067, 50913, 61800, 60542, 50840, 55821, 51130, 52535, 54880, 72634, 60542, 50808, 55821, 51603, 50804, 60061, 50384, 54118, 55980, 62564, 63811, 62516, 50913, 59175, 58498, 50910, 51601, 58498, 51199, 61535, 51108, 67061, 50932, 52899, 51012, 51715, 52438, 60461, 63811, 55027 ]

[ 0, 4688, 20425, 8, 17627, 17274, 3152, 2214, 4246, 81, 9756, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 18558, 18046, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 20902, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 15352, 30054, 3222, 5785, 9, 381, 6, 274, 119, 1176, 406, 6, 8, 230, 40286, 14, 5042, 7, 63, 1313, 8, 1372, 5466, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 51763, 52570, 50927, 52570, 50798, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51282, 52570, 50417, 51083, 52570, 50419, 51061, 56094, 50420, 51023, 56094, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 79958, 52294, 66911, 51634, 50806, 50799, 51622, 51167, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 51685, 50799, 53707, 52570, 51096, 52570, 50798, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51616, 52570, 50417, 51557, 52570, 50419, 51118, 56094, 50420, 51061, 56094, 52874, 50980, 50422, 51023, 56094, 50432, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50806, 50799, 51622, 51167, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 51685, 70782, 51469, 50953, 71062, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51083, 52500, 50417, 51020, 52500, 50419, 51023, 52500, 50420, 52874, 56925, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50896, 50799, 52124, 51469, 51011, 71062, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51815, 52500, 50417, 51282, 52500, 50419, 51118, 52500, 50420, 51089, 52500, 52874, 50980, 50422, 51023, 51585, 50432, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50896, 68266, 52570, 50927, 52570, 50798, 51469, 50804, 51469, 50791, 51469, 50852, 51469, 51206, 51469, 50416, 51282, 52570, 50417, 51083, 52570, 50419, 51061, 56094, 50420, 51023, 56094, 52874, 56925, 52375, 52322, 52341, 79958, 52294, 66911, 51634, 50806, 50799, 51622, 51167, 50422, 52874, 51167, 50430, 52375, 68765, 52341, 51285, 54141, 50806, 51382, 50821, 53061, 52935, 50804, 50806, 50799, 50650, 51409, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 75782, 50927, 51575, 52692, 51347, 50980, 51347, 50980, 51497, 50980, 51497, 50980, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 75782, 50927, 53374, 71634, 50980, 51200, 50980, 51188, 50980, 51188, 50980, 50927, 79037, 50927, 74125, 75782, 50927, 52420, 51575, 53072, 52309, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 50927, 58716, 52322, 50927, 51575, 52692, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 50927, 53374, 68560, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 59147, 59147, 50927, 51575, 52692, 59147, 59147, 60889, 60889, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 61138, 61138, 63051, 63051, 50927, 53374, 50799, 51347, 50980, 51347, 50980, 51404, 50980, 51404, 50980, 50927, 79037, 50927, 74125, 75782, 50927, 52420, 51575, 53072, 52309, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 50927, 58716, 52322, 50927, 51575, 52692, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 50927, 53374, 68560, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 75782, 50927, 51575, 52692, 51347, 50980, 51347, 50980, 51497, 50980, 51497, 50980, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 75782, 50927, 53374, 71634, 50980, 51200, 50980, 51188, 50980, 51188, 50980, 50927, 79037, 50927, 74125, 75782, 50927, 52420, 51575, 53072, 52309, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 50927, 58716, 52322, 50927, 51575, 52692, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 50927, 53374, 68560, 50980, 51409, 50980, 50927, 79037, 50927, 74125, 51188, 50980, 51188, 50980, 51245, 50980, 51245, 50980, 50927, 52420, 51575, 53072, 52309, 50927, 58716, 52322, 59147, 59147, 50927, 51575, 52692, 59147, 59147, 60889, 60889, 50927, 58716, 53072, 52610, 50927, 52420, 69284, 61138, 61138, 63051, 63051, 50927, 53374, 50799, 51347, 50980, 51347, 50980, 51404, 50980, 51404, 50980, 61485, 52060, 56191, 51553, 53113, 61485, 51456, 54007, 51224, 52422, 75782, 61485, 51326, 55104, 51289, 52686, 51347, 51685, 51347, 51685, 51497, 51685, 51497, 51685, 71654, 52322, 61485, 52060, 56050, 51553, 53247, 61485, 51456, 54787, 51224, 53153, 61485, 51326, 55982, 51289, 52935, 51612, 50806, 71654, 50806, 50799, 52290, 51226, 78623, 50945, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52290, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51226, 51499, 50980, 51499, 50980, 51415, 58571, 53374, 51039, 52247, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 50980, 61138, 61138, 51133, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 53811, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51285, 51188, 50980, 51188, 50980, 51271, 58571, 53374, 51039, 52247, 56349, 56349, 50953, 52420, 66592, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52792, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51226, 66157, 66157, 50964, 79037, 75782, 50927, 74125, 75782, 50927, 52420, 66592, 52792, 51226, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 52792, 50980, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 52792, 51226, 51969, 50980, 51969, 50980, 51213, 58571, 53374, 51039, 52247, 75782, 50927, 52420, 66592, 52792, 51226, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 52792, 50980, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 52792, 51226, 51263, 50980, 51263, 50980, 50953, 58571, 53374, 51039, 52247, 75782, 50927, 52420, 66592, 52290, 51226, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 52974, 50980, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 51612, 51285, 51200, 50980, 51200, 50980, 51011, 58571, 53374, 51039, 52247, 75782, 50927, 52420, 66592, 80169, 80169, 50927, 54214, 53374, 51570, 52692, 75782, 50927, 58716, 52610, 75782, 50927, 52420, 69284, 75782, 50927, 53374, 50799, 52290, 51226, 78623, 50945, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52290, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 53811, 51226, 51499, 50980, 51499, 50980, 51415, 58571, 53374, 51039, 52247, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51226, 61138, 61138, 51133, 79037, 56349, 56349, 50953, 74125, 56349, 56349, 50953, 52420, 66592, 52290, 51226, 75000, 50953, 54214, 53374, 51570, 52692, 56349, 56349, 50953, 58716, 52610, 52037, 50980, 56349, 56349, 50953, 52420, 69284, 56349, 56349, 50953, 53374, 50799, 52792, 51285, 51188, 50980 ]

[ 0, 250, 765, 8, 4045, 3495, 2214, 11, 211, 3694, 6, 1931, 20932, 11098, 8, 657, 149, 63, 34879, 4, 590, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 19448, 8859, 14, 115, 2773, 465, 63, 317, 11, 10, 822, 4, 20, 33215, 16739, 9, 211, 119, 6, 1918, 6, 8, 272, 119, 3639, 7, 63, 253, 10852, 25342, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50796, 50796, 50435, 51026, 51043, 50441, 50906, 51363, 50902, 51077, 50445, 51026, 51277, 50451, 50900, 67182, 51283, 50455, 62926, 50461, 50877, 51345, 51809, 50902, 51108, 50423, 50899, 51233, 60564, 79306, 51490, 50433, 51026, 51253, 50436, 50876, 51077, 50442, 50902, 51091, 50446, 51026, 51328, 50452, 50871, 51391, 72786, 51242, 55694, 51095, 50417, 51026, 51775, 50421, 50899, 51337, 50424, 50861, 51110, 50427, 50906, 51753, 50902, 51417, 50430, 51120, 51412, 50433, 50900, 51312, 50434, 50989, 52519, 50436, 62926, 50443, 50877, 51345, 50446, 51378, 51328, 50452, 50899, 51423, 50456, 50906, 50879, 54955, 51576, 73401, 51013, 50418, 50861, 51466, 50423, 50902, 51358, 50427, 51026, 51328, 50433, 51120, 64716, 51884, 50906, 51364, 50436, 51026, 50822, 51050, 51277, 50446, 51026, 51391, 50447, 51026, 51627, 50453, 50902, 65818, 50887, 54594, 51051, 50415, 73750, 50418, 60158, 50931, 57055, 51381, 50424, 50902, 51215, 77095, 51806, 73866, 51022, 50861, 65090, 51337, 50437, 51001, 51060, 50900, 50981, 58365, 51267, 50447, 50902, 51077, 50453, 70223, 50876, 51364, 50456, 51026, 51775, 50457, 50900, 51477, 54594, 50878, 79251, 51481, 50423, 50871, 50937, 50424, 50899, 62973, 50902, 51965, 50427, 50906, 59819, 51679, 79471, 51242, 73866, 50866, 74206, 50918, 50440, 50956, 51419, 50443, 71152, 63775, 50446, 60003, 50997, 51645, 50453, 50931, 55416, 50956, 51387, 50457, 50956, 54529, 77919, 54594, 51022, 50906, 51797, 50902, 51183, 79251, 50837, 50997, 51233, 50997, 51484, 63715, 51337, 50425, 72302, 50427, 50997, 51074, 50428, 50906, 50849, 50431, 75716, 50434, 50899, 51142, 50900, 50981, 50437, 50877, 52424, 51027, 51233, 50444, 50989, 51675, 50447, 51027, 52169, 50301, 58369, 50997, 51210, 50453, 73630, 50877, 51291, 50457, 51026, 51277, 51026, 51253, 50460, 50899, 51166, 51601, 50902, 50918, 50419, 51026, 51006, 50425, 50900, 50981, 56947, 50827, 50428, 62926, 50989, 51679, 50429, 50899, 50932, 50434, 50877, 51345, 50438, 51378, 51108, 55989, 71703, 50899, 51233, 50448, 50906, 79306, 52482, 51026, 51542, 50454, 51026, 51380, 50458, 50876, 51472, 51809, 77383, 50902, 51294, 50419, 50899, 53130, 50299, 51277, 50425, 50871, 51391, 54439, 50912, 50428, 50861, 51328, 50429, 50989, 75256, 68929, 50906, 51095, 62322, 51576, 51026, 51097, 50442, 50899, 51337, 50445, 50861, 51110, 50448, 50906, 51481, 50931, 51291, 50451, 51120, 51775, 50454, 65113, 50900, 50981, 50457, 50899, 51679, 50458, 62926, 50989, 51466, 51809, 50877, 50991, 50419, 51027, 51253, 78091, 50987, 54439, 51376, 50428, 51026, 71714, 50906, 51111, 50433, 51050, 51391, 50434, 51120, 65598, 50900, 61148, 51027, 51481, 50439, 67908, 50445, 50906, 51568, 50302, 51576, 50902, 50918, 50448, 50997, 51328, 50454, 51027, 51142, 50906, 51238, 50455, 50871, 51074, 50457, 50997, 51753, 50458, 76339, 51601, 51027, 50912, 50419, 51026, 51542, 56978, 51145, 50425, 50902, 60126, 51158, 50435, 68929, 51081, 56298, 72420, 50439, 50999, 51241, 50445, 50931, 51472, 50448, 50900, 51380, 50452, 50899, 57098, 51040, 64461, 50861, 69941, 50900, 69246, 51191, 50461, 50900, 51961, 52177, 50861, 51003, 58973, 51127, 53523, 51051, 76946, 51364, 50429, 51026, 51484, 78313, 51212, 50436, 58882, 50439, 62972, 50900, 51806, 50445, 50861, 50937, 50448, 50956, 77413, 51060, 50452, 50956, 51006, 50454, 50997, 51008, 50455, 50861, 51194, 50906, 52188, 50458, 50956, 51862, 50902, 53259, 50461, 50871, 54011, 50301, 51775, 51809, 76584, 50417, 50900, 50981, 50419, 50871, 51328, 58060, 51620, 73630, 50427, 50877, 51472, 78414, 51174, 50430, 51120, 51328, 50433, 67136, 50436, 65997, 50437, 50861, 51145, 79807, 51419, 50440, 51026, 50932, 64118, 51233, 50449, 50906, 51060, 75312, 55293, 50989, 50829, 51026, 51775, 50458, 50871, 51277, 50459, 50877, 51013, 52177, 50899, 62531, 51101, 53502, 62658, 51026, 54143, 56759, 65789, 51576, 50427, 50877, 60412, 50900, 51391, 78313, 51380, 50435, 68062, 62204, 51073, 50441, 51001, 51177, 50445, 50900, 75102, 50900, 51210, 50448, 50877, 57824, 51026, 51108, 50451, 74952, 60990, 50457, 50876, 60778, 51112, 52478, 62972, 50419, 50871, 51351, 50421, 51026, 51380, 50422, 63503, 50902, 51472, 50428, 50906, 51294, 50431, 51026, 51277, 50437, 51026, 51051, 57267, 51134, 50441, 51026, 51242, 50899, 51381, 50448, 50906, 51358, 50451, 51026, 51534, 50457, 50871, 51742, 50460, 50899, 50932, 50461, 51120, 51445, 53069, 50902, 51036, 50423, 51027, 51318, 50429, 50899, 51210, 78120, 59409, 50859, 50989, 78262, 50899, 54123, 51027, 51051, 50877, 51073, 50439, 50989, 51447, 50442, 51378, 51203, 51378, 51330, 50449, 50899, 51337, 50451, 51026, 50981, 50452, 50906, 51158, 50459, 51026, 51199, 54960, 53561, 65113, 50902, 51896, 50423, 50899, 51108, 50424, 51026, 51277, 50430, 50906, 57775, 51026, 54143, 50439, 51040, 51210, 50877, 50977, 50443, 50900, 51775, 50900, 51391, 67655, 51194, 50449, 63830, 50453, 51001, 59562, 50900, 51328, 50459, 57846, 50871, 66388, 51376, 56229, 77782, 51534, 79251, 51242, 50421, 50861, 62245, 51806, 50423, 50956, 52192, 50424, 51001, 51100, 50427, 70138, 50997, 51542, 78313, 75988, 50871, 51351, 50433, 50997, 61739, 52149, 50434, 63613, 50439, 50906, 51294, 50443, 50997, 50974, 50449, 50997, 53131, 50309, 51351, 50452, 51050, 51423, 50997, 51337, 50459, 50906, 51294, 55435, 51074, 50415, 50997, 58671, 75716, 54569, 51142, 50421, 80237, 50424, 51197, 52256, 50425, 51197, 51080, 50428, 51026, 51328, 50431, 51040, 51006, 73866, 60592, 51026, 51419, 50440, 51197, 61173, 51040, 51097, 50443, 51197, 51043, 67964, 52848, 50906, 72982, 64444, 50454, 51197, 50851, 51026, 51534, 50455, 51040, 52063, 50457, 51050, 65019, 50871, 50863, 51026, 50912, 50877, 51675, 51809, 51120, 51742, 50989, 52140, 50899, 52140, 50449, 50877, 50845, 50452, 51114, 57490, 50861, 50901, 57923, 57437, 50989, 51337, 50423, 50902, 51939, 50429, 50956, 55544, 50876, 51158, 50439, 50899, 50892, 50442, 50906, 51060, 50449, 50900, 51337, 50452, 50877, 51091, 50459, 50997, 50892, 54594, 51101, 62143, 51609, 50301, 51277, 50424, 50989, 51177, 50989, 51363, 79580, 65379, 60462, 51026, 51043, 51026, 50981, 50440, 50902, 64486, 51026, 50932, 50449, 51026, 52989, 50900, 73959, 62926, 50899, 51381, 50459, 50877, 51345, 50460, 50871, 52407, 51601, 51120, 51097, 50421, 50899, 51337, 50424, 51026, 51542, 50425, 50906, 65727, 51026, 51199, 50435, 50861, 53164, 50316, 51336, 50441, 50902, 51336, 55989, 50933, 50445, 51026, 50974, 56415, 51452, 50451, 50989, 71820, 51026, 51328, 76684, 50460, 50861, 51189, 51809, 51026, 51753, 51026, 51097, 50422, 50902, 51291, 56947, 51477, 50431, 50900, 51312, 71341, 50851, 50989, 51753, 50435, 56143, 50899, 51283, 50441, 50877, 51112, 50871, 52136, 50445, 51120, 51108, 50451, 50899, 51337, 50454, 51026, 59478, 51446, 50461, 51026, 51480, 51809, 50931, 58741, 78456, 50902, 51336, 78091, 51679, 56947, 51277, 63931, 70900, 51026, 51006, 50445, 51026, 51172, 51026, 51535, 50450, 50951, 68523, 50902, 59672, 76584, 50460, 50989, 51365, 50461, 50902, 71454, 51312, 51601, 50871, 51363, 50416, 50931, 51116, 50422, 50902, 51215, 50425, 50900, 51709, 50429, 50899, 61193, 51040, 53860, 50861, 73797, 51961, 50435, 51001, 51111, 50900, 78024, 50900, 50932, 50442, 50861, 51312, 50445, 50902 ]

[ 0, 713, 8787, 5175, 8, 3495, 2125, 6, 278, 11, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 7630, 6568, 10, 25306, 5466, 19, 63, 15352, 30054, 13305, 2301, 4, 23973, 11, 5, 762, 9, 272, 10431, 3694, 6, 24, 1575, 10, 33215, 13931, 9, 230, 10431, 406, 6, 163, 43531, 1176, 406, 6, 234, 6, 163, 43531, 1176, 406, 6, 8, 272, 119, 1176, 406, 4, 20, 15229, 18, 20425, 648, 19448, 2574, 6670, 10, 1372, 8, 7580, 6288, 676, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51034, 50628, 50420, 56387, 55191, 57279, 53052, 53366, 56298, 53483, 55103, 51706, 50892, 51057, 51232, 50981, 50424, 50652, 50353, 52524, 51232, 50822, 65510, 64318, 51435, 53193, 51232, 50822, 53481, 60234, 51639, 50822, 51057, 51099, 50822, 57473, 67075, 51489, 53728, 51099, 50822, 55165, 62149, 51561, 52921, 51275, 50822, 52709, 64318, 51561, 53193, 51308, 50822, 52461, 60234, 51198, 50822, 51057, 51099, 50955, 51119, 78130, 51153, 68102, 51512, 50955, 51516, 50942, 53629, 50878, 54513, 55440, 51429, 70258, 51706, 50955, 51198, 50955, 51232, 50955, 51777, 63125, 51435, 50955, 51057, 52381, 50981, 50417, 51099, 50822, 51639, 53728, 53483, 50822, 51280, 50822, 51232, 52921, 51119, 50905, 51777, 50905, 52461, 50822, 52709, 56739, 55374, 54378, 55760, 50915, 56387, 50915, 51964, 50915, 52176, 50915, 51057, 52070, 51423, 52381, 51423, 53629, 51423, 50422, 52778, 51328, 53519, 51328, 68337, 51328, 50423, 62610, 51242, 63716, 51242, 52649, 51242, 53646, 51242, 50430, 51964, 50959, 51847, 60675, 51706, 50844, 51119, 55167, 51144, 51269, 51057, 51494, 51022, 50417, 51275, 55740, 58001, 50851, 52649, 50851, 52381, 56779, 52746, 54325, 51869, 55100, 51706, 50851, 51119, 55270, 51144, 50907, 51057, 51494, 63301, 51275, 53004, 52381, 50844, 53629, 50844, 68089, 55266, 53481, 52921, 52778, 58519, 52929, 54150, 54733, 50857, 52461, 63163, 51708, 50857, 51706, 56579, 54733, 50857, 51516, 65598, 51708, 50857, 51706, 50857, 51057, 54733, 79171, 51708, 50857, 51706, 65149, 52176, 50857, 53483, 54657, 51144, 50905, 51516, 50822, 52461, 54252, 51153, 50822, 52929, 52921, 51232, 50867, 51516, 50822, 53629, 73881, 51144, 58594, 51232, 50867, 51153, 50822, 52929, 66142, 51144, 53860, 51232, 50867, 51516, 50822, 52461, 59909, 51144, 56030, 51232, 50867, 51153, 50822, 52929, 65859, 51144, 50867, 51057, 51232, 50867, 51516, 50822, 53629, 50822, 50416, 51144, 60209, 51232, 50867, 51153, 50822, 52929, 73167, 51144, 55105, 51232, 50867, 51516, 50822, 52461, 65532, 51144, 55754, 51232, 52921, 51119, 51363, 52070, 51363, 51516, 51363, 52709, 57250, 57473, 53513, 55374, 55167, 57279, 51363, 51964, 51363, 52533, 51363, 59150, 50844, 51034, 58889, 50892, 50652, 50351, 55041, 51512, 50905, 51275, 50905, 51516, 50905, 51578, 61544, 52785, 50844, 53038, 53450, 53483, 50987, 51847, 60539, 51512, 50905, 51275, 50905, 51516, 50905, 51578, 54137, 58889, 50892, 50652, 50351, 55200, 51489, 50874, 51837, 57904, 51561, 50874, 51034, 52537, 58879, 51144, 50874, 51516, 56174, 51777, 53881, 53629, 50974, 68089, 55544, 51308, 50874, 52381, 53720, 51275, 54123, 51494, 61112, 51847, 50838, 51429, 50974, 52709, 50874, 72570, 54043, 58889, 50874, 51034, 51198, 50844, 51099, 50844, 51639, 50844, 57473, 50844, 50652, 50348, 56624, 58889, 53728, 68337, 54252, 52533, 50844, 51708, 50844, 51144, 50844, 53629, 52921, 53519, 56739, 52477, 50844, 51847, 50844, 51099, 50844, 52353, 53193, 51578, 54378, 54513, 52691, 62610, 50854, 52649, 50810, 52929, 50844, 65510, 62079, 56387, 53103, 53038, 50810, 51275, 50844, 52070, 50844, 51837, 55876, 53646, 50810, 51034, 52746, 60685, 51869, 50810, 51308, 50844, 51429, 50844, 51639, 54351, 51232, 54347, 51876, 52654, 51847, 50810, 80062, 72157, 52381, 57250, 52477, 50810, 51232, 50854, 51144, 50810, 51837, 53193, 54513, 54378, 51153, 51022, 51516, 58087, 51561, 51074, 51489, 51387, 50441, 52461, 57043, 51153, 51123, 52929, 71106, 51561, 51079, 51489, 51166, 51034, 55374, 62311, 51153, 50984, 51578, 63961, 51561, 50972, 51489, 75741, 51435, 54325, 51099, 50907, 54513, 72373, 51847, 50838, 51429, 57524, 59150, 55270, 51512, 50912, 51837, 54938, 51847, 50974, 51429, 77131, 68089, 54478, 51099, 50851, 52461, 57060, 51280, 50905, 51119, 50972, 51034, 52353, 56115, 51494, 50827, 52778, 58879, 51280, 50892, 51308, 56909, 50652, 50348, 53881, 51198, 50874, 51494, 50874, 52709, 65005, 51847, 50827, 51232, 54221, 52040, 50827, 51561, 50874, 51512, 50905, 51153, 50905, 51516, 54137, 51708, 50822, 51706, 57366, 51964, 51412, 50444, 50628, 52533, 50974, 51847, 50838, 51099, 50838, 51119, 50972, 52070, 64180, 50627, 51034, 50627, 53038, 50974, 52746, 50838, 51876, 50974, 51198, 50972, 51512, 50838, 51429, 71713, 50627, 50420, 50626, 54733, 50974, 52746, 50974, 51948, 50972, 52929, 50972, 55165, 60147, 50626, 56686, 50838, 50424, 51964, 50972, 50425, 51706, 55191, 50626, 51578, 50838, 52461, 50972, 57473, 66665, 50626, 50432, 50628, 59150, 55098, 51869, 50874, 51144, 50874, 52929, 52691, 51232, 50838, 51494, 50974, 51639, 50905, 51034, 51847, 51363, 51144, 51363, 50420, 51516, 52397, 50423, 52533, 55124, 51847, 51432, 51561, 51387, 51153, 51737, 51275, 51737, 50432, 56686, 51123, 51964, 50984, 51119, 51123, 51429, 50984, 52381, 52519, 50438, 51847, 52460, 51144, 53096, 50447, 52533, 51123, 51034, 51847, 50984, 51561, 51123, 51153, 51166, 51275, 51166, 51516, 76194, 56686, 50984, 51964, 51123, 51119, 50984, 51429, 50984, 52381, 53280, 50426, 52533, 65472, 52746, 54661, 51198, 51376, 51308, 51074, 51777, 55659, 52649, 50912, 51516, 51074, 50441, 51708, 54947, 51144, 51254, 51639, 51079, 51034, 51869, 50851, 52381, 50972, 52778, 51108, 50417, 51847, 54711, 52649, 50972, 51706, 50972, 51275, 50972, 51578, 55191, 51837, 58125, 51232, 50827, 51144, 52739, 54733, 50972, 52746, 50972, 51516, 50892, 54513, 53913, 52040, 50851, 51153, 51330, 51639, 51330, 51435, 51330, 50441, 51232, 54478, 52176, 54043, 52477, 50851, 51057, 53366, 50827, 53646, 50827, 51119, 50851, 51308, 50851, 52070, 54711, 51232, 56779, 52746, 54325, 52040, 50912, 51099, 50972, 51777, 50838, 51435, 58125, 51964, 55100, 52477, 50912, 52070, 69783, 51198, 50912, 51034, 52477, 79382, 50972, 51494, 50972, 51308, 51174, 50417, 52533, 55869, 52176, 50912, 51578, 51174, 50423, 52649, 54325, 57279, 50912, 75434, 51578, 50972, 52929, 70342, 51964, 55100, 57279, 50822, 52533, 50822, 51876, 54378, 57279, 50851, 52533, 50851, 51876, 53269, 51494, 50933, 51275, 50933, 51516, 51079, 50442, 51706, 62565, 51429, 64043, 51578, 50912, 51837, 50912, 57473, 50912, 51057, 51847, 50972, 51099, 50972, 51578, 50912, 51837, 50912, 57473, 55869, 63716, 50827, 51964, 50827, 52176, 53591, 51516, 50838, 54513, 52688, 63716, 50827, 51964, 50827, 52176, 54889, 63716, 50827, 51964, 50827, 52176, 50827, 51308, 50827, 52381, 52739, 52070, 50838, 52461, 65867, 51561, 50874, 51119, 50827, 51489, 50874, 51435, 50874, 51057, 52381, 50874, 52353, 50827, 53519, 56115, 55374, 54448, 51494, 50974, 51639, 50974, 51837, 50874, 55165, 50874, 65510, 56174, 51837, 50874, 55165, 50874, 65510, 53881, 51198, 71714, 51308, 50822, 51489, 50822, 52381, 53193, 51099, 50905, 51308, 50822, 51489, 50822, 51435, 50905, 52381, 65859, 51639, 50959, 52353, 50959, 51057, 58001, 50822, 51964, 50822, 53483, 50822, 52040, 50905, 50416, 51948, 50959, 58889, 50959, 50417, 58001, 50822, 51964, 50822, 53483, 53728, 51516, 50892, 52929, 61544, 52537, 50844, 51876, 50844, 51512, 53450, 60196, 50845, 53038, 50892, 51489, 50822, 52461, 50822, 51837, 56739, 51489, 50822, 52461, 50822, 51837, 53193, 51708, 66859, 51099, 50905, 51777, 50905, 51639, 50905, 50436, 51876, 50878, 61234, 51494, 58793, 52461, 50844, 53519, 50844, 65510, 55266, 60196, 50844, 53038, 50844, 52778, 50844 ]

[ 0, 250, 2635, 12, 20764, 5175, 8, 25771, 2214, 14, 7630, 6568, 10, 19448, 8, 5679, 26709, 5466, 6, 10686, 13, 822, 2369, 36546, 50, 1619, 9629, 4, 20, 15352, 30054, 15229, 1575, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 70, 8216, 7, 63, 32625, 13569, 9862, 4, 23973, 11, 83, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 17407, 30, 10, 33215, 16739, 9, 230, 6, 163, 119, 406, 6, 2344, 757, 6, 381, 6, 8, 1918, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50429, 53817, 50925, 51615, 61964, 53389, 50878, 51656, 51014, 50437, 53541, 50833, 52187, 62281, 52133, 50810, 51711, 50894, 50443, 51881, 50854, 51838, 79942, 52033, 50854, 52225, 50950, 50449, 52332, 50862, 53129, 78780, 51615, 50813, 52137, 62172, 51656, 50813, 52430, 59730, 52187, 50857, 53499, 52884, 51711, 64853, 52626, 58150, 51838, 50862, 52886, 59616, 52225, 50839, 53828, 56912, 52036, 50839, 53718, 50817, 53541, 51945, 51881, 52392, 52332, 51991, 60691, 51359, 53817, 51151, 50799, 53129, 51534, 55248, 50993, 54311, 51307, 50423, 51838, 51423, 52886, 50975, 50431, 52225, 50974, 53828, 62472, 53129, 51592, 55248, 51352, 50461, 53181, 51307, 53100, 51307, 52033, 51307, 58366, 51353, 51615, 52149, 55556, 51264, 50424, 52137, 50932, 54307, 50824, 50437, 53129, 51380, 55248, 51072, 50448, 52225, 51097, 53828, 73300, 51838, 51534, 52886, 50993, 52133, 51945, 52033, 51714, 59439, 51307, 50799, 53389, 51359, 51844, 51991, 50422, 52187, 51423, 53499, 74512, 51711, 51481, 52626, 51388, 50438, 51838, 51939, 52886, 51352, 50461, 51615, 51183, 55430, 51359, 50799, 51656, 51422, 51881, 51717, 51181, 51945, 50425, 52225, 50932, 53828, 51237, 50437, 51838, 51108, 52886, 51237, 52332, 51562, 50448, 51863, 51109, 51711, 51097, 52626, 50824, 50460, 52187, 51534, 53499, 50993, 50461, 56617, 51264, 52187, 51264, 51615, 51359, 54281, 51991, 50422, 51615, 51534, 52137, 50993, 50430, 51656, 50974, 52430, 62472, 52187, 52015, 53499, 51407, 50461, 51615, 51945, 52187, 51945, 51881, 52069, 59439, 51151, 53389, 51293, 56682, 51605, 50424, 52187, 51097, 53499, 50824, 50436, 53129, 51097, 55248, 50824, 50448, 52137, 51108, 54307, 51237, 50460, 52430, 51939, 55815, 51352, 50461, 52033, 51307, 51615, 51353, 59439, 51353, 53389, 51359, 52133, 52250, 56682, 51605, 50450, 51711, 51097, 52626, 73300, 52225, 51244, 53828, 51009, 50799, 51656, 51077, 55430, 51945, 52332, 51945, 51181, 51945, 50436, 51863, 51397, 50437, 51838, 51749, 52886, 51300, 50461, 52769, 51623, 50799, 53817, 52783, 51137, 51605, 51944, 51358, 50415, 53541, 52783, 51881, 52783, 51808, 51358, 50416, 51669, 51358, 50427, 52332, 51679, 50461, 53181, 51452, 53100, 51803, 52033, 51452, 55556, 51714, 52769, 51351, 50415, 51434, 51391, 51773, 51241, 50416, 52361, 51191, 50417, 52043, 50983, 50461, 59439, 51293, 53389, 51449, 52133, 51445, 52033, 51243, 51615, 51445, 51528, 53589, 54857, 50812, 51844, 50943, 52806, 51894, 51434, 51127, 51607, 51103, 52043, 64739, 51170, 53045, 54446, 50920, 50820, 51768, 61213, 53127, 50840, 51974, 53589, 52539, 50862, 51374, 71161, 51170, 52539, 50855, 51669, 51377, 50444, 51270, 52793, 50836, 51955, 56580, 55657, 50840, 51349, 50892, 52043, 51178, 53462, 56233, 54800, 50840, 51844, 50987, 50457, 51434, 60870, 51881, 52071, 51528, 56581, 56691, 50880, 53541, 51391, 62146, 51145, 51743, 51183, 78282, 51857, 50915, 52745, 51204, 50420, 51170, 52539, 50836, 51440, 61823, 52033, 51100, 52225, 50976, 51768, 62131, 52793, 50855, 51440, 51100, 51669, 51111, 52327, 51060, 50431, 51881, 50805, 51838, 52030, 51728, 51087, 52786, 50890, 51857, 50978, 52745, 59380, 53181, 50889, 51863, 50824, 52255, 51448, 56617, 64050, 51170, 52793, 50857, 51374, 51241, 50444, 51270, 55790, 50813, 51660, 51363, 51808, 50878, 50449, 53541, 51013, 52187, 50824, 51955, 56580, 56136, 50890, 51808, 50978, 51669, 50873, 54050, 59960, 51270, 52786, 50834, 51374, 50977, 51660, 66211, 52133, 52069, 52033, 51307, 75281, 59439, 51293, 53389, 51313, 51528, 52079, 56455, 50857, 52133, 51775, 51711, 50896, 51349, 51351, 52806, 51077, 56952, 56455, 50867, 51434, 50901, 57417, 50839, 51768, 52079, 58251, 50855, 51607, 50812, 51974, 52079, 54877, 50867, 51374, 51218, 51434, 51100, 51607, 51121, 52043, 51178, 50438, 50920, 56128, 54758, 51270, 56691, 50855, 51955, 61758, 57772, 50859, 51349, 50978, 53462, 56233, 52523, 50867, 51374, 50978, 50460, 55430, 51151, 50461, 51615, 51183, 51656, 51353, 51881, 51717, 51528, 56581, 56691, 50808, 51181, 50915, 51614, 51191, 53335, 50889, 51607, 50807, 51440, 57519, 51170, 52499, 50810, 51768, 61213, 55150, 52658, 51728, 51087, 51987, 50833, 51181, 62517, 52332, 53478, 50438, 51170, 53045, 50810, 51181, 51241, 50444, 51270, 52786, 54004, 51383, 66261, 57803, 52955, 51170, 52523, 50844, 51181, 78971, 52187, 52222, 60691, 52071, 53817, 53142, 51528, 53589, 54857, 50812, 51137, 51003, 52769, 51692, 53335, 50914, 51808, 50943, 52806, 50855, 51434, 51400, 50420, 51170, 53045, 54446, 50920, 50820, 51768, 61213, 53127, 50840, 51434, 50886, 51974, 53589, 52539, 50862, 51137, 51318, 53335, 50943, 51434, 51003, 51808, 56389, 51170, 52539, 54840, 51270, 52793, 50836, 51955, 56580, 55657, 61519, 51656, 50800, 52430, 52163, 50798, 56233, 54800, 50840, 51137, 50866, 52769, 62309, 51615, 50910, 52137, 62181, 52133, 51448, 51615, 51397, 52033, 51562, 59439, 51047, 53389, 51145, 51528, 56581, 56691, 50880, 51656, 51343, 52430, 51029, 51349, 51391, 52806, 50943, 51434, 51346, 52043, 51294, 51607, 51294, 50420, 51170, 52539, 50836, 51768, 62131, 52793, 62225, 52033, 50859, 52225, 52119, 51728, 51087, 52786, 50890, 51349, 50977, 52806, 59880, 51881, 50897, 51838, 61109, 52033, 50893, 52225, 50802, 55430, 64164, 51170, 52793, 50857, 51615, 50943, 51656, 51397, 51881, 52644, 51181, 51003, 51614, 51351, 51440, 51191, 53335, 51191, 51607, 51204, 50444, 51270, 55790, 50813, 53541, 50987, 52187, 51030, 50449, 52332, 51484, 53181, 50914, 51863, 50824, 51955, 56580, 56136, 54663, 51270, 52786, 50834, 51181, 50987, 51614, 60870, 60691, 52151, 52187, 52071, 53817, 51445, 51528, 52079, 56455, 50857, 51615, 53142, 51137, 51003, 51434, 51452, 52769, 51945, 53335, 51605, 51808, 51518, 51669, 52392, 56952, 56455, 55754, 50920, 50839, 51768, 52079, 58251, 50855, 51974, 52079, 54877, 50867, 51137, 51562, 50438, 50920, 56128, 54758, 51270, 56691, 64457, 51615, 51286, 52137, 50976, 51955, 61758, 57772, 50859, 51434, 74799, 52187, 51388, 53499, 50976, 53462, 56233, 52523, 50867, 51137, 50854, 51808, 54794, 51640, 65540, 52133, 51127, 52255, 51183, 51743, 51103, 54720, 51103, 51528, 56581, 56691, 50808, 51711, 51551, 52626, 51009, 51132, 51204, 53369, 50914, 51929, 51101, 52327, 51221, 51607, 51056, 50420, 51170, 52499, 50810, 51515, 50873, 51768, 61213, 55150, 50810, 51929, 57067, 51728, 51087, 51987, 50833, 51132, 50977, 51607, 59921, 51743, 51103, 52036, 58769, 51170, 53045, 50810, 51743, 51417, 58366, 51148, 53181, 51047, 51526, 51116, 52557, 50914, 51773, 51110, 51669, 51364, 52327, 51189, 50439, 51881, 51397, 50442, 52255, 51310, 50444, 51270, 52786, 55876, 51132, 53140, 51383, 66261, 57803, 50812, 51727, 55670, 51170, 52523, 50844, 51132, 50845, 51773, 59322, 51863, 51894, 52735, 51795, 50461, 51615, 55068, 51881, 52121, 51863, 51717, 57166, 52121, 51528, 53589, 54857, 50812, 51533, 51003, 55677, 51145, 52257, 51896, 51669, 51896, 51773, 66526, 51170, 53045, 54446, 50920, 50820, 51768, 61213, 53127, 50840, 51974, 53589, 52539, 50862, 51533, 51397, 52027, 64488, 51170, 52539, 54840, 51270, 52793, 50836, 51669, 51158, 51955, 56580, 55657, 50840, 52257, 51486, 53462, 56233, 54800, 50840, 51615, 51100, 52137, 50976, 51533, 50833, 51773, 51790, 50459, 51132, 50874, 51528, 56581, 56691, 50880, 51863 ]

[ 0, 250, 32625, 15855, 2125, 4246, 41, 21979, 8669, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 590, 10, 2635, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 18399, 11, 5, 762, 9, 83, 3694, 6, 10346, 30, 10, 33215, 13931, 9, 381, 406, 73, 534, 10431, 6, 1918, 6, 381, 6, 8, 1918, 4, 20, 34879, 9769, 10, 25306, 5466, 6, 442, 24, 157, 12, 9228, 4560, 25, 10, 19834, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 51444, 51134, 50417, 51131, 53066, 50960, 54347, 50970, 52654, 50998, 55730, 51131, 52658, 53805, 50905, 50998, 54112, 50929, 52729, 51444, 50822, 60918, 50441, 52012, 53743, 51444, 50822, 50947, 59956, 51504, 53140, 51574, 50822, 51317, 60489, 52012, 53820, 51574, 50822, 50947, 59097, 51207, 50822, 58700, 50905, 50960, 56624, 51131, 53066, 51444, 50905, 50960, 54347, 50970, 52654, 53805, 50905, 50998, 55730, 51131, 52658, 52012, 50905, 50998, 54112, 50929, 52729, 51444, 50822, 60918, 50441, 52012, 53743, 51444, 50822, 50960, 59956, 51504, 53140, 51574, 56936, 52012, 53820, 51574, 54846, 51207, 50822, 58700, 67943, 50947, 53066, 51444, 50905, 50970, 54347, 50947, 52654, 51504, 50905, 50960, 55730, 50970, 52658, 51444, 50905, 51131, 54112, 50986, 52729, 51207, 50822, 51246, 62532, 51444, 53743, 53271, 50822, 50960, 59956, 51444, 53140, 51207, 50822, 57662, 50453, 51246, 53820, 51444, 50822, 51064, 51203, 50459, 51504, 50822, 65962, 67943, 50929, 53066, 71602, 50998, 54347, 50929, 52654, 51725, 50905, 50986, 55730, 50998, 52658, 51574, 51412, 51207, 54112, 51246, 52729, 51131, 62532, 51725, 53743, 52012, 50822, 59655, 50447, 51725, 53140, 51504, 50822, 50970, 60489, 51131, 53820, 51725, 50822, 50947, 51203, 50459, 51574, 50822, 60533, 67943, 50970, 53066, 51504, 50905, 50960, 54347, 50970, 52654, 51207, 50822, 51246, 59910, 53271, 53193, 51574, 50822, 50929, 51203, 50435, 51207, 52691, 51725, 70140, 50998, 53103, 51574, 50905, 50986, 54803, 50998, 52843, 51504, 50822, 51131, 60489, 52012, 53820, 51444, 50822, 50970, 51203, 50459, 51504, 50822, 76572, 67943, 50960, 53066, 51574, 50905, 51246, 54347, 50960, 52654, 51207, 59910, 51725, 53193, 53271, 50822, 50998, 58952, 51725, 52691, 51504, 50810, 60918, 50441, 51725, 53103, 51504, 54803, 51131, 52843, 51207, 56366, 51725, 52863, 51207, 54678, 51246, 50810, 62954, 63118, 50986, 53066, 51504, 50845, 50970, 54347, 50947, 52654, 51574, 50845, 50929, 55730, 50986, 52658, 51725, 50845, 50929, 54112, 51064, 52729, 51504, 50810, 61498, 50441, 51725, 53103, 51504, 50810, 51032, 59956, 51131, 52843, 51207, 50810, 50998, 60489, 51725, 52863, 51207, 50810, 51032, 59097, 51246, 50810, 62954, 50845, 50970, 56624, 50986, 53066, 51504, 50845, 50970, 54347, 50947, 52654, 50929, 55730, 50986, 52658, 50929, 54112, 51064, 52729, 61498, 50441, 50986, 53103, 51131, 50810, 50970, 59956, 50986, 52843, 51504, 50810, 60265, 50453, 51131, 52863, 51725, 50810, 50947, 59097, 51574, 50810, 60533, 50845, 51438, 56624, 51067, 53066, 51504, 50845, 50947, 54347, 51067, 52654, 72878, 50970, 55730, 50947, 52658, 51725, 50845, 50960, 54112, 50970, 52729, 51311, 50810, 57662, 50441, 50960, 53103, 51207, 50810, 51076, 59956, 51311, 52843, 69125, 51067, 60489, 50929, 52863, 51311, 50810, 51438, 59097, 69125, 63133, 50845, 51292, 56624, 51032, 53066, 51574, 50845, 50929, 54347, 51032, 52654, 51207, 50845, 50998, 55730, 50929, 53387, 53092, 50845, 50986, 54112, 50998, 52729, 51131, 50810, 60918, 50441, 50986, 53103, 51504, 50810, 50947, 59956, 51131, 52843, 51725, 50810, 60265, 50453, 51504, 52863, 52012, 50810, 51292, 59097, 51725, 50810, 50799, 53092, 50845, 51067, 56624, 51076, 53066, 51444, 50845, 51169, 54347, 51076, 52654, 51574, 50845, 50998, 55730, 51169, 52658, 51846, 50845, 51311, 54112, 50960, 52729, 59655, 50441, 51131, 53743, 51504, 50822, 51032, 51203, 50447, 51131, 53140, 51444, 56936, 51504, 50822, 50947, 52863, 51131, 50822, 50970, 54678, 64268, 64102, 50799, 66315, 62151, 50417, 51207, 53728, 51574, 50822, 51076, 51203, 50423, 51207, 52921, 51725, 56739, 51574, 50822, 50929, 52658, 51207, 50822, 50998, 54112, 66315, 50929, 52729, 51131, 50822, 59655, 50441, 51504, 53743, 51444, 50822, 50947, 51203, 50447, 51504, 53140, 53092, 56936, 51444, 50822, 50970, 52863, 51504, 51412, 50960, 54678, 64837, 73934, 56624, 51574, 50822, 51032, 53066, 51504, 50822, 51076, 54347, 51444, 50822, 50947, 52654, 51574, 50905, 51169, 55730, 51076, 52658, 51846, 50905, 50998, 54112, 51169, 52729, 52012, 50822, 61498, 50441, 51131, 53743, 51574, 55118, 51725, 53140, 52012, 56936, 51574, 53820, 51725, 54846, 51574, 50822, 65309, 67943, 51032, 53066, 52012, 50905, 51549, 54347, 51032, 52654, 51725, 50905, 50947, 55730, 51032, 52658, 52562, 50905, 51078, 54112, 50947, 52729, 52028, 50905, 51032, 56532, 50947, 53103, 51078, 54803, 50947, 52843, 50960, 56366, 50986, 53820, 51246, 54846, 51131, 50822, 61108, 67943, 51064, 53066, 71602, 51067, 54347, 51064, 52654, 53271, 50905, 50929, 55730, 51064, 52658, 53805, 50905, 50998, 54112, 50929, 52729, 51574, 50905, 51064, 56532, 50929, 53103, 50998, 54803, 50929, 52843, 50986, 56366, 51246, 53820, 51131, 54846, 51207, 50822, 58700, 67943, 50947, 53066, 51504, 50905, 51032, 54347, 50947, 52654, 52012, 50905, 50970, 55730, 50947, 52658, 53092, 50905, 50960, 54112, 50970, 52729, 51444, 50905, 51169, 56532, 50970, 53103, 50960, 54803, 50970, 52843, 51311, 56366, 51131, 53820, 51846, 54846, 52028, 50822, 65962, 67943, 50929, 53066, 51574, 50905, 51064, 54347, 50929, 52654, 71602, 50998, 55730, 50929, 52658, 51246, 50905, 51317, 54112, 50998, 52729, 53805, 50905, 50929, 56532, 50998, 53103, 51317, 54803, 50998, 52843, 51131, 56366, 51207, 53820, 51504, 54846, 51574, 50822, 58700, 67943, 51131, 53066, 51444, 50905, 50960, 54347, 50970, 52654, 53805, 50905, 50998, 55730, 51131, 52658, 52012, 50905, 50998, 54112, 50929, 52729, 51444, 50822, 60918, 50441, 52012, 53743, 51444, 50822, 50960, 59956, 51504, 53140, 51574, 50822, 51317, 60489, 52012, 53820, 51574, 50822, 51131, 59097, 51207, 50822, 58700, 50822, 50960, 56624, 51131, 50822, 50970, 53066, 70748, 50947, 54347, 51131, 50822, 50970, 52654, 51504, 50822, 50960, 55730, 51131, 50822, 50970, 52658, 51444, 50822, 51311, 54112, 51504, 50822, 50960, 52729, 53092, 50822, 50970, 56532, 51444, 50822, 50960, 53103, 51504, 50822, 51311, 54803, 51444, 50822, 50960, 52843, 53092, 50822, 51846, 56366, 51444, 50822, 50970, 52863, 51846, 50822, 50998, 54678, 53092, 50822, 69125, 65309, 50905, 51317, 56624, 50998, 53066, 53805, 50905, 50929, 54347, 50998, 52654, 51574, 50905, 51317, 55730, 50998, 52658, 53805, 50905, 51207, 54112, 51246, 52729, 69468, 50986, 56532, 51246, 53103, 51574, 50905, 51207, 54803, 51246, 52843, 53805, 50905, 51574, 56366, 51246, 52863, 52012, 50905, 51131, 54678, 51207, 50810, 60533, 50905, 51504, 56624, 51131, 53066, 51504, 50905, 50960, 54347, 51131, 52654, 52012, 50905, 51504, 55730, 51131, 52658, 52012, 50905, 51444, 54112, 51504, 52729, 51444, 50905, 51846, 56532, 51504, 53103, 52012, 50905, 51444, 54803, 51504, 52843, 53092, 56366, 51504, 52863, 51574, 54678, 51444, 50810, 50799, 53805, 63118, 51574, 53728, 53805, 50822, 50998, 58861, 52012, 52921, 51207, 50822, 51317, 59910, 51574, 53193, 53805, 50822, 51131, 58952, 51207, 52691, 51504, 70140, 51131, 53103, 52012, 50905, 50960, 54803, 50970, 52843, 53805, 50905, 50998, 56366, 51131, 52863, 52012, 50905, 50998, 54678, 64162, 60533, 50905, 50970, 56624, 50960, 53066, 51311, 50905, 50970, 54347, 50947, 52654, 51574, 50905, 50929, 55730, 50998, 52658, 51317, 50905, 50929, 54112, 51064, 52729, 51504, 50905, 50947, 56532, 50970, 53103, 65813, 50947, 54803, 51032, 52843, 71602, 51064 ]

[ 0, 250, 765, 37903, 9, 15855, 930, 4246, 10, 5540, 13305, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 15352, 30054, 648, 2933, 8, 3722, 5466, 20455, 9, 10, 822, 19834, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 50999, 53218, 50951, 51798, 50999, 50795, 52177, 50951, 53471, 50999, 53505, 50876, 50807, 52177, 50999, 54789, 50951, 53658, 50999, 50795, 57731, 51146, 54253, 51430, 58627, 50999, 50991, 58106, 50634, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 1619, 2214, 14, 28337, 4785, 9, 15855, 8, 3495, 930, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 31391, 1672, 9590, 4, 20, 2125, 16, 278, 11, 274, 3694, 19, 10, 7212, 20889, 9, 14881, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 12608, 6, 2060, 6, 230, 10431, 6, 2060, 6, 8, 163, 43531, 6, 2351, 10, 1372, 8, 33558, 5466, 1969, 13, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50796, 50796, 65195, 50857, 51349, 51477, 52196, 51477, 60474, 50905, 51888, 55974, 64545, 52688, 50850, 67146, 50972, 52002, 51166, 52306, 63819, 62821, 75370, 57524, 50847, 52783, 50935, 52015, 51776, 53486, 53170, 52168, 50798, 50867, 51349, 55332, 53486, 50973, 52168, 52196, 52718, 50816, 50867, 51137, 51047, 51946, 63897, 51224, 56317, 51326, 50867, 51899, 50867, 54706, 50867, 51528, 76300, 50904, 51132, 50915, 51996, 57933, 50868, 50901, 51888, 64233, 53770, 50909, 51766, 50320, 50838, 52306, 51074, 54409, 68495, 50867, 51132, 58363, 72713, 51079, 51996, 65005, 50816, 53860, 50935, 51681, 50318, 50838, 53170, 50972, 52991, 77212, 50867, 51374, 61622, 66918, 51074, 53064, 50845, 54360, 50845, 53064, 50845, 53525, 54434, 50992, 52136, 51149, 51283, 52747, 53280, 54409, 51965, 51910, 68468, 53280, 50968, 51965, 53339, 59956, 51224, 54185, 50798, 50867, 51602, 50905, 52541, 67763, 51326, 54481, 50816, 50867, 51374, 50873, 53064, 50873, 63535, 63553, 51477, 50850, 53280, 51713, 51637, 52002, 55812, 51206, 50840, 51349, 51310, 50871, 51637, 50877, 55812, 52196, 51310, 50417, 51266, 54718, 51201, 55884, 51182, 54149, 51284, 53393, 53860, 51284, 59371, 51680, 50850, 52783, 51888, 52980, 52002, 53486, 50798, 50867, 51349, 59487, 52980, 50877, 53486, 52196, 61647, 51558, 55508, 54077, 51304, 55508, 76300, 50867, 51137, 51295, 51946, 51295, 50441, 51384, 54651, 51733, 54596, 51284, 58639, 51304, 54353, 51384, 53393, 55296, 50867, 51137, 50845, 51946, 59097, 51733, 50858, 50799, 51384, 59709, 52519, 50850, 51318, 51648, 53577, 52002, 51637, 51206, 50809, 51857, 58871, 53577, 50877, 51637, 56117, 76882, 51733, 54718, 51690, 50858, 51374, 50845, 53064, 58861, 51926, 54149, 51384, 53393, 50867, 51857, 50845, 56117, 59910, 51733, 55508, 53860, 51690, 62773, 53486, 50850, 52015, 51683, 55586, 52002, 52168, 50798, 55296, 50862, 51844, 51591, 50900, 55586, 50877, 52168, 55308, 80179, 51690, 51336, 51206, 50840, 51528, 50867, 51752, 69745, 51752, 66428, 51752, 50924, 51974, 50867, 51450, 50867, 52202, 52728, 51070, 54481, 52202, 50948, 51528, 50867, 51752, 52115, 52202, 53466, 52155, 51174, 51974, 50867, 52202, 51013, 51450, 54434, 53320, 69204, 51070, 50867, 51528, 76415, 51752, 50967, 50427, 51752, 51628, 50798, 64938, 51752, 50865, 51450, 68569, 52202, 55441, 51070, 54481, 51752, 50948, 51528, 53983, 51535, 51596, 61555, 51752, 58798, 51596, 50910, 51974, 51337, 51789, 50983, 51596, 50841, 51450, 73006, 51070, 50867, 51528, 51535, 51606, 71727, 51606, 50812, 51974, 51337, 51606, 73684, 51148, 51789, 63419, 51070, 54481, 51789, 50938, 51528, 51535, 51606, 73965, 51789, 50937, 50425, 51596, 50925, 50431, 51789, 50807, 51974, 51337, 51450, 51148, 50442, 51752, 76630, 51070, 60870, 51596, 51221, 51528, 53983, 51535, 50426, 51596, 66084, 51596, 50937, 51974, 51337, 51450, 51148, 51752, 70269, 51070, 54481, 51752, 50859, 51528, 51535, 51752, 77224, 51596, 51157, 51974, 51337, 51450, 52096, 52202, 50807, 50449, 51374, 51241, 52474, 63419, 51070, 50867, 59007, 51108, 50850, 52025, 50909, 51466, 50885, 51397, 50868, 51397, 50850, 75048, 53284, 50905, 51349, 51294, 51752, 51116, 50900, 51535, 50916, 51535, 75474, 51039, 55191, 50868, 52011, 50850, 51333, 50909, 64051, 52839, 50905, 51752, 66428, 51752, 50924, 53782, 51079, 56644, 51349, 56282, 50848, 51466, 50847, 51333, 50935, 51330, 50848, 51397, 79168, 50935, 75048, 53284, 50905, 51137, 51241, 52202, 59153, 51535, 68930, 50973, 51535, 50450, 50848, 51466, 50847, 51330, 50935, 51330, 50804, 54042, 54509, 76677, 50972, 73498, 52202, 50948, 59560, 51333, 50872, 51333, 50850, 70503, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51132, 51294, 51752, 58035, 51535, 70837, 75474, 51039, 50972, 52202, 53466, 50885, 51333, 67907, 50850, 51330, 50804, 52839, 50905, 52155, 51174, 53782, 51079, 56644, 75430, 52202, 60315, 50868, 52011, 50992, 51330, 50935, 51333, 51042, 51397, 50868, 51397, 50992, 75048, 53284, 50905, 51374, 51091, 51086, 51535, 50916, 51535, 50965, 51535, 67345, 51079, 53320, 69204, 50868, 52011, 50992, 51108, 50935, 52025, 50804, 54042, 54509, 76677, 50972, 51374, 50866, 59007, 51333, 50850, 51333, 50909, 52011, 50885, 51397, 50868, 51397, 50850, 75048, 53284, 50905, 51349, 51204, 50900, 51535, 50916, 51535, 75474, 50415, 51752, 50967, 51039, 55191, 50868, 51333, 50850, 51108, 50909, 56858, 52839, 68751, 51752, 74193, 51079, 56644, 51349, 50866, 50433, 51752, 54930, 50848, 51333, 50847, 51333, 50935, 51108, 50848, 51397, 79168, 50935, 75048, 53284, 50905, 51137, 51294, 50899, 51535, 68930, 50973, 51535, 50439, 52202, 55441, 50848, 51330, 78656, 50935, 65155, 54042, 54509, 50801, 55559, 50972, 51137, 50866, 51752, 50948, 57342, 51333, 50872, 51330, 50847, 52011, 50935, 51330, 50872, 51397, 79168, 50935, 51397, 51007, 75048, 53284, 50905, 51137, 51204, 51596, 60657, 51535, 68930, 50973, 51535, 50902, 51535, 51039, 50972, 51752, 50952, 57189, 51466, 50872, 51330, 78656, 50935, 52011, 50804, 52839, 50905, 51596, 50910, 53782, 51079, 56644, 51137, 50938, 51789, 50983, 51596, 53116, 50885, 51333, 50868, 51330, 50847, 70503, 51397, 50868, 51397, 50847, 75048, 53284, 50905, 51338, 51238, 50900, 51535, 50916, 51535, 68930, 67345, 58369, 50885, 51333, 50868, 52011, 50847, 65155, 54042, 50905, 51374, 59592, 76677, 50972, 59560, 51330, 50872, 51330, 50850, 51333, 50885, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51132, 51241, 51606, 51238, 50900, 51535, 70837, 75474, 51039, 55191, 50885, 51333, 50872, 52011, 50850, 64051, 52839, 50905, 51606, 52749, 50801, 51079, 56644, 51132, 50977, 51606, 51646, 50885, 51333, 50868, 51333, 50847, 70503, 51397, 50868, 51397, 50847, 75048, 53284, 50905, 51338, 51091, 51789, 51091, 50900, 51535, 50916, 51535, 68930, 50450, 50885, 51466, 50868, 51466, 50847, 64051, 54042, 54509, 76677, 50972, 51338, 50917, 51789, 50938, 57342, 51466, 69690, 50850, 51333, 50848, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51181, 51241, 51606, 51100, 50899, 51535, 70837, 75474, 51039, 50972, 51789, 50937, 50425, 51596, 50925, 57189, 51466, 50872, 51333, 50850, 51330, 50804, 52839, 79614, 51789, 53182, 50801, 51079, 56644, 51181, 58020, 50885, 51330, 50868, 51330, 50847, 70503, 51397, 50868, 51397, 50847, 75048, 53284, 50905, 51338, 51204, 50900, 51535, 50916, 51535, 68930, 50442, 51752, 51351, 67345, 58369, 50885, 51330, 50868, 51333, 50847, 64051, 54042, 54509, 76677, 50972, 51338, 78971, 51596, 51221, 57342, 51330, 50872, 51330, 50850, 51330, 50848, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51181, 51241, 50899, 51535, 70837, 75474, 51039, 55191, 50848, 51333, 69690, 50850, 59975, 52839, 50905, 51596, 66084, 51596, 50937, 53782, 51079, 56644, 51181, 58020, 50868, 51333, 50850, 51466, 50909, 51108, 76677, 50905, 51349, 51241, 51752, 51191, 58463, 51134, 72981, 76878, 50900, 51419, 50916, 51419, 50877, 67647, 50868, 51330, 50850, 51330, 50909, 58799, 54042, 54509, 76677, 50972, 51349, 50866, 51752, 50859, 59560, 51466, 50872, 52397, 50850, 51330, 50885, 51397, 50872, 51397, 50850, 75048, 53284, 50905, 51132, 51294, 51752, 51290, 50900, 51535, 70837, 75474, 51039, 55191, 50885, 51330, 50872, 51330, 50850, 65155, 52839, 50905, 51596, 51157, 53782, 51079, 56644, 51132 ]

[ 0, 250, 15352, 30054, 5175, 8, 3495, 2214, 4246, 10, 13305, 8, 2724, 368, 31365, 25999, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 8, 10, 2635, 178, 5285, 20889, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 230, 6, 8, 274, 4, 20, 6711, 7630, 6568, 10, 25306, 8, 2829, 2933, 5466, 6, 19, 17878, 9, 9066, 8, 1372, 4785, 1328, 42, 455, 12, 16096, 2214, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 57448, 51050, 59879, 50805, 51339, 52864, 51027, 69214, 57743, 57669, 67611, 53466, 51027, 69214, 57743, 58801, 71446, 53308, 51027, 69214, 57743, 58681, 76916, 53470, 51085, 61552, 51472, 51430, 51472, 66626, 69214, 61679, 53794, 50997, 69214, 61679, 53702, 50997, 69214, 61679, 62355, 61673, 51146, 50812, 54197, 56472, 51486, 51062, 51486, 56945, 69214, 57743, 53466, 51027, 69214, 57743, 53308, 51027, 69214, 57743, 53470, 51050, 52815, 51027, 69214, 57743, 53794, 51027, 69214, 57743, 58681, 77877, 56934, 51027, 69214, 57743, 50849, 54662, 74492, 58050, 51608, 50330, 55385, 50997, 64151, 57743, 53466, 50997, 64151, 57743, 60358, 51124, 51146, 65903, 50997, 64151, 57743, 58926, 61673, 51146, 52841, 51214, 67860, 60693, 51446, 51487, 51446, 50444, 51026, 51519, 50303, 64151, 57743, 58263, 53794, 51026, 51519, 50303, 64151, 57743, 58263, 53702, 51026, 51519, 50303, 64151, 57743, 58263, 62355, 66188, 51430, 50812, 53997, 62530, 61552, 50805, 51430, 52864, 78980, 52357, 52710, 76533, 52052, 64774, 60998, 55890, 53182, 68278, 51487, 52841, 72370, 51430, 52711, 60437, 51062, 52848, 60216, 51081, 52955, 59285, 68278, 55524, 61552, 52596, 51085, 61875, 50905, 54662, 51568, 50302, 53913, 51214, 72046, 50892, 54734, 51644, 50297, 59023, 51100, 58060, 63559, 50931, 51177, 59409, 50978, 60496, 74458, 50876, 68465, 50931, 66913, 50876, 51058, 50799, 53493, 51455, 50285, 51712, 50297, 58887, 51481, 50420, 52172, 66956, 75360, 52436, 76376, 51481, 50432, 52380, 66956, 70448, 53625, 51310, 52206, 61459, 57292, 51481, 58365, 73265, 50876, 77146, 52833, 52415, 50314, 51254, 50799, 52380, 51047, 51247, 51712, 50297, 58887, 51481, 58060, 75360, 50931, 51481, 50432, 50999, 51481, 50438, 51062, 51481, 50444, 50999, 73265, 52380, 71998, 77146, 52380, 65090, 51254, 50799, 52833, 51608, 50278, 51712, 50290, 58879, 50902, 55054, 50931, 54325, 52833, 51159, 51081, 52739, 51146, 53269, 53610, 51364, 51214, 63141, 53624, 50902, 63319, 50931, 66185, 50951, 54939, 51220, 53176, 53493, 52098, 50330, 50851, 50799, 53625, 51307, 51062, 50851, 52206, 51853, 50292, 59288, 51220, 52580, 51081, 50874, 50900, 51677, 50861, 51677, 50432, 50999, 52691, 50968, 53783, 50876, 52843, 50973, 54424, 63199, 50799, 53493, 50805, 51247, 69769, 56876, 51481, 50420, 52172, 65090, 75360, 52436, 71998, 51481, 50432, 52380, 71949, 70448, 53625, 51141, 52206, 61459, 57292, 51481, 58365, 73265, 50876, 77146, 52833, 68995, 51254, 50799, 52380, 51077, 51247, 51712, 50297, 58887, 51481, 58060, 75360, 50931, 51481, 50432, 50999, 51481, 50438, 51062, 51481, 50444, 50999, 73265, 52380, 76376, 77146, 52380, 61902, 51254, 50799, 52833, 51619, 50290, 51712, 50302, 58879, 50902, 55054, 50906, 54325, 52833, 65068, 52739, 52833, 62597, 53269, 53625, 51310, 52759, 51853, 50293, 57997, 50968, 54043, 50906, 53567, 50861, 54900, 53625, 63988, 50822, 50799, 53493, 51047, 51799, 51741, 50294, 50981, 57340, 58007, 61913, 53770, 50877, 57586, 62244, 53387, 50877, 58000, 64213, 55306, 51234, 51127, 50997, 71158, 50906, 60358, 63191, 53794, 53610, 61178, 58050, 60693, 52961, 53610, 61178, 58050, 60693, 50805, 50799, 55499, 51235, 51085, 51356, 50900, 51356, 57340, 54666, 56645, 53471, 57828, 70576, 55499, 53150, 53610, 73033, 57253, 65614, 54729, 55499, 73033, 54666, 56645, 51646, 57828, 51958, 50280, 52297, 50292, 66677, 72341, 69797, 52297, 50320, 63505, 53625, 50893, 50799, 53493, 64110, 65481, 63837, 72945, 51936, 50285, 52530, 50297, 51016, 55961, 51242, 56207, 51242, 59409, 75120, 50931, 74458, 50876, 68465, 53493, 66388, 66913, 53493, 60898, 51058, 50799, 53610, 51734, 50285, 51568, 50297, 55041, 50956, 65785, 53493, 51267, 79378, 58783, 60465, 53786, 51267, 51247, 51568, 50297, 55200, 50956, 68465, 52833, 57254, 66913, 52380, 59198, 51058, 50799, 52380, 51734, 50290, 51568, 50302, 50892, 54569, 65785, 52436, 75600, 68766, 52380, 60898, 60465, 52833, 51267, 51234, 51568, 50302, 55200, 50899, 68465, 52833, 75600, 66913, 53786, 60898, 51058, 50799, 53493, 51734, 50285, 51568, 50297, 50892, 54569, 65785, 53493, 75600, 68766, 53493, 60898, 60465, 53610, 51295, 51247, 51568, 50297, 55200, 50956, 51242, 60027, 66913, 53786, 60898, 51058, 50799, 52833, 51127, 51234, 51568, 50302, 50892, 54569, 51242, 60564, 51242, 58783, 51242, 66836, 74458, 50906, 68465, 52833, 60898, 66913, 52833, 66867, 51058, 50799, 52833, 51807, 50282, 51568, 50294, 53770, 52380, 68323, 72169, 59023, 54137, 53786, 51295, 51799, 51568, 50294, 54058, 50899, 72169, 58363, 54509, 52833, 50866, 50799, 52380, 51619, 50287, 69836, 50981, 54569, 58127, 64290, 54335, 52436, 51312, 50899, 58127, 64290, 54342, 50899, 58127, 64290, 54137, 50899, 59055, 62163, 57105, 52436, 58603, 52380, 50924, 50799, 52833, 50806, 51120, 75677, 67957, 70606, 52530, 50318, 52530, 50323, 67039, 52833, 51290, 50432, 52833, 59894, 52833, 51055, 51799, 52297, 50294, 70866, 69797, 73988, 52297, 50322, 59731, 53625, 59465, 55626, 50948, 50799, 53610, 62002, 51214, 62352, 56730, 55673, 57022, 51631, 51214, 64325, 57952, 60446, 66042, 54729, 51214, 62352, 56730, 55673, 57022, 51646, 51214, 52297, 50299, 72341, 73988, 52297, 50323, 63505, 53610, 50977, 50799, 55499, 51734, 50280, 74389, 50892, 53502, 65785, 53610, 75600, 62430, 51242, 50861, 68766, 53625, 52434, 50304, 60465, 52833, 51267, 52206, 74389, 55200, 50900, 68465, 52380, 75600, 62430, 51242, 50861, 66913, 53625, 52434, 50304, 51058, 50799, 52833, 51734, 50285, 51568, 50297, 50892, 53502, 54335, 52380, 67538, 59023, 54342, 53493, 52434, 50304, 54137, 52380, 51267, 51247, 51568, 50297, 55200, 50900, 54323, 50871, 59023, 54509, 53493, 68913, 60864, 53493, 50862, 50799, 55499, 51218, 52206, 74389, 50892, 53502, 51242, 60564, 62430, 51242, 50861, 68766, 53610, 52434, 50304, 60465, 53493, 52434, 50280, 74389, 55200, 53625, 52434, 50304, 68465, 52833, 51267, 50906, 62430, 51242, 50861, 66913, 50900, 51058, 50799, 52380, 51127, 51247, 51568, 50297, 50892, 53502, 51242, 56207, 60236, 51242, 56014, 60465, 51247, 51568, 50297, 55200, 50900, 68465, 52380, 70148, 60236, 66913, 50900, 51058, 50799, 53979, 52530, 50277, 51741, 50289, 60115, 51040, 62430, 58127, 54335, 53979, 51710, 50305, 64233, 58399, 54100, 53625, 51710, 50305, 61432, 57348, 53264, 55499, 51442, 50277, 51807, 50289, 60510, 57828, 69616, 57094, 64651, 54230, 55499, 51215, 50916, 58263, 65631, 51519, 50289, 51800, 50301, 56934, 50916, 55143, 62036, 58565, 53610, 50813, 50799, 57828, 51936, 50282, 51356, 51120, 51356, 50420, 55499, 51073, 55179, 50877, 55673, 51631, 50871, 58696, 60446, 54729, 53493, 75522, 56036, 55673, 51646, 55499, 51936, 50287, 51336, 51026, 51336, 50444, 53610, 61928, 56730, 55648, 51798, 50861, 57952, 67734, 55416, 53625, 69718, 56730, 55648, 50795, 50799, 53610, 51936, 50289, 51356, 51027, 51356, 50420, 53493, 60757, 56036, 55673, 51631, 53979, 61623, 58696, 60446, 54729, 52833, 75522, 56036, 55673, 51646, 53493, 51936, 50277, 51364, 51279, 51364, 50444, 53625, 58138, 55499, 51192, 50916, 51345, 50861, 51345, 50877, 51345, 51028, 51345, 50459, 53979, 50890, 50799, 52833, 68585, 51799, 73470, 60110, 50877, 55673, 51631, 51247, 51442, 50297, 57874, 58696, 60446, 54729, 51279, 66843, 60110, 50877, 55673, 51646, 51120, 70022, 68669, 70866 ]

[ 0, 250, 20902, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 38668, 11212, 6, 1076, 560, 31365, 25999, 6, 3459, 13305, 6, 8, 5921, 3343, 1290, 642, 5255, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 14899, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 230, 10431, 6, 2060, 6, 8, 12608, 3639, 7, 63, 33928, 8, 33558, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 50799, 54103, 51486, 51831, 52369, 52226, 51486, 53361, 52829, 55340, 52829, 55796, 51748, 61437, 54373, 57016, 50851, 50685, 50317, 59895, 61641, 57252, 50685, 50317, 57959, 61641, 58604, 50685, 50317, 60466, 61641, 59038, 54103, 51003, 52185, 51016, 52226, 51003, 57009, 50827, 50685, 50317, 60004, 61641, 51123, 50461, 59255, 51671, 50799, 52522, 51077, 52770, 51148, 52200, 51148, 62250, 50933, 50685, 50317, 59895, 61641, 57252, 50685, 50317, 57959, 61641, 58604, 54103, 51183, 51831, 51356, 52226, 51183, 57016, 50933, 50685, 50317, 60466, 61641, 59038, 50685, 50317, 60004, 61641, 51123, 50460, 53465, 52829, 56679, 51449, 50461, 54165, 52829, 50799, 52770, 51358, 52832, 51742, 51643, 51742, 59269, 54270, 57644, 51051, 59744, 59895, 61641, 57252, 59744, 57959, 61641, 58604, 59744, 60466, 61641, 59038, 52832, 50981, 52185, 50807, 51643, 50981, 57009, 51051, 59744, 60004, 61641, 51123, 50460, 55796, 51671, 50799, 54103, 51148, 51831, 51077, 52226, 51148, 57016, 50972, 59744, 59895, 61641, 57252, 59744, 57959, 61641, 58604, 52832, 51145, 52770, 50918, 51643, 51145, 57644, 51254, 59744, 60466, 61641, 59038, 59744, 60004, 61641, 51123, 50461, 55340, 52204, 53361, 51449, 53654, 51671, 50799, 54641, 51148, 54103, 51077, 51721, 51148, 56939, 54270, 60388, 51142, 50685, 50317, 59895, 61641, 57252, 50685, 50317, 57959, 61641, 58604, 50685, 50317, 60466, 54641, 50892, 54641, 50795, 51721, 50892, 57020, 51051, 61641, 59038, 54641, 50987, 52832, 50865, 51721, 50987, 56220, 50851, 50685, 50317, 60004, 54103, 50983, 58220, 51310, 52185, 51310, 61641, 51123, 50457, 60388, 51051, 50461, 54165, 52829, 52693, 51671, 50799, 50685, 50317, 59895, 65385, 57252, 50685, 50317, 57959, 58220, 50917, 65385, 58604, 54103, 50938, 60388, 50907, 50685, 50317, 60466, 52770, 50938, 57644, 50912, 65385, 59038, 51831, 51048, 57016, 50912, 50685, 50317, 60004, 65385, 51123, 50461, 55796, 51449, 50799, 51831, 52536, 54103, 52069, 52226, 52069, 61437, 52503, 57016, 50912, 50685, 50317, 59895, 59744, 57252, 50685, 50317, 57959, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 52832, 50892, 52770, 50795, 51643, 50892, 57644, 50912, 59744, 51123, 50461, 56679, 51671, 53465, 51671, 50799, 52832, 52151, 52770, 51991, 51643, 52151, 59269, 52503, 57644, 51753, 50685, 50317, 59895, 59744, 57252, 50685, 50317, 57959, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 59744, 51123, 50461, 53361, 52829, 55340, 52829, 55796, 51748, 50799, 54103, 51591, 51831, 52311, 52226, 51591, 51638, 51922, 51690, 51662, 57016, 50851, 50685, 50317, 63907, 56621, 61641, 57252, 50685, 50317, 63907, 55649, 61641, 58604, 50685, 50317, 63907, 55933, 61641, 59038, 54103, 51003, 52185, 51016, 52226, 51003, 52838, 51097, 57009, 50827, 50685, 50317, 63907, 55891, 61641, 51123, 50461, 59255, 51671, 50799, 52522, 51077, 52770, 51148, 52200, 51148, 52405, 51244, 53148, 51922, 62250, 50933, 50685, 50317, 63907, 56621, 61641, 57252, 50685, 50317, 63907, 55649, 61641, 51123, 50437, 51690, 68116, 54103, 51183, 51831, 51356, 52226, 51183, 57016, 50933, 50685, 50317, 63907, 55933, 61641, 59038, 50685, 50317, 63907, 55891, 61641, 51123, 50460, 53465, 52829, 56679, 51449, 50461, 54165, 52829, 52316, 52727, 50799, 52770, 51358, 52832, 51742, 51643, 51742, 51811, 51662, 57644, 51051, 59744, 63907, 56621, 61641, 57252, 59744, 63907, 55649, 61641, 58604, 59744, 63907, 55933, 61641, 59038, 52832, 50981, 52185, 50807, 51643, 50981, 52838, 50995, 57009, 51051, 59744, 63907, 55891, 61641, 51123, 50460, 55796, 51671, 50799, 54103, 51148, 51831, 51077, 52226, 51148, 51690, 51244, 51887, 51922, 57016, 50851, 59744, 63907, 56621, 61641, 57252, 59744, 63907, 55649, 61641, 58604, 52832, 51145, 52770, 50918, 51643, 51145, 51811, 51148, 57644, 50912, 59744, 63907, 55933, 61641, 59038, 59744, 63907, 55891, 61641, 51123, 50461, 55340, 52204, 53361, 51449, 53654, 51671, 50799, 54641, 51148, 54103, 51077, 51721, 51148, 51905, 53413, 53148, 51922, 60388, 50912, 50685, 50317, 63907, 56621, 61641, 57252, 50685, 50317, 63907, 55649, 61641, 58604, 50685, 50317, 63907, 55933, 54641, 50892, 54641, 50795, 51721, 50892, 57020, 51051, 61641, 59038, 54641, 50987, 52832, 50865, 51721, 50987, 56220, 50851, 50685, 50317, 63907, 55891, 54103, 50983, 58220, 51310, 52185, 51310, 61641, 51123, 50457, 60388, 51051, 50461, 54165, 52829, 52693, 51671, 53599, 51922, 50799, 50685, 50317, 63907, 56621, 65385, 57252, 50685, 50317, 63907, 55649, 58220, 50917, 54103, 50974, 52226, 50974, 65385, 58604, 54103, 50978, 54103, 50938, 52226, 50978, 51905, 50974, 60388, 50907, 50685, 50317, 63907, 55933, 54103, 50978, 52770, 50938, 52226, 50978, 51811, 50905, 57644, 50912, 65385, 59038, 54103, 51312, 51831, 51048, 52226, 51312, 51690, 51253, 57016, 50912, 50685, 50317, 63907, 55891, 65385, 51123, 50461, 55796, 51449, 50799, 51831, 52536, 54103, 52069, 52226, 52069, 52316, 53201, 51690, 52151, 57016, 50912, 50685, 50317, 63907, 56621, 59744, 57252, 50685, 50317, 57959, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 52832, 51411, 52770, 51112, 51643, 51411, 51811, 51008, 57644, 50912, 59744, 72037, 51905, 61982, 56679, 51671, 53465, 51671, 50799, 51811, 51313, 50685, 50317, 59895, 52832, 52151, 52770, 51991, 51643, 52151, 57644, 50912, 59744, 57252, 50685, 50317, 51123, 70618, 52204, 50432, 59744, 58604, 50685, 50317, 60466, 59744, 59038, 50685, 50317, 60004, 59744, 63907, 51031, 50460, 50801, 78360, 52693, 51801, 53361, 51801, 54516, 50942, 52158, 51337, 52569, 51337, 65477, 51394, 50910, 57020, 51051, 53358, 60008, 52132, 50825, 51921, 72364, 51468, 50420, 51186, 50955, 51890, 62314, 54778, 52144, 50825, 52111, 50870, 57453, 60931, 51394, 53244, 51186, 50942, 52158, 51642, 53234, 51242, 51165, 50925, 57020, 55171, 54109, 58096, 51179, 50825, 71679, 51186, 50955, 51890, 55171, 54528, 54778, 50863, 52224, 50870, 55935, 52904, 51186, 50878, 52158, 50995, 53464, 50915, 51394, 50830, 65477, 57020, 73962, 53735, 51392, 50825, 52260, 72536, 64864, 51186, 66063, 54528, 54778, 50863, 52283, 50908, 57471, 53003, 51186, 50878, 51890, 58589, 53735, 58096, 51179, 50825, 52145, 64360, 72881, 51394, 52643, 51186, 50955, 52158, 51645, 53234, 51337, 57020, 56786, 54528, 54778, 50863, 74692, 55985, 50870, 54516, 59576, 53735, 51392, 56127, 51890, 51376, 61672, 50418, 51468, 50419, 51165, 50897, 51394, 51835, 51186, 50955, 52158, 51172, 52569, 51203, 57020, 54090, 54528, 54778, 50863, 52111, 50870, 57453, 52872, 51186, 59576, 53617, 58096, 51179, 54974, 51890, 51074, 50832, 66284, 65477, 51394, 51628, 51186, 50959, 52158, 51878, 53234, 50959, 57020, 56786, 54528, 54778, 50863, 52224, 50870, 55935, 52904, 51186, 50942, 53464, 51419, 50832, 53735, 51392, 50825, 52260, 72536, 64864, 51186, 66063, 54528, 54778, 50863, 52283, 50908, 57471, 60145, 51395, 50833, 51811, 58460, 51186, 50878, 57644, 56375, 54109, 58096, 51179, 64125, 51488, 50878, 51905, 77462, 60388, 59469, 64360, 51165, 50942, 51394, 58298, 51186, 50955, 52158, 51254, 51890, 51074, 57020, 59469, 54839, 54778, 58958, 51629, 50878, 51375, 52121, 50459, 64747, 56786, 50837, 55985, 57015, 51165, 50925, 51394, 50938, 54516, 50942, 52569, 51110, 52158, 51309, 57020 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 8, 24896, 4279, 594, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 6, 7630, 14805, 6453, 9, 11098, 6, 657, 6, 8, 10, 25306, 13569, 9862, 149, 63, 16331, 33215, 16739, 9, 12608, 6, 163, 428, 6, 12608, 6, 8, 274, 119, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 51540, 51503, 51109, 51176, 51109, 51062, 51134, 70562, 66040, 51109, 50956, 69558, 51081, 54014, 51176, 66040, 51109, 70585, 51062, 66039, 51503, 51109, 51176, 51109, 51405, 51397, 50462, 51176, 66040, 51109, 70585, 50474, 51176, 66040, 51109, 70585, 51062, 51109, 51540, 51197, 51109, 70585, 51399, 51134, 56759, 51109, 70585, 63775, 50432, 51062, 54014, 50997, 51109, 70585, 63775, 51399, 66039, 51503, 51109, 51176, 51109, 51062, 51397, 50462, 51176, 66040, 51109, 70585, 50474, 51176, 66040, 51109, 70585, 51405, 51109, 51540, 52128, 51101, 50900, 51452, 50420, 51487, 67175, 51339, 51101, 70585, 50965, 69558, 51405, 68535, 51399, 51101, 70585, 71931, 50444, 51062, 54356, 51062, 51101, 51040, 51452, 50456, 51081, 51101, 50462, 50999, 51101, 50871, 51109, 70338, 50468, 51081, 51101, 50474, 51399, 51101, 50871, 51109, 70338, 50480, 51339, 50866, 51540, 51339, 51101, 50956, 51452, 50420, 51405, 67175, 51399, 51101, 63775, 50906, 69558, 51081, 68535, 50951, 51101, 63775, 70338, 50444, 51001, 54356, 71931, 51147, 51397, 50462, 51176, 51109, 51540, 51643, 51381, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 73528, 50432, 52135, 56480, 51643, 76014, 50965, 62697, 68832, 52200, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 51643, 76014, 50965, 73528, 51540, 52226, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51028, 79201, 51643, 56480, 52226, 51199, 65735, 66283, 51028, 68832, 51643, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 52200, 76014, 50965, 73528, 51540, 54061, 51627, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 62697, 59612, 52200, 76014, 50965, 62697, 68832, 52200, 51627, 51085, 51627, 50900, 51627, 50462, 65929, 50965, 73528, 50468, 52226, 51006, 50474, 51643, 76014, 50965, 73528, 51540, 51721, 51243, 65929, 56759, 51199, 65735, 66283, 51001, 59612, 51026, 51199, 65735, 66283, 51001, 68832, 51197, 51627, 50861, 51627, 50906, 51627, 51001, 51627, 50474, 51721, 51199, 51540, 52200, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51001, 59612, 52200, 51199, 65735, 66283, 51001, 68832, 51633, 51627, 51234, 51627, 50997, 51627, 50462, 62440, 75417, 66283, 50902, 51199, 50474, 51993, 51199, 62440, 75417, 66283, 50902, 51199, 51540, 54061, 51627, 51234, 51627, 50997, 51627, 53645, 51199, 75417, 66283, 50902, 59612, 54061, 51199, 62440, 75417, 66283, 50902, 68832, 52372, 51627, 51197, 51627, 50956, 51627, 50462, 65735, 66283, 51001, 51199, 50474, 52372, 51199, 65735, 66283, 51001, 51199, 51540, 51643, 51627, 51503, 51627, 51176, 51627, 62144, 73528, 50931, 59612, 51993, 51199, 50965, 73528, 50931, 68832, 51633, 51517, 50290, 51627, 50997, 51627, 50462, 51643, 51199, 62440, 75417, 50902, 51199, 50474, 51633, 51199, 62440, 75417, 50902, 51199, 51540, 52200, 51243, 51197, 76014, 56759, 51199, 65735, 66283, 51001, 59612, 51026, 51199, 65735, 66283, 51001, 68832, 51197, 51627, 50861, 51627, 50906, 51627, 51001, 51627, 51540, 52200, 51381, 51197, 51627, 50956, 51627, 55902, 51277, 60564, 66013, 51633, 52169, 50317, 70351, 52200, 51199, 50906, 51277, 58365, 57299, 52372, 51627, 51197, 51627, 50956, 51627, 72786, 51277, 50462, 50906, 51277, 50468, 51028, 51277, 50474, 52200, 51199, 50906, 51277, 50480, 50861, 51277, 51540, 52200, 51627, 51503, 51627, 51176, 51627, 58097, 51277, 62144, 66013, 51633, 67220, 70351, 52200, 51199, 50965, 51277, 61614, 57299, 54061, 51627, 51503, 51627, 51176, 51627, 50456, 50956, 51277, 50462, 50965, 51277, 50468, 50876, 51277, 50474, 52200, 51199, 50965, 51277, 50480, 50956, 51006, 51540, 54761, 51627, 52046, 51627, 51197, 51627, 58097, 51277, 54439, 51277, 63931, 70351, 54061, 51199, 50861, 51277, 61614, 57299, 52372, 51517, 50283, 51627, 51197, 51627, 50456, 50956, 51277, 50462, 51993, 51199, 50861, 51277, 50468, 50906, 51277, 50474, 52200, 51199, 50861, 51277, 50480, 50956, 51006, 51540, 52200, 52062, 51503, 51680, 51176, 51680, 58097, 51277, 62144, 51277, 59409, 70351, 50965, 51277, 61614, 57299, 51643, 51627, 51503, 51627, 51176, 51627, 50900, 51627, 50956, 51627, 50965, 51627, 50474, 52185, 51199, 51540, 52185, 51517, 50288, 51627, 51176, 51627, 50426, 51643, 51199, 64528, 65929, 50965, 59612, 52200, 51199, 64528, 65929, 50965, 68832, 54061, 51627, 51503, 51627, 51176, 51627, 50462, 64528, 65929, 75417, 50474, 52372, 51199, 64528, 65929, 75417, 51540, 52372, 51627, 52759, 51627, 51360, 51627, 61104, 51199, 62440, 50906, 59612, 51993, 51199, 51040, 51199, 62440, 66283, 50450, 52226, 51627, 52759, 51627, 51360, 51627, 50462, 51040, 51199, 62440, 66283, 50474, 51721, 51199, 51040, 51199, 62440, 66283, 51540, 52185, 51517, 50283, 51627, 51197, 51627, 50426, 51643, 76014, 50965, 62697, 59612, 51993, 76014, 50965, 62697, 68832, 52200, 51627, 52046, 51680, 51197, 51680, 50956, 51680, 50861, 51680, 50906, 51680, 51028, 51680, 50474, 51652, 51199, 51540, 52185, 51243, 51503, 51109, 51176, 51109, 69980, 51101, 56546, 51101, 51176, 66040, 51109, 50956, 69558, 51001, 68535, 51147, 51101, 51176, 66040, 51109, 70585, 50444, 51062, 54356, 51503, 51109, 51176, 51109, 51405, 51109, 50462, 51176, 66040, 51109, 70585, 52128, 51109, 50474, 51176, 66040, 51109, 70585, 51062, 51109, 51540, 51147, 51109, 51176, 51452, 53523, 51109, 70585, 51062, 51109, 55203, 51109, 70585, 51405, 66039, 52128, 51446, 51176, 51452, 50462, 50900, 51109, 70585, 50474, 50900, 51109, 70585, 51487, 51109, 51540, 51487, 51446, 51360, 51452, 60643, 51109, 50997, 61148, 51050, 51109, 50997, 51109, 51339, 66039, 51399, 51397, 51360, 51452, 50462, 51050, 51109, 50997, 51109, 50474, 51050, 51109, 50997, 51109, 51081, 51109, 51540, 52128, 51101, 51197, 51452, 50420, 51487, 67175, 51339, 51101, 51176, 66040, 69558, 51405, 68535, 51399, 51101, 51176, 66040, 75115, 51062, 54356, 51062, 51101, 51050, 51452, 50456, 51081, 51101, 50462, 50999, 51101, 50997, 51109, 51040, 51109, 50468, 51081, 51101, 50474, 51399, 51101, 50997, 51109, 51040, 51109, 50480, 51339, 50866, 51540, 51339, 51101, 51026, 51452, 50420, 51405, 67175, 51399, 51101, 50997, 51109, 51040, 69558, 51081, 68535, 50951, 51101, 50997, 51109, 51040, 75115, 51001, 54356, 51176, 51109, 51147, 51397, 50462, 51503, 51109, 51540, 51431, 51381, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 73528, 50432, 52298, 56480, 51431, 76014, 50965, 62697, 68832, 51641, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 51431, 76014, 50965, 73528, 51540, 52061, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51028, 79201, 51431, 56480, 52061, 51199, 65735, 66283, 51028, 68832, 51431, 51627, 51503, 51627, 51176, 51627, 50462, 65929, 50965, 73528, 50474, 51641, 76014, 50965, 73528, 51540, 52264, 51627, 51503, 51627, 51176, 51627, 56040, 51199, 50965, 62697, 59612, 51641, 76014, 50965, 62697, 68832, 51641, 51627, 51085, 51627, 50900, 51627, 50462, 65929, 50965, 73528, 50468, 52061, 51006, 50474, 51431, 76014, 50965, 73528, 51540, 51723, 51243, 65929, 56759, 51199, 65735, 66283, 51001, 59612, 51026, 51199, 65735, 66283, 51001, 68832, 51197, 51627, 50861, 51627, 50906, 51627, 51001, 51627, 50474, 51723, 51199, 51540, 51641, 51627, 51197, 51627, 50956, 51627, 54439, 51199, 66283, 51001, 59612, 51641, 51199, 65735, 66283 ]

[ 0, 250, 15352, 30054, 5175, 8, 3495, 1619, 2214, 14, 7630, 6568, 10, 1372, 8, 33558, 6711, 6, 4246, 10, 11739, 9, 13305, 6, 16867, 6, 769, 196, 6757, 6, 10170, 1499, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 22690, 10, 33215, 16739, 9, 230, 119, 6, 274, 119, 406, 6, 8, 163, 43531, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 60122, 50949, 53321, 53223, 50920, 55893, 52365, 52762, 52365, 54883, 52365, 52667, 52365, 54665, 52365, 53418, 52159, 51253, 51495, 51380, 51061, 51380, 50441, 62545, 53044, 62545, 59418, 55721, 51070, 53003, 62545, 50925, 54322, 51939, 52899, 52069, 50456, 62545, 50837, 52159, 51423, 51495, 51423, 51061, 51423, 70649, 50799, 62545, 58793, 55978, 50864, 52159, 51423, 51495, 51423, 51061, 51423, 51070, 54604, 62545, 58869, 53670, 52159, 51423, 51495, 51423, 51061, 51423, 51070, 55799, 50920, 54292, 55978, 54800, 53239, 62545, 50987, 52159, 51008, 51495, 51328, 51061, 51328, 50920, 54821, 55721, 50920, 53544, 53003, 60252, 50948, 53242, 55002, 50456, 55074, 50808, 51118, 51328, 51341, 51328, 51281, 51328, 50920, 53544, 50908, 50799, 50769, 50340, 54507, 51341, 51328, 51281, 51328, 51092, 51328, 53242, 50932, 76089, 50769, 50320, 53991, 75488, 50769, 50320, 52670, 50769, 50320, 54860, 51341, 50905, 51281, 50987, 51092, 50978, 52939, 51387, 50920, 53518, 50891, 50769, 50320, 56000, 50920, 52600, 52939, 50974, 50920, 50883, 61264, 50907, 50769, 50338, 51128, 54234, 52210, 51341, 50874, 51281, 50874, 51092, 51328, 51691, 51079, 50920, 54821, 50891, 65099, 51126, 50769, 50340, 58068, 51341, 51172, 51281, 51172, 50920, 53622, 53003, 60252, 50820, 53707, 51939, 51691, 51470, 50920, 50834, 71801, 52134, 50769, 50342, 51126, 52447, 52069, 50453, 60108, 52579, 60108, 50820, 51495, 51328, 51061, 51328, 51193, 51328, 50920, 54018, 50908, 78850, 51524, 50769, 50340, 69510, 60108, 52539, 50828, 50799, 60108, 56169, 50818, 50769, 50340, 55650, 60252, 50841, 51495, 51058, 51061, 51058, 51193, 51058, 76089, 50769, 50320, 54316, 60252, 54274, 50891, 50769, 50320, 52639, 60252, 50833, 50769, 50320, 54854, 62545, 50834, 51495, 51058, 51061, 51058, 51193, 51058, 52183, 50974, 75488, 50769, 50320, 53891, 62545, 50844, 52393, 50972, 78850, 51123, 50769, 50347, 57522, 51495, 51058, 51061, 51058, 51193, 51058, 51988, 51166, 75488, 50729, 50350, 50851, 50769, 50345, 55721, 51070, 53003, 62545, 50971, 52947, 51939, 52183, 52256, 71801, 50984, 50769, 50342, 50928, 52191, 52069, 50456, 62545, 50827, 51268, 51058, 51193, 51058, 51385, 51058, 52365, 53419, 50908, 71801, 51319, 50769, 50338, 50928, 50799, 62545, 50851, 52393, 52011, 50769, 50333, 62716, 52365, 53023, 55978, 50878, 51495, 51058, 51268, 51058, 51193, 70906, 53622, 50870, 50769, 50353, 54104, 50920, 52909, 50891, 50769, 50353, 52670, 62545, 51645, 51691, 51466, 50920, 50834, 50769, 50353, 53695, 51495, 50864, 51268, 50864, 51193, 56994, 53622, 50891, 50769, 50353, 55782, 52365, 52621, 52365, 50820, 50769, 50347, 54758, 51495, 50864, 51268, 50864, 51193, 50373, 54502, 53419, 50891, 50769, 50349, 54847, 76089, 50769, 50349, 50829, 50769, 50350, 53057, 54322, 51534, 52159, 51534, 51495, 51423, 51061, 51681, 50300, 50915, 51017, 64986, 50915, 50769, 50354, 52485, 60108, 50825, 68462, 69511, 53094, 51000, 52393, 51126, 51691, 51126, 63901, 50908, 50769, 50356, 56249, 60108, 51464, 50837, 50799, 60108, 50878, 53094, 50912, 52393, 50907, 51691, 51123, 51396, 50932, 51017, 50932, 69427, 50420, 60252, 50820, 51495, 50874, 71375, 51281, 50874, 52393, 50972, 51070, 54604, 60252, 51212, 51070, 52966, 53242, 52347, 50300, 50915, 51017, 64986, 57173, 62545, 50933, 51495, 50874, 71375, 51281, 50874, 51691, 51330, 61099, 50891, 50769, 50354, 54606, 57974, 62545, 51123, 51396, 50915, 51017, 64986, 50915, 50769, 50349, 53524, 55978, 50907, 51495, 50874, 71375, 51281, 50874, 53242, 50838, 75488, 50769, 50345, 54847, 76089, 50769, 50344, 52743, 62545, 50912, 53105, 57598, 51164, 50807, 51396, 50915, 58285, 50769, 50342, 52920, 55074, 51432, 71375, 51281, 50874, 51092, 50874, 61803, 50908, 50769, 50316, 50982, 70019, 50769, 50316, 50908, 59008, 50914, 51396, 50915, 58285, 74637, 51000, 50769, 50342, 77686, 71375, 51281, 50874, 51092, 63172, 50870, 65446, 58362, 75488, 65446, 52976, 51164, 51003, 51396, 50915, 58285, 50729, 50339, 50971, 50769, 50345, 54221, 71375, 51281, 50874, 51092, 50874, 68878, 50891, 60436, 55799, 51471, 60436, 53115, 51164, 51003, 51396, 50915, 58285, 50729, 50341, 51126, 50769, 50340, 54400, 71375, 51281, 50874, 51092, 63172, 50891, 50729, 50353, 51128, 50769, 50345, 54914, 51070, 53003, 51037, 50915, 51017, 64986, 50915, 50729, 50353, 51524, 50769, 50350, 54059, 60108, 50825, 51495, 50874, 71375, 51193, 50874, 60702, 50908, 50769, 50352, 56232, 60108, 51464, 50820, 50799, 60108, 50878, 51037, 50915, 51017, 64986, 50915, 50769, 50350, 54605, 60252, 50820, 51495, 50874, 71375, 51193, 50874, 57813, 52212, 76089, 50769, 50325, 56295, 60252, 51212, 51070, 52966, 51037, 51003, 51017, 50915, 59381, 50769, 50323, 53670, 62545, 50933, 51495, 50874, 71375, 51193, 50874, 59858, 50891, 74637, 51128, 60436, 50928, 51556, 50839, 50769, 50342, 54114, 62545, 51123, 51037, 50915, 51017, 50915, 59381, 50769, 50342, 53858, 55978, 50907, 51495, 50874, 71375, 51193, 50874, 53105, 51697, 75488, 50729, 50329, 51297, 50769, 50345, 54673, 51070, 53003, 62545, 50984, 57813, 52397, 51037, 50915, 50979, 50915, 73061, 50769, 50331, 54616, 51341, 50874, 51268, 50874, 51193, 63172, 50908, 70524, 52134, 50769, 50330, 60078, 50769, 50328, 51004, 55708, 51158, 60609, 51692, 57813, 51939, 58766, 50841, 56286, 54376, 50898, 73940, 51795, 50416, 58766, 50908, 56286, 57226, 58766, 50835, 56286, 61798, 58766, 50863, 56286, 52944, 51017, 62121, 66246, 50821, 58766, 50863, 56286, 51833, 61710, 58766, 50835, 56286, 54316, 58766, 50835, 56286, 50834, 50769, 50319, 69156, 58766, 50971, 56286, 54317, 51228, 51215, 58766, 50837, 56286, 53617, 67942, 50769, 50319, 64640, 58766, 50863, 56286, 54974, 58766, 50891, 56286, 61193, 58766, 50941, 56286, 53998, 51017, 62121, 73887, 50858, 58766, 52771, 50839, 50729, 50357, 51004, 50769, 50319, 56565, 58766, 54950, 58766, 50891, 50729, 50355, 70227, 58766, 55108, 51228, 50840, 58766, 55259, 67942, 50729, 50353, 51004, 50439, 58766, 65246, 51228, 50836, 58766, 65454, 58766, 53858, 51096, 79606, 73627, 50880, 50992, 50821, 58766, 51126, 52093, 50729, 50350, 51851, 50769, 50319, 56453, 58766, 54673, 58766, 50908, 50769, 50319, 58078, 58766, 53430, 51228, 51158, 75798, 51003, 53105, 51108, 58766, 51258, 59020, 54376, 50898, 59528, 58766, 51297, 59020, 57186, 58766, 51129, 59020, 51437, 60233, 58766, 51004, 59020, 53553, 51017, 62121, 73887, 50858, 58766, 51319, 59020, 51128, 52105, 50769, 50319, 62309, 58766, 50908, 59020, 55397, 51096, 50857, 52354, 50924, 75314, 51675, 53242, 51748, 58766, 50829, 57658, 54169, 50898, 73940, 51285, 50416, 58766, 50908, 57658, 57226, 58766, 50870, 57658, 62238, 58766, 50863, 57658, 52944, 50885, 63553, 50921, 50992, 50921, 58766, 50863, 57658, 51833, 50895, 50769, 50319, 57240, 58766, 50835, 57658, 54316, 58766, 50835, 57658, 50834, 50769, 50319, 60463, 58766, 50971, 57658, 54317, 66856, 58766, 50837, 57658, 72344, 64640, 58766, 50863, 57658, 54974, 58766, 50891, 57658, 61193, 58766, 55286, 50885, 50940, 50872, 50940, 50992, 50921, 58766, 52771, 50839, 50729, 50357, 51004, 50769, 50319, 56565, 58766, 54950, 50945, 50857, 58766, 50891, 50729, 50355, 70227, 58766, 50971, 53357, 51111, 58766, 78512, 63893, 50923, 50729, 50353, 51004, 50439, 58766, 65246, 58766, 50908 ]

[ 0, 250, 30389, 28668, 19834, 19, 3495, 16882, 6, 42, 2214, 7630, 6568, 10, 2365, 8, 1619, 16464, 4, 20, 13305, 8, 21979, 8669, 483, 5, 33301, 6, 2800, 30, 5, 21979, 9590, 6, 20535, 2810, 6, 8, 21072, 4, 8504, 11, 211, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 13931, 9, 211, 406, 6, 272, 119, 6, 211, 119, 6, 8, 381, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50903, 66625, 55710, 51269, 57417, 50984, 51768, 50874, 52029, 51369, 55710, 53513, 51170, 55710, 50833, 51570, 71852, 55710, 54653, 51236, 71234, 57831, 52741, 52029, 51369, 55710, 56838, 51170, 71234, 57831, 50808, 60859, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50903, 66625, 55710, 51269, 57417, 50984, 51768, 50874, 52029, 51369, 55710, 53513, 51170, 55710, 50833, 51570, 71852, 55710, 54653, 51236, 71234, 57831, 52741, 52029, 51369, 55710, 56838, 51170, 71234, 57831, 50808, 53458, 53177, 50306, 51534, 50902, 51363, 51209, 51066, 51207, 51490, 50960, 53280, 50929, 51961, 51067, 51637, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50903, 66625, 55710, 51269, 57417, 55070, 52078, 50910, 63503, 50951, 51644, 50326, 50905, 51209, 60894, 50874, 52029, 51369, 55710, 53513, 51389, 51936, 50302, 63422, 50892, 51209, 51795, 68354, 68827, 51067, 51079, 51170, 55710, 53415, 51150, 51362, 50956, 51542, 51001, 51295, 51405, 51221, 51725, 51703, 51131, 53674, 51136, 51381, 50929, 52519, 52352, 51372, 55710, 54653, 51236, 71234, 57831, 52741, 50877, 51911, 50325, 50845, 52029, 51369, 55710, 56838, 52078, 63837, 75934, 50892, 51131, 51432, 51136, 50838, 50929, 51166, 51170, 71234, 57831, 50808, 66269, 73988, 51455, 50342, 50892, 51207, 51244, 50903, 50874, 52352, 51372, 50844, 53321, 51252, 55902, 52169, 50335, 51058, 50960, 55584, 50929, 51337, 51067, 51309, 50903, 66625, 55710, 51252, 57417, 58782, 51389, 51116, 50906, 53130, 50338, 51006, 50903, 50874, 52029, 51369, 55710, 53513, 51098, 51294, 68622, 51487, 51212, 50960, 54298, 50929, 51481, 51067, 51753, 51170, 55710, 53415, 51209, 50976, 52352, 51372, 55710, 73241, 51444, 51703, 66626, 51484, 75099, 50861, 51411, 51081, 51242, 50960, 58483, 50929, 53161, 51067, 51797, 51236, 55710, 53668, 51229, 58317, 51098, 50879, 52029, 51369, 55710, 56838, 51389, 55143, 51455, 50335, 50892, 51408, 50860, 50960, 51387, 60384, 51067, 51387, 51170, 71234, 57831, 50808, 53788, 53177, 50292, 51749, 51390, 51029, 51725, 51244, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 50951, 51337, 51487, 51043, 50986, 55584, 51136, 51337, 51064, 51309, 50903, 66625, 55710, 51269, 57417, 55070, 53691, 50910, 50903, 50874, 52029, 51369, 55710, 53513, 52078, 51936, 50302, 50845, 50986, 51697, 65904, 51064, 51079, 51170, 55710, 60462, 51963, 51058, 51906, 51254, 57385, 51362, 51085, 51749, 50876, 51419, 51062, 51542, 51334, 51184, 51725, 51703, 50986, 53674, 50929, 51381, 51032, 52519, 52352, 51372, 55710, 54653, 51236, 55710, 52741, 52029, 51369, 55710, 50984, 50455, 51683, 51328, 52099, 51884, 50456, 52078, 72502, 60778, 51644, 50331, 50892, 78243, 60384, 51032, 51166, 51170, 71234, 57831, 50808, 53788, 51294, 51085, 51535, 51725, 53486, 50986, 53674, 50929, 51381, 51032, 52519, 50903, 50874, 52352, 51372, 50844, 53321, 63478, 51062, 51337, 52357, 51363, 50903, 66625, 55710, 51252, 57417, 51252, 51768, 50874, 52029, 51369, 55710, 53513, 51150, 51091, 50900, 51310, 52099, 52783, 50986, 53674, 50929, 51381, 51032, 52519, 51170, 71234, 57831, 60462, 52970, 54829, 51963, 51803, 50438, 50951, 51328, 51487, 51233, 54432, 51703, 52352, 51372, 55710, 54653, 51236, 71234, 57831, 52741, 51150, 51112, 50956, 66985, 52019, 50331, 50915, 50986, 51466, 50929, 51466, 51032, 52025, 52029, 51369, 55710, 56838, 51170, 55710, 50808, 53788, 53177, 50292, 51337, 51062, 51775, 51334, 50976, 51725, 51703, 50986, 53674, 50929, 51381, 51032, 52519, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 51269, 53502, 72338, 51058, 50903, 66625, 55710, 66495, 51334, 50976, 50920, 55070, 53691, 50910, 50956, 78393, 51006, 50903, 50874, 52029, 51369, 55710, 53513, 52078, 63837, 50854, 51062, 50805, 51334, 50860, 78243, 60384, 51032, 51166, 51170, 55710, 53415, 51668, 51362, 51086, 74908, 50987, 51390, 50976, 53092, 51244, 52352, 51372, 55710, 54653, 51324, 71227, 51058, 51311, 55584, 50960, 51337, 51169, 51309, 51236, 71234, 57831, 53668, 51390, 58317, 51176, 53130, 50324, 51006, 52029, 51369, 55710, 56838, 51793, 63461, 51455, 50330, 50892, 51390, 50860, 51311, 51697, 64484, 51169, 51079, 51170, 55710, 50808, 53788, 51362, 51001, 51233, 51405, 51423, 52031, 50976, 51725, 51244, 50903, 50874, 52352, 51372, 50844, 53321, 51252, 58097, 51753, 50986, 55584, 51136, 51337, 51032, 51309, 50903, 66625, 55710, 63285, 52031, 50976, 50920, 51252, 54439, 51328, 50951, 50905, 50903, 50874, 52029, 51369, 55710, 53513, 52078, 50893, 52031, 50860, 50986, 51697, 65904, 51032, 51079, 51170, 55710, 60462, 51001, 52415, 50331, 60592, 51273, 53177, 50301, 64510, 50987, 53076, 50976, 51444, 51080, 52352, 51372, 55710, 54653, 51120, 69715, 51058, 51236, 71234, 57831, 53668, 52004, 58317, 51389, 50910, 51378, 53130, 50322, 51006, 51131, 52397, 50986, 51333, 51078, 51333, 52029, 51369, 55710, 56838, 51216, 72502, 67996, 50892, 52700, 71921, 55710, 50808, 53458, 53177, 50299, 51749, 51390, 52737, 51207, 51490, 50960, 53280, 50929, 51961, 51067, 51637, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 51081, 51337, 52052, 51043, 50903, 66625, 55710, 51269, 57417, 55070, 52078, 50910, 50903, 50874, 52029, 51369, 55710, 68313, 51906, 51328, 51648, 51884, 50432, 51389, 51936, 50302, 50845, 68354, 68827, 51067, 51079, 51170, 55710, 53415, 51273, 51362, 51120, 51749, 53152, 51080, 51913, 51447, 51444, 51080, 52352, 51372, 55710, 54653, 50902, 51337, 51146, 51043, 51236, 71234, 57831, 52741, 51131, 52397, 50986, 51333, 51078, 51333, 52029, 51369, 55710, 56838, 51216, 51936, 50298, 50845, 51170, 55710, 50808, 53458, 51343, 51026, 51535, 51207, 52980, 50960, 53280, 50929, 51961, 51067, 51637, 50903, 50874, 52352, 51372, 50844, 53321, 63478, 51081, 51337, 52052, 51363, 50903, 66625, 55710, 51252, 57417, 51252, 51768, 50874, 52029, 51369, 55710, 68313, 51906, 52015, 51648, 52980, 50432, 51389, 51141, 50997, 51310, 50960, 52011, 50929, 51108, 51067, 51330, 51170, 55710, 53415, 50951, 51328, 51487, 51233, 51444, 51490, 52352, 51372, 55710, 54653, 51236, 71234, 57831, 52741, 51098, 62525, 60473, 52019, 50330, 50915, 50960, 52397, 50929, 51097, 51067, 51466, 52029, 51369, 55710, 56838, 51170, 71234, 57831, 50808, 53458, 53177, 50299, 51337, 51220, 51775, 52004, 52737, 51207, 51490, 50960, 53280, 50970, 51961, 51076, 51637, 50903, 50874, 52352, 51372, 55710, 51123, 53321, 64080, 51086, 71508, 51058, 50903, 66625, 55710, 51269, 57417, 55070, 52078, 50910, 50899, 69715, 51006, 50903, 50874, 52029, 51369, 55710, 53513, 51389, 59408, 50854, 51220, 50805, 68354, 66980, 51076, 51079, 51170, 55710, 53415, 51273, 53177, 50309, 51233, 50931, 51423, 51444, 51080, 52352, 51372, 55710, 54653, 51027, 51753, 50877, 51074, 51236, 55710, 52741, 51389, 50910, 50900, 51328, 50876, 50905, 51131, 52397, 50986, 51333, 50970, 51333, 52029, 51369, 55710, 56838, 51216, 80037, 55710, 63848, 50871, 76376, 50977, 59000, 53177, 50309, 51542, 50931, 51295, 51339, 51221, 51311, 51490, 50960, 53280, 50970, 51961, 51076, 51637, 50903, 50874, 52352, 51372, 50844, 53321, 63478, 50903, 66625, 55710, 51252, 57417, 58782, 55781, 50910, 50973, 51911, 50327, 66551, 50874, 52029, 51369, 55710, 53513, 51389, 68550, 51853, 50330, 50892, 68354 ]

[ 0, 250, 15352, 30054, 3495, 2214, 702, 9382, 15, 13305, 6, 7630, 14805, 10, 1472, 9, 657, 8, 26545, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 112, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 1614, 1073, 1020, 2877, 4, 20, 46336, 3184, 29769, 198, 5, 1918, 8, 381, 40286, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52552, 50623, 50424, 51176, 51297, 68866, 55086, 51027, 55086, 50448, 51176, 51297, 68866, 55086, 51027, 55086, 50448, 51176, 51297, 51034, 75643, 51120, 55086, 51027, 55086, 75536, 54964, 50968, 56237, 50951, 54504, 50931, 57524, 50902, 55659, 50968, 59837, 51028, 51074, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 50877, 51244, 51028, 51148, 50968, 51145, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 50877, 51244, 51028, 51148, 50968, 51145, 50448, 51176, 51297, 51034, 75643, 51120, 55086, 51027, 55086, 79578, 54964, 50951, 56237, 51081, 54504, 50999, 57524, 50902, 55659, 50968, 59837, 50931, 51074, 51034, 51028, 78912, 71562, 55036, 50294, 55086, 51027, 55086, 67855, 52928, 50899, 51244, 71578, 72734, 58540, 78912, 71562, 55036, 50294, 55086, 51027, 55086, 67855, 52928, 50899, 51244, 71578, 72734, 50460, 51120, 71206, 51027, 50971, 71543, 53420, 51027, 52872, 50899, 53575, 50916, 52904, 50871, 53594, 50899, 50870, 56310, 50834, 51120, 55086, 50418, 50623, 54569, 54604, 50622, 61104, 70573, 50622, 50432, 50621, 50916, 60591, 50621, 63809, 51333, 50441, 50621, 50446, 50620, 50450, 50619, 50460, 51176, 51297, 51034, 50623, 75643, 51120, 55086, 51027, 55086, 75536, 54964, 50968, 56237, 50951, 54504, 50931, 57524, 50902, 55659, 50968, 59837, 51028, 51074, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 51028, 51148, 50968, 51145, 50877, 51939, 50448, 51120, 51269, 50449, 51027, 51297, 71543, 50870, 50902, 51333, 56945, 52872, 50899, 53031, 50916, 52742, 50871, 52986, 50899, 50834, 56310, 50834, 51120, 51592, 50418, 50623, 54569, 54316, 50622, 61104, 64640, 50622, 50432, 50621, 50916, 59051, 50621, 63809, 51333, 50441, 50621, 50446, 50620, 50450, 50619, 50460, 51176, 51297, 51034, 50623, 75643, 51120, 55086, 51027, 55086, 75536, 54964, 50968, 56237, 50951, 54504, 50931, 57524, 50902, 55659, 50968, 59837, 51028, 51074, 50448, 51176, 51297, 51034, 50902, 52216, 50294, 55086, 51027, 55086, 63766, 52928, 50877, 51244, 51028, 51148, 50968, 51145, 50448, 51120, 51269, 50449, 51027, 51297, 71543, 77112, 52845, 50318, 51333, 57340, 52872, 50861, 53575, 50871, 52904, 50916, 50870, 51040, 52397, 69375, 50870, 71543, 52034, 51120, 55086, 51027, 55086, 50418, 50623, 50423, 50622, 50871, 54504, 50916, 50870, 51040, 52440, 50428, 50622, 50432, 50621, 51027, 60591, 50621, 59419, 56432, 50621, 50446, 50620, 50448, 51120, 51490, 50449, 51027, 51490, 51034, 50623, 75643, 50899, 52440, 79578, 54964, 50951, 56237, 51081, 54504, 50999, 57524, 50902, 55659, 50968, 59837, 50931, 51074, 50448, 51120, 54228, 50449, 51027, 52397, 51034, 51028, 78912, 55036, 50311, 52397, 67855, 52928, 50899, 51244, 50871, 51080, 72734, 71543, 50870, 51120, 55086, 51027, 55086, 57340, 52872, 50861, 53575, 50871, 52904, 50916, 50870, 51040, 52397, 69375, 50870, 71543, 52034, 51120, 55086, 51027, 55086, 50418, 50622, 50423, 50622, 50871, 54504, 50916, 50870, 51040, 52440, 50428, 50621, 50432, 50621, 51027, 60591, 50620, 59419, 51333, 50441, 50620, 50446, 50619, 50448, 51120, 52598, 50449, 51027, 52136, 51034, 50623, 75643, 50899, 55002, 79578, 54964, 50951, 56237, 51081, 54504, 50999, 57524, 50871, 70358, 55659, 50916, 72713, 51074, 55989, 74056, 51074, 51034, 51028, 78912, 55036, 50311, 55036, 50294, 55086, 51027, 55086, 67855, 52928, 50899, 51244, 50871, 51080, 72734, 50448, 51120, 56329, 50449, 51027, 56329, 71543, 61543, 50622, 56440, 54604, 50622, 53645, 70573, 50621, 50432, 50621, 50861, 60591, 50620, 60496, 56432, 50620, 58365, 59265, 50619, 50448, 51120, 52528, 50449, 51027, 52256, 50799, 50619, 50871, 53420, 50916, 52872, 50899, 53575, 51027, 55659, 50899, 51333, 50460, 51176, 51297, 51034, 50623, 75643, 51120, 55086, 51027, 55086, 50417, 51081, 54964, 50999, 56237, 51399, 54504, 51146, 57524, 51081, 55659, 50999, 52034, 50447, 71985, 50448, 51176, 51297, 51034, 50877, 52034, 50931, 52034, 51120, 55086, 51027, 55086, 50423, 64444, 77936, 53645, 70358, 57524, 50916, 65351, 55659, 50871, 52845, 50318, 51333, 51034, 51028, 52216, 50302, 55036, 50308, 55036, 50311, 55036, 50294, 55086, 67855, 52928, 51027, 52440, 50899, 52440, 50871, 52440, 50877, 51490, 51034, 51028, 52216, 50302, 55036, 50308, 55036, 50311, 55036, 50294, 55086, 50418, 50623, 67855, 54316, 50622, 57025, 52440, 50899, 52440, 50871, 52440, 50877, 51490, 50428, 50622, 50432, 50621, 50436, 50621, 50441, 50621, 50446, 50620, 51034, 50619, 51028, 52216, 50294, 55036, 50302, 55036, 50308, 55036, 50311, 52397, 67855, 52928, 50906, 51748, 51018, 50438, 51040, 51333, 51540, 50626, 50474, 50877, 50870, 50999, 50870, 51540, 50877, 52386, 50325, 55108, 50877, 50870, 50999, 53003, 50877, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51540, 51120, 50982, 50877, 52386, 50325, 64179, 51378, 51297, 57025, 70227, 51027, 51297, 55898, 50982, 50877, 50870, 50999, 60852, 50899, 60258, 50989, 59903, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51540, 51120, 50982, 50877, 52386, 50325, 64179, 51378, 51297, 57025, 70227, 51027, 51297, 55898, 50982, 50877, 50870, 50999, 60852, 50899, 60258, 50989, 59903, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51540, 51360, 50982, 50906, 52386, 50326, 64179, 51378, 51297, 56759, 70227, 50997, 51297, 59419, 50982, 50906, 50870, 51081, 60852, 50916, 60258, 50989, 62378, 52386, 50326, 50971, 50474, 50906, 50825, 51081, 50825, 51540, 59924, 50973, 78163, 59329, 50626, 50424, 51378, 53272, 51086, 53031, 50625, 50436, 51086, 53945, 50899, 74782, 50834, 51220, 60067, 50625, 50450, 50624, 51279, 73357, 51537, 50329, 61996, 50624, 50460, 51027, 50864, 50462, 50916, 50825, 50468, 50623, 50902, 50834, 51146, 50834, 50472, 51040, 50864, 50474, 50861, 50825, 50968, 50825, 51430, 50825, 50478, 50623, 51540, 50626, 51120, 72680, 51145, 51146, 51145, 50424, 51378, 53272, 51027, 59051, 51027, 53945, 50899, 61541, 50870, 50999, 60852, 50899, 53996, 50989, 62391, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 51114, 50981, 51540, 51120, 61541, 52386, 50325, 52386, 50322, 53753, 50424, 51378, 53272, 51027, 59051, 51027, 53945, 50899, 61541, 50870, 50999, 60852, 50899, 53996, 50989, 62391, 52386, 50325, 50971, 50474, 50877, 50870, 50999, 50870, 50902, 50981, 51540, 51120, 71695, 68917, 51145, 50424, 51378, 53272, 51027, 59051, 51027, 53945, 50899, 71695, 77112, 50981, 50447, 50973, 71765, 50899, 53996, 50989, 66256, 68917, 50981, 50462, 50965, 50981, 50474, 50999, 77112, 50981, 51540, 51360, 71695, 52386, 50315, 51677, 50424, 51026, 53272, 51027, 59051, 51027, 53945, 50916, 61541, 50870, 50999, 60145, 50916, 53996, 50999, 68917, 51145, 50451, 50861, 50855, 50474, 50877, 50870, 50999, 50870, 51540, 51360, 74782, 51490, 51220, 51490, 50424, 51026, 53272, 51027, 59051, 51027, 53945, 50916, 61541, 52845, 50325, 51333, 50449, 50916, 53996, 50877, 51490, 50999, 51490, 50451, 50861, 50855, 50474, 50906, 51741, 50326, 51333, 50475, 51378, 51172, 51040, 51172, 50916, 51172, 51540, 59924, 51220, 52386, 50315, 53753, 50424, 51378, 53272, 51086, 59051, 51086, 53945, 50899, 74782, 50870, 51220, 60852, 50899, 53996, 50989, 67046, 52386, 50327, 50971, 50474, 51399, 50870, 51028 ]

[ 0, 250, 32076, 8, 15352, 30054, 5175, 3495, 2214, 11, 272, 538, 6, 4246, 10, 13305, 6, 24896, 6, 21072, 6, 21979, 9590, 6, 8, 1893, 43639, 4, 590, 10, 20889, 9, 9680, 13410, 228, 2289, 6, 24, 11498, 41, 12447, 1001, 2877, 1328, 63, 765, 13428, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 24536, 10, 33215, 16739, 9, 230, 6, 272, 6, 8, 211, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 50799, 53862, 57253, 56179, 55823, 50859, 50968, 66087, 61679, 59573, 54515, 51215, 50951, 73577, 55823, 60867, 61679, 65544, 55122, 54163, 51215, 51086, 57743, 60358, 51215, 50447, 53862, 73624, 54721, 54163, 79541, 57743, 60358, 55416, 55823, 60867, 61679, 65544, 50879, 51540, 54515, 52392, 50951, 52392, 53523, 51159, 50916, 51159, 55203, 51159, 50916, 51159, 50462, 56101, 65815, 51159, 50916, 51159, 50999, 51073, 50474, 54515, 51294, 51026, 51159, 50900, 51159, 50916, 51159, 50951, 51294, 70814, 54157, 76028, 57316, 55823, 77468, 51159, 50900, 51159, 50916, 51159, 50968, 69052, 54163, 51294, 51026, 51159, 51086, 70651, 51159, 50902, 51294, 50456, 55823, 51710, 50320, 50924, 50462, 54163, 77468, 51159, 51086, 70651, 51159, 50902, 51073, 50474, 53862, 65815, 51159, 50916, 78040, 51073, 51474, 50432, 55823, 56535, 54515, 54773, 54922, 51073, 51085, 51159, 50900, 51159, 50968, 51073, 50951, 51073, 51062, 51073, 50474, 53771, 51588, 50292, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 50480, 53863, 51241, 51540, 64612, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 53077, 51241, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 64589, 51406, 53083, 52261, 50456, 53250, 50937, 50462, 53077, 51056, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51945, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 51406, 53083, 52261, 50462, 54985, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 65091, 50841, 50474, 53863, 51241, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 52261, 50420, 53407, 57817, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 53771, 51241, 51279, 51312, 51027, 51312, 50899, 78979, 51056, 65943, 51216, 51056, 64589, 51406, 53083, 52261, 50456, 53077, 50937, 50462, 53250, 51056, 51279, 51312, 51027, 51312, 50899, 78979, 51056, 65943, 51216, 51056, 65091, 50841, 50474, 53077, 51359, 51214, 51312, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 72229, 51540, 64612, 51214, 51312, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 54726, 53116, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 64589, 51406, 53083, 52261, 50462, 53077, 51056, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51241, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 52667, 53771, 58020, 53077, 51241, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 64589, 51406, 53083, 52261, 50456, 53250, 50937, 50462, 53077, 51056, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51417, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 50623, 54985, 51675, 51247, 51742, 51050, 51742, 50871, 51675, 50877, 51675, 50876, 51675, 51140, 51675, 64589, 60368, 50841, 50462, 50804, 50841, 50465, 50804, 50841, 50468, 51326, 50841, 50471, 51326, 50841, 50474, 50634, 53863, 51241, 51214, 51312, 51026, 51312, 50916, 61317, 65943, 73964, 72229, 51540, 52261, 50420, 53407, 57817, 53771, 51056, 51214, 51312, 51026, 51312, 50916, 61317, 65943, 73964, 64589, 54726, 53116, 53077, 51056, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 64589, 51406, 53083, 50630, 53771, 51241, 52261, 50462, 51214, 51312, 51026, 51312, 50871, 61317, 50973, 51056, 73964, 65091, 50841, 50468, 53077, 50937, 50474, 53250, 51359, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 51085, 51448, 50900, 51448, 50916, 73327, 51417, 50876, 51417, 51150, 51417, 64589, 51406, 52881, 52060, 50841, 50462, 50634, 53250, 51056, 51553, 50841, 50468, 51326, 50841, 50474, 53250, 51588, 50285, 51448, 51050, 51448, 51140, 51417, 72229, 50480, 53407, 51241, 51540, 50871, 51056, 66148, 50876, 79034, 52870, 53407, 64475, 66148, 50876, 55067, 54726, 53116, 54985, 51241, 51247, 51448, 51050, 51448, 51140, 51417, 54933, 53083, 50871, 51056, 66148, 50876, 79034, 52881, 53863, 50937, 50462, 53407, 64475, 66148, 50876, 55067, 54726, 50841, 50474, 54985, 51056, 51085, 51448, 50900, 51448, 51150, 51417, 72229, 51540, 53863, 51945, 50916, 61317, 50876, 79034, 52870, 50916, 61317, 50876, 55067, 54726, 53116, 51085, 51448, 50900, 51448, 51150, 51417, 54933, 53083, 50916, 61317, 50876, 75065, 50462, 53863, 74669, 61317, 50876, 55067, 54726, 50841, 50474, 53771, 51241, 51085, 51448, 50900, 51448, 51150, 51417, 72229, 51540, 50916, 61317, 50876, 79034, 53223, 53077, 57817, 53250, 74669, 61317, 50876, 55067, 54726, 53116, 53863, 51241, 51085, 51448, 50900, 51448, 51150, 51417, 54933, 53083, 50916, 61317, 50876, 79034, 52881, 53407, 50937, 50462, 53771, 74669, 61317, 50876, 55067, 54726, 50841, 50474, 53077, 51945, 51214, 51448, 51026, 51448, 51098, 51417, 72229, 51540, 50899, 61317, 50973, 79034, 52870, 50899, 61317, 50973, 55067, 54726, 53116, 51214, 51312, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 51406, 53083, 53250, 77304, 51326, 50841, 50462, 53077, 51056, 51326, 50841, 50468, 51326, 50841, 50474, 53771, 51588, 50292, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 50480, 53863, 51241, 51540, 64612, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 53077, 51241, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 64589, 51406, 53083, 52261, 50456, 53250, 50937, 50462, 53077, 51056, 51324, 51312, 51086, 51312, 50871, 61317, 74576, 51668, 51056, 65091, 50841, 50474, 53771, 51056, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 72229, 51540, 53863, 51945, 64612, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 54726, 53116, 51085, 51312, 50900, 51312, 50916, 61317, 65943, 51150, 51056, 64589, 51406, 53083, 52261, 50462, 53771, 51056, 51360, 51312, 51040, 51312, 50916, 61317, 64384, 51868, 51056, 65091, 50841, 50474, 53077, 51056, 51120, 51312, 50899, 51312, 50861, 51056, 50973, 51056, 51389, 51056, 72229, 51540, 53863, 51241, 64612, 51120, 51312, 50899, 51312, 50861, 51056, 50973, 51056, 51389, 51056, 64589, 54726, 52667, 53077, 58020, 53077, 51588, 50282, 51312, 51120, 51312, 50899, 78979, 51056, 66148, 65943, 51273, 51056, 64589, 51406, 53041, 53250, 73324, 52261, 50462, 54812, 51056, 51799, 51312, 51120, 51312, 50899, 78979, 51056, 66148, 65943, 51273, 51056, 65091, 50841, 50474, 55062, 51518, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 60368, 50841, 51474, 56947, 51312, 50899, 61317, 50973, 51056, 73964, 64589, 54726, 53116, 51026, 51312, 50899, 61317, 50973, 51056, 73964, 54933 ]

[ 0, 713, 14899, 3495, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 657, 149, 63, 15352, 30054, 15229, 4, 25837, 2987, 30, 41, 20425, 11739, 9, 21072, 6, 21979, 8669, 6, 3152, 6757, 6, 8, 3459, 9590, 6, 24, 11498, 10, 5204, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 16331, 33215, 16739, 9, 211, 6, 272, 6, 8, 83, 4620, 5, 46336, 24456, 6, 2351, 10, 2950, 8, 32076, 5466, 14, 18, 1969, 13, 5, 1619, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50438, 51270, 52743, 51270, 50825, 54458, 54967, 57056, 72258, 54652, 51878, 57969, 50905, 50416, 53160, 70506, 58598, 50971, 51762, 50421, 50935, 68744, 50841, 55017, 54317, 50935, 51095, 55017, 51267, 58598, 51221, 58413, 59485, 51007, 51124, 51065, 52417, 50953, 51049, 58855, 53165, 60934, 51332, 51295, 51133, 51294, 54967, 61110, 55209, 54758, 50909, 50812, 53455, 54438, 51437, 56038, 55209, 51177, 53455, 72807, 53886, 51149, 51215, 51439, 51238, 58413, 59163, 56170, 51365, 50456, 51133, 53690, 51437, 57962, 52364, 51314, 58282, 51562, 51271, 51016, 55017, 59622, 53983, 51437, 63244, 55017, 53728, 51007, 50855, 51762, 50425, 52949, 51377, 57804, 51116, 51065, 52524, 51840, 51060, 51649, 51110, 58413, 60759, 55017, 52767, 51271, 50940, 52112, 50437, 51332, 51115, 51133, 51013, 53165, 51108, 51065, 50862, 51450, 51437, 53239, 50909, 50901, 56170, 55136, 51437, 56038, 54907, 51079, 55209, 51159, 53455, 55441, 51149, 51110, 51439, 51095, 51415, 51227, 51065, 53825, 51239, 59163, 55348, 69096, 50909, 53630, 51437, 57962, 50953, 51204, 54652, 51148, 74491, 51562, 51065, 52784, 51437, 53576, 50935, 56705, 50857, 51762, 50421, 51007, 52762, 50935, 51095, 51007, 50991, 51125, 50855, 55017, 51203, 58598, 51100, 58413, 55949, 54334, 65343, 57969, 50864, 52112, 50433, 50847, 53018, 51332, 51047, 51133, 51204, 53165, 51490, 51065, 53351, 51437, 53239, 50909, 53197, 51437, 57460, 56170, 53421, 51149, 51116, 51439, 50991, 55209, 51100, 53455, 51178, 51065, 53228, 51239, 53173, 51133, 50859, 56170, 53970, 51437, 50846, 58282, 51183, 51271, 51294, 52364, 51878, 51065, 53852, 51437, 53576, 73188, 51762, 50421, 55017, 52917, 51840, 51060, 51007, 50863, 51649, 51100, 57804, 51178, 52949, 51194, 55981, 56450, 51239, 59485, 52238, 52767, 51007, 50867, 51271, 50948, 55017, 50874, 51782, 52418, 71150, 53165, 65461, 51133, 51048, 54967, 57014, 51332, 51310, 50444, 50909, 51100, 56170, 54438, 51437, 79805, 61925, 51415, 51227, 55209, 51177, 53455, 65504, 51149, 51095, 51439, 51215, 54907, 55742, 51239, 65163, 56353, 55348, 50933, 51326, 58464, 56170, 53581, 77655, 53822, 50905, 51326, 54739, 51437, 57962, 50953, 51091, 54652, 51314, 74491, 51295, 54967, 53576, 57969, 50971, 51762, 50425, 58598, 51101, 55017, 51255, 50426, 72863, 51007, 51124, 51065, 53404, 51239, 59485, 51125, 52818, 50847, 50857, 70431, 57969, 52348, 58855, 51332, 51562, 53165, 51314, 67465, 51091, 54967, 53239, 66664, 54967, 56038, 55209, 51101, 53455, 77393, 51149, 50938, 51439, 50924, 51065, 55071, 51239, 59163, 56170, 54622, 59178, 51149, 51128, 51439, 51123, 51133, 53071, 51437, 50846, 58282, 51562, 51271, 51204, 52364, 51314, 51065, 53983, 51437, 62456, 52639, 51840, 51177, 73509, 57804, 51194, 52949, 64738, 54087, 51239, 60759, 55017, 65252, 51007, 50941, 52112, 50433, 51133, 52444, 51332, 51310, 73438, 53165, 51330, 54967, 50846, 52129, 51437, 57460, 50909, 69262, 56170, 52846, 51149, 51121, 51439, 51100, 51415, 51112, 54907, 50904, 55209, 51025, 53455, 51255, 58413, 56694, 58345, 55348, 78877, 56170, 59593, 50909, 50840, 53822, 51058, 54967, 57962, 50953, 51013, 54652, 51447, 74491, 51115, 54967, 53576, 50935, 51559, 57404, 50847, 79371, 52928, 50935, 51110, 51007, 51221, 58598, 50892, 55017, 51233, 51065, 51008, 58413, 60759, 68239, 57969, 53860, 50847, 51589, 58855, 51133, 64740, 51332, 51562, 53165, 51080, 54967, 53239, 60428, 56170, 60984, 51437, 52725, 51439, 50991, 51149, 51110, 50909, 50825, 55209, 51101, 53455, 51177, 51065, 51753, 58413, 59163, 56170, 54622, 79381, 51133, 51730, 51437, 50846, 58282, 51562, 51271, 51204, 52364, 51314, 54967, 53576, 67422, 51762, 50425, 51065, 52059, 50426, 51840, 51060, 51649, 51178, 52238, 50829, 57804, 50892, 52949, 51337, 55981, 59500, 51239, 52975, 51007, 50854, 51271, 50830, 55017, 50874, 52112, 50436, 51065, 70816, 51332, 51295, 51133, 51013, 53165, 51333, 54967, 60547, 51065, 60466, 50909, 51101, 54967, 56038, 54907, 54060, 55209, 51400, 53455, 79308, 51439, 51095, 51149, 51111, 51415, 51048, 51065, 54494, 51239, 57150, 55348, 65126, 56170, 64360, 53822, 57092, 50909, 53632, 51437, 50846, 74491, 51189, 50953, 51204, 54652, 51314, 54967, 62456, 57074, 55017, 65785, 72743, 51007, 51221, 58598, 50978, 51065, 56758, 51239, 60759, 57969, 52818, 56894, 50953, 51420, 58855, 53165, 67608, 51332, 51295, 51133, 51091, 54967, 53239, 50909, 50901, 54967, 52725, 51149, 51124, 51439, 50991, 55209, 50905, 53455, 51212, 58413, 59163, 56170, 55293, 50909, 50813, 51133, 51730, 51437, 50846, 58282, 51562, 51271, 51091, 52364, 52147, 51065, 54438, 51437, 63244, 51065, 60740, 52639, 51840, 51121, 51649, 51194, 51007, 50829, 52238, 50835, 57804, 51242, 52949, 51212, 55981, 59500, 51239, 60759, 55017, 55100, 51007, 50867, 51271, 50921, 52112, 50437, 51332, 51535, 67465, 51016, 53165, 51466, 54967, 53239, 50909, 50974, 54967, 52725, 51149, 51393, 50323, 51121, 51415, 51157, 54907, 50941, 55209, 50845, 53455, 56649, 51239, 63317, 55348, 79181, 53822, 50838, 56170, 55162, 50909, 51747, 51437, 50846, 52563, 50884, 54652, 56240, 51437, 57056, 72258, 54652, 51878, 57969, 50905, 50416, 53160, 70506, 58598, 50971, 51762, 50421, 50935, 68744, 50841, 55017, 54317, 50935, 51095, 55017, 51267, 58598, 51221, 58413, 59485, 51007, 65903, 50953, 51049, 58855, 53165, 60934, 51332, 51295, 51133, 51294, 54967, 61110, 55209, 54758, 50909, 50812, 53455, 54438, 51437, 56038, 55209, 51177, 53455, 55441, 51149, 51215, 51439, 51238, 58413, 56694, 59842, 56170, 51365, 50456, 51133, 53690, 51437, 57962, 52364, 51314, 58282, 51562, 51271, 51016, 55017, 56630, 51437, 63244, 55017, 53728, 51007, 50379, 53823, 51187, 64676, 60341, 52949, 51377, 57804, 69745, 51840, 51060, 51649, 51110, 58413, 60759, 55017, 52767, 51271, 50940, 51224, 76494, 51437, 58855, 51332, 51115, 51133, 51013, 53165, 51108, 51450, 51437, 53239, 50909, 50901, 56170, 69330, 65529, 53756, 51437, 56038, 54907, 51079, 55209, 51159, 53455, 77656, 53533, 51149, 51110, 51439, 51095, 51415, 51227, 51326, 54382, 51239, 63317, 51326, 70332, 55348, 51376, 51224, 68196, 52881, 50909, 53630, 51437, 57962, 50953, 51204, 54652, 51148, 74491, 51562, 54967, 53576, 50935, 56705, 50857, 51762, 50421, 51007, 52762, 50935, 51095, 51007, 50991, 51125, 50855, 55017, 51203, 58598, 51100, 58413, 52975, 65343, 57969, 50864, 52112, 50433, 50847, 53018, 51332, 51047, 51133, 51204, 53165, 51490, 54967, 53239, 50909, 53197, 51437, 57460, 56170, 53421, 51149, 51116, 51439, 50991, 55209, 51100, 53455, 51178, 58413, 53173, 51133, 50859, 56170, 53970, 51437, 50846, 58282, 51183, 51271, 51294, 52364, 51878, 54967, 53576, 73188, 51762, 50421, 55017, 52917, 51840, 51060, 51007, 50863, 51649, 51100, 57804, 51178, 52949, 51194, 55981, 56450, 51239, 59485, 52238, 52767, 51007, 50867, 51271, 50948, 55017, 50874, 52112, 50437, 53165, 65461, 51133, 51048, 54967, 57014, 51332, 51310, 50444, 50909, 51100, 56170, 54438, 51437, 56038, 51415, 51227, 55209, 51177, 53455, 65504, 51149, 51095, 51439, 51215, 54907, 55742, 51239, 55079, 55348, 50933, 50455, 56170, 53581, 77655, 53822, 50905, 54967, 57962, 50953, 51091, 54652, 51314, 74491, 51295, 54967, 53576, 57969, 50971, 51762, 50425, 58598, 51101, 55017, 51255, 50426, 72863, 51007, 51124, 58413, 59485 ]

[ 0, 713, 17627, 17274, 5175, 2214, 11, 12608, 538, 1575, 10, 2382, 3459, 8669, 8, 13305, 816, 34879, 81, 10, 5204, 1451, 1286, 30, 21072, 8, 3459, 8669, 4, 16241, 212, 20535, 3639, 7, 5, 32076, 5466, 4, 20, 2125, 11498, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 19, 5, 33215, 16739, 9, 12608, 6, 230, 119, 6, 8, 272, 119, 16331, 5705, 1328, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 50796, 61791, 50956, 52996, 57454, 50938, 51092, 50942, 50418, 50965, 51006, 51281, 58793, 57454, 58235, 50876, 51376, 57454, 50846, 52947, 52518, 51341, 57104, 50965, 50838, 79404, 50903, 64408, 50956, 51797, 52947, 51252, 51281, 50942, 65281, 52731, 52947, 51252, 51341, 56180, 50965, 50838, 57454, 50938, 52947, 52518, 51092, 50937, 50442, 50956, 51797, 51281, 69877, 57454, 57854, 50876, 51470, 57454, 50846, 52947, 52518, 51341, 58238, 50965, 50933, 51092, 50942, 50903, 66663, 50956, 51166, 52947, 51022, 51281, 61997, 50965, 51365, 52947, 51524, 51341, 50878, 54578, 52996, 57454, 50938, 51616, 54298, 51092, 50942, 50418, 50965, 51006, 51281, 58793, 57454, 58235, 50876, 51376, 57454, 50846, 51616, 52518, 51061, 57104, 50965, 50838, 79404, 50903, 64408, 50871, 51797, 51616, 51252, 51281, 50942, 65281, 52731, 51616, 51252, 51061, 56180, 50965, 50838, 57454, 50938, 51616, 52518, 51092, 50937, 50442, 50871, 51797, 51281, 69877, 57454, 57854, 50876, 51470, 57454, 50846, 51616, 52518, 51061, 58238, 50965, 50933, 51092, 50942, 50903, 66663, 50871, 51166, 51616, 51862, 51281, 61997, 50965, 51365, 52947, 51524, 76006, 56178, 52996, 54067, 50938, 51092, 50942, 51118, 54298, 50418, 50861, 51006, 51020, 58793, 54067, 58235, 50876, 51376, 54067, 50846, 51118, 52518, 51341, 51006, 54439, 50838, 79404, 50903, 60394, 50956, 51797, 52947, 51252, 51020, 50942, 65281, 52731, 52947, 55789, 51341, 56180, 50861, 50838, 54067, 50938, 51118, 52518, 51092, 50937, 50442, 50956, 51797, 51020, 69877, 54067, 57854, 50876, 51470, 54067, 50846, 51118, 53957, 51341, 50955, 56222, 50933, 51092, 50942, 50903, 62564, 50956, 51166, 52947, 51387, 51020, 61997, 76584, 51341, 50878, 56178, 52996, 54067, 50938, 52947, 52518, 51546, 50942, 50418, 50861, 51006, 51020, 58793, 54067, 58235, 50906, 51376, 54067, 50846, 52947, 52518, 51341, 51006, 54439, 50838, 51546, 50878, 50903, 63341, 50956, 51797, 52947, 51252, 51020, 66855, 50906, 52731, 51105, 50844, 52947, 51252, 51341, 55759, 53945, 50861, 50838, 54067, 50938, 67362, 52947, 52518, 51546, 58473, 63753, 50956, 51797, 51105, 50955, 51020, 63834, 55434, 54067, 57854, 50906, 51470, 54067, 50846, 50964, 50844, 52947, 52518, 51341, 60623, 54915, 58222, 63635, 51020, 59756, 61171, 50956, 51166, 51105, 50844, 52947, 51022, 51341, 55576, 69185, 57059, 76584, 50964, 50810, 52947, 51524, 51020, 55576, 67256, 50825, 56178, 50907, 62094, 65996, 51001, 50907, 51147, 51123, 57249, 50977, 57454, 50917, 53862, 50977, 51325, 51400, 51092, 50942, 51674, 51243, 51334, 52140, 52031, 73506, 61819, 61158, 50965, 78284, 50851, 60714, 51001, 50851, 51147, 51123, 51281, 57075, 53403, 57249, 50829, 57454, 50820, 53862, 56856, 71152, 78675, 67030, 51001, 50984, 51147, 50984, 57249, 50820, 57454, 50841, 53862, 50820, 52947, 52518, 51341, 71823, 52762, 50965, 68804, 50827, 67030, 67108, 51147, 50984, 51325, 50904, 51092, 60162, 53110, 60443, 50965, 52081, 50319, 53529, 50324, 52666, 50307, 51123, 67030, 52947, 51252, 51281, 65928, 59516, 50965, 52386, 50319, 52081, 50324, 52081, 50307, 50912, 57947, 51325, 50886, 52947, 51252, 51341, 62241, 52621, 50965, 77236, 52386, 50307, 50827, 60714, 67108, 57249, 50977, 57454, 50917, 53862, 50977, 51325, 51397, 52947, 52518, 51092, 57564, 53612, 59721, 50965, 69666, 72938, 52386, 50324, 52666, 50307, 50907, 51281, 67912, 53027, 57249, 50829, 57454, 50820, 53862, 56892, 50956, 72172, 77236, 52666, 50316, 50907, 51001, 50851, 57249, 50820, 57454, 50841, 53862, 50820, 52947, 52518, 51341, 64709, 52743, 50965, 61316, 52386, 50319, 52081, 50324, 52666, 50307, 50912, 51092, 50942, 51334, 51199, 50816, 53110, 57098, 50956, 72172, 69666, 52386, 50319, 51954, 50324, 50941, 52947, 51022, 51281, 57075, 59552, 70226, 67030, 51001, 50907, 51147, 50907, 50956, 51210, 52947, 51524, 51341, 61484, 50837, 54578, 50907, 62094, 65996, 50931, 50907, 51147, 51123, 54978, 50977, 57454, 50917, 53862, 50977, 50945, 51115, 51616, 54298, 51092, 50942, 51256, 51243, 51674, 51314, 51334, 52140, 50798, 53665, 60461, 50965, 64470, 50851, 60714, 66735, 51147, 51123, 51281, 57075, 53023, 54978, 50829, 57454, 50820, 53862, 56856, 63227, 78675, 67030, 71427, 51147, 50984, 54978, 50820, 57454, 50841, 53862, 50820, 51616, 52518, 51061, 71823, 52641, 50965, 61123, 50827, 67030, 59715, 51147, 50984, 51092, 60162, 53110, 60443, 50965, 79783, 53529, 50324, 75770, 51123, 67030, 51616, 51252, 51281, 65928, 58039, 50965, 52386, 50324, 61582, 50912, 57947, 50931, 50912, 50945, 50867, 51616, 51252, 51061, 55759, 54493, 52621, 50965, 66445, 77236, 75868, 50827, 60714, 54978, 50977, 57454, 50917, 53862, 50977, 50945, 51562, 51616, 52518, 51092, 50937, 51674, 74744, 53864, 60067, 50965, 69666, 66445, 52386, 50324, 75770, 50907, 51281, 67912, 54394, 54978, 50829, 57454, 50820, 53862, 56892, 50871, 72172, 77236, 52666, 50316, 50907, 66735, 54978, 50820, 57454, 50841, 53862, 50820, 51616, 52518, 51061, 64709, 52763, 50965, 61316, 73990, 52081, 50324, 75770, 50912, 51092, 50942, 51334, 51199, 50856, 53831, 61192, 50871, 72172, 69666, 73990, 51954, 50324, 50941, 51616, 51862, 51281, 57075, 57950, 67558, 70226, 67030, 50931, 50907, 51147, 50907, 52947, 51524, 51061, 57075, 50820, 56178, 50907, 58219, 65996, 51001, 50907, 50951, 51123, 57249, 50977, 54067, 50917, 53862, 50977, 50964, 51310, 51092, 50942, 51118, 54298, 51772, 51243, 51209, 51314, 51334, 52140, 50798, 53612, 60461, 50861, 78284, 50851, 60714, 51001, 50851, 50951, 51123, 51020, 57075, 53403, 57249, 50829, 54067, 50820, 53862, 56856, 71152, 57660, 67030, 51001, 50984, 76893, 57249, 50820, 54067, 50841, 53862, 77356, 52518, 51341, 71823, 52762, 50861, 68804, 50827, 67030, 67108, 76893, 51092, 60162, 53110, 60443, 50861, 52081, 50319, 53529, 50307, 51123, 67030, 76893, 52947, 51252, 51020, 65928, 59516, 50861, 52386, 50307, 50912, 57947, 51001, 50912, 78561, 50964, 50886, 52947, 55789, 51341, 62241, 52621, 50861, 68804, 50827, 60714, 67108, 71985, 57249, 50977, 54067, 50917, 53862, 50977, 50964, 51448, 51118, 52518, 51092, 50937, 51209, 72213, 53612, 59721, 50861, 69666, 72938, 52386, 50307, 50907, 76893, 51020, 67912, 53027, 57249, 50829, 54067, 50820, 53862, 56892, 50956, 66813, 64468, 52666, 50316, 50907, 51001, 50851, 57249, 50820, 54067, 50841, 53862, 77356, 53957, 51341, 64709, 52743, 50861, 61316, 52386, 50323, 52666, 50307, 50912, 51001, 50912, 51092, 50942, 52031, 51199, 50816, 53110, 57098, 50956, 66813, 69666, 52386, 50319, 72394, 50941, 52947, 51387, 51020, 57075, 59552, 50956, 50907, 60192, 67030, 51001, 50907, 71985, 51341, 61484, 50837, 56178, 50907, 58219, 69195, 51001, 50907, 50951, 51123, 57249, 50977, 54067, 50917, 54899, 50977, 51105, 51318, 52947, 52518, 51546, 50942, 51209, 51680, 51408, 51244, 52031, 52140, 50798, 53665, 60461, 50861, 78284, 50851, 63613, 51001, 50851, 50951, 51123, 51020, 57075, 53023, 57249, 50829, 54067, 50820, 54899, 56856, 71152, 57660, 70181, 76893, 51001, 51365, 57249, 50820, 54067, 50841, 54899, 50820, 52947, 52518, 51341, 71823, 52641, 50861, 68804, 50827, 70181, 67108, 76893, 51546, 60162, 53110, 60443, 50861, 52081, 50307, 51123, 70181, 51001, 51123, 76893, 52947, 51252, 51020, 65928, 58039, 50861, 52386, 50319, 52081, 50307, 50912, 61801, 78561 ]

[ 0, 250, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 42, 15229, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 19448, 23225, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 30853, 19, 10, 33215, 16739, 9, 272, 119, 6, 230, 401, 6, 211, 6, 8, 272, 4, 20, 2635, 2877, 8, 16487, 1943, 6711, 146, 24, 157, 12, 9228, 4560, 13, 304, 11, 822, 50, 569, 177, 2369, 36546, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50416, 52550, 51009, 52895, 51352, 55411, 51184, 53029, 51184, 52205, 51184, 50441, 52550, 66395, 52573, 50824, 52044, 50824, 52478, 53334, 50824, 51975, 50824, 52550, 51009, 52205, 51009, 50431, 52797, 53681, 55411, 51009, 53029, 51009, 52550, 51009, 52205, 51009, 51975, 51352, 55753, 52049, 51009, 52573, 51352, 53029, 51184, 52044, 51184, 50434, 51975, 66456, 52797, 50824, 52049, 51009, 50459, 52573, 50824, 52242, 50824, 60212, 52797, 51029, 53029, 51009, 52573, 51352, 52049, 51352, 50443, 51975, 64070, 53029, 51009, 53640, 51009, 52044, 51352, 50799, 52550, 52410, 53296, 52038, 52550, 51029, 53571, 51009, 52662, 51009, 50439, 51975, 77189, 52573, 69986, 56495, 51029, 53334, 51009, 52205, 51352, 51975, 51184, 57731, 53571, 55396, 52573, 50824, 53029, 51184, 50442, 52342, 50802, 52550, 50824, 50448, 52895, 67897, 52044, 50824, 52573, 51009, 52797, 51009, 53069, 52342, 50824, 50431, 52049, 51029, 51975, 51029, 52416, 51029, 52550, 51009, 53029, 51352, 55411, 51184, 50450, 52292, 58691, 52740, 50824, 52550, 51009, 55753, 53029, 50824, 52573, 63721, 52740, 51029, 52049, 51029, 51975, 51029, 52550, 51009, 53029, 51352, 55411, 51184, 50453, 52049, 54934, 52242, 50802, 52550, 51009, 52478, 52443, 75800, 51975, 50802, 53029, 65514, 52044, 62472, 52895, 50802, 53029, 51029, 52550, 51029, 55411, 51184, 52205, 51184, 50443, 52044, 64070, 52895, 52325, 53029, 50802, 52342, 50802, 50799, 53249, 50802, 52895, 54226, 53895, 61536, 52550, 50802, 52044, 70245, 52573, 63747, 53334, 50824, 51975, 50824, 52205, 51009, 52550, 51352, 50452, 52573, 50823, 52797, 54098, 53334, 67903, 52292, 50823, 52177, 53334, 51009, 51975, 51009, 52205, 74666, 55411, 75085, 52049, 51009, 52573, 51352, 53029, 51184, 52044, 51184, 50448, 52797, 60646, 52242, 62167, 52797, 50802, 53069, 51975, 50802, 52292, 54107, 52242, 52030, 52797, 50802, 53334, 53663, 51975, 62485, 52797, 50802, 52044, 50802, 53029, 51009, 52573, 51009, 52049, 51009, 50451, 51975, 58268, 52044, 57303, 52895, 58055, 66387, 51809, 52205, 60442, 52662, 58026, 52044, 51009, 53640, 51009, 50428, 53029, 57925, 53249, 52674, 53296, 52057, 52550, 53609, 52573, 52284, 52740, 52911, 52292, 50802, 52662, 51009, 50454, 53571, 57303, 53029, 58055, 53249, 50803, 51975, 50824, 51601, 53296, 62180, 52550, 59236, 52573, 59174, 51975, 50802, 56495, 51009, 53334, 51009, 52205, 51009, 50431, 52044, 62472, 52895, 62148, 51975, 52175, 52044, 50802, 53571, 51009, 52573, 51009, 52342, 65202, 51975, 50802, 50799, 52797, 66350, 52242, 61536, 52797, 50860, 53029, 51009, 52573, 51009, 52049, 51009, 52044, 51009, 50433, 51975, 66456, 52797, 69986, 52049, 51029, 51975, 51029, 52416, 51029, 53029, 51009, 52550, 51352, 55411, 51184, 57731, 52044, 56998, 51975, 58874, 52443, 50803, 53029, 51009, 50433, 52242, 58198, 52049, 57149, 52292, 60295, 52740, 50803, 52550, 66456, 52292, 57891, 52049, 62103, 52292, 58403, 52740, 50824, 52550, 51029, 53029, 51009, 55411, 51184, 52591, 52740, 51352, 52049, 51352, 51975, 61874, 52550, 61511, 53029, 77189, 52550, 79263, 52049, 51352, 51975, 51352, 52550, 51184, 53334, 51184, 50796, 50435, 52205, 51009, 50448, 52292, 50824, 52044, 50824, 50460, 52550, 51009, 52049, 51009, 52895, 51009, 52205, 51009, 61627, 52044, 50824, 53249, 51009, 53322, 51009, 52662, 70851, 51975, 50824, 51601, 52049, 51009, 52895, 51009, 53640, 51009, 53029, 51184, 50440, 53640, 50823, 52573, 50824, 52044, 57310, 52662, 63816, 53640, 58615, 52662, 50823, 52049, 50824, 50457, 52205, 62181, 52662, 50823, 52177, 53029, 51009, 52573, 51009, 52049, 51009, 52044, 51009, 53640, 51009, 50443, 56280, 51009, 52242, 51009, 52044, 51009, 52662, 51352, 50455, 52573, 50824, 52591, 52443, 51009, 52044, 51009, 53029, 51184, 52573, 51184, 50433, 52205, 77189, 52242, 50824, 53296, 51009, 52205, 51352, 50458, 52049, 50824, 57731, 53249, 50824, 52242, 51009, 52044, 51009, 55061, 51184, 52573, 51184, 50435, 53731, 50802, 53029, 75085, 52416, 80220, 53731, 50802, 53249, 51009, 50454, 52205, 73300, 52044, 51009, 53069, 53731, 65214, 53895, 51029, 53029, 51184, 52205, 51184, 50438, 52895, 62001, 52550, 59712, 52573, 50824, 50457, 52044, 58055, 69289, 51601, 66017, 53334, 73354, 51975, 58026, 52797, 57615, 52242, 60066, 52797, 50824, 52573, 51029, 53029, 51184, 50441, 52797, 51352, 52044, 51352, 52205, 51352, 50447, 52049, 55680, 52573, 50824, 52478, 52049, 65514, 53334, 51352, 52049, 51352, 51975, 51352, 52550, 51184, 50456, 52205, 51009, 52591, 52292, 50824, 52044, 70245, 52550, 51009, 52049, 51009, 52895, 51009, 52205, 51009, 50458, 52044, 50824, 53249, 51009, 53322, 51009, 52662, 51009, 57731, 51975, 50824, 50436, 52049, 51009, 52895, 51009, 53640, 51009, 53029, 51184, 50461, 53640, 50823, 52573, 50824, 52044, 51009, 52177, 52662, 67721, 53640, 53537, 52662, 50823, 52049, 65514, 52205, 55996, 52662, 53925, 53640, 50802, 53029, 51009, 52573, 51009, 52049, 51009, 50445, 53382, 59550, 53640, 57365, 52662, 58268, 52205, 57303, 52662, 58055, 53640, 50803, 51809, 56280, 51009, 52573, 51009, 52662, 51009, 50428, 52242, 57699, 52443, 50802, 52573, 51009, 53029, 51184, 50447, 52205, 52116, 52342, 58268, 52416, 57303, 52044, 58055, 69289, 51601, 52443, 62180, 74920, 52550, 78943, 52443, 57615, 52049, 60066, 52242, 57925, 52443, 50803, 53296, 63721, 51975, 57880, 52044, 62281, 52416, 52284, 53731, 50803, 52573, 50824, 55061, 51009, 53249, 51009, 50447, 52044, 52116, 52416, 53532, 53731, 52163, 66292, 52550, 54934, 73588, 51601, 53640, 50803, 53296, 50802, 50418, 52205, 59236, 73588, 53249, 50802, 55061, 51009, 52573, 51407, 50424, 52205, 56998, 53731, 50803, 53029, 71692, 52416, 56861, 52044, 50802, 52205, 50802, 53249, 50824, 50440, 53731, 61409, 53029, 50993, 52044, 50824, 52205, 51184, 50449, 52550, 62103, 53296, 52163, 53249, 52937, 52895, 50824, 53029, 51352, 50799, 53249, 54024, 53296, 52244, 52550, 52801, 52573, 50803, 52044, 71030, 53334, 58874, 52292, 57476, 52573, 58198, 53334, 50803, 51975, 62104, 52550, 60295, 52573, 59116, 53334, 57891, 52797, 50824, 52573, 51009, 53029, 51352, 50461, 52797, 51352, 52044, 51352, 52205, 51352, 52591, 52049, 52038, 52573, 51009, 50439, 53029, 67067, 52550, 51352, 52740, 51352, 52049, 51184, 51975, 51184, 79254, 52205, 68071, 53296, 50824, 52573, 66395, 53249, 51009, 52550, 51009, 52292, 51009, 53382, 51352, 53069, 51975, 50824, 50431, 52044, 50824, 53029, 57310, 52416, 50824, 53640, 50824, 50457, 52342, 51352, 53571, 51184, 52662, 51184, 55753, 52550, 63721, 52573, 63058, 52740, 50824, 52416, 70216, 52044, 50824, 52292, 51352, 53571, 51184, 52662, 51184, 60212, 51975, 71692, 52797, 78422, 52242, 62148, 52797, 64070, 51975, 50802, 52740, 50824, 50455, 52242, 50802, 50799, 52797, 50802, 52573, 50824, 52205, 51009, 53029, 61912, 52049, 52038, 52242, 50802, 52049, 70245, 52797, 63747, 51975, 50802, 52292, 77189, 52044, 69986, 52416, 50802, 52740, 50824, 52205, 51009, 50458, 51975, 50802, 51809, 52044, 50802, 52573, 50824, 53029, 51184, 52049, 51184, 50423, 51975, 55396, 52797, 50802, 52550, 50824, 52342, 60739, 52242, 71138, 52797, 50802, 52573, 51009, 52044, 51009, 50448, 51975, 73300, 52797, 50802, 53069, 51975, 50824, 55411, 51029, 53029, 51029, 52550, 51029, 52416, 51184, 50432, 52049, 53663, 53296, 53609 ]

[ 0, 250, 3495, 1011, 625, 19, 10, 2842, 9, 3152, 6, 42, 15352, 30054, 657, 2214, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 204, 73, 306, 86, 4, 20, 13305, 8, 2382, 3459, 8669, 185, 5, 483, 6, 2800, 30, 21072, 6, 3459, 9590, 6, 8, 10, 6755, 12547, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 24, 1575, 10, 33215, 16739, 9, 83, 6, 274, 10431, 119, 6, 211, 6, 163, 119, 6, 8, 381, 406, 4, 20, 1619, 12, 2577, 196, 8859, 7630, 6568, 10, 1472, 9, 11098, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 50796, 54852, 51183, 51266, 51492, 73886, 73112, 52045, 56035, 51492, 53278, 50918, 52684, 50918, 55340, 63229, 50968, 65516, 50999, 51141, 50423, 51220, 51631, 50843, 56609, 50968, 53387, 51399, 53505, 50968, 53614, 51114, 51218, 51146, 70002, 51291, 53654, 50918, 54008, 50918, 53679, 50918, 50447, 50902, 51294, 51220, 51241, 57702, 56782, 50856, 53556, 51114, 51458, 50330, 50805, 58470, 51129, 52657, 52015, 50461, 50856, 51004, 54852, 51047, 50856, 50829, 53278, 50918, 52684, 50918, 55340, 63229, 50968, 65516, 50999, 51141, 50423, 51220, 51631, 51468, 50429, 50968, 53387, 51399, 53417, 66007, 50968, 53614, 51114, 51442, 50330, 51364, 67663, 52008, 53654, 50918, 54008, 50918, 53679, 66584, 56296, 54653, 51114, 51097, 58539, 52657, 55118, 50902, 50805, 51220, 73133, 51693, 52646, 62135, 50832, 56663, 54164, 50818, 51817, 57622, 51086, 74572, 50838, 52022, 53920, 51086, 51004, 51114, 51458, 50330, 52201, 51129, 51415, 54421, 51086, 51129, 50902, 57396, 50891, 51019, 50808, 56310, 51244, 51733, 53520, 56089, 53390, 50841, 51011, 52097, 53278, 50918, 52684, 50918, 55340, 63229, 50916, 51003, 57340, 51141, 74199, 50973, 50795, 51544, 54396, 51405, 51306, 50916, 53387, 51405, 51306, 51028, 51370, 55799, 51405, 51306, 50916, 53948, 50891, 51011, 56341, 50989, 51218, 50902, 50983, 51027, 54805, 51539, 50846, 51011, 50962, 53654, 50918, 54008, 50918, 53679, 50918, 64181, 51011, 51274, 50447, 50899, 51294, 50973, 51241, 52320, 51625, 53545, 50856, 54038, 50989, 59353, 50805, 51983, 58470, 73496, 50856, 50928, 56310, 51080, 56089, 53390, 50846, 51069, 51285, 53278, 50918, 52684, 50918, 55340, 63229, 50916, 51003, 57340, 51141, 74199, 50973, 50795, 51544, 51663, 54956, 50916, 73195, 51028, 50911, 51983, 56215, 55567, 51129, 51069, 71150, 51315, 60934, 50989, 79199, 72213, 55147, 53665, 50841, 51019, 51294, 64638, 50918, 52583, 50918, 53654, 50918, 54008, 50918, 50439, 50973, 51077, 50447, 51456, 50829, 51382, 53784, 56353, 51019, 54210, 50999, 50854, 51284, 54806, 50846, 67110, 50459, 50951, 50862, 51182, 50378, 53183, 60634, 51360, 50825, 51027, 50825, 51086, 70883, 65335, 73940, 50846, 50973, 50839, 50968, 50846, 51069, 50884, 51228, 50884, 73112, 50818, 77991, 50818, 52583, 50818, 53278, 50818, 52507, 50818, 54165, 50818, 54008, 50818, 54008, 50818, 56807, 79449, 65287, 51608, 50301, 51623, 51182, 50977, 51206, 53756, 51135, 50846, 50927, 51573, 52583, 51036, 53654, 50918, 52684, 56100, 51114, 50862, 51600, 50862, 51983, 51282, 52536, 50423, 51114, 51692, 51600, 51692, 71241, 59153, 63831, 51161, 50903, 51636, 51083, 51585, 51974, 51539, 50891, 50927, 50895, 51268, 52322, 50916, 50983, 52620, 50846, 50927, 52195, 51089, 51196, 51023, 51356, 53278, 56027, 51027, 51364, 51983, 56279, 60181, 51625, 52349, 50916, 51370, 50891, 56310, 50884, 51086, 50884, 51086, 78228, 50884, 50989, 64890, 78540, 71415, 51077, 51086, 52392, 50989, 51264, 50973, 51264, 52620, 50846, 51205, 52097, 52473, 50893, 51595, 50883, 51083, 50896, 51268, 51274, 51023, 50895, 51208, 50895, 51208, 51356, 56470, 50818, 52583, 50918, 53654, 52045, 52684, 50818, 54008, 50818, 54008, 51036, 51039, 50891, 52473, 51655, 50422, 51220, 51177, 51558, 51177, 51768, 51636, 51083, 51016, 50428, 51399, 50977, 51905, 50977, 51361, 50891, 51268, 50807, 50433, 51146, 50977, 51384, 78885, 51205, 59653, 51399, 50977, 51905, 60592, 51040, 50889, 52620, 50846, 51205, 51031, 51495, 51016, 51208, 51336, 55080, 58627, 51220, 51255, 51558, 51255, 52129, 51833, 50891, 51205, 51294, 51268, 51941, 50450, 51114, 65860, 50914, 51600, 53330, 51625, 50818, 51083, 51016, 51185, 51016, 52583, 58031, 51086, 50891, 50999, 50977, 51284, 59960, 51086, 51004, 51220, 52434, 50303, 50795, 51558, 50977, 51983, 50459, 51086, 51129, 51399, 50942, 51905, 50942, 55435, 72969, 74220, 50846, 51146, 51177, 51040, 68036, 59460, 51608, 50301, 51358, 51384, 51177, 52620, 50846, 51213, 51573, 51495, 51016, 51193, 50884, 51385, 51696, 51023, 51336, 55080, 51036, 53361, 50818, 52684, 56100, 51399, 51183, 51905, 51183, 51983, 52473, 52392, 71241, 73685, 63831, 51161, 50903, 51636, 51495, 51933, 50429, 51405, 58025, 51405, 50362, 51005, 51539, 50891, 51213, 50895, 51268, 63363, 51405, 58930, 50916, 50983, 52620, 50846, 51213, 52195, 51089, 51336, 51023, 51336, 53278, 56027, 50999, 51400, 51027, 50983, 51284, 51400, 59230, 51040, 70504, 51625, 53545, 51220, 51255, 51558, 79100, 50916, 50938, 51983, 50461, 51026, 74359, 72974, 50846, 50916, 69688, 79600, 51351, 51304, 51351, 51815, 51336, 51401, 50884, 51118, 51158, 51083, 50884, 51089, 51013, 51020, 50884, 51092, 50895, 53460, 50918, 52583, 50818, 53278, 50918, 52507, 50818, 55524, 74694, 70156, 51077, 51027, 51036, 52620, 50846, 51069, 52097, 51023, 51364, 52684, 51036, 51039, 50891, 51282, 52536, 56248, 78040, 68691, 51623, 50903, 51636, 51089, 51073, 50429, 51220, 50862, 51558, 54215, 51220, 50977, 51558, 50977, 51983, 51023, 51977, 56215, 50863, 51069, 61808, 51040, 72974, 50846, 50989, 73690, 70882, 50818, 52473, 50884, 51282, 51336, 51268, 50884, 55080, 50818, 52583, 50818, 53654, 52565, 78569, 50900, 55143, 60763, 50918, 51284, 50942, 52620, 50846, 50927, 50949, 51020, 51013, 51092, 51196, 53460, 50918, 52507, 50807, 50443, 50999, 51400, 51284, 51400, 55513, 51189, 58140, 50891, 50927, 71381, 50989, 54881, 51625, 50818, 51268, 51013, 53654, 58031, 51086, 50982, 50927, 57109, 78569, 51284, 58774, 51086, 51258, 51220, 50942, 50877, 50849, 51558, 50942, 51983, 51069, 70891, 51086, 51306, 50460, 51062, 51295, 51304, 51295, 53975, 70790, 64890, 53756, 51135, 50846, 50927, 58410, 50956, 50828, 51086, 79746, 75842, 51048, 50973, 51103, 51205, 50949, 50953, 51573, 52473, 50884, 51401, 50924, 51595, 50948, 51020, 51364, 51208, 51356, 51185, 51196, 51546, 50883, 52583, 51492, 53953, 50818, 52507, 51036, 54008, 50918, 51039, 50891, 51401, 54851, 51086, 70022, 51077, 50861, 51486, 50903, 51636, 51083, 51655, 50430, 51430, 51194, 51733, 77066, 51405, 50362, 51005, 51539, 50891, 50953, 50895, 51020, 51977, 50435, 51405, 58930, 51027, 51442, 50330, 51295, 77736, 51384, 51295, 52620, 66176, 52195, 51023, 51336, 52684, 56027, 51027, 50983, 51983, 56279, 54881, 51625, 52349, 51146, 50977, 51384, 50977, 51983, 54955, 70215, 50828, 51146, 51177, 50899, 78620, 73090, 50918, 51384, 51177, 52620, 66176, 52097, 51020, 50884, 51061, 50895, 51193, 51336, 51020, 51343, 52507, 50818, 52693, 50818, 53361, 50918, 52507, 56100, 51062, 50977, 51304, 50977, 51983, 51401, 51605, 50426, 51062, 51177, 50906, 62525, 51141, 50861, 51538, 51304, 51177, 50903, 51636, 51083, 51933, 50432, 51081, 50942, 51394, 50942, 51983, 51020, 51358, 50435, 50953, 53418, 51081, 50942, 51027, 57543, 50889, 51394, 50942, 52620, 66176, 51031, 51023, 51013, 52684, 58627, 50999, 50862, 51284, 54247, 50999, 61566, 50983, 51284, 55998, 51833, 50891, 50953, 51013, 50449, 80248, 51182, 58332, 50906, 74492, 71884, 75269, 51625, 73938, 51073, 53361, 51048, 50453, 51081, 50901, 51394, 55670, 50906, 50938, 51983, 69078, 50458, 50999, 50854, 51284, 64098, 51027, 72969, 71415, 69498, 50846, 51028, 75715, 61471, 51941, 51069, 50961, 51815, 51060, 51495, 50884, 51083, 51013, 51089, 50983, 51023, 51336, 55080, 50818, 52583, 51036, 53278 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 4246, 10, 13305, 6, 278, 11, 10, 748, 1879, 15525, 204, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 10431, 538, 6, 7630, 14805, 10, 11739, 9, 15352, 30054, 15073, 8, 17878, 9, 11098, 14, 115, 3235, 10, 822, 19834, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 63515, 57061, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 60497, 50800, 51787, 51835, 68631, 51787, 51620, 68631, 51787, 51628, 68631, 51787, 51724, 50931, 65857, 51798, 50931, 72350, 56229, 50800, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 57844, 66107, 52115, 50906, 63627, 51631, 50973, 66107, 51736, 50906, 63627, 51646, 50973, 66107, 51918, 50906, 63627, 51798, 50973, 66107, 51923, 51114, 50795, 51787, 50795, 56229, 50800, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 60497, 50800, 51787, 51835, 68631, 51787, 51620, 68631, 51787, 51628, 68631, 51787, 51724, 50931, 65857, 51798, 50931, 72350, 56229, 50800, 51339, 51835, 57061, 51339, 51628, 51028, 74213, 51918, 51028, 74213, 51923, 51028, 74213, 50795, 60497, 50800, 51787, 51835, 68631, 51787, 51620, 68631, 51787, 51628, 68631, 51787, 51724, 50931, 65857, 51918, 51114, 50795, 51787, 51798, 51147, 50795, 52128, 51923, 51114, 50795, 51787, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 765, 6, 3722, 3495, 13305, 37903, 11, 274, 538, 6, 7630, 14805, 10, 1186, 9, 6711, 29, 31, 11098, 8, 657, 7, 15073, 6, 10686, 13, 304, 11, 822, 6, 19, 10, 881, 21263, 9, 5, 33215, 16739, 274, 6, 1918, 406, 6, 274, 6, 163, 428, 6, 83, 406, 73, 347, 10431, 11, 41, 18186, 112, 73, 306, 86, 6543, 23, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52552, 50631, 50871, 55041, 50871, 50873, 51034, 64384, 60564, 51267, 57019, 55945, 50871, 50901, 51034, 50906, 51159, 60564, 51056, 63451, 58007, 51056, 50444, 51050, 50901, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 63451, 57586, 77484, 51050, 50901, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 55203, 51056, 78016, 71543, 51267, 50931, 51127, 53337, 51267, 55203, 51267, 78016, 71543, 51056, 50931, 51127, 53337, 51267, 57019, 51056, 51001, 51109, 71213, 51183, 50902, 51267, 60718, 51267, 57019, 51267, 50876, 51267, 71213, 51127, 50906, 51267, 60564, 51267, 64574, 51267, 50871, 53999, 50871, 50901, 71543, 51056, 64384, 53337, 51056, 64384, 55203, 51267, 50871, 53999, 50871, 50901, 75424, 51267, 50906, 51159, 56759, 51267, 64384, 63451, 58000, 51056, 50444, 51050, 50901, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 63451, 58000, 75115, 51050, 50873, 75424, 51056, 74576, 56759, 51267, 50902, 51267, 55203, 51056, 78016, 71543, 51056, 50931, 51183, 53337, 51267, 55203, 51267, 50931, 51267, 71543, 51056, 50931, 51183, 53337, 51267, 57019, 51056, 51001, 51267, 71213, 51183, 50902, 51267, 60718, 51267, 57019, 51267, 67384, 71213, 51183, 70338, 60564, 51267, 74482, 50956, 51267, 71543, 51267, 53337, 51267, 50438, 50630, 50900, 51267, 69024, 51267, 50422, 50626, 56759, 51056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 713, 9066, 19834, 2125, 6, 19, 4785, 9, 3495, 6, 1575, 10, 13305, 8, 6755, 12547, 981, 5, 33301, 6, 7513, 30, 30587, 8669, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 83, 538, 19, 10, 7212, 204, 73, 306, 20889, 6, 5, 15229, 7630, 6568, 41, 11653, 8, 3722, 5466, 6, 6683, 14756, 13, 822, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 211, 6, 83, 6, 8, 381, 35315, 1328, 5, 2214, 6, 2351, 10, 1472, 9, 30234, 8, 26545, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 50796, 58066, 51310, 50899, 51159, 50989, 50817, 50989, 66154, 51241, 51881, 53753, 52332, 51141, 52187, 51894, 51857, 55115, 50938, 56440, 50911, 53337, 50884, 70138, 50791, 50938, 50431, 51615, 50918, 58296, 51448, 50861, 51343, 51214, 51183, 50973, 72475, 51300, 51555, 51977, 52123, 51675, 51902, 51591, 50433, 54311, 51407, 51570, 50938, 50443, 51120, 51542, 67964, 52175, 51026, 51060, 50861, 78487, 59132, 50899, 67011, 61630, 52332, 51218, 51656, 51264, 54206, 75286, 65172, 51800, 50294, 51191, 50989, 51735, 51181, 55115, 50938, 56440, 50923, 53337, 54444, 56632, 51040, 52263, 77736, 50916, 67445, 51009, 51279, 51127, 52033, 51148, 53100, 51244, 53444, 52168, 51584, 51358, 52041, 51358, 50433, 51844, 51407, 51570, 60492, 51315, 51218, 50852, 53688, 51027, 63490, 50938, 56672, 61630, 51881, 51894, 50461, 52332, 51115, 54206, 52048, 51324, 68369, 74495, 69732, 50932, 51857, 55115, 50938, 50417, 52187, 51518, 56440, 51173, 53337, 60500, 52744, 50938, 50431, 51615, 51103, 51555, 51977, 58296, 51878, 51214, 51047, 50861, 51364, 50973, 50820, 52123, 51742, 51902, 51452, 50433, 50973, 51300, 54311, 51407, 51570, 50938, 50443, 51120, 51351, 67964, 52610, 51026, 55143, 73262, 59132, 50899, 51310, 50852, 62037, 51881, 58940, 50461, 51656, 53588, 54852, 51191, 50989, 50839, 51120, 51091, 50989, 51072, 52332, 51466, 51181, 74752, 50938, 56440, 50893, 53337, 51370, 50938, 50431, 52033, 54532, 50432, 51040, 51397, 50916, 50846, 67663, 50916, 51870, 51279, 51127, 53100, 52263, 53444, 51447, 51584, 51103, 51844, 51300, 50433, 52041, 51103, 51570, 60492, 51315, 69830, 51027, 51121, 53316, 50938, 54706, 52193, 51844, 59798, 50817, 53206, 50817, 58066, 67232, 74154, 50829, 50989, 50839, 51324, 51141, 50899, 51162, 50989, 66154, 50914, 51881, 51362, 52332, 51059, 52187, 51226, 52294, 51072, 51857, 50976, 51479, 56330, 50825, 78390, 51957, 50976, 62560, 50825, 52111, 58990, 50899, 57630, 51622, 50950, 51181, 59798, 50840, 62560, 50825, 51999, 59277, 51881, 51896, 51615, 52827, 52187, 51685, 50432, 51214, 51103, 50899, 51448, 50973, 51397, 50861, 51472, 52874, 51029, 51479, 56330, 57004, 54311, 51029, 52224, 50825, 51570, 56330, 50825, 52260, 53114, 51479, 56330, 50825, 52283, 57723, 51120, 51101, 52375, 63758, 51026, 59140, 50840, 62560, 50825, 52145, 53217, 50899, 51058, 51857, 50823, 62560, 54026, 51957, 53291, 56834, 51881, 51134, 51656, 51573, 52332, 51054, 54206, 51203, 50989, 51267, 50877, 50807, 51120, 51189, 51479, 56330, 55916, 52294, 51072, 51181, 50860, 51921, 61044, 56330, 58092, 51640, 50865, 52111, 58990, 50899, 53803, 51622, 50930, 51137, 63637, 50840, 62560, 50825, 51999, 59277, 51656, 51896, 52033, 51196, 53100, 51336, 50432, 51040, 51318, 50877, 51413, 51279, 71651, 51103, 51622, 51009, 51349, 51870, 51479, 56330, 50825, 52224, 50825, 51570, 56330, 50825, 52260, 53114, 51315, 50983, 51479, 56330, 50825, 52283, 52743, 51027, 52108, 50840, 62560, 50825, 52145, 53217, 51040, 51589, 56330, 50825, 52215, 56834, 51881, 51364, 52187, 51573, 52332, 51761, 58066, 51056, 50973, 51097, 52294, 50824, 51857, 50976, 51479, 56330, 55916, 50899, 51412, 50989, 51003, 78390, 51957, 50923, 62560, 50825, 52111, 52641, 78231, 51622, 50882, 51533, 50828, 51181, 56905, 50840, 62560, 50825, 77610, 51214, 51148, 50899, 51448, 50861, 51336, 50973, 51183, 51881, 51896, 51615, 52827, 52187, 51977, 52874, 51059, 51479, 56330, 57004, 54311, 51300, 52224, 50825, 51570, 56330, 50825, 52260, 59692, 51120, 59242, 51479, 56330, 50825, 52283, 57723, 52375, 62568, 51026, 54792, 50840, 62560, 50825, 52145, 53217, 69505, 51857, 50823, 62560, 54026, 51957, 55466, 56834, 51881, 51419, 51656, 51541, 52332, 51362, 57126, 58421, 51091, 50899, 51025, 51120, 51189, 52294, 50824, 51479, 56330, 55916, 77064, 51921, 61044, 56330, 58092, 51640, 50860, 52111, 58990, 50899, 61288, 51137, 50976, 58413, 56330, 58245, 51622, 50930, 51999, 59277, 51656, 51896, 52033, 51196, 53100, 51623, 63174, 51134, 51279, 51358, 51040, 51391, 50916, 50889, 51622, 51300, 51349, 51300, 51479, 56330, 50825, 52224, 50825, 51570, 56330, 50825, 52260, 53114, 51479, 56330, 50825, 52283, 52743, 50877, 50991, 51040, 51008, 58413, 56330, 58351, 50916, 50873, 54706, 52100, 53217, 51040, 51008, 51844, 56905, 51239, 56330, 57077, 51622, 57239, 52294, 55466, 56834, 51656, 51167, 51881, 52382, 52332, 51795, 54206, 51091, 50989, 51364, 51120, 51318, 50877, 51343, 51181, 51407, 59284, 50938, 51206, 70623, 53964, 50975, 50421, 51656, 52222, 50422, 52874, 51184, 57025, 53090, 50428, 51838, 51655, 58296, 55362, 51570, 60492, 51120, 57820, 50449, 50989, 51243, 50456, 50877, 52071, 50461, 50902, 51518, 53028, 50938, 51570, 50938, 50461, 50899, 64890, 50895, 51120, 50846, 50989, 50846, 54206, 51162, 50989, 58421, 51364, 51120, 51714, 50791, 50938, 53337, 57648, 50902, 51091, 50433, 50877, 51419, 51570, 50938, 55989, 51400, 50449, 50989, 51212, 60027, 53581, 60501, 50461, 51324, 50918, 54206, 51400, 50989, 60939, 54881, 50938, 53337, 53193, 50877, 65788, 78382, 51233, 50438, 51279, 59770, 60492, 51040, 51775, 59758, 73575, 51040, 62574, 50313, 50917, 54795, 51933, 50791, 61555, 50850, 50893, 50421, 50899, 76349, 50847, 50879, 72513, 52014, 50294, 51077, 50433, 50973, 64306, 51043, 51026, 51291, 50848, 51623, 51570, 50938, 55989, 50987, 56279, 51524, 50861, 73662, 51101, 50455, 74372, 57551, 51551, 50791, 50938, 56440, 51178, 54439, 57356, 50861, 72396, 51363, 50916, 51277, 66240, 51291, 50791, 50938, 50445, 50916, 51852, 56222, 55069, 50916, 51178, 57497, 53241, 50791, 50938, 50421, 50916, 51480, 51125, 51173, 56207, 50978, 64349, 54342, 50868, 51336, 50433, 68575, 50877, 53177, 50317, 51127, 51570, 60492, 50916, 56697, 50916, 51862, 50877, 61327, 50916, 50972, 54868, 51655, 50791, 50938, 54569, 53055, 50425, 50989, 51961, 63174, 61420, 50807, 51570, 60492, 50989, 54058, 50899, 50901, 54795, 51141, 50973, 51388, 50935, 64532, 50938, 55902, 51158, 72579, 53337, 50844, 50848, 67673, 51279, 51358, 50433, 51028, 52530, 50308, 51380, 51125, 51291, 51570, 60492, 50877, 50991, 50451, 50916, 51203, 54868, 51356, 50877, 51345, 50899, 51221, 50989, 51591, 55430, 52140, 51881, 57771, 51656, 51991, 52332, 50360, 50411, 51181, 51352, 59284, 50840, 53337, 73844, 53810, 50902, 51362, 51838, 65680, 51120, 51189, 50903, 51864, 54400, 50899, 51377, 50450, 50989, 69829, 54166, 50899, 50977, 51181, 56795, 51156, 58693, 62146, 51145, 52187, 51627, 58066, 51551, 51857, 51009, 59284, 54507, 50899, 51534, 71241, 67046, 56914, 53810, 51040, 51203, 50916, 51003, 50433, 50877, 51003, 50437, 51656, 51115, 52033, 51419, 59439, 64164, 51279, 51077, 53100, 51477, 51844, 51870, 50903, 51864, 54400, 51040, 51642, 59758, 56022, 61519, 51040, 55735, 59284, 58693, 52187, 51742, 54795, 51161, 50899, 51310, 51615, 51103, 60691, 51692, 54311, 51352, 59284, 64521, 74367, 50973, 51477, 50418, 51881, 53265, 50425, 55430, 72440, 51120, 51103, 50791, 53810, 51026, 51472, 53817, 51115, 50437, 51881, 51534, 55898, 51203, 50903, 51864, 54400, 50861, 50866, 51615, 52063, 50449, 51881, 51328, 56222, 64151, 50810, 50973, 51203, 52187, 78197, 50791, 58045, 51615, 52826, 50455, 50899, 55162, 54311, 55024, 51156, 56249, 52033, 51671, 50460, 56617, 50943, 57551, 51077 ]

[ 0, 713, 8787, 5175, 8, 3495, 15229, 11, 274, 538, 16, 10, 15352, 30054, 8, 20425, 2125, 6, 4246, 10, 13305, 6, 20535, 2810, 6, 6755, 12547, 6, 18558, 6, 8, 3459, 9590, 4, 590, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50796, 53028, 50895, 51544, 51051, 51570, 51365, 54852, 66894, 53819, 50321, 52640, 50309, 51030, 57340, 63835, 67118, 55081, 50877, 63835, 59815, 53548, 50877, 60407, 59815, 53974, 50877, 62282, 70314, 54773, 50877, 60407, 59815, 52510, 50861, 62272, 76640, 75509, 54988, 50871, 64425, 71610, 50858, 50931, 52935, 50871, 50950, 54662, 51379, 51165, 52024, 51107, 52024, 51154, 52024, 51096, 54482, 57639, 50949, 54569, 67431, 69366, 52304, 54392, 51120, 51138, 50927, 55720, 52119, 50899, 67431, 52236, 50314, 51879, 50297, 51021, 50945, 52715, 53813, 51234, 51167, 51096, 54482, 55380, 50899, 67431, 69366, 52304, 53688, 51120, 60589, 52677, 52163, 50899, 67431, 64923, 51804, 50297, 51030, 50945, 52715, 50809, 54662, 51167, 51096, 54482, 51880, 50855, 54569, 67431, 69366, 52304, 52273, 52524, 51120, 51138, 50927, 55720, 51880, 53695, 50899, 52640, 50309, 52236, 50314, 52236, 50297, 50911, 50945, 51331, 56330, 52444, 51234, 51167, 51096, 54482, 59714, 51625, 52210, 50899, 52640, 50309, 69366, 50890, 51782, 55801, 51625, 55354, 51224, 52768, 51120, 51138, 50927, 55720, 54751, 52084, 54139, 51289, 56354, 50899, 52640, 50309, 52640, 50314, 52236, 50297, 50936, 62890, 51782, 53221, 54701, 50836, 54662, 51167, 59212, 50882, 51096, 54482, 64595, 52432, 50899, 76646, 69366, 50890, 59212, 51508, 52329, 51120, 51014, 59212, 50894, 50927, 54886, 52119, 50899, 52640, 50309, 69366, 51879, 50297, 50821, 59212, 50882, 50945, 51052, 53813, 51234, 51235, 59212, 50950, 51096, 55311, 52284, 50899, 67431, 69366, 50887, 59212, 52964, 52555, 51120, 50806, 61592, 51138, 50927, 52677, 52163, 50899, 76646, 52236, 50314, 51879, 50297, 50940, 61615, 50948, 50945, 51805, 50890, 54734, 51460, 59480, 50893, 51113, 52024, 51395, 52024, 50945, 55311, 50823, 53502, 75205, 65982, 60191, 50809, 61592, 75269, 54818, 51279, 51030, 51011, 55720, 52119, 50956, 50884, 50900, 71610, 62060, 50859, 51085, 50936, 61592, 52512, 50964, 52715, 52444, 51247, 51354, 50945, 54482, 52284, 50900, 52640, 50307, 76646, 61768, 52304, 52741, 51279, 50923, 51011, 52677, 52163, 50900, 52640, 50307, 65982, 60191, 50809, 51085, 50893, 50964, 51331, 50800, 54734, 51354, 65619, 50930, 50945, 54482, 52244, 50900, 52640, 50307, 67431, 61768, 50887, 65619, 52153, 54392, 51279, 51021, 65619, 50858, 51011, 55720, 52119, 50900, 52640, 50307, 76646, 61768, 50809, 51085, 50936, 65619, 50821, 50964, 51331, 55395, 51247, 51354, 65619, 50882, 50945, 54482, 52284, 50900, 52640, 50307, 67431, 61768, 50887, 65619, 56832, 55268, 51279, 51021, 59212, 50936, 51011, 52677, 52163, 50900, 52640, 50307, 76646, 61768, 51804, 50292, 50948, 61592, 50806, 50964, 52715, 65175, 51107, 52024, 51165, 52024, 54662, 51160, 61615, 52282, 51096, 55311, 52244, 50899, 67431, 52640, 50314, 52207, 55447, 51120, 50923, 50927, 52677, 52119, 50899, 76646, 52236, 50314, 51879, 50297, 68052, 51331, 56341, 51234, 51379, 51096, 54482, 52940, 50899, 67431, 69366, 51864, 54755, 51120, 51021, 50927, 55720, 54178, 50899, 67431, 52640, 50314, 52236, 50297, 50936, 50945, 51331, 50880, 54662, 51167, 71078, 50858, 51096, 54482, 50823, 54569, 67431, 52236, 50314, 50890, 71078, 51508, 52329, 51120, 50923, 71078, 50882, 50927, 52677, 54179, 50899, 67431, 52236, 50314, 52640, 50297, 50806, 71078, 50821, 50945, 51331, 53813, 51234, 51160, 71078, 50859, 51375, 51446, 51096, 55311, 52284, 50899, 76646, 52640, 50314, 50930, 71078, 52153, 55268, 51120, 50923, 65619, 50882, 50927, 52677, 52163, 50899, 76646, 52640, 50314, 52236, 50297, 50921, 59212, 50894, 50945, 51805, 50884, 55881, 51460, 65619, 50823, 51088, 51991, 51395, 51991, 51105, 55311, 52244, 50956, 61473, 69366, 50809, 71078, 63576, 53516, 51026, 50948, 50953, 55720, 54179, 50956, 61473, 69366, 76361, 50893, 65210, 51235, 51186, 51331, 55395, 51197, 50975, 51105, 54482, 52284, 50956, 72115, 52640, 50314, 50887, 65210, 54196, 54411, 51026, 50924, 71078, 50821, 50953, 55720, 54178, 50956, 72115, 52236, 50314, 51804, 50302, 50893, 65619, 50821, 51186, 51331, 50890, 54662, 51235, 59212, 50882, 51107, 51446, 51154, 52024, 51096, 55311, 52244, 50899, 67431, 69366, 50890, 59212, 55043, 54392, 51120, 51030, 65619, 51033, 50927, 55720, 54684, 50899, 67431, 52236, 50314, 51879, 50297, 50921, 59212, 51021, 50945, 51805, 59653, 51113, 51077, 51093, 61086, 51247, 51500, 61592, 51033, 50945, 57759, 52284, 50900, 76646, 71610, 50887, 65619, 55968, 53595, 51279, 50923, 59212, 50936, 51011, 52677, 54178, 50900, 52640, 50307, 67431, 61768, 51804, 50292, 50940, 61592, 51033, 50964, 52715, 64961, 51107, 52024, 54662, 51175, 61615, 51285, 51165, 52024, 51096, 54482, 50823, 54569, 67431, 52640, 50314, 52207, 52329, 51120, 50806, 50927, 52677, 54179, 50899, 67431, 52640, 50314, 51879, 50297, 50865, 50945, 52715, 52565, 51234, 50991, 51096, 55311, 52284, 50899, 67431, 69366, 50890, 61615, 54444, 54755, 51120, 50911, 59212, 50893, 50927, 52677, 54178, 50899, 67431, 52236, 50314, 51879, 50297, 50893, 71078, 51016, 50945, 51331, 50887, 54662, 51235, 52123, 50880, 51783, 50887, 51722, 50887, 51096, 55311, 55267, 50855, 54569, 76646, 64923, 50890, 61615, 50948, 51783, 50809, 52123, 50880, 51722, 51421, 52329, 51120, 50923, 59212, 50806, 51722, 50809, 52123, 50890, 51783, 73117, 52677, 54179, 50899, 67431, 69366, 51879, 50297, 50948, 71078, 50896, 52123, 50890, 51783, 50887, 51722, 74564, 52715, 54957, 51234, 51235, 51783, 50887, 51722, 50887, 52123, 50880, 51096, 55311, 52284, 50899, 67431, 69366, 50890, 61615, 50911, 51783, 50890, 51722, 50890, 52123, 52633, 52555, 51120, 50923, 59212, 51033, 51783, 50887, 52123, 50880, 51722, 50890, 50927, 52677, 54178, 50899, 76646, 52236, 50314, 52236, 50297, 50858, 71078, 52195, 52123, 50882, 51783, 50859, 51722, 50887, 50945, 51052, 50887, 54197, 51427, 52123, 51745, 51783, 51226, 51584, 51226, 51567, 51541, 51113, 51077, 50945, 55311, 58197, 51722, 53227, 50899, 67431, 70463, 52207, 54392, 51120, 51021, 50927, 55720, 54179, 50899, 76646, 71610, 51879, 50297, 50923, 50686, 50326, 52097, 52123, 51285, 51555, 51291, 51612, 51472, 51722, 52195, 50945, 51331, 54459, 51026, 50980, 51088, 51446, 51165, 51264, 50953, 57759, 52940, 50899, 72115, 52640, 50314, 52304, 54411, 51120, 50923, 50927, 52677, 54178, 50899, 61473, 52640, 50314, 51804, 50292, 50940, 71078, 51237, 51612, 51566, 50964, 51805, 50890, 54662, 51160, 51154, 52024, 51096, 55311, 52244, 50899, 67431, 52236, 50314, 50890, 65619, 50923, 51567, 55110, 54818, 51120, 50923, 59212, 51030, 51722, 50882, 50927, 52677, 52119, 50899, 76646, 52640, 50314, 51879, 50297, 50940, 65619, 50936, 51567, 50890, 50945, 52715, 62256, 51113, 51077, 51093, 61086, 51247, 51460, 59212, 51033, 51722, 50821, 50945, 55311, 52284, 50900, 52640, 50307, 76646, 60191, 50809, 61592, 50975, 51584, 58101, 54411, 51279, 50923, 51011, 52677, 52163, 50871, 50846, 50900, 75205, 61768, 51731, 50292, 50948, 61615, 52195, 52123, 51977, 51722, 51896, 50964, 52715, 62959, 51165, 52024, 51107, 52024, 54662, 51175, 51096, 54482, 52244, 50899, 67431, 52236, 50314, 51864, 54818, 51120, 50923, 50927, 52677, 52119, 50899, 65982, 64923, 51879, 50297, 50893, 50945, 51331, 55395, 51234, 51175, 51096, 54482, 50860, 55989, 67431, 52236, 50314, 50890, 61615, 52964, 55510, 51120 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 19834, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 132, 73, 306, 86, 6543, 4, 20, 2214, 34, 10, 2933, 648, 1372, 16464, 6, 10686, 13, 822, 6, 8, 3136, 23, 41, 12447, 1001, 20889, 9, 12730, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 8, 272, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50630, 51050, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 51057, 50951, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50931, 50896, 53337, 52686, 50951, 50806, 64690, 50821, 50999, 53765, 51026, 50821, 51146, 52309, 51339, 50806, 51057, 51430, 52236, 50294, 53113, 51430, 52247, 51146, 52236, 50299, 52686, 51146, 50806, 51057, 51062, 51285, 75040, 53113, 50931, 50880, 53645, 52686, 50931, 50880, 75040, 53113, 50931, 56299, 50931, 50880, 53645, 52686, 50931, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 53939, 51026, 52686, 50999, 50880, 75040, 53113, 50951, 50880, 53645, 52686, 50951, 50880, 75040, 53113, 50951, 56299, 50951, 53939, 51120, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 51285, 50999, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 51057, 50931, 51285, 50999, 51285, 51062, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 51057, 50951, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50931, 50896, 53337, 52686, 50951, 50806, 64690, 50821, 50999, 53765, 51026, 50821, 51146, 52309, 51339, 50806, 51057, 51430, 52236, 50294, 53113, 51430, 52247, 51146, 52236, 50299, 52686, 51146, 50806, 51057, 51062, 51285, 75040, 53113, 50931, 50880, 53645, 52686, 50931, 50880, 75040, 53113, 50931, 56299, 50931, 50880, 53645, 52686, 50931, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 53939, 51026, 52686, 50999, 50880, 75040, 53113, 50951, 50880, 53645, 52686, 50951, 50880, 75040, 53113, 50951, 56299, 50951, 53939, 51120, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 51285, 50999, 51285, 51057, 51062, 56868, 51081, 64664, 50951, 50883, 50999, 56092, 50931, 62740, 50968, 63267, 50876, 50883, 50902, 50883, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 67870, 53113, 50999, 53939, 51026, 52686, 50999, 50880, 51057, 50931, 51285, 50999, 51285, 51062, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 51057, 50951, 51285, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 50880, 53523, 52686, 50999, 50880, 63188, 53113, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50951, 56299, 50951, 53939, 50861, 52686, 50951, 50880, 63188, 53113, 50931, 50896, 53337, 52686, 50951, 50806, 64690, 50821, 50999, 53765, 51026, 50821, 51146, 52309, 51339, 50806, 51057, 51430, 52236, 50294, 53113, 51430, 52247, 51146, 52236, 50299, 52686, 51146, 50806, 51057, 51062, 51285, 75040, 53113, 50931, 50880, 53645, 52686, 50931, 50880, 75040, 53113, 50931, 56299, 50931, 50880, 53645, 52686, 50931, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 50999, 50880, 67870, 53113, 50999, 56299, 50999, 53939, 51026, 52686, 50999, 50880, 75040, 53113, 50951, 50880, 53645, 52686, 50951, 50880, 75040, 53113, 50951, 56299, 50951, 53939, 51120, 52686, 50951, 50880, 67870, 53113, 50999, 50880, 53523, 52686, 51062, 50880, 50269, 50786, 50414, 51050, 51285, 50999, 51285, 51062, 51285, 51339, 51285, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 278, 11, 10, 7212, 204, 73, 306, 86, 6543, 8, 3744, 15, 13305, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 538, 8, 1575, 10, 33215, 13931, 9, 230, 406, 6, 274, 6, 211, 119, 6, 230, 406, 6, 8, 1918, 406, 4, 590, 10, 13428, 9, 24543, 2397, 6, 24, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 20425, 7, 19448, 8, 1372, 6, 442, 24, 10686, 13, 304, 11, 822, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 50796, 50796, 50461, 51247, 51717, 50871, 51043, 54852, 51337, 50900, 51423, 50956, 68684, 50956, 51174, 50423, 50861, 50904, 53645, 63100, 54181, 50861, 69179, 70237, 50862, 54197, 70250, 50899, 51194, 71869, 50871, 51212, 50997, 51330, 64309, 52921, 50871, 63100, 65450, 50899, 53040, 61700, 50439, 50899, 50854, 73249, 51601, 50900, 61582, 64442, 50942, 50416, 51050, 56554, 50956, 53803, 57002, 50427, 51001, 59909, 51001, 59772, 53894, 61233, 50902, 62236, 67666, 78933, 52846, 50876, 64514, 67164, 50956, 51129, 55694, 75198, 50978, 65882, 53049, 72733, 50871, 61895, 50959, 57267, 64912, 51008, 50451, 50899, 60263, 50925, 51086, 66878, 50987, 51809, 50956, 51177, 76518, 50877, 51177, 51050, 50959, 50900, 51645, 50423, 50861, 50904, 73343, 63100, 50833, 50956, 62293, 50956, 73045, 51682, 50301, 70570, 50871, 51111, 50900, 51124, 50458, 62007, 54197, 51309, 65882, 59537, 57069, 51458, 50302, 51233, 64309, 50904, 53645, 76869, 61895, 62391, 54181, 78679, 58893, 74654, 51601, 68452, 50416, 50900, 51682, 50297, 71674, 50878, 50427, 60742, 51001, 57181, 51001, 60951, 54077, 61673, 61233, 50446, 50902, 54276, 50876, 64608, 73119, 50956, 51258, 54197, 52168, 72421, 65882, 51047, 50899, 51244, 51601, 51050, 50362, 50410, 50416, 50861, 51244, 51001, 51058, 50425, 50902, 50987, 59409, 50972, 50440, 51247, 51884, 50956, 61211, 50441, 50877, 59960, 75973, 51809, 51234, 63532, 74850, 51542, 50899, 54228, 58319, 51212, 69332, 51177, 51176, 56123, 50440, 50899, 51542, 50441, 51324, 51400, 50454, 67666, 51601, 51085, 55584, 50997, 51737, 50416, 51001, 61434, 51542, 50956, 63667, 50424, 74952, 50431, 72917, 50439, 51085, 58483, 51247, 55778, 50877, 51419, 50440, 50956, 54228, 50454, 50876, 51753, 54662, 60237, 50902, 52015, 50877, 52256, 50421, 51050, 58468, 78414, 52059, 50436, 50861, 53280, 50437, 50900, 50359, 50397, 50452, 60158, 50461, 51085, 52460, 55435, 54298, 51001, 50978, 74354, 51542, 50956, 74478, 50423, 50902, 70258, 50876, 51337, 50437, 51247, 53096, 50439, 51085, 53161, 75473, 50956, 51381, 50455, 50876, 53010, 51601, 51120, 67852, 50900, 58483, 50877, 51679, 50416, 50931, 51109, 50431, 50902, 64938, 50871, 57826, 50439, 51214, 63532, 50440, 50906, 51419, 51120, 60326, 50861, 50995, 50454, 50871, 64833, 50899, 50904, 54955, 54344, 51085, 56123, 50415, 50916, 52256, 50861, 51480, 50997, 56374, 50422, 50877, 51642, 50430, 50906, 55666, 51247, 55197, 50877, 51423, 50956, 51679, 50439, 51085, 64399, 50447, 50861, 51642, 51027, 52482, 50454, 50871, 52431, 54662, 70316, 50906, 63160, 50899, 52212, 50997, 66924, 51050, 66924, 50440, 51050, 78878, 59856, 57923, 57682, 69355, 51085, 50932, 50422, 50902, 52921, 50876, 51312, 50956, 51797, 50433, 51085, 59948, 51247, 51419, 64574, 51412, 50877, 59881, 50956, 62614, 50943, 50458, 51247, 50839, 54578, 51807, 50278, 51391, 50899, 60326, 53337, 51568, 50290, 50891, 50861, 62089, 50871, 55965, 54637, 51679, 50445, 51086, 68469, 54086, 51324, 64853, 51214, 72680, 78693, 51085, 50915, 57923, 55143, 51097, 50421, 50956, 66031, 51214, 50932, 50428, 50876, 56789, 64144, 79471, 52192, 50433, 70178, 50437, 50877, 51191, 50956, 51178, 51247, 51097, 50449, 52206, 51109, 60040, 50956, 62659, 53492, 51466, 55331, 60598, 51241, 50871, 60324, 50931, 51218, 51234, 64938, 51050, 51097, 65281, 59783, 51233, 50438, 51234, 51419, 50446, 50902, 51253, 75552, 50877, 51738, 64057, 50982, 51050, 63917, 51214, 63105, 74166, 57923, 51124, 50861, 51295, 52206, 51477, 50421, 50956, 51108, 50425, 50902, 53466, 51085, 52927, 51214, 67592, 70178, 50437, 50956, 51121, 50877, 71442, 51247, 50943, 50449, 55123, 54323, 60437, 50956, 67557, 51247, 60870, 51799, 51267, 50877, 51191, 50931, 51175, 59412, 51279, 51466, 60718, 63307, 51194, 63808, 51448, 50861, 51218, 51214, 52441, 50449, 51026, 62223, 50871, 62309, 50899, 50863, 54594, 51043, 50916, 51255, 52206, 51109, 50421, 73822, 66345, 51481, 50900, 51277, 50425, 51085, 57903, 50906, 58628, 59948, 51247, 51961, 50956, 51115, 60496, 50901, 67655, 51178, 51027, 75926, 51085, 67827, 50871, 51397, 71910, 51677, 79281, 50899, 51807, 50302, 51645, 56759, 51128, 57019, 51682, 50302, 79836, 50839, 54852, 58520, 51121, 50900, 51400, 51085, 58115, 50861, 55797, 50956, 52514, 50426, 51247, 74265, 62821, 59844, 61868, 51050, 65335, 51581, 50301, 53018, 50956, 61495, 51247, 53938, 50871, 67159, 74884, 58222, 54578, 51212, 50877, 51194, 50899, 51177, 51234, 52666, 50302, 52011, 50421, 50861, 53881, 51247, 50874, 50877, 66229, 59948, 50861, 54431, 68070, 50899, 51604, 50297, 65673, 51247, 50955, 54197, 51267, 50871, 73456, 50874, 50956, 50977, 50425, 51247, 54335, 57002, 51001, 60093, 51001, 59383, 50877, 51258, 50436, 51214, 51328, 50437, 50902, 52841, 50877, 54207, 50902, 62955, 50876, 57669, 51177, 51279, 51806, 50457, 50956, 59546, 51234, 51412, 50871, 51056, 55694, 51337, 79143, 57911, 50897, 53337, 50987, 50437, 50861, 54773, 70537, 53492, 54276, 50965, 51962, 50279, 50959, 51086, 50878, 50899, 61980, 50942, 51324, 79076, 50956, 51255, 50877, 51194, 53997, 53130, 50301, 51242, 50871, 51043, 50421, 58219, 50425, 51050, 62847, 53548, 61133, 50956, 59948, 51247, 54077, 50861, 51100, 50956, 64860, 51027, 51609, 50297, 50878, 54852, 61566, 51178, 51234, 51051, 80237, 50997, 50981, 64309, 54325, 51050, 60951, 67504, 61360, 51247, 50822, 50861, 54181, 50899, 50854, 50997, 70936, 51050, 50942, 53997, 50933, 68452, 50900, 52386, 50307, 57629, 51050, 51481, 65473, 60742, 50433, 51001, 62055, 59701, 64062, 51214, 79670, 54840, 71363, 50449, 51279, 51400, 50876, 58800, 71978, 50956, 52611, 50461, 69429, 50871, 51689, 50290, 51210, 59412, 69540, 51247, 61868, 50906, 66867, 52434, 50278, 50866, 54734, 52140, 70647, 70330, 50956, 51824, 50422, 50902, 50901, 50430, 50876, 54123, 51050, 55776, 50956, 51283, 78201, 51121, 75312, 51233, 54662, 54521, 70836, 50899, 51419, 79580, 51100, 50436, 51176, 51330, 50437, 51324, 58134, 51255, 55898, 51391, 50453, 50902, 57023, 50956, 51627, 50460, 50861, 51295, 50997, 52460, 51085, 52056, 50461, 51001, 50905, 56020, 50902, 51470, 50429, 79844, 50437, 51247, 53957, 51085, 53957, 60496, 51134, 50956, 54211, 50453, 75023, 50460, 51234, 52528, 50902, 51422, 50461, 50877, 51419, 52591, 51050, 52783, 50427, 73249, 50428, 73306, 50437, 50861, 51637, 50900, 50359, 50398, 50452, 67666, 51601, 51085, 53697, 51001, 50959, 50416, 50997, 55789, 50861, 51419, 50417, 50956, 53577, 50423, 50902, 50977, 50431, 50876, 73320, 51247, 51466, 78201, 65227, 52019, 50292, 52618, 50451, 50876, 51253, 58359, 51148, 50877, 51542, 50415, 50931, 51003, 78740, 60012, 50871, 57826, 63808, 51391, 80235, 51214, 77092, 50454, 50871, 63152, 50899, 50886, 55524, 51318, 50861, 51377, 52206, 51419, 50422, 79378, 50430, 51085, 51318, 50906, 57514, 50877, 51423, 50956, 51775, 50438, 51247, 51576, 67655, 51121, 51027, 51277, 50453, 50871, 51677, 50460, 51234, 55586, 50461, 50899, 51244, 50906, 51244, 51050, 54829, 50997, 56308, 50796, 50449, 50902, 64098, 51085, 66985, 50833, 54594, 50925, 50421, 71363, 50422, 50956, 55656, 79844, 51214, 51709, 50437, 80239, 64574, 51542, 51247, 54980, 52206, 51709, 50457, 50861, 50978, 54578, 51619, 50278, 51477, 63715, 51412, 54439, 64458, 51247, 54927, 51086, 50878 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 11, 230, 10431, 3694, 6, 4246, 10, 33215, 16739, 9, 1918, 1176, 406, 6, 230, 10431, 119, 6, 8, 163, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 16, 686, 7, 120, 47, 1375, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 73984, 51378, 64404, 59625, 56036, 77821, 51492, 51040, 51492, 50989, 51492, 50877, 75361, 51966, 52296, 51378, 64404, 59625, 56036, 51631, 51966, 51628, 51378, 64404, 59625, 56036, 53505, 51966, 52831, 51378, 64404, 59625, 56036, 51918, 51966, 51757, 73984, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51378, 64404, 59625, 56036, 50795, 62368, 51835, 73984, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51378, 64404, 59625, 56036, 53505, 51966, 51724, 51378, 64404, 59625, 56036, 51918, 51966, 52513, 51378, 64404, 59625, 56036, 51798, 51966, 51754, 73984, 51378, 64404, 59625, 56036, 54093, 73984, 62368, 50800, 51378, 64404, 59625, 56036, 77821, 51492, 51040, 51492, 50989, 51492, 50877, 75361, 51966, 52296, 51378, 64404, 59625, 56036, 51631, 51966, 51628, 51378, 64404, 59625, 56036, 53505, 51966, 52831, 51378, 64404, 59625, 56036, 51918, 51966, 51757, 73984, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51378, 64404, 59625, 56036, 50795, 62368, 51835, 73984, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51378, 64404, 59625, 56036, 53505, 51966, 51724, 51378, 64404, 59625, 56036, 51918, 51966, 52513, 51378, 64404, 59625, 56036, 51798, 51966, 51754, 73984, 51378, 64404, 59625, 56036, 54093, 73984, 58066, 75008, 56931, 59625, 56036, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 68631, 51086, 56931, 59625, 56036, 51631, 51324, 52765, 51220, 51628, 51086, 56931, 59625, 56036, 53505, 51324, 79594, 52831, 51086, 56931, 59625, 56036, 51918, 51324, 50800, 51147, 51757, 51324, 50800, 68631, 51086, 56931, 59625, 56036, 51923, 51324, 52567, 51324, 61441, 59625, 56036, 57981, 50795, 54868, 61441, 51036, 50989, 51036, 50877, 51036, 51028, 56100, 51120, 61441, 59625, 56036, 57981, 53471, 51114, 51620, 51120, 52765, 51220, 61441, 59625, 56036, 57981, 53505, 51120, 79594, 51724, 50899, 59625, 56036, 57981, 51918, 51120, 50800, 51147, 52513, 50899, 59625, 56036, 57981, 51798, 51120, 50800, 51114, 51754, 51120, 61441, 59625, 56036, 57981, 54093, 51120, 50800, 62368, 50800, 51378, 64404, 59625, 56036, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 56100, 51966, 52296, 68631, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51220, 51628, 51378, 64404, 59625, 56036, 53505, 73984, 50999, 52831, 51378, 64404, 59625, 56036, 51918, 73984, 51147, 51757, 73984, 68631, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51315, 68339, 57341, 56962, 50795, 60963, 50800, 51315, 51036, 51086, 51036, 50916, 51036, 50965, 56100, 70861, 51315, 68339, 57341, 56962, 53471, 51114, 51620, 51841, 52765, 73578, 51315, 68339, 57341, 56962, 53505, 70861, 50999, 51724, 51315, 68339, 57341, 56962, 51918, 70861, 51147, 52513, 51315, 68339, 57341, 56962, 51798, 70861, 51114, 51754, 70861, 51315, 68339, 57341, 56962, 54093, 70861, 58066, 75008, 56931, 59625, 56036, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 68631, 51086, 56931, 59625, 56036, 51631, 51324, 52765, 51220, 51628, 51086, 56931, 59625, 56036, 53505, 51324, 79594, 52831, 51086, 56931, 59625, 56036, 51918, 51324, 50800, 51147, 51757, 51324, 50800, 68631, 51086, 56931, 59625, 56036, 51923, 51324, 52567, 51324, 61441, 59625, 56036, 57981, 50795, 54868, 61441, 51036, 50989, 51036, 50877, 51036, 51028, 56100, 51120, 61441, 59625, 56036, 57981, 53471, 51114, 51620, 51120, 52765, 51220, 61441, 59625, 56036, 57981, 53505, 51120, 79594, 51724, 50899, 59625, 56036, 57981, 51918, 51120, 50800, 51147, 52513, 50899, 59625, 56036, 57981, 51798, 51120, 50800, 51114, 51754, 51120, 61441, 59625, 56036, 57981, 54093, 51120, 50800, 62368, 50800, 51378, 64404, 59625, 56036, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 56100, 51966, 52296, 68631, 51378, 64404, 59625, 56036, 51631, 51966, 52765, 51220, 51628, 51378, 64404, 59625, 56036, 53505, 73984, 50999, 52831, 51378, 64404, 59625, 56036, 51918, 73984, 51147, 51757, 73984, 68631, 51378, 64404, 59625, 56036, 51923, 51966, 52567, 73984, 51315, 57341, 56962, 56190, 50795, 60963, 50800, 51315, 51036, 50916, 51036, 50965, 51036, 50973, 56100, 70861, 51315, 57341, 56962, 56190, 53471, 51114, 51620, 51841, 52765, 73578, 51315, 57341, 56962, 56190, 53505, 70861, 50999, 51724, 51315, 57341, 56962, 56190, 51918, 70861, 51147, 52513, 51315, 57341, 56962, 56190, 51798, 70861, 51114, 51754, 70861, 51315, 57341, 56962, 56190, 54093, 70861, 60497, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 57289, 56931, 51036, 50989, 51036, 50877, 51036, 51028, 61899, 50968, 53505, 50968, 54789, 51147, 53658, 50999, 51923, 50999, 50795, 60497, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 62856, 77531, 51036, 51086, 51036, 50916, 51036, 50965, 61899, 51147, 53505, 51147, 54789, 51220, 53658, 51399, 51923, 51430, 50795, 60497, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 57289, 56931, 51036, 50989, 51036, 50877, 51036, 51028, 61899, 50968, 53505, 50968, 54789, 51147, 53658, 50999, 51923, 50999, 50795, 60497, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 61899, 51114, 53505, 51114, 54789, 51220, 53658, 51399, 51923, 51399, 50795, 58479, 77531, 51036, 50916, 51036, 50965, 51036, 50973, 61899, 50999, 53505, 51430, 54789, 51399, 53658, 51430, 51923, 51787, 50795, 58066, 75008, 56931, 59625, 56036, 61907, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 51086, 56931, 59625, 56036, 51631, 51324, 50800, 51114, 51736, 51086, 56931, 59625, 56036, 53505, 51324, 50800, 51114, 54789, 51086, 56931, 59625, 56036, 66107, 51918, 51324, 52513, 51399, 51798, 51324, 75008, 56931, 59625, 56036, 51923, 51324, 50800, 51399, 54093, 51324, 61441, 59625, 56036, 57981, 50795, 54868, 50800, 50968, 56931, 51036, 50989, 51036, 50877, 51036, 51028, 56100, 51120, 61441, 59625, 56036, 57981, 51631, 51120, 50800, 50968, 54253, 50899, 59625, 56036, 57981, 53505, 51120, 50800, 50968, 51646, 50899, 59625, 56036, 57981, 54789, 51147, 51918, 51120, 52513, 50899, 59625, 56036, 57981, 57883, 51798, 51120, 51754, 51120, 61441, 59625, 56036, 57981, 57883, 54093, 51120, 50800, 62368, 50800, 51378, 64404, 59625, 56036, 61907, 77821, 51036, 51040, 51036, 50989, 51036, 50877, 56100, 51966, 52296, 51378, 64404, 59625, 56036, 51631, 73984, 51114, 51736, 51378, 64404, 59625, 56036, 53505, 73984, 51114, 54789, 51378, 64404, 59625, 56036, 66107, 51918, 51966, 52513, 51399, 51798, 73984, 51378, 64404, 59625, 56036, 51923, 73984, 51399, 54093, 73984, 51315, 68339, 57341, 56962, 50795, 60963, 50800, 51147, 77531, 51036, 51086, 51036, 50916, 51036, 50965, 56100, 70861, 51315, 68339, 57341, 56962, 51631, 70861, 51147, 54253, 51315, 68339, 57341, 56962, 53505, 70861, 51147, 51646, 51315, 68339, 57341, 56962, 54789, 51220, 51918, 51841, 52513, 51315, 68339, 57341, 56962, 74213, 51798, 51841, 51754, 70861, 51315, 68339, 57341, 56962, 65799, 54093, 70861, 58066, 75008, 56931, 59625, 56036, 61907, 68339, 51036, 50899, 51036, 50989, 51036, 50877, 56100, 51324, 52296, 51086, 56931, 59625, 56036, 51631, 51324, 50800, 51114, 51736 ]

[ 0, 713, 14899, 3495, 3152, 8859, 22750, 1626, 11098, 8, 1007, 6, 1969, 13, 2365, 50, 33558, 9629, 4, 590, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 5, 13305, 3315, 5, 33301, 6, 2800, 30, 5, 6878, 20535, 2810, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 42, 765, 2214, 1575, 10, 33215, 16739, 9, 272, 6, 3676, 6, 1918, 6, 8, 211, 119, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 57428, 51172, 56222, 55162, 61825, 54578, 63422, 51458, 50287, 50995, 51443, 50915, 61240, 50959, 51206, 50839, 53158, 52917, 67558, 59755, 77627, 53110, 52667, 50871, 50808, 51026, 52019, 50287, 51381, 51443, 51562, 50433, 50798, 54049, 53116, 50856, 52875, 50871, 51654, 64684, 50856, 53083, 51026, 55591, 58974, 50856, 53173, 66457, 51443, 59260, 50820, 54578, 50812, 62419, 51085, 51097, 50964, 51542, 50927, 56162, 52816, 52871, 50856, 52870, 50871, 58204, 54792, 59190, 52209, 51085, 68996, 60386, 56500, 57201, 50964, 50983, 57019, 51255, 79724, 72476, 52129, 56500, 53533, 51085, 50874, 50861, 51238, 50816, 58974, 50856, 53173, 50856, 58544, 50964, 50822, 54578, 50800, 51247, 78145, 57829, 50945, 59084, 50833, 53158, 52639, 50900, 51412, 50871, 51221, 50877, 51412, 50816, 59953, 50856, 53230, 51247, 51679, 50433, 50945, 51562, 50856, 53871, 53894, 50856, 53044, 50900, 51363, 50871, 51116, 50877, 51412, 50445, 74274, 53533, 51247, 69305, 50816, 55768, 52738, 50900, 68826, 50945, 50364, 51024, 50846, 51601, 52855, 52526, 65597, 50964, 54657, 51085, 50874, 62972, 61022, 50861, 56485, 64729, 52306, 50835, 54409, 50904, 51776, 62488, 50964, 53383, 51085, 50827, 75716, 64385, 50861, 61185, 63135, 50964, 50857, 51776, 50864, 52306, 50867, 54409, 53998, 51085, 50912, 74094, 64410, 59663, 51776, 50864, 54409, 50864, 52306, 53831, 59093, 50964, 52781, 51085, 50827, 50964, 50836, 51776, 50813, 54409, 50836, 52306, 53228, 54815, 51085, 50851, 75475, 64385, 64444, 50964, 50855, 51776, 50867, 52306, 50855, 54409, 77794, 61587, 50964, 52800, 51085, 50851, 75475, 70088, 62007, 54409, 50809, 52306, 50887, 51776, 50862, 52991, 71191, 72091, 54409, 50940, 51224, 52920, 51085, 50827, 60906, 65200, 60192, 50964, 50867, 51776, 50940, 52306, 50950, 52991, 50825, 54852, 51962, 50285, 52845, 50297, 50995, 50945, 51003, 51206, 56583, 53049, 50877, 61858, 62530, 51255, 79725, 62579, 53644, 50876, 51073, 51247, 52256, 51050, 51419, 50945, 51218, 50433, 50798, 52675, 59901, 52261, 55513, 60540, 56876, 67031, 50877, 57394, 53340, 56385, 51050, 70792, 50964, 54384, 52153, 53685, 60906, 67977, 57472, 50457, 50964, 50867, 52112, 50458, 50945, 50891, 54868, 51003, 74354, 51218, 50927, 58249, 51420, 61553, 51718, 50963, 52976, 50899, 60241, 70866, 71491, 50887, 62579, 53644, 51120, 60733, 50871, 50901, 50927, 59554, 50855, 52574, 50963, 52904, 51120, 69641, 52093, 57428, 50910, 50899, 60236, 57669, 56777, 62426, 50927, 51373, 54357, 52772, 51120, 50854, 61700, 51011, 56949, 52153, 56086, 50843, 54038, 60501, 50871, 50808, 62804, 56756, 50927, 50867, 52093, 55694, 51116, 51214, 50915, 50953, 51241, 76935, 54796, 62503, 51340, 50963, 63026, 50816, 52675, 53516, 50906, 74156, 58263, 58204, 58376, 64161, 50798, 53340, 53230, 51214, 50907, 51026, 50874, 50906, 51400, 50953, 51141, 50437, 70658, 51214, 52104, 50299, 50974, 50443, 50861, 66646, 53340, 53806, 50899, 57864, 58801, 50845, 74004, 53409, 51026, 50892, 50927, 55591, 67230, 52093, 50456, 69308, 60569, 68573, 68459, 53997, 50995, 50964, 51351, 76935, 62833, 50871, 79158, 57987, 50916, 51358, 50425, 50816, 52329, 50900, 60817, 58532, 56901, 54357, 53670, 51085, 53970, 53340, 57201, 50964, 51189, 62275, 50974, 52261, 55513, 64233, 57094, 54035, 51750, 52396, 51085, 56758, 72860, 51019, 53065, 54357, 54038, 50900, 50822, 67597, 50861, 51589, 57735, 51019, 50810, 54960, 50859, 51279, 52845, 50301, 51108, 51011, 50995, 58005, 50415, 58471, 51039, 52992, 50876, 72891, 65480, 60015, 50995, 55610, 53230, 51279, 50907, 68719, 50876, 51073, 51011, 62343, 52873, 53418, 51279, 52216, 50301, 51079, 51340, 50963, 53858, 50900, 64233, 58800, 53284, 58500, 68485, 76400, 50873, 51019, 53111, 54473, 62267, 52112, 72407, 50874, 64001, 57472, 51011, 50810, 54868, 50995, 50927, 55859, 53662, 54796, 55916, 79269, 51039, 57550, 50816, 50887, 53337, 59782, 57543, 56901, 61749, 50877, 52658, 51120, 54784, 52938, 52942, 59118, 50871, 50977, 76786, 50437, 51782, 50963, 52904, 51120, 50905, 50443, 50791, 53675, 50871, 63891, 58520, 56036, 50892, 70943, 50449, 50861, 51589, 53711, 51120, 50874, 51011, 54384, 61519, 50877, 53199, 53685, 60501, 50871, 50800, 62804, 50927, 59854, 50791, 50884, 55694, 51267, 51214, 50915, 50953, 68539, 72294, 50791, 62518, 50816, 52304, 53516, 50877, 67954, 63925, 60597, 57421, 51214, 50907, 65113, 50861, 51400, 50953, 60194, 54749, 61169, 62246, 51026, 51644, 50287, 51645, 50443, 50791, 55933, 50899, 51203, 50861, 51255, 50906, 51203, 50871, 51112, 50449, 50927, 53938, 51026, 52808, 53412, 59310, 50953, 54424, 60501, 61700, 50906, 54225, 57430, 50861, 51346, 50461, 51713, 50955, 52366, 50897, 52991, 50987, 53997, 51097, 50964, 51204, 50791, 54162, 64540, 62239, 51713, 51177, 52366, 51060, 52991, 51178, 53523, 65480, 58532, 57691, 52675, 54151, 51085, 53156, 68487, 50964, 51446, 58471, 50437, 51776, 51446, 52306, 51472, 54409, 51291, 50438, 59755, 51085, 50974, 50439, 52261, 50444, 56756, 50900, 61432, 57094, 61366, 59084, 62885, 50791, 54755, 51085, 55591, 54663, 50900, 50854, 61205, 75105, 56437, 50964, 54384, 50884, 53206, 50930, 54960, 51116, 51279, 52026, 50301, 50995, 51011, 56001, 50942, 51206, 51031, 50421, 51762, 56207, 67843, 65480, 60015, 72260, 59485, 50791, 54151, 51279, 50912, 51027, 50810, 51011, 62343, 62089, 50876, 51896, 50791, 53418, 51279, 50984, 51027, 74578, 52105, 55513, 59487, 56036, 57685, 53340, 61576, 51019, 54185, 51027, 54384, 51049, 63318, 51011, 52863, 50900, 50822, 64001, 79944, 57810, 52261, 50461, 50927, 51241, 54868, 56901, 53690, 50812, 50416, 50871, 51346, 51039, 52905, 50871, 51238, 50899, 60015, 51003, 53659, 56999, 50871, 57066, 51120, 54923, 62089, 50927, 77392, 54968, 51120, 50822, 50861, 51377, 50439, 52093, 55989, 57934, 58696, 55732, 64522, 50450, 51120, 59035, 51377, 51011, 55897, 51049, 53563, 50899, 59844, 50859, 56756, 50927, 51559, 50828, 54795, 51534, 50906, 51346, 50953, 51204, 50791, 54749, 50859, 51039, 59824, 65997, 50816, 53425, 59285, 50899, 59292, 54042, 56499, 51026, 53513, 51214, 50984, 50871, 73717, 53330, 57201, 50953, 51218, 62322, 50822, 51214, 50838, 52093, 50443, 50791, 53885, 50899, 57864, 58801, 55998, 54185, 51026, 78659, 53065, 53412, 51754, 69308, 56437, 66768, 50953, 51373, 53902, 51085, 51097, 55694, 68152, 51241, 51776, 50867, 52366, 50836, 52991, 51559, 54162, 59078, 62518, 50816, 50887, 53523, 51255, 68575, 50861, 51255, 50906, 50807, 51776, 51043, 52991, 51178, 52366, 51111, 52306, 51833, 52975, 51085, 50912, 50964, 63732, 51559, 61808, 51776, 50971, 52366, 53945, 51085, 51589, 56068, 50877, 50805, 50443, 51776, 62067, 54840, 50900, 59487, 55143, 52808, 65266, 50861, 50892, 50449, 50816, 54596, 51085, 50822, 50953, 51373, 60715, 52112, 72407, 50874, 65200, 57660, 50871, 54484, 50964, 59854, 50791, 55146, 50808, 54734, 50995, 50945, 51351, 51683, 52151, 51713, 52071, 52002, 51313, 50419, 52112, 50425, 50816, 52207, 50949, 53523, 59844, 70866, 57421, 51247, 53156, 54749, 54845, 60002, 50945, 71161, 51247, 50827, 52112, 50443, 50798, 55489, 50900, 59198, 58696, 52839, 53711, 51247, 55897, 52207, 55021, 57136, 50964, 75635, 50791, 52349, 60906, 74166, 57810, 50964, 56834, 73606, 54734, 51022, 51050, 50907, 50900, 51123, 50877, 50370 ]

[ 0, 250, 1144, 26016, 3495, 2214, 14, 22750, 1626, 11098, 8, 657, 149, 63, 11653, 34879, 4, 590, 10, 20889, 9, 3337, 13410, 228, 2289, 6, 24, 11498, 10, 16634, 178, 5285, 2877, 11, 204, 73, 306, 86, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 3459, 9590, 6, 3152, 6757, 6, 8, 258, 2382, 8, 30587, 3459, 29589, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 83, 401, 6, 381, 406, 6, 8, 83, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 50446, 51622, 61208, 53964, 51354, 50458, 52375, 51014, 58359, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 52874, 51388, 63596, 55146, 51134, 52653, 51335, 52096, 50418, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 52874, 52097, 63596, 52374, 57818, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51014, 51545, 51014, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 51191, 52653, 50430, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 78137, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51213, 51014, 51482, 51014, 51545, 51014, 51617, 50962, 51982, 50962, 54488, 55146, 62017, 50438, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 63596, 55146, 51397, 52653, 50442, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50446, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 52874, 51014, 63596, 52374, 58248, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51415, 51014, 51482, 51014, 51545, 51014, 52874, 51354, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 51191, 52653, 50454, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 75183, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51545, 51014, 51622, 51014, 51617, 50962, 51982, 50962, 54488, 52374, 50959, 58359, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 53964, 52311, 63596, 55146, 51134, 52653, 50418, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51014, 51265, 51014, 63596, 52374, 57818, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51014, 51545, 51014, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50430, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 78137, 51799, 50830, 50999, 51014, 51146, 51014, 51787, 51014, 51213, 51014, 51482, 51014, 51545, 51014, 51617, 50962, 51982, 50962, 54488, 55146, 62017, 50438, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 63596, 55146, 51397, 52653, 50442, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50446, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51265, 51014, 52874, 51014, 63596, 52374, 58248, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51415, 51014, 51482, 51014, 51545, 51014, 52874, 51354, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 51191, 52653, 50454, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 75183, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 51014, 51545, 51014, 52874, 51014, 51617, 50962, 51982, 50962, 54488, 52374, 50959, 54795, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50953, 51014, 51368, 51014, 51195, 51014, 52874, 51354, 57969, 55146, 51134, 52653, 50418, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50422, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50953, 51014, 51368, 51014, 51195, 51014, 52375, 51527, 57969, 52374, 57818, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51186, 51014, 51368, 51014, 51350, 51014, 53706, 50962, 55943, 50962, 64138, 50962, 52333, 50962, 51982, 50962, 52836, 56106, 51191, 52653, 50430, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 78137, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51415, 51014, 51368, 51045, 51350, 51045, 52333, 50962, 51982, 50962, 52836, 55146, 62017, 50438, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51271, 51014, 51368, 51045, 51195, 51045, 57969, 55146, 51397, 52653, 50442, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 50446, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51271, 51014, 51368, 51045, 51195, 51045, 52874, 51014, 57969, 52374, 58248, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51817, 51014, 51368, 51045, 51350, 51045, 52874, 51354, 53706, 50962, 55943, 50962, 64138, 50962, 52333, 50962, 51982, 50962, 52836, 56106, 50914, 52653, 50454, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 75183, 51214, 50952, 51220, 51014, 51146, 51014, 51487, 51014, 51271, 51014, 51368, 51045, 51350, 51045, 52341, 51014, 52333, 50962, 51982, 50962, 52836, 52374, 50959, 58359, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 51622, 52311, 63596, 55146, 51134, 52653, 50418, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 63596, 52374, 57818, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51045, 51545, 51045, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50430, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 78137, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51213, 51014, 51482, 50823, 51545, 50823, 51617, 50962, 51982, 50962, 54488, 55146, 62017, 50438, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 50823, 51265, 50823, 63596, 55146, 51397, 52653, 50442, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50446, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 50823, 51265, 50823, 51622, 51014, 63596, 52374, 58248, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51415, 51014, 51482, 50823, 51545, 50823, 53964, 51388, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50454, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 75183, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 51011, 51014, 51482, 50823, 51545, 50823, 52375, 51014, 51617, 50962, 51982, 50962, 54488, 52374, 50959, 58359, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 52874, 51354, 63596, 55146, 51134, 52653, 50418, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50422, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 68318, 51482, 51045, 51265, 51045, 52874, 52097, 63596, 52374, 57818, 51799, 50952, 50999, 51014, 51146, 51014, 51787, 51014, 50945, 51014, 51482, 51045, 51545, 51045, 52110, 50962, 55943, 50962, 57873, 50962, 51617, 50962, 51982, 50962, 54488, 56106, 50914, 52653, 50430, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 50434, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 51213, 51045, 51482, 50823, 51545, 50823, 51617, 51010, 51982, 51010, 54488, 55719, 62017, 50438, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 51011, 51045, 51482, 50823, 51265, 50823, 63596, 55719, 51134, 52653, 50442, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 50446, 51799, 50952, 50999, 51045, 51146, 51045, 51787, 51045, 51011, 51045, 51482, 50823, 51265, 50823, 52874, 51045, 63596, 51010, 52653, 50450 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 6755, 12547, 6, 4401, 757, 3178, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 70, 567, 561, 7, 1045, 10, 32625, 3618, 13569, 9862, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 6717, 50, 190, 10, 1619, 2749, 6, 19, 5, 2125, 25451, 11, 5, 762, 9, 230, 538, 23, 10, 182, 1769, 20889, 9, 22871, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50642, 50903, 76660, 51003, 50461, 51119, 51010, 51144, 51010, 51656, 51551, 60859, 50932, 51768, 51003, 50437, 51429, 50930, 52187, 51148, 59015, 50932, 51099, 50930, 51955, 59827, 51119, 51717, 51153, 52250, 50458, 51198, 52644, 51280, 53454, 51144, 55068, 51708, 53082, 53447, 51226, 52506, 51177, 51711, 53753, 51881, 52096, 52133, 52121, 51743, 51801, 53389, 52337, 61890, 57821, 50810, 51544, 71648, 51181, 50921, 52095, 51163, 52729, 50804, 51420, 50974, 67746, 51008, 52320, 51328, 50458, 51181, 58582, 51008, 51755, 59249, 50791, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51349, 53877, 50812, 57080, 70799, 52279, 54796, 65756, 50791, 61094, 51416, 55236, 54626, 51349, 51194, 50843, 52304, 51277, 50458, 52799, 51163, 50878, 53447, 51141, 54524, 70561, 50874, 51144, 52598, 50416, 51708, 54829, 50419, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51181, 50952, 53550, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 57268, 57821, 74651, 52033, 51244, 52187, 51313, 53053, 50991, 54524, 51429, 51029, 51099, 51274, 53541, 51244, 51615, 51313, 70561, 50874, 51869, 50873, 51232, 51121, 50419, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 52599, 51137, 54780, 54796, 50805, 52040, 67166, 51232, 62885, 50791, 61094, 51844, 58332, 51137, 59964, 52304, 51277, 50457, 51198, 53002, 51280, 52570, 51144, 52250, 51708, 52024, 57268, 57821, 74651, 51743, 52829, 51881, 52337, 52133, 52121, 53447, 51226, 54524, 53389, 51801, 70561, 76687, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 51181, 58630, 52841, 50804, 54796, 66326, 50668, 50341, 50882, 50440, 61961, 52122, 50445, 50791, 52848, 50843, 52304, 51277, 50458, 51181, 58582, 50878, 51755, 59249, 50791, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51349, 50844, 57080, 70799, 52279, 54796, 65756, 50791, 61094, 51416, 53484, 51349, 51194, 50843, 52304, 51277, 57268, 57821, 65264, 51708, 50873, 53447, 51091, 54524, 52036, 56515, 51656, 57820, 51711, 53233, 70561, 50874, 51280, 51255, 50419, 50843, 60171, 50801, 57162, 55266, 51198, 52483, 50843, 77554, 51144, 60952, 50791, 59979, 51181, 53703, 52841, 51181, 61711, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 50457, 55288, 50896, 50458, 51181, 63798, 50878, 53447, 50991, 54524, 54379, 51162, 70561, 50874, 51144, 50962, 51119, 76249, 50843, 50862, 55429, 50844, 54775, 52524, 50843, 50897, 52789, 50955, 64821, 52599, 51181, 51356, 50804, 54796, 50805, 52187, 51446, 50439, 51099, 50880, 51429, 51010, 53541, 51095, 51615, 51127, 52033, 51363, 50445, 50791, 52848, 50843, 52304, 51277, 50458, 51684, 61468, 57821, 50878, 51119, 52149, 51153, 51492, 50459, 51198, 53520, 51144, 52250, 51280, 53520, 51708, 52122, 50461, 51881, 52096, 53447, 51226, 54524, 51743, 51801, 52133, 52250, 70561, 76687, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 51181, 58630, 52841, 50804, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 50458, 51181, 58582, 50878, 51755, 59249, 50791, 50874, 50416, 60018, 50810, 52789, 51801, 50418, 55288, 56235, 50419, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51349, 50844, 57080, 70799, 52279, 54796, 65756, 50791, 61094, 51416, 53484, 51349, 51194, 50843, 52304, 51277, 57268, 57821, 50878, 53447, 51290, 54524, 51711, 51939, 51656, 55490, 52036, 52335, 53389, 52431, 70561, 50874, 51153, 50806, 51144, 51003, 51435, 50795, 51119, 77352, 51708, 50981, 50419, 50843, 50862, 55429, 55266, 77134, 51435, 50942, 51119, 52710, 50843, 50897, 64821, 52599, 50804, 54796, 65756, 50791, 52848, 50843, 52304, 51277, 50458, 51844, 54020, 57821, 74651, 53541, 51518, 73331, 52187, 51445, 52033, 51662, 54379, 51603, 52789, 51238, 53053, 50918, 54524, 70561, 76687, 50843, 63630, 54775, 51051, 55429, 53450, 50843, 50897, 52789, 64662, 50791, 61055, 51429, 56341, 51137, 60114, 54796, 50805, 51099, 50880, 52040, 50930, 51232, 65804, 50791, 52848, 50843, 52304, 51277, 50457, 51119, 52024, 51153, 53002, 51435, 51492, 57268, 57821, 50878, 51198, 51492, 51144, 51717, 51280, 51492, 51708, 52250, 50459, 52789, 51058, 54775, 50987, 50461, 51881, 51717, 53447, 51364, 54524, 52133, 51717, 51743, 51801, 53389, 52121, 70561, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51684, 53287, 52841, 50804, 54796, 65756, 50791, 50812, 56041, 54626, 50843, 52304, 51277, 50458, 51181, 52423, 55638, 50878, 57958, 51192, 54524, 70561, 76687, 50843, 60171, 50801, 57162, 55266, 52789, 52580, 50843, 50897, 54775, 50866, 64821, 59979, 51181, 50910, 54524, 54585, 64850, 52279, 54796, 66326, 54775, 50807, 50445, 50791, 61094, 51181, 51757, 51416, 59434, 52304, 51277, 50451, 52789, 51254, 50458, 51684, 54692, 50878, 50460, 54379, 51097, 53447, 51091, 54524, 70561, 76687, 50843, 50862, 55429, 50844, 54775, 53450, 50843, 75027, 52789, 51051, 64821, 59979, 51181, 53841, 52841, 50804, 54796, 65756, 50791, 50812, 56041, 54626, 50843, 52304, 51277, 50458, 51349, 53345, 55638, 65264, 51198, 60880, 51280, 50820, 53447, 50911, 54524, 51144, 65108, 50791, 50874, 51119, 51010, 50419, 50843, 60171, 51181, 53097, 57162, 53450, 50843, 50897, 64821, 59979, 57713, 51022, 53550, 55309, 66326, 51099, 50930, 51429, 51010, 55258, 51022, 50445, 50791, 50812, 53526, 53567, 50843, 53988, 51373, 51277, 55350, 51022, 50457, 51119, 52149, 51153, 51492, 51435, 52024, 50458, 51844, 52764, 55638, 50878, 51280, 51492, 51198, 51492, 51144, 55068, 51708, 52250, 50460, 51743, 54270, 50461, 51881, 52829, 52133, 52720, 51711, 52204, 52036, 53201, 51656, 52829, 53447, 51091, 54524, 70561, 76687, 50843, 50862, 55429, 53450, 50843, 50897, 64821, 59979, 51181, 65582, 53824, 50880, 53550, 54796, 50805, 52150, 59070, 50791, 52848, 50843, 52304, 51277, 50458, 51349, 53345, 57821, 50878, 50460, 53824, 50857, 53447, 50911, 54524, 52150, 69171, 50791, 76687, 50843, 60171, 51181, 53097, 57162, 53450, 50843, 50897, 64821, 50808, 55481, 52841, 51068, 52279, 54796, 66326, 51940, 50915, 50443, 52150, 65079, 50791, 52848, 50843, 52304, 51277, 50451, 52106, 51157, 50458, 51844, 54692, 50878, 50460, 51144, 51662, 51280, 52071, 51198, 52151, 50461, 51119, 51592, 53447, 51141, 54524, 70561, 50874, 51940, 51077, 50419, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 51181, 61468, 52841, 50804, 54796, 50805, 50440, 52106, 50915, 50445, 50791, 52848, 50843, 52304, 51277, 50452, 52150, 51294, 68674, 50878, 53053, 50991, 54524, 52789, 52222, 60018, 50910, 70561, 50874, 51232, 51115, 51869, 51141, 51429, 51059, 50416, 51099, 51364, 55288, 51148, 50419, 50843, 60171, 50801, 57162, 53450, 50843, 50897, 64821, 59979, 54524, 50436, 52187, 51703, 51615, 51447, 50437, 53541, 52782, 54379, 51419, 53550, 54796, 50805, 52033, 51432, 50440, 51099, 50811, 52040, 68491, 51232, 61189, 50791, 52848, 50843, 52304, 51277, 54775, 51203, 50458, 51137, 56230, 50878, 51153, 52024, 51435, 52250, 51144, 52337, 52789, 73316, 51198, 52122, 51280, 52122, 51708, 51717, 50461, 51743, 52337, 53389, 51801, 52133, 51717, 51881, 52121, 53447, 51091, 54524, 70561, 76687, 50843, 50862, 55429, 68521, 51478, 50910, 55057, 50897, 64821, 59979, 51181, 55381, 51181, 61711, 54796, 50805, 52106, 51090, 50445, 50791, 52848, 50843, 52304, 51277, 51940, 51058, 50458 ]

[ 0, 250, 765, 8, 4045, 3495, 2214, 59, 657, 6, 4246, 10, 5540, 13305, 816, 10, 19448, 33301, 11, 12608, 538, 4, 20, 2125, 11498, 10, 7212, 20889, 8, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 272, 119, 6, 230, 119, 6, 1918, 6, 272, 119, 406, 6, 8, 274, 119, 14, 3639, 3722, 5581, 7, 5, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 52785, 58879, 51964, 52062, 50426, 51280, 51330, 51561, 51330, 51099, 50995, 50437, 51280, 51328, 50438, 51144, 51108, 50439, 51512, 51253, 50444, 51706, 77069, 51144, 51330, 51512, 51330, 51153, 50995, 50460, 52176, 51423, 50461, 51280, 51637, 57211, 51144, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51639, 53581, 51777, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 51869, 56391, 51706, 50838, 51639, 52985, 51561, 50932, 51777, 53581, 51153, 50838, 69296, 50886, 53038, 50974, 50415, 51777, 51637, 50420, 51876, 52688, 51706, 55665, 51561, 54498, 54733, 53624, 52746, 50838, 51153, 52985, 52477, 51097, 51308, 56711, 51512, 50905, 50799, 51512, 50862, 56686, 74023, 51308, 78377, 53646, 53770, 53483, 57547, 51561, 56692, 53483, 64632, 51512, 54058, 51308, 54509, 56686, 50838, 51153, 50974, 62871, 58879, 51964, 52062, 50426, 51280, 51330, 51561, 51330, 51099, 50995, 50437, 51280, 51328, 50438, 51144, 51108, 50439, 51512, 51253, 50444, 51706, 77069, 51144, 51330, 51512, 51330, 51153, 50995, 50460, 52176, 51423, 50461, 51280, 51637, 62673, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51516, 53581, 52381, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 53038, 56391, 51876, 50838, 51777, 52985, 51706, 50932, 51639, 53581, 51435, 50838, 50799, 51777, 50886, 54733, 50974, 50415, 51639, 51637, 50420, 52746, 52688, 52477, 55665, 51561, 54498, 54733, 53624, 51308, 50864, 52746, 67446, 51153, 64533, 52477, 50932, 51308, 53581, 51512, 50838, 50799, 56686, 51753, 51847, 52783, 51561, 51671, 51494, 51939, 50420, 53646, 55752, 53483, 57524, 51706, 55659, 51847, 77494, 51494, 52136, 50450, 51308, 59435, 51777, 51074, 55746, 51280, 52011, 51561, 52011, 51099, 65184, 51280, 51333, 51144, 51333, 51512, 59124, 51280, 51199, 51144, 51199, 51153, 51312, 50460, 52176, 51797, 50461, 51280, 52519, 57211, 51144, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51639, 53581, 51777, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 51869, 56391, 51706, 50838, 51639, 52985, 51561, 50932, 51777, 53581, 51153, 50838, 69296, 50886, 53038, 50974, 50415, 51777, 51637, 50420, 51876, 52688, 51706, 55665, 51561, 54498, 54733, 53624, 52746, 50838, 51153, 52985, 52477, 51097, 51308, 56711, 51512, 50905, 50799, 51512, 50862, 56686, 74023, 51308, 78377, 53646, 53770, 53483, 57547, 51561, 56692, 53483, 64632, 51512, 54058, 51308, 54509, 56686, 50838, 51153, 50974, 62871, 58879, 51964, 52062, 50426, 51280, 51330, 51561, 51330, 51099, 50995, 50437, 51280, 51328, 50438, 51144, 51108, 50439, 51512, 51253, 50444, 51706, 77069, 51144, 51330, 51512, 51330, 51153, 50995, 50460, 52176, 51423, 50461, 51280, 51637, 62673, 51637, 50415, 51119, 51637, 50416, 51435, 51391, 50420, 51708, 52688, 51198, 51592, 50432, 51119, 50932, 50443, 51119, 51753, 50444, 51435, 56697, 51516, 53581, 52381, 50838, 58637, 50974, 51280, 51637, 51099, 51637, 51308, 51637, 51639, 79311, 51869, 52688, 51280, 55665, 51099, 51330, 51308, 57937, 53038, 56391, 51876, 50838, 51777, 52985, 51706, 50932, 51639, 53581, 51435, 50838, 50799, 51777, 50886, 54733, 50974, 50415, 51639, 51637, 50420, 52746, 52688, 52477, 55665, 51561, 54498, 54733, 53624, 51308, 50864, 52746, 67446, 51153, 64533, 52477, 50932, 51308, 53581, 51512, 50838, 50799, 56686, 51753, 51847, 52783, 51561, 51671, 51494, 51939, 50420, 53646, 55752, 53483, 57524, 51706, 55659, 51847, 77494, 51494, 52136, 50450, 51308, 59435, 51777, 51074, 55746, 51280, 52011, 51561, 52011, 51099, 65184, 51280, 51333, 51144, 51333, 51512, 59124, 51280, 51199, 51144, 51199, 51153, 51312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15855, 8, 3495, 11739, 6, 42, 2214, 1575, 10, 13305, 8, 24896, 4279, 594, 6, 7630, 14805, 10, 25306, 8, 19448, 5466, 4, 8504, 11, 230, 538, 19, 10, 7212, 204, 73, 306, 20889, 6, 5, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 272, 6, 230, 6, 8, 274, 4, 20, 15229, 18, 5933, 2386, 13, 10, 17758, 6942, 9, 63, 1372, 8, 8728, 12049, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 80054, 51247, 78494, 60268, 51218, 50876, 51218, 57025, 66953, 60367, 57648, 50906, 59374, 53264, 51027, 63682, 60138, 60268, 60559, 51003, 74968, 78494, 60268, 51047, 50931, 51047, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 60268, 73273, 51003, 51034, 52206, 51741, 50292, 59055, 51218, 50968, 51218, 53523, 72272, 57648, 50877, 62244, 53264, 50900, 68184, 59055, 62163, 79327, 51003, 74968, 78494, 60268, 51422, 50931, 51422, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 50981, 68792, 75440, 62163, 51218, 50902, 51218, 56759, 67119, 60367, 57648, 50906, 69791, 53264, 50906, 60946, 51514, 50302, 61849, 60138, 59242, 50902, 62244, 50845, 74968, 78494, 60268, 51047, 68275, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 60268, 73273, 51003, 51034, 52206, 51741, 50292, 59055, 51218, 50968, 51218, 56947, 66953, 72272, 57648, 50871, 59374, 53264, 51026, 63682, 68184, 59055, 73093, 51003, 74968, 51662, 51050, 51662, 50877, 51422, 50931, 51422, 51034, 51643, 51141, 51247, 51662, 51050, 51662, 53523, 59782, 60598, 60307, 51633, 56282, 51643, 51159, 50900, 59782, 60598, 51003, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 60307, 51993, 60592, 52372, 51159, 50900, 65480, 58657, 51003, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51993, 51103, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 56509, 51633, 74543, 59782, 64292, 60510, 51993, 50917, 51034, 51643, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 56509, 52113, 69214, 59782, 60598, 60510, 51993, 50977, 50449, 52113, 50836, 51034, 52372, 51183, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 51003, 55203, 65480, 58657, 51003, 51034, 51643, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 50437, 52113, 53574, 51633, 52434, 50304, 59782, 60598, 60510, 51643, 50917, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 64292, 60307, 51993, 60592, 52372, 51159, 50900, 65480, 58657, 64292, 51003, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51633, 51218, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 60307, 51643, 79271, 51633, 52781, 51993, 51312, 50899, 59782, 64292, 51003, 51034, 51643, 51734, 50285, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 64292, 60307, 51633, 60592, 52113, 51159, 50900, 65480, 58657, 64292, 51003, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 52113, 51141, 52206, 51939, 51085, 51939, 53502, 51101, 56248, 62118, 51993, 68668, 68535, 52372, 51159, 67032, 55513, 50987, 51034, 52372, 51608, 50280, 51939, 51085, 51939, 53502, 67175, 52113, 72456, 51101, 58319, 68535, 52113, 51159, 67032, 55513, 50987, 51034, 51993, 51103, 51247, 51939, 51050, 51939, 53502, 51101, 53645, 62118, 50877, 68535, 53128, 70651, 51101, 55513, 50987, 51034, 53128, 51103, 51050, 51662, 51247, 51662, 53502, 51101, 53645, 62118, 50877, 68535, 51993, 51267, 76329, 55513, 50987, 51034, 52113, 51141, 52206, 51939, 51085, 51939, 53502, 51101, 56248, 62118, 51993, 68995, 68535, 52372, 51159, 67032, 55513, 50987, 51034, 52372, 51103, 52206, 51939, 51085, 51939, 53502, 51101, 56248, 62118, 50906, 68535, 51993, 72456, 72438, 52113, 73456, 50987, 51034, 52113, 50812, 51214, 51939, 51026, 51939, 50861, 51422, 50973, 51422, 50899, 51422, 50417, 51633, 52871, 51643, 54080, 51633, 52710, 52372, 51295, 50444, 52135, 50917, 51034, 51643, 51103, 52206, 51244, 51085, 51244, 50916, 51145, 50861, 51145, 50876, 51145, 51034, 51643, 51103, 51247, 51662, 51050, 51662, 53523, 59782, 60598, 51003, 50437, 52113, 53574, 51633, 52434, 50304, 59782, 60598, 60510, 51643, 50917, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 56509, 51993, 73456, 59782, 60598, 60510, 51993, 50917, 51034, 52113, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 60307, 51993, 60592, 52372, 51159, 50900, 65480, 58657, 51003, 51034, 51993, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51633, 50983, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 60307, 51643, 57581, 51633, 65758, 59782, 64292, 51003, 50441, 51993, 51110, 51034, 51643, 51077, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51993, 74824, 59782, 60598, 60510, 51993, 50938, 51034, 52113, 51608, 50280, 51939, 51085, 51939, 50425, 51993, 53548, 52113, 62530, 65480, 58657, 64292, 60307, 51633, 56282, 52113, 51048, 50900, 65480, 58657, 64292, 51003, 51034, 51993, 51446, 51247, 51749, 51050, 51749, 50900, 51397, 50871, 51397, 50877, 51397, 68792, 75440, 63129, 51115, 50906, 51115, 56759, 67119, 60367, 57648, 50876, 57069, 51101, 66836, 61026, 51101, 50997, 61849, 60138, 59242, 50902, 76376, 50987, 74968, 78494, 60268, 51047, 68275, 57025, 66953, 60367, 56656, 51027, 63682, 60138, 60268, 79442, 50995, 51034, 52206, 51741, 50292, 59055, 51477, 50968, 51477, 56947, 77502, 66953, 72272, 57648, 50871, 57777, 52718, 51026, 75440, 63682, 68184, 59055, 74827, 51108, 64688, 61817, 52528, 50931, 52528, 50426, 51247, 51749, 51034, 51431, 51141, 51247, 51662, 51050, 51662, 53523, 59782, 60598, 60307, 51485, 56282, 51431, 51159, 50900, 59782, 60598, 51003, 51034, 51509, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51509, 73456, 59782, 60598, 60510, 51509, 50917, 51034, 51744, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 60307, 51509, 60592, 51579, 51159, 50900, 65480, 58657, 51003, 51034, 51509, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51509, 51103, 51234, 51939, 50997, 51939, 53337, 59782, 64292, 56509, 51485, 74543, 59782, 64292, 60510, 51509, 50917, 51034, 51431, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51509, 73456, 59782, 60598, 60510, 51509, 50917, 51034, 51509, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 56509, 51744, 69214, 59782, 60598, 60510, 51509, 50977, 50449, 51744, 50836, 51034, 51579, 51183, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 51003, 55203, 65480, 58657, 51003, 51034, 51431, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 51003, 50437, 51744, 53574, 51485, 52434, 50304, 59782, 60598, 60510, 51431, 50917, 51034, 51509, 51103, 51247, 51939, 51050, 51939, 53523, 59782, 60598, 56509, 51509, 73456, 59782, 60598, 60510, 51509, 50917, 51034, 51744, 51189, 52206, 51939, 51085, 51939, 53523, 65480, 58657, 64292, 60307, 51509, 60592, 51579, 51159, 50900, 65480, 58657, 64292, 51003, 51034, 51509, 51103, 51050, 51662, 51247, 51662, 53523, 59782, 60598, 51003, 55203, 59782, 60598, 51003, 51034, 51485, 51218 ]

[ 0, 250, 15855, 30062, 620, 7085, 2125, 6, 42, 765, 15229, 16, 17407, 30, 63, 25306, 2821, 16235, 4, 590, 10, 6755, 12547, 6, 32909, 6, 1893, 43639, 6, 1515, 21305, 6, 8, 15679, 642, 1543, 6, 24, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 5386, 814, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 10, 20902, 27841, 139, 20889, 6, 24, 1575, 10, 33215, 13931, 9, 2060, 401, 6, 12608, 6, 230, 119, 6, 12608, 6, 8, 211, 119, 406, 428, 245, 73, 347, 6, 1271, 7, 63, 6878, 2574, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50639, 51375, 50930, 51629, 50811, 53623, 50803, 52316, 50803, 51431, 50841, 52264, 50930, 66452, 50800, 55515, 54472, 53213, 51431, 50884, 51641, 58092, 51093, 50811, 51395, 50811, 54542, 54069, 51641, 60892, 51093, 51010, 51395, 50811, 54542, 50857, 51431, 67726, 52481, 51973, 51093, 50811, 51629, 50811, 77978, 51431, 50818, 52264, 50811, 50707, 50295, 50823, 53121, 58860, 53862, 50813, 57436, 67691, 51335, 52119, 51395, 50811, 51394, 50811, 51641, 51031, 52336, 59093, 54542, 50829, 55111, 61360, 53623, 50803, 52316, 50803, 52264, 50817, 52629, 50811, 66452, 50823, 55515, 60364, 51629, 50811, 51304, 60869, 55111, 50822, 54542, 50971, 51641, 50817, 52336, 60159, 51395, 50930, 51394, 59788, 53121, 78574, 77978, 78724, 51431, 50887, 52264, 50811, 50707, 50295, 59177, 53798, 51093, 50962, 51629, 50811, 57436, 50813, 53862, 64833, 51641, 50930, 52336, 55577, 51394, 50811, 51395, 50803, 54542, 50813, 55111, 63849, 66452, 62181, 53623, 50803, 52316, 50803, 52264, 50811, 52629, 50811, 55515, 50894, 50799, 51629, 50811, 51304, 58197, 54922, 50880, 57436, 58242, 51335, 57615, 78724, 51431, 50887, 50707, 50295, 50803, 52264, 50803, 53121, 52968, 51093, 50962, 51629, 50811, 77978, 57436, 50822, 53862, 59380, 66452, 50803, 51431, 51551, 52264, 51009, 55515, 52952, 52316, 75889, 51300, 51629, 51009, 50439, 53623, 50803, 57436, 51356, 53862, 51244, 50449, 50707, 50295, 50803, 53121, 50388, 53692, 53798, 77978, 78724, 50799, 52316, 50803, 66452, 50823, 55515, 64854, 53623, 68159, 51093, 53213, 51431, 50846, 51641, 59852, 51395, 57646, 54542, 50834, 51641, 55155, 51093, 50828, 51431, 61494, 51395, 50811, 54542, 64783, 51093, 51010, 53121, 63137, 51973, 77978, 78724, 51629, 50803, 51431, 50846, 52264, 50811, 50707, 50295, 68238, 57436, 50962, 53862, 52953, 51395, 50811, 76021, 51641, 50817, 52336, 58167, 54542, 50928, 55111, 61360, 52316, 50803, 66452, 52057, 51629, 50811, 51304, 50811, 53623, 50803, 52264, 50961, 52629, 50930, 55515, 59071, 57436, 50880, 54922, 60964, 51394, 52940, 51395, 50809, 51641, 50817, 52336, 70577, 54542, 50867, 55111, 60062, 51093, 50962, 51629, 50811, 77978, 78724, 50707, 50295, 53153, 57436, 50867, 53862, 50867, 51431, 72022, 50809, 53121, 58614, 51335, 59730, 51395, 50811, 51394, 50811, 51641, 54232, 54542, 50863, 55111, 50867, 52336, 62959, 51629, 51010, 53623, 50803, 52316, 50803, 51304, 50803, 52629, 50894, 66452, 50823, 55515, 50811, 50799, 54922, 50880, 57436, 50817, 52264, 58099, 51093, 51010, 51629, 50811, 54480, 50950, 78724, 53121, 63137, 51973, 57436, 50821, 53862, 50813, 79215, 50707, 50295, 50803, 52264, 50950, 50437, 53623, 50803, 52316, 52057, 51093, 51009, 51629, 51009, 57436, 51029, 53862, 51115, 66452, 50882, 51431, 51029, 52264, 51029, 55515, 79738, 77978, 52481, 52116, 50707, 50295, 50803, 53121, 63137, 56771, 52316, 50803, 53623, 50823, 50799, 55515, 58320, 66452, 55492, 51488, 50811, 73649, 51509, 50846, 52061, 58741, 52061, 50825, 51509, 57851, 51488, 50949, 73649, 54157, 50884, 56841, 59045, 51488, 50811, 77978, 78724, 56841, 50887, 55111, 50930, 50707, 50295, 50950, 53121, 52968, 51394, 50811, 52061, 50862, 52336, 50381, 53692, 52119, 51201, 50930, 51304, 50811, 54922, 50836, 54157, 50857, 51509, 50809, 52629, 75031, 53623, 50803, 52316, 57880, 55111, 50808, 66452, 50823, 55515, 52952, 51488, 50811, 51394, 50811, 56841, 50836, 52061, 50862, 52336, 52510, 51093, 50962, 73649, 54157, 50880, 53862, 50836, 51431, 50862, 51509, 60168, 52481, 57891, 51488, 50811, 77978, 56841, 50809, 54899, 50862, 51723, 50862, 52061, 50840, 50707, 50295, 50882, 53121, 63137, 52116, 51165, 72091, 51201, 50962, 54157, 50887, 53862, 50841, 51431, 50855, 51509, 54166, 51093, 50962, 50460, 52316, 56771, 53623, 50803, 76021, 56841, 50809, 55111, 50836, 52061, 50809, 52336, 50930, 66452, 50803, 55515, 50811, 50799, 51488, 60861, 54157, 50836, 53862, 50836, 51431, 50813, 51509, 54475, 71315, 51201, 58099, 52481, 50811, 56841, 50857, 54899, 50837, 50707, 50295, 50803, 53121, 63137, 53537, 51165, 50930, 51488, 50811, 77978, 51723, 50837, 52061, 60519, 51201, 50803, 53862, 50825, 54157, 50809, 51431, 50836, 51509, 54216, 51093, 59693, 52316, 50803, 55515, 59266, 53623, 50803, 51488, 51300, 51394, 51009, 56841, 51551, 55111, 51196, 66452, 51014, 52336, 51285, 52061, 51300, 50449, 52481, 50811, 53121, 63137, 52116, 77978, 50707, 50295, 56771, 52316, 50803, 50799, 53623, 50803, 66452, 50803, 55515, 60861, 51093, 50817, 51641, 50835, 51431, 57242, 51395, 50817, 54542, 50883, 53862, 57466, 51093, 50895, 51395, 50809, 54542, 50855, 51641, 60892, 51093, 51010, 50425, 52481, 50811, 77978, 51629, 50803, 53862, 50813, 57436, 50880, 51431, 50864, 53121, 63137, 51973, 52264, 50817, 50707, 50295, 57925, 51395, 50811, 51394, 50930, 54542, 50855, 55111, 50809, 51641, 55649, 52336, 65925, 53623, 57880, 51093, 51010, 51629, 50811, 52316, 50803, 57436, 50809, 53862, 50884, 52264, 50811, 55515, 52952, 51431, 50809, 66452, 60254, 51165, 50962, 51395, 50811, 54899, 50828, 54542, 50887, 51723, 52510, 51641, 64072, 54480, 57891, 51375, 50811, 51093, 50811, 78724, 57454, 50839, 53862, 50887, 52211, 50836, 51431, 50840, 50707, 50295, 50803, 53121, 63137, 58403, 51165, 50962, 51395, 50811, 54542, 50880, 54899, 50834, 51723, 50840, 51641, 59026, 53623, 50803, 52316, 75889, 50803, 51629, 50803, 53862, 50840, 57436, 50813, 51431, 50820, 52264, 50811, 66452, 50803, 55515, 50811, 53069, 54899, 50839, 54542, 50862, 51723, 50813, 51641, 55777, 51165, 50841, 51395, 58242, 51335, 57615, 77978, 78724, 57454, 50813, 53862, 50809, 52211, 50887, 51431, 50880, 50707, 50295, 50803, 53121, 52968, 51375, 50811, 51093, 58221, 51395, 50880, 54899, 50820, 54542, 50862, 51723, 50809, 51641, 53705, 51165, 65452, 53623, 50803, 52316, 50803, 51629, 51009, 57436, 51527, 53862, 51196, 51431, 51870, 52264, 51009, 55515, 59266, 51093, 51300, 66452, 57891, 53121, 52568, 77978, 78724, 50707, 50295, 63137, 56628, 51335, 50823, 50799, 51426, 51795, 53121, 55534, 52371, 51031, 52481, 51795, 50707, 50295, 51795, 50416, 53121, 64600, 53121, 53070, 51093, 50811, 51395, 50811, 54542, 50828, 53862, 50836, 51641, 50818, 51431, 50930, 53121, 72640, 52314, 61183, 51395, 54381, 51165, 50837, 51093, 50811, 54542, 50836, 51641, 50857, 53121, 59095, 53121, 58964, 51629, 51973, 51093, 50811, 57436, 50887, 53862, 50820, 51431, 50809, 52264, 51010, 53121, 58245, 52314, 50982, 53121, 55001, 53121, 59508, 53121, 59277, 76021, 54542, 52810, 51395, 50811, 55111, 50880, 51641, 50818, 52336, 51010, 53121, 59076, 53121, 53908, 53121, 62602, 53121, 57352, 51304, 50811, 54922, 50809, 57436, 50836, 53121, 52676, 51629, 50803, 52264, 50895, 52629, 70988, 53121, 52279, 50834, 53012, 60371, 51394, 51779, 53384, 51395, 51010, 54542, 50930, 55111, 50880, 51641, 50890, 52336, 51010, 64614, 50928, 53526, 52231, 57471, 58501, 51629, 50811, 53862, 50886, 57436, 50855, 51431, 50836, 52264, 52279, 53035, 51093, 51010, 57688, 50846, 53061, 50834, 55350, 58014, 76021, 54542, 50880, 55111, 51010, 51641, 50809, 52336, 54319, 51395, 52279, 57077, 50804, 50880, 52198, 57498, 51629, 50811, 51304, 50803, 57436, 50930, 54922, 50950, 52264, 50811, 52629, 56106, 50811, 50799, 51887, 51300, 51154, 51300, 61715, 51300, 50425 ]

[ 0, 250, 20902, 3495, 1619, 2214, 19, 13134, 16882, 6, 4246, 10, 11739, 9, 13305, 6, 2020, 3548, 6, 17691, 28430, 6, 326, 5638, 18026, 6, 8, 10170, 1499, 6, 70, 8216, 7, 63, 32076, 8, 15352, 30054, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 23667, 27841, 139, 20889, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 272, 406, 6, 230, 6, 274, 6, 8, 230, 4620, 5, 46336, 24456, 9, 42, 12298, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50642, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 54920, 51191, 51085, 51255, 62967, 51254, 50801, 50959, 54928, 50415, 52173, 51101, 52391, 50838, 52344, 51376, 52850, 75570, 51784, 51470, 56759, 50942, 66883, 70489, 50861, 50937, 52391, 51008, 52344, 51008, 54407, 50427, 51900, 51074, 52850, 65053, 52850, 51269, 54928, 50435, 52173, 50892, 52344, 51126, 52391, 51000, 54908, 79259, 51351, 52498, 50824, 62967, 51142, 52344, 51051, 52391, 59743, 54088, 54928, 50439, 51873, 51237, 52850, 50854, 50440, 51900, 52063, 53526, 52179, 50447, 51784, 51534, 64057, 50925, 50900, 58628, 50910, 63121, 52344, 50822, 52391, 51008, 50903, 52744, 77836, 52619, 51227, 51994, 51290, 52850, 57450, 52391, 51269, 52344, 50907, 54928, 50459, 52850, 50971, 52894, 51191, 51247, 51255, 59235, 50984, 51891, 50822, 52344, 54352, 59809, 51862, 54928, 51206, 50878, 50415, 52498, 51274, 53653, 52097, 52879, 65290, 52857, 51534, 57025, 50942, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50904, 51891, 51126, 59235, 50870, 52879, 58854, 54063, 62743, 52624, 51254, 54928, 50437, 52498, 51377, 54683, 51191, 51085, 51351, 52515, 51481, 59235, 51126, 52344, 51126, 51891, 55503, 51051, 54928, 50439, 51873, 51653, 52879, 58171, 51802, 60649, 69466, 50900, 57035, 50910, 72733, 52498, 51472, 51900, 52482, 52879, 50813, 52344, 50904, 51891, 50904, 59235, 51000, 54407, 50451, 51873, 51661, 50458, 51784, 51008, 51891, 51833, 51051, 52894, 51191, 51247, 51255, 59235, 51254, 50801, 50959, 54928, 50415, 51891, 50838, 52344, 51376, 52879, 51006, 57025, 50942, 50900, 60094, 65840, 50937, 51891, 51008, 52344, 51008, 54407, 50427, 51994, 50795, 51873, 51977, 51531, 51009, 52879, 65053, 52879, 51269, 54928, 50435, 52344, 51126, 51891, 51000, 54908, 51191, 51085, 51255, 62967, 51365, 52850, 51058, 52181, 55930, 51051, 54928, 50439, 52857, 51242, 58725, 50878, 55895, 50942, 65200, 75729, 50876, 50937, 50903, 72773, 50451, 52330, 51160, 52285, 52460, 52181, 50851, 52850, 50864, 58725, 50833, 62967, 71439, 54928, 50459, 51784, 50822, 52894, 51141, 51247, 51255, 51873, 50918, 51531, 51300, 59235, 51365, 51891, 51058, 52344, 55930, 50959, 54928, 50415, 52879, 55440, 77126, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50851, 51891, 50864, 52879, 50833, 59235, 70301, 54928, 54908, 51204, 51085, 51351, 51531, 51377, 52344, 51376, 59235, 51524, 51891, 51051, 50801, 51051, 54928, 50439, 51691, 51460, 50440, 52879, 54823, 69466, 50900, 57035, 50910, 72733, 51531, 51077, 51666, 50849, 51691, 51661, 52344, 50912, 54407, 50451, 51891, 50874, 59235, 51319, 52879, 63181, 54928, 52894, 51191, 51247, 65849, 50959, 54928, 50415, 59235, 51376, 51891, 50978, 52344, 51174, 50416, 52879, 55656, 77126, 50900, 60094, 65840, 50937, 51691, 51358, 52368, 51527, 54407, 50427, 59235, 51000, 52344, 50867, 51891, 50904, 52879, 59890, 52879, 50971, 54928, 50435, 51891, 51126, 54585, 51191, 51279, 51255, 57489, 51212, 50756, 50289, 51365, 51891, 51058, 52344, 55930, 51051, 54928, 50439, 52850, 50878, 53526, 51862, 50447, 52285, 60333, 77126, 66883, 50916, 65840, 50937, 51908, 51016, 53242, 51454, 50903, 54566, 51051, 54407, 50451, 52515, 51166, 52344, 50851, 51891, 50864, 52850, 50833, 50756, 50289, 71439, 52857, 51051, 54928, 52894, 51141, 51247, 51255, 59235, 51000, 52344, 50941, 51891, 54874, 50959, 54928, 50415, 51691, 51343, 52368, 50918, 52879, 68684, 52714, 51058, 57025, 50942, 50900, 60094, 65840, 50937, 52355, 51481, 54407, 50427, 52344, 50941, 51891, 50904, 59235, 51000, 52879, 59062, 51784, 51254, 54928, 50437, 51531, 51112, 54908, 51204, 51085, 51351, 51691, 51427, 52515, 51534, 59235, 59547, 51051, 54928, 50439, 51891, 50827, 52344, 50907, 50440, 52879, 61334, 51802, 51470, 50449, 51531, 64712, 69466, 50900, 57035, 50910, 72733, 51691, 51472, 51784, 51534, 54407, 50451, 51891, 50904, 52344, 50864, 59235, 50982, 52879, 62705, 52355, 51008, 54928, 52894, 51191, 51247, 51255, 59235, 50984, 51891, 50822, 52344, 54352, 50959, 54928, 50415, 52879, 65599, 51873, 51413, 50425, 51531, 51356, 57025, 50942, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50904, 51891, 51126, 59235, 50870, 52879, 58608, 54928, 54908, 51191, 51085, 51255, 62967, 50984, 52850, 50822, 52181, 54352, 51051, 54928, 50439, 58725, 68785, 51784, 69945, 51873, 51221, 55895, 50942, 65200, 75729, 50876, 50937, 51666, 51016, 52285, 59355, 72773, 50451, 52181, 50904, 52850, 51126, 62967, 50870, 58725, 58323, 52926, 51142, 54928, 52894, 51141, 51247, 51255, 51873, 51446, 51531, 51527, 59235, 51000, 52344, 50941, 51891, 54874, 50959, 54928, 50415, 52879, 54654, 77126, 50900, 60094, 65840, 50937, 54407, 50427, 52344, 50941, 51891, 50904, 59235, 51000, 52879, 59062, 54928, 50436, 52498, 51377, 54908, 51204, 51085, 51351, 59235, 59547, 51051, 54928, 50439, 51873, 51379, 51891, 50827, 52344, 50907, 50440, 52879, 54105, 69466, 50900, 57035, 50910, 72733, 52498, 51446, 51873, 51661, 54407, 50451, 51891, 50904, 52344, 50864, 59235, 50982, 52879, 62705, 54928, 52894, 51191, 51247, 51255, 59235, 51365, 51891, 51058, 52344, 55930, 50959, 54928, 50415, 52879, 55440, 77126, 50900, 60094, 65840, 50937, 54407, 50427, 51691, 51551, 52368, 51661, 52344, 50851, 51891, 50864, 52879, 50833, 59235, 70301, 54928, 57097, 51191, 51247, 51255, 59235, 50984, 52814, 50822, 56102, 54352, 51051, 54928, 50439, 52146, 68785, 51802, 69945, 51908, 52266, 53242, 52728, 51176, 50942, 51086, 50844, 75818, 50871, 50937, 52183, 51480, 52933, 59355, 72773, 50451, 56102, 50904, 52814, 51126, 59235, 50870, 52146, 58323, 52824, 51142, 54928, 54920, 51091, 51085, 51255, 51871, 51077, 62967, 51000, 52391, 50874, 52344, 50904, 52850, 53877, 50959, 54928, 56759, 50942, 66883, 70489, 50861, 50937, 54407, 50427, 52344, 51000, 52391, 50837, 52850, 50836, 62967, 65627, 54928, 50437, 51531, 51073, 51908, 51162, 69031, 51204, 51214, 51351, 62967, 51319, 52344, 51000, 52391, 58011, 51051, 54928, 50439, 52850, 59433, 51531, 51127, 64057, 50925, 50900, 58628, 50910, 63121, 51908, 51103, 52391, 50864, 52344, 50941, 54407, 50451, 62967, 50928, 52850, 62705, 54928, 51094, 50304, 51204, 51085, 51351, 54246, 51006, 62967, 50984, 52344, 51126, 52391, 54036, 50959, 54928, 50415, 52850, 65942, 52714, 51524, 50422, 54219, 55656, 50997, 50942, 50900, 58628, 50808, 61084, 51994, 50983, 52278, 51074, 52344, 50904, 52391, 50834, 52850, 51187, 50878, 50427, 51531, 51413, 62967, 63633, 51784, 53021, 51051, 69031, 51191, 51214, 51003, 62967, 51126, 52344, 59874, 51051, 54928, 50439, 52391, 50941, 52850, 54417, 52186, 50978, 50449, 51994, 51377, 51988, 54526, 50997, 52434, 50304, 50955, 50916, 68668, 50937, 51666, 51013, 50903, 72773, 50451, 52344, 50886, 52391, 50820, 62967, 50891, 52850, 61425, 52278, 50972, 50458, 54928, 50459, 54246, 51051, 54920, 50983, 51085, 51255, 51994, 51446, 51531, 51336, 62967, 50984, 52391, 50822, 52344, 54352, 50959, 54928, 50415, 52850, 53906, 50997, 50942, 66883, 70489, 50861, 50937, 54407, 50427, 52344, 50904, 52391, 51126, 62967, 50870, 52850, 58608, 54928, 50437, 51994, 51221, 69031, 51204, 51214, 51351, 51988, 51653, 62967, 51126, 52344, 51126, 52391, 55503, 51051, 54928, 50439, 52850, 52800, 50997, 50925, 50900, 58628, 50910, 63121, 51994 ]

[ 0, 713, 5175, 25771, 2214, 6670, 10, 19448, 8, 5679, 26709, 5466, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 14, 74, 28, 157, 12, 9228, 4560, 13, 822, 4, 20, 13305, 3315, 5, 33301, 6, 7513, 30, 10, 38668, 11212, 8, 6755, 12547, 6, 150, 5, 3459, 9590, 8, 21072, 694, 10, 5204, 4811, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 41, 178, 5285, 20889, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 57448, 51205, 51496, 50956, 51274, 50965, 51274, 52187, 51283, 58296, 51446, 50965, 51472, 51863, 51448, 50433, 51096, 50918, 50454, 51656, 51148, 50456, 51069, 51870, 51040, 51551, 50965, 51870, 57448, 50429, 52255, 51803, 50432, 51796, 51551, 50900, 51661, 50965, 51285, 50456, 51105, 51264, 50997, 51307, 51040, 51151, 50871, 51359, 50965, 51151, 53100, 51243, 52402, 52015, 57448, 50438, 52340, 51056, 50442, 51325, 51192, 50448, 51096, 50820, 51105, 69560, 51105, 51345, 53188, 51480, 50456, 51096, 65844, 51796, 50882, 55563, 50808, 51176, 52017, 50900, 51445, 50956, 51469, 50965, 51264, 52402, 51293, 52402, 51293, 52531, 51168, 50376, 53692, 64685, 51325, 53590, 50862, 52470, 55997, 62782, 52358, 50864, 51694, 52154, 60155, 51096, 50835, 51205, 52223, 53998, 51325, 53835, 52275, 56030, 51325, 75031, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 51096, 50834, 51205, 53617, 51406, 53996, 51325, 51345, 50816, 52847, 61192, 52470, 50456, 50832, 70207, 63357, 51096, 50855, 51205, 51464, 58449, 52255, 51293, 52354, 52236, 50297, 51307, 50900, 51313, 50956, 52017, 50965, 51469, 52531, 51168, 65149, 50945, 53197, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 50862, 52470, 50432, 50945, 54451, 52275, 58853, 50945, 51420, 50864, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 51096, 54109, 51406, 53996, 50945, 51500, 50816, 52847, 61192, 52470, 50456, 50832, 72604, 66870, 51138, 50460, 51096, 50874, 52470, 55708, 50808, 51360, 51264, 80141, 50956, 51469, 50965, 51655, 52402, 51151, 52531, 51168, 65149, 51228, 55576, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 57050, 51096, 66142, 52470, 50432, 51228, 52589, 52275, 58853, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 54643, 53996, 51228, 77068, 52847, 61192, 52470, 50456, 50832, 72604, 54421, 51096, 63298, 52470, 53400, 52236, 50296, 51527, 50900, 51448, 50956, 51285, 50965, 51446, 52402, 51127, 52531, 51168, 65149, 51019, 53690, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 51559, 53998, 51105, 55719, 52275, 58853, 51105, 51508, 53945, 51197, 51285, 51040, 51285, 50997, 51749, 50989, 51364, 53100, 51127, 52340, 51056, 57770, 63397, 51325, 68633, 50897, 79025, 50832, 60168, 51096, 50820, 51105, 51192, 54643, 53996, 51105, 51345, 50956, 50921, 53188, 51480, 50816, 52847, 61192, 50989, 50938, 52470, 50456, 51096, 50942, 50965, 51138, 50832, 72604, 66870, 51021, 50459, 51796, 50882, 50799, 53091, 51535, 51325, 63748, 50961, 51176, 52017, 50900, 51445, 50956, 51469, 50965, 51264, 52402, 51293, 52531, 51168, 50376, 53692, 64685, 51325, 53590, 50862, 52470, 55997, 62782, 52358, 50864, 51694, 52154, 60155, 51096, 50835, 51205, 52223, 53998, 51325, 53835, 52275, 56030, 51325, 75031, 79788, 53091, 51221, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51121, 50448, 51096, 50834, 51205, 53617, 51406, 53996, 51325, 51345, 50816, 52847, 61192, 52470, 50456, 55783, 55993, 70207, 63357, 51096, 50855, 51205, 51464, 58449, 52255, 51293, 50799, 55521, 51148, 50945, 52236, 50297, 51307, 50900, 51313, 50956, 52017, 50965, 51469, 52531, 51168, 65149, 50945, 53197, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 50862, 52470, 50432, 50945, 54451, 52275, 58853, 50945, 51420, 53945, 55783, 51484, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51178, 50448, 51096, 54109, 51406, 53996, 50945, 51500, 50816, 52847, 61192, 52470, 50456, 53091, 58266, 72604, 66870, 51138, 50460, 51096, 50874, 52470, 50799, 54142, 50892, 70507, 51360, 51264, 80141, 50956, 51469, 50965, 51655, 52402, 51151, 52531, 51168, 65149, 51228, 55576, 50862, 52470, 50420, 53091, 53742, 58304, 55521, 51680, 52358, 50864, 51694, 52154, 57050, 51096, 66142, 52470, 50432, 51228, 52589, 52275, 58853, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 54643, 53996, 58241, 51008, 51228, 77068, 52847, 61192, 57041, 50941, 52470, 50456, 55521, 66639, 72604, 54421, 51096, 63298, 52470, 50799, 54142, 50925, 51019, 52236, 50296, 51527, 50900, 51448, 50956, 51285, 50965, 51446, 52402, 51127, 52531, 51168, 65149, 51019, 53690, 50862, 52470, 50420, 55837, 51157, 50832, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 51559, 53998, 54142, 51241, 51105, 55719, 52275, 58853, 51105, 51508, 53945, 51197, 51285, 51040, 51285, 50997, 51749, 50989, 51364, 53100, 51127, 52340, 51056, 57770, 63397, 51325, 68633, 50897, 79025, 50832, 60168, 51096, 50820, 51105, 51192, 54643, 53996, 54142, 50813, 51105, 51345, 50956, 50921, 53188, 51480, 50816, 52847, 61192, 50989, 50938, 52470, 50456, 54142, 50937, 51096, 50942, 50965, 51138, 50832, 72604, 66870, 51021, 50459, 51796, 50882, 50799, 55521, 50987, 53091, 51535, 51325, 63748, 50961, 51176, 52017, 50900, 51445, 50956, 51469, 50965, 51264, 52402, 51293, 52531, 51168, 50376, 53692, 64685, 51325, 53590, 50862, 52470, 55997, 62782, 52358, 50864, 51694, 52154, 60155, 51096, 50835, 51205, 52223, 53998, 51325, 53835, 52275, 56030, 51325, 75031, 79788, 53091, 51221, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51121, 50448, 51096, 50834, 51205, 53617, 51406, 53996, 51325, 51345, 50816, 52847, 61192, 52470, 50456, 55783, 55993, 70207, 63357, 51096, 50855, 51205, 51464, 58449, 52255, 51293, 50799, 55521, 51148, 50945, 52236, 50297, 51307, 50900, 51313, 50956, 52017, 50965, 51469, 52531, 51168, 65149, 50945, 53197, 50862, 52470, 55997, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 50862, 52470, 50432, 50945, 54451, 52275, 58853, 50945, 51420, 53945, 55783, 51484, 57770, 63397, 50798, 50897, 79025, 50832, 54417, 55862, 51178, 50448, 51096, 54109, 51406, 53996, 50945, 51500, 50816, 52847, 61192, 52470, 50456, 53091, 58266, 72604, 66870, 51138, 50460, 51096, 50874, 52470, 50799, 54142, 50892, 70507, 51360, 51264, 80141, 50956, 51469, 50965, 51655, 52402, 51151, 52531, 51168, 65149, 51228, 55576, 50862, 52470, 50420, 53091, 53742, 58304, 55521, 51680, 52358, 50864, 51694, 52154, 57050, 51096, 66142, 52470, 50432, 51228, 52589, 52275, 58853, 52470, 51450, 52942, 63397, 50798, 50897, 79025, 50832, 60168, 54643, 53996, 58241, 51008, 51228, 77068, 52847, 61192, 57041, 50941, 52470, 50456, 55521, 66639, 72604, 54421, 51096, 63298, 52470, 50799, 54142, 50925, 51019, 52236, 50296, 51527, 50900, 51448, 50956, 51285, 50965, 51446, 52402, 51127, 52531, 51168, 65149, 51019, 53690, 50862, 52470, 50420, 55837, 51157, 50832, 58304, 52358, 50864, 51694, 52154, 60155, 51096, 51559, 53998, 54142, 51241, 51105, 55719, 52275, 58853, 51105, 51508, 53945, 51197, 51285, 51040, 51285, 50997, 51749, 50989, 51364, 53100, 51127, 52340, 51056, 57770, 63397, 51325, 68633, 50897, 79025, 50832, 60168, 51096, 50820, 51105, 51192, 54643, 53996, 54142, 50813, 51105, 51345, 50956, 50921, 53188, 51480, 50816, 52847, 61192, 50989, 50938, 52470, 50456, 54142, 50937, 51096, 50942, 50965, 51138, 50832, 72604, 66870, 51021, 50459, 51796, 50882, 50799, 55521, 50834, 51796, 50859, 50965, 50961, 54911, 52062, 52689, 52062, 57922, 51801, 52531, 51168, 50376, 53692, 64685, 50798, 50862, 52470, 55997, 62782, 51796, 54438, 51044, 50864, 51694, 52154, 60155, 52470, 50432, 51796, 54200, 52275, 63136, 51796, 51041, 53945 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 11739, 9, 13305, 6, 2382, 3459, 8669, 6, 21979, 8669, 6, 24896, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 4, 20, 16331, 33215, 16739, 9, 211, 6, 83, 6, 381, 6, 8, 83, 4620, 5, 46336, 24456, 4, 20, 15229, 7630, 6568, 10, 5679, 26709, 8, 11653, 5466, 6, 13869, 26545, 8, 11098, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 52591, 55289, 50820, 52521, 50828, 51967, 53803, 55353, 50862, 52521, 50834, 51967, 53860, 56673, 50834, 52521, 50834, 51967, 52766, 56673, 50841, 52521, 54305, 56673, 50834, 52521, 50908, 53122, 54036, 53409, 56673, 50820, 52521, 50857, 51967, 54518, 53563, 56673, 50820, 52521, 50857, 52130, 59854, 73172, 52142, 50995, 52130, 50878, 52582, 51449, 51701, 51449, 52288, 51364, 50944, 51337, 56387, 51742, 51708, 51194, 51198, 51194, 51494, 51203, 51119, 51194, 62273, 51987, 57030, 51171, 51310, 71419, 53058, 51172, 50420, 52176, 51337, 50920, 51258, 50421, 50946, 79433, 51198, 51124, 51494, 51203, 51119, 51194, 52142, 51233, 53058, 51194, 61394, 52539, 58245, 50848, 73906, 51233, 50850, 65135, 70429, 52176, 50845, 68637, 69841, 50433, 50946, 51391, 53758, 51291, 51198, 51328, 51494, 51328, 51119, 51328, 53058, 50915, 52142, 51047, 53358, 51987, 57477, 50848, 51337, 50944, 51423, 68098, 50444, 52176, 51423, 50843, 55712, 51258, 50445, 51171, 54058, 51198, 51111, 51494, 50991, 51119, 51346, 51967, 51121, 59425, 52823, 58351, 50848, 63855, 51172, 65198, 50456, 56387, 51242, 53122, 59301, 53762, 56772, 52091, 51449, 51701, 51449, 53285, 51204, 52537, 50959, 51847, 51400, 51232, 51400, 51119, 51480, 52130, 51267, 52142, 51003, 53358, 52523, 57392, 51688, 67493, 51645, 50868, 51025, 50850, 51363, 50420, 52537, 51337, 50843, 53762, 51258, 50421, 51217, 76906, 51847, 50995, 51232, 50915, 51119, 50915, 52130, 51267, 52142, 51312, 54074, 51987, 58245, 51017, 51412, 77111, 50850, 71992, 70907, 52537, 53877, 54119, 53495, 53569, 51069, 51285, 52537, 50915, 52142, 51318, 52130, 50873, 52321, 52523, 60470, 51017, 51309, 50868, 51233, 65198, 50444, 51847, 50874, 53058, 55309, 53495, 64734, 51217, 69262, 52130, 70832, 51967, 55125, 51847, 50845, 51232, 50901, 51119, 56369, 51135, 51987, 58351, 78783, 63299, 58752, 50456, 52537, 51058, 52130, 50955, 52142, 50955, 52521, 64321, 53995, 51258, 50461, 52582, 51314, 51701, 51314, 52288, 51362, 56387, 51115, 51198, 51412, 51494, 51480, 51119, 51203, 52142, 51253, 52130, 53309, 51392, 52523, 64565, 51171, 51134, 50848, 51233, 50944, 51043, 65198, 50416, 53058, 51203, 50420, 52176, 51337, 50843, 53495, 51129, 50421, 50946, 67175, 51198, 51025, 51494, 51025, 51119, 51043, 53058, 50925, 52142, 51212, 59425, 53045, 59619, 50848, 51233, 50944, 51178, 69861, 50429, 52130, 53627, 65340, 52176, 50827, 51967, 53959, 52141, 53107, 68658, 50946, 51411, 50437, 51678, 51108, 56903, 51016, 58001, 50845, 51198, 51312, 51232, 51267, 51099, 51025, 53058, 50873, 52321, 51987, 60470, 50848, 73906, 51194, 67474, 50444, 52533, 50874, 51951, 59689, 53495, 51129, 50445, 51171, 51337, 50449, 51701, 58959, 51213, 51013, 56686, 50905, 51198, 51480, 51494, 50866, 51119, 50866, 52142, 51121, 54074, 51987, 58351, 61375, 69946, 50850, 58325, 53483, 50864, 51967, 58174, 53995, 69646, 51171, 62800, 51678, 51449, 52252, 51449, 52563, 51091, 53366, 51397, 51198, 51412, 51099, 51025, 51429, 51411, 53020, 51295, 53358, 51987, 57392, 50988, 50942, 73172, 70531, 50935, 51337, 50420, 51869, 51481, 50843, 53107, 72592, 50988, 73969, 51198, 51233, 51099, 51255, 51429, 51480, 61394, 51987, 59741, 72071, 72976, 50935, 77066, 63657, 51869, 50878, 53258, 52015, 69443, 53107, 62713, 60624, 55208, 51291, 53366, 51199, 51198, 54352, 51392, 52291, 64481, 57724, 57230, 50935, 58867, 51198, 51177, 51099, 51109, 51429, 51109, 51401, 54996, 52291, 51129, 50445, 50988, 58238, 51869, 50813, 52473, 51159, 59425, 51987, 65392, 50848, 59643, 63472, 54194, 51198, 64321, 52291, 68716, 50946, 51008, 50461, 52582, 51449, 51701, 51449, 52288, 51091, 56387, 51477, 51198, 51534, 51494, 51534, 51119, 51233, 51763, 50914, 69063, 53107, 58120, 51171, 51310, 50848, 51212, 50944, 51121, 65623, 50420, 52176, 52518, 50920, 52445, 50421, 50946, 51423, 50426, 51198, 51419, 51494, 51351, 51119, 51134, 54074, 53107, 61033, 50848, 51177, 50944, 51177, 50850, 62118, 58883, 52176, 50974, 51763, 53933, 53473, 53495, 61689, 50946, 50892, 53758, 51336, 56387, 51318, 52473, 50845, 52453, 52291, 64481, 50848, 59232, 54879, 55040, 52176, 51642, 51198, 51000, 51282, 59689, 53107, 51129, 50445, 50946, 78271, 51198, 51043, 51494, 51400, 51119, 51203, 54322, 56744, 51135, 53045, 58517, 50848, 57062, 56219, 55670, 52176, 56395, 53995, 68716, 50946, 78584, 52091, 51449, 51701, 51449, 53285, 51294, 52537, 50827, 51847, 51534, 51232, 51363, 51119, 51412, 52124, 50943, 53358, 51987, 66583, 51017, 51534, 67477, 65198, 50420, 52537, 51481, 50843, 53495, 51258, 50421, 50946, 67732, 51847, 51534, 51232, 51203, 51119, 51203, 61394, 52823, 61033, 51017, 51233, 50868, 51194, 50850, 77066, 70907, 52537, 51328, 52124, 54436, 53766, 53107, 68658, 50946, 68535, 51069, 51472, 51847, 51277, 51232, 51328, 51099, 51101, 51119, 51884, 51401, 50873, 52321, 51987, 62889, 51017, 51233, 67477, 68098, 50444, 52537, 51006, 51282, 59301, 53495, 72485, 50946, 65504, 51847, 50845, 51232, 51177, 51099, 51212, 51119, 50974, 52473, 60503, 51135, 53045, 60068, 51017, 51412, 78225, 50850, 51400, 50456, 52537, 51006, 50843, 53762, 51129, 50457, 50946, 73827, 52582, 51449, 51701, 51449, 52288, 51294, 56387, 51535, 51198, 51412, 51494, 51534, 51119, 51363, 51763, 51267, 52321, 52291, 57392, 51171, 51047, 50848, 51411, 50944, 51411, 50850, 52378, 50420, 52176, 51481, 50843, 53495, 72592, 50946, 71266, 51198, 51363, 51494, 51203, 51119, 51043, 51967, 51295, 53058, 51295, 51282, 51177, 61394, 52539, 58245, 50848, 51480, 50944, 51025, 50850, 73195, 58883, 52176, 51412, 51763, 55503, 53759, 52291, 78694, 50946, 51101, 53758, 51472, 51198, 51277, 51494, 51753, 51119, 51277, 51763, 51212, 52321, 53107, 64481, 77363, 74579, 65623, 50444, 56387, 51534, 52130, 50845, 51282, 64321, 53495, 71102, 50946, 54058, 52176, 50904, 51198, 51051, 51494, 51470, 51119, 51008, 51967, 50892, 54322, 51097, 59425, 52499, 60068, 67102, 67169, 50850, 54752, 58001, 50822, 53122, 51212, 50843, 53107, 68716, 50946, 51242, 50461, 52091, 51449, 51701, 51449, 53285, 50807, 60310, 51824, 51847, 51172, 51232, 51337, 51119, 51423, 52521, 52071, 52124, 51310, 52166, 53515, 64565, 51017, 51242, 72419, 50850, 55041, 52537, 51884, 50843, 53495, 72592, 50946, 53383, 51069, 50807, 51847, 51797, 51232, 51423, 51119, 51242, 51815, 55284, 51139, 53045, 61033, 50946, 51255, 51017, 78265, 52537, 50912, 52124, 58011, 54119, 53107, 65975, 51688, 53018, 51205, 51013, 60310, 51423, 51847, 51277, 51232, 51277, 51099, 50905, 54110, 51108, 53358, 52291, 78565, 51042, 51363, 50848, 72438, 74118, 52537, 56661, 52523, 51129, 50445, 51688, 58262, 51228, 50889, 51229, 50889, 52537, 50851, 51847, 51174, 51232, 50987, 54322, 51199, 54074, 53045, 79949, 62677, 69950, 50868, 54194, 52537, 56254, 56603, 52016, 51449, 52582, 51449, 52288, 51343, 51322, 50830, 56387, 51097, 51198, 51419, 51494, 51542, 51119, 51542, 53552, 52523, 64565, 51171, 52168, 50848, 51337, 50944, 51423, 65623, 50420, 51322, 50952, 52176, 73339, 52523, 73768, 50946, 71266, 52176, 51679, 55722, 52786, 58815, 50848, 51337, 50944, 51363, 65198, 58932, 55460, 61689, 50946, 51233, 53758, 51091, 51198, 51645, 52455, 52523, 65004, 50848, 51309, 50944, 51423, 67634, 50444, 51322, 51100, 52176, 51242, 50843, 53515, 72485, 50946 ]

[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1472, 9, 9066, 9733, 8, 4149, 6, 4246, 10, 6755, 12547, 6, 32909, 6, 1515, 21305, 6, 2342, 4467, 6, 8, 15679, 642, 1543, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 11498, 41, 12447, 1001, 20889, 1328, 6, 2351, 41, 5466, 9, 8354, 8, 814, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 1471, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50415, 51794, 50880, 51154, 50811, 51375, 50803, 52061, 50817, 71555, 52264, 50811, 55078, 50811, 52913, 50811, 54541, 50894, 51996, 50811, 52541, 59177, 51670, 59852, 51794, 50941, 54541, 50837, 53951, 57559, 51794, 75730, 54541, 59461, 54654, 51794, 65450, 54541, 55924, 55286, 51794, 50930, 51154, 50846, 51375, 76245, 50699, 50273, 50859, 52907, 50823, 54541, 51010, 51996, 50811, 52541, 50962, 57671, 52781, 51794, 67635, 54541, 53802, 65246, 51794, 63776, 54541, 59500, 55434, 51794, 59843, 54541, 54528, 55634, 57805, 50940, 52602, 51014, 51794, 50880, 51154, 50961, 51375, 58614, 54541, 50950, 51996, 50811, 52541, 52791, 53920, 51794, 64853, 54541, 53802, 61545, 51794, 51365, 50460, 54541, 61591, 50886, 50799, 54541, 76415, 50804, 64523, 50699, 50273, 50803, 52907, 58609, 51794, 50887, 51154, 51010, 51375, 57591, 73888, 54541, 50930, 52541, 50811, 51996, 52630, 51794, 56670, 54541, 53784, 70898, 51794, 61660, 54541, 77522, 64205, 51794, 56693, 54541, 74068, 77745, 52602, 59921, 57805, 50890, 51794, 50809, 51154, 51010, 51375, 52952, 54541, 50811, 52541, 50811, 51996, 52050, 75636, 50699, 50273, 51010, 52907, 50840, 51794, 50962, 54541, 54218, 50971, 56594, 63155, 51794, 50836, 51154, 50841, 51375, 50930, 54541, 50862, 52541, 51010, 51996, 53893, 63653, 50816, 58261, 52481, 50823, 51088, 75336, 51426, 50890, 51946, 50887, 54277, 50813, 52695, 51463, 50941, 53462, 51021, 61745, 51427, 56032, 58449, 57805, 50823, 52602, 51030, 51794, 51010, 51375, 50950, 51154, 50811, 54541, 50811, 51996, 50811, 52541, 52279, 50811, 50799, 51335, 50894, 50419, 51794, 52628, 54541, 53802, 67643, 51794, 50904, 54541, 51004, 72130, 64942, 51794, 50864, 54541, 50870, 51302, 60741, 50699, 50273, 50890, 52907, 50803, 51794, 50811, 51154, 51010, 51375, 50811, 54541, 51010, 52541, 54332, 52359, 51996, 57776, 51794, 54077, 54541, 54518, 76428, 51794, 56714, 54541, 56450, 51126, 50443, 51794, 50971, 54541, 59606, 58145, 52602, 50823, 51794, 50887, 51375, 50811, 54541, 50887, 52541, 50811, 51996, 51463, 55268, 57805, 50823, 51154, 56354, 51794, 50835, 54541, 53784, 71439, 51794, 51126, 54541, 53889, 70004, 54541, 54472, 50886, 50799, 51794, 68162, 50699, 50273, 50803, 52907, 50803, 54541, 51010, 52541, 50887, 51996, 53989, 54681, 51794, 50887, 66441, 51375, 58099, 51794, 55447, 54541, 53479, 63444, 51794, 50857, 54541, 53889, 64205, 51794, 50886, 54541, 54218, 52810, 51154, 59572, 57805, 50811, 52602, 65452, 51794, 51010, 51375, 50803, 54541, 52791, 53574, 66441, 52541, 51010, 51996, 58772, 54277, 50835, 51946, 54345, 53783, 53623, 50962, 51299, 50857, 51301, 50855, 51088, 50813, 52695, 60374, 57805, 50811, 52602, 50857, 51794, 50811, 51375, 50821, 51154, 50883, 54541, 50890, 52541, 50811, 51996, 53989, 63335, 55244, 50962, 52143, 50809, 51426, 50930, 51088, 51010, 78990, 52695, 50862, 52032, 50813, 51946, 54866, 57620, 50816, 50863, 52198, 59700, 59472, 50823, 53599, 50823, 51301, 50821, 51375, 50803, 51357, 50803, 53064, 50803, 52541, 50811, 53339, 52409, 51010, 52591, 51301, 50837, 53064, 54518, 50941, 63741, 56295, 51301, 50837, 53064, 52641, 51301, 50862, 53064, 53352, 64205, 50699, 50276, 50803, 53623, 52119, 51375, 51010, 51357, 50962, 51301, 50809, 53064, 50811, 52541, 50811, 53339, 52791, 53574, 51301, 57270, 53064, 54518, 59356, 51301, 50904, 53064, 54946, 54758, 51301, 50904, 53064, 54518, 54915, 59472, 50860, 51301, 50930, 51375, 50811, 51357, 50811, 53064, 54690, 63793, 52541, 50817, 53339, 54210, 51301, 65267, 53064, 53784, 61545, 51301, 50870, 53064, 59500, 63729, 51301, 50886, 53064, 50904, 51601, 50804, 68353, 53623, 53113, 50699, 50276, 50811, 51301, 50809, 51375, 50811, 51357, 50811, 53064, 50930, 52541, 50817, 53339, 52791, 60567, 51301, 52329, 53064, 57334, 50804, 61036, 53064, 51210, 50816, 72479, 51301, 52810, 50804, 71259, 59472, 50811, 53599, 75483, 51301, 50840, 51357, 50803, 53064, 50887, 52541, 50817, 53339, 52952, 51375, 52791, 58350, 54480, 51010, 52481, 62859, 51794, 50962, 74821, 51165, 50836, 54541, 50890, 53780, 50818, 52032, 54528, 50941, 56594, 71487, 55472, 50993, 53148, 76253, 51301, 50862, 51375, 50962, 51357, 50811, 53064, 50962, 52541, 50811, 53339, 52279, 50813, 59986, 65556, 53780, 50894, 52032, 50803, 53916, 58403, 51491, 50840, 51165, 50962, 51488, 52279, 50971, 56032, 61561, 51301, 50836, 51375, 50811, 51357, 50803, 53064, 50811, 52541, 50811, 53339, 50811, 50799, 53599, 50823, 59472, 54627, 57188, 51301, 50908, 53064, 58158, 50804, 68684, 53064, 54104, 51301, 60818, 51297, 50425, 51301, 50862, 53064, 50867, 51302, 62169, 53339, 52726, 50699, 50276, 50811, 53623, 50894, 51301, 50890, 51375, 50811, 51357, 50811, 53064, 50883, 52541, 52050, 55395, 51301, 50809, 53064, 54212, 50908, 50440, 50816, 63780, 53064, 51004, 50442, 53064, 51319, 50443, 51301, 55924, 61444, 51301, 56409, 53886, 53599, 50950, 51375, 50817, 51357, 50880, 59472, 50803, 53064, 50880, 52541, 50811, 53339, 59730, 53780, 50811, 53916, 55433, 62276, 50811, 54333, 50864, 51491, 50930, 51165, 50841, 51488, 50862, 52032, 53966, 50928, 56032, 50835, 52198, 57867, 50816, 50961, 50799, 53215, 50983, 51088, 51391, 51357, 51343, 51107, 51141, 53339, 51541, 52601, 51226, 51946, 51191, 50415, 70285, 68499, 52776, 51362, 51088, 51391, 51165, 51362, 51395, 51191, 51946, 51204, 52032, 51059, 53343, 51059, 57688, 50857, 54706, 55370, 64979, 56032, 74509, 57805, 50803, 52602, 50811, 51794, 79257, 50803, 51375, 50803, 51488, 50821, 50799, 52264, 50811, 52061, 50817, 51509, 50817, 52913, 52279, 51670, 50388, 53692, 60861, 51488, 53070, 52061, 57987, 50804, 68684, 51488, 50813, 52061, 53868, 50816, 63366, 51488, 64462, 52061, 71297, 64044, 50816, 67393, 52907, 51010, 51887, 51010, 51488, 51010, 51201, 50887, 51629, 50811, 51905, 58221, 52061, 50817, 52264, 50811, 51509, 52265, 52324, 52279, 65268, 51488, 50890, 52061, 53294, 50804, 66116, 51488, 50904, 52061, 54946, 74034, 52061, 53802, 68211, 51488, 66880, 50816, 50941, 57471, 76973, 51488, 50811, 51201, 51010, 51629, 50811, 51905, 50811, 52602, 50925, 52143, 50829, 51638, 50894, 52061, 50817, 51509, 50817, 52264, 57859, 51488, 50862, 52061, 54212, 64459, 52061, 57950, 51488, 66874, 51128, 50460, 51488, 50904, 52061, 54472, 50870, 51809, 50816, 51000, 50419, 51488, 50811, 73649, 51629, 50811, 51905, 51031, 51887, 50803, 52061, 50962, 52264, 50817, 51509, 51463, 57606, 52907, 58099, 51488, 50867, 52061, 51463, 71699, 51488, 50941, 52061, 54946, 66434, 51488, 59606, 62169, 51201, 50908, 52061, 57160, 50816, 51000, 55935, 79737, 51638, 50858, 51488, 50811, 73649, 51629, 50811, 52602, 50811, 51905, 50949, 52061, 50811, 51509, 50817, 52264, 58772, 51488, 50813, 52061, 50835, 52913, 53500, 54923, 57915, 52913, 59433, 51488, 50887, 51629, 50962, 51201, 51031, 51905, 51031, 52061, 50930, 52264, 50817, 51509, 50818, 53121, 51779, 50388, 53692, 64985, 78724, 51426, 50887, 51165, 50930, 51395, 50811, 51629, 50836, 51394, 50811, 51182, 50895, 51579, 50818, 51723, 50961, 51641, 50384, 74014, 70548, 77379, 51723, 50829, 51579, 50839, 51641, 50883, 56032, 65540, 51638, 50833, 52602, 50803, 51488, 50821, 51201, 50803, 51629, 50803, 51905, 50811, 52061, 50811, 71555, 52264, 50811, 52913, 53988, 50811, 58088, 50817, 51528, 63137 ]

[ 0, 250, 19448, 15855, 2125, 702, 9382, 15, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 16331, 33215, 16739, 9, 211, 119, 6, 272, 119, 6, 8, 274, 6670, 10, 5679, 26709, 8, 11653, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 10, 19834, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 51504, 50874, 50947, 50981, 50417, 50986, 53066, 51131, 55266, 50986, 52654, 51131, 50844, 51032, 64627, 50986, 52658, 51504, 50822, 50970, 75986, 50986, 52729, 51131, 58709, 50986, 53103, 51131, 50844, 50947, 59956, 50986, 52843, 51246, 50822, 65244, 50453, 50986, 53920, 51131, 50822, 50970, 70395, 75341, 61108, 50844, 65244, 50417, 50986, 53066, 51504, 50844, 50947, 50943, 50423, 50986, 53906, 51131, 57250, 50986, 52658, 51131, 50844, 50970, 60282, 50986, 54181, 51504, 50822, 50947, 50943, 50441, 50986, 53103, 51131, 55118, 50986, 52843, 51131, 50822, 65063, 50453, 50986, 52863, 51504, 50822, 50970, 50932, 50459, 79509, 62954, 58172, 50986, 53066, 51131, 50822, 58993, 50423, 50986, 52654, 51246, 50844, 50929, 65005, 50986, 53911, 51131, 50822, 50970, 60282, 50986, 52729, 51207, 50822, 68242, 50441, 50986, 53103, 61447, 50970, 51003, 56103, 51504, 50822, 50947, 51097, 50417, 50986, 54611, 51131, 55266, 50986, 52654, 51131, 50810, 51032, 64627, 50986, 52658, 51504, 50822, 50970, 75986, 50986, 53415, 51131, 58709, 50986, 53103, 51131, 50822, 58993, 50447, 50986, 52843, 51246, 50810, 65244, 50453, 50986, 52863, 51131, 50822, 50970, 60864, 79509, 61108, 50844, 65244, 50417, 50986, 53066, 51504, 50822, 50947, 51003, 50423, 50986, 52654, 51131, 57250, 50986, 53513, 51131, 50844, 50970, 65867, 50986, 52729, 51504, 50822, 50947, 63939, 50986, 53783, 51131, 55118, 50986, 52843, 51131, 50822, 65063, 50453, 50986, 54194, 51504, 50874, 50970, 50932, 50459, 75341, 62954, 59991, 50986, 53066, 51131, 50844, 50947, 58861, 50986, 52654, 51246, 50844, 50929, 64318, 50986, 52658, 51131, 50822, 50970, 60282, 50986, 53614, 51207, 50822, 68242, 50441, 50986, 53103, 51131, 50995, 50970, 51003, 64752, 50995, 50998, 58172, 50986, 53728, 51067, 55747, 50986, 53881, 51032, 53847, 50986, 53193, 51131, 51097, 50970, 55098, 50986, 52691, 51067, 52831, 50986, 53783, 51032, 52513, 50986, 54385, 51574, 51097, 50929, 55874, 50986, 54900, 51032, 52567, 64268, 63133, 50905, 51064, 54275, 50986, 54448, 51504, 50901, 50947, 54080, 50986, 52921, 51207, 50845, 50998, 55730, 50986, 53193, 72878, 50970, 56529, 50986, 53614, 51246, 50915, 50998, 56532, 50986, 53783, 51067, 53363, 50447, 51032, 52848, 51076, 53259, 50453, 51032, 51754, 51131, 50995, 50970, 54846, 79509, 52177, 51032, 54588, 51032, 52450, 53271, 50981, 50929, 55730, 50960, 52658, 51064, 55632, 50929, 52841, 51725, 50845, 50998, 58935, 50986, 54746, 70655, 62768, 64752, 51003, 57573, 50417, 50986, 54351, 51067, 53184, 50986, 52921, 51032, 53847, 50986, 53193, 51131, 50995, 50970, 55098, 50986, 53614, 51067, 54134, 50986, 53743, 51032, 53668, 50986, 53140, 51574, 51097, 50929, 58229, 50986, 53820, 51032, 53848, 73248, 63133, 50892, 51064, 54275, 50986, 54448, 51504, 50901, 50947, 54588, 50986, 53881, 51207, 50901, 50998, 57544, 50986, 53513, 72878, 50970, 54125, 50986, 53614, 51246, 50915, 50998, 62079, 50986, 53743, 51067, 53090, 50447, 51032, 51757, 51076, 53380, 50453, 51032, 52643, 51131, 51097, 50970, 54678, 79509, 52177, 51032, 54588, 51032, 52710, 53271, 50995, 50929, 55730, 50960, 53513, 51064, 55632, 50929, 54181, 51725, 50901, 50998, 58935, 50986, 54746, 51504, 51013, 50970, 51013, 64752, 51003, 50970, 55689, 64207, 51316, 51363, 50423, 51067, 53450, 50970, 56739, 51067, 53513, 51207, 50995, 65813, 51064, 54137, 70748, 50947, 51803, 50441, 51064, 53783, 50960, 57904, 51064, 54004, 52562, 50981, 51136, 50838, 50929, 53581, 67672, 58700, 50892, 51136, 54177, 51246, 50943, 50960, 50943, 51064, 54347, 50970, 52580, 50929, 55730, 50947, 53911, 51064, 54112, 51032, 54181, 51246, 50995, 50970, 51412, 51067, 55322, 50970, 50892, 51316, 51363, 50447, 51067, 52843, 50970, 58305, 51067, 52863, 51207, 51097, 50960, 51534, 51064, 50892, 61894, 50905, 50947, 51803, 50417, 51064, 54351, 50960, 56174, 51064, 52654, 52562, 51097, 51136, 50974, 50929, 55544, 51032, 55306, 51504, 50845, 51136, 55103, 51246, 50943, 50960, 50943, 51064, 50915, 64752, 50995, 77661, 51067, 55126, 64207, 51316, 51363, 50423, 51067, 52654, 50970, 56739, 51067, 53911, 51207, 50995, 63557, 51064, 56298, 69125, 50947, 51452, 50441, 51064, 54746, 50960, 55876, 51064, 52843, 52562, 51097, 51136, 50905, 50929, 54509, 65063, 58700, 50845, 51136, 55126, 51246, 51003, 50960, 51003, 51064, 55797, 50970, 53881, 50929, 57544, 50947, 53911, 51064, 56529, 51032, 53415, 51246, 51097, 50970, 51534, 51067, 53999, 77661, 51316, 51412, 50447, 51067, 54004, 50970, 56936, 51067, 54424, 51207, 50932, 67363, 51064, 50974, 61894, 62874, 51742, 50417, 51064, 54351, 50960, 54252, 51064, 53450, 52562, 51097, 51136, 50974, 50929, 55544, 51032, 54233, 51504, 50845, 51136, 55103, 51246, 50943, 50960, 50943, 51064, 50915, 69683, 67722, 51032, 51191, 50418, 50947, 54475, 51136, 60682, 50947, 53901, 51136, 58331, 50947, 53860, 60917, 50434, 51064, 62439, 50970, 53980, 65606, 50440, 51064, 62438, 50970, 54434, 51246, 61334, 62200, 50448, 50960, 54086, 51131, 64732, 50970, 61348, 51136, 53211, 51504, 61688, 50970, 59107, 75043, 62954, 79171, 61398, 50418, 51136, 54657, 51246, 60342, 50960, 62115, 50970, 53901, 51064, 65216, 63208, 50430, 50960, 53705, 51246, 59992, 50960, 62517, 50970, 53894, 51136, 64562, 51032, 51204, 50442, 50947, 54840, 51136, 58321, 50947, 53886, 51136, 59096, 50947, 54481, 50960, 62309, 51064, 61629, 65740, 61894, 76328, 51064, 62799, 50970, 55105, 51444, 62488, 50970, 59474, 50960, 53383, 52562, 63444, 50929, 61799, 50986, 53860, 51504, 61075, 51064, 59079, 50960, 54077, 51504, 68167, 50947, 62438, 51136, 54434, 51246, 60812, 50960, 64598, 50970, 53938, 51064, 64703, 50970, 63226, 50960, 54199, 51246, 50892, 69683, 70325, 51032, 51204, 50418, 50947, 54402, 51136, 60682, 50947, 53425, 51136, 58854, 50947, 53860, 50960, 59992, 51064, 62439, 50970, 53980, 65606, 50440, 51064, 63954, 50970, 54758, 51246, 61334, 62200, 50448, 50960, 52800, 51131, 76690, 50970, 60632, 51136, 53211, 51504, 59972, 61398, 50460, 51136, 50813, 62954, 50886, 50416, 61398, 50418, 51136, 54657, 51246, 60342, 50960, 62115, 50970, 54156, 51064, 65216, 63208, 50430, 50960, 53860, 51246, 61075, 50960, 58853, 50970, 54431, 51136, 64562, 51032, 51191, 50442, 50947, 54465, 51136, 60954, 50947, 53886, 51136, 59096, 50947, 54199, 50960, 62309, 51064, 61630, 63208, 61894, 76328, 51064, 65000, 50970, 55105, 51444, 59993, 50970, 61083, 50960, 53383, 52562, 71699, 50929, 57766, 50986, 53705, 51504, 59992, 51064, 61300, 50960, 53980, 51504, 68273, 50947, 58344, 51136, 54434, 51246, 60812, 50960, 63956, 50970, 53938, 51064, 69008, 63208, 50454, 50960, 54199, 51246, 50905, 60533, 50874, 51067, 51157, 50417, 50947, 52734, 50970, 54252, 63079, 50425, 51292, 52992, 64667, 51438, 64627, 50947, 53911, 51444, 50874, 51067, 51380, 50435, 50947, 51724, 50970, 57366, 70182, 50443, 51292, 53044, 64667, 51438, 65586, 50947, 52843, 63614, 51292, 65371, 50947, 52863, 66805, 51067, 60864, 64836, 50799, 68864, 51316, 67075, 50929, 54611, 78349, 51067, 54347, 50947, 53881, 51169, 56739, 50947, 52658, 51076, 54112, 51316, 52729, 51444, 50874, 51067, 51267, 50441, 50947, 52711, 50970, 55876, 50947, 65261, 51292, 53068, 64667, 51438, 70842, 50947, 54424, 51444, 50874, 51067, 51312, 50459, 78129, 66474, 58172 ]

[ 0, 713, 5175, 25771, 2214, 6670, 10, 19448, 8, 3366, 219, 5466, 19, 63, 15352, 30054, 38668, 22052, 6, 18569, 6, 8, 36075, 8669, 6, 2800, 30, 41, 3459, 9590, 8, 21072, 4, 8504, 11, 230, 3694, 19, 10, 7212, 204, 73, 306, 20889, 6, 24, 5705, 25935, 1626, 227, 5, 40286, 2060, 8, 12608, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50455, 52457, 54232, 52376, 65267, 51831, 57059, 51652, 50828, 51667, 54943, 51721, 62519, 51643, 56904, 51633, 50828, 52113, 50846, 50799, 55825, 52121, 66451, 51717, 51821, 52337, 51701, 51293, 51716, 51313, 51993, 67425, 51406, 55048, 57772, 50855, 53321, 63223, 55240, 50839, 52111, 51987, 52641, 50852, 54995, 55004, 50841, 53666, 79714, 54101, 64938, 51633, 50882, 52224, 55365, 63136, 51643, 50890, 51570, 52100, 56691, 50836, 51572, 54940, 52875, 50832, 52823, 53528, 56370, 53045, 52743, 50832, 55004, 50836, 51647, 54940, 62356, 51633, 53875, 50852, 53225, 52786, 62107, 51993, 50840, 52215, 52539, 55971, 52372, 51029, 50799, 52072, 51353, 52009, 52151, 50791, 51406, 55048, 57772, 50855, 53321, 63223, 55240, 50839, 52111, 51987, 52641, 50852, 54995, 55004, 50841, 53666, 52953, 51993, 51141, 61258, 50867, 52224, 55365, 50867, 51570, 52100, 56691, 50836, 51572, 54940, 52875, 50832, 52823, 53528, 56370, 53045, 52743, 50832, 55004, 56269, 51633, 51508, 54940, 54232, 50852, 53225, 52786, 62107, 51652, 50830, 52215, 52539, 58077, 52185, 73361, 51821, 51293, 51716, 51293, 50799, 76454, 51667, 55325, 51406, 55048, 57772, 50855, 53321, 53403, 51993, 51196, 56443, 50839, 52111, 51987, 52641, 50852, 54995, 55004, 50841, 53666, 79714, 54101, 50867, 52224, 55365, 50867, 51570, 52100, 56691, 50836, 51572, 54940, 52875, 50832, 52823, 53528, 56370, 53045, 52743, 50832, 55004, 50836, 51647, 54940, 54232, 51831, 50863, 51652, 56192, 53225, 52786, 58958, 51667, 54814, 51721, 50828, 51643, 51700, 52539, 58077, 51633, 60634, 80182, 52009, 51151, 52072, 51151, 52113, 50895, 51993, 50883, 50799, 52372, 51041, 51406, 55048, 57772, 65600, 53128, 50961, 54761, 51352, 53321, 53403, 50816, 50840, 56443, 50839, 52111, 51987, 50825, 51694, 55051, 54995, 55004, 55739, 50816, 55004, 79714, 54101, 56030, 50816, 51700, 55365, 54077, 61718, 52100, 56691, 50836, 53525, 51421, 54940, 52875, 50816, 52240, 52823, 53528, 50816, 50855, 56370, 53045, 57723, 54061, 50911, 51899, 54701, 55004, 50836, 54706, 50880, 69099, 62356, 51633, 54418, 50816, 52625, 53225, 52786, 50863, 53206, 53696, 52539, 55971, 51716, 51313, 51821, 51445, 51701, 51293, 66451, 51717, 55825, 52121, 50799, 57170, 50880, 51993, 55311, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 54446, 52372, 54054, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 53291, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 51903, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 50863, 52215, 52539, 50820, 50799, 51821, 51313, 52072, 51359, 52009, 51313, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 50839, 52111, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 53291, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 53291, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 50863, 52215, 52539, 50820, 50799, 51821, 51445, 51716, 51313, 51701, 51313, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 50839, 52111, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 53291, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 51903, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 50863, 52215, 52539, 50820, 50799, 51821, 51293, 52009, 51313, 52072, 51359, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 63223, 55240, 50839, 52111, 51987, 52641, 57170, 54162, 66097, 54995, 55004, 55739, 57170, 55790, 79714, 54101, 56030, 57170, 51903, 55365, 54077, 57170, 53662, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 51903, 52823, 53528, 57170, 73242, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 55206, 53225, 52786, 55053, 51616, 52570, 50832, 52539, 55971, 51821, 51477, 51716, 51448, 51557, 52024, 50799, 51701, 51535, 66451, 52121, 55825, 52121, 51118, 53073, 57170, 53662, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 53403, 51262, 51041, 55240, 50839, 52111, 51987, 52641, 51752, 50808, 57170, 53662, 66097, 54995, 55004, 55739, 51262, 52823, 52953, 51752, 51582, 54101, 56030, 57170, 53291, 55365, 54077, 51752, 51016, 51262, 54749, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 53291, 52823, 53528, 51262, 51179, 55048, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 62356, 51752, 52643, 57170, 50880, 51195, 55064, 53225, 52786, 55053, 51223, 52139, 52539, 55971, 51752, 51238, 50799, 57170, 54162, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 53403, 51262, 51044, 55240, 50839, 52111, 51987, 58990, 53124, 53950, 57170, 53662, 66097, 54995, 55004, 50841, 53666, 57531, 51262, 56999, 53124, 51364, 51361, 54101, 56030, 57170, 53291, 55365, 50867, 51450, 50859, 58070, 56691, 66425, 51262, 50828, 51572, 54940, 52875, 57170, 53288, 52823, 53528, 51262, 51406, 55048, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 50880, 51262, 53708, 53225, 52786, 55053, 51250, 52240, 52539, 58077, 51616, 53002, 50461, 55825, 55277, 66451, 55408, 51557, 52149, 50799, 57170, 53662, 55043, 51406, 55048, 57772, 65600, 51118, 53073, 50417, 57170, 55790, 53403, 51262, 51044, 55240, 50839, 52111, 51987, 58990, 51752, 51620, 57170, 53662, 66097, 54995, 55004, 55739, 51262, 52079, 59278, 51752, 70565, 54101, 56030, 57170, 53291, 55365, 60633, 51752, 71889, 51262, 52259, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 57897, 52823, 53528, 51262, 51406, 55048, 53045, 57723, 51752, 52741, 71735, 55004, 50836, 51647, 54940, 62356, 51752, 52643, 57170, 50880, 51195, 55702, 53225, 52786, 58958, 64417, 52215, 52539, 55971, 51596, 51111, 50799, 57170, 54162, 55043, 51406, 55048, 57772, 60851, 57170, 55790, 53403, 51262, 51044, 55240, 58235, 51606, 50938, 52111, 51987, 52641, 57170, 53662, 66097, 54995, 55004, 55739, 51262, 55004, 59278, 51565, 51294, 51361, 54101, 56030, 57170, 53291, 55365, 54077, 51262, 53756, 50859, 58070, 56691, 50836, 51572, 54940, 52875, 57170, 53288, 52823, 53528, 51262, 51467, 55048, 53045, 52743, 71735, 55004, 50836, 51647, 54940, 54232, 57170, 50880, 51262, 55064, 53225, 52786, 55053, 51250, 51700, 52539, 58077, 51616, 53002, 50461, 51557, 51492, 50799, 66451, 53413, 55825, 52826, 57170, 53662, 55043, 51406, 55048, 57772, 65600, 51118, 52570, 50417, 57170, 54591, 63222, 51686, 55777, 51262, 51187, 55240, 50839, 52111, 51987, 58990, 51686, 52450, 57170, 52589, 66097, 54995, 55004, 55739, 51262, 55004, 59278, 51686, 50840, 51361, 54101, 56030, 57170, 53291, 55365, 60633, 51686, 52841, 51262, 52259, 50859, 58070, 56691, 50836, 51572, 54940, 60862, 51686, 52597, 57170, 53291, 52823, 53528, 51262, 51187, 55048, 53045, 57723, 51686, 52848, 71735, 55004, 50836, 51647, 54940, 62356, 51686, 52955, 57170, 50880, 51195, 52716, 53225, 52786, 55053, 51223, 52270, 52539, 55971, 51565, 50910, 50799, 57170, 54162, 55043, 51406, 55048, 57772, 60851, 57170, 54591, 63222, 51606, 52734 ]

[ 0, 713, 14899, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 1931, 21683, 10, 2365, 8, 15352, 30054, 16464, 4, 20, 6755, 12547, 8, 11006, 4122, 12, 1054, 330, 13305, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 3459, 13305, 6, 8, 17605, 9590, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 20902, 12447, 1001, 20889, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 12608, 6, 2060, 119, 1176, 406, 6, 230, 119, 406, 6, 8, 274, 119, 406, 6, 70, 624, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 66243, 52027, 50905, 50437, 51929, 50892, 50443, 51773, 78876, 51607, 51060, 50455, 51773, 79076, 51607, 55844, 50656, 50281, 56004, 52435, 53866, 51515, 52919, 51929, 53753, 59412, 68641, 66595, 50432, 56922, 53726, 50437, 55677, 51671, 50450, 51774, 53233, 50457, 53615, 51258, 51601, 52190, 65587, 52190, 58025, 52027, 58087, 56922, 51878, 51929, 51562, 50444, 51773, 58038, 51607, 51159, 79053, 51677, 52027, 51592, 54437, 51680, 51929, 51391, 51070, 51550, 50421, 50913, 50360, 51398, 65330, 53649, 52835, 50433, 51929, 51961, 50438, 50913, 52835, 53721, 59641, 50450, 53369, 54143, 52027, 51803, 51929, 52140, 51607, 51922, 63908, 63069, 52591, 52005, 58574, 52005, 59509, 51845, 53356, 51774, 51737, 50432, 52027, 51376, 51845, 51884, 50438, 61502, 52011, 51929, 51058, 63911, 52011, 50443, 51773, 69945, 62280, 52518, 51607, 51162, 65049, 52518, 50455, 55995, 51074, 51773, 51142, 56620, 51074, 50799, 57539, 55856, 52435, 54573, 51929, 51333, 52557, 58090, 51515, 53866, 51426, 60130, 68306, 56374, 50415, 57117, 52916, 50776, 50320, 50361, 50413, 50426, 52557, 52440, 52027, 65252, 51929, 51353, 50444, 52027, 63050, 51515, 56515, 52557, 66595, 55677, 52431, 52435, 57820, 55753, 57117, 63309, 50426, 72840, 51592, 50438, 51889, 51004, 50439, 51889, 66065, 51889, 51129, 50443, 51889, 57278, 51889, 51129, 50446, 51889, 68466, 51889, 51306, 50449, 51773, 50977, 51889, 58547, 51889, 51306, 50452, 51889, 51306, 50453, 51889, 52445, 50455, 51607, 50977, 51889, 52611, 50458, 61745, 52980, 50799, 68641, 52204, 51773, 51103, 54632, 52121, 52361, 51314, 51944, 51562, 52316, 55856, 51335, 57032, 50438, 51607, 51448, 52027, 51448, 51929, 51145, 51335, 63872, 51925, 53588, 50799, 51773, 51448, 51944, 51145, 52435, 51878, 51335, 66924, 50776, 50333, 57912, 50432, 51772, 52518, 50437, 51299, 65278, 50438, 55677, 54557, 51515, 52212, 51929, 51080, 51607, 51080, 51774, 51314, 52027, 52263, 50439, 51674, 51753, 51335, 58940, 50447, 51408, 51642, 50455, 51334, 51212, 50461, 51426, 65354, 77631, 55002, 56922, 57598, 54632, 52011, 51515, 51922, 51774, 55392, 51845, 65825, 50415, 51334, 53651, 50426, 54632, 69895, 50432, 52435, 53892, 52190, 52783, 50438, 52027, 53096, 52005, 60150, 50444, 54632, 53024, 50448, 52005, 57941, 50450, 52435, 52618, 50456, 52027, 54861, 50799, 54632, 50366, 52752, 63309, 50420, 51515, 51965, 50432, 51772, 55778, 50438, 52027, 51167, 56922, 51242, 52435, 51121, 51929, 51177, 50439, 51674, 51277, 50443, 51515, 62182, 51408, 67426, 52027, 51852, 51929, 51363, 56922, 51481, 51515, 52034, 51607, 52059, 52435, 51852, 50454, 51334, 51212, 79479, 51110, 52027, 51703, 51774, 51314, 51375, 77984, 50415, 54437, 51592, 51929, 51627, 51607, 51080, 50422, 51408, 59386, 51674, 51051, 50429, 51772, 56599, 50431, 52603, 68181, 52190, 52071, 50433, 51845, 51693, 50435, 51845, 51693, 50436, 51845, 57481, 51929, 51255, 51845, 56537, 50616, 51832, 50445, 52005, 57070, 50450, 51929, 52431, 58933, 55776, 53369, 51679, 52027, 51490, 51774, 52783, 51925, 56599, 50453, 52005, 54618, 50461, 54437, 51703, 50799, 52005, 74553, 50419, 53369, 55812, 50425, 52027, 51126, 50431, 51774, 50972, 50437, 61502, 50932, 63911, 54498, 53369, 53697, 51774, 51753, 52603, 52996, 51929, 69279, 54632, 53024, 52027, 52518, 50449, 62280, 52460, 65049, 52460, 50450, 53369, 52782, 51774, 50891, 52361, 52731, 50456, 55995, 51884, 53369, 51074, 54632, 51737, 51607, 51254, 52435, 51470, 51929, 50974, 56620, 52063, 50799, 62280, 51166, 52557, 54344, 52361, 54298, 57117, 51679, 52435, 52025, 51515, 51703, 51375, 76492, 65049, 51166, 50415, 50776, 50321, 68086, 50420, 55995, 51884, 51607, 52063, 56620, 51884, 50426, 51772, 51174, 51929, 51490, 52557, 53024, 50427, 57539, 66595, 68306, 53678, 50432, 51256, 50892, 57117, 51318, 51774, 65668, 52435, 51199, 50439, 51674, 72044, 52435, 53753, 55677, 51677, 52557, 53380, 51929, 51183, 51515, 50981, 51375, 53801, 50456, 51256, 51481, 50799, 72840, 52048, 52027, 50912, 50415, 51674, 50942, 50425, 72840, 51679, 50426, 51674, 51312, 52027, 52528, 51929, 52034, 50438, 69338, 51314, 51674, 50987, 51929, 51562, 55677, 51448, 50444, 51408, 50987, 51773, 57006, 51334, 51159, 50451, 51607, 51112, 50461, 55677, 52263, 50799, 72720, 51447, 52435, 51283, 51773, 51295, 52361, 51535, 51944, 51295, 52405, 57912, 50415, 51934, 51295, 74488, 53055, 50433, 52031, 51212, 50437, 69338, 51080, 52838, 63160, 50438, 54632, 51627, 51929, 51448, 52603, 51562, 51607, 51295, 52027, 51878, 50439, 51334, 51183, 68306, 53055, 50799, 51408, 51183, 55677, 51671, 52361, 51419, 52435, 51419, 51773, 51351, 51944, 51351, 52405, 52147, 74488, 53801, 50415, 72720, 65680, 51334, 51003, 54632, 51627, 52027, 52263, 52838, 52212, 50439, 69338, 51047, 51929, 51562, 51607, 51749, 52603, 51562, 68306, 56308, 50450, 54050, 51221, 50451, 51334, 51003, 50799, 51690, 55597, 60285, 56004, 50415, 60750, 52096, 51674, 51293, 51515, 51353, 56922, 52121, 54632, 55856, 52327, 51293, 51929, 51662, 51607, 51293, 50439, 51774, 53801, 50444, 52027, 53577, 50450, 51929, 50914, 54050, 51592, 50799, 51929, 51080, 50416, 51515, 51466, 50418, 52027, 58468, 50419, 51774, 52025, 50421, 51674, 55656, 51774, 54344, 50428, 52031, 51413, 50432, 51515, 51166, 50437, 51434, 51003, 52257, 56656, 58048, 51466, 50449, 51929, 51267, 54050, 79308, 51934, 51006, 68306, 52011, 50456, 51334, 62533, 61745, 51524, 50799, 61502, 52337, 51774, 52826, 54437, 53082, 52027, 53753, 52603, 51592, 51929, 53753, 51607, 53753, 51811, 55856, 68611, 62321, 50415, 51674, 51003, 50427, 51772, 51307, 50450, 52603, 51692, 51845, 52835, 50456, 51845, 51306, 50799, 51845, 54654, 51929, 51183, 54050, 51677, 51925, 50932, 50437, 60285, 52518, 50438, 52031, 50977, 52557, 53306, 51515, 50838, 54437, 63323, 51934, 50865, 51774, 51074, 51434, 50977, 58048, 50972, 50449, 52027, 52063, 50450, 51929, 50937, 52603, 51199, 68306, 51642, 50451, 51334, 51162, 50455, 51773, 55670, 51774, 50972, 59017, 51079, 50799, 57117, 52121, 52557, 51314, 54632, 51243, 51515, 52250, 52435, 51806, 51690, 52503, 56620, 56004, 50415, 60750, 51313, 51893, 51492, 50426, 52435, 54249, 50438, 52557, 58651, 50450, 52603, 53487, 50454, 53615, 66585, 53615, 51000, 50799, 56939, 52147, 53615, 53161, 50415, 66324, 51742, 54632, 52727, 50425, 51774, 54573, 50437, 68306, 61489, 50438, 51929, 51709, 53506, 55586, 50439, 70779, 51148, 52435, 52598, 50450, 52557, 51108, 51929, 51312, 50456, 52031, 51884, 50799, 51929, 51449, 51660, 51592, 51773, 51748, 52557, 52188, 54437, 52121, 51434, 51748, 58048, 52988, 50776, 50324, 66898, 50415, 52004, 51486, 53089, 52503, 50416, 70677, 51293, 50425, 52557, 60237, 50437, 51774, 52212, 50450, 51660, 53697, 50799, 52361, 51922, 51774, 50827, 52603, 52335, 51660, 51714, 51929, 52062, 51607, 51714, 50720, 50305, 52147, 50415, 54503, 51177, 56939, 52147, 50416, 66324, 51803, 52435, 52407, 50424, 52004, 51100, 50433, 51893, 78259, 51774, 51576, 50439, 53506, 55586, 67544, 52147, 50440, 70779, 51145, 50442, 52031, 51177, 50449, 51774, 68832, 51334, 51108, 50799, 58933, 50972, 51515, 51199, 53369, 51277, 52327, 51124, 50415, 51893, 52122, 50416, 60285, 53678, 50417, 69338, 52121, 52838, 54270, 50419, 50776, 50321, 57912, 50420, 58933, 51269 ]

[ 0, 250, 33928, 8, 19448, 1619, 3495, 2214, 4246, 10, 6755, 12547, 6, 2382, 3459, 8669, 6, 13305, 6, 21979, 8669, 6, 8, 18558, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 1328, 4, 20, 33215, 16739, 9, 12608, 119, 1176, 406, 6, 381, 6, 8, 83, 3639, 7, 63, 32625, 13569, 9862, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 56540, 51091, 55057, 56446, 51271, 53402, 51011, 51091, 57702, 57110, 63545, 56540, 51091, 55057, 56446, 51271, 53402, 51011, 69127, 51011, 53484, 51415, 64918, 57110, 63545, 50799, 54445, 51091, 51271, 51091, 55057, 56446, 55699, 50830, 51271, 53402, 59440, 51091, 51011, 51091, 57702, 57098, 55699, 64603, 63545, 50799, 54445, 50967, 51271, 51091, 50422, 52123, 51358, 55057, 56446, 50927, 53402, 51011, 69127, 51011, 53484, 51271, 56230, 57098, 51011, 56388, 52089, 50830, 63868, 50799, 51555, 62220, 65183, 51555, 54982, 56446, 50953, 53402, 50927, 51091, 50442, 52123, 58647, 54308, 64918, 57110, 55699, 51358, 63868, 52563, 51091, 55057, 56446, 51415, 53402, 51271, 69127, 51271, 53484, 51817, 56230, 57098, 51271, 56388, 51415, 50830, 52288, 66128, 54445, 53244, 54445, 64918, 56446, 52123, 50967, 50927, 53402, 51011, 51091, 50442, 52089, 58647, 51584, 54982, 57110, 63545, 50799, 51555, 50967, 50927, 71587, 52089, 50918, 50927, 53244, 51228, 64918, 56446, 51228, 53402, 50927, 52728, 51105, 54982, 57110, 52623, 50830, 50799, 52041, 50967, 51019, 51091, 50422, 54308, 52910, 50843, 56446, 51019, 53402, 53444, 50807, 51415, 63419, 52123, 64918, 57110, 52041, 50918, 73070, 53534, 52910, 51069, 50807, 51279, 61725, 52958, 51205, 50807, 51324, 61725, 53166, 51228, 50807, 51360, 61725, 63343, 54445, 50830, 50799, 54445, 51291, 50927, 51091, 51120, 64270, 52976, 73172, 50944, 51043, 65198, 50843, 63795, 59440, 51091, 63868, 79062, 50944, 51134, 50850, 67082, 51069, 51291, 51279, 64270, 53166, 55699, 50967, 50848, 51397, 50944, 51397, 50850, 51397, 50843, 63343, 54445, 50807, 52288, 51091, 51120, 51562, 50801, 61183, 52123, 51358, 57189, 51043, 50944, 51043, 65198, 50843, 63795, 63868, 51120, 50942, 70985, 50944, 60069, 54975, 69742, 51841, 61725, 60966, 61375, 69946, 50850, 56060, 51213, 50807, 51966, 51003, 70985, 50944, 60069, 68753, 50908, 52563, 51091, 51214, 51562, 50848, 69139, 50935, 58435, 54213, 51555, 51631, 51555, 50967, 73172, 65806, 50935, 76985, 63795, 51555, 50967, 65343, 51214, 50942, 79062, 75242, 50935, 51134, 53758, 51091, 51799, 51562, 50801, 72536, 52123, 52728, 73172, 65806, 50935, 76985, 67827, 54308, 64603, 63868, 51799, 50942, 79062, 75242, 50935, 51134, 50799, 55699, 51358, 50953, 51091, 51214, 51562, 50801, 52976, 73172, 65806, 50935, 76985, 63795, 65343, 51214, 50942, 50848, 69139, 74032, 53758, 51091, 51799, 64270, 60966, 61375, 59629, 50935, 56060, 73172, 65806, 50935, 76985, 54038, 54445, 59831, 61375, 59629, 50799, 54445, 51291, 50927, 51091, 51799, 51562, 70985, 50944, 60069, 58435, 52976, 73172, 50944, 51043, 65198, 50843, 63795, 52123, 50830, 63868, 51799, 50942, 79062, 50944, 51134, 50850, 67082, 52089, 51091, 69742, 51841, 61725, 53166, 51213, 50807, 51966, 51003, 70985, 50944, 60069, 68753, 67827, 51584, 50967, 50799, 51584, 62220, 51091, 51214, 51562, 50848, 69139, 50935, 58435, 52976, 51555, 50967, 73172, 65806, 50935, 76985, 63795, 54308, 50918, 65343, 51214, 50942, 50848, 69139, 74032, 53758, 51091, 51799, 64270, 60966, 61375, 59629, 50935, 56060, 50848, 69139, 50935, 68753, 63343, 63868, 53534, 51091, 51279, 51562, 51017, 74794, 60069, 58435, 54213, 54445, 51631, 54445, 50967, 51017, 51043, 67477, 65198, 50843, 63795, 52041, 50967, 78687, 51279, 50942, 51017, 51134, 72981, 50850, 67082, 51205, 50967, 54637, 61725, 72536, 52089, 52728, 51228, 50967, 52759, 51003, 51017, 51043, 67477, 65198, 50843, 67827, 52041, 72576, 51017, 50878, 59227, 61302, 52288, 51091, 51799, 51183, 70985, 50944, 60069, 58435, 72364, 52123, 51161, 57189, 51043, 50944, 51043, 65198, 50843, 63795, 63868, 70985, 50944, 60069, 54975, 51069, 51091, 53667, 64270, 60966, 61375, 69946, 50850, 56060, 70985, 50944, 60069, 68753, 63343, 78687, 52288, 50807, 51799, 51003, 61542, 70800, 50850, 60981, 52976, 51069, 50807, 53667, 51003, 51688, 50981, 62443, 52332, 51466, 50801, 59773, 52958, 51205, 52530, 50279, 50943, 51791, 51003, 75831, 51615, 51330, 50801, 60966, 51326, 53166, 54445, 51090, 51228, 53177, 50281, 50889, 52540, 50943, 73132, 51656, 51097, 57337, 51003, 56131, 61725, 50368, 52082, 59773, 50908, 50799, 54445, 52282, 50927, 51541, 51027, 51991, 50899, 51991, 50989, 51991, 59911, 67766, 62781, 52332, 51445, 51656, 51445, 51838, 51445, 57337, 51692, 56131, 51692, 50801, 52348, 50870, 56400, 52872, 73420, 50944, 51178, 50850, 51178, 51268, 51314, 51023, 51314, 51185, 51314, 50804, 51539, 52520, 56565, 78770, 50848, 51241, 50944, 51241, 50850, 76102, 55379, 51069, 51541, 50801, 52348, 59144, 59440, 77778, 55699, 72701, 51127, 50944, 51127, 50850, 51127, 51268, 51314, 51023, 51314, 51185, 51314, 57337, 50878, 56131, 54566, 51539, 52275, 57208, 57337, 51043, 56131, 77055, 51069, 51033, 51027, 50910, 75902, 50989, 50910, 50799, 54445, 52282, 50927, 51541, 51027, 51264, 50899, 51264, 50989, 51264, 51656, 51445, 51838, 51445, 53129, 51445, 57337, 51397, 56131, 75048, 52348, 50870, 56400, 52872, 73420, 50944, 51178, 50850, 51178, 51268, 51314, 51023, 51314, 51185, 51314, 50804, 51539, 52520, 56565, 78770, 59911, 67766, 50850, 59348, 55379, 51069, 52195, 50801, 52348, 56453, 61995, 71046, 50850, 58460, 52123, 62477, 51127, 50944, 51127, 50850, 51127, 51268, 51642, 51023, 51642, 51185, 51642, 57337, 50915, 56131, 56951, 51539, 52275, 56399, 51268, 51679, 51023, 51679, 51185, 51679, 50799, 52089, 51167, 50927, 51541, 51027, 51264, 50899, 51264, 50989, 51264, 51838, 51445, 53129, 51445, 52430, 51445, 57337, 51043, 56131, 78460, 52348, 58409, 51584, 51196, 56131, 51452, 54707, 51452, 50856, 52872, 73420, 50944, 51178, 50850, 51178, 51268, 51314, 51023, 51314, 51185, 51314, 50804, 51539, 52520, 56565, 78770, 50848, 51241, 50944, 51241, 50850, 76102, 55379, 51019, 67812, 52348, 56453, 52089, 77778, 51213, 51090, 59911, 67766, 62781, 51268, 51108, 51023, 51108, 51185, 51108, 56131, 50878, 54707, 54566, 51539, 52275, 57208, 52041, 51379, 57337, 51043, 56131, 51043, 50799, 52123, 52282, 50953, 53177, 50315, 56831, 64539, 50943, 59911, 61983, 51020, 51108, 51208, 51108, 51185, 51108, 52137, 51097, 53499, 51097, 52886, 51097, 54997, 51047, 55646, 61774, 52348, 50870, 56400, 52872, 51213, 53177, 50314, 63057, 65333, 50943, 73132, 67766, 51268, 51108, 51193, 51108, 51385, 51108, 53129, 51097, 52735, 51097, 53976, 59975, 51539, 52520, 50820, 55703, 51129, 55208, 53177, 50315, 56831, 64539, 51178, 73420, 67069, 51020, 51108, 51208, 51108, 51185, 51108, 52137, 51097, 53499, 51097, 52886, 68108, 52348, 56453, 51042, 50925, 61995, 50847, 58460, 51325, 53177, 50316, 63161, 57680, 66061, 50943, 77569, 51281, 51314, 51092, 51314, 51546, 51314, 53188, 51097, 52626, 51097, 54339, 59975, 51539, 52275, 50820, 53534, 51541, 50877, 51605, 51028, 51605, 50968, 51605, 73132, 60104, 62781, 52430, 52337, 53976, 52337, 53828, 52337, 52456, 53601, 51855, 53601, 52655, 53601, 50801, 52348, 50870, 56400, 52872, 51017, 51178, 50868, 51178, 50850, 51178, 51023, 51314, 51385, 51314, 51403, 51314, 50804, 51539, 52520, 56565, 54445, 51054, 51011, 51033, 51017, 50925, 66853, 50850, 55690, 55379, 51019, 51541, 73132, 60104, 50850, 59250, 52348, 56453, 53444, 75500, 73132, 60104, 62781, 51023, 51314, 51385, 51314, 51403, 51314, 50804, 51539, 52275, 57208, 52041, 51354, 50458 ]

[ 0, 713, 8787, 5175, 15229, 1931, 21683, 10, 32625, 13569, 9862, 6, 1969, 13, 26545, 8, 20183, 4, 590, 10, 23758, 3938, 20889, 8, 278, 11, 5, 762, 9, 274, 538, 6, 24, 1575, 10, 24897, 3222, 5785, 9, 30062, 620, 7085, 12280, 642, 6, 38668, 11212, 6, 6755, 12547, 6, 38668, 22052, 6, 8, 3459, 9590, 4, 20, 16331, 33215, 16739, 9, 230, 6, 163, 428, 6, 8, 274, 3639, 7, 63, 3366, 219, 8, 15352, 30054, 16426, 6, 442, 24, 41, 5631, 11379, 13, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 78940, 55728, 51614, 52115, 52769, 53471, 51515, 51631, 51434, 54253, 52027, 51736, 51774, 53505, 52557, 51646, 51774, 54789, 52027, 51918, 51434, 53658, 51515, 51798, 52769, 55000, 51614, 51923, 52769, 54093, 51515, 50795, 76056, 55728, 52027, 52115, 51774, 53471, 52557, 51631, 51774, 54253, 52027, 51736, 51434, 53505, 51515, 51646, 52769, 54789, 51614, 51918, 52769, 53658, 51515, 51798, 51434, 55000, 52027, 51923, 51774, 54093, 52557, 50795, 66629, 55728, 52027, 52115, 51434, 53471, 51515, 51631, 52769, 54253, 51614, 51736, 52769, 53505, 51515, 51646, 51434, 54789, 52027, 51918, 51774, 50795, 64885, 52337, 55793, 52337, 54720, 52337, 66681, 52382, 52471, 52382, 50447, 52557, 51798, 51774, 55000, 52027, 51923, 51434, 54093, 51515, 50795, 78940, 55728, 51614, 52115, 52769, 53471, 51515, 51631, 51434, 54253, 52027, 51736, 51774, 53505, 52557, 51646, 51774, 54789, 52027, 51918, 51434, 53658, 51515, 51798, 52769, 55000, 51614, 72623, 52735, 51671, 50744, 50326, 51036, 53909, 51036, 50456, 52769, 54093, 51515, 50795, 76056, 55728, 52027, 52115, 51774, 53471, 52557, 51631, 51774, 54253, 52027, 51736, 51434, 53505, 51515, 51646, 52769, 54789, 51614, 51918, 52769, 53658, 51515, 51798, 51434, 55000, 52027, 51923, 51774, 61393, 52626, 51671, 50744, 50328, 51036, 53372, 51036, 50459, 52557, 50795, 66629, 55728, 52027, 52115, 51434, 53471, 51515, 51631, 52769, 54253, 51614, 51736, 52769, 53505, 51515, 51646, 51434, 54789, 52027, 51918, 51774, 53658, 52557, 51798, 51774, 55000, 52027, 51923, 51434, 54093, 51515, 50795, 54307, 55174, 50460, 52886, 55174, 50744, 50330, 52045, 50744, 50335, 52045, 54155, 52045, 56141, 52045, 78940, 55728, 51614, 52115, 52769, 53471, 51515, 51631, 51434, 54253, 52027, 51736, 51774, 53505, 52557, 51646, 51774, 54789, 52027, 51918, 51434, 53658, 51515, 51798, 52769, 55000, 51614, 51923, 52769, 54093, 51515, 50795, 76056, 55728, 52027, 52115, 51774, 53471, 52557, 51631, 51774, 54253, 52027, 51736, 51434, 53505, 51515, 51646, 50964, 51218, 50847, 51290, 50979, 51016, 72985, 53715, 67366, 50803, 53165, 52720, 52277, 52720, 50439, 54614, 52720, 50444, 54969, 51294, 51170, 54721, 52650, 51400, 51065, 61944, 55065, 54194, 50953, 51218, 78000, 50909, 51238, 50979, 51112, 52697, 51226, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50909, 75504, 50847, 51933, 53267, 51894, 51065, 55771, 55065, 69264, 50979, 51933, 50423, 50885, 51692, 50426, 51443, 50943, 53449, 50979, 51158, 50909, 51177, 50852, 50374, 52094, 52658, 51065, 53614, 50964, 51218, 50979, 51090, 50847, 51013, 50909, 61986, 55920, 51170, 54721, 51065, 55771, 55065, 54194, 51443, 51241, 50979, 51413, 50847, 51291, 50909, 51103, 50852, 50374, 52094, 51123, 66790, 59532, 54681, 55228, 51134, 51065, 63685, 55065, 53450, 51443, 50943, 54969, 51109, 51065, 52739, 53267, 51354, 51065, 54123, 51096, 51218, 68100, 62197, 50939, 51013, 52890, 57169, 50803, 52364, 52720, 55348, 52720, 52842, 52720, 50444, 56456, 50915, 51170, 54721, 53472, 50915, 51065, 61944, 55065, 54194, 50945, 51241, 50848, 51073, 76158, 50939, 51016, 53118, 52282, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50939, 52903, 50419, 50872, 52045, 50420, 51065, 55771, 55065, 69264, 50848, 53090, 50422, 51037, 53380, 50426, 50945, 50943, 50848, 51158, 50872, 51177, 50939, 51215, 51065, 52658, 51065, 53614, 51096, 51218, 59762, 69427, 50939, 73841, 55920, 56456, 51351, 51170, 54721, 56265, 51552, 51065, 55771, 55065, 54194, 50945, 51218, 50939, 51291, 50872, 51535, 50848, 51077, 53715, 51573, 50852, 50374, 52094, 51123, 66790, 59532, 54681, 53472, 51294, 51065, 63685, 55065, 53450, 52936, 51121, 51065, 52739, 51443, 69387, 54123, 50964, 51218, 50847, 66053, 51013, 68456, 53715, 51173, 72850, 53165, 52720, 52277, 52720, 54614, 52720, 50444, 54969, 51021, 51170, 54721, 52650, 50387, 52268, 61944, 55065, 54194, 50953, 51241, 50979, 51090, 50847, 50896, 70582, 53000, 51573, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50909, 75504, 50847, 51933, 52697, 51977, 51065, 55771, 55065, 69264, 50979, 51933, 50423, 50885, 51692, 50426, 50953, 51241, 71766, 50909, 51192, 50979, 51379, 50852, 50374, 52094, 52658, 51065, 53614, 50964, 51218, 50979, 51016, 61983, 50909, 53305, 55920, 51170, 54721, 51065, 55771, 55065, 54194, 51443, 51241, 50979, 51343, 50847, 51749, 50909, 51413, 50852, 50374, 52094, 51123, 50799, 53000, 52097, 51065, 59532, 54681, 51065, 63685, 55065, 53450, 51443, 77659, 52739, 54254, 51460, 51065, 54123, 51096, 51218, 59769, 59504, 50939, 51016, 52697, 51552, 72850, 52364, 52720, 50439, 52842, 52720, 55348, 52720, 50444, 56456, 51255, 51170, 54721, 53472, 77659, 61944, 55065, 54194, 50945, 51241, 78114, 50939, 51073, 50848, 50807, 53118, 52266, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50939, 52903, 50419, 50872, 52045, 50420, 51065, 55771, 55065, 69264, 50848, 53090, 50422, 51037, 53380, 50426, 50945, 50943, 79840, 50939, 51158, 50872, 51337, 51065, 52658, 51065, 53614, 51096, 51218, 50848, 51591, 50872, 51803, 50939, 51685, 50801, 55920, 51170, 54721, 51065, 55771, 55065, 54194, 50953, 51121, 55228, 51178, 50852, 50374, 52094, 51123, 52354, 50873, 56456, 72807, 59532, 54681, 51105, 50873, 56265, 51173, 51065, 63685, 55065, 53450, 50927, 60935, 59925, 51277, 50872, 51277, 53715, 51192, 50852, 50374, 52094, 52739, 51096, 50873, 53472, 50923, 51065, 54123, 50964, 51218, 50847, 51016, 50909, 51090, 50979, 51294, 53715, 67366, 50803, 52277, 52720, 54614, 52720, 50439, 53165, 52720, 50444, 54969, 51204, 51170, 54721, 52650, 51377, 51065, 61944, 55065, 54194, 50953, 51218, 50979, 51090, 50909, 68941, 50807, 52697, 51541, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50909, 75504, 50847, 51933, 53267, 51336, 51065, 55771, 55065, 69264, 50979, 51933, 50423, 50885, 51692, 50426, 51443, 66061, 51060, 73237, 50909, 51192, 51065, 52658, 51065, 64662, 52072, 51492, 53853, 52720, 56107, 51218, 50979, 51016, 68898, 50909, 53305, 55920, 55228, 51109, 51170, 54721, 53472, 51203, 51065, 55771, 55065, 54194, 51443, 51241, 50979, 51285, 50847, 51291, 50909, 51413, 54969, 52097, 50852, 50374, 52094, 51123, 66790, 59532, 54681, 51065, 63685, 55065, 53450, 51443, 77659, 52739, 53267, 50387, 52268, 67560, 52890, 54292, 51096, 51218, 69427, 50848, 51090, 50939, 50807, 53267, 50894, 52890, 74749, 57149, 52364, 52720, 52842, 52720, 55348, 52720, 50444, 56456, 51790, 51170, 54721, 53472, 50983, 51065, 61944, 55065, 54194, 50945, 51241, 78762, 50939, 72701, 50896, 53118, 51605, 50852, 50374, 52094, 51022, 66790, 55771, 50859, 50418, 50939, 52903, 50419, 50872, 52045, 50420, 51065, 55771, 55065, 69264, 50848, 53090, 50422, 51037, 53380, 50426, 50945, 50943, 50872, 59925, 51158, 50939, 51192, 51065, 52658, 51065, 53614, 51096, 51218, 50848, 67949, 51097, 50939, 61986, 55920, 56456, 51203, 51170, 54721, 56265, 50967, 51065, 55771, 55065, 54194, 50945, 51218, 50939, 51413, 50872, 51080, 50848, 50918, 53715, 71779, 50374, 52094, 51123, 51716, 51291, 52901, 52136, 66790, 59532, 54681, 53472, 51055, 51065, 63685, 55065, 53450, 52936, 51121, 51065, 50827, 53853, 52720, 50427, 52072, 51492, 50432, 51443, 50873, 55228, 51295, 51065, 54123, 50964, 51218, 50979, 51226, 77830, 50909 ]

[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 2125, 16, 17407, 30, 63, 27841, 139, 20889, 8, 5425, 112, 73, 306, 86, 6543, 4, 20, 12280, 3275, 1725, 3109, 6, 2342, 4467, 6, 8, 6755, 12547, 35810, 561, 41, 9066, 5797, 990, 1506, 9, 2369, 6, 7630, 14805, 3156, 9, 814, 8, 11926, 4, 8504, 11, 5, 762, 9, 163, 3694, 6, 5, 33215, 16739, 9, 163, 119, 6, 211, 6, 163, 406, 73, 495, 10431, 6, 163, 119, 6, 8, 3676, 401, 3639, 5581, 7, 5, 822, 12, 3341, 5466, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52552, 50638, 52202, 51312, 51357, 51312, 50799, 51789, 51742, 51266, 51742, 50426, 51301, 50987, 51088, 50987, 51357, 51312, 52740, 50892, 52416, 50892, 52205, 50892, 54081, 54100, 51491, 50987, 51113, 50987, 53322, 50892, 53731, 50892, 52662, 50892, 53382, 53913, 51088, 51312, 51357, 51312, 51266, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51565, 50987, 51182, 50987, 51491, 51312, 51113, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 51686, 50987, 51284, 50987, 50799, 52156, 51312, 51301, 51312, 51088, 51312, 51558, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 52161, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 51789, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 51357, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 51686, 51312, 51491, 51312, 51395, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 66791, 51312, 51301, 51312, 51266, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51673, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 52156, 51312, 51088, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 52480, 51312, 51491, 51312, 51600, 51312, 51284, 51312, 51811, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 50799, 52433, 51312, 51301, 51312, 51357, 51312, 51182, 51312, 51733, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51886, 50987, 51384, 50987, 51491, 51312, 51113, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51673, 50987, 51304, 58346, 52156, 50987, 51558, 50987, 51088, 51312, 51088, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 59242, 51673, 50987, 51304, 58038, 51686, 50987, 51284, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 52156, 50987, 51558, 50987, 66791, 50987, 51182, 50987, 51301, 51312, 51357, 51312, 51266, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 60115, 51686, 50987, 51284, 58192, 52083, 50987, 51600, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51565, 50987, 51182, 58346, 51789, 50987, 51266, 50987, 51088, 51312, 51266, 51312, 51357, 51742, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51596, 50987, 51107, 50987, 51491, 51312, 51600, 51312, 53322, 50981, 53731, 50981, 52205, 50981, 54081, 50981, 60914, 58667, 51789, 50987, 51266, 50987, 72849, 51312, 51301, 51312, 51093, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 50981, 53382, 60115, 51093, 58192, 51686, 51312, 51113, 50987, 51491, 51312, 51284, 51312, 51107, 51310, 53322, 50981, 53731, 50981, 52662, 50981, 53382, 50981, 54066, 57547, 51357, 58346, 52202, 51312, 51088, 51312, 51088, 51312, 51357, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 54066, 59242, 51093, 58038, 51596, 51312, 51357, 50987, 51491, 51312, 51113, 51312, 51107, 51312, 53322, 50981, 53731, 50981, 52205, 50981, 54081, 50981, 54066, 58667, 51113, 50987, 66791, 51312, 51301, 51312, 51088, 51312, 51357, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51673, 51312, 51299, 51312, 51266, 51312, 51182, 51312, 51304, 51312, 52550, 50981, 51975, 50981, 52416, 50981, 52205, 56692, 52156, 50834, 51251, 51312, 51107, 51312, 51182, 51312, 51558, 51312, 52573, 50981, 52044, 50981, 52205, 50981, 54081, 50981, 50440, 51673, 55604, 52156, 59808, 51673, 52986, 52156, 57728, 51673, 54847, 51686, 58078, 52156, 53057, 51686, 50987, 51284, 50987, 52371, 51312, 51093, 51312, 51600, 51312, 55061, 50981, 52573, 50981, 53322, 50981, 52242, 58667, 51565, 50987, 51182, 50987, 66791, 51677, 51699, 51312, 51182, 51677, 51357, 51677, 51107, 51677, 53029, 50981, 52049, 50981, 52797, 50981, 52044, 58326, 52371, 51312, 55061, 50981, 52573, 50981, 53322, 50981, 52242, 56692, 52776, 50981, 59112, 50981, 53029, 50981, 53895, 50981, 52573, 57105, 52202, 51312, 51357, 51312, 50799, 51789, 51742, 51266, 51742, 50426, 51301, 50987, 51088, 50987, 51357, 51312, 52740, 50892, 52416, 50892, 52205, 50892, 54081, 54100, 51491, 50987, 51113, 50987, 53322, 50892, 53731, 50892, 52662, 50892, 53382, 53913, 51088, 51312, 51357, 51312, 51266, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51565, 50987, 51182, 50987, 51491, 51312, 51113, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 51686, 50987, 51284, 50987, 50799, 52156, 51312, 51301, 51312, 51088, 51312, 51558, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 52161, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 51789, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 51357, 51677, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 51686, 51312, 51491, 51312, 51395, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 66791, 51312, 51301, 51312, 51266, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51673, 51312, 51491, 51312, 51113, 51312, 51395, 51312, 51304, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 56692, 52156, 51312, 51088, 51312, 51088, 51312, 51266, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 57105, 52480, 51312, 51491, 51312, 51600, 51312, 51284, 51312, 51811, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 50981, 50799, 52433, 51312, 51301, 51312, 51357, 51312, 51182, 51312, 51733, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 58326, 51886, 50987, 51384, 50987, 51491, 51312, 51113, 51312, 51284, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51673, 50987, 51304, 58346, 52156, 50987, 51558, 50987, 51088, 51312, 51088, 51312, 51558, 51312, 52049, 50981, 52205, 50981, 54081, 50981, 60914, 59242, 51673, 50987, 51304, 58038, 51686, 50987, 51284, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 58667, 52156, 50987, 51558, 50987, 66791, 50987, 51182, 50987, 51301, 51312, 51357, 51312, 51266, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 60115, 51686, 50987, 51284, 58192, 52083, 50987, 51600, 50987, 51491, 51312, 51113, 51312, 51395, 51312, 53322, 50981, 53731, 50981, 52662, 50981, 60914, 57547, 51565, 50987, 51182, 58346, 51789, 50987, 51266, 50987, 51088, 51312, 51266, 51312, 51357, 51742, 52049, 50981, 52205, 50981, 54081, 50981, 57082, 59242, 52083, 50987, 51600, 58038, 51596, 50987, 51107, 50987, 51491, 51312, 51600, 51312, 53322, 50981, 53731, 50981, 52205, 50981, 54081, 50981, 60914, 58667, 51789, 50987, 51266, 50987, 72849, 51312, 51301, 51312, 51093, 51312, 51182, 51312, 52740, 50981, 52416, 50981, 52205, 50981, 54081, 50981, 53382, 60115, 51093, 58192, 51686, 51312, 51113, 50987, 51491, 51312, 51284, 51312, 51107, 51310, 53322, 50981, 53731, 50981, 52662, 50981, 53382, 50981, 54066 ]

[ 0, 713, 17627, 17274, 5175, 2214, 11, 381, 538, 22750, 1626, 11098, 8, 10563, 4, 590, 10, 20889, 9, 22619, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 2877, 4, 20, 15352, 30054, 15229, 1575, 10, 16331, 33215, 16739, 9, 163, 6, 381, 6, 83, 6, 8, 381, 6, 6946, 10, 1472, 9, 2365, 7125, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 50799, 56514, 55649, 56514, 53442, 56514, 56385, 51068, 53989, 51872, 50386, 53967, 50961, 50799, 56514, 56621, 56514, 55649, 56514, 53442, 50816, 50381, 54176, 51031, 60309, 53068, 51068, 53989, 52100, 50386, 53967, 55891, 50801, 58318, 51031, 53534, 51388, 52487, 52096, 55283, 51353, 52945, 52121, 55102, 51293, 51913, 50993, 52002, 51066, 59669, 51603, 58809, 51467, 52139, 64430, 50837, 52197, 50890, 51548, 50865, 51219, 50873, 51288, 51030, 68980, 52197, 50887, 51548, 50862, 51288, 50834, 51219, 53901, 66402, 58809, 51467, 51877, 50884, 52197, 50818, 57768, 51219, 50911, 51288, 52309, 72488, 51471, 52197, 65452, 51548, 50865, 77593, 51219, 55122, 51213, 50879, 58809, 51467, 52139, 50834, 52197, 54989, 66402, 53170, 50923, 52310, 50923, 51762, 52197, 50887, 51288, 66111, 61495, 51288, 50911, 51548, 51798, 51213, 50924, 54556, 50802, 52425, 50802, 58809, 51467, 52139, 50884, 52197, 50930, 51219, 55764, 62994, 52991, 51138, 51648, 51138, 51983, 52197, 50880, 51548, 50857, 51219, 60870, 56417, 51151, 52888, 51151, 52288, 51388, 58809, 51467, 52139, 50834, 52107, 54402, 54556, 50823, 52425, 50823, 51471, 52107, 52329, 59674, 58809, 51467, 51877, 50884, 52107, 52359, 77764, 53170, 51045, 52310, 51045, 51471, 52107, 50809, 51529, 50845, 58058, 51075, 53470, 51205, 50879, 58809, 51467, 52139, 50834, 52107, 50809, 51075, 50924, 51529, 50873, 51288, 51918, 59674, 52002, 50823, 51913, 50823, 51762, 52107, 50809, 51529, 50917, 58058, 62173, 75439, 51205, 50924, 58809, 51467, 52139, 50884, 52107, 50809, 51529, 50873, 51075, 50879, 51288, 52961, 64840, 51970, 52107, 50890, 51288, 50812, 51622, 50830, 52874, 65706, 55102, 51353, 53534, 51388, 55283, 52121, 51913, 50993, 52002, 51066, 59669, 51603, 58809, 51467, 52139, 50834, 52197, 50811, 51548, 50865, 51219, 50873, 51288, 51030, 68980, 52197, 50887, 51548, 50862, 51288, 50834, 51219, 53901, 66402, 58809, 51467, 51877, 50884, 52197, 50890, 57768, 51219, 50911, 51288, 52309, 72488, 51471, 52197, 62256, 51548, 50865, 77593, 51219, 55122, 51213, 50879, 58809, 51467, 52139, 50834, 52197, 54989, 66402, 52489, 50923, 52747, 50923, 51762, 52197, 50809, 51288, 66111, 61495, 51288, 50911, 51548, 51798, 51213, 50924, 51913, 50802, 52002, 50802, 58809, 51467, 52139, 50884, 52197, 50880, 51219, 55764, 62994, 52310, 51138, 53170, 51138, 51983, 52197, 50887, 51548, 50857, 51219, 60870, 54911, 51293, 53565, 51293, 53400, 51388, 52838, 51445, 58809, 51467, 52139, 50834, 52575, 55777, 52489, 50823, 52747, 50823, 51471, 79231, 70449, 51849, 50845, 51219, 54919, 72488, 58809, 51467, 51877, 50884, 52575, 54937, 51205, 50911, 53152, 51045, 52578, 64839, 51467, 50829, 79231, 51849, 50844, 51219, 50854, 51329, 52262, 50816, 57514, 51329, 54233, 51228, 50879, 58809, 51179, 52139, 50834, 79231, 51849, 50901, 56044, 53525, 53114, 72488, 51888, 50823, 52851, 54886, 51750, 50820, 52575, 50862, 51329, 50910, 51849, 50866, 51219, 50937, 60309, 51437, 57855, 51329, 50937, 51849, 50845, 51219, 54230, 51228, 50924, 58809, 51179, 52139, 50884, 52575, 61519, 51329, 50925, 51849, 58774, 51205, 60873, 51467, 50863, 79231, 51219, 78123, 52487, 52337, 55102, 51293, 53534, 51388, 52945, 52122, 51913, 50993, 52002, 51066, 59669, 51603, 58809, 51467, 52139, 64430, 50837, 52197, 50890, 51548, 50865, 51219, 50873, 51288, 51030, 68980, 52197, 50887, 51548, 50862, 51288, 50834, 51219, 53901, 66402, 58809, 51467, 51877, 50884, 52197, 50818, 57768, 51219, 50911, 51288, 52309, 72488, 51471, 52197, 65452, 51548, 50865, 77593, 51219, 55122, 51213, 50879, 58809, 51467, 52139, 50834, 52197, 54989, 66402, 53170, 50923, 52310, 50923, 51762, 52197, 50887, 51288, 66111, 61495, 51288, 50911, 51548, 51798, 51213, 50924, 54556, 50802, 52425, 50802, 58809, 51467, 52139, 50884, 52197, 50930, 51219, 55764, 62994, 52991, 51138, 51648, 51138, 51983, 52197, 50880, 51548, 50857, 51219, 50867, 52288, 51388, 52888, 51353, 56417, 51151, 58809, 51467, 52139, 50834, 52575, 54402, 51648, 50823, 52991, 50823, 51471, 79231, 51529, 50879, 51622, 50845, 51288, 54919, 59674, 58809, 51467, 51877, 50884, 52575, 52359, 77764, 54409, 51045, 51888, 51045, 51471, 79231, 51529, 51312, 51622, 51003, 51288, 61636, 51205, 50879, 58809, 51467, 52139, 50834, 52575, 52510, 59674, 60440, 50823, 52578, 50823, 51762, 52575, 78425, 50938, 51529, 50866, 51288, 50937, 51618, 57855, 51288, 50845, 51529, 54230, 51205, 50924, 58809, 51467, 52139, 50884, 52575, 78425, 50873, 50455, 51288, 58774, 64840, 54409, 51300, 51888, 51300, 51970, 52575, 50890, 51529, 50910, 51622, 76888, 51733, 51243, 53400, 51388, 54911, 53082, 55283, 53454, 53565, 52122, 58809, 51467, 52139, 50834, 53286, 50811, 51849, 50865, 51854, 50924, 52294, 50937, 68980, 53286, 50887, 52294, 50862, 51849, 50834, 51854, 53901, 72488, 58809, 51467, 51877, 50884, 53286, 50890, 52294, 50805, 51849, 50879, 51854, 51736, 51205, 50911, 52991, 50962, 51648, 50962, 51471, 52575, 56486, 54556, 50880, 52425, 62256, 53170, 56082, 52294, 50865, 51854, 50893, 51849, 55122, 51228, 50879, 52310, 56082, 58809, 51467, 52139, 50834, 52575, 54989, 72488, 51762, 79231, 52294, 78426, 61495, 51854, 50879, 52294, 51798, 51228, 50924, 58809, 51467, 52139, 50884, 52575, 50880, 51849, 52961, 51205, 50948, 51983, 52575, 50887, 52294, 50857, 51854, 50867, 53400, 51388, 51558, 51449, 58809, 51467, 52139, 50834, 52575, 50887, 68980, 79231, 52294, 50879, 51849, 50845, 51854, 54919, 72488, 58809, 51467, 51877, 50884, 52575, 54937, 51205, 50911, 51471, 79231, 51849, 50844, 51854, 50854, 52294, 59321, 51854, 54233, 51228, 50879, 55327, 51003, 56417, 50915, 53152, 51238, 58809, 51179, 52139, 50834, 54290, 50809, 51849, 50901, 52294, 60492, 72488, 58073, 51031, 54290, 50862, 52294, 50938, 51849, 50866, 51854, 50937, 50449, 51849, 50845, 51854, 54230, 51205, 50924, 54911, 50981, 55283, 51056, 52489, 50865, 53222, 51031, 55189, 50840, 52294, 50873, 50455, 51854, 58774, 51228, 50948, 52604, 50830, 51913, 52757, 50560, 51031, 53043, 50809, 51849, 50910, 52294, 66376, 58073, 51031, 53534, 51388, 52433, 50923, 53565, 50835, 55283, 52096, 54911, 51244, 52321, 63055, 53070, 52604, 50952, 56457, 66402, 52604, 51158, 58809, 51467, 51877, 50884, 51219, 50910, 52529, 50859, 51288, 78881, 52156, 59099, 72488, 56270, 51213, 50879, 52156, 50795, 52945, 51148, 55102, 51148, 52321, 52878, 66402, 51686, 50823, 69440, 53355, 66429, 51686, 61208, 51213, 50924, 58809, 51467, 52139, 50884, 52529, 50800, 78481, 51288, 55982, 53355, 55433, 62994, 51686, 51014, 51983, 53534, 51388, 52156, 51173, 54911, 51244, 53565, 51244, 52321, 67444, 58830, 52604, 58292, 66402, 58809, 51467, 51877, 50884, 51219, 50910, 52529, 50859, 51288, 56629, 72488, 51471, 50433, 52604, 78590, 51213, 50879, 52945, 51148, 55102, 51244, 52321, 52878, 66402, 52604, 51594, 79162, 50908, 53355, 66429, 52156, 58710, 51213, 50924, 58809, 51467, 52139, 50884, 52529, 50800, 78481, 51288, 55982, 53355, 70332, 51686, 52163, 62994, 51970, 53534, 51388, 52156, 51175, 54911, 51244, 52321, 55614, 53565, 51080, 51039, 56982, 52604, 61001, 66402, 58809, 51467, 51877, 50884, 51219, 50910, 52529, 50859, 51288, 56629, 72488, 52604, 51427, 56270, 51213, 50879, 52945, 51148, 55102, 51148, 52321, 52878, 66402, 52604, 50859, 69440 ]

[ 0, 250, 33928, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 6755, 12547, 6, 3459, 8669, 6, 13305, 6, 31391, 1672, 9590, 6, 8, 38668, 2236, 6, 70, 567, 561, 7, 1045, 41, 11653, 8, 2365, 12, 6928, 5466, 6, 19, 10, 11602, 9, 1619, 4780, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 15900, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 58637, 50830, 51416, 51294, 51915, 51469, 54676, 52440, 53205, 52147, 52892, 52147, 52321, 52981, 51964, 51060, 51368, 50991, 51762, 51510, 52670, 51232, 50914, 72648, 51153, 51191, 51223, 50918, 51350, 51191, 50852, 53031, 51416, 50836, 51368, 50938, 51897, 62196, 62432, 51964, 50897, 51416, 51204, 77959, 53952, 53055, 53256, 52440, 52166, 55262, 51265, 50873, 51960, 50444, 51964, 51100, 51262, 51370, 53528, 51265, 50805, 55723, 78582, 75118, 51153, 51048, 51262, 51227, 50852, 53007, 51416, 50840, 51368, 51060, 51956, 58637, 50925, 51416, 51091, 51915, 51362, 54676, 52147, 53205, 52212, 52892, 51703, 51897, 53223, 51964, 51121, 51368, 50983, 69971, 56457, 51232, 50914, 78366, 51153, 50914, 51223, 51161, 51350, 51091, 50852, 53031, 51416, 50809, 51915, 51196, 52166, 59051, 63423, 51964, 50925, 51416, 51294, 51368, 50800, 53952, 52440, 53256, 52440, 52166, 55788, 51265, 50905, 50442, 64864, 51964, 50849, 51262, 50865, 72556, 51265, 50967, 59056, 51144, 50943, 51153, 50889, 51119, 51159, 51262, 55633, 53217, 51137, 71697, 51013, 51468, 58637, 50897, 51416, 51204, 51915, 51343, 54676, 52440, 53205, 52440, 52892, 52212, 52321, 53227, 51964, 71697, 51391, 51471, 51510, 52712, 51232, 50914, 51099, 65801, 51013, 51223, 51161, 51350, 51351, 50852, 53031, 51416, 50809, 51915, 51343, 61384, 50894, 51209, 53959, 51041, 62196, 63423, 51964, 50925, 51416, 51091, 51368, 50859, 61384, 51505, 51209, 51100, 53952, 53055, 53256, 53055, 51897, 54905, 51265, 50959, 76552, 51964, 50873, 51262, 50952, 56026, 74792, 51212, 67115, 51265, 51158, 59056, 73322, 51119, 51013, 51153, 51013, 51262, 51227, 60616, 63537, 51242, 63380, 50452, 51915, 55584, 50456, 51416, 50836, 51368, 50967, 61384, 51552, 51209, 51542, 51468, 58637, 50925, 51416, 51294, 51915, 52536, 54676, 53055, 52892, 52147, 53205, 52440, 52321, 53203, 51964, 71697, 50889, 72274, 55239, 51232, 50914, 72648, 51153, 50914, 51223, 51161, 51350, 50983, 50852, 52953, 51416, 50840, 51368, 50987, 52321, 50825, 51556, 53018, 51964, 50897, 51416, 51091, 51368, 50858, 53952, 55597, 53256, 52988, 58805, 55757, 51265, 50838, 80186, 51964, 50873, 51262, 50924, 67115, 51265, 50805, 55723, 51153, 50914, 73322, 79092, 51262, 54762, 53137, 51137, 50910, 51368, 51058, 51350, 50912, 51842, 59649, 50925, 51132, 51204, 51425, 51469, 52892, 52440, 52321, 53227, 51876, 71526, 51048, 51931, 51510, 52670, 75118, 51119, 51290, 51153, 51013, 51262, 51364, 51355, 51293, 50852, 52818, 51132, 50840, 51223, 50948, 56026, 50894, 51229, 53959, 51041, 50825, 51556, 52896, 51876, 50925, 51132, 51204, 51223, 50921, 56026, 51505, 51229, 51100, 52451, 52212, 58805, 60464, 51195, 50977, 80186, 51876, 50873, 51262, 50948, 54890, 51090, 51590, 50995, 51468, 50446, 78718, 51195, 65223, 51144, 51191, 78582, 51275, 50807, 51262, 51343, 50852, 53137, 51132, 76411, 51110, 56026, 51552, 51229, 51310, 51468, 59649, 50925, 51132, 51091, 51425, 51469, 53256, 52147, 52892, 51703, 52321, 53403, 51876, 51100, 51223, 51227, 69971, 56457, 73322, 51119, 65801, 51048, 51355, 51939, 51262, 51091, 50852, 52818, 51132, 76411, 50948, 52455, 50825, 51556, 52896, 51876, 50917, 51132, 51091, 51223, 50821, 52892, 51142, 51897, 54905, 51195, 50937, 52451, 51387, 80186, 51876, 51100, 51262, 50924, 67115, 51195, 51215, 52892, 50984, 55723, 51144, 51124, 79092, 51275, 51159, 51262, 51090, 52451, 51432, 50852, 53137, 51132, 50910, 51223, 51173, 52892, 51123, 51970, 50458, 52451, 51319, 65237, 50925, 51137, 51091, 51368, 51469, 54921, 52503, 53205, 52503, 52451, 52212, 52321, 53403, 51869, 51100, 51195, 51400, 69971, 55239, 78366, 51429, 50896, 51275, 50807, 51250, 51191, 51780, 51592, 50852, 52818, 51137, 50812, 51195, 50977, 54890, 51014, 51590, 50910, 51897, 59051, 62432, 51869, 50925, 51137, 51091, 54890, 50936, 51590, 50942, 53281, 51490, 51897, 54905, 51350, 50865, 76552, 51869, 51121, 51250, 50938, 54890, 51454, 51590, 51116, 67115, 51350, 51110, 59056, 51099, 51157, 51429, 51427, 51275, 51290, 51250, 51013, 50852, 53017, 51137, 50910, 51195, 50879, 54890, 51388, 51590, 51013, 51842, 59649, 50925, 51132, 51191, 51425, 51469, 56026, 51021, 53952, 52503, 52892, 51703, 53256, 52440, 51897, 53403, 51876, 50937, 51223, 51124, 56026, 51460, 51229, 51480, 51956, 51510, 52712, 51144, 51191, 51119, 51204, 51153, 50807, 51262, 51364, 51355, 52980, 50852, 52818, 51132, 76411, 50924, 56026, 51454, 51229, 50943, 51897, 52742, 51876, 50925, 51132, 51091, 51223, 50858, 52451, 51703, 51897, 54656, 51195, 50937, 76552, 51876, 50873, 51262, 50938, 54890, 51055, 51590, 50981, 67115, 51471, 50448, 51195, 65504, 73322, 51119, 51013, 51153, 50807, 51262, 54490, 53017, 51132, 50910, 51223, 51173, 56026, 51054, 51229, 50995, 51970, 58637, 50942, 51416, 51204, 51915, 51469, 54676, 52440, 53205, 53055, 52892, 53055, 52321, 53203, 51964, 50873, 51368, 50991, 61384, 50806, 51209, 51381, 68436, 56457, 51232, 51157, 72648, 51153, 51048, 51223, 50918, 51350, 51191, 60616, 50879, 51088, 78236, 52818, 51416, 50808, 51368, 50938, 61384, 53841, 51041, 62196, 60616, 50890, 63423, 51964, 50942, 51416, 51091, 77959, 63788, 51364, 53952, 52212, 53256, 52147, 51093, 51003, 51897, 55788, 51265, 50873, 50442, 51960, 50444, 51964, 50873, 51262, 51370, 53528, 51265, 50805, 59056, 73322, 51119, 78922, 51262, 51227, 51107, 51159, 50852, 53217, 51137, 50910, 51368, 51060, 51468, 58637, 75713, 51091, 51915, 51362, 54676, 52147, 53205, 52440, 52892, 52212, 51201, 51391, 52321, 53203, 51964, 50873, 51368, 50983, 51471, 51510, 52712, 51232, 50807, 51099, 65801, 50889, 51223, 51161, 51350, 51091, 51266, 50981, 50852, 52417, 51416, 50859, 51915, 51196, 52166, 50825, 51556, 53018, 51964, 50925, 51416, 51346, 51368, 50800, 53952, 52212, 53256, 52147, 51107, 50892, 58805, 60464, 51265, 50905, 80186, 51964, 50901, 51262, 50865, 51093, 50845, 51956, 50446, 67115, 51265, 58647, 51144, 51048, 51119, 51016, 51153, 51073, 51137, 50914, 51262, 50889, 51107, 51212, 50852, 53017, 51368, 51013, 51266, 52071, 52166, 50829, 58637, 50925, 51338, 50897, 51915, 51343, 54676, 52440, 53205, 52440, 52892, 52212, 52321, 53784, 54031, 51964, 50937, 51338, 50938, 51368, 51391, 51897, 52712, 51232, 51159, 51099, 65801, 51073, 51223, 51161, 51350, 51351, 61394, 52667, 51137, 50849, 51915, 51343, 63423, 51964, 50897, 51416, 50910, 51368, 50859, 61384, 51012, 51209, 51060, 53952, 53055, 53256, 53055, 52321, 55018, 56650, 51265, 63280, 51964, 50937, 51416, 50897, 51262, 50952, 56026, 74792, 51212, 58805, 56156, 51265, 65458, 73322, 51119, 65801, 51157, 51262, 51227, 60616, 51192, 51256, 51242, 51190, 50934, 67940, 51915, 55584, 50456, 51137, 71697, 50967, 61384, 51552, 51209, 51134, 60524, 50895, 58637, 50897, 51416, 50910, 51915, 52536, 54676, 53055, 52892, 52147, 53205, 52440, 51897, 55018, 53829, 51964, 51121, 51416, 50938, 51368, 50889, 64547, 55800, 51232, 50914, 72648, 51153, 50807, 51223, 51161, 51350, 50983, 54161, 52953, 51137, 71697, 50987, 63423, 51964, 50897, 78049, 51368, 50858, 53256, 52988, 53952, 55597, 65634, 53850, 53905, 51265, 53624, 51964, 51121, 51137, 51100, 51262, 50924, 60524, 58781, 51265, 52596, 73322, 79092, 51153, 50889, 78049, 51262, 53543, 51044, 53017, 51137, 71697, 51058, 51350, 57064, 51135, 50837 ]

[ 0, 250, 32625, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 44544, 620, 7085, 12280, 642, 6, 21979, 8669, 6, 6755, 12547, 6, 2342, 4467, 6, 8, 31391, 1672, 9590, 35810, 561, 15352, 30054, 2301, 81, 10, 7212, 155, 73, 306, 20889, 11, 5, 762, 9, 230, 538, 6, 19, 5, 40286, 274, 8, 230, 1976, 10, 16634, 46336, 4811, 1328, 42, 2214, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 80054, 51034, 52907, 50923, 51132, 52369, 51425, 77690, 68696, 51014, 51065, 72207, 52143, 50923, 55429, 61177, 51883, 56351, 51014, 51065, 51014, 55703, 62591, 52143, 69702, 56351, 51014, 51065, 51014, 55894, 51014, 51065, 51014, 51034, 52907, 50923, 51132, 52369, 51425, 77690, 68696, 51014, 51065, 51014, 50417, 50697, 50344, 50962, 50418, 72466, 76249, 59886, 57188, 52143, 50923, 63951, 68936, 59202, 70394, 57545, 51130, 51014, 50423, 55372, 50949, 55802, 75564, 54723, 69356, 53647, 50949, 54428, 55229, 51883, 51054, 53436, 51130, 51014, 51065, 51014, 50427, 53039, 50949, 53000, 68388, 53260, 63043, 52697, 50962, 50430, 52566, 72149, 53267, 55736, 52890, 67725, 52650, 73312, 53118, 52374, 51014, 50435, 53748, 50962, 50436, 53472, 79737, 53715, 59266, 52143, 51054, 56265, 64116, 56351, 51014, 51065, 51014, 50439, 55039, 69431, 55228, 59120, 56456, 50962, 50442, 61534, 51739, 51014, 50443, 60131, 51354, 55894, 51014, 51065, 51014, 51034, 52907, 50923, 59861, 52311, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51206, 53501, 51065, 51014, 50415, 51673, 52369, 51093, 52369, 50420, 52143, 50923, 55429, 61177, 51883, 51054, 50885, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 62591, 52907, 60947, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 66066, 55780, 50923, 55894, 51014, 51065, 51014, 50449, 53598, 50962, 51600, 50962, 51034, 55528, 50923, 51181, 52369, 51171, 51054, 51482, 77690, 68696, 51014, 51065, 51014, 50415, 52367, 51054, 51182, 61304, 53215, 50923, 55429, 61177, 52171, 51527, 51887, 50923, 51201, 51527, 50848, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 65846, 51883, 50923, 55703, 62591, 51251, 77303, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 55894, 51014, 51065, 51014, 51034, 52433, 51552, 52602, 50923, 51266, 51552, 51727, 52369, 52021, 51054, 52447, 77690, 68696, 51014, 51065, 72207, 51887, 50923, 55429, 61177, 51251, 51527, 50848, 51054, 50872, 51054, 50939, 56351, 51014, 51065, 65846, 51886, 51603, 51107, 51603, 55703, 62591, 50848, 51054, 50872, 51054, 50939, 69702, 56351, 51014, 51065, 51014, 50441, 51673, 51014, 51093, 51014, 50445, 51827, 51021, 51165, 51021, 55894, 51014, 51065, 51014, 51034, 51673, 52311, 53215, 50923, 51093, 52311, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51065, 72207, 51887, 50923, 55429, 61177, 51299, 51527, 50885, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 62591, 50885, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 50443, 51606, 51354, 51154, 51354, 55894, 51014, 51065, 51014, 51034, 52602, 50923, 51727, 52369, 52021, 51054, 52447, 77690, 68696, 51014, 51065, 51014, 50415, 52480, 50962, 51395, 50962, 50416, 52433, 51573, 51266, 51573, 50420, 51887, 50923, 55429, 61177, 51251, 51527, 50848, 51054, 50872, 51054, 50939, 56351, 51014, 51065, 65846, 51886, 51460, 51107, 51460, 55703, 62591, 50848, 51054, 50872, 51054, 50939, 69702, 56351, 51014, 51065, 51014, 50441, 51673, 51014, 51093, 51014, 50445, 51827, 51014, 51165, 51014, 55894, 51014, 51065, 51014, 51034, 51673, 51527, 53215, 50923, 51093, 51527, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51065, 72207, 51887, 50923, 55429, 61177, 51299, 51527, 50885, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 51014, 50437, 51606, 51054, 51154, 61287, 50885, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 55894, 51014, 51065, 51014, 51034, 51565, 56073, 55780, 50923, 51088, 56073, 51137, 52369, 50988, 51054, 51368, 51454, 52055, 50407, 50791, 51014, 51065, 72207, 52830, 50923, 55429, 61177, 51699, 60164, 51054, 50847, 51054, 50939, 56351, 51014, 51065, 65846, 51638, 50923, 55703, 62591, 51251, 77303, 51054, 50847, 51054, 50939, 69702, 56351, 51014, 51065, 51014, 55894, 51014, 51065, 51014, 51034, 53215, 50923, 51349, 52369, 50946, 51054, 51265, 77690, 68696, 51014, 51065, 72207, 52830, 50923, 55429, 61177, 51699, 71840, 51054, 50868, 51054, 50847, 56351, 51014, 51065, 65846, 51794, 50923, 55703, 62591, 51686, 51054, 51301, 51054, 51113, 51054, 51017, 51054, 50868, 51054, 50847, 69702, 56351, 51014, 51065, 51014, 55820, 51014, 55894, 51014, 51065, 51014, 51034, 52371, 50923, 51181, 52369, 51171, 51054, 51482, 77690, 68696, 51014, 51065, 51014, 50415, 51606, 52369, 51154, 52369, 50420, 51883, 50923, 55429, 61177, 51251, 77303, 51054, 50872, 51054, 50850, 56351, 51014, 51065, 51014, 55703, 62591, 52371, 77303, 51054, 50872, 51054, 50850, 69702, 56351, 51014, 51065, 51014, 55894, 51014, 51065, 51014, 51034, 51673, 51354, 52143, 50923, 51093, 51354, 51132, 52369, 51164, 51054, 51425, 77690, 68696, 51014, 51065, 72207, 51883, 50923, 50421, 51686, 51527, 51113, 51527, 55429, 61177, 51426, 51237, 50885, 51237, 50979, 51237, 50850, 62461, 51045, 51065, 51045, 55703, 70228, 52143, 51237, 50885, 51237, 50979, 51237, 50850, 51237, 50903, 62461, 51045, 51065, 51045, 55820, 77762, 51565, 51012, 51088, 51012, 55894, 51045, 51065, 51045, 51034, 51606, 51870, 52602, 51012, 51154, 51870, 51727, 53174, 52021, 51237, 52447, 51735, 50798, 72558, 51045, 51065, 75832, 51887, 51012, 55429, 66037, 51251, 51237, 50848, 51237, 50872, 51237, 50939, 62461, 51045, 51065, 51045, 55703, 51045, 50437, 51565, 50950, 51088, 57174, 52602, 51237, 50848, 51237, 50872, 51237, 50939, 51237, 50903, 62461, 51045, 51065, 51045, 50440, 51606, 50950, 51154, 50950, 50443, 51789, 50950, 51301, 79942, 51606, 50950, 51154, 52516, 51045, 51065, 51045, 50449, 52156, 51031, 51357, 51031, 51034, 51673, 51012, 54480, 51012, 51093, 51012, 51533, 53174, 51751, 51237, 52191, 51735, 52531, 50407, 50791, 51045, 51065, 75832, 52602, 51012, 50421, 51686, 51870, 51113, 51870, 55429, 66037, 52481, 61039, 51237, 50979, 51237, 50847, 62461, 51045, 51065, 68981, 51794, 51012, 55703, 70228, 51154, 51237, 51017, 51237, 50979, 51237, 50847, 51237, 50903, 62461, 51045, 51065, 51045, 55820, 77762, 51565, 51012, 51088, 51012, 55894, 51045, 51065, 51045, 51034, 51606, 51237, 51154, 51237, 52371, 51870, 51181, 53174, 51171, 51237, 51482, 51735, 50798, 72558, 51045, 51065, 51045, 55429, 51045, 57189, 51237, 50872, 51237, 50850, 62461, 51045, 51065, 51045, 50427, 51686, 51761, 51113, 51761, 55703, 70228, 52143, 51237, 50848, 51237, 50872, 51237, 50850, 51237, 50903, 62461, 51045, 51065, 51045, 50443, 51673, 51505, 51093, 51505, 55894, 51045, 51065, 51045, 51034, 52171, 51237, 54333, 51237, 51201, 51237, 51857, 51237, 51791, 51237, 53180, 51045, 52531, 50407, 50791, 51045, 51065, 51045, 55429, 51045, 50425, 52433, 52512, 51266, 52512, 50426, 52830, 51237, 51374, 51870, 50848, 51237, 50868, 51237, 50992, 51237, 51726, 66363, 51045, 51065, 51045, 55703, 70228, 55780, 51237, 50848, 51237, 50868, 51237, 50992, 51237, 50903, 62461, 51045, 51065, 51045, 55820, 51045, 50445, 51886, 51012, 51107, 51012, 55894, 51045, 51065, 51045, 51034, 52480, 51031, 51395, 51031, 53215, 51237, 51844, 51237, 51688, 51237, 52331, 51045, 52531, 50407, 50791, 51045, 51065, 51045, 50415, 52433, 51735, 51266, 51735, 55429, 66037, 51886, 52512, 52371, 51237, 51107, 52512, 51181, 51870, 50885, 51237, 50848, 51237, 50944, 51237, 51482, 66363, 51045, 51065, 51045 ]

[ 0, 250, 15855, 8, 5175, 24904, 2214, 11, 83, 3694, 6, 4246, 21072, 6, 6168, 3540, 6, 21711, 102, 6, 856, 17993, 6, 8, 449, 337, 757, 3178, 4, 590, 10, 231, 73, 398, 86, 6543, 8, 10, 20902, 27841, 139, 20889, 6, 24, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 15073, 4, 20, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 12608, 3639, 7, 63, 13363, 28191, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 50, 19448, 8, 5679, 26709, 3423, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51540, 50640, 56326, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 56326, 50896, 50759, 50306, 54526, 66105, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 66105, 50896, 51540, 66105, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 60588, 50896, 50759, 50306, 54526, 61557, 50896, 50759, 50306, 51160, 50462, 60060, 60814, 61557, 50896, 51540, 56326, 50896, 50759, 50301, 51285, 50759, 50306, 68542, 56126, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 60060, 50896, 51540, 56126, 51685, 50759, 50301, 51285, 50759, 50306, 74532, 50759, 50306, 54526, 56326, 51285, 50759, 50306, 51160, 50474, 60060, 50896, 51540, 61557, 50896, 50759, 50301, 51285, 50759, 50306, 68542, 60060, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 51285, 50759, 50306, 51160, 50474, 62611, 50896, 51540, 60060, 51685, 50759, 50301, 51285, 50759, 50306, 74532, 50759, 50306, 54526, 50759, 50306, 51160, 51540, 56326, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 56326, 50896, 50759, 50306, 54526, 66105, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 66105, 50896, 51540, 66105, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 60588, 50896, 50759, 50306, 54526, 61557, 50896, 50759, 50306, 51160, 50462, 60060, 60814, 61557, 50896, 51540, 56326, 50896, 50759, 50301, 51285, 50759, 50306, 68542, 56126, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 50896, 50759, 50306, 51160, 50462, 56326, 60814, 60060, 50896, 51540, 56126, 51685, 50759, 50301, 51285, 50759, 50306, 74532, 50759, 50306, 54526, 56326, 51285, 50759, 50306, 51160, 50474, 60060, 50896, 51540, 60588, 51285, 50759, 50301, 51285, 50759, 50306, 74532, 66105, 50896, 50759, 50306, 54526, 60588, 51285, 50759, 50306, 51160, 50474, 61557, 50896, 51540, 60060, 50806, 50759, 50306, 55419, 56326, 52247, 60060, 50896, 50759, 50306, 53585, 56126, 50896, 50759, 50306, 54526, 56326, 51685, 50759, 50306, 51160, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 60588, 51285, 50832, 51685, 50474, 66105, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 56326, 69016, 51685, 50462, 56126, 60814, 56326, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 60588, 51285, 50832, 51685, 50474, 66105, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 56326, 69016, 51685, 50462, 56126, 60814, 56326, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 60588, 51285, 50832, 51685, 50474, 66105, 50896, 51540, 60588, 55367, 51685, 50420, 61557, 52247, 60060, 53585, 61557, 54526, 56326, 69016, 51685, 50462, 56126, 60814, 56326, 50896, 51540, 50725, 50342, 51285, 50832, 51685, 50438, 79355, 54526, 50725, 50339, 77789, 51685, 51540, 50725, 50342, 55367, 51685, 50420, 79355, 52247, 50725, 50339, 53585, 79355, 54526, 66105, 51285, 50832, 51685, 50474, 56326, 50896, 51540, 66105, 69016, 51685, 50426, 56326, 53585, 66105, 54526, 66105, 77789, 50821, 52145, 52935, 50832, 50821, 52215, 50821, 51540, 56326, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 56326, 50896, 55233, 50896, 50759, 50306, 54526, 66105, 50896, 55553, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 66105, 50896, 55553, 50896, 51540, 66105, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 60588, 50896, 55818, 50896, 50759, 50306, 54526, 61557, 50896, 53587, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 60060, 60814, 61557, 50896, 53587, 50896, 51540, 56326, 50896, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50426, 56126, 53585, 56326, 50896, 55233, 50896, 50759, 50306, 54526, 60060, 50896, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 60060, 50896, 55233, 50896, 51540, 56126, 51685, 55553, 51685, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 50759, 50306, 54526, 56326, 51285, 55233, 51685, 50759, 50306, 51160, 50832, 51685, 50474, 60060, 50896, 51540, 61557, 50896, 53587, 51685, 50759, 50306, 69016, 51685, 51240, 51685, 50426, 60060, 50896, 50759, 50306, 53585, 56326, 50896, 50759, 50306, 54526, 60060, 51285, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50474, 62611, 50896, 55553, 50896, 51540, 60060, 51685, 55233, 51685, 50759, 50306, 69016, 51685, 51240, 51685, 50426, 50759, 50306, 53585, 50759, 50306, 54526, 50759, 50306, 51160, 50832, 51685, 51540, 56326, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 53765, 50832, 53585, 56326, 50896, 55233, 50896, 50759, 50306, 69016, 54526, 66105, 50896, 55553, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 66105, 50896, 55553, 50896, 51540, 66105, 51285, 55233, 51285, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 60588, 50896, 55818, 50896, 50759, 50306, 54526, 61557, 50896, 53587, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 60060, 60814, 61557, 50896, 53587, 50896, 51540, 56326, 50896, 55233, 51285, 50759, 50306, 51285, 50832, 53765, 56126, 69016, 53585, 56326, 50896, 55233, 50896, 50759, 50306, 69016, 54526, 60060, 50896, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50462, 56326, 60814, 60060, 50896, 55233, 50896, 51540, 56126, 51685, 55553, 51685, 50759, 50306, 51285, 50832, 51685, 51240, 51685, 50438, 50759, 50306, 54526, 56326, 51285, 55233, 51685, 50759, 50306, 51160, 50832, 51685, 50474, 60060, 50896, 51540, 60588, 51285, 53587, 51685, 50759, 50306, 69016, 53765, 50759, 50306, 69016, 53585, 66105, 50896, 50759, 50306, 69016, 54526, 60588, 51285, 55818, 51285, 50759, 50306, 51160, 50832, 51685, 50474, 61557, 50896, 55553, 50896, 51540, 60060, 50806, 55233, 50896, 50759, 50306, 69016, 51685, 51240, 51685, 50420, 56326, 52247, 60060, 50896, 55818, 50896, 50759, 50306, 53585, 56126, 50896, 55553, 50896, 50759, 50306, 54526, 56326, 51685, 55233, 51685, 50759, 50306, 51160, 50832, 51685, 51540, 50725, 50342, 51285, 50759, 50306, 51160, 50832, 74532, 79355, 55367, 55451, 50725, 50339, 52610, 66105, 51285, 50832, 51160, 50474, 50725, 50339, 50806, 50480, 79355, 50806, 51540, 50725, 50342, 51285, 50759, 50306, 51160, 50832, 74532, 79355, 55367, 55451, 50725, 50339, 52610, 66105, 77789, 51160, 51540, 50725, 50342, 51285, 50759, 50306, 51160, 50832, 74532, 79355, 69016, 54526, 50725, 50339, 77789, 51160, 51540, 50725, 50342, 50806, 50759, 50306, 51160, 50832, 70599, 79355, 52247, 50725, 50339, 53585, 79355, 69016, 54526, 66105, 51285, 50832, 51160, 50474, 56326, 50896, 51540, 66105, 50896, 50759, 50306, 69016, 50896, 51270, 53765, 56326, 50896, 50759, 50306, 69016, 50821, 51999, 52686, 50832, 50821, 52224, 66564, 66105, 50896, 50759, 50306, 54526, 66105, 51685, 50759, 50306, 77789, 51685, 51889, 51685, 51540, 56326, 51285, 53081, 51285, 53304, 51285, 50759, 50301, 50896, 50759, 50306, 50896, 51326, 51685, 51769, 51685, 50426, 50759, 50306, 53585, 56326, 50896, 53081, 50896, 53304, 50896, 50759, 50306, 54526, 66105, 50896, 54269, 50896, 53159, 51285, 50759, 50306, 51160, 51326, 51685, 50462, 56326, 50896, 53081, 60814, 66105, 50896, 54269, 50896, 53159, 50896, 51540, 66105, 51285, 54269, 51285, 53304, 51285, 50759, 50301, 50896, 50759, 50306, 50896, 51326, 51685 ]

[ 0, 4688, 14899, 5175, 2214, 4246, 38668, 20535, 6, 3459, 9590, 6, 29589, 6, 8, 190, 10, 12167, 1683, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 11, 230, 538, 16, 3185, 30, 10, 33215, 16739, 9, 3676, 406, 6, 230, 6, 272, 73, 495, 6, 230, 6, 8, 272, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 50456, 50927, 52409, 53736, 50964, 52409, 50817, 53285, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 58144, 55843, 50927, 53547, 53736, 57951, 53285, 50860, 51479, 57474, 55229, 51069, 55166, 52050, 51636, 51361, 53442, 72035, 59194, 51180, 53595, 58144, 51636, 51453, 59426, 78247, 53285, 52651, 71791, 51069, 51331, 52639, 50964, 52590, 52050, 55232, 51069, 51052, 54034, 50927, 53925, 59194, 51180, 52568, 58144, 55843, 69302, 53285, 50860, 63616, 59194, 51881, 51732, 51615, 51732, 51711, 51732, 51039, 52630, 50748, 50289, 51732, 50748, 50304, 51732, 72035, 51011, 52590, 52050, 51636, 51361, 53294, 70593, 63616, 59194, 51180, 56385, 58144, 51636, 51453, 56924, 64343, 65931, 53285, 75159, 52651, 71791, 60378, 51011, 52715, 52437, 60418, 51133, 52590, 52050, 55232, 64343, 51011, 51052, 53593, 60264, 51271, 53925, 59194, 51180, 55254, 58144, 55843, 60264, 51271, 51858, 53736, 61262, 50803, 57951, 51133, 50803, 53285, 50823, 63616, 51479, 57474, 52630, 70593, 51011, 55075, 52050, 51636, 51361, 52676, 70593, 63616, 59194, 51180, 55245, 58144, 51636, 51453, 53736, 51069, 50817, 51011, 50817, 53285, 75159, 77416, 50417, 64343, 51011, 52244, 64343, 51011, 51052, 52630, 56372, 51133, 52590, 52050, 55232, 64343, 51011, 51052, 53785, 63166, 51271, 55276, 59194, 51572, 52267, 51068, 52625, 52568, 50801, 51928, 54886, 54508, 52465, 63359, 50817, 53285, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 58144, 55843, 50964, 50895, 50927, 53547, 53736, 57951, 53285, 50860, 51479, 57474, 55229, 51069, 55166, 52050, 51636, 51361, 53442, 72035, 59194, 51180, 53595, 58144, 51636, 51453, 59426, 78247, 53285, 50824, 51479, 57474, 52639, 50964, 52590, 52050, 55232, 51069, 51052, 54034, 50927, 53925, 59194, 51180, 52568, 58144, 55843, 69302, 52354, 52750, 52885, 52302, 50945, 51052, 52630, 58144, 61580, 58205, 51361, 54665, 51213, 52952, 62313, 51011, 52651, 72940, 51133, 50975, 51180, 55254, 50964, 55166, 52050, 51636, 73145, 52354, 52651, 71791, 50945, 51805, 53087, 58144, 61580, 58205, 51361, 53593, 51213, 52952, 63615, 59194, 51180, 53595, 50964, 51072, 58144, 55843, 69302, 52354, 52651, 71791, 50945, 51052, 55229, 58144, 61580, 58205, 51361, 54986, 51213, 52952, 66436, 51479, 54129, 51133, 50975, 51180, 53595, 50964, 55166, 52050, 51636, 51453, 50961, 52288, 52651, 51636, 68004, 51052, 52639, 50927, 55166, 52050, 55232, 51105, 51052, 54034, 70702, 50945, 52057, 59194, 53525, 52267, 50816, 51636, 60309, 52568, 51767, 65259, 63759, 64673, 50801, 52193, 69302, 64376, 50860, 51069, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 50801, 51928, 59511, 55843, 50964, 50895, 50927, 53547, 53736, 57951, 53285, 50860, 51479, 57474, 55229, 51069, 55166, 52050, 51636, 51361, 53442, 72035, 59194, 51180, 53595, 58144, 51636, 51453, 59426, 78247, 53285, 50824, 51479, 57474, 52639, 50964, 52590, 52050, 55232, 51069, 51052, 54034, 50927, 53925, 59194, 51180, 52568, 50801, 51928, 52050, 55843, 69302, 53285, 52590, 52885, 57474, 52630, 51069, 52590, 52050, 51636, 51361, 53116, 60378, 59194, 51180, 55254, 58144, 51636, 51453, 54794, 78247, 53285, 50823, 51479, 52302, 51069, 54589, 53087, 71155, 58144, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 53595, 58144, 55843, 50964, 50895, 50927, 53547, 53736, 57951, 50799, 52484, 50823, 64633, 51479, 57474, 55229, 58144, 55232, 52484, 70213, 51052, 54986, 52484, 69583, 52057, 51409, 50860, 50927, 52651, 59252, 51409, 67199, 51052, 53595, 51409, 51072, 50927, 51072, 58144, 51636, 51453, 50961, 50799, 52484, 50860, 78152, 51479, 57474, 52639, 58144, 51636, 51361, 52896, 59194, 51180, 52568, 51767, 65259, 51072, 58144, 55843, 69302, 64376, 61424, 50860, 59194, 51881, 51732, 51615, 51732, 51711, 51732, 51039, 52630, 50748, 50289, 51732, 50748, 50304, 51732, 51069, 55166, 52050, 51636, 51361, 53294, 70593, 59194, 51180, 56385, 58144, 51636, 51453, 56924, 64343, 53285, 52651, 71791, 51069, 51331, 52437, 50964, 55166, 52050, 55232, 51069, 51052, 53593, 50927, 52057, 59194, 51180, 55254, 58144, 55843, 50927, 51858, 53736, 61262, 50803, 57951, 53285, 50823, 51479, 57474, 52630, 51069, 55075, 52050, 51636, 51361, 52676, 70593, 59194, 51180, 55245, 58144, 51636, 51453, 53736, 51069, 50817, 53285, 52651, 51636, 50417, 51069, 52244, 51069, 51052, 52630, 50964, 52590, 52050, 55232, 51069, 51052, 53785, 50927, 53925, 59194, 51572, 52267, 51068, 51858, 52568, 50801, 51928, 55720, 54508, 52465, 63359, 50817, 50799, 53043, 64753, 50811, 51023, 63499, 50811, 75049, 51069, 52590, 52885, 55265, 51020, 50811, 51023, 63499, 50811, 51403, 53213, 53043, 64753, 50961, 51023, 51139, 53578, 51020, 51031, 51023, 57272, 53043, 64753, 50811, 51023, 63499, 50811, 75049, 51069, 52590, 52050, 61580, 51020, 50811, 51023, 63499, 50811, 51403, 52726, 53043, 64753, 50811, 51023, 51156, 53116, 54843, 69112, 50817, 51023, 69454, 50811, 75049, 60378, 51479, 54129, 51020, 50811, 51023, 63499, 50811, 51403, 52940, 54843, 69112, 50803, 51023, 51052, 58781, 53043, 64753, 50811, 51023, 63499, 50811, 51403, 52768, 58144, 64673, 51020, 50803, 65541, 51092, 50803, 51403, 63428, 54794, 53043, 66631, 50817, 51023, 50811, 78247, 50799, 63548, 64753, 50811, 51023, 63499, 50811, 75049, 70593, 51479, 52302, 63548, 64753, 50811, 51023, 63499, 50811, 75049, 51069, 54589, 53087, 63548, 66631, 50811, 51023, 63499, 50811, 75049, 71155, 58144, 61580, 63548, 52119, 51020, 50803, 51023, 63499, 50803, 75049, 51069, 51052, 53593, 56361, 50811, 50927, 52057, 52947, 50811, 51083, 53432, 72940, 52947, 50817, 51282, 50817, 51083, 50817, 76086, 51023, 52267, 51282, 50811, 51083, 50811, 76086, 51023, 51156, 56156, 51282, 50811, 51083, 50803, 76086, 51023, 52768, 51401, 64311, 64753, 52750, 52050, 64673, 51282, 50823, 51083, 50803, 75425, 51023, 54178, 50964, 50895, 50927, 53547, 53736, 51023, 50817, 57951, 50799, 53043, 64753, 50811, 51023, 63499, 50811, 75049, 72035, 51479, 55265, 51020, 50811, 51023, 63499, 50811, 51403, 53213, 53043, 66631, 50961, 51023, 51139, 56828, 51020, 51031, 51023, 57272, 53043, 66631, 50811, 51023, 63499, 50811, 75049, 51069, 55166, 52050, 61580, 51020, 50811, 51023, 63499, 50811, 51403, 52726, 53043, 66631, 50811, 51023, 51156, 54986, 53043, 52952, 54843, 66631, 50817, 51023, 69454, 50811, 75049, 72035, 51479, 54129, 54843, 64753, 50811, 51023, 63499, 50811, 51403, 52940, 51020, 50803, 51023, 51052, 56156, 53043, 64753, 50811, 51023, 63499, 50811, 51403, 52768, 58144, 64673, 51020, 50803, 65541, 51092, 50803, 51403, 63428, 59426, 53043, 66631, 50817, 51023, 50811, 78247, 50799, 63548, 66631, 50811, 51023, 63499, 50811, 75049 ]

[ 0, 1121, 42, 5175, 2214, 6, 10, 38668, 483, 1239, 5, 15352, 30054, 16450, 6, 7513, 30, 5, 1844, 23225, 9, 10, 9590, 3863, 8, 5, 1428, 1370, 9, 21072, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 41, 20425, 2125, 14, 17384, 2933, 8, 3366, 219, 5938, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 1918, 6, 211, 119, 6, 8, 381, 12361, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 55750, 58306, 55594, 58306, 53907, 58306, 50461, 55750, 52147, 52998, 52147, 53787, 52147, 50796, 50436, 67753, 51703, 55594, 51703, 53907, 51703, 50459, 55750, 51671, 55594, 51671, 53907, 51671, 50796, 50458, 55750, 51148, 52998, 51148, 53787, 51148, 50796, 50433, 67753, 51145, 55594, 51145, 53907, 51145, 50457, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 66243, 58559, 60510, 62423, 51003, 50455, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 53069, 54685, 51003, 50431, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50454, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 79254, 58559, 51003, 50441, 62423, 51003, 50453, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 51809, 54685, 51003, 50428, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50451, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 69341, 58559, 56509, 62423, 57197, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50799, 54685, 51003, 50425, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50449, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 60212, 58559, 51003, 50436, 62423, 51003, 50447, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50459, 54685, 51003, 57731, 53441, 51183, 67753, 51183, 56201, 51183, 53907, 51183, 50446, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 55753, 57755, 51003, 50433, 58559, 51003, 50445, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50456, 56256, 51003, 52591, 54025, 51183, 56201, 51183, 59059, 51183, 53283, 51183, 50443, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 53069, 57755, 51003, 50430, 58559, 51003, 50442, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50454, 56256, 51003, 52177, 54025, 51183, 56201, 51183, 59059, 51183, 53283, 51183, 50441, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 51809, 57755, 51003, 50428, 58559, 51003, 50439, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50451, 56256, 51003, 51601, 54025, 51183, 56201, 51183, 59059, 51183, 53283, 64164, 58559, 51183, 55594, 51353, 59059, 51353, 53283, 51353, 50461, 57755, 51003, 59412, 58559, 51003, 50437, 54685, 51003, 55594, 51183, 53787, 51183, 55636, 51183, 50448, 56256, 51003, 50460, 54025, 51183, 56201, 51183, 52998, 51183, 53283, 51183, 50796, 50435, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50459, 58559, 51003, 56020, 62423, 51003, 50434, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50446, 54685, 51003, 50457, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50796, 50433, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50456, 58559, 51003, 52591, 62423, 51003, 50431, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50443, 54685, 51003, 50455, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 50796, 50430, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50453, 58559, 51003, 52177, 62423, 51003, 50429, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 51183, 50440, 54685, 51003, 50452, 53441, 51183, 67753, 51183, 55594, 51183, 53907, 51183, 69341, 62423, 51183, 55750, 51353, 55594, 51353, 53907, 51353, 50451, 58559, 51003, 50799, 62423, 58299, 57073, 51003, 55750, 51183, 52998, 51183, 53787, 64164, 54685, 51003, 50449, 53441, 51003, 67753, 51183, 56201, 51183, 53907, 51183, 50461, 64451, 51003, 59412, 62423, 50901, 55750, 50901, 55594, 50901, 53907, 55998, 52189, 50809, 57008, 51594, 64733, 50798, 58321, 66936, 64526, 50798, 50882, 56875, 52853, 51010, 52177, 50798, 50882, 51510, 63043, 50798, 52262, 50816, 52189, 50890, 52129, 56112, 66936, 51010, 50452, 62471, 56032, 52189, 50803, 51809, 51728, 51104, 50836, 55429, 50930, 50428, 62471, 57671, 52516, 60681, 50798, 62120, 66936, 72634, 50798, 74717, 50816, 52853, 50811, 51601, 50798, 77287, 50816, 52374, 50811, 52389, 53917, 50816, 50950, 51450, 53247, 50816, 51864, 55059, 50816, 54208, 50798, 52935, 61718, 62959, 50798, 50930, 53069, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 63669, 58221, 58559, 57353, 51508, 57784, 62423, 50901, 50443, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52873, 59788, 62471, 50449, 54685, 50901, 50454, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 51508, 59616, 50798, 50887, 52478, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 63669, 58459, 58559, 57353, 52516, 51010, 50436, 62423, 69692, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52217, 65866, 54685, 55998, 55982, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 52304, 63574, 50798, 50880, 52177, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 56464, 50930, 50428, 58559, 57353, 51594, 69696, 62423, 50901, 50440, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 51864, 77571, 54685, 55998, 50821, 50452, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 51864, 70340, 50798, 50887, 51601, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 53005, 51010, 50427, 58559, 57353, 52374, 67725, 62423, 50901, 50439, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52217, 50962, 52129, 50882, 50445, 54685, 55125, 53441, 51003, 67753, 51003, 56201, 51003, 53907, 71491, 52633, 52884, 52613, 51225, 50836, 50799, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 62305, 55447, 58559, 57353, 51864, 52726, 62423, 50901, 50437, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 51420, 59503, 54685, 55998, 65835, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 52633, 72091, 62471, 50461, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 62305, 50811, 60212, 58559, 57353, 51594, 74172, 62423, 50901, 50436, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 51864, 62438, 54685, 55998, 60972, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 51864, 62172, 50798, 56132, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 62305, 51010, 57731, 58559, 57353, 52304, 60579, 62423, 61647, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52304, 61746, 50798, 59846, 54685, 72688, 53441, 51003, 67753, 51003, 55594, 51003, 53907, 71491, 52853, 51010, 50452, 50801, 55136, 56850, 61688, 62423, 51003, 55750, 51183, 55594, 51183, 53907, 51183, 51728, 51122, 51187, 50962, 51809, 50798, 54546, 58745, 58559, 55998, 54494, 51559, 71712, 50798, 54494, 61822, 62423, 76782, 57073, 50901, 55750, 51003, 52998, 51003, 53787, 58955, 52634, 52217, 59071, 54685, 55998, 54494, 62426, 53441, 51003, 67753, 51003, 56201, 51003, 53907, 51003, 52855, 51122, 51559, 78780, 52855, 51122, 62223, 58559, 51003, 55594, 51183, 59059, 51183, 53283, 51183, 57207, 50962, 52591, 57755, 57353, 51508, 55447, 58559, 54777, 54685, 50901, 55594, 51003, 53787, 51003, 55636, 58955, 51864, 56341, 56256, 55998, 51820, 54025, 51003, 56201, 51003, 59059, 51003, 53283, 71491, 51864, 79738, 50798, 52716, 62267, 58559, 51003, 55594, 51183, 59059, 51183, 53283, 51183, 57207, 51010, 53069, 57755, 57353, 52873, 50962, 50425, 58559, 50901, 50431, 54685, 50901, 55594, 51003, 53787, 51003, 55636, 58955, 52217, 51010, 50436, 50798, 60831, 56256, 50901, 50442, 54025, 51003, 56201, 51003, 59059, 51003, 53283, 71491, 52304, 59788, 50798, 65603, 58559, 51003, 55594, 51183 ]

[ 0, 250, 13363, 28191, 5175, 2214, 14, 28337, 4785, 9, 3152, 6, 2351, 41, 9066, 8, 15352, 30054, 5466, 4, 20, 15229, 6, 278, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 30853, 23, 41, 178, 5285, 20889, 4, 20, 3459, 9590, 8, 21072, 4477, 159, 10, 2705, 4811, 6, 150, 5, 38668, 11212, 6, 2342, 4467, 6, 8, 36075, 8669, 35810, 25210, 13171, 9, 2369, 4, 20, 33215, 16739, 9, 230, 6, 272, 6, 274, 401, 6, 8, 211, 3639, 5581, 7, 5, 2125, 6, 21778, 5, 30443, 7, 10, 3366, 3341, 6, 2933, 6, 8, 23975, 18747, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 50796, 50799, 65638, 51184, 54522, 51732, 53953, 51184, 52693, 51009, 53361, 51732, 58009, 52132, 52707, 56231, 63678, 53405, 58009, 52520, 52707, 50837, 51510, 52373, 59825, 51843, 52369, 72886, 52497, 52707, 55028, 58009, 52373, 50863, 51361, 53940, 52707, 54034, 58009, 52373, 53018, 52507, 51009, 58009, 52497, 52707, 56755, 63678, 78223, 54697, 52707, 54673, 58009, 52373, 50863, 51382, 51239, 52859, 52707, 50863, 51647, 52373, 50863, 51453, 52497, 52707, 55053, 58009, 52373, 57243, 51854, 52431, 50799, 62251, 51184, 52583, 51184, 52507, 51036, 55831, 51422, 54240, 51692, 53136, 51161, 58009, 52132, 52707, 50837, 50778, 50273, 51748, 50752, 50282, 51469, 50417, 63678, 53405, 58009, 52520, 52707, 50837, 51510, 52373, 50863, 72886, 52497, 52707, 55028, 58009, 52373, 50863, 51361, 53940, 52707, 54034, 58009, 52373, 50863, 51658, 51539, 52497, 52707, 56755, 63678, 78223, 54697, 52707, 54673, 58009, 52373, 50863, 51382, 51239, 52859, 52707, 50863, 51647, 52373, 50863, 51453, 52497, 52707, 55053, 58009, 52373, 50863, 50799, 65638, 51184, 54522, 51732, 53953, 51184, 52693, 51009, 53361, 79220, 56630, 51239, 52240, 52543, 50834, 50752, 50283, 51469, 51402, 52535, 53403, 50801, 52348, 52275, 52543, 50834, 51510, 52535, 61494, 51843, 52369, 51302, 55164, 51392, 51700, 52543, 54883, 50801, 52348, 52535, 53063, 54530, 52543, 54606, 50801, 56630, 51187, 52543, 52766, 52507, 60288, 56630, 51239, 52139, 52543, 55604, 63678, 76578, 51792, 52543, 54368, 50801, 52348, 52543, 50829, 51382, 55164, 51392, 52100, 52543, 55007, 63678, 50829, 51453, 54147, 52139, 52543, 54794, 50801, 52707, 56172, 51854, 52431, 50799, 62251, 51184, 52583, 51184, 52507, 51036, 52375, 51101, 55831, 51422, 54240, 51692, 53136, 71377, 56630, 51239, 52240, 52543, 50834, 50778, 50273, 51748, 50752, 50282, 51469, 51402, 52535, 53203, 50801, 52348, 52275, 52543, 50829, 51510, 52535, 52762, 52375, 56369, 55164, 51392, 51700, 52543, 54883, 50801, 52348, 52535, 53063, 54530, 52543, 54606, 50801, 56630, 51406, 52543, 57405, 52375, 51423, 51658, 56630, 51179, 52139, 52543, 55604, 63678, 76578, 51792, 52373, 54492, 50801, 52348, 52543, 57723, 52375, 51884, 51382, 51750, 52100, 52694, 55351, 63678, 50863, 51453, 51792, 52707, 55397, 63678, 50891, 50799, 57697, 51184, 53460, 51732, 52693, 51184, 52684, 51184, 53583, 52240, 67152, 52245, 64264, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 54536, 56429, 51392, 51700, 52543, 54883, 52915, 55572, 52223, 52535, 53063, 53013, 50950, 54530, 52543, 54606, 52915, 51505, 53583, 52543, 50829, 51658, 52223, 52139, 52543, 55604, 63678, 50829, 52129, 51392, 51792, 52543, 54368, 50801, 52223, 52543, 52802, 54536, 56429, 51392, 52100, 52543, 55007, 52915, 50950, 63678, 53017, 53013, 58611, 52139, 52543, 54991, 53013, 51505, 50843, 52245, 50829, 50799, 64638, 51184, 53278, 51184, 52507, 51732, 53583, 52240, 52543, 56390, 52915, 51138, 66200, 53203, 53583, 52275, 52543, 50829, 51510, 52535, 50829, 78602, 51700, 52543, 54883, 50801, 52223, 52535, 53063, 54530, 52543, 54606, 53583, 52543, 52766, 51143, 61725, 52223, 52139, 52543, 55604, 63678, 50829, 52129, 51392, 51792, 52543, 54368, 50801, 52223, 52543, 53057, 51344, 50981, 56319, 52100, 52543, 55007, 63678, 50834, 51453, 51792, 52543, 54794, 53583, 52543, 50834, 50799, 65638, 51184, 54522, 51732, 52693, 51184, 52341, 51172, 53583, 52240, 52543, 50834, 50752, 50283, 51469, 51402, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 51843, 51419, 56319, 51700, 52543, 54883, 53445, 55572, 52223, 52535, 53063, 53453, 50950, 54530, 52543, 54606, 53445, 54168, 51392, 52543, 52766, 53453, 65426, 52223, 52139, 52543, 55604, 63678, 53162, 53445, 55719, 51392, 51792, 52543, 54368, 53453, 65426, 52223, 52543, 50829, 51899, 51392, 52100, 52543, 55007, 52915, 50950, 63678, 53017, 53453, 78053, 51792, 52543, 54991, 63678, 50829, 50799, 62251, 51184, 52583, 51184, 55831, 51422, 54240, 51692, 53136, 51161, 53583, 52240, 52543, 50834, 50778, 50273, 51748, 50752, 50282, 51469, 51402, 52535, 53203, 53583, 52275, 52543, 50829, 51510, 52535, 50829, 78602, 51700, 52543, 54883, 50801, 52223, 52535, 53063, 54530, 52543, 54606, 53583, 52543, 50829, 51658, 52223, 52139, 52543, 55604, 63678, 50829, 52129, 51392, 51792, 52543, 54368, 50801, 52223, 52543, 53057, 53926, 51090, 56319, 52100, 52543, 55007, 63678, 52920, 50852, 52139, 52543, 54794, 50843, 52245, 50834, 50799, 57697, 51184, 53460, 51732, 52693, 51184, 52684, 51184, 52375, 51295, 53583, 52240, 52543, 64264, 52535, 53403, 51634, 51177, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 51288, 51318, 52155, 56429, 51392, 51700, 52543, 54883, 51752, 55572, 52223, 52535, 53063, 51634, 51109, 51596, 50950, 54530, 52543, 54606, 51752, 51505, 53583, 52543, 52766, 52375, 69880, 52223, 52139, 52543, 55604, 63678, 53162, 51634, 51177, 53583, 51792, 52543, 54368, 50801, 52223, 52543, 52802, 51288, 51422, 52155, 56429, 51392, 52100, 52543, 55007, 51752, 50950, 63678, 53017, 51634, 51790, 51596, 58611, 52139, 52543, 54991, 51596, 51505, 50843, 52245, 50829, 50799, 64638, 51184, 53278, 51184, 52507, 51184, 53583, 52240, 52543, 57666, 53091, 51562, 50417, 51752, 51138, 66200, 53203, 55199, 51134, 53583, 52275, 52543, 50829, 51510, 52535, 50829, 78602, 51700, 52543, 54883, 50801, 52223, 52535, 53063, 54530, 52543, 54606, 55873, 53630, 51392, 52543, 52766, 55873, 59621, 52223, 52139, 52543, 58159, 53091, 51878, 50441, 63678, 53162, 58128, 50974, 53583, 51792, 52543, 54368, 50801, 52223, 52543, 53057, 55199, 50905, 56319, 52100, 52543, 55007, 63678, 52920, 55873, 51423, 50791, 51792, 52543, 54794, 53583, 52543, 50834, 50799, 65638, 51184, 54522, 51184, 52693, 51184, 52507, 51184, 58128, 51680, 53091, 51680, 53583, 52240, 52543, 50834, 50752, 50283, 51469, 51402, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 50834, 78602, 51700, 52543, 54883, 52182, 55572, 52223, 52535, 53063, 52315, 50950, 54530, 52543, 54606, 52182, 54168, 51392, 52543, 52766, 52315, 65426, 52223, 52139, 52543, 55604, 63678, 53162, 52182, 55719, 51392, 51792, 52543, 54368, 52315, 65426, 52223, 52543, 50829, 51899, 51392, 52100, 52543, 55007, 52315, 50950, 63678, 53017, 52315, 55051, 52139, 52543, 54991, 50843, 52245, 50829, 50799, 56643, 51184, 54522, 51184, 52583, 51184, 52507, 51184, 55831, 51422, 54240, 51692, 53136, 51161, 53583, 52240, 52543, 50834, 50778, 50273, 51748, 50752, 50282, 51469, 51402, 52535, 53203, 51843, 53579, 51392, 52275, 52543, 54104, 51843, 51594, 52535, 50829, 78602, 51700, 52543, 57334, 51075, 51021, 50429, 50801, 52223, 52535, 53063, 51843, 50930, 54530, 52543, 54606, 51843, 53579, 51392, 52543, 52766, 51075, 52862, 52223, 52139, 52543, 55604, 63678, 53162, 51843, 53690, 51392, 51792, 52543, 54368, 51843, 53558, 52223, 77812, 53301, 53057, 51075, 50948, 56319, 75615, 51903, 52543, 55007, 63678, 52920, 51843, 50887, 52029, 51901, 51700, 52543, 57059, 51843, 57661, 53583, 52543, 56842, 51616, 51151, 50799, 52583, 51184, 52693, 51184, 53361, 51184, 51186, 53241, 51348, 51313, 51222, 51243, 54963, 51313, 51557, 51359, 53583, 52240, 67152, 52245, 57666, 51075, 51036, 51083, 52379, 51402, 52535, 53403, 53583, 52275, 52543, 50834, 51510, 52535, 52928, 53453 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 231, 73, 398, 86, 6, 278, 11, 5, 762, 9, 163, 428, 538, 4, 83, 13305, 5723, 5, 8859, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 20, 33215, 16739, 9, 163, 428, 6, 163, 43531, 401, 6, 12608, 6, 8, 230, 31473, 41, 3722, 2842, 7, 42, 2125, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51540, 50622, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 56931, 56962, 54666, 51646, 50997, 60821, 55890, 56793, 52728, 50997, 59153, 57055, 58750, 60773, 50997, 59153, 57055, 55695, 59369, 50997, 65757, 57055, 72400, 51540, 51197, 52382, 50997, 52382, 50956, 52382, 50861, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 58509, 56962, 54666, 51646, 50997, 59153, 58750, 56793, 52728, 50997, 59153, 72778, 51147, 60773, 50997, 60821, 56793, 61241, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 51001, 52382, 50474, 50997, 64823, 60110, 50902, 72909, 50997, 64823, 54828, 57367, 50795, 51540, 50997, 76602, 72868, 50983, 50931, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 59153, 58750, 59351, 52728, 50931, 65757, 65842, 72025, 50918, 50462, 51001, 59369, 50997, 65757, 58750, 64953, 51540, 51197, 65757, 55890, 63161, 52382, 50426, 51197, 75628, 65287, 52424, 51197, 60339, 58750, 52728, 51197, 50918, 50997, 61336, 77747, 51026, 58509, 56730, 57367, 72909, 51026, 58509, 56730, 55673, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 58509, 56962, 54666, 51646, 51176, 60821, 58750, 55695, 52728, 51176, 60821, 55695, 63161, 60773, 51176, 60821, 56793, 56831, 59369, 51176, 60821, 58750, 72778, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 50906, 52382, 50474, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 57367, 50795, 51540, 51197, 76603, 74726, 50983, 50951, 57345, 51197, 58509, 56730, 57022, 51646, 51197, 60821, 56793, 61241, 52728, 51197, 60821, 56793, 61241, 60773, 51197, 60821, 72778, 51147, 59369, 51197, 60821, 56793, 61241, 50807, 51540, 51176, 60821, 58750, 55695, 52382, 70562, 60821, 58750, 52424, 51176, 60821, 58750, 52728, 51176, 72424, 72025, 77747, 51176, 58509, 54666, 59688, 72909, 51176, 58509, 54666, 59688, 50795, 51540, 50997, 76603, 74726, 50983, 50951, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 60821, 55890, 63161, 52728, 50997, 59153, 58750, 56793, 60773, 50997, 57055, 58750, 56831, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50997, 52382, 50861, 52382, 51001, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 56931, 56962, 54666, 51646, 50997, 60821, 55890, 56793, 52728, 50997, 59153, 57055, 58750, 60773, 50997, 59153, 57055, 55695, 59369, 50997, 65757, 57055, 72400, 51540, 51197, 52382, 50997, 52382, 50956, 52382, 50861, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 58509, 56962, 54666, 51646, 50997, 59153, 58750, 56793, 52728, 50997, 59153, 72778, 51147, 60773, 50997, 60821, 56793, 61241, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 51001, 52382, 50474, 50997, 64823, 60110, 50902, 72909, 50997, 64823, 54828, 57367, 50795, 51540, 50997, 76602, 72868, 50983, 50931, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 59153, 58750, 59351, 52728, 50931, 65757, 65842, 72025, 50918, 50462, 51001, 59369, 50997, 65757, 58750, 64953, 51540, 51197, 65757, 55890, 63161, 52382, 50426, 51197, 75628, 65287, 52424, 51197, 60339, 58750, 52728, 51197, 50918, 50997, 61336, 77747, 51026, 58509, 56730, 57367, 72909, 51026, 58509, 56730, 55673, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 58509, 56962, 54666, 51646, 51176, 60821, 58750, 55695, 52728, 51176, 60821, 55695, 63161, 60773, 51176, 60821, 56793, 56831, 59369, 51176, 60821, 58750, 72778, 51540, 51197, 52382, 50956, 52382, 50861, 52382, 50906, 52382, 50474, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 57367, 50795, 51540, 51197, 76603, 74726, 50983, 50951, 57345, 51197, 58509, 56730, 57022, 51646, 51197, 60821, 56793, 61241, 52728, 51197, 60821, 56793, 61241, 60773, 51197, 60821, 72778, 51147, 59369, 51197, 60821, 56793, 61241, 50807, 51540, 51176, 60821, 58750, 55695, 52382, 70562, 60821, 58750, 52424, 51176, 60821, 58750, 52728, 51176, 72424, 72025, 77747, 51176, 58509, 54666, 59688, 72909, 51176, 58509, 54666, 59688, 50795, 51540, 50997, 76603, 74726, 50983, 50951, 57345, 50997, 56931, 56962, 56645, 51646, 50997, 60821, 55890, 63161, 52728, 50997, 59153, 58750, 56793, 60773, 50997, 57055, 58750, 56831, 59369, 50997, 59153, 58750, 59351, 50807, 51540, 51197, 52382, 50997, 52382, 50861, 52382, 51001, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197, 60339, 65287, 55695, 52728, 51197, 72424, 61336, 68488, 77747, 51197, 58509, 54828, 56730, 72909, 51197, 58509, 54828, 56730, 50795, 51540, 51176, 76603, 72868, 69020, 57345, 51176, 56931, 56962, 56190, 51646, 51176, 57055, 58750, 56831, 52728, 51176, 72424, 72025, 75377, 50474, 51050, 60110, 50877, 71068, 50480, 51050, 60110, 50877, 71068, 51540, 50997, 65901, 72868, 78776, 57345, 50997, 56931, 56962, 54666, 51646, 50997, 60821, 55890, 56793, 52728, 50997, 59153, 57055, 58750, 60773, 50997, 59153, 57055, 55695, 59369, 50997, 65757, 57055, 72400, 51540, 51197, 52382, 50997, 52382, 50956, 52382, 50861, 52382, 50474, 51197, 64823, 58509, 54828, 72909, 51197, 64823, 60110, 50965, 50795, 51540, 51197, 76603, 64464, 74726, 57345, 51197, 58509, 59625, 56036, 51646, 51197 ]

[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3495, 6, 6670, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 38668, 11212, 8, 22052, 6, 3459, 8669, 6, 18558, 6, 8, 31391, 1672, 9590, 11739, 21040, 9997, 6, 150, 5, 7212, 20889, 9, 5962, 13410, 228, 2289, 11, 204, 73, 306, 86, 6543, 4719, 5, 2125, 12741, 17359, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 6, 5, 33215, 16739, 9, 163, 428, 6, 274, 6, 12608, 17992, 7, 63, 32625, 13569, 9862, 6, 442, 24, 10, 1969, 1349, 13, 10963, 24088, 50, 6218, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50799, 52233, 52096, 52606, 51801, 51716, 52096, 52471, 52337, 53034, 52096, 53560, 75240, 53560, 58671, 53560, 66182, 53560, 55394, 53560, 59993, 53560, 56037, 53560, 64783, 53560, 53272, 53560, 61822, 53560, 58594, 53560, 64205, 53560, 54860, 53560, 61075, 53560, 56524, 53560, 59380, 53560, 53945, 53560, 66116, 53560, 57917, 53560, 61285, 53560, 54394, 53560, 59763, 53560, 57291, 53560, 58914, 53560, 53996, 53560, 64732, 53560, 60554, 53560, 64461, 53560, 55370, 53560, 59972, 53560, 56551, 53560, 60863, 53560, 50864, 50799, 53560, 79171, 53560, 59834, 53560, 64523, 53560, 55772, 53560, 62488, 53560, 55470, 53560, 60417, 53560, 53272, 53560, 66796, 53560, 59399, 53560, 75988, 53560, 54854, 53560, 64248, 53560, 57869, 53560, 59380, 53560, 53980, 52879, 67203, 52879, 57917, 52879, 61285, 52879, 55368, 52879, 63319, 52879, 56197, 52879, 58914, 52879, 53996, 58622, 66056, 58622, 57186, 58622, 62356, 58622, 55735, 58622, 66460, 58622, 59934, 58622, 60863, 58622, 50971, 50799, 57380, 51717, 53560, 50886, 50416, 53560, 64280, 53560, 68353, 53560, 54819, 53560, 62488, 53560, 57559, 53560, 64942, 53560, 54317, 53560, 77045, 53560, 59399, 53560, 66059, 53560, 54854, 53560, 62692, 53560, 59068, 53560, 64964, 53560, 54728, 53560, 66116, 53560, 61173, 53560, 61285, 53560, 55434, 53560, 63319, 53560, 57291, 53560, 69698, 53560, 54915, 53560, 64732, 53560, 60554, 53560, 64461, 53560, 55370, 53560, 59972, 53560, 56551, 53560, 60863, 53560, 50864, 50799, 53560, 71768, 53560, 59834, 53560, 70843, 53560, 55772, 53560, 62488, 53560, 57559, 53560, 64942, 53560, 54317, 53560, 77045, 53560, 59399, 53560, 75988, 53560, 55286, 53560, 63520, 53560, 57039, 53560, 65219, 53560, 54728, 58725, 50941, 50440, 58725, 63231, 58725, 69869, 58725, 55368, 58725, 63319, 58725, 57291, 58725, 63155, 58725, 54939, 53560, 78127, 53560, 60554, 53560, 64461, 53560, 55735, 53560, 59972, 53560, 56551, 53560, 58449, 54064, 52122, 52072, 51801, 53560, 50864, 50799, 52547, 52096, 52879, 75245, 52879, 62399, 52879, 70843, 52879, 55772, 52879, 62488, 52879, 57559, 52879, 64942, 52879, 54317, 52879, 77045, 52879, 59399, 52879, 66059, 52879, 54854, 52879, 62692, 52879, 59068, 52879, 64964, 52879, 54728, 52879, 66116, 52879, 61173, 52879, 61285, 52879, 55434, 52879, 63319, 52879, 57291, 52879, 69698, 52879, 54915, 52879, 64599, 52879, 57186, 52879, 62356, 52879, 54232, 52879, 59972, 52879, 59934, 52879, 60863, 52009, 51717, 52879, 50904, 50799, 52879, 75245, 52879, 62399, 52879, 70843, 52879, 54819, 52879, 68684, 52879, 56295, 52879, 64462, 52879, 54654, 52879, 70898, 52879, 61036, 52879, 64463, 52879, 55487, 52879, 62692, 52879, 59068, 52879, 66861, 52879, 55108, 52146, 76428, 52146, 63231, 52146, 67762, 52146, 55368, 52146, 63319, 52146, 57291, 52146, 63155, 52146, 54939, 51891, 79859, 51891, 60754, 51891, 68935, 51891, 55735, 51891, 66460, 51891, 59934, 51891, 60863, 51891, 50971, 50799, 64724, 52122, 52391, 50971, 50416, 52391, 70261, 52391, 51000, 50419, 52391, 55650, 52391, 66806, 52391, 58116, 52391, 64761, 52391, 54689, 52391, 70898, 52391, 61036, 52391, 64463, 52391, 55487, 52391, 62692, 52391, 59068, 52391, 64964, 52391, 55108, 52391, 76428, 52391, 63780, 52391, 69869, 52391, 55434, 52391, 70042, 52391, 57291, 52391, 71487, 50773, 50285, 51894, 50449, 52391, 54939, 52391, 78127, 52391, 61096, 52391, 68935, 52391, 55293, 52391, 62298, 52391, 61545, 52391, 65540, 52391, 50971, 50799, 52391, 50971, 50416, 52391, 66981, 52391, 51000, 50419, 52391, 58333, 52391, 67643, 52391, 63521, 52391, 69645, 52391, 56323, 52391, 72925, 52391, 68364, 52391, 51126, 50431, 52391, 60838, 52391, 75116, 52391, 66129, 52391, 70008, 52391, 60438, 52391, 78692, 52391, 74594, 52391, 51128, 50443, 52391, 62232, 52391, 77388, 52391, 67676, 52391, 51297, 50449, 52391, 60258, 52391, 51297, 50452, 52391, 51297, 50453, 52391, 51297, 50455, 52391, 61114, 52391, 51319, 50458, 52391, 67084, 52391, 51319, 50461, 52391, 51319, 54293, 52121, 57381, 50937, 58270, 50419, 54645, 57629, 54645, 60330, 53063, 54645, 54975, 50920, 54189, 59601, 51212, 57702, 50834, 50740, 50331, 68464, 52290, 50866, 51722, 50955, 50740, 50335, 50987, 50461, 59601, 51212, 50799, 51722, 51542, 52290, 51391, 57718, 50740, 50336, 51006, 50419, 50740, 50331, 51212, 50420, 50740, 50335, 51884, 50425, 50740, 50335, 50987, 55057, 59651, 50740, 50336, 57018, 51567, 51775, 53811, 51645, 59601, 52731, 50437, 50740, 50335, 51884, 50438, 50920, 53858, 51722, 51097, 52290, 51097, 50449, 59601, 52731, 57702, 53555, 57381, 50845, 55609, 52121, 59394, 68680, 54213, 54486, 50955, 50425, 54486, 50978, 55057, 53063, 54486, 51363, 50438, 50920, 54189, 53953, 54058, 73550, 54165, 53586, 51567, 50978, 53811, 51058, 53465, 78971, 53953, 50892, 50799, 51567, 51391, 53811, 51542, 57718, 56679, 51177, 50419, 54165, 54644, 53465, 51051, 50425, 53465, 50977, 55057, 50834, 54165, 51862, 50431, 56679, 67772, 51612, 51253, 53755, 50915, 53465, 52731, 50437, 53465, 58946, 58270, 50443, 54165, 51862, 50444, 51567, 51097, 53811, 51709, 53465, 65589, 53465, 52731, 57702, 60570, 56716, 51423, 50461, 55562, 51101, 53465, 51004, 54983, 52096, 58270, 50419, 54645, 57104, 54645, 69163, 53063, 54645, 54975, 50920, 54189, 53361, 51212, 57702, 50834, 53679, 66913, 55796, 73827, 53361, 51212, 50799, 57718, 59601, 51328, 50419, 53679, 51242, 50420, 67931, 50972, 50425, 55796, 53770, 73550, 59601, 51074, 50431, 59601, 75925, 54645, 51006, 55796, 51365, 50437, 67931, 54938, 59394, 51212, 51567, 51043, 58270, 53679, 51824, 50443, 59601, 59837, 59601, 52192, 50446, 57381, 51233, 51722, 51212, 50449, 55796, 51365, 57702, 50863, 55796, 51252, 50454, 55562, 51233, 51986, 51645, 50455, 53361, 51550, 53679, 51824, 50461, 59601, 52192, 54293, 53082, 59394, 51047, 51567, 51314, 58270, 50419, 55796, 78269, 53361, 51550, 55057, 53040, 57381, 52151, 51722, 51314, 50920, 54189, 59601, 56989, 73550, 50740, 50331, 77146, 50740, 50335, 67163, 59601, 51074, 50799, 57718, 50740, 50336, 50892, 50419, 50740, 50331, 51481, 50420, 50740, 50335, 50905, 50425, 50740, 50335, 52688, 73550, 50740, 50331, 50972, 50431, 50740, 50336, 54100, 59601, 51210, 50437, 50740, 50335, 54137, 58270, 50740, 50335, 51432, 50443, 50740, 50331, 57997, 51727, 51079, 50740, 50331, 52179, 50449, 59601, 62911, 51338, 55468, 50863, 59601, 51269, 50455, 50740, 50335, 51432, 50456, 51533, 50978, 50461, 50740, 50331, 52179, 54293, 52121, 51436, 50822, 57381, 50937, 58270, 50419, 54645, 50942, 59601, 64080, 51436, 57252, 51436, 52101, 54645, 60330, 53063, 51436, 51524, 54645, 54975, 51436, 74252, 54189, 51436, 51123, 59601, 67426, 51436, 61005, 50834, 50740, 50331, 68464, 51436, 50907, 52290, 50866, 51722, 50955, 50740, 50335, 50987, 50461, 59601, 51212, 50799, 51436, 50827, 51513, 50851, 51722, 51542, 52290, 51391, 57718, 50740, 50336, 51006, 50419, 50740, 50331, 51212, 50420, 51436, 50907, 50740, 50335, 51884, 50425, 50740, 50335, 58192, 51436, 57821, 59651, 50740, 50336, 57018, 51436, 51524, 51513, 50933, 51567, 51775, 53811, 51645, 59601, 52731, 50437, 50740, 50335, 51884, 50438, 51436, 63873, 53858, 51436, 51297, 51722, 51097, 52290, 51097, 50449, 59601, 52731, 50450, 80172, 51513, 51524, 50843, 53555, 80172, 57381, 50845 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 7212, 20889, 6, 278, 11, 5, 762, 9, 12608, 3694, 8, 4246, 10, 204, 73, 306, 86, 6543, 4, 20, 15229, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 5, 1007, 9, 657, 7, 5, 36474, 13005, 9, 26545, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 163, 428, 6, 2060, 401, 6, 274, 119, 6, 8, 274, 10431, 119, 1176, 406, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 52046, 51036, 51197, 51036, 51001, 52115, 50906, 51631, 51001, 51736, 50906, 51646, 51001, 51918, 50906, 51798, 51001, 51923, 50906, 50795, 75697, 51036, 51360, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 71910, 51036, 51234, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 50799, 54637, 51036, 51324, 51036, 50973, 52115, 50906, 51631, 50973, 51736, 50906, 51646, 50973, 51918, 50906, 51798, 50973, 51923, 50906, 50795, 61504, 51036, 51197, 51036, 51001, 52115, 50906, 51631, 51001, 51736, 50906, 51646, 51001, 51918, 50906, 51798, 51001, 51923, 50906, 50795, 75697, 51036, 51360, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 71910, 51036, 51234, 51036, 51028, 52115, 50906, 51631, 51028, 51736, 50906, 51646, 51028, 51918, 50906, 51798, 51028, 51923, 50906, 50795, 50799, 54637, 51036, 51324, 51036, 50973, 52115, 50906, 51631, 50973, 51736, 50906, 51646, 50973, 51918, 50906, 51798, 50973, 51923, 50906, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 8787, 3495, 8, 5175, 15229, 6, 42, 15352, 30054, 2125, 7630, 6568, 10, 1472, 9, 26545, 8, 657, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 8504, 11, 83, 3694, 19, 10, 2635, 20889, 9, 1812, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 8, 1918, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 51120, 51492, 54578, 56039, 50916, 51413, 50459, 50900, 50867, 55331, 51472, 50899, 52821, 50437, 51146, 51189, 50455, 51062, 73827, 51220, 51189, 77033, 50951, 69876, 50999, 51058, 50437, 50871, 51183, 50440, 50951, 58991, 50999, 52071, 54594, 51413, 50435, 50916, 58566, 50899, 51492, 50439, 50902, 50918, 62529, 51413, 50435, 51062, 57577, 51220, 51218, 50456, 50951, 50987, 50460, 50999, 51006, 52177, 50951, 68655, 50999, 53413, 57019, 51127, 55524, 51413, 50435, 50900, 54957, 50902, 65842, 52903, 62529, 79763, 51062, 54137, 51220, 51115, 50455, 50951, 73316, 50999, 50987, 54578, 51127, 50416, 64075, 50419, 50999, 51313, 57267, 51562, 50458, 61022, 54206, 51469, 50416, 50902, 51413, 50438, 51146, 51127, 55331, 50811, 51120, 51285, 51120, 68900, 51103, 51340, 51610, 50981, 50417, 50902, 52734, 50951, 50880, 67813, 54252, 50999, 52207, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 50890, 51892, 50431, 50951, 56629, 50951, 50890, 67813, 54378, 50999, 51045, 53673, 50437, 50968, 60610, 51120, 51285, 51026, 50918, 51340, 51610, 77052, 50902, 54952, 50951, 50962, 67813, 55118, 50999, 52153, 54626, 50931, 50975, 51340, 51610, 50981, 51647, 53820, 67813, 50822, 74263, 55331, 53819, 50294, 51472, 50931, 51244, 51120, 51196, 51340, 51610, 50981, 50417, 50902, 55180, 50951, 50962, 67813, 54252, 50999, 52633, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 51864, 63605, 50951, 55736, 50951, 50890, 67813, 54378, 50999, 51805, 73425, 50951, 51244, 66240, 51364, 51026, 50918, 51340, 51610, 77052, 50902, 52284, 50951, 50962, 67813, 55118, 50999, 51864, 54626, 51146, 50975, 51340, 51610, 50981, 51647, 53820, 67813, 50822, 74263, 55331, 50811, 51120, 51285, 51120, 51336, 50999, 51080, 51340, 51610, 50981, 50417, 50902, 52734, 50951, 50880, 67813, 54252, 50999, 52207, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 50890, 51892, 50431, 50951, 56629, 50951, 50890, 67813, 54378, 50999, 51045, 53673, 66240, 51285, 51026, 50918, 51220, 51148, 51340, 51610, 77052, 50902, 54952, 50951, 50962, 67813, 55118, 50999, 52153, 54626, 50931, 50975, 51340, 51610, 50981, 51647, 53820, 67813, 50822, 74263, 55331, 53819, 50294, 51472, 51120, 50918, 51120, 50918, 51062, 51244, 51340, 51610, 50981, 50417, 50902, 55180, 50951, 50962, 67813, 54252, 50999, 52633, 54504, 51062, 50962, 51340, 51610, 50981, 50429, 51220, 51864, 63605, 50951, 55736, 50951, 50890, 67813, 54378, 50999, 51805, 54584, 51120, 51336, 51120, 51336, 51146, 51148, 51935, 52526, 50930, 51382, 55577, 51935, 52526, 50930, 68176, 51091, 51085, 51091, 51935, 52526, 72255, 51062, 51310, 51302, 56629, 51214, 55362, 51214, 55362, 51146, 53363, 51935, 52526, 50930, 50796, 52320, 50932, 51647, 56109, 51275, 52167, 50852, 50981, 50459, 51435, 51319, 58359, 69858, 51517, 50294, 51183, 71578, 50877, 51244, 51578, 51862, 50801, 55456, 54772, 56624, 51236, 50851, 54569, 62252, 51879, 50282, 51116, 51578, 51851, 78169, 51027, 51191, 51895, 51369, 65145, 51578, 54848, 50426, 51120, 62265, 51594, 55658, 50899, 62465, 62073, 52658, 51799, 69180, 50845, 51275, 51851, 51190, 51372, 54378, 51799, 52236, 50294, 50840, 51435, 51319, 51895, 51372, 53269, 51214, 73587, 61434, 68839, 50866, 51516, 52192, 51976, 55210, 53103, 50861, 76509, 69180, 50959, 62958, 79623, 51214, 51235, 51516, 51851, 67813, 50810, 51618, 77047, 51516, 53010, 50450, 51062, 74540, 62265, 51594, 55874, 50861, 67046, 51879, 50327, 64792, 66968, 51275, 66614, 51214, 61930, 50855, 61620, 63105, 51435, 79440, 50999, 75978, 52717, 50299, 53345, 51420, 55073, 50851, 58359, 73587, 51517, 50294, 51183, 71578, 50877, 51244, 51516, 52192, 51976, 55210, 56624, 51236, 50851, 54569, 66824, 60611, 50809, 51799, 51235, 51516, 51851, 78169, 51027, 51191, 51578, 51319, 51895, 51369, 50810, 51302, 51594, 59749, 51516, 52192, 50429, 50899, 62847, 68344, 55850, 52658, 51799, 66675, 50845, 51435, 51297, 51190, 51372, 54112, 51799, 52717, 50294, 50904, 51895, 51372, 65598, 51275, 54228, 50438, 51214, 50821, 50861, 71169, 51183, 50973, 51145, 50902, 51244, 51976, 55210, 56358, 51236, 53743, 50861, 76509, 51879, 50287, 51116, 67813, 54672, 50899, 51191, 53673, 50450, 51062, 74540, 62265, 51594, 55874, 50861, 67046, 51879, 50327, 54232, 51214, 67495, 61368, 50845, 51275, 62071, 55300, 54678, 50999, 75978, 52236, 50299, 50840, 51435, 50365, 51657, 50851, 58359, 50821, 51120, 51127, 51578, 52192, 51976, 55210, 56624, 51236, 50851, 54569, 65124, 51804, 50282, 51116, 51578, 51319, 78169, 51027, 51241, 51895, 51369, 65145, 51578, 53726, 51302, 51594, 55658, 51236, 58779, 50899, 60953, 52927, 51799, 69180, 59704, 50974, 51275, 51550, 51190, 51372, 54378, 51799, 50880, 51435, 51319, 51895, 51372, 65598, 51120, 54927, 51214, 69858, 61434, 68839, 50866, 51516, 52192, 51976, 55210, 53103, 50861, 72475, 74336, 50959, 62958, 79623, 51214, 51116, 51516, 51319, 67813, 54803, 51516, 53726, 53673, 50450, 51062, 54472, 51594, 55874, 51220, 64792, 65732, 50861, 65921, 53173, 51214, 67495, 50855, 51275, 51319, 61620, 54846, 50999, 75978, 50880, 51435, 75307, 51420, 55073, 65019, 51026, 50941, 58359, 50921, 51027, 52015, 50899, 52140, 50871, 51662, 50877, 51662, 51120, 51313, 51516, 51862, 51976, 55210, 56624, 51236, 54711, 50871, 66877, 63100, 50809, 51799, 50980, 51516, 51319, 78169, 51435, 51319, 51895, 51369, 52654, 51516, 51862, 50804, 51594, 55658, 50877, 68411, 60365, 59004, 52658, 51799, 50836, 51837, 52192, 51190, 51372, 54112, 51799, 51879, 50294, 51421, 55073, 53269, 50877, 60500, 62221, 51581, 50282, 50952, 51578, 54211, 51976, 55210, 56358, 51236, 53743, 51120, 51879, 50282, 51603, 51027, 51091, 67813, 54672, 50871, 61299, 60500, 55476, 52843, 51062, 54472, 51594, 55874, 51120, 52640, 50327, 67954, 51177, 76329, 50877, 67773, 51799, 67679, 62464, 59459, 62271, 50855, 51275, 62071, 55300, 54678, 50999, 50884, 51799, 50890, 51489, 50365, 51657, 50851, 54662, 52545, 50302, 51427, 50871, 51517, 50290, 51183, 50906, 51145, 50902, 51244, 51435, 52192, 50801, 55456, 54772, 56624, 51236, 54711, 51234, 51235, 51435, 51319, 78169, 50899, 51111, 50899, 51191, 51578, 53726, 51895, 51369, 50810, 51302, 51594, 55658, 51236, 52658, 51234, 63307, 62054, 50845, 51435, 52192, 51190, 51372, 54378, 51234, 50962, 51895, 51372, 64704, 50916, 51356, 62275, 77886, 61650, 61434, 50866, 51489, 53577, 51976, 55210, 53103, 62766, 67946, 62958, 51085, 51235, 67813, 50810, 51618, 50907, 51382, 51594, 55874, 51236, 53820, 51085, 50836, 51153, 51252, 61620, 54846, 51085, 50962, 51275, 71747, 51420, 55073, 50851, 55547, 66728, 75319, 51517, 50289, 51183, 50861, 51145, 50877, 51244, 51489, 52192, 51976, 55210, 56624, 51236, 54711, 50916, 67858, 51116, 51489, 51319, 78169, 50861, 50967, 51027, 51191, 51895, 51369, 65145, 51516, 51387, 51302, 51594, 55658, 51236, 52658, 51279, 51879, 50305, 57069, 50806, 51516, 52731, 51190, 51372, 54112, 51279, 51864, 55073, 53269, 51799, 69858, 60898, 59437, 66867, 51336, 51435, 53577, 51976, 55210, 56358, 51236, 53743, 69505, 61522, 64645, 51799, 51116, 67813, 72853, 50907, 51382, 51594, 52955, 51799, 50890, 51275, 62071, 55300, 54678, 51799, 50880, 51489, 50365, 51657, 50851, 54662, 52545, 50301, 52545, 50290, 51127, 51435, 52192, 51976, 55210, 56624 ]

[ 0, 250, 19448, 5175, 25771, 2214, 4246, 4401, 757, 3178, 6, 1893, 43639, 6, 3689, 21072, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 2829, 2933, 5466, 10686, 13, 822, 4, 590, 10, 7212, 20889, 9, 16491, 741, 1685, 6, 24, 18, 11, 204, 73, 306, 86, 8, 5, 762, 9, 230, 538, 6, 21437, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 274, 6, 230, 6, 274, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50913, 55376, 50913, 52639, 50913, 55477, 50913, 52417, 50913, 52600, 50913, 55698, 50913, 52725, 50913, 55223, 50913, 52579, 50913, 50820, 51528, 52755, 62793, 53745, 50572, 50955, 50415, 50913, 53223, 52428, 52439, 53450, 50913, 65233, 50378, 63599, 53513, 51925, 50379, 53221, 50955, 51450, 52755, 65233, 53745, 50572, 63959, 53257, 54004, 50913, 78846, 54023, 50612, 53920, 51925, 78829, 50878, 51528, 52755, 50379, 53746, 58370, 68621, 50913, 53223, 52428, 52439, 67614, 55440, 50913, 65233, 50378, 63599, 52658, 51925, 50379, 63599, 67614, 60157, 52365, 50810, 51450, 52502, 50379, 53746, 58370, 53745, 50572, 58991, 52365, 52843, 50913, 65233, 53920, 59896, 72078, 78829, 50878, 50799, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 50878, 50415, 50913, 53223, 58508, 50860, 52243, 52439, 52654, 50913, 65233, 50378, 63599, 52658, 59896, 72078, 50379, 53221, 58927, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 63634, 58508, 50860, 53257, 54276, 50913, 78846, 53597, 50612, 53920, 58508, 50802, 51925, 78829, 50942, 50799, 56849, 50860, 52243, 50875, 50379, 53746, 53597, 50612, 68621, 50913, 53223, 58508, 50860, 52243, 52439, 53597, 50572, 57629, 58508, 63724, 65233, 50378, 63599, 53911, 59896, 72078, 50379, 53221, 58927, 58508, 53236, 52245, 65233, 53745, 50572, 63634, 58508, 54554, 50913, 50379, 53746, 53597, 50612, 53920, 55807, 72078, 78829, 50942, 50799, 56228, 53236, 52245, 65233, 53745, 50572, 50925, 50415, 50913, 53223, 56228, 53236, 61526, 53049, 50913, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 53221, 58866, 56228, 53236, 52245, 65233, 53745, 50572, 62063, 56228, 50860, 53257, 53639, 50913, 78846, 53376, 50612, 53920, 56228, 50802, 51925, 78829, 50925, 50799, 55398, 50860, 52613, 50875, 50379, 53746, 53376, 50612, 68621, 50913, 53223, 56228, 50860, 52613, 53746, 78829, 65647, 52365, 53049, 56228, 63724, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 54502, 78829, 58866, 56228, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 56228, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 59896, 50860, 53257, 52757, 50612, 78829, 50897, 50799, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 79069, 50913, 53223, 58508, 50860, 52613, 52439, 52710, 50913, 65233, 50378, 63599, 52749, 59896, 72078, 50379, 53221, 56057, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 58508, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 58508, 50802, 51925, 78829, 50897, 50799, 56849, 50860, 52615, 50875, 50379, 53746, 52757, 50612, 68621, 50913, 53223, 58508, 50860, 52615, 53746, 63838, 68018, 52365, 52450, 58508, 63724, 65233, 50378, 63599, 52559, 59896, 72078, 50379, 54502, 63838, 56983, 58508, 50860, 52615, 50875, 65233, 53745, 50572, 60204, 58508, 50860, 53257, 52741, 50913, 78846, 52476, 50612, 53920, 55807, 50860, 53257, 52476, 50612, 78829, 50910, 50799, 56228, 50860, 52615, 50875, 71958, 77290, 50913, 53223, 56228, 53236, 53516, 55398, 54684, 55398, 55276, 55398, 50860, 52615, 79052, 56843, 56677, 54554, 58865, 55273, 55398, 51184, 50799, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 51014, 50416, 50816, 52432, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50802, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 55807, 51009, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 78934, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56228, 50917, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 50860, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 56228, 50860, 78934, 50865, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51066, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 50937, 78934, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 56677, 51066, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 55398, 50860, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56228, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 58508, 51300, 50663, 50290, 50865, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 51066, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 50663, 50290, 50865, 53350, 50937, 54453, 50937, 53368, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51059, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50860, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 56228, 50860, 52564, 51377, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 55807, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 55807, 51066, 50663, 50285, 50865, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 50937, 50663 ]

[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 5, 762, 9, 274, 538, 6, 1931, 21683, 10, 32076, 1619, 4780, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 24897, 11739, 9, 2382, 3459, 8669, 6, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 4, 20, 16331, 33215, 16739, 9, 274, 6, 211, 119, 6, 163, 428, 401, 6, 8, 230, 406, 3639, 7, 63, 33200, 8, 33558, 2868, 6, 442, 24, 10, 1969, 2365, 8859, 13, 5, 12298, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52404, 51865, 53070, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 51007, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 50848, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 50848, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 50939, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 50848, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 50979, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53754, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 50864, 60347, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51298, 50914, 51068, 53754, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 54352, 72646, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52455, 53829, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 51007, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 50848, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 50848, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 50939, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 50848, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 50979, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53889, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 72614, 53889, 51187, 52763, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51298, 50914, 51068, 53889, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 54352, 72646, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52404, 51865, 53070, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 59709, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 54761, 80137, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 51173, 50848, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 50848, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 59709, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 64357, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 54761, 59709, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 54761, 68413, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 54761, 51227, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53754, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 56056, 51235, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 50864, 60347, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51298, 50914, 51068, 53754, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 54352, 72646, 54516, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 57045, 51124, 50939, 51124, 51007, 51124, 52455, 53829, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 54761, 80137, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 66891, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 59845, 55664, 50937, 63573, 52120, 52742, 68580, 51198, 50864, 51099, 50864, 51308, 50864, 54761, 59709, 54703, 60935, 50901, 52120, 53885, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 59709, 51159, 51471, 79144, 60014, 50917, 51007, 55441, 51198, 50827, 51099, 50864, 51308, 50864, 54761, 64357, 55196, 67513, 53754, 51187, 53650, 60357, 51198, 50827, 51099, 50864, 51308, 50827, 54761, 59709, 55969, 60014, 50917, 52120, 57077, 51007, 50917, 53870, 51362, 51561, 50864, 51099, 50864, 51308, 50827, 54761, 68413, 51124, 58966, 78957, 51298, 51124, 52120, 53336, 51561, 50864, 51099, 50886, 51308, 50827, 54761, 51175, 56894, 63255, 50979, 55269, 57638, 50812, 51298, 53425, 51561, 50886, 51099, 50864, 51308, 50864, 51298, 51177, 50909, 55969, 61122, 50917, 51068, 53889, 51187, 52975, 69053, 51561, 50864, 51099, 50864, 51308, 50874, 56056, 51158, 50979, 55969, 57750, 50849, 52120, 58685, 51298, 50849, 53357, 51226, 51280, 50864, 51144, 50864, 51119, 50864, 63364, 62814, 62615, 51257, 50914, 52120, 53885, 51280, 50864, 51144, 50864, 51119, 50864, 54761, 59806, 53889, 51187, 52763, 51280, 50864, 51144, 50864, 51119, 50864, 54761, 50887, 63364, 62814, 62615, 51298, 50914, 51068, 53889, 51187, 53650, 63042, 51280, 50827, 51144, 50827, 51119, 50827, 54761, 53672, 72646, 53596, 51362, 51198, 50827, 51144, 50864, 51308, 50864, 54761, 72201, 57045, 51124, 50939, 51124, 51007, 51124, 52404, 51865, 53070, 51198, 50827, 51144, 50864, 51308, 50864, 52372, 51343, 50848, 50833, 72274, 50848, 50833, 57896, 63230, 51007, 53425, 51198, 50864, 51144, 50864, 51308, 50864, 51007, 51267, 50939, 55664, 67513, 53754, 51187, 57982, 50848, 57356, 62696, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 55664, 50937, 63573, 52120, 52742, 73365, 51198, 50864, 51144, 50864, 51308, 50864, 51993, 70902, 55664, 60935, 50901, 52120, 53885, 51198, 50827, 51144, 50864, 51308, 50864, 50848, 51159, 51471, 50445, 50872, 60014, 50917, 51007, 55441, 51198, 50827, 51144, 50864, 51308, 50864, 50939, 56204, 67513, 53754 ]

[ 0, 250, 8787, 5175, 15229, 19, 25771, 4785, 6, 42, 15352, 30054, 2125, 30853, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 42186, 1290, 642, 5255, 6, 3459, 8669, 6, 6755, 12547, 6, 38668, 20535, 6, 8, 13305, 35810, 561, 6, 2351, 10, 5797, 990, 1506, 9, 2369, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 1007, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 6, 5, 46336, 5252, 16, 17407, 30, 5, 40286, 2060, 6, 230, 10431, 6, 8, 274, 10431, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50450, 51069, 67934, 55971, 63827, 51671, 54064, 51671, 53496, 51965, 57042, 51662, 55838, 51692, 68849, 51091, 51495, 51194, 51268, 51194, 51193, 51194, 51944, 51362, 51773, 51343, 52361, 51274, 52812, 51191, 55833, 51692, 62280, 51692, 52455, 57900, 50841, 51402, 51129, 51039, 52543, 53109, 51495, 50810, 51268, 50827, 51193, 50874, 55239, 51495, 50810, 51268, 50813, 51193, 55503, 54866, 51179, 63851, 68460, 52606, 52783, 50432, 66072, 51495, 50915, 51268, 50995, 51193, 50981, 51944, 51977, 51773, 51358, 52603, 51685, 51917, 50892, 51931, 51556, 52958, 51105, 50807, 51772, 50914, 52455, 67129, 57536, 51495, 50835, 51268, 50835, 69746, 63678, 54492, 51495, 50982, 51268, 50982, 51193, 51916, 52300, 52846, 51228, 51048, 51495, 51109, 51268, 51109, 51193, 51380, 51917, 50915, 58046, 51179, 68482, 51004, 51453, 50834, 51621, 59119, 63827, 51671, 54064, 51671, 53496, 51965, 68849, 51091, 51495, 51043, 51268, 51043, 51193, 51423, 51944, 51362, 51773, 51343, 52361, 51274, 52812, 51218, 52455, 65666, 51129, 51039, 52543, 53109, 51495, 50810, 51268, 50827, 51193, 50874, 55239, 51495, 50810, 51268, 50813, 51193, 55503, 54866, 51179, 63851, 68460, 52606, 52783, 50432, 66072, 51495, 50915, 51268, 51097, 51193, 50915, 51944, 51356, 51773, 51336, 52603, 51196, 51917, 51101, 51931, 51556, 52958, 51105, 50807, 51772, 50943, 52455, 67129, 57536, 51495, 50835, 51268, 50835, 69746, 63678, 54492, 51495, 50982, 51268, 50982, 51193, 51916, 52300, 52846, 51228, 51048, 51495, 51025, 51268, 51025, 51193, 51775, 51917, 51109, 58046, 51179, 64430, 72912, 51004, 51453, 50834, 51621, 59119, 54549, 51671, 52606, 52783, 52582, 51965, 55838, 51662, 57890, 51692, 54798, 51091, 51268, 51194, 51208, 51194, 51546, 51194, 51808, 51362, 52603, 51362, 53335, 51362, 51912, 51351, 61502, 51692, 72720, 51692, 52455, 57900, 50841, 51402, 51129, 51039, 52543, 53109, 51268, 65964, 50827, 51546, 50874, 55239, 51268, 65964, 50813, 51546, 55503, 54866, 51179, 63851, 68460, 52398, 52783, 50432, 51213, 63483, 50915, 51208, 50995, 51546, 50981, 51808, 51896, 52603, 51977, 54050, 51685, 51547, 50892, 51931, 51556, 52958, 51325, 50807, 51674, 50915, 52455, 67129, 57536, 51268, 50835, 51208, 50835, 51546, 50886, 63678, 54492, 51268, 50982, 51208, 50982, 51546, 51916, 52300, 52846, 51213, 79157, 51109, 51208, 51109, 51546, 51380, 51547, 50981, 58046, 51179, 68482, 51004, 51453, 50834, 51621, 59119, 54549, 55844, 52606, 55844, 52582, 51965, 54798, 51091, 51268, 51043, 51208, 51043, 51546, 51423, 51808, 51362, 52603, 51362, 53335, 51362, 51912, 51134, 52455, 65666, 51129, 51039, 52543, 53109, 51268, 65964, 50827, 51546, 50874, 55239, 51268, 65964, 50813, 51546, 55503, 54866, 51179, 63851, 68460, 52398, 52431, 50432, 51213, 63483, 50915, 51208, 51097, 51546, 50915, 51808, 51336, 52603, 51336, 54050, 51196, 51547, 50845, 51931, 51556, 52958, 51325, 50807, 51674, 51351, 52455, 67129, 57536, 51268, 50835, 51208, 50835, 51546, 50886, 63678, 54492, 51268, 50982, 51208, 50982, 51546, 51916, 52300, 52846, 51186, 50983, 51268, 51115, 51208, 51115, 51546, 51477, 51547, 51115, 58046, 51179, 64430, 72912, 51004, 51453, 50834, 51621, 50908, 80086, 57900, 50841, 51402, 51129, 51039, 52543, 58092, 63827, 51671, 54064, 51671, 53496, 51965, 57042, 51662, 55838, 51692, 50422, 53344, 51091, 51495, 51194, 51268, 51194, 51193, 51194, 51944, 51362, 51773, 51343, 52361, 51274, 52812, 51241, 55833, 51692, 62280, 51692, 50423, 55239, 58046, 51179, 63851, 68460, 51495, 50810, 51268, 50827, 51193, 50874, 51361, 56512, 51495, 50810, 51268, 50813, 69746, 51556, 50908, 51658, 51179, 55698, 52606, 52783, 50440, 66072, 51495, 50915, 51268, 50995, 51193, 50981, 51944, 51977, 51773, 51358, 52603, 51685, 51917, 50892, 51572, 51129, 51180, 52543, 59279, 51105, 50807, 51772, 50915, 50447, 54257, 52846, 58046, 51179, 63075, 51495, 50835, 51268, 50835, 69746, 51647, 67521, 51495, 50982, 51268, 50982, 51193, 50837, 51453, 57029, 51228, 51048, 51495, 51109, 51268, 51109, 51193, 51380, 51917, 50915, 51621, 50908, 80086, 65666, 51129, 51039, 52543, 58092, 63827, 51671, 54064, 51671, 53496, 51965, 50422, 53344, 51091, 51495, 51043, 51268, 51043, 51193, 51423, 51944, 51362, 51773, 51362, 52361, 51226, 52812, 51134, 50423, 55239, 58046, 51179, 63851, 68460, 51495, 50810, 51268, 50827, 51193, 50874, 51361, 56512, 51495, 50810, 51268, 50813, 69746, 51556, 50908, 51658, 51179, 55698, 52606, 52783, 50440, 66072, 51495, 50915, 51268, 51097, 51193, 50915, 51944, 51356, 51773, 51336, 52603, 51196, 51917, 50845, 51572, 51129, 51180, 52543, 59279, 51105, 50807, 51772, 50915, 50447, 54257, 52846, 58046, 51179, 64430, 60752, 51495, 50835, 51268, 51008, 69746, 51647, 67521, 51495, 50982, 51268, 54521, 51193, 50837, 51453, 57029, 51228, 50879, 51495, 51025, 51268, 51025, 51193, 51775, 51917, 50892, 51621, 50908, 80086, 57900, 70325, 65456, 52000, 50987, 51402, 51129, 51039, 52543, 58092, 53496, 51671, 51821, 51671, 52398, 51965, 57539, 51662, 62280, 51692, 50422, 51228, 51091, 51281, 51194, 51385, 51194, 51530, 51194, 52361, 51294, 52327, 51343, 54050, 51274, 51917, 51241, 60750, 51692, 69338, 51692, 50423, 55239, 58046, 51179, 63851, 68460, 51281, 50810, 51385, 50827, 51530, 50874, 51361, 56512, 51281, 50810, 51385, 79599, 50886, 51556, 50908, 51658, 51179, 55698, 52072, 52783, 50440, 66195, 51281, 50915, 51385, 50995, 51530, 50981, 52361, 51896, 52327, 51896, 54258, 51977, 51674, 51101, 51572, 51129, 51180, 52543, 59279, 51186, 50807, 51408, 50915, 50447, 54257, 52846, 58046, 51179, 63075, 69511, 51385, 50835, 51530, 50886, 51647, 67521, 51281, 50982, 51385, 50982, 51530, 50837, 51453, 57029, 51325, 51112, 51281, 51109, 51385, 51109, 51530, 51380, 51674, 50915, 51621, 50908, 80086, 65666, 51129, 51039, 52543, 58092, 53496, 51671, 51821, 51671, 52398, 51965, 50422, 51228, 51091, 51281, 51043, 51385, 51043, 51530, 51423, 52361, 51294, 52327, 51362, 54050, 51362, 51917, 51351, 50423, 55239, 58046, 51179, 63851, 68460, 51281, 50810, 51385, 50827, 51530, 50874, 51361, 56512, 51281, 50810, 51385, 79599, 50886, 51556, 50908, 51658, 51179, 55698, 52072, 52783, 50440, 66195, 51281, 50915, 51385, 51097, 51530, 50915, 52361, 51336, 52327, 51356, 54258, 51356, 51674, 50845, 51572, 51129, 51180, 52543, 59279, 51186, 50807, 51408, 50943, 50447, 54257, 52846, 58046, 51179, 64430, 60752, 69511, 51385, 50835, 51530, 50886, 51647, 67521, 51281, 50982, 51385, 50982, 51530, 50837, 51453, 57029, 51325, 51048, 51281, 51109, 51385, 51109, 51530, 51097, 51674, 51312, 51621, 50908, 80086, 57900, 50841, 51402, 51129, 51039, 52543, 58092, 63827, 51293, 54064, 51293, 53496, 51310, 50422, 53344, 51091, 51495, 51194, 51268, 51194, 51193, 51194, 51944, 51204, 51773, 51141, 52361, 50983, 52812, 51134, 50423, 55239, 58046, 51179, 63851, 68460, 51495, 50810, 51268, 50827, 51193, 50874, 51361, 56512, 51495, 50866, 51268, 50866, 51193, 51058, 51556, 50908, 51658, 51179, 55698, 52606, 51742, 50440, 66072, 51495, 50915, 51268, 50995, 51193, 50981, 51944, 51623, 51773, 51591, 52603, 51358, 51917, 50974, 51572, 51129, 51180, 52543, 59279, 51105, 50807, 51772, 50915, 50447, 54257, 52846, 58046, 51179, 63075, 51495, 50835, 51268, 51008, 69746, 51647, 67521, 51495, 50982, 51268 ]

[ 0, 250, 15855, 19834, 15229, 14, 7630, 6568, 41, 9066, 8, 25306, 5466, 6, 4246, 5, 41106, 154, 23225, 9, 1021, 5901, 1243, 6, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 2370, 21305, 6, 8, 17691, 28430, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 30853, 23, 41, 178, 5285, 20889, 6, 2351, 10, 1472, 9, 9733, 8, 15073, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 55052, 50952, 52143, 51991, 52143, 51991, 51299, 51991, 51299, 51991, 53865, 50857, 53865, 50857, 59878, 50855, 59878, 65600, 53436, 58172, 52890, 50977, 54895, 54351, 53039, 51148, 53865, 50867, 53865, 50867, 59878, 50867, 59878, 69150, 52697, 51486, 50423, 52890, 52670, 50832, 58175, 50832, 61171, 52481, 50974, 52481, 50974, 50455, 62583, 50884, 51426, 50845, 51426, 50845, 50460, 52371, 52071, 52371, 52071, 50461, 62583, 50811, 55052, 50859, 53436, 50813, 51251, 51605, 51251, 51605, 51601, 52890, 50833, 50416, 54895, 72531, 52697, 52536, 53039, 51742, 56957, 78881, 53865, 50828, 53865, 50828, 55253, 50846, 55253, 61385, 53865, 50895, 53865, 50895, 55253, 50949, 55253, 69824, 53865, 50961, 53865, 50961, 55253, 50817, 55253, 58977, 50832, 72091, 79538, 79538, 52481, 51328, 52481, 77228, 62583, 55971, 62583, 50811, 51299, 52069, 51299, 52069, 52143, 51945, 52143, 51945, 50799, 53436, 50810, 55052, 50858, 50416, 54895, 50821, 52890, 50955, 50419, 53039, 75504, 52697, 52097, 50425, 50832, 76973, 50832, 78780, 52566, 57924, 51638, 51277, 51638, 51277, 52602, 51043, 52602, 69780, 62583, 50884, 53267, 50855, 53865, 50883, 53865, 50883, 55253, 50895, 55253, 60744, 56882, 50840, 61779, 50840, 52890, 51227, 52776, 51145, 52776, 51145, 53865, 50949, 53865, 50949, 55253, 50949, 55253, 50949, 50799, 57441, 51552, 59247, 51552, 57017, 50845, 50722, 50287, 50845, 61331, 50845, 77989, 50845, 62583, 50811, 55228, 50845, 51699, 51447, 51699, 51447, 50419, 53865, 50817, 53865, 50817, 55253, 50817, 55253, 52302, 55282, 50845, 79046, 50845, 54108, 50845, 62655, 50845, 53472, 53172, 52664, 50892, 61331, 50892, 52278, 50892, 58048, 57161, 51031, 52650, 50892, 50431, 58343, 50849, 71801, 53308, 55282, 50892, 79046, 50892, 54108, 50892, 62655, 50892, 53472, 50892, 50437, 56882, 50983, 61779, 50983, 53623, 51145, 53623, 51145, 52316, 51244, 52316, 68116, 56636, 51336, 50722, 50295, 51336, 54649, 51336, 68611, 51336, 54969, 51336, 64155, 54210, 56882, 50855, 61779, 50855, 62583, 67239, 57441, 50810, 59247, 54678, 58343, 50836, 71801, 59026, 58591, 51295, 62920, 51295, 62583, 50811, 51299, 51244, 51299, 51244, 52143, 51145, 52143, 51145, 50799, 57017, 50805, 50722, 50287, 50805, 61331, 50805, 77989, 50805, 55228, 52864, 55282, 50905, 79046, 50905, 54108, 50905, 62655, 50905, 53472, 54335, 52664, 50901, 61331, 50901, 52278, 50901, 58048, 59510, 50961, 52650, 50901, 50431, 58343, 50925, 71801, 58191, 52970, 51060, 58811, 51060, 52186, 51060, 59017, 51060, 53267, 51060, 50435, 57441, 50844, 59247, 61842, 52371, 51077, 52371, 51077, 51251, 51047, 51251, 60610, 57171, 51077, 61454, 51077, 51963, 51077, 54108, 51077, 51900, 51077, 56334, 51077, 52697, 66336, 50832, 57859, 62583, 50818, 53865, 50949, 53865, 50949, 55253, 51031, 55253, 78360, 56882, 50813, 61779, 50813, 62583, 50811, 52776, 51148, 52776, 51148, 51699, 51047, 51699, 51047, 53865, 50817, 53865, 50817, 55253, 50949, 55253, 50949, 50799, 57441, 51115, 59247, 51115, 57017, 50873, 50722, 50287, 50873, 61331, 50873, 77989, 50873, 55228, 50873, 50419, 53865, 50817, 53865, 50817, 55253, 50817, 55253, 52302, 55282, 50845, 79046, 50845, 54108, 50845, 62655, 50845, 53472, 69115, 50832, 57480, 52664, 50795, 61331, 50795, 52278, 50795, 58048, 50795, 52650, 65727, 58343, 50849, 71801, 53308, 55282, 50901, 79046, 50901, 54108, 50901, 62655, 50901, 53472, 50901, 50437, 53623, 51183, 53623, 51183, 52316, 50918, 52316, 56039, 56882, 51077, 61779, 51077, 56636, 51551, 50722, 50295, 51551, 54649, 51551, 68611, 51551, 54969, 51551, 50450, 50832, 55577, 62583, 61994, 52481, 50995, 52481, 50995, 51426, 50889, 51426, 50889, 50461, 58591, 50810, 62920, 50810, 50799, 55282, 50838, 79046, 50838, 54108, 50838, 62655, 50838, 62583, 50811, 53472, 50838, 50416, 58343, 50942, 71801, 65739, 58591, 50810, 62920, 50810, 56636, 50901, 50722, 50295, 50901, 54649, 50901, 68611, 50901, 54969, 76968, 58343, 50878, 71801, 50878, 50424, 52371, 51097, 52371, 51097, 50425, 57441, 50844, 59247, 53450, 55282, 50822, 79046, 50822, 54108, 50822, 62655, 53255, 50817, 53472, 50822, 73652, 73652, 51251, 50981, 51251, 50981, 50428, 58343, 50878, 71801, 66942, 55865, 50844, 50722, 50292, 50844, 55008, 50844, 67544, 50844, 53715, 53513, 57441, 50813, 59247, 50813, 57273, 50874, 50722, 50290, 50874, 58811, 50874, 78531, 50874, 56265, 50874, 53865, 50839, 53865, 50839, 55253, 50841, 55253, 54665, 62953, 50854, 61837, 50854, 59559, 50844, 50722, 50289, 50844, 58916, 50844, 50720, 50301, 50844, 55039, 61842, 52143, 51452, 52143, 51452, 51299, 51790, 51299, 51790, 50438, 56882, 51141, 61779, 51141, 57017, 50943, 50722, 50287, 50943, 61331, 50943, 77989, 50943, 62583, 50949, 55228, 50943, 53865, 51362, 53865, 51362, 55253, 51226, 55253, 70233, 50832, 52193, 50816, 50862, 53485, 50962, 53485, 50962, 55253, 51010, 55253, 51010, 56032, 50862, 56875, 50809, 50799, 57017, 50845, 61331, 50845, 77989, 50845, 62583, 56409, 50811, 55228, 50845, 51699, 51447, 51699, 51447, 53485, 50949, 53485, 50949, 55253, 50811, 55253, 53213, 55282, 50845, 54108, 50845, 62655, 56649, 50811, 53472, 50845, 53485, 50817, 53485, 50817, 55253, 50817, 55253, 52630, 52664, 50892, 52278, 50892, 58048, 57161, 51010, 52650, 54100, 55282, 50892, 54108, 50892, 62655, 57957, 50862, 53472, 50892, 57671, 50880, 57008, 75483, 53623, 51145, 53623, 51145, 52316, 51244, 52316, 68116, 56636, 51336, 54649, 51336, 68611, 51336, 50816, 50962, 54969, 51336, 50450, 50832, 52193, 62583, 54192, 50813, 56032, 50809, 56875, 57747, 62583, 50811, 51299, 51244, 51299, 51244, 52143, 51145, 52143, 51145, 50799, 57017, 50805, 61331, 50805, 77989, 52504, 51010, 55228, 52864, 55282, 50905, 54108, 50905, 62655, 59140, 51010, 53472, 54335, 52664, 50901, 52278, 50901, 58048, 59510, 52050, 50930, 52650, 54777, 52970, 51060, 52186, 51060, 59017, 64194, 50809, 53267, 51060, 57671, 50809, 57008, 75483, 52371, 51077, 52371, 51077, 51251, 51047, 51251, 60610, 51963, 51077, 51900, 51077, 56334, 74382, 50887, 52697, 66336, 50832, 52050, 50809, 59986, 50886, 64119, 63152, 62583, 52349, 50816, 50855, 55253, 50949, 55253, 50949, 53485, 50880, 53485, 50880, 56032, 50890, 56875, 59026, 62583, 50811, 52776, 51148, 52776, 51148, 51699, 51047, 51699, 51047, 53485, 50962, 53485, 50962, 55253, 50811, 55253, 50811, 50799, 57017, 50873, 61331, 50873, 77989, 57652, 50811, 55228, 55689, 55282, 50845, 54108, 50845, 62655, 56649, 50962, 53472, 50845, 53485, 50961, 53485, 50961, 55253, 51031, 55253, 57272, 52664, 50795, 52278, 50795, 58048, 54397, 50811, 52650, 51736, 55282, 50901, 54108, 50901, 62655, 57353, 50809, 53472, 50901, 57671, 50809, 57008, 79737, 53623, 51183, 53623, 51183, 52316, 50918, 52316, 56039, 56636, 51551, 54649, 51551, 68611, 51551, 50816, 50887, 54969, 51551, 50450, 50832, 57859, 53485, 50884, 53485, 50884, 55253, 50949, 55253, 54210, 62583, 61994, 52481, 50995, 52481, 50995, 51426, 50889, 51426, 50889, 50461, 53485, 50817, 53485, 50817, 55253, 50811, 55253, 50811, 50799, 55282, 50838, 54108, 50838, 62655, 50838, 62583, 52791, 50880, 53472, 54177, 56636, 50901, 54649, 50901, 68611, 57353, 50836, 54969, 50901, 63741, 62115, 50816, 50890, 52371, 51097, 52371, 51097, 50425, 50832, 52630, 55282, 50822, 54108, 50822, 62655 ]

[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 10, 20902, 132, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 22750, 1626, 5823, 8, 10563, 4, 590, 10, 11739, 9, 2020, 3548, 6, 10170, 1499, 6, 21979, 8, 3459, 29589, 6, 8, 21072, 6, 24, 6670, 10, 12298, 5466, 4, 20, 762, 9, 272, 538, 8, 5, 33215, 16739, 9, 230, 6, 211, 6, 8, 272, 5042, 7, 63, 33928, 16464, 6, 442, 24, 10, 1969, 2564, 13, 2365, 50, 1619, 9629, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50630, 50843, 52630, 79166, 51057, 50843, 52302, 51451, 51620, 51322, 52001, 52265, 51772, 51059, 51057, 51133, 51072, 50885, 51267, 51891, 50836, 53560, 54355, 59757, 61966, 51891, 50821, 53560, 54611, 77283, 51707, 50908, 51707, 50857, 51891, 50880, 52850, 50887, 53326, 50886, 52860, 50857, 53424, 54742, 51044, 51475, 53423, 51149, 50862, 53457, 50962, 53560, 52189, 53049, 74255, 50953, 51090, 74962, 52850, 54874, 51179, 52765, 60428, 51891, 54854, 58570, 51707, 50820, 51891, 50818, 52850, 50809, 52146, 50821, 53560, 50894, 53326, 50813, 52860, 50855, 53424, 54597, 51044, 53660, 50847, 50812, 52850, 54220, 50812, 51057, 51366, 50854, 51229, 50812, 51133, 51735, 50885, 51056, 52146, 63464, 51239, 53504, 60428, 53560, 52244, 51209, 50833, 56206, 51707, 50839, 52850, 50870, 51891, 50890, 52850, 50809, 53326, 50886, 52860, 50857, 53424, 54742, 51135, 51475, 53423, 61873, 56043, 52207, 51620, 51366, 50991, 50953, 51500, 50988, 51109, 71081, 55024, 51179, 52765, 50909, 50862, 58227, 52686, 56521, 51707, 50813, 51891, 50890, 52850, 50887, 56043, 50950, 53326, 50857, 52860, 50862, 53424, 53352, 51041, 52227, 54986, 50847, 50813, 53560, 52348, 50800, 51057, 51229, 50889, 50945, 51055, 51164, 51267, 52879, 52750, 51139, 53504, 50872, 50855, 52814, 52734, 50885, 50810, 52344, 50834, 52131, 50883, 51997, 50887, 51997, 50854, 53904, 50813, 52979, 50862, 52860, 53784, 51044, 53187, 53423, 50850, 50862, 51891, 51156, 53049, 51334, 51003, 51720, 51603, 51332, 51267, 52131, 59171, 51179, 53847, 50872, 50862, 52554, 53230, 50946, 50822, 52344, 50820, 52131, 50818, 51997, 50818, 51891, 50846, 53904, 50862, 52979, 50836, 52860, 54472, 51044, 54125, 50885, 50836, 51891, 51864, 50854, 51057, 51229, 51310, 50945, 51427, 51164, 50943, 52131, 50366, 51015, 51239, 57368, 50872, 50862, 52554, 54718, 57212, 52344, 50839, 52131, 50895, 51997, 50818, 51891, 50851, 53904, 50813, 52979, 50855, 52860, 54597, 51135, 53187, 53423, 50850, 50812, 52879, 52374, 52710, 50945, 51932, 51332, 51109, 52131, 62625, 51179, 53847, 56684, 52814, 50800, 51891, 54440, 62677, 52131, 50895, 52344, 50813, 51997, 50887, 51997, 50822, 53904, 50862, 52979, 50855, 52860, 54345, 51041, 55098, 50885, 50810, 52131, 55316, 50833, 51057, 51590, 51175, 50953, 51112, 51164, 50862, 52162, 54355, 51139, 57368, 50847, 50855, 52162, 54878, 50848, 50810, 52162, 50834, 51707, 50883, 51707, 51010, 52554, 50887, 53326, 50886, 53210, 50829, 52635, 54131, 51044, 53187, 53423, 51334, 51048, 50935, 50862, 52162, 51000, 60913, 50927, 51500, 50988, 51267, 52391, 55572, 51179, 55658, 50847, 50862, 52554, 53627, 68943, 52162, 50820, 51707, 50818, 52554, 50809, 51707, 50822, 53326, 50886, 53210, 50867, 52635, 53479, 51044, 54125, 51390, 51290, 50848, 50836, 52181, 50864, 52068, 51057, 50953, 51500, 50988, 50943, 52554, 50828, 53560, 54355, 51239, 57368, 50847, 50862, 52554, 50833, 53560, 51835, 55420, 50809, 55688, 52162, 50839, 51997, 50982, 51707, 50890, 52554, 50809, 53326, 50857, 53210, 50813, 52635, 53850, 51135, 53187, 53423, 51893, 51110, 50935, 50812, 52554, 50890, 53560, 52304, 52710, 51415, 51566, 51171, 50915, 52554, 56926, 51179, 53847, 61204, 58622, 52559, 55420, 50839, 70904, 51707, 50895, 52162, 50813, 52554, 50887, 64845, 50962, 53326, 50820, 53210, 50839, 52635, 54201, 51041, 52672, 54487, 50848, 50813, 52146, 70196, 50812, 51057, 54193, 68782, 51346, 50885, 51267, 55653, 53287, 51139, 57368, 50909, 50855, 53560, 53004, 52700, 57932, 50810, 51707, 50857, 51891, 50880, 52850, 50887, 56043, 50930, 53326, 50864, 52860, 50829, 53424, 54742, 51044, 53187, 53423, 51149, 50862, 53457, 50854, 60913, 52004, 50812, 50953, 51290, 74962, 52850, 54874, 51179, 52765, 50909, 50862, 53560, 54440, 52700, 57373, 50822, 51707, 50820, 51891, 50818, 52850, 50809, 51891, 50833, 53326, 50862, 52860, 50836, 53424, 54131, 51044, 55098, 50847, 50812, 51997, 55316, 50808, 51057, 52004, 50981, 51133, 78451, 51056, 51707, 54036, 51239, 57368, 60428, 51707, 54448, 56206, 51707, 50839, 51891, 50890, 52850, 50809, 51891, 50803, 52130, 50923, 53326, 50867, 52860, 50862, 53424, 53352, 51135, 55352, 53423, 51149, 50812, 51707, 52465, 52710, 50953, 60460, 50915, 53457, 50894, 53560, 50882, 52249, 50893, 52455, 55658, 50909, 50862, 52850, 53705, 56521, 53457, 50870, 51707, 50813, 51891, 50890, 52850, 50887, 51891, 50803, 53560, 50894, 53058, 50806, 53326, 50813, 52860, 50862, 53424, 54597, 51041, 54125, 77283, 51997, 55181, 50854, 51057, 51133, 51073, 50885, 51267, 51891, 50836, 53560, 50857, 51951, 51379, 52321, 54275, 50909, 50855, 51891, 50821, 53560, 54611, 77283, 51707, 50908, 51891, 50883, 51707, 50857, 52850, 50887, 53326, 50904, 52860, 50829, 53424, 53802, 51044, 53187, 53423, 51149, 50854, 53457, 50962, 53560, 50859, 52142, 53111, 53906, 50953, 51290, 50988, 51267, 52850, 50874, 51951, 51115, 52455, 55658, 50909, 50862, 51891, 54854, 58570, 51707, 50820, 51891, 50818, 52850, 50809, 52146, 50821, 53560, 50894, 53326, 50857, 52860, 50813, 53424, 53352, 51044, 54125, 50847, 50812, 52850, 54220, 50854, 51057, 51133, 78451, 51056, 52146, 63907, 51239, 57368, 50909, 50862, 53560, 53213, 56206, 51707, 50839, 52850, 50870, 51891, 50890, 52850, 50809, 52130, 50803, 53326, 50886, 52860, 50834, 53424, 55018, 51135, 53187, 53423, 61873, 56043, 52207, 52710, 51133, 51073, 50988, 51109, 71081, 50894, 51967, 52651, 51179, 56274, 50909, 50862, 58227, 50821, 53928, 53705, 56521, 51891, 50895, 51707, 50813, 52850, 50887, 56043, 50950, 52064, 50849, 53326, 50886, 52860, 50829, 53424, 55018, 51041, 52672, 54986, 50847, 50813, 53560, 52348, 50854, 51057, 51720, 51056, 50885, 50862, 56043, 50811, 52249, 51354, 52321, 57368, 50872, 50855, 52814, 52734, 50885, 50810, 52344, 50834, 52131, 50883, 51997, 50887, 51997, 50854, 56114, 50867, 53904, 50813, 52979, 53352, 51044, 53791, 53423, 56105, 51891, 50803, 51951, 52304, 52710, 51133, 51048, 51164, 51267, 52131, 50907, 52249, 51295, 52455, 55658, 50872, 50862, 52554, 53230, 50946, 50822, 52344, 50820, 52131, 50818, 51891, 50846, 51997, 50809, 56114, 50857, 53904, 50813, 52979, 53352, 51044, 54125, 50885, 50836, 51891, 51864, 50833, 51057, 51720, 51048, 51164, 50943, 52131, 50366, 51015, 51239, 54275, 50872, 50862, 52554, 54718, 57212, 52344, 50839, 52131, 50890, 51997, 50809, 51891, 50851, 56114, 50857, 53904, 50820, 52979, 53352, 51135, 53187, 53423, 50850, 50812, 52879, 52374, 52710, 51817, 50952, 51332, 51109, 52131, 51128, 52130, 52750, 51179, 55658, 56684, 52814, 50800, 51891, 50894, 51967, 54334, 51271, 50921, 62677, 52344, 50813, 52131, 50890, 51997, 50887, 51997, 50822, 52064, 50806, 56114, 50857, 53904, 50862, 52979, 53966, 51041, 54125, 50885, 50810, 52131, 50886, 52068, 51057, 50953, 51460, 50988, 51267, 52181, 50844, 53020, 50993, 52321, 57368, 56894, 52162, 53932, 50848, 50810, 52162, 50834, 51707, 50883, 51707, 51010, 52554, 50887, 56627, 54742, 51044, 53187, 53423, 75035, 52162, 51000, 52780, 50921, 56627, 50813, 54174, 50839, 53326, 53065, 52710, 50927, 51345, 51171, 51267, 52391, 50950, 53258, 50824, 52455, 55658, 50847, 50862, 52554, 53627, 68943, 52162, 50820, 51707, 50818, 52554, 50818, 51707, 50822, 56627, 50862, 54174, 50855, 53326, 53966, 51044, 53263, 50848, 50812 ]

[ 0, 250, 5679, 26709, 5175, 25771, 2214, 19, 10, 3366, 219, 8, 980, 219, 5466, 6, 4246, 38668, 22052, 6, 21072, 6, 3741, 27374, 594, 6, 38668, 9590, 6, 8, 3459, 9590, 4, 20, 33301, 30853, 81, 10, 33215, 16739, 9, 274, 6, 272, 6, 211, 119, 6, 1918, 6, 8, 272, 11, 5, 762, 9, 211, 3694, 6, 19, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 11, 204, 73, 306, 86, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50796, 50796, 50796, 50799, 52508, 51730, 52432, 52345, 51620, 52118, 51730, 52209, 52345, 52262, 52508, 64772, 53905, 52345, 52513, 52118, 51757, 50798, 53545, 52118, 51754, 52345, 50800, 50799, 53480, 51730, 52432, 52230, 51620, 52760, 51730, 52209, 52230, 52262, 52724, 64772, 53905, 52118, 52513, 52230, 51757, 50798, 53545, 52230, 51754, 52118, 50800, 50799, 52508, 51730, 52432, 52661, 51620, 52345, 51730, 52209, 52661, 52262, 52508, 64772, 53905, 52661, 52513, 52360, 51757, 50798, 53545, 52508, 51754, 52661, 50800, 50799, 52508, 51730, 52432, 52345, 51620, 52118, 51730, 52209, 52345, 52262, 52724, 64772, 53905, 52118, 52513, 52230, 51757, 50798, 53545, 52230, 51754, 52118, 50800, 50799, 52508, 50800, 55061, 50800, 51271, 52221, 51044, 54639, 55061, 51049, 52432, 52345, 50800, 55061, 52227, 53423, 55061, 51049, 52437, 52118, 50800, 55061, 50800, 51271, 50991, 52358, 54013, 55061, 51049, 52209, 52345, 50800, 55061, 52227, 53593, 52508, 50800, 55061, 50800, 51271, 56958, 52565, 55061, 51730, 51044, 53905, 52345, 50800, 55061, 51049, 52210, 55061, 50800, 51271, 54490, 53641, 52118, 50800, 55061, 51049, 52396, 55061, 51730, 51044, 53545, 52118, 50800, 55061, 51049, 52349, 52345, 50800, 55061, 50800, 51271, 52152, 53902, 55061, 51049, 50818, 50799, 53480, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52230, 50800, 57354, 52227, 53423, 57354, 51049, 52437, 52760, 50800, 57354, 50800, 51186, 50991, 52358, 54013, 57354, 51049, 52209, 52230, 50800, 57354, 52227, 53593, 52724, 50800, 57354, 50800, 51133, 56958, 52565, 55411, 51730, 51044, 53905, 52118, 50800, 55411, 51049, 52210, 55411, 50800, 51133, 54490, 53641, 52230, 50800, 55411, 51049, 52396, 55411, 51730, 51044, 53545, 52230, 50800, 55411, 51049, 52349, 52118, 50800, 55411, 50800, 51133, 52152, 53902, 55411, 51049, 50818, 50799, 52508, 50800, 59112, 60997, 52221, 51044, 54639, 59112, 51049, 52432, 52661, 50800, 59112, 52227, 53423, 59112, 51049, 52437, 52345, 50800, 59112, 60997, 50991, 52358, 54013, 59112, 51049, 52209, 52661, 50800, 59112, 52227, 53593, 52508, 50800, 59112, 60997, 56958, 52565, 59112, 51730, 51044, 53905, 52661, 50800, 59112, 51049, 52210, 59112, 60997, 54490, 53641, 52360, 50800, 59112, 51049, 52396, 59112, 51730, 51044, 53545, 52508, 50800, 59112, 51049, 52349, 52661, 50800, 59112, 60997, 52152, 53902, 59112, 51049, 50818, 50799, 52508, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52345, 50800, 57354, 52227, 53423, 57354, 51049, 52437, 52118, 50800, 57354, 50800, 51186, 50991, 52358, 54013, 57354, 51049, 52209, 52345, 50800, 57354, 52227, 53593, 52724, 50800, 57354, 50800, 51133, 56958, 52565, 55411, 51730, 51044, 53905, 52118, 50800, 55411, 51049, 52210, 55411, 50800, 51133, 54490, 53641, 52230, 50800, 55411, 51049, 52396, 55411, 51730, 51044, 53545, 52230, 50800, 55411, 51049, 52349, 52118, 50800, 55411, 50800, 51133, 52152, 53902, 55411, 51049, 50818, 50799, 52508, 50800, 55061, 50800, 51271, 52221, 51044, 54639, 55061, 51049, 52432, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53423, 55061, 51049, 52437, 52118, 50800, 55061, 50800, 51271, 55568, 52572, 54094, 63822, 54013, 55061, 51049, 52209, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53593, 52508, 50800, 55061, 50800, 51271, 50991, 51068, 63822, 52565, 55061, 51730, 51044, 53905, 52345, 50800, 55061, 53984, 63822, 52210, 55061, 50800, 51271, 54490, 51276, 50583, 59839, 53641, 52118, 50800, 55061, 51049, 52396, 55061, 51730, 52572, 54094, 63822, 53545, 52118, 50800, 55061, 51049, 52349, 52345, 50800, 55061, 50800, 51271, 52152, 51276, 50583, 59839, 53902, 55061, 51049, 50818, 50799, 53480, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52230, 50800, 57354, 52227, 51276, 50583, 59839, 53423, 57354, 51049, 52437, 52760, 50800, 57354, 50800, 51186, 55568, 52572, 54094, 63822, 54013, 57354, 51049, 52209, 52230, 50800, 57354, 52227, 51276, 50583, 59839, 53593, 52724, 50800, 57354, 50800, 51133, 50991, 51068, 63822, 52565, 55411, 51730, 51044, 53905, 52118, 50800, 55411, 53984, 63822, 52210, 55411, 50800, 51133, 54490, 51276, 50583, 59839, 53641, 52230, 50800, 55411, 51049, 52396, 55411, 51730, 52572, 54094, 63822, 53545, 52230, 50800, 55411, 51049, 52349, 52118, 50800, 55411, 50800, 51133, 52152, 51276, 50583, 59839, 53902, 55411, 51049, 50818, 50799, 52508, 50800, 59112, 60997, 52221, 51044, 54639, 59112, 51049, 52432, 52661, 50800, 59112, 52227, 51276, 50583, 59839, 53423, 59112, 51049, 52437, 52345, 50800, 59112, 60997, 55568, 52572, 54094, 63822, 54013, 59112, 51049, 52209, 52661, 50800, 59112, 52227, 51276, 50583, 59839, 53593, 52508, 50800, 59112, 60997, 50991, 51068, 63822, 52565, 59112, 51730, 51044, 53905, 52661, 50800, 59112, 53984, 63822, 52210, 59112, 60997, 54490, 51276, 50583, 59839, 53641, 52360, 50800, 59112, 51049, 52396, 59112, 51730, 52572, 54094, 63822, 53545, 52508, 50800, 59112, 51049, 52349, 52661, 50800, 59112, 60997, 52152, 51276, 50583, 59839, 53902, 59112, 51049, 50818, 50799, 52508, 50800, 57354, 50800, 51186, 52221, 51044, 54639, 57354, 51049, 52432, 52345, 50800, 57354, 53984, 61591, 58574, 57354, 53984, 56450, 52465, 52966, 52118, 50800, 57354, 50800, 51186, 55568, 58712, 54946, 52223, 56609, 57354, 53984, 54087, 51833, 53031, 52345, 50800, 57354, 53984, 53831, 54288, 52724, 50800, 57354, 50800, 51133, 50991, 51068, 53889, 51437, 52600, 55411, 51730, 53966, 56396, 73920, 55218, 52118, 50800, 55411, 51907, 57517, 54382, 51406, 53041, 55411, 50800, 51133, 52496, 55304, 53500, 54255, 52230, 50800, 55411, 51907, 54094, 63822, 52396, 55411, 51730, 54866, 54912, 53683, 51179, 56883, 52230, 50800, 55411, 51907, 54724, 63948, 53563, 52118, 50800, 55411, 50800, 51133, 51626, 57875, 54192, 57841, 55411, 51907, 58096, 54844, 65613, 50799, 52508, 50800, 55061, 50800, 54511, 51036, 53733, 51036, 53818, 51036, 51271, 50807, 54155, 51036, 55803, 51036, 60541, 51036, 53687, 51161, 52358, 54639, 55061, 51049, 52432, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53423, 55061, 51049, 52437, 52118, 50800, 55061, 50800, 51271, 55568, 52572, 54094, 63822, 54013, 55061, 51049, 52209, 52345, 50800, 55061, 52227, 51276, 50583, 59839, 53593, 52508, 50800, 55061, 50800, 51271, 50991, 51068, 63822, 52565, 55061, 51730, 51044, 53905, 52345, 50800, 55061, 53984, 63822, 52210, 55061, 50800, 51271, 54490, 51276, 50583, 59839, 53641, 52118, 50800, 55061, 51049, 52396, 55061, 50800, 54455, 51428, 52572, 54094, 63822, 53545, 52118, 50800, 55061, 51049, 52349, 52345, 50800, 55061, 50800, 66709, 52874, 54490, 51276, 50583, 59839, 53902, 55061, 51049, 50818, 50799, 53480, 50800, 57354, 50800, 56648, 50918, 54511, 50918, 53733, 50918, 51186, 50807, 53909, 50918, 54155, 50918, 55803, 50918, 52358, 54639, 57354, 51049, 52432, 52230, 50800, 57354, 50800, 52341, 51161, 50852, 51276, 50583, 59839, 53423, 57354, 51049, 52437, 52760, 50800, 57354, 50800, 51186, 55568, 52572, 54094, 63822, 54013, 57354, 51049, 52209, 52230, 50800, 57354, 52227, 51276, 50583, 59839, 53593, 52724, 50800, 57354, 50800, 51133, 50991, 51068, 63822, 52565, 55411, 50800, 54884, 50918, 54924, 50918, 53370, 50918, 53372, 50918, 55697, 50918, 56141, 50918, 52358 ]

[ 0, 250, 3366, 219, 5175, 2369, 18795, 14, 7630, 6568, 10, 1472, 9, 980, 8, 15073, 6, 4246, 10, 38668, 483, 6, 18558, 18046, 6, 21072, 6, 3459, 9590, 6, 8, 30062, 620, 7085, 2323, 6, 70, 29354, 561, 11, 10, 15352, 30054, 15229, 278, 11, 274, 3694, 19, 10, 7212, 204, 73, 306, 20889, 6, 24826, 198, 5, 40286, 9, 2060, 406, 6, 272, 406, 6, 8, 230, 406, 1328, 42, 765, 4388, 3251, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50415, 51383, 60892, 51383, 66086, 51270, 75405, 51270, 62657, 51270, 73898, 51383, 63954, 51383, 63178, 51383, 59787, 51270, 64380, 51270, 71772, 51383, 61630, 51383, 50811, 51601, 52037, 51469, 52184, 51469, 54102, 51469, 51783, 51469, 58417, 50887, 55594, 50880, 57170, 52476, 50592, 52259, 51354, 50418, 55594, 50880, 55594, 50930, 57170, 60721, 53283, 50880, 55594, 50890, 57170, 59474, 58417, 50894, 55594, 50887, 57170, 67713, 53303, 64855, 55594, 50880, 53787, 50880, 57170, 52467, 50802, 51270, 67757, 61279, 50894, 53907, 50962, 57170, 60733, 65405, 50802, 55594, 50890, 58417, 50890, 57170, 79913, 53690, 51021, 50436, 62191, 50882, 61279, 50930, 57170, 58678, 71647, 58417, 50962, 61279, 50890, 57170, 52259, 50385, 52272, 58350, 65405, 50860, 53787, 50962, 55594, 50962, 57170, 57287, 65804, 61279, 50890, 53283, 50890, 57170, 64793, 66270, 55594, 50930, 53787, 50880, 57170, 52923, 60836, 72860, 62014, 50930, 55594, 50858, 57170, 66217, 51907, 51354, 50454, 62191, 50880, 61279, 50962, 57170, 68639, 63848, 55594, 50890, 58417, 50890, 57170, 59322, 55594, 50930, 55594, 50962, 57170, 53119, 61427, 50811, 51601, 52290, 51655, 51567, 51655, 51567, 52017, 51722, 52017, 58417, 50930, 52998, 50890, 51704, 53351, 51167, 50418, 55594, 50962, 55594, 50890, 57170, 60836, 67503, 52998, 50887, 58417, 50882, 51704, 79350, 60892, 52998, 50887, 58417, 50930, 51704, 51747, 65469, 55594, 50880, 58417, 50880, 51704, 68195, 52997, 66605, 56201, 50880, 62191, 50880, 51704, 65442, 59093, 66680, 50860, 58417, 50890, 52998, 50930, 51704, 53630, 50911, 51270, 61170, 62191, 50890, 55594, 50859, 51704, 58678, 67166, 62191, 50887, 52998, 50890, 51704, 52259, 67760, 66680, 50860, 55594, 50821, 58417, 50894, 51704, 79913, 62426, 62191, 50887, 52998, 50880, 51704, 65442, 61190, 58417, 50930, 55594, 50890, 51704, 53632, 66217, 67979, 62014, 50880, 55594, 50880, 57170, 64537, 53474, 72747, 55594, 50858, 62191, 50880, 51704, 79913, 60734, 52998, 50880, 58417, 50930, 51704, 61764, 55594, 50890, 55594, 50882, 57170, 53352, 56920, 50962, 51601, 53811, 52017, 52170, 51469, 51902, 51696, 52170, 51696, 50731, 50300, 50880, 67753, 50880, 52669, 51747, 51173, 51383, 65000, 55594, 50930, 55594, 50962, 57170, 64729, 67753, 50890, 59059, 50930, 52669, 59474, 67753, 50962, 50731, 50300, 50930, 52669, 50383, 52638, 51730, 64855, 67753, 50930, 59090, 50890, 52669, 53988, 51012, 51270, 74875, 68404, 50890, 55594, 50930, 52669, 64458, 50706, 50329, 51012, 50731, 50300, 50962, 67753, 50880, 52669, 65685, 52259, 51021, 50436, 59090, 50930, 68404, 50962, 52669, 58678, 73898, 50731, 50300, 50890, 68404, 50930, 52669, 65303, 51747, 62505, 50706, 50329, 50860, 67753, 50880, 59090, 50887, 52669, 54172, 61427, 61189, 68404, 50887, 59059, 50880, 52669, 64491, 60972, 59090, 50882, 67753, 50880, 52669, 68639, 53662, 64847, 62014, 50930, 55594, 50880, 57170, 60836, 54092, 58268, 59090, 50858, 68404, 50858, 52669, 53352, 67714, 62474, 67753, 50880, 50731, 50300, 50880, 52669, 53352, 59616, 55594, 50962, 55594, 50880, 57170, 64491, 52279, 51010, 51601, 51567, 52017, 51722, 52017, 52290, 52208, 51567, 51655, 52998, 50962, 58417, 50930, 51704, 51730, 51388, 51270, 59748, 55594, 50880, 55594, 50880, 57170, 62451, 65992, 52998, 50890, 58417, 50882, 51704, 60836, 62779, 52998, 50894, 58417, 50880, 51704, 53579, 50385, 52272, 60262, 58417, 50930, 55594, 50890, 51704, 58678, 55060, 71692, 56201, 50890, 62191, 50930, 51704, 74411, 57659, 66680, 50802, 52998, 50890, 58417, 50880, 51704, 52784, 51030, 51383, 62657, 62191, 50930, 55594, 50821, 51704, 58678, 63038, 52998, 50930, 62191, 50890, 51704, 52259, 67542, 62438, 66680, 51138, 58417, 50890, 55594, 50962, 51704, 76399, 61189, 52998, 50890, 62191, 50880, 51704, 62924, 58417, 50930, 55594, 50887, 51704, 53590, 60836, 72860, 62014, 50890, 55594, 50890, 57170, 53988, 50975, 51270, 60632, 55594, 50890, 62191, 50887, 51704, 67321, 52998, 50890, 58417, 50930, 51704, 62983, 63357, 55594, 50890, 55594, 50890, 57170, 69527, 56606, 51010, 51601, 52037, 52208, 51783, 52017, 52184, 52208, 54102, 51469, 58417, 50962, 55594, 50962, 57170, 62451, 51730, 51167, 50418, 55594, 50890, 55594, 50890, 57170, 58678, 67503, 55594, 50890, 53283, 50890, 57170, 68195, 59474, 58417, 50880, 55594, 50858, 57170, 65303, 51747, 73892, 55594, 50880, 53787, 50880, 57170, 51907, 50802, 51270, 65838, 61279, 50930, 53907, 50890, 57170, 79042, 63937, 65405, 50860, 55594, 50930, 58417, 50962, 57170, 50378, 52272, 53351, 50924, 50436, 61279, 50930, 62191, 50962, 57170, 64537, 55900, 58417, 50882, 61279, 50890, 57170, 52259, 50387, 52051, 62438, 65405, 50860, 55594, 50890, 53787, 50890, 57170, 58949, 59070, 61279, 50930, 53283, 50890, 57170, 64598, 55594, 50890, 53787, 50880, 57170, 62983, 54451, 63653, 62014, 50930, 55594, 50930, 57170, 54472, 50975, 51270, 57637, 62191, 50890, 61279, 50880, 57170, 66660, 55594, 50887, 58417, 50962, 57170, 68639, 59107, 55594, 50858, 55594, 50858, 57170, 50379, 52638, 52279, 50811, 51601, 51722, 51696, 51567, 52017, 52290, 52208, 51567, 52017, 52998, 50882, 58417, 50930, 51704, 53579, 51286, 51383, 69736, 55594, 50962, 55594, 50880, 57170, 65992, 52998, 50930, 58417, 50890, 51704, 60809, 58417, 50890, 52998, 50930, 51704, 66217, 53579, 73892, 55594, 50882, 58417, 50930, 51704, 68195, 54078, 51138, 50430, 62191, 50890, 56201, 50890, 51704, 64662, 66680, 50860, 58417, 50882, 52998, 50890, 51704, 65442, 53662, 51030, 50436, 55594, 50880, 62191, 50890, 51704, 62451, 63539, 62191, 50930, 52998, 50880, 61015, 50385, 52272, 58350, 66680, 50860, 58417, 50880, 55594, 50890, 51704, 68639, 67356, 62191, 50890, 52998, 50894, 51704, 68639, 71977, 58417, 50890, 55594, 50930, 51704, 68639, 53662, 60949, 62014, 50890, 55594, 50930, 57170, 54172, 50975, 51383, 65601, 62191, 50880, 55594, 50962, 51704, 68814, 66000, 52998, 50894, 58417, 50930, 51704, 63849, 55594, 50930, 55594, 50890, 57170, 69527, 52279, 50811, 51601, 52170, 51469, 51902, 52017, 52170, 51696, 53811, 52208, 50731, 50300, 50890, 67753, 50930, 52669, 67713, 53238, 51167, 50418, 55594, 50821, 55594, 50887, 57170, 65303, 64355, 67753, 50880, 59059, 50887, 52669, 52476, 50592, 61083, 67753, 50930, 50731, 50300, 50880, 52669, 68195, 53235, 64855, 67753, 50890, 59090, 50930, 52669, 54218, 66605, 55594, 50890, 68404, 50930, 52669, 68671, 57476, 50706, 50329, 50860, 50731, 50300, 50930, 67753, 50890, 52669, 53630, 50948, 50436, 68404, 50962, 59090, 50894, 52669, 62284, 66905, 68404, 50880, 50731, 50300, 50962, 52669, 52259, 62505, 50706, 50329, 50860, 67753, 50890, 59090, 50890, 52669, 62983, 62236, 68404, 50821, 59059, 50962, 52669, 68814, 66372, 59090, 50890, 67753, 50821, 52669, 52784, 65303, 57465, 62014, 50962, 55594, 50890, 57170, 54218, 51483, 51383, 57924, 68404, 50930, 59090, 50890, 52669, 62983, 59747, 67753, 50887, 50731, 50300, 50930, 52669, 72070, 55594, 50930, 55594, 50821, 57170, 54597, 57344, 50836, 51601, 51722, 51290, 51567, 50896, 52075, 51016, 52290, 50896, 52998, 50880, 58417, 50930, 51704, 65303, 62799, 62191, 50859, 52998, 50880, 51704, 50381, 54936, 67008, 58417, 50962, 52998, 50882, 51704, 79695, 62779, 58417, 50890, 52998, 50962, 51704, 50383, 54936, 71712, 52075, 50896, 52290, 51090 ]

[ 0, 250, 15855, 8, 5175, 24904, 6, 42, 5679, 26709, 2125, 30853, 23, 41, 178, 5285, 2877, 11, 204, 73, 306, 86, 4, 20, 13305, 8, 6168, 3540, 483, 5, 33301, 6, 2800, 30, 10, 6755, 12547, 6, 38668, 3038, 6, 8, 10, 38668, 11212, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 12608, 6, 163, 428, 6, 230, 119, 6, 8, 2060, 4, 20, 1374, 6711, 16, 19448, 8, 7630, 36041, 9, 10, 822, 1471, 6, 19, 9066, 8, 15352, 30054, 4785, 31605, 1328, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 50791, 50914, 51544, 50914, 51570, 50914, 52320, 50914, 54197, 51307, 50900, 51307, 50871, 51307, 50965, 51307, 50965, 51307, 50423, 62292, 50812, 62292, 50812, 50876, 52710, 62292, 50849, 62292, 58681, 53308, 62292, 50849, 62292, 58681, 53470, 56496, 50849, 56496, 62377, 53969, 56496, 50849, 56496, 62377, 53794, 54650, 50849, 54650, 63191, 53702, 54650, 50849, 54650, 63191, 50849, 50799, 55872, 50849, 55872, 58681, 79111, 51519, 50300, 71785, 62292, 51124, 62292, 51124, 50900, 51124, 50965, 51124, 50876, 51124, 50429, 77176, 50812, 77176, 75161, 52749, 77176, 50849, 77176, 79892, 53470, 62292, 50914, 62292, 69796, 51103, 50965, 51103, 77113, 55694, 51124, 51197, 51307, 50956, 51307, 50956, 51307, 50861, 51307, 50861, 51307, 50423, 77176, 50812, 77176, 50812, 50906, 52710, 77176, 50849, 77176, 58801, 53308, 77176, 50849, 77176, 58801, 53470, 77176, 50849, 77176, 58801, 53969, 77176, 50849, 77176, 58801, 53794, 62292, 50849, 62292, 58681, 53702, 77988, 50812, 77988, 50812, 51028, 54421, 77176, 50849, 77176, 58801, 50849, 57346, 51591, 51040, 51591, 50871, 51591, 50871, 51591, 51234, 51307, 50417, 50719, 50300, 50812, 50719, 50300, 74566, 52871, 77176, 50849, 77176, 58801, 64486, 50997, 53794, 51040, 53702, 50871, 50849, 54197, 51307, 50900, 51307, 50871, 51307, 50965, 51307, 50965, 51307, 50423, 62292, 50812, 62292, 50812, 50876, 52710, 62292, 50849, 62292, 58681, 53308, 62292, 50849, 62292, 58681, 53470, 56496, 50849, 56496, 62377, 53969, 56496, 50849, 56496, 62377, 53794, 54650, 50849, 54650, 63191, 53702, 54650, 50849, 54650, 63191, 50849, 50799, 55872, 50849, 55872, 58681, 79111, 51519, 50300, 71785, 62292, 50914, 62292, 69796, 63403, 60763, 56217, 77176, 50812, 77176, 50812, 50906, 54125, 50719, 50300, 50812, 50719, 50300, 74566, 52841, 77176, 50812, 77176, 66966, 50812, 62257, 50906, 56358, 62292, 51124, 62292, 51124, 50876, 51124, 62291, 53702, 51001, 50849, 55694, 51124, 51197, 51307, 50956, 51307, 50956, 51307, 50423, 77176, 50812, 77176, 50812, 50906, 52710, 77176, 51124, 77176, 51124, 50906, 51124, 50435, 77176, 50812, 77176, 50812, 50906, 52841, 77176, 51124, 77176, 51124, 50906, 51124, 50447, 62292, 50812, 62292, 50812, 50876, 52848, 62292, 51124, 62292, 51124, 50876, 51124, 50459, 77988, 50812, 77988, 50812, 63417, 50799, 77988, 51103, 77988, 51103, 50871, 51591, 50965, 51591, 51028, 51591, 51360, 51486, 57019, 63946, 65631, 53969, 51176, 53794, 51360, 50812, 51176, 50812, 51040, 58963, 50812, 53599, 55874, 51085, 51124, 51176, 51124, 50900, 51124, 50956, 51124, 52143, 51124, 55435, 51124, 51040, 51124, 50871, 51124, 51234, 51103, 52602, 51103, 50423, 77988, 50812, 77988, 50812, 51040, 52710, 56496, 51124, 56496, 51124, 50997, 51124, 51040, 51124, 50871, 51124, 50435, 54650, 50812, 54650, 69937, 52841, 55872, 51103, 55872, 51103, 51040, 61581, 63403, 51800, 50293, 51103, 53599, 66563, 51040, 61581, 63403, 50914, 50799, 55872, 51413, 55872, 51413, 50900, 61581, 63403, 51800, 50297, 51103, 51887, 51103, 53523, 51124, 50871, 51124, 50965, 51124, 50435, 53602, 50812, 53602, 50812, 50906, 52841, 54650, 51103, 54650, 51103, 50997, 69796, 63925, 51800, 50295, 51103, 52481, 51103, 64057, 69796, 63925, 50914, 55435, 51124, 51040, 51124, 50871, 51124, 51234, 51103, 52602, 51103, 50423, 77988, 50812, 77988, 50812, 51040, 52710, 56496, 50849, 56496, 79892, 51124, 51040, 51124, 50871, 65903, 54650, 50849, 54650, 58926, 50861, 52841, 55872, 50849, 55872, 51519, 50305, 57743, 63946, 51519, 50293, 51103, 53599, 64486, 55872, 50849, 55872, 63946, 53794, 55872, 50849, 55872, 51519, 50305, 57743, 63946, 53702, 55872, 50914, 55872, 78389, 69796, 63403, 50914, 55881, 51307, 52481, 71785, 53602, 50914, 53602, 51800, 50300, 51189, 50997, 51189, 50956, 51189, 62322, 51103, 50997, 51103, 50956, 51103, 53975, 69796, 63403, 51800, 50288, 51307, 53623, 51307, 53523, 51124, 50956, 51124, 50965, 51124, 50435, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 52841, 65960, 50812, 65960, 64774, 66966, 50812, 64037, 50812, 70876, 56358, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 52597, 65960, 50849, 65960, 67997, 50849, 64037, 50849, 70876, 53794, 55872, 50849, 55872, 69214, 67997, 63946, 50849, 60617, 50849, 61144, 53702, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 53602, 51191, 53602, 51191, 50956, 51191, 50861, 51191, 50906, 51191, 57949, 51191, 58828, 51191, 55881, 51307, 52481, 51307, 56040, 63925, 60597, 55965, 53602, 50812, 53602, 66966, 50812, 59285, 60216, 57949, 50812, 58828, 56358, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 52597, 53602, 50849, 53602, 58801, 50849, 57949, 50849, 58828, 53794, 55872, 50812, 55872, 75161, 66966, 50812, 62257, 60617, 50812, 61144, 55874, 54650, 50812, 54650, 50812, 59285, 59595, 50812, 56917, 52955, 54650, 50849, 54650, 58263, 50849, 59595, 50849, 56917, 50849, 50799, 55872, 50812, 55872, 64774, 58963, 50812, 62257, 51050, 51307, 51887, 51307, 60617, 50812, 61144, 57368, 54650, 50812, 54650, 50812, 59285, 59595, 50812, 56917, 52871, 56496, 51191, 56496, 51191, 51176, 51191, 50900, 51191, 50871, 51191, 62217, 51191, 57571, 51191, 50435, 56496, 50812, 56496, 58963, 50812, 62217, 50812, 57571, 52841, 55872, 50812, 55872, 64774, 58963, 50812, 62257, 60617, 50812, 61144, 56358, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 52597, 55872, 50849, 55872, 63946, 50849, 60617, 50849, 61144, 53794, 53602, 50849, 53602, 69214, 57743, 58801, 50849, 57949, 50849, 58828, 53702, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 55872, 51191, 55872, 51191, 51040, 51191, 50871, 51191, 50965, 51191, 60617, 51191, 61144, 51191, 57497, 51307, 53599, 51307, 61104, 51124, 50871, 51124, 50965, 51124, 50435, 56496, 50812, 56496, 58963, 50812, 62217, 50812, 57571, 52841, 55872, 50849, 55872, 51519, 50305, 57743, 63946, 50849, 60617, 50849, 61144, 53969, 55872, 50849, 55872, 63946, 50849, 60617, 50849, 61144, 53794, 55872, 50812, 55872, 50812, 51040, 58963, 50812, 62257, 60617, 50812, 61144, 55874, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 52955, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 55872, 51191, 55872, 51191, 50900, 51191, 50956, 51191, 50965, 51191, 60617, 51191, 61144, 51191, 58439, 51307, 53623, 51307, 53523, 51124, 50956, 51124, 50965, 51124, 50435, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 52841, 65960, 50849, 65960, 69214, 67997, 50849, 64037, 50849, 70876, 53969, 65960, 50812, 65960, 66966, 50812, 64037, 50812, 70876, 54672, 55872, 51124, 55872, 51124, 50997, 51124, 50956, 51124, 50965, 51124, 60617, 51124, 61144, 66704, 55872, 50812, 55872, 50812, 62257, 60617, 50812, 61144, 54421, 53602, 50849, 53602, 67997, 58263, 58801, 50849, 57949, 50849, 58828, 50849, 55881, 51307, 52481, 51307, 50417, 54650, 51124, 54650, 51124, 71356, 59595, 51124, 56917, 51124, 56040, 58263, 58801, 53308, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 54125, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 52841, 53602, 51124, 53602, 51124, 50956, 51124, 71356, 50906, 51124, 57949, 51124, 58828, 51124, 50447, 53602, 50812, 53602, 50812, 60216, 57949, 50812, 58828, 52848, 55872, 50849, 55872, 79892, 67997 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 1076, 560, 31365, 25999, 6, 13305, 6, 81, 9756, 8669, 6, 21072, 6, 8, 11006, 4122, 12, 1054, 330, 13305, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 2635, 20889, 9, 6657, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 6711, 25935, 1626, 227, 1372, 8, 2933, 6, 19, 10, 11602, 9, 1619, 4780, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 66513, 50971, 51651, 51210, 51414, 50813, 52109, 50813, 62645, 52160, 50808, 51583, 50833, 51497, 50812, 52074, 53097, 52050, 51636, 50426, 52303, 50971, 52102, 50971, 51303, 50971, 51651, 55487, 52948, 50886, 51981, 51562, 50438, 52303, 50971, 51687, 50971, 51231, 55256, 51687, 50971, 52303, 50971, 51231, 55835, 52948, 57185, 51825, 74509, 51980, 50857, 71965, 50971, 52102, 50971, 51303, 50971, 51651, 50971, 51825, 64039, 51980, 51939, 50426, 52303, 50971, 52102, 50971, 51303, 50971, 51651, 55108, 52303, 50971, 51687, 50971, 51231, 55256, 52303, 50971, 51687, 50971, 51231, 55835, 52109, 50886, 51980, 50878, 50460, 52109, 50886, 71965, 50971, 52102, 50971, 51303, 50971, 51651, 50971, 52109, 78130, 51414, 51961, 50426, 52102, 50971, 52303, 50971, 51303, 50971, 51651, 55487, 51414, 68066, 52303, 52691, 51687, 50971, 52303, 50971, 51231, 50971, 51414, 78873, 51980, 56508, 52303, 50971, 51687, 50971, 51231, 55835, 51825, 66376, 52303, 66211, 51980, 50862, 71965, 50971, 52102, 50971, 51303, 50971, 51651, 50971, 50415, 52948, 50813, 51981, 66089, 51980, 51351, 50426, 52303, 50971, 52102, 50971, 51651, 50971, 51303, 55487, 51327, 50959, 50436, 51980, 70149, 52303, 50971, 51687, 50971, 51231, 56069, 51980, 58631, 52303, 50971, 51687, 50971, 51231, 68357, 51414, 54166, 51327, 61996, 51980, 69309, 51825, 50828, 50799, 52948, 50839, 52303, 50971, 52102, 50907, 51303, 50971, 51651, 50971, 50416, 51981, 65149, 52932, 53223, 53171, 58936, 52932, 61494, 51981, 53383, 52932, 50839, 52303, 50870, 52102, 50971, 51303, 50870, 51651, 70898, 53927, 57531, 53171, 52925, 56822, 56859, 53171, 63136, 56074, 53813, 59969, 50846, 52303, 50870, 51687, 50870, 51231, 76428, 57494, 63753, 71343, 75406, 59969, 64598, 56074, 52843, 56822, 50828, 52303, 50971, 51687, 50971, 51231, 79390, 53171, 54859, 56822, 67230, 56074, 62474, 56822, 63569, 53171, 57400, 52932, 56603, 51981, 50841, 79480, 50971, 51303, 50870, 51651, 50870, 52948, 50835, 52303, 78666, 51825, 56390, 51980, 64305, 51327, 55394, 52948, 64729, 51825, 55754, 51980, 61599, 51327, 53935, 52303, 50971, 52102, 50971, 51303, 50870, 51651, 50870, 52948, 59749, 51825, 57050, 51980, 64408, 51327, 52417, 51825, 63116, 51327, 54728, 51980, 51157, 51687, 50870, 51231, 50870, 52303, 53003, 52303, 50870, 51687, 50870, 51231, 60202, 51687, 50813, 51231, 50854, 52303, 50862, 66490, 52160, 50882, 51583, 50882, 51856, 50882, 52856, 52189, 53432, 52050, 50817, 71965, 50837, 52102, 51000, 51303, 50825, 51651, 58593, 51825, 50925, 52932, 73965, 52948, 56779, 51825, 53906, 52932, 52731, 52102, 50870, 51651, 50825, 51303, 50829, 51980, 50886, 52303, 65368, 51825, 67393, 51980, 61193, 51327, 52767, 51980, 50886, 52932, 78885, 51825, 60831, 51687, 52742, 52303, 50834, 51231, 50834, 52932, 51254, 52948, 51123, 50440, 51825, 57917, 51980, 63938, 51327, 50863, 51825, 63634, 52932, 59957, 51327, 61495, 52932, 60649, 51687, 50820, 52303, 50839, 51980, 72980, 73745, 51825, 60554, 51980, 61021, 51327, 55293, 51980, 62371, 52932, 56569, 51980, 50912, 50799, 51980, 51000, 52932, 50941, 52303, 50837, 52102, 50837, 51303, 50829, 51651, 56127, 52109, 50813, 51980, 50857, 52932, 54475, 52109, 51252, 51980, 50862, 52932, 53450, 52303, 50837, 52102, 50837, 51303, 50825, 51651, 61660, 52932, 50867, 51327, 50941, 51980, 53705, 51327, 50827, 51980, 50854, 52932, 53269, 51687, 50863, 51327, 50864, 52303, 80240, 50886, 51980, 50864, 52932, 56532, 51414, 50867, 51980, 50886, 52932, 57522, 51414, 50810, 51980, 50844, 52932, 54276, 52303, 50862, 51687, 50857, 51231, 58186, 51825, 50854, 52932, 64175, 52303, 50854, 52948, 50854, 52932, 50857, 79480, 50870, 51651, 50837, 51825, 50813, 52932, 52063, 51303, 50835, 52303, 56231, 51980, 68582, 51327, 67724, 52932, 51177, 51980, 53803, 52102, 50904, 51651, 50837, 51825, 50874, 52303, 50886, 51303, 52818, 51981, 63116, 52932, 53813, 51687, 50904, 53927, 50812, 52303, 80240, 64100, 53171, 53743, 56822, 50940, 50448, 53171, 54004, 51687, 50837, 51231, 50867, 52303, 50886, 56074, 69821, 53171, 53173, 59969, 50961, 71343, 63848, 57494, 56249, 59969, 50828, 71343, 51255, 50460, 57494, 50840, 50799, 51651, 50829, 52303, 50825, 52102, 50867, 51303, 60461, 59969, 66182, 56074, 50864, 56822, 62846, 53171, 65599, 56822, 50828, 71343, 57629, 52303, 50886, 52102, 50874, 51303, 50834, 51651, 50886, 56074, 56865, 71343, 51832, 50430, 56074, 64205, 56822, 54860, 53171, 50878, 50436, 56822, 51115, 71343, 74610, 52303, 50825, 51687, 50835, 51231, 53057, 52303, 50867, 51687, 72980, 58186, 51687, 51178, 51231, 51121, 52303, 51100, 66490, 51583, 50811, 51856, 79709, 50882, 51245, 52651, 52050, 52885, 67152, 50837, 79480, 50942, 54872, 50910, 51303, 50959, 67211, 52971, 50882, 52023, 50950, 75058, 51497, 52651, 52050, 51759, 73486, 52611, 50426, 52102, 51128, 51651, 50941, 52303, 50835, 51303, 54956, 51825, 50910, 52932, 54372, 52948, 55167, 51825, 50836, 52932, 53894, 51687, 50941, 51980, 50942, 52932, 51142, 52303, 50864, 51231, 57917, 51327, 54434, 51980, 50873, 52932, 57415, 52303, 50874, 51687, 50864, 51231, 50867, 51980, 50844, 52932, 57651, 52303, 50901, 79480, 50851, 51303, 50857, 51651, 50864, 52109, 50857, 51825, 50855, 53001, 50904, 52932, 56572, 52109, 50971, 53001, 51000, 51825, 50820, 52932, 52944, 51327, 50827, 51980, 50822, 53001, 50904, 52932, 53935, 52109, 50904, 51825, 50857, 53001, 50971, 52932, 50864, 52303, 50864, 52102, 50912, 51303, 50813, 51651, 61660, 52109, 51126, 51825, 50829, 53001, 50971, 52932, 54854, 53001, 50864, 51327, 50864, 51980, 50857, 52932, 54350, 51980, 50862, 52932, 50827, 51414, 50822, 51981, 53894, 51687, 50837, 51231, 50886, 52303, 59356, 51980, 50864, 51414, 50864, 51981, 50886, 52932, 54394, 51414, 50844, 51980, 50854, 51981, 50833, 52932, 53140, 52303, 50813, 51687, 80240, 55726, 52948, 51221, 50454, 52932, 51124, 79480, 51524, 51651, 51365, 52303, 51008, 51303, 50874, 51825, 50878, 50418, 52948, 55105, 51981, 50878, 50424, 52932, 56412, 52102, 50907, 52303, 50851, 51303, 50867, 51651, 67393, 53927, 54860, 53171, 66144, 56822, 56810, 52303, 72980, 50867, 51687, 57917, 56074, 69869, 56822, 55368, 53171, 56888, 56822, 58138, 52303, 50813, 51687, 50829, 51231, 62603, 59969, 71529, 59969, 50961, 57494, 50882, 79480, 50886, 52303, 50835, 51303, 50834, 51651, 50834, 57494, 50940, 50418, 59969, 66553, 56074, 51620, 52303, 50886, 52102, 50912, 51303, 50834, 51651, 50941, 56822, 50940, 50430, 53171, 63023, 56822, 56360, 52303, 50862, 51687, 80240, 50862, 56074, 65389, 56822, 50866, 50449, 56822, 53068, 52303, 50813, 51687, 72980, 50813, 56822, 66145, 59969, 50828, 71343, 68384, 57494, 62309, 59969, 50820, 71343, 58223, 57494, 50862, 79480, 51330, 51651, 50932, 52303, 50995, 51303, 50981, 59969, 50839, 71343, 58315, 57494, 65000, 59969, 50839, 71343, 50844, 50419, 57494, 58745, 59969, 50839, 71343, 56174, 57494, 53425, 59969, 50841, 71343, 50822, 52303, 51480, 52102, 51108, 51303, 50981, 51651, 51108, 50427, 57494, 59225, 59969, 50839, 71343, 69227, 57494, 59062, 57494, 50810, 71343, 53269, 52303, 51194, 51687, 51043, 51231, 51194, 57494, 50858, 71343, 50905, 50442, 50624, 59969, 60886, 50624, 56074, 50862, 71343, 54185, 50623, 52303, 51095, 51687, 51178, 51231, 51110, 71343, 50905 ]

[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 25306, 619, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 762, 9, 272, 3694, 31473, 10, 2829, 2933, 5466, 7, 42, 765, 2125, 6, 61, 1575, 10, 33215, 16739, 9, 211, 6, 272, 119, 6, 8, 274, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50450, 51487, 67860, 76195, 57631, 57631, 66154, 66154, 61471, 61471, 51608, 50330, 55069, 51339, 50805, 53975, 70156, 57631, 57631, 58835, 58835, 65439, 65439, 51608, 50328, 51608, 50331, 54243, 52052, 57260, 62525, 59428, 59428, 58419, 58419, 62931, 62931, 51608, 50333, 55112, 52128, 52446, 50956, 62930, 62930, 62930, 58419, 58419, 65934, 65934, 51608, 50326, 51608, 50335, 55082, 50902, 58050, 55143, 78620, 58419, 58419, 58419, 51608, 50326, 51608, 50335, 55069, 50968, 61552, 50805, 59733, 50805, 51339, 59428, 75427, 51077, 50965, 51077, 50965, 51077, 50876, 51077, 50876, 51077, 50931, 51077, 50931, 64739, 52128, 53184, 51487, 52450, 51339, 50808, 52128, 53847, 51405, 50808, 51487, 52559, 51399, 50808, 51339, 53263, 71214, 51405, 52599, 79299, 51399, 54134, 71214, 52128, 52711, 79299, 51487, 53668, 51339, 50808, 52128, 52741, 51430, 50808, 51487, 53987, 51399, 50808, 51339, 52643, 71214, 51430, 53848, 79299, 51399, 50808, 62856, 50808, 51062, 54275, 79299, 51487, 52734, 51147, 50808, 51339, 53184, 66736, 51430, 52450, 51147, 57449, 59428, 59428, 59428, 62202, 62202, 58835, 58835, 51608, 50333, 55112, 51081, 52446, 50956, 62930, 59428, 59428, 59460, 59460, 58835, 58835, 51608, 50328, 51608, 50333, 55082, 51220, 57260, 62525, 59428, 59428, 66154, 66154, 61471, 61471, 51608, 50333, 55069, 51146, 50805, 53975, 70156, 57631, 57631, 58835, 58835, 65439, 65439, 65934, 51608, 50331, 54243, 50931, 74563, 69769, 51608, 50297, 62202, 62202, 61471, 61471, 62931, 62931, 55112, 73067, 51062, 57807, 50902, 52599, 51487, 74563, 76195, 51077, 51026, 51077, 79721, 79721, 50973, 51077, 50973, 51077, 50902, 51077, 50902, 63883, 51339, 53668, 51405, 52741, 71216, 51339, 53987, 71214, 51405, 52643, 51220, 50808, 51146, 53848, 74964, 71214, 56807, 50808, 51220, 54275, 74964, 51339, 52734, 66736, 51405, 53184, 71216, 51339, 52450, 71214, 51405, 53847, 51220, 50808, 51146, 52559, 71214, 52128, 53263, 51220, 50808, 51487, 52599, 51339, 50808, 52128, 54134, 51405, 50808, 51487, 52711, 71216, 51339, 53668, 71214, 51405, 52741, 61795, 61795, 51081, 57260, 62525, 57631, 78620, 58419, 51608, 50330, 55069, 51050, 69769, 50805, 51147, 50805, 55881, 50805, 51197, 60693, 61480, 62930, 57631, 78620, 58419, 51608, 50335, 55385, 50956, 61480, 50805, 51487, 52483, 50899, 57260, 50805, 51339, 61480, 62930, 59460, 59460, 58835, 58835, 51608, 50328, 55112, 50900, 62530, 50805, 51405, 52446, 50931, 74492, 73090, 59428, 59428, 58419, 58419, 61471, 61471, 51608, 50330, 55480, 50951, 52596, 51147, 62530, 70156, 62930, 62930, 62202, 62202, 65439, 65439, 51608, 50328, 55069, 50951, 50805, 60820, 59879, 62525, 51077, 50899, 51077, 50965, 51077, 50965, 51077, 50906, 51077, 50906, 51077, 50931, 51077, 50931, 64739, 51339, 53184, 51405, 52450, 71216, 51339, 53847, 71214, 51405, 52559, 79299, 51146, 53263, 71214, 52128, 52599, 79299, 51487, 54134, 51339, 50808, 52128, 52711, 51405, 50808, 51487, 53668, 71216, 51339, 52741, 50965, 50805, 51405, 61480, 62930, 78620, 58419, 65934, 65934, 51608, 50331, 55069, 50861, 50805, 51399, 50805, 54960, 56472, 63379, 63379, 50805, 51176, 51608, 50300, 62202, 62202, 51608, 50328, 51608, 50331, 55385, 50902, 58050, 59879, 59879, 52483, 61795, 51026, 58204, 58419, 65439, 65439, 65934, 65934, 51608, 50326, 51608, 50331, 55112, 51176, 50805, 51176, 52446, 51081, 74492, 73090, 58419, 58419, 65439, 65439, 62931, 62931, 62931, 55480, 51062, 52596, 51081, 50805, 51234, 51608, 50290, 59428, 59428, 61471, 61471, 62931, 62931, 51608, 50330, 55069, 51147, 50805, 76953, 60693, 51608, 50295, 51077, 51197, 51077, 79721, 79721, 50906, 51077, 50906, 51077, 51001, 51077, 51001, 64739, 51487, 53184, 51339, 52450, 51405, 50808, 51487, 53847, 51399, 50808, 51339, 52559, 71214, 51405, 53263, 79299, 51399, 52599, 51147, 50808, 51062, 54134, 79299, 51487, 52711, 51147, 50808, 51339, 53668, 51405, 50808, 51487, 52741, 71216, 51339, 53987, 71214, 51405, 52643, 79299, 51146, 53848, 51147, 50808, 71214, 56807, 50808, 51081, 54275, 51147, 50808, 51339, 52734, 66736, 51405, 53184, 66695, 51146, 52450, 50956, 61480, 60693, 61480, 62930, 58419, 58419, 65934, 65934, 51608, 50331, 55112, 50899, 57260, 59879, 52446, 51405, 62530, 70156, 62930, 62930, 58835, 58835, 65439, 65934, 65934, 55480, 51146, 52596, 50997, 73090, 62930, 62930, 58835, 58835, 65439, 65934, 65934, 51608, 50328, 50889, 56229, 72136, 51608, 50301, 62930, 62930, 58835, 58835, 62931, 62931, 51608, 50328, 55385, 50876, 52483, 51086, 51608, 50303, 62525, 57631, 57631, 62931, 62931, 51608, 50330, 62525, 51077, 50951, 61086, 51405, 62530, 70156, 62525, 57631, 57631, 65439, 65439, 55480, 51487, 55082, 51085, 51608, 50292, 70156, 70156, 59460, 59460, 65439, 65439, 51608, 50328, 55069, 51787, 50805, 75464, 50805, 51220, 76195, 51077, 51026, 51077, 50899, 51077, 50899, 51077, 50973, 51077, 50973, 51077, 50902, 51077, 50902, 64739, 52128, 53184, 51487, 52450, 51339, 50808, 52128, 53847, 51405, 50808, 51487, 52559, 71216, 51339, 53263, 71214, 51405, 52599, 51220, 50808, 51146, 54134, 74964, 51062, 52711, 66736, 51220, 53668, 79630, 50999, 52741, 51026, 76195, 57631, 57631, 66154, 66154, 61471, 61471, 51608, 50327, 65934, 51141, 53997, 51608, 50292, 57631, 57631, 58835, 58835, 65439, 65439, 65439, 55385, 51147, 52483, 51081, 50805, 51120, 51608, 50294, 59428, 59428, 58419, 58419, 61471, 61471, 62931, 55112, 51147, 52446, 51315, 51608, 50296, 57631, 78620, 58419, 58835, 58835, 65934, 51608, 50328, 55082, 51050, 70156, 70156, 59460, 59460, 58835, 58835, 62931, 78599, 51608, 50297, 51077, 54197, 62525, 62525, 57631, 78620, 58419, 65934, 51608, 50326, 54243, 51315, 51608, 50296, 70156, 70156, 57631, 78620, 58419, 65934, 51608, 50328, 53912, 71214, 50999, 51116, 51050, 51077, 51050, 51077, 50900, 51077, 50900, 75427, 75427, 74114, 74114, 51077, 50441, 51339, 52711, 51405, 53668, 51399, 50808, 51339, 52741, 71214, 51405, 53987, 79299, 51399, 52643, 74964, 51062, 53848, 79299, 51787, 50808, 58479, 50808, 51339, 54275, 51405, 50808, 51787, 52734, 51399, 50808, 51339, 53184, 71214, 51405, 52450, 51220, 50808, 51146, 53847, 71214, 52128, 52559, 51220, 50808, 51487, 53263, 51339, 50808, 52128, 52599, 51405, 50808, 51487, 54134, 71216, 51339, 52711, 71214, 51405, 53668, 51220, 50808, 51146, 52741, 51062, 50805, 51197, 51608, 50295, 70156, 70156, 57631, 57631, 58835, 58835, 51608, 50328, 55069, 51405, 50889, 54594, 68555, 51176, 51608, 50300, 70156, 70156, 58835, 58835, 51608, 50328, 55385, 50871, 57449, 50805, 51339, 52483, 50902, 58050, 67860, 76195, 57631, 78620, 58419, 51608, 50326, 51608, 50335, 55112, 51001, 63379, 52446, 51027, 72136, 57449, 57449, 56472, 56472, 66083, 68968, 59879, 62931, 55480, 51086, 50805, 68246, 57260, 58050, 58050, 59879, 50805, 51147, 52596, 50956, 61480, 55143, 68555, 51062, 62530, 70156, 65439, 65439, 65934, 55069, 50900, 62530, 56472, 56472, 63379, 50805, 57190, 59879, 69769, 51608, 50297, 62202, 58835, 58835, 61471, 51608, 50324, 61471, 64739, 50965, 63379, 52483, 50899, 58050, 67860, 76195, 62525, 66154, 66154, 61471, 65934, 55112, 50899, 50805, 51220, 52446, 50951, 68968, 51608, 50292, 51077, 51085, 51077, 50956, 51077, 50956, 51077, 79721, 79721, 50876, 51077, 50876, 63883, 51399, 53668, 51062 ]

[ 0, 250, 15352, 30054, 1619, 2214, 11, 5, 3495, 2496, 19, 15855, 16882, 6, 4246, 856, 17993, 6, 10170, 1499, 6, 21979, 8669, 6, 21040, 2426, 6, 8, 21979, 9590, 6, 278, 11, 10, 19448, 155, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 11061, 163, 5683, 6, 24826, 198, 5, 762, 9, 274, 538, 19, 10, 5705, 16331, 33215, 16739, 9, 230, 406, 6, 274, 6, 163, 428, 6, 230, 406, 6, 8, 274, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51034, 50629, 51007, 50834, 50761, 50302, 51662, 72132, 51662, 59888, 51518, 51261, 51591, 53360, 50994, 51252, 74481, 67722, 51007, 56231, 51007, 62238, 51007, 63266, 51007, 53070, 51007, 50825, 50960, 65151, 51550, 50421, 51007, 50837, 51007, 55983, 51007, 53991, 51007, 59825, 51007, 58990, 51007, 50870, 51007, 52712, 51007, 50825, 57101, 50849, 50970, 57429, 50370, 69972, 51252, 50427, 51007, 50908, 50428, 51007, 58027, 51007, 60741, 51007, 79371, 53063, 51007, 50829, 53081, 50805, 50960, 55006, 51550, 50433, 51007, 50891, 51007, 56446, 51007, 54950, 51007, 59131, 51007, 57540, 51007, 52621, 57101, 50873, 51994, 50889, 51067, 61073, 55171, 55641, 51252, 50439, 51007, 50908, 51007, 62047, 51007, 56755, 51007, 79371, 60067, 51007, 62971, 51007, 53162, 51007, 77729, 50820, 57101, 50917, 50960, 50925, 51140, 50917, 50913, 51550, 50445, 51007, 57728, 51007, 50891, 51007, 54368, 51007, 56918, 51007, 50829, 51034, 50850, 50834, 50761, 50301, 51662, 50761, 50304, 51662, 50761, 50307, 51518, 66963, 51518, 58169, 51518, 54520, 51518, 52498, 50943, 51140, 51486, 53360, 50994, 51252, 59609, 67722, 50850, 56231, 50850, 62238, 50850, 63266, 50850, 53070, 50850, 50825, 63896, 50913, 51550, 50421, 50850, 63607, 55983, 50850, 53991, 50850, 59825, 50850, 58990, 50850, 67804, 52712, 50850, 50825, 59888, 50849, 51873, 50943, 51136, 57429, 50370, 69972, 51252, 64349, 50908, 50428, 50850, 58027, 50850, 60741, 50850, 58213, 53063, 50850, 50829, 53587, 50805, 50986, 55006, 51550, 50433, 50850, 76780, 56446, 50850, 54950, 50850, 59131, 50850, 57540, 50850, 52621, 55233, 50873, 51531, 51003, 50947, 61073, 55171, 55641, 51252, 62100, 71040, 62047, 50850, 56755, 50850, 58213, 60067, 50850, 62971, 50850, 53162, 50850, 58875, 50820, 59888, 50917, 50986, 63832, 51550, 50445, 50850, 57728, 50850, 76780, 54368, 50850, 56918, 50850, 50829, 51034, 51298, 50834, 50761, 50301, 51662, 50761, 50304, 51592, 50761, 50307, 51518, 50672, 50285, 51486, 51994, 50914, 51873, 50914, 52183, 50914, 51140, 51591, 53360, 50994, 51252, 50415, 51298, 67722, 51298, 56231, 51298, 62238, 51298, 63266, 51298, 53070, 51298, 50825, 63896, 50913, 51550, 50421, 51298, 50837, 51298, 55983, 51298, 53991, 51298, 59825, 51298, 58990, 51298, 50870, 51298, 52712, 51298, 50825, 59829, 51100, 52498, 50943, 51873, 50943, 51666, 50943, 51136, 57429, 50370, 69972, 51252, 50427, 51298, 50908, 50428, 51298, 58027, 51298, 60741, 51298, 50835, 51298, 53063, 51298, 50829, 53587, 50901, 50986, 55006, 51550, 50433, 51298, 50891, 51298, 56446, 51298, 54950, 51298, 59131, 51298, 57540, 51298, 52621, 55233, 51194, 54520, 51003, 51873, 51003, 51531, 51003, 50947, 61073, 55171, 55641, 51252, 50439, 51298, 50908, 51298, 62047, 51298, 56755, 51298, 50835, 51298, 60067, 51298, 62971, 51298, 53162, 51298, 50820, 51298, 50820, 59888, 50901, 50986, 50925, 51150, 50917, 50913, 51550, 50445, 51298, 57728, 51298, 50891, 51298, 54368, 51298, 56918, 51298, 50829, 51034, 51007, 50834, 72132, 51703, 59888, 51148, 57101, 51080, 53081, 51447, 50672, 50290, 51077, 68962, 51077, 51994, 50889, 52157, 51103, 53360, 50994, 51252, 74481, 67722, 51007, 56231, 51007, 62238, 51007, 63266, 51007, 53070, 51007, 50825, 50960, 65151, 51550, 50421, 51007, 50837, 51007, 55983, 51007, 53991, 51007, 59825, 51007, 58990, 51007, 50870, 51007, 52712, 51007, 50825, 53342, 51077, 51988, 51077, 50970, 57429, 50370, 69972, 51252, 50427, 51007, 50908, 50428, 51007, 58027, 51007, 60741, 51007, 79371, 53063, 51007, 50829, 50960, 55006, 51550, 50433, 51007, 50891, 51007, 56446, 51007, 54950, 51007, 59131, 51007, 57540, 51007, 52621, 50847, 50834, 50761, 50302, 52025, 50761, 50305, 51097, 74077, 51330, 55553, 51333, 50672, 50293, 50943, 52157, 58028, 55171, 55641, 51252, 50439, 50847, 66424, 50847, 55788, 50847, 59457, 50847, 60862, 50847, 53027, 50847, 50825, 51246, 65151, 51550, 79144, 64780, 56453, 50847, 54673, 50847, 61333, 50847, 57723, 50847, 50870, 51034, 50909, 50834, 50761, 50307, 53082, 59888, 53082, 55233, 53082, 53587, 53082, 66963, 50943, 51873, 51127, 52183, 51127, 51691, 51127, 51140, 51047, 53360, 50994, 51252, 60043, 67722, 50909, 56231, 50909, 62238, 50909, 63266, 50909, 53070, 50909, 50825, 63896, 50913, 51550, 50421, 50909, 50837, 50909, 55983, 50909, 53991, 50909, 59825, 50909, 58990, 50909, 50870, 50909, 52712, 50909, 50825, 50672, 50285, 51003, 51136, 57429, 50370, 69972, 51252, 67577, 50908, 50428, 50909, 58027, 50909, 60741, 50909, 67234, 53063, 50909, 50829, 50986, 55006, 51550, 50433, 50909, 50891, 50909, 56446, 50909, 54950, 50909, 59131, 50909, 57540, 50909, 52621, 70696, 51150, 61701, 55171, 55641, 51252, 76858, 50908, 50909, 62047, 50909, 56755, 50909, 67234, 60067, 50909, 62971, 50909, 53162, 50909, 68341, 50820, 50986, 63832, 51550, 50445, 50909, 57728, 50909, 50891, 50909, 54368, 50909, 56918, 50909, 50863, 50909, 50829, 51034, 50909, 50834, 51140, 51218, 53360, 50994, 51252, 60043, 67553, 50909, 56231, 50909, 62307, 50909, 53070, 50909, 68341, 50820, 50986, 53189, 51550, 50421, 50909, 54104, 50909, 60463, 50909, 58990, 50909, 52670, 50909, 50870, 51136, 50952, 75941, 50370, 69972, 51252, 67577, 70246, 64561, 50909, 53943, 50909, 58032, 50909, 67234, 53063, 50909, 70246, 50820, 50986, 56474, 51550, 50433, 50909, 56565, 50909, 54606, 50909, 54617, 51252, 50436, 50909, 57405, 50909, 68341, 52950, 52758, 68185, 50834, 51666, 50805, 50947, 50938, 51140, 51400, 75941, 54553, 58071, 55641, 51252, 76858, 66424, 50909, 50837, 53012, 51252, 50442, 50909, 59692, 50909, 53114, 54544, 50987, 50909, 50834, 52183, 50838, 50986, 53119, 55641, 51550, 50445, 50909, 56453, 50909, 53528, 50909, 53966, 77047, 50909, 70246, 56038, 50909, 50820, 51034, 53141, 51090, 50761, 50302, 51662, 72132, 51662, 59888, 51518, 50672, 50290, 51538, 51988, 51538, 51666, 51538, 51691, 50889, 52157, 51486, 53360, 52054, 54711, 50960, 55035, 52969, 51013, 57101, 50849, 51871, 50943, 50970, 57429, 54661, 53081, 50805, 50960, 54181, 53141, 51013, 57101, 50873, 51691, 50943, 51067, 61073, 54478, 57101, 50917, 50960, 50925, 51034, 54489, 50807, 50761, 50302, 52431, 72132, 51422, 59888, 51662, 70731, 51939, 57970, 51183, 53342, 51183, 52498, 51183, 53094, 51183, 51988, 51003, 52157, 51486, 50801, 54711, 51246, 55035, 52758, 50896, 51666, 50914, 50960, 57429, 54661, 57101, 51679, 51246, 54181, 53141, 50893, 53081, 51233, 51691, 50873, 51169, 61073, 54478, 54544, 50866, 63718, 50874, 52183, 50974, 51246, 50925, 51034, 66023, 50807, 50761, 50307, 53082, 55553, 53082, 57101, 53082, 50672, 50295, 51692, 57569, 51692, 57970, 51692, 52498, 51003, 51560, 51591, 50801, 54711, 51246, 55035, 54890, 51090, 51994, 50889, 51136, 57429, 54661, 51246, 54181, 54489, 51090, 51988, 50889, 51064, 61073, 54478, 51246, 50925, 51034, 66023, 51013, 50672, 50295, 51127, 57569, 51127, 57970, 51127, 54520, 50943, 51560, 51486, 50801, 54711, 51246, 52654, 54890, 51013, 51994, 50943, 51136, 50952, 50903, 54661, 51246, 53415, 54489, 50795, 51988, 50901, 51064, 50938, 50903, 54478, 54890, 50987, 51994, 50974, 51246, 50810, 51034, 56026, 50896, 50761, 50301, 53413, 50761, 50304, 53478, 50761, 50307, 52821, 68962, 51486, 58169, 51486, 54520, 51486, 52498, 50914, 51140, 51591, 50801, 54711, 59888 ]

[ 0, 250, 5679, 26709, 8, 19448, 15855, 2125, 6, 42, 8787, 15229, 30853, 23, 10, 2635, 20889, 6, 7630, 14805, 10, 1472, 9, 3722, 5581, 4, 20, 2342, 4467, 1239, 5, 483, 6, 7513, 30, 5, 32625, 23225, 9, 41, 21979, 8669, 6, 3459, 8669, 6, 6755, 12547, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 274, 6, 230, 6, 163, 428, 6, 8, 230, 406, 6, 2351, 10, 43580, 3693, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 50, 10, 1151, 9, 5128, 12456, 148, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50619, 51113, 50824, 51093, 51352, 51395, 50824, 51201, 54107, 51154, 51352, 51113, 51352, 51395, 53663, 52776, 50811, 51299, 51300, 50440, 53623, 55092, 53215, 60869, 52602, 52940, 54333, 57915, 52143, 55059, 53599, 57795, 52371, 52768, 52481, 50811, 51883, 50976, 50452, 52830, 55552, 51887, 57916, 53148, 57859, 51699, 50817, 52316, 52193, 51883, 58691, 51638, 56995, 52065, 50817, 51299, 57239, 51794, 60488, 51251, 56912, 51426, 50817, 51301, 50817, 50799, 54809, 51059, 51596, 51059, 54244, 50932, 51638, 51009, 51251, 51009, 51154, 51009, 51261, 57214, 52286, 50838, 52000, 50838, 51322, 52688, 52000, 50838, 73142, 51256, 58125, 55830, 50811, 52161, 52726, 53124, 50811, 51606, 50811, 52000, 56784, 52182, 50811, 51565, 52952, 57624, 51059, 51752, 51059, 51664, 50932, 51883, 51009, 51299, 51009, 51154, 51009, 51793, 57310, 52286, 50838, 51451, 52985, 51664, 50838, 51451, 50838, 51256, 59354, 54809, 50811, 51596, 52884, 55830, 50811, 52161, 50811, 51664, 56517, 53124, 50811, 51606, 50811, 50799, 67966, 50860, 52315, 50860, 51830, 50932, 51638, 51009, 51426, 51009, 51088, 51009, 52078, 57214, 52315, 50811, 51827, 50811, 52000, 50838, 51772, 56909, 52182, 50811, 51565, 52968, 55830, 51059, 52161, 51059, 52000, 50838, 51772, 50838, 51209, 53052, 51830, 52718, 52286, 50932, 51299, 51009, 51426, 51009, 51113, 51009, 51093, 51009, 51793, 68071, 51752, 50811, 51673, 52940, 52155, 50811, 51686, 50811, 51451, 50838, 51772, 57060, 53124, 50811, 51606, 52768, 53124, 50817, 51606, 50817, 51772, 50838, 65905, 51334, 70792, 55830, 50817, 52161, 62353, 53124, 50817, 51606, 54085, 55830, 50817, 52161, 57916, 53124, 50817, 51606, 50817, 55830, 50817, 52161, 57859, 53124, 50817, 51606, 50817, 55830, 50817, 52161, 52193, 54809, 50803, 51596, 50803, 52286, 56517, 55830, 50811, 52161, 50811, 50799, 54809, 50860, 51596, 50860, 52000, 50932, 51251, 51009, 51154, 51009, 51165, 51009, 52078, 61912, 57624, 50803, 51752, 50803, 73142, 51256, 56909, 67966, 51059, 52315, 65084, 73142, 51256, 50838, 51408, 53052, 51664, 52718, 52315, 51059, 51827, 51059, 51830, 50932, 51251, 50824, 51088, 50824, 51165, 53681, 73142, 51209, 50838, 51408, 52985, 51209, 50838, 51408, 50838, 51390, 50838, 51088, 50824, 51165, 50824, 51107, 57325, 52182, 50811, 51565, 52884, 52155, 50811, 51686, 50811, 51830, 56517, 52315, 50811, 51827, 50811, 50799, 57624, 51059, 51752, 51059, 52733, 50932, 51299, 50824, 51088, 50824, 51984, 57214, 51451, 50838, 51209, 52688, 63326, 51334, 50838, 51301, 50824, 51093, 58542, 54120, 50811, 51789, 52726, 52182, 50811, 51565, 50811, 52733, 56784, 52315, 50811, 51827, 52952, 52155, 51059, 51686, 51059, 52286, 50932, 51299, 77105, 50824, 51113, 50824, 51793, 57310, 51451, 50838, 51256, 50838, 51229, 52985, 51664, 50838, 51451, 50838, 51256, 50838, 51334, 50838, 51299, 77105, 50824, 51093, 57325, 53124, 50811, 51606, 52884, 54809, 50811, 51596, 50811, 52286, 56517, 57624, 50811, 51752, 50811, 50799, 67966, 51059, 52315, 51059, 52468, 50932, 51638, 50824, 51251, 77105, 50824, 51389, 57214, 52000, 50838, 73142, 51256, 52688, 73142, 51256, 50838, 51408, 50838, 51251, 77105, 50824, 51165, 58542, 54809, 50811, 51596, 52726, 53124, 50811, 51606, 50811, 52468, 56784, 52155, 50811, 51686, 52952, 52182, 51059, 51565, 51059, 52733, 50932, 51299, 50824, 51088, 50824, 51984, 57310, 51451, 50838, 51209, 52985, 51451, 50838, 51209, 50838, 51408, 50838, 51299, 50824, 51088, 50824, 51165, 57325, 54120, 50811, 51789, 52884, 57624, 50811, 51752, 50811, 52733, 56517, 67966, 50811, 52315, 50811, 50799, 68645, 50803, 52155, 50803, 52286, 50932, 51299, 50824, 51088, 50824, 51165, 50824, 51793, 67330, 57624, 50811, 51752, 53213, 54120, 50803, 51789, 50803, 51451, 50838, 51209, 50838, 51408, 56909, 53124, 50811, 51606, 52968, 53124, 51059, 51606, 51059, 51451, 50838, 51256, 50838, 65905, 51299, 77105, 50824, 51113, 53566, 51664, 52718, 52000, 50838, 51154, 50824, 51088, 50824, 52078, 57699, 52182, 50811, 51565, 52940, 52315, 50811, 51827, 50811, 51830, 50838, 51256, 50838, 51209, 57060, 51596, 50811, 51886, 52768, 53124, 50811, 51606, 50811, 51451, 50838, 63326, 51408, 50838, 51299, 50824, 51301, 50824, 51165, 50824, 51150, 50824, 50452, 54120, 50817, 51789, 57916, 53124, 50817, 51606, 50817, 54120, 50817, 51789, 57859, 53124, 50817, 51606, 50817, 54120, 50817, 51789, 52193, 53124, 50817, 51606, 50817, 53046, 67590, 54120, 50817, 51789, 50817, 53124, 50817, 51606, 56995, 54120, 50817, 51789, 53736, 53124, 50811, 51606, 50811, 50799, 53124, 51009, 51606, 51009, 52286, 50932, 51299, 77105, 50824, 51113, 50824, 51793, 54226, 51451, 50838, 51256, 50838, 51229, 52688, 51664, 50838, 51451, 50838, 51256, 50838, 51334, 50838, 51299, 77105, 50824, 78469, 51930, 53566, 54223, 52718, 53320, 51059, 52251, 51059, 52468, 50932, 51251, 50824, 51375, 50824, 51357, 50824, 51389, 53681, 73142, 51674, 50838, 51590, 52985, 73142, 51674, 50838, 51590, 50838, 51893, 50838, 51251, 50824, 51375, 50824, 51357, 50824, 51793, 57325, 53124, 50811, 51606, 52884, 54809, 50811, 51596, 50811, 52286, 56517, 57624, 50811, 51752, 50811, 50799, 65938, 51059, 52202, 51059, 51830, 50932, 51154, 50824, 51088, 50824, 51107, 50824, 52078, 57214, 51256, 50838, 51209, 50838, 51390, 52688, 66753, 51256, 50838, 51209, 50838, 51154, 50824, 51088, 58542, 57624, 50811, 51752, 52726, 54809, 50811, 51596, 50811, 53008, 56784, 55830, 50811, 52161, 52952, 53124, 50811, 51606, 50811, 54849, 50932, 51251, 77105, 50824, 51668, 57699, 52182, 50811, 51565, 52940, 53320, 50811, 52251, 50811, 73142, 51256, 57060, 52202, 50811, 52156, 52768, 51596, 50860, 51886, 50860, 73142, 51256, 50838, 51590, 50838, 51251, 77105, 50824, 51357, 50824, 52078, 54098, 53124, 50860, 51606, 50860, 51830, 50838, 50799, 55830, 50860, 52161, 50860, 53046, 50932, 51426, 50824, 51088, 50824, 51150, 57214, 54809, 50803, 51596, 50803, 51772, 50838, 51209, 56909, 57624, 50811, 51752, 52968, 52161, 51059, 52480, 51059, 51772, 50838, 51209, 50838, 51334, 50838, 51426, 50824, 51088, 50824, 51093, 53566, 51451, 52718, 52000, 50932, 51638, 50824, 51426, 50824, 52078, 68071, 51596, 50811, 51886, 52940, 51752, 50811, 51673, 50811, 51830, 50838, 51772, 57060, 51596, 50811, 51886, 57795, 52202, 50817, 52156, 52568, 51752, 51059, 51673, 51059, 51772, 50838, 51209, 50838, 51638, 50824, 51426, 50824, 51088, 54098, 52000, 50838, 50799, 53008, 50932, 51251, 77105, 50824, 52078, 69881, 52315, 50811, 51827, 53213, 53320, 50811, 52251, 50811, 73142, 51256, 56909, 52182, 50811, 51565, 52968, 53124, 50811, 51606, 50811, 73142, 51256, 50838, 51590, 50838, 51251, 77105, 50824, 51375, 50824, 51357, 58542, 55830, 50811, 52161, 52726, 54809, 50811, 51596, 50811, 51674, 56784, 52202, 50811, 52156, 52952, 51752, 50803, 51673, 50803, 51209, 50838, 51638, 62748, 56119, 51596, 50817, 51886, 60178, 51752, 50817, 51673, 58772, 52202, 50817, 52156, 52267, 51752, 50803, 51673, 50803, 51256, 50838, 51674, 50838, 51334, 50838, 51154, 50802, 51375, 68308, 55373, 51596, 50811, 51886, 52768, 52161, 50802, 52480, 50802, 51209, 50838, 51590, 50838, 51088, 50824, 51357, 54098, 51596, 50803, 51886, 50803, 51830, 56517, 51752, 50811, 51673, 50811, 72849, 51009, 51673, 51009, 53046, 50932, 51426, 50824 ]

[ 0, 250, 2635, 12, 20764, 15855, 2125, 4246, 856, 17993, 6, 6755, 12547, 6, 3551, 139, 6, 2662, 271, 6, 8, 21711, 102, 6, 7630, 14805, 10, 25306, 5466, 10686, 13, 822, 2369, 36546, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 22848, 10, 33215, 16739, 9, 3676, 6, 211, 119, 6, 8, 381, 6, 2351, 10, 1472, 9, 4149, 6, 9733, 6, 8, 15073, 624, 63, 6561, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 54291, 50921, 55725, 51160, 53827, 50806, 53827, 50806, 51201, 50921, 51384, 51160, 53304, 50806, 64013, 52774, 54291, 50880, 53827, 50806, 53827, 50806, 79638, 53304, 50806, 64013, 54901, 54291, 50821, 51201, 52422, 54291, 50821, 55233, 50806, 53011, 50806, 53011, 50806, 51201, 50821, 68027, 53304, 50806, 75885, 57200, 53546, 50821, 51266, 52686, 58989, 50821, 53546, 50806, 53011, 50806, 53011, 50806, 51394, 50821, 51266, 50806, 53304, 50806, 75885, 55246, 54269, 50821, 51284, 52877, 53081, 50921, 55725, 51160, 54296, 50806, 54296, 50806, 51107, 50921, 51384, 51160, 54971, 50806, 50755, 50302, 52692, 53081, 50921, 54296, 50806, 54296, 50806, 51107, 50921, 53159, 50806, 50755, 50302, 55967, 54291, 50821, 51201, 53153, 54291, 50821, 53081, 50921, 53941, 50806, 53941, 50806, 51201, 50821, 51107, 50921, 53304, 50806, 50755, 50301, 59908, 53546, 50821, 51266, 52935, 53081, 50880, 58989, 50821, 53941, 50806, 53941, 50806, 75114, 51394, 50821, 53304, 50806, 50755, 50301, 56277, 54269, 50821, 51284, 50821, 50799, 53081, 50921, 55725, 51160, 53155, 50806, 53155, 50806, 51107, 50921, 51384, 51160, 54971, 50806, 50755, 50299, 52774, 53081, 50880, 53155, 50806, 53155, 50806, 75114, 53159, 50806, 50755, 50299, 54901, 58989, 50821, 51394, 52422, 58989, 50821, 61991, 50921, 53941, 50806, 53941, 50806, 51394, 50821, 51488, 50921, 54388, 50806, 50755, 50301, 57200, 54269, 50821, 51284, 52686, 53546, 50880, 54269, 50821, 58209, 50806, 58209, 50806, 70054, 51284, 50821, 53304, 50806, 73810, 55246, 68380, 50821, 51926, 52877, 67283, 50821, 54291, 50806, 53827, 50806, 53827, 50806, 51690, 50821, 51201, 50806, 53304, 50806, 64013, 57419, 54269, 50821, 51284, 53247, 60312, 50821, 55233, 50806, 53011, 50806, 53011, 50806, 51733, 50821, 68027, 53304, 50806, 75885, 55967, 67283, 50821, 51690, 53153, 55233, 50806, 55725, 51160, 54296, 50980, 54296, 50980, 68027, 51384, 51160, 54364, 50980, 50755, 50302, 57175, 55553, 50806, 51088, 56277, 63913, 50821, 51905, 50821, 50799, 55233, 50980, 63913, 50980, 53941, 50980, 53941, 50980, 51113, 50980, 51905, 50980, 54388, 50980, 50755, 50301, 56925, 55233, 50806, 51113, 52322, 54291, 50821, 51201, 56050, 53546, 50821, 51266, 53247, 54269, 50821, 51284, 54787, 53208, 50821, 51182, 53153, 58989, 50821, 51394, 55982, 54269, 50821, 51284, 52935, 55725, 50821, 51384, 54863, 63913, 50821, 51905, 50821, 50799, 53587, 50921, 67283, 51160, 54807, 50806, 54807, 50806, 51093, 50921, 51690, 51160, 53304, 50806, 77273, 52774, 53587, 50921, 54807, 50806, 54807, 50806, 51093, 50921, 53304, 50806, 77273, 54901, 54269, 50821, 51284, 52422, 54269, 50821, 53587, 50921, 54807, 50806, 54807, 50806, 51284, 68896, 50921, 53485, 50806, 77273, 57200, 53208, 50821, 51182, 52686, 53587, 50880, 55725, 80227, 50806, 54807, 50806, 71315, 51384, 50821, 53159, 50806, 77273, 55246, 55540, 50821, 51304, 52877, 57101, 50921, 67283, 51160, 53879, 50806, 53879, 50806, 51165, 50921, 51690, 51160, 53554, 50806, 50755, 50294, 52692, 57101, 50921, 53879, 50806, 53879, 50806, 51165, 50921, 53554, 50806, 50755, 50294, 55967, 58989, 50821, 51394, 53153, 58989, 50821, 53587, 50921, 54807, 50806, 54807, 50806, 51394, 68896, 50921, 53554, 50806, 77273, 59908, 54269, 50821, 51284, 52935, 53587, 50880, 55725, 80227, 50806, 54807, 50806, 71315, 51384, 50821, 53554, 50806, 77273, 56277, 55540, 50821, 51304, 50821, 50799, 53081, 50806, 67283, 51160, 54296, 50806, 54296, 50806, 51107, 50806, 51690, 51160, 53554, 50806, 50755, 50302, 52774, 53081, 50806, 54296, 50806, 54296, 50806, 51107, 50806, 53554, 50806, 50755, 50302, 54901, 55725, 50821, 51384, 52422, 55725, 50821, 55233, 50806, 53941, 50806, 53941, 50806, 51384, 50821, 68027, 53554, 50806, 50755, 50301, 57200, 55540, 50821, 51304, 52686, 67283, 50821, 53587, 50806, 53941, 50806, 53941, 50806, 51690, 68896, 50806, 53554, 50806, 50755, 50301, 55246, 54291, 50821, 51201, 52877, 54291, 50821, 57101, 50806, 53155, 50806, 53155, 50806, 51201, 50821, 51165, 50806, 53159, 50806, 50755, 50299, 57419, 53546, 50821, 51266, 53247, 53155, 50806, 53155, 50806, 50755, 50299, 55967, 53546, 50821, 58989, 50821, 51266, 50821, 51394, 50821, 55253, 53153, 54291, 51160, 54269, 51160, 53448, 50806, 53448, 50806, 51201, 51160, 51284, 51160, 53485, 50806, 67471, 52931, 53448, 50806, 53448, 50806, 53485, 50806, 67471, 56277, 53546, 50821, 53208, 50821, 51266, 50821, 51182, 50821, 50799, 53546, 50980, 53208, 50980, 53011, 50980, 53011, 50980, 51266, 50980, 51182, 50980, 53485, 50980, 75885, 56925, 53587, 50806, 51093, 52322, 53081, 50821, 51107, 56050, 53587, 68896, 53247, 54291, 50821, 51201, 54787, 53546, 50821, 51266, 53153, 53208, 50821, 51182, 55982, 54291, 50821, 51201, 52935, 55725, 50821, 54291, 50806, 53941, 50806, 53941, 50806, 51384, 50821, 51201, 50806, 53554, 50806, 50755, 50301, 56277, 55540, 50821, 51304, 50821, 50799, 59829, 50821, 57101, 50806, 54296, 50806, 54296, 50806, 51395, 50821, 51165, 50806, 53554, 50806, 50755, 50302, 58718, 53081, 50821, 51107, 53113, 55725, 50821, 57101, 50806, 54296, 50806, 54296, 50806, 51384, 50821, 51165, 50806, 53554, 50806, 50755, 50302, 54901, 55540, 50821, 51304, 52422, 53208, 50821, 55553, 50806, 55323, 50806, 55323, 50806, 51182, 74567, 50806, 54364, 50806, 50755, 50303, 57200, 54291, 50821, 51201, 52686, 55725, 50821, 55553, 50806, 55323, 50806, 55323, 50806, 51384, 74567, 50806, 54364, 50806, 50755, 50303, 55246, 55540, 50821, 51304, 52877, 54291, 50821, 55553, 50806, 53011, 50806, 53011, 50806, 51201, 74567, 50806, 53159, 50806, 75885, 57419, 53546, 50821, 51266, 53247, 55725, 50821, 55553, 50806, 53011, 50806, 53011, 50806, 51384, 74567, 50806, 54388, 50806, 75885, 55967, 55540, 50821, 51304, 53153, 53208, 50821, 57101, 50806, 53827, 50806, 53827, 50806, 51182, 50821, 51165, 50806, 54364, 50806, 64013, 59908, 54291, 50821, 51201, 52935, 55725, 50821, 53081, 50806, 53827, 50806, 53827, 50806, 51384, 50821, 51107, 50806, 53554, 50806, 64013, 56277, 55540, 50821, 51304, 50821, 50799, 53587, 50806, 68380, 51160, 54850, 50806, 54850, 50806, 78251, 51926, 51160, 53159, 50806, 74935, 52774, 53587, 50806, 54850, 50806, 54850, 50806, 78251, 53159, 50806, 74935, 54901, 67283, 50821, 51690, 52422, 60312, 50880, 53587, 50806, 53011, 50806, 53011, 50806, 51733, 50880, 78251, 53159, 50806, 75885, 50806, 50428, 55725, 50880, 51384, 59965, 55540, 50880, 51304, 54053, 58989, 50880, 53546, 50806, 53011, 50806, 53011, 50806, 51394, 50880, 51266, 50806, 53485, 50806, 75885, 66454, 54269, 50880, 51284, 60958, 53208, 50880, 51182, 54459, 53081, 50806, 67283, 51160, 53827, 50806, 53827, 50806, 51107, 50806, 51690, 51160, 53304, 50806, 64013, 52692, 53587, 50806, 53941, 50806, 53941, 50806, 78251, 53304, 50806, 50755, 50301, 55967, 60312, 50821, 51733, 53153, 55725, 50880, 53081, 50806, 54296, 50806, 54296, 50806, 51384, 50880, 51107, 50806, 53554, 50806, 50755, 50302, 50806, 50452, 55540, 50880, 51304, 64526, 58989, 50880, 51394, 54647, 54269, 50880, 53546, 50806, 53011, 50806, 53011, 50806, 51284, 50880, 51266, 50806, 53485, 50806, 75885, 69810, 53208, 50880, 51182, 63958, 54291, 50880, 79638, 50799, 53081, 50806, 54291, 51160, 53827, 50806, 53827, 50806, 51107, 50806, 51201, 51160, 53304, 50806 ]

[ 0, 250, 15352, 30054, 8, 19448, 11057, 2214, 19, 3495, 16882, 6, 4246, 10, 13305, 483, 7513, 30, 21979, 9590, 6, 3459, 8, 21979, 29589, 6, 8, 10, 6755, 12547, 4, 20, 2125, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 230, 538, 4, 13231, 5, 2214, 6, 5, 33215, 16739, 9, 1918, 406, 6, 211, 119, 406, 6, 8, 272, 406, 35315, 5705, 6, 2351, 10, 32625, 5466, 1969, 13, 5, 2317, 191, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57530, 50796, 53202, 51148, 50902, 61711, 70673, 63285, 51476, 50907, 51231, 50907, 51249, 55875, 58782, 78777, 50947, 63906, 51049, 63605, 50876, 54112, 50902, 57990, 52841, 51273, 51148, 50876, 51417, 50804, 54803, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 67218, 78777, 50970, 63906, 55168, 75289, 53458, 51183, 50804, 58315, 50861, 53504, 57634, 50423, 78759, 50804, 58782, 51303, 51376, 51231, 51376, 51414, 51376, 51457, 51376, 73828, 51064, 63906, 51049, 50822, 52594, 52841, 51150, 51148, 52303, 51490, 51465, 51490, 51249, 51490, 51457, 51490, 79598, 52612, 52101, 60027, 50938, 74103, 51064, 63906, 55168, 50455, 50876, 64175, 50877, 51626, 50822, 53202, 76624, 59946, 50876, 61420, 51110, 50423, 51465, 50907, 51231, 50907, 51249, 50907, 51327, 55875, 58782, 74103, 50947, 63906, 51049, 66142, 57411, 51550, 50876, 57181, 51140, 56000, 50902, 57978, 52841, 51273, 51183, 50876, 51397, 79598, 52612, 67218, 51303, 51376, 51249, 51376, 51327, 51376, 51457, 51376, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51218, 52303, 51490, 51303, 51490, 51249, 51490, 51457, 51490, 50804, 58315, 61700, 50419, 50877, 71818, 50861, 51417, 50804, 58782, 73828, 51064, 63906, 51049, 66142, 54128, 51550, 50434, 51098, 50862, 52594, 52841, 51150, 51448, 50804, 54803, 51465, 52441, 51231, 52441, 51414, 52441, 51457, 52441, 50877, 63324, 54823, 74103, 51064, 50365, 51610, 54553, 55168, 50455, 50876, 61076, 51705, 50878, 59836, 75289, 53202, 51148, 50876, 54806, 50810, 50416, 50902, 51419, 53327, 58782, 51476, 51376, 51231, 51376, 51249, 51376, 78777, 50947, 63906, 51049, 63605, 62504, 50434, 50902, 50866, 52594, 52841, 51273, 51417, 50876, 51562, 50804, 54803, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 54823, 78777, 50970, 50365, 51610, 54553, 55168, 50458, 80218, 50941, 75289, 53458, 51115, 50861, 54172, 56624, 50877, 63867, 51303, 50907, 51231, 50907, 51414, 50907, 51457, 50907, 50861, 51446, 50804, 58782, 73828, 51064, 63906, 51049, 59909, 51668, 50942, 52594, 52841, 51150, 51183, 50804, 54803, 51465, 52441, 51231, 52441, 51414, 52441, 51457, 52441, 50804, 67218, 74103, 51064, 63906, 55168, 50451, 50861, 50938, 50455, 57956, 50459, 50899, 55588, 50822, 53202, 51148, 50804, 58315, 72302, 50423, 51410, 50907, 51303, 50907, 51249, 50907, 51327, 55875, 58782, 72540, 50947, 63906, 51049, 60092, 67559, 50431, 50861, 54112, 50877, 56873, 52841, 51273, 51148, 50804, 59615, 50871, 51127, 50447, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 54823, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51115, 50968, 54345, 58315, 50931, 67078, 51303, 52441, 51231, 52441, 51414, 52441, 51457, 52441, 50968, 53661, 71607, 73828, 51064, 63906, 51049, 60092, 50902, 78239, 51668, 68068, 50876, 53119, 52841, 51150, 51148, 50804, 59615, 61673, 50443, 50931, 55590, 50968, 60146, 50362, 58290, 55814, 51465, 51376, 51231, 51376, 51414, 51376, 51457, 53535, 50318, 50845, 74103, 51064, 50365, 51610, 54553, 51049, 71453, 72740, 50876, 50855, 75289, 53202, 51148, 52326, 51490, 51476, 51490, 51303, 51490, 51231, 51490, 50876, 56873, 70673, 51252, 50417, 50902, 51241, 53327, 58782, 78777, 50947, 63906, 51049, 63605, 50876, 55098, 50902, 54732, 52841, 51273, 51448, 50804, 59615, 73891, 52612, 54823, 51303, 51376, 51249, 51376, 51327, 51376, 51457, 51376, 78777, 50970, 63906, 55168, 50458, 51522, 50878, 75289, 53458, 51183, 50804, 58315, 50861, 60685, 50877, 75827, 72683, 50804, 58782, 51303, 51376, 51231, 51376, 51414, 51376, 51457, 51376, 73828, 51064, 63906, 51049, 50822, 52594, 52841, 51150, 51183, 50804, 54803, 51465, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 52101, 60027, 50897, 74103, 51064, 63906, 55168, 50455, 50876, 66376, 50877, 58224, 50822, 53202, 51148, 50804, 59946, 50876, 56076, 51465, 50907, 51231, 50907, 51249, 50907, 51327, 50907, 50902, 64390, 71607, 74103, 50947, 63906, 51049, 66142, 50876, 57181, 50902, 50866, 52594, 52841, 51273, 51148, 50804, 59615, 50876, 51448, 50447, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 67218, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51448, 50804, 58315, 65150, 50418, 50877, 66700, 78759, 50804, 58782, 51303, 51376, 51231, 51376, 51414, 51376, 51457, 51376, 73828, 51064, 63906, 51049, 59909, 51868, 50878, 52594, 52841, 51150, 51183, 50804, 54803, 51465, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 54823, 74103, 51064, 50365, 51610, 54553, 55168, 50451, 71091, 50455, 50876, 64175, 50877, 58224, 50822, 53202, 51148, 50804, 59946, 50876, 56076, 51476, 52441, 51231, 52441, 51249, 52441, 50902, 64390, 71607, 78777, 50947, 63906, 51049, 66142, 60215, 50434, 50902, 50978, 52594, 52841, 51273, 51183, 50804, 59615, 50876, 51562, 50447, 51303, 52441, 51249, 52441, 51327, 52441, 51457, 52441, 50804, 67218, 78777, 50970, 50365, 51610, 54553, 55168, 75289, 53458, 51417, 50804, 58315, 58893, 50416, 50877, 50987, 64309, 51183, 50423, 51303, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 58782, 73828, 51064, 63906, 51049, 59909, 54128, 50941, 52594, 52841, 51150, 51448, 50804, 54803, 51465, 50907, 51231, 50907, 51414, 50907, 51457, 55875, 67218, 74103, 51064, 63906, 55168, 50451, 59285, 50455, 50871, 63181, 51705, 50878, 50899, 50854, 75289, 53202, 51148, 50804, 58315, 50871, 51124, 50423, 51410, 52441, 51303, 52441, 51249, 52441, 51327, 52441, 50804, 58782, 72540, 50947, 63906, 51049, 60092, 62676, 50431, 50861, 55098, 50877, 54172, 52841, 51261, 51148, 50804, 59615, 50871, 51377, 50447, 51410, 52441, 51303, 52441, 51414, 52441, 50804, 67218, 72540, 51064, 63906, 55168, 73867, 50849, 50455, 50861, 56054, 50877, 54172, 50822, 53202, 51183, 50804, 58315, 50871, 51518, 50423, 51410, 50907, 51303, 50907, 51249, 50907, 51327, 55875, 52101, 65404, 50851, 50947, 63906, 51049, 50822, 52594, 52841, 51273, 51448, 52326, 52212, 51410, 52147, 51457, 51314, 50804, 59615, 51476, 51447, 50440, 51303, 56458, 50447, 51249, 51542, 50804, 50362, 58290, 55814, 78777, 50970, 50365, 51610, 53119, 51049, 64817, 72740, 51522, 50878, 50871, 50836, 75289, 53458, 51191, 52303, 51490, 51303, 51490, 51249, 51490, 51457, 51490, 52036, 52440, 51863, 52440, 50804, 58315, 50861, 57572, 50861, 57370, 71607, 51261, 51056, 73828, 51064, 63906, 51049, 63605, 50861, 54350, 50861, 54742, 52841, 51150, 51177, 52303, 51314, 51410, 51314, 51465, 51314, 51249, 51314, 52225, 52440, 51863, 52440, 50804, 59615, 50861, 75097, 51150, 53668, 50877, 64392, 67218, 51493, 50981, 74103, 51064, 50365, 51610, 53832, 55168, 50455, 50871, 58223, 50861, 53119, 50822, 53202, 51056, 52326, 51314, 51476, 51314, 51465, 51314, 51231, 51314, 52225, 52440, 51656, 52440, 50804, 58315, 50877, 78768, 50877, 51518, 50804, 71607, 52318, 50915, 74103, 50947, 63906, 51049, 50822, 52594, 52841, 51273, 51191, 52326, 52440, 51476, 51447, 51410, 52440, 51303, 53055, 51327, 51337, 51825, 51481, 51711, 52440, 51743, 52440, 50804, 54803, 51249, 51679, 51457, 51679, 50804, 67218, 51140, 51056, 78777, 50970, 50365, 51610, 53832, 51049, 54678, 50871, 53887, 50822, 53458, 50889, 52303, 51314, 51410, 51314, 51303, 51314, 51231, 51314, 52036, 52440, 51863, 52440, 50804, 58315, 74367, 53327, 71607, 74808, 73828, 51064 ]

[ 0, 250, 15352, 30054, 8, 20425, 3152, 2214, 19, 5175, 4785, 6, 4246, 81, 9756, 8, 30587, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 18558, 18046, 4, 8504, 11, 83, 3694, 19, 10, 1769, 20889, 6, 5, 2125, 25935, 1626, 227, 230, 8, 211, 40286, 6, 2351, 41, 9066, 8, 2829, 2933, 5466, 1328, 63, 13428, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50415, 50635, 50796, 50439, 51011, 51056, 51701, 51790, 52295, 51790, 53051, 51790, 55697, 51790, 50775, 50321, 52062, 50734, 50337, 50845, 50442, 50734, 50332, 69265, 50734, 50330, 50845, 50448, 69258, 71364, 51011, 70229, 54726, 50870, 79048, 70172, 71409, 71248, 76569, 50845, 50460, 50734, 50308, 50845, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51288, 51391, 62686, 62128, 50870, 50734, 50301, 50915, 50421, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51219, 51337, 50816, 54726, 59118, 51288, 50987, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 51288, 51412, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51219, 51380, 50451, 51263, 50892, 51386, 50938, 51288, 51058, 58073, 54382, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51288, 51391, 51601, 62686, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 51219, 50905, 51587, 59619, 51069, 50937, 51580, 51109, 51288, 51233, 50816, 54726, 59118, 51069, 50987, 51200, 50866, 72218, 51219, 51058, 50439, 51069, 50937, 51580, 50943, 51200, 50943, 51219, 51277, 58073, 53971, 53333, 58586, 60795, 58073, 60822, 51069, 50987, 51296, 50873, 51288, 51363, 50451, 50964, 50937, 51200, 51121, 51580, 50943, 55281, 58073, 54382, 54726, 60202, 58073, 57077, 50927, 50987, 51347, 50873, 51386, 50849, 51288, 50974, 58073, 50829, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51288, 50981, 62686, 59109, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51219, 51242, 50816, 54726, 59118, 51288, 50978, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 51288, 51337, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51219, 51423, 50451, 51263, 50892, 51386, 50938, 51288, 63658, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51288, 51363, 51601, 51219, 50932, 58073, 53790, 53333, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 51288, 50978, 58073, 58064, 59825, 58073, 58815, 51069, 50937, 51580, 51109, 51288, 51412, 50816, 54726, 60286, 58073, 57160, 51069, 50987, 51200, 50866, 51323, 51353, 72218, 51219, 50974, 58073, 56866, 51069, 50937, 51580, 50943, 51200, 50943, 51288, 50978, 58073, 53971, 53333, 58586, 60479, 51069, 50987, 51296, 50873, 51288, 51233, 58073, 59528, 50964, 50937, 51200, 51121, 51580, 50943, 55281, 51219, 51423, 50816, 54726, 58908, 50927, 50987, 51347, 50873, 51386, 50849, 51288, 50978, 58073, 59652, 58073, 50841, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51288, 51480, 62686, 59109, 51219, 51277, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51288, 67041, 54726, 59118, 51288, 51233, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 51219, 51423, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51288, 50978, 50451, 51263, 50892, 51386, 50938, 51288, 50905, 58073, 54382, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51219, 50995, 51601, 58073, 53971, 53333, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 51288, 51212, 58073, 61682, 59825, 58073, 58815, 51069, 50937, 51580, 51109, 51219, 51480, 50816, 54726, 60286, 58073, 57160, 51069, 50987, 51200, 50866, 72218, 58073, 56866, 51069, 50937, 51580, 50943, 51200, 50943, 51288, 51233, 58073, 53971, 53333, 58586, 60479, 51069, 50987, 51296, 50873, 51219, 51337, 58073, 59528, 50964, 50937, 51200, 51121, 51580, 50943, 55281, 51288, 66610, 54726, 58908, 50927, 50987, 51347, 50873, 51386, 50849, 51288, 51411, 58073, 59652, 58073, 50841, 51601, 51019, 51056, 51200, 51159, 51404, 51159, 51278, 51048, 51219, 50995, 62686, 59109, 51587, 59619, 51019, 51056, 51200, 51267, 51404, 51159, 60993, 51288, 51233, 50816, 54726, 59118, 51323, 53241, 51219, 51253, 50439, 50927, 50937, 51200, 51255, 51155, 51048, 62686, 58586, 60479, 50964, 51056, 51188, 51178, 51288, 51337, 50451, 51263, 50892, 51386, 50938, 51219, 51423, 50816, 54726, 58908, 51069, 51056, 51580, 51003, 51347, 50914, 51296, 50918, 51288, 51233, 51601, 51219, 51775, 58073, 53971, 53333, 59109, 51069, 50987, 51580, 50977, 51200, 51400, 58073, 61682, 59825, 58073, 58815, 51069, 50937, 51580, 51109, 51288, 51233, 50816, 54726, 60286, 58073, 57160, 51069, 50987, 51200, 50866, 72218, 51219, 51253, 58073, 61682, 64481, 51069, 50937, 51580, 50943, 51200, 50943, 58073, 53971, 53333, 58586, 60479, 51069, 50987, 51296, 50873, 51288, 51312, 58073, 55164, 60068, 50964, 50937, 51200, 51121, 51580, 50943, 53043, 50795, 55281, 51219, 59140, 54726, 58908, 50927, 50987, 51347, 50873, 54843, 50879, 51386, 50849, 51288, 50892, 55709, 50870, 51601, 51019, 51267, 51580, 51267, 51200, 51159, 51404, 51806, 63548, 50940, 51278, 51157, 52455, 65617, 60776, 63548, 76909, 50365, 51459, 61033, 51019, 51267, 51580, 51159, 51200, 51109, 51404, 51159, 51278, 59451, 51467, 58803, 59526, 50439, 50927, 50977, 51200, 51203, 56361, 51013, 51155, 51157, 52455, 62827, 59002, 50964, 51267, 51409, 50901, 51188, 54042, 51004, 50451, 51263, 50905, 54843, 50795, 51386, 58162, 51467, 59044, 51069, 51267, 51767, 51253, 51580, 51109, 51347, 51267, 56361, 50879, 51296, 51157, 59526, 51601, 54843, 51650, 51179, 60916, 51069, 50978, 51580, 51058, 51200, 51058, 51571, 50972, 53043, 51294, 51296, 57837, 50365, 51459, 61033, 51069, 50977, 51571, 51380, 51580, 51109, 51200, 51109, 51296, 51157, 72016, 58803, 51069, 56835, 51129, 50439, 51069, 50977, 51571, 51097, 51580, 50981, 51200, 50981, 51296, 51157, 52455, 62827, 59002, 51069, 56835, 51129, 50451, 50964, 50977, 51571, 51212, 51200, 51177, 51580, 51003, 53043, 50849, 51296, 54792, 51467, 59044, 50927, 50978, 51767, 50901, 51347, 50901, 53043, 50795, 51386, 56895, 50891, 51601, 51019, 51267, 51580, 51267, 51200, 51159, 51404, 51806, 63548, 50952, 51278, 51157, 52455, 60916, 63548, 71109, 50365, 51459, 61033, 51019, 51267, 51580, 51159, 51200, 51109, 51404, 51159, 51278, 59451, 51467, 58803, 59526, 50439, 50927, 50977, 51200, 51203, 56361, 50879, 51155, 51157, 52455, 62827, 59002, 50964, 51267, 51409, 50901, 51188, 50901, 54843, 51048, 59526, 50451, 51263, 50905, 51386, 58162, 51467, 59044, 51069, 51267, 51767, 51253, 51580, 51109, 51347, 51267, 53043, 51291, 51296, 51157, 59526, 51601, 52455, 60916, 51069, 50978, 51580, 51058, 51200, 51058, 51571, 50972, 51288, 50967, 51296, 57837, 50365, 51459, 61033, 51069, 50977, 51571, 51380, 51580, 51109, 51200, 51109, 51296, 51157, 72016, 58803, 51069, 50978, 51219, 52938, 50364, 51459, 62889, 51069, 50977, 51571, 51097, 51580, 50981, 51200, 50981, 51288, 51364, 51296, 51157, 52455, 62827, 59002, 51069, 56835, 51129, 50451, 50964, 50977, 51571, 51212, 51200, 51177, 51580, 51003, 53043, 50795, 51296, 54792, 54563, 62662, 50927, 50978, 51767, 50901, 51347, 50901, 54843, 50879, 51386, 50873, 51601, 51019, 51267, 51580, 51267, 51200, 51159, 51404, 51806, 63548, 50940, 51278, 51157, 52455, 60916, 63548, 76909, 50365, 51459, 61033, 51019, 51267, 51580, 51159, 51200, 51109, 51404, 51159, 51278, 59451, 51467, 58803, 59526, 50439, 50927, 50977, 51200, 51203, 56361, 51013, 51155, 51157, 52455, 62827, 59002, 50964, 51267, 51409, 50901, 51188, 54042, 51004, 50451, 51263, 50905, 54843, 50795, 51386, 58162, 51467, 59044, 51069, 51267, 51767, 51253, 51580, 51109, 51347, 51267, 56361, 50879 ]

[ 0, 250, 32625, 15855, 2125, 702, 15, 41, 21979, 8669, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 2877, 4, 20, 33301, 16, 3820, 19, 657, 8, 7125, 6, 25, 5, 40286, 211, 8, 83, 7230, 1328, 5, 15229, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 80054, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 71821, 51078, 52483, 63755, 52012, 50889, 51574, 55112, 74987, 50998, 52446, 51444, 50805, 52028, 50805, 71821, 71821, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 51076, 52446, 72429, 66309, 51444, 55480, 51131, 50805, 69604, 51034, 63755, 71888, 51311, 55385, 50998, 52483, 50960, 52605, 50986, 52446, 51311, 52815, 51131, 50805, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 71821, 51078, 52483, 63755, 52012, 50889, 51574, 55112, 74987, 50998, 52446, 51444, 50805, 52028, 50805, 71821, 71821, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 51076, 52446, 72429, 66309, 51444, 55480, 51131, 50805, 69604, 51034, 63755, 71888, 51311, 55385, 71821, 51076, 52483, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 51207, 50805, 51311, 50805, 63755, 51034, 66309, 51444, 50889, 52028, 55385, 51169, 52483, 66309, 51444, 50889, 52028, 55112, 51078, 52446, 67669, 51444, 50889, 52028, 55480, 71821, 76004, 50805, 52012, 50889, 51317, 55385, 52028, 52483, 51207, 50805, 52012, 50889, 51317, 55112, 51574, 52446, 51444, 50805, 52012, 50889, 50929, 55480, 53805, 50805, 51034, 69604, 51444, 50889, 51444, 55385, 69604, 51067, 52483, 66309, 51316, 50805, 51207, 55112, 63755, 51076, 52446, 69604, 66309, 51207, 55480, 67669, 63755, 51034, 69604, 74175, 51131, 64739, 69604, 50947, 52483, 67669, 50929, 52605, 71821, 51078, 52446, 52012, 50805, 74987, 67669, 51034, 66309, 51444, 50889, 52028, 55385, 51169, 52483, 66309, 51444, 50889, 52028, 55112, 51078, 52446, 67669, 51444, 50889, 52028, 55480, 71821, 76004, 50805, 52012, 50889, 51317, 55385, 52028, 52483, 51207, 50805, 52012, 50889, 51317, 55112, 51574, 52446, 51444, 50805, 52012, 50889, 50929, 55480, 53805, 50805, 64857, 50805, 69604, 51444, 55385, 52028, 50805, 51067, 52483, 51131, 50805, 66309, 51444, 55112, 71821, 51078, 52446, 67669, 63755, 52012, 50889, 51131, 55480, 74987, 67669, 51034, 71821, 71821, 51444, 55385, 51131, 50805, 51078, 52483, 52028, 50805, 71821, 51444, 55112, 51131, 50805, 50960, 52446, 51444, 50805, 52028, 50805, 71821, 80056, 50805, 52012, 50889, 53805, 55385, 51846, 52483, 51131, 50805, 52012, 50889, 53805, 55112, 51317, 52446, 67669, 52012, 50889, 53805, 55480, 63755, 64857, 50805, 51444, 50889, 51078, 55385, 53805, 52483, 51444, 50805, 51444, 50889, 51078, 55112, 52028, 52446, 51131, 50805, 51444, 50889, 51078, 55480, 71821, 51034, 67669, 63755, 52012, 55385, 51136, 50805, 51078, 52483, 67669, 63755, 52012, 55112, 74987, 50998, 52446, 51136, 50805, 69604, 52012, 55480, 51131, 50805, 71821, 51034, 74987, 52012, 50889, 50998, 55385, 51311, 52483, 51131, 52605, 51207, 52446, 52028, 52815, 51574, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 51169, 52483, 66309, 51444, 50889, 52028, 55112, 51078, 52446, 67669, 51444, 50889, 52028, 55480, 71821, 76004, 50805, 52012, 50889, 51317, 55385, 52028, 52483, 51207, 50805, 52012, 50889, 51317, 55112, 51574, 52446, 51444, 50805, 52012, 50889, 50929, 55480, 53805, 50805, 64857, 50805, 69604, 51444, 55385, 52028, 50805, 51067, 52483, 51131, 50805, 66309, 51444, 55112, 71821, 51078, 52446, 67669, 63755, 52012, 50889, 51131, 55480, 74987, 67669, 64857, 50889, 51444, 55385, 71821, 50960, 52483, 74987, 50998, 52605, 72429, 51078, 52446, 51311, 50805, 50929, 52815, 51131, 50805, 66309, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 66309, 51444, 50889, 52028, 55385, 71821, 51078, 52483, 63755, 52012, 50889, 51574, 55112, 74987, 50998, 52446, 69604, 51444, 50889, 52028, 50889, 50960, 55480, 71821, 51034, 51076, 50805, 71888, 51207, 55385, 51076, 50808, 50960, 57572, 50947, 53450, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 63755, 71888, 51311, 55480, 71821, 51076, 50805, 51034, 51067, 50805, 51444, 50889, 51131, 55385, 71821, 51032, 52483, 66309, 51444, 50889, 52028, 55112, 71821, 50960, 52446, 74987, 67669, 51444, 55480, 72429, 69604, 51034, 63755, 71888, 51311, 55385, 74658, 50960, 57572, 51078, 53450, 63755, 71888, 51311, 55112, 71821, 51076, 52446, 72429, 66309, 51444, 55480, 51131, 50805, 69604, 51034, 63755, 71888, 51311, 55385, 71821, 51076, 52483, 63755, 71888, 51311, 55112, 71821, 50929, 52446, 51207, 50805, 51311, 50805, 63755, 51034, 51725, 51141, 51574, 51141, 51207, 51141, 50986, 51141, 50986, 51141, 50998, 51141, 50929, 51141, 51032, 70303, 51207, 50805, 50929, 52446, 51444, 50805, 50998, 52815, 51207, 50805, 63755, 51034, 50986, 67729, 51725, 50805, 51574, 52483, 51574, 50805, 51207, 55112, 51207, 50805, 50986, 52446, 72429, 50998, 52815, 67669, 63755, 51034, 67669, 63755, 51207, 51538, 57761, 50805, 50970, 52483, 74987, 50998, 52605, 71821, 50970, 52446, 51311, 50805, 50960, 52815, 71821, 67830, 51034, 72429, 67669, 51725, 51623, 57761, 50805, 50970, 52483, 67669, 50929, 52605, 67830, 50947, 52446, 67669, 63755, 51034, 51032, 51141, 51725, 51141, 51574, 51141, 51207, 51141, 50986, 51141, 50986, 51141, 50998 ]