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, 19448, 8, 1372, 15855, 2125, 19, 3495, 16882, 6, 4246, 41, 21979, 8669, 816, 11, 5, 762, 9, 381, 538, 4, 20, 2214, 16, 278, 11, 41, 18186, 112, 73, 398, 86, 6543, 8, 3136, 23, 41, 12447, 1001, 20889, 4, 13231, 42, 765, 15229, 6, 5, 40286, 3676, 6, 163, 6, 3676, 6, 8, 1918, 401, 32, 702, 6, 2351, 10, 5679, 26709, 8, 11653, 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 ]	[ 54458, 50998, 55126, 50631, 80254, 50947, 55035, 75924, 63880, 51169, 54100, 63896, 60419, 50947, 55306, 51846, 50892, 72809, 51076, 55945, 78986, 60419, 51032, 55125, 51574, 50892, 63880, 51076, 54771, 52012, 50995, 66192, 77458, 51057, 51292, 55689, 60419, 51169, 50845, 51292, 53172, 51078, 50901, 77458, 51549, 54342, 51169, 50901, 51076, 50974, 51067, 50974, 51057, 61498, 51032, 58879, 51574, 51097, 51169, 50905, 51076, 54335, 51292, 54777, 50998, 51097, 51057, 51438, 55689, 51169, 50901, 51076, 51003, 51438, 58299, 50960, 55544, 63960, 51169, 50995, 51067, 50995, 51057, 51311, 55126, 59655, 50998, 51003, 51292, 58299, 52012, 55544, 51725, 50981, 50986, 61793, 50838, 51057, 50998, 55126, 51444, 50981, 62151, 50970, 53172, 51076, 54259, 62302, 50986, 62874, 50892, 51057, 51311, 50905, 51169, 55126, 50631, 52012, 50981, 63896, 50947, 55035, 72429, 67669, 66309, 51032, 50805, 51292, 50805, 53729, 50805, 52323, 50631, 50998, 58187, 50631, 72312, 50947, 56389, 51311, 50995, 70642, 51169, 50995, 51057, 59655, 60419, 50947, 57437, 51846, 50905, 62151, 51076, 53172, 72878, 68533, 51032, 53308, 51574, 50892, 63880, 69239, 51057, 52012, 51097, 50986, 62874, 55041, 51292, 53890, 63386, 71886, 51292, 54100, 72700, 50947, 50892, 51549, 50892, 51057, 51169, 50901, 69239, 51067, 55041, 61498, 51032, 56307, 51574, 50995, 51169, 50905, 51076, 54342, 51292, 50873, 51057, 50998, 73318, 51438, 53890, 51169, 50873, 51076, 51003, 51438, 60307, 65813, 51057, 60918, 51169, 50995, 51067, 60726, 51311, 54335, 59655, 50998, 51003, 51292, 60307, 52012, 50838, 51057, 51725, 50915, 50986, 61793, 54177, 50998, 56307, 51444, 50981, 62151, 50970, 53387, 51076, 50849, 51057, 62302, 66192, 50947, 55126, 75924, 51169, 53770, 50631, 52012, 51097, 59655, 50947, 53387, 56422, 61337, 57304, 60502, 70858, 53729, 50795, 52076, 50426, 50631, 51207, 57937, 50631, 51725, 51097, 50986, 51183, 50998, 51183, 51057, 51444, 54644, 51574, 50845, 65868, 50998, 55382, 51504, 54100, 51207, 50845, 51311, 50915, 64226, 51057, 52028, 55041, 51207, 50845, 75924, 50960, 53770, 51131, 54100, 51311, 50845, 63557, 63434, 51057, 59655, 72700, 50947, 54644, 63880, 50970, 50943, 51076, 57908, 51207, 54342, 59655, 60419, 67672, 51057, 51207, 50845, 51067, 55689, 76338, 50998, 51003, 51292, 53172, 50947, 53052, 51317, 50905, 67519, 76702, 51057, 51317, 50892, 50998, 62874, 55041, 51317, 50892, 68242, 51064, 53770, 51317, 50845, 66286, 50947, 54342, 63880, 63960, 58993, 71937, 51057, 51317, 50892, 65738, 51292, 57437, 74175, 69160, 51438, 60307, 51136, 50905, 78465, 65742, 51057, 51136, 50845, 72700, 50947, 55126, 51136, 50905, 78465, 51076, 53172, 51136, 50892, 51078, 62874, 54342, 51574, 51148, 67519, 51169, 50905, 51057, 50998, 55041, 50998, 53770, 50998, 54100, 59655, 66906, 51057, 51311, 50901, 72809, 51169, 55126, 59655, 60419, 50947, 55035, 51846, 50905, 72809, 51076, 54777, 78986, 66286, 60265, 51057, 51574, 50905, 63557, 51076, 58879, 52012, 50995, 80254, 50947, 56307, 51292, 53308, 68533, 51169, 50905, 51292, 50905, 51057, 51078, 50873, 50947, 50892, 51549, 55041, 51169, 50845, 69239, 51067, 53770, 66906, 51032, 54342, 51574, 51097, 51169, 50905, 51076, 50905, 51057, 51292, 55099, 50998, 60324, 51438, 54777, 51169, 50901, 51076, 50915, 51438, 50915, 51057, 50960, 55041, 63960, 51169, 50995, 51067, 58187, 51311, 54100, 63896, 69164, 51292, 50915, 51057, 52012, 54177, 51725, 50981, 80254, 50947, 56307, 50998, 54342, 51444, 50915, 63880, 50970, 50892, 51057, 51076, 55689, 62302, 59655, 50947, 53172, 75924, 51169, 54100, 50631, 52012, 50995, 59655, 61498, 52552, 51788, 55099, 50631, 67519, 77669, 52012, 50892, 51317, 50943, 50947, 60413, 53092, 55035, 53805, 50845, 74328, 50947, 57173, 51444, 50845, 51057, 51574, 50901, 51311, 50981, 51169, 60115, 52028, 55035, 51846, 53387, 51574, 50905, 51057, 51131, 51003, 51317, 50974, 50947, 58879, 51316, 53172, 51444, 51097, 59638, 51078, 53052, 70443, 51057, 62302, 51317, 50974, 50947, 58879, 50998, 54335, 62302, 51311, 51003, 51169, 51003, 51057, 51504, 50845, 51169, 54644, 51311, 50901, 50960, 56307, 52028, 62874, 54259, 51317, 50901, 74893, 51057, 51846, 50892, 51076, 57437, 64629, 50998, 56307, 78986, 51316, 51736, 51317, 50845, 68242, 51057, 51311, 50914, 70699, 51169, 50914, 51067, 52864, 51292, 53172, 51317, 51003, 50998, 51003, 50947, 51003, 51316, 54342, 51292, 50873, 52323, 50631, 51574, 51662, 50998, 50932, 51169, 50932, 51076, 54869, 50998, 56656, 70700, 77669, 52012, 50905, 51317, 50943, 50947, 60413, 53092, 53172, 53805, 50901, 51317, 51003, 50947, 60307, 51444, 50901, 51057, 51574, 50901, 51311, 50995, 51169, 60726, 52028, 53172, 51846, 53387, 51574, 50892, 51057, 61447, 51317, 61793, 54177, 51316, 55035, 51444, 50995, 59638, 51078, 53052, 70443, 51057, 62302, 51317, 50905, 50947, 55126, 50998, 54335, 51574, 50981, 51311, 51003, 51169, 51003, 51057, 51504, 50845, 51169, 55126, 51311, 50901, 50960, 56307, 52028, 62874, 54259, 51317, 50873, 74893, 51057, 51846, 50905, 51076, 55689, 72809, 50998, 53770, 69468, 51316, 52605, 51317, 50845, 67519, 51057, 51311, 50889, 74313, 51169, 50889, 51067, 52864, 51292, 53890, 51317, 51003, 50998, 51003, 50947, 51003, 51316, 55544, 51292, 50845, 77669, 51574, 51244, 74963, 51169, 50974, 51076, 58879, 50998, 54335, 50998, 53387, 66286, 51057, 51311, 50845, 50998, 55041, 62151, 51169, 53466, 51846, 50974, 51786, 52605, 64629, 67519, 51057, 51317, 50981, 51292, 52864, 50998, 54335, 51131, 51097, 50947, 54259, 51317, 50892, 68242, 51057, 51311, 50845, 51067, 57519, 67669, 51169, 52483, 51846, 51097, 51076, 54342, 67519, 51057, 78986, 51316, 55385, 51317, 50901, 50998, 55035, 52028, 50995, 51316, 53387, 51078, 50974, 50947, 50974, 51057, 51444, 51097, 51076, 51003, 57761, 50805, 51078, 52483, 51067, 51736, 53092, 50974, 63557, 51078, 50974, 51057, 62302, 50998, 51097, 64308, 53172, 51574, 50892, 51316, 51736, 51131, 50901, 51317, 50901, 77458, 51057, 51574, 50974, 51078, 55126, 51846, 50892, 63880, 50998, 53770, 51574, 50892, 51316, 53308, 51846, 50845, 63880, 69239, 51057, 52012, 51097, 51317, 50981, 50947, 58326, 71048, 51316, 50889, 51788, 50889, 51057, 51311, 50905, 74963, 57761, 50901, 51169, 55035, 51846, 50905, 51786, 51736, 62151, 67519, 51057, 51317, 50981, 51292, 52864, 50998, 52688, 61447, 50947, 53308, 51317, 50905, 67519, 51057, 51311, 50845, 51067, 53561, 67669, 51169, 52483, 51846, 50981, 51076, 54100, 67519, 51057, 78986, 51316, 57519, 51317, 50901, 50998, 55035, 52028, 50995, 51316, 54777, 78465, 77458, 51057, 51444, 51097, 51076, 50915, 57761, 50805, 51078, 52483, 51067, 52605, 53092, 50892, 63557, 51078, 50974, 51057, 62302, 50998, 60726, 51131, 53172, 51574, 50892, 51316, 51736, 74975, 51317, 50873, 77458, 51057, 51574, 50974, 51078, 58879, 51846, 50845, 63880, 50998, 53770, 51574, 50892, 51316, 53308, 51846, 50845, 63880, 69239, 51057, 52012, 50905, 51317, 51318, 50947, 51318, 64308, 55035, 51846, 53387, 51207, 50845, 51317, 62874, 50892, 51057, 52028, 50892, 72490, 51064, 57933, 51317, 53890, 51246, 50892, 51078, 51003, 51064, 60307, 52028, 50905, 51057, 53092, 50974, 50960, 51115, 51078, 51115, 51076, 71215, 51311, 53890, 51246, 54100, 78986, 51136, 50905, 51076, 50905, 51057, 51846 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 23338, 33518, 1264, 6, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 1769, 20889, 9, 17072, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 2351, 10, 32076, 8, 19448, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50791, 71523, 50817, 51570, 56877, 50852, 52568, 51150, 56214, 57916, 51261, 55417, 56995, 51098, 51594, 50817, 55970, 51745, 51544, 56987, 51560, 55276, 51098, 51237, 52320, 56995, 51098, 51014, 56451, 51029, 51544, 56987, 51150, 59646, 51930, 51379, 50446, 51150, 55230, 51522, 61751, 56995, 51216, 51010, 54204, 51090, 51544, 56987, 51216, 51045, 68958, 51237, 52320, 56995, 51261, 50823, 56020, 51261, 57078, 51522, 54589, 52676, 51098, 77225, 51140, 64532, 50817, 55970, 51745, 52562, 51566, 51246, 51016, 51136, 51116, 50929, 51116, 51064, 51427, 50426, 79196, 52527, 51331, 56987, 51560, 50860, 52562, 51014, 52280, 51059, 57280, 50824, 71108, 67325, 51064, 61094, 51246, 52848, 51136, 50859, 52387, 55188, 56995, 51098, 51033, 56451, 50824, 51846, 51653, 80254, 51136, 50901, 51169, 51365, 52861, 51138, 50422, 52387, 53537, 65425, 51136, 50855, 51169, 51187, 56987, 51522, 50803, 50986, 50940, 51136, 51045, 51169, 50823, 53037, 51009, 50446, 51098, 50823, 51846, 55268, 51522, 51505, 79509, 51136, 50859, 51169, 52304, 56995, 51216, 50823, 54204, 50824, 53271, 51932, 51246, 51043, 50960, 51233, 50970, 51309, 50422, 51504, 52450, 51846, 50808, 50960, 50882, 72639, 51760, 55115, 56987, 51261, 51033, 51846, 50890, 50960, 50930, 50970, 60364, 52157, 79867, 53271, 50840, 52280, 52116, 51246, 79722, 50840, 50970, 50859, 51756, 66363, 56995, 51560, 50860, 52280, 50950, 50799, 52562, 51235, 55458, 58026, 51560, 50893, 51246, 50854, 55458, 53537, 51389, 51388, 51317, 50837, 51136, 50864, 50929, 52304, 56987, 51136, 50858, 50929, 50962, 55458, 51029, 57385, 51066, 52562, 51175, 50446, 51246, 52741, 51261, 51354, 78254, 60907, 51064, 52304, 56995, 51246, 50862, 55970, 51745, 52562, 51745, 65904, 50929, 52688, 51136, 50930, 71706, 51064, 50811, 52527, 51331, 57834, 51930, 78116, 51560, 51138, 52280, 51059, 57280, 51237, 79196, 50446, 51246, 54988, 51136, 50859, 50929, 72920, 50930, 52387, 51739, 56995, 51098, 50859, 52861, 51059, 56451, 51237, 51846, 50923, 50422, 50986, 53935, 50986, 50940, 51136, 51045, 51169, 50950, 52387, 51739, 56987, 51522, 51045, 50986, 50924, 51136, 51045, 51169, 50950, 53037, 52827, 50438, 51846, 63674, 51522, 51138, 51846, 54721, 51098, 50976, 50986, 50925, 51136, 50859, 51169, 52304, 56995, 51522, 50894, 54204, 50823, 53271, 50803, 51246, 50940, 50960, 51014, 50970, 51014, 50422, 52280, 57480, 52280, 57036, 52676, 51760, 52175, 52527, 51331, 57916, 51261, 61963, 51140, 50854, 59670, 51745, 51850, 52038, 52527, 55968, 56987, 52157, 51138, 53271, 50811, 51846, 50859, 50960, 50890, 50970, 50887, 51760, 51735, 50446, 51461, 50860, 53271, 50950, 51846, 50890, 50960, 50882, 50970, 50962, 52280, 53798, 51273, 51388, 51756, 53960, 56995, 52280, 50823, 55970, 51745, 52746, 51742, 51561, 51452, 51099, 51742, 51308, 51422, 52562, 51566, 51246, 51016, 51136, 51116, 50929, 51116, 51064, 51427, 53422, 50422, 57451, 79196, 52527, 55964, 79894, 51560, 50860, 52562, 51014, 52280, 51059, 51320, 52896, 74249, 71108, 67325, 51064, 51420, 56877, 51561, 50844, 51246, 52972, 50898, 52763, 51144, 50887, 51308, 50859, 51136, 50859, 52387, 77297, 51636, 50458, 51098, 51033, 51320, 50837, 56451, 50824, 52477, 51790, 51280, 51803, 51561, 51591, 51512, 51077, 51846, 51653, 80254, 51136, 50901, 51169, 51365, 52861, 51138, 53422, 50422, 52387, 51805, 52670, 65425, 51136, 50855, 51169, 60369, 79894, 51522, 50803, 50986, 50940, 51136, 51045, 51169, 50823, 53037, 51009, 63423, 53422, 50446, 51098, 50823, 63884, 51561, 50859, 51512, 50800, 51846, 53579, 50898, 52763, 51522, 51505, 79509, 51136, 50859, 51169, 71074, 51636, 50458, 51216, 50823, 51320, 50837, 54204, 50824, 53038, 51452, 51706, 51452, 51198, 51452, 51144, 51790, 53271, 51932, 51246, 51043, 50960, 51233, 50970, 51309, 53422, 50422, 51504, 51582, 52670, 51846, 50808, 50960, 50882, 72639, 51760, 51029, 50903, 79894, 51261, 51033, 51846, 50890, 50960, 50930, 50970, 55719, 50898, 52896, 52157, 56168, 56877, 52477, 50795, 53271, 50840, 52280, 63579, 52763, 51198, 50808, 51246, 79722, 50840, 50970, 50859, 51756, 51505, 50903, 51636, 50458, 51560, 50860, 52280, 54168, 50898, 50837, 79921, 51157, 52562, 51235, 55458, 51520, 51636, 50422, 51560, 50893, 51561, 50836, 51099, 50809, 51308, 50887, 51246, 50854, 55458, 51805, 52670, 51389, 51388, 51317, 50837, 51136, 50864, 50929, 71074, 79894, 51561, 50910, 79091, 51308, 50859, 51136, 50858, 50929, 50962, 55458, 51029, 51842, 57385, 51066, 52562, 51175, 53422, 50446, 51144, 50887, 51308, 50859, 51246, 50808, 52387, 63579, 52763, 51261, 51354, 51144, 51215, 51512, 51238, 51308, 51345, 78254, 60907, 51064, 50887, 52280, 77297, 51636, 50458, 51246, 53630, 50898, 50837, 55970, 51745, 52746, 51161, 51561, 51692, 51099, 51692, 51308, 51422, 52562, 51745, 65904, 60384, 53422, 50422, 57451, 51136, 50930, 71706, 51064, 50811, 52527, 50802, 51992, 75994, 51636, 50430, 51930, 78116, 51560, 51138, 52280, 50823, 51850, 51059, 51320, 52896, 51098, 51237, 51136, 61098, 56877, 51246, 53235, 50898, 52763, 51136, 50859, 50929, 72920, 50930, 52527, 55964, 51636, 50458, 51098, 69446, 50837, 56451, 51237, 52477, 52015, 51561, 51452, 51512, 51623, 51153, 51742, 51846, 50923, 52527, 50976, 53422, 50422, 65425, 57451, 50986, 50940, 51136, 51045, 51169, 50950, 52527, 77297, 79894, 51522, 51045, 50986, 50924, 51136, 51045, 51169, 50950, 63423, 51846, 50887, 52527, 50860, 53422, 50446, 51522, 51138, 51846, 50859, 51756, 73475, 52763, 51098, 50976, 50986, 50925, 51136, 50859, 51169, 71074, 51636, 50458, 51522, 53056, 50898, 50837, 54204, 50976, 53038, 50952, 51198, 50805, 51144, 50879, 51308, 50879, 53271, 50803, 51246, 50940, 50960, 51014, 50970, 57642, 54831, 52630, 52157, 50802, 53038, 50924, 51198, 50865, 51144, 50924, 51308, 50924, 50960, 51030, 50970, 51021, 51064, 57036, 52676, 51850, 50975, 52943, 74961, 52527, 50962, 51992, 55230, 51760, 50823, 51850, 54589, 56995, 52527, 51407, 51992, 51407, 56020, 51930, 51858, 52630, 51389, 55188, 56987, 50852, 52676, 51150, 58834, 60178, 51842, 50446, 52527, 51156, 52568, 51261, 50802, 52527, 53236, 51916, 58686, 50798, 51916, 56995, 52527, 51520, 51636, 55970, 51745, 52562, 51566, 51246, 51016, 51136, 51116, 50929, 51116, 51064, 51427, 52527, 50860, 53422, 50422, 57451, 79196, 52527, 55964, 79894, 51560, 50860, 52562, 51014, 52280, 51059, 51320, 52896, 74249, 71108, 67325, 51064, 51420, 56877, 51246, 52972, 50898, 52763, 51136, 50859, 52387, 77297, 51636, 50458, 51098, 51033, 51320, 50837, 56451, 50824, 51846, 51653, 80254, 51136, 50901, 51169, 51365, 52861, 51138, 53422, 50422, 52387, 51805, 52670, 65425, 51136, 50855, 51169, 60369, 79894, 51522, 50803, 50986, 50940, 51136, 51045, 51169, 50823, 53037, 51009, 63423, 53422, 50446, 51098, 50823, 51846, 53579, 50898, 52763, 51522, 51505, 79509, 51136, 50859, 51169, 71074, 51636, 50458, 51216, 50823, 51320, 50837, 54204, 50824, 53271, 51932, 51246, 51043, 50960, 51233, 50970, 51309, 53422, 50422, 51504, 51582, 52670, 51846, 50808, 50960, 50882, 72639, 51760, 51029, 50903, 79894, 51261, 51033, 51846, 50890, 50960, 50930, 50970, 55719, 50898, 52896, 52157, 56168, 56877, 53271, 50840, 52280, 63579, 52763, 51246, 79722, 50840, 50970, 50859, 51756, 51505, 50903, 51636, 50458, 51560, 50860 ]
[ 0, 713, 20425, 3152, 2214, 16, 30291, 19, 5175, 4785, 6, 2351, 10, 13363, 28191, 11739, 9, 23409, 4, 590, 10, 182, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 28252, 9, 15352, 30054, 814, 6, 3185, 30, 5, 2247, 4069, 9, 30587, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 24, 1575, 10, 33215, 16739, 9, 272, 119, 1176, 406, 6, 230, 10431, 406, 73, 717, 10431, 6, 274, 10431, 6, 8, 1918, 1176, 406, 6, 1271, 7, 63, 9066, 8, 2933, 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 ]	[ 67004, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52476, 50579, 53987, 80110, 51205, 52476, 50579, 52643, 68298, 51069, 61775, 58565, 70114, 62556, 50799, 80110, 51205, 52764, 61373, 60770, 56605, 51611, 52734, 66994, 53184, 55542, 51386, 52450, 57687, 51778, 53847, 66994, 52559, 57687, 51778, 53263, 56605, 51611, 52599, 66994, 54134, 55542, 51386, 52711, 57687, 51778, 53668, 66994, 52741, 55542, 51386, 53987, 57687, 51778, 52643, 56605, 51611, 53848, 68298, 50799, 57687, 51778, 54275, 56605, 51611, 52734, 66994, 53184, 55542, 51386, 52450, 57687, 51778, 53847, 66994, 52559, 57687, 51778, 53263, 56605, 51611, 52599, 66994, 54134, 55542, 51386, 52711, 57687, 51778, 53668, 66994, 52741, 55542, 51386, 53987, 57687, 51778, 52643, 56605, 51611, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 56605, 56605, 51096, 52734, 68298, 51069, 52423, 58454, 53184, 70114, 50964, 52764, 52450, 80110, 51205, 52423, 58454, 53847, 68298, 51069, 52423, 52605, 80110, 51205, 53263, 56605, 56605, 51096, 52423, 52764, 58454, 52599, 68298, 51069, 52423, 55152, 60132, 70114, 50964, 52711, 80110, 51205, 52423, 52764, 53668, 68298, 51069, 52423, 58454, 52741, 70114, 50964, 52423, 79790, 61157, 80110, 51205, 52643, 56605, 56605, 51096, 52423, 55152, 58565, 68298, 66381, 50799, 80110, 51205, 52423, 79790, 60770, 56605, 56605, 51096, 52734, 68298, 51069, 52423, 58454, 53184, 70114, 50964, 52764, 52450, 80110, 51205, 52423, 58454, 53847, 68298, 51069, 52423, 52605, 80110, 51205, 53263, 56605, 56605, 51096, 52423, 52764, 58454, 52599, 68298, 51069, 52423, 55152, 60132, 70114, 50964, 52711, 80110, 51205, 52423, 52764, 53668, 68298, 51069, 52423, 58454, 52741, 70114, 50964, 52476, 50579, 53987, 80110, 51205, 52476, 50579, 52643, 56605, 56605, 51096, 61775, 58565, 68298, 66381, 50799, 80110, 51205, 52423, 61373, 60770, 56605, 56605, 51096, 52734, 68298, 51069, 53184, 70114, 50964, 52450, 80110, 51205, 53847, 68298, 51069, 52559, 80110, 51205, 53263, 56605, 56605, 51096, 52599, 68298, 51069, 54134, 70114, 50964, 52711, 80110, 51205, 53668, 68298, 51069, 52741, 70114, 50964, 53987, 80110, 51205, 52643, 56605, 56605, 51096, 53848 ]
[ 0, 4688, 5175, 19834, 15229, 11, 381, 3694, 6, 4246, 30587, 8669, 8, 38668, 2236, 6, 30853, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 20, 2125, 7630, 6568, 10, 11739, 9, 2933, 6, 20425, 6, 8, 1372, 6711, 29, 6, 10686, 13, 822, 4, 20, 33215, 16739, 83, 406, 6, 272, 6, 381, 6, 211, 6, 381, 3639, 7, 63, 15352, 30054, 2868, 1328, 5, 2214, 18, 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 ]	[ 57530, 51046, 60130, 51219, 60130, 51288, 60130, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 53566, 50641, 50438, 50627, 52888, 75085, 50627, 50444, 50641, 50450, 50627, 52689, 54098, 50641, 57530, 52888, 50824, 57628, 68086, 50418, 50627, 50420, 50641, 50426, 50627, 52689, 52030, 50641, 53565, 60920, 50627, 50442, 50627, 50444, 50641, 50450, 50627, 50456, 50641, 57530, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 52030, 50641, 52888, 53663, 50627, 50442, 50627, 50444, 50641, 52689, 54145, 50627, 50456, 50641, 52689, 50824, 57530, 50418, 50627, 50420, 50641, 52945, 54107, 50627, 50432, 50641, 53132, 53663, 50627, 50442, 50627, 50444, 50641, 52945, 54145, 50627, 50456, 50641, 52689, 50824, 57530, 51075, 56869, 50418, 50627, 50420, 50641, 52945, 51029, 51288, 56869, 50426, 50627, 51622, 64971, 50432, 50641, 50438, 50627, 50442, 50627, 50444, 50641, 50450, 50627, 50456, 50641, 57530, 51143, 56869, 50418, 50627, 50420, 50641, 51219, 56869, 50426, 50627, 54992, 62904, 56869, 50432, 50641, 50438, 50627, 54992, 50802, 51329, 56869, 50442, 50627, 50444, 50641, 54992, 63004, 56869, 50450, 50627, 51211, 56869, 54455, 50981, 53549, 58667, 50641, 54992, 51029, 57530, 51046, 51174, 51219, 51174, 51288, 51174, 51046, 50981, 50418, 50627, 50420, 50641, 50426, 50627, 51046, 51174, 51219, 51174, 51288, 51174, 52294, 51742, 52874, 51742, 50432, 50641, 50438, 50627, 51046, 50972, 51219, 50972, 51288, 50972, 50442, 50627, 50444, 50641, 51046, 50972, 51344, 50972, 51854, 55437, 50627, 51219, 50972, 51288, 57092, 50641, 51075, 50972, 51211, 50972, 52375, 51310, 57530, 51046, 51174, 51219, 51174, 51288, 51174, 50418, 50627, 50420, 50641, 50426, 50627, 51046, 51174, 51219, 51174, 51288, 51174, 53687, 57547, 50641, 50438, 50627, 51046, 51174, 51219, 51174, 51288, 51174, 52874, 50981, 50442, 50627, 50444, 50641, 50450, 50627, 51046, 76155, 50972, 51211, 50972, 52375, 54771, 50641, 51219, 50972, 51288, 50972, 52874, 50981, 57530, 51046, 50904, 51219, 50904, 51288, 68349, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 52294, 53770, 50627, 51046, 50904, 51219, 50904, 51288, 50904, 52294, 57250, 52294, 53513, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 52294, 53913, 50627, 51046, 50972, 51075, 50972, 51288, 50972, 51622, 50892, 50442, 50627, 50444, 50641, 51219, 50972, 51288, 50972, 51634, 54058, 50627, 51622, 54771, 50641, 52294, 50892, 51046, 51637, 51219, 51637, 51288, 51637, 57530, 52375, 59991, 51622, 79604, 50627, 50420, 50641, 52294, 53770, 50627, 51622, 57250, 51622, 53513, 50641, 51634, 60234, 51288, 52168, 50438, 50627, 51622, 58709, 51634, 50844, 50442, 50627, 50444, 50641, 51288, 54058, 50627, 51634, 58305, 51288, 54194, 50641, 51211, 50892, 57530, 51046, 50851, 51219, 50851, 51288, 50851, 51219, 50892, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 72359, 50851, 51219, 50851, 51288, 50851, 51622, 51145, 50432, 50641, 50438, 50627, 52888, 72359, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 58959, 50627, 52689, 50824, 51634, 58667, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 52888, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 58326, 50627, 52689, 50802, 51046, 50904, 51219, 50904, 51288, 54854, 50641, 53565, 51029, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 56692, 50627, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 51108, 51288, 72044, 50627, 50456, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904, 51046, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 54317, 50627, 54669, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 51145, 50432, 50641, 51046, 50904, 51219, 50904, 51288, 54728, 50627, 52888, 50802, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 52689, 72359, 51108, 51219, 51108, 51288, 58959, 50627, 51634, 58667, 50641, 52689, 72359, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904, 51622, 50892, 50418, 50627, 50420, 50641, 52945, 72359, 50904, 51219, 50904, 51288, 50904, 51634, 58326, 50627, 51046, 50904, 51219, 50904, 51288, 54854, 50641, 53132, 72359, 50904, 51219, 50904, 51288, 50904, 51211, 56692, 50627, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 52945, 72359, 51108, 51219, 51108, 51288, 51108, 51288, 72044, 50627, 50456, 50641, 52689, 72359, 50904, 51075, 50904, 51211, 50904, 57530, 51634, 50892, 51075, 51108, 50418, 50627, 50420, 50641, 52945, 51029, 51288, 51108, 51622, 51742, 50426, 50627, 51622, 52140, 50432, 50641, 50438, 50627, 50442, 50627, 50444, 50641, 50450, 50627, 51622, 58305, 51634, 54194, 50641, 51288, 50892, 57530, 51143, 51108, 51634, 51145, 50418, 50627, 50420, 50641, 51219, 60184, 50627, 51211, 64809, 50641, 50438, 50627, 54992, 50802, 51329, 51108, 51211, 50981, 50442, 50627, 50444, 50641, 54992, 63004, 58959, 50627, 51211, 51108, 51211, 58667, 50641, 54992, 51029, 57530, 51046, 50851, 51219, 50851, 51288, 50851, 51046, 50981, 50418, 50627, 50420, 50641, 50426, 50627, 51046, 50851, 51219, 50851, 51288, 50851, 52294, 50981, 52874, 57547, 50641, 50438, 50627, 51046, 50972, 51075, 50972, 51211, 50972, 52375, 50892, 50442, 50627, 50444, 50641, 51046, 50972, 51219, 50972, 51288, 50972, 52874, 57105, 50627, 51046, 50972, 51075, 50972, 51211, 57092, 50641, 51046, 50972, 51219, 50972, 51288, 50972, 51622, 50892, 57530, 51046, 76155, 50972, 52874, 50981, 50418, 50627, 50420, 50641, 51219, 55191, 50627, 51075, 50972, 52375, 54100, 50641, 51219, 50972, 52874, 56692, 50627, 51075, 50972, 50442, 50627, 50444, 50641, 51219, 50972, 52294, 54058, 50627, 51075, 50972, 51622, 58667, 50641, 51219, 50972, 57530, 51046, 50851, 51219, 50851, 51288, 50851, 51046, 50892, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 72359, 50851, 51219, 50851, 51288, 50851, 51622, 51145, 50432, 50641, 50438, 50627, 52888, 72359, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 58959, 50627, 52689, 50824, 51634, 58667, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 52888, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 58326, 50627, 52689, 50802, 51046, 50904, 51219, 50904, 51288, 54854, 50641, 53565, 51029, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 56692, 50627, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 51108, 51288, 72044, 50627, 50456, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904, 51046, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 54317, 50627, 54669, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 51145, 50432, 50641, 51046, 50904, 51219, 50904, 51288, 54728, 50627, 52888, 72359, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 58959, 50627, 52689, 50802, 51634, 58667, 50641, 52689, 72359, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904 ]
[ 0, 4688, 14899, 5175, 2214, 4246, 10, 20902, 20535, 2810, 6, 6755, 12547, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3741, 27374, 594, 6, 8, 17605, 9590, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 18461, 13410, 228, 2289, 6, 5, 1349, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 20, 16331, 33215, 16739, 9, 230, 6, 272, 6, 8, 211, 3639, 7, 63, 33200, 8, 33558, 16464, 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 ]	[ 56236, 53028, 50824, 51544, 50824, 51570, 50824, 52320, 50824, 50799, 51683, 51160, 51888, 51160, 51776, 51160, 52042, 50836, 54160, 56972, 63374, 57368, 52042, 52217, 52871, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52269, 50860, 53559, 50860, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52269, 50860, 53559, 50860, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52269, 51072, 53559, 51072, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217, 52848, 52269, 50823, 53559, 50802, 52042, 50836, 54160, 51812, 58807, 55874, 52042, 52217, 52955, 52269, 51066, 53559, 51072, 52042, 50836, 54747, 51331, 55603, 53736, 52042, 52217, 50812, 50799, 52595, 50836, 54380, 63374, 57368, 52595, 52217, 52871, 52269, 50802, 52889, 50802, 52595, 50836, 57397, 51331, 55603, 53578, 52595, 52217, 52710, 52269, 51066, 52889, 51072, 52595, 50836, 54380, 51812, 58807, 55658, 52595, 52217, 52749, 52595, 50836, 57397, 51331, 55603, 53785, 52595, 52217, 52841, 52269, 51066, 52889, 51072, 52595, 50836, 54380, 63374, 56358, 52595, 52217, 52597, 52595, 50836, 57397, 51331, 55603, 53851, 52595, 52217, 52848, 51683, 51160, 51713, 51160, 52002, 51160, 52595, 50836, 54380, 51812, 56972, 58807, 55874, 52595, 52217, 52955, 52595, 50836, 57397, 51331, 55603, 53736, 52595, 52217, 50812, 50799, 51683, 51160, 51888, 51160, 51776, 51160, 52042, 50836, 54160, 56972, 63374, 57368, 52042, 52217, 52871, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52269, 50823, 53559, 50860, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52269, 50823, 53559, 50802, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52269, 51066, 53559, 51072, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217, 52848, 52269, 50823, 53559, 50860, 52042, 50836, 54160, 51812, 58807, 55874, 52042, 52217, 52955, 52269, 50993, 53559, 50824, 52042, 50836, 54747, 51331, 55603, 53736, 52042, 52217, 50812, 63719, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 53388, 50860, 52449, 50802, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 53388, 51066, 52449, 51072, 52020, 50836, 53631, 51812, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 53388, 50824, 52449, 50824, 52020, 50836, 53631, 63374, 56358, 52020, 52217, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 52310, 51160, 51648, 51160, 51776, 51160, 52020, 50836, 53631, 56972, 51812, 58807, 55874, 52020, 52217, 52955, 52020, 60038, 50299, 51331, 55603, 53736, 52020, 52217, 50812, 50799, 51913, 51160, 51683, 51160, 51713, 51160, 52595, 50836, 54380, 56972, 63374, 57368, 52595, 52217, 52871, 52595, 50836, 57397, 51331, 55603, 53578, 52595, 52217, 52710, 52248, 50823, 52269, 50823, 52595, 50836, 54380, 51812, 58807, 55658, 52595, 52217, 52749, 52248, 50823, 52269, 50860, 52595, 50836, 57397, 51331, 55603, 53785, 52595, 52217, 52841, 52248, 51066, 52269, 51072, 52595, 50836, 54380, 63374, 56358, 52595, 52217, 52597, 52595, 50836, 57397, 51331, 55603, 53851, 52595, 52217, 52848, 52248, 50823, 52269, 50860, 52595, 50836, 54380, 51812, 58807, 55874, 52595, 52217, 52955, 52248, 50993, 52269, 51072, 52595, 50836, 57397, 51331, 55603, 53736, 52595, 52217, 50812, 64377, 50836, 54160, 63374, 57368, 52042, 52217, 52871, 52239, 50860, 52269, 50802, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52248, 51066, 52269, 51072, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52239, 51009, 52269, 51009, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 57017, 50880, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217, 52848, 50712, 50291, 50880, 52042, 50836, 54160, 51812, 58807, 55874, 52042, 52217, 52955, 66392, 50880, 52042, 50836, 54747, 51331, 55603, 53736, 52042, 52217, 50812, 50799, 66348, 52570, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 52020, 50836, 53631, 51812, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 52020, 50836, 53631, 63374, 56358, 52020, 52217, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 52020, 50836, 53631, 51812, 58807, 55874, 52020, 52217, 52955, 52020, 60038, 50299, 51331, 55603, 53736, 52020, 52217, 50812, 50799, 55282, 52500, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 52020, 50836, 53631, 51812, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 52020, 50836, 53631, 63374, 56358, 52020, 52217, 52597, 57017, 50921, 51683, 50880, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 50712, 50291, 50880, 52310, 50880, 52020, 50836, 53631, 51812, 58807, 55874, 52020, 52217, 52955, 66392, 50880, 51913, 50880, 52020, 60038, 50299, 51331, 55603, 53736, 52020, 52217, 50812, 50799, 66348, 51285, 51963, 50980, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 51963, 50821, 52310, 50821, 52020, 50836, 53631, 62748, 54371, 58807, 55658, 52020, 52217, 52749, 51963, 50921, 52310, 50921, 52020, 60038, 50299, 62748, 50845, 51340, 51104, 53785, 52020, 52217, 52841, 50712, 50291, 51285, 51963, 50980, 52310, 50980, 52020, 50836, 53631, 62748, 55530, 52448, 56358, 52020, 52217, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 51963, 50821, 52310, 50821, 51648, 50821, 52020, 50836, 53631, 62748, 54371, 58807, 55874, 52020, 52217, 52955, 51963, 50980, 52310, 50980, 51648, 50980, 52020, 60038, 50299, 62748, 50915, 51340, 51104, 53736, 52020, 52217, 50812, 50799, 59559, 51285, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 51963, 50921, 52310, 50921, 51648, 50921, 51713, 50921, 52020, 60038, 50299, 50802, 51357, 51101, 51340, 51104, 53578, 52020, 52217, 52710, 51963, 50980, 52310, 50980, 51648, 50980, 51713, 50980, 52020, 50836, 53631, 71569, 56951, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 55865, 51285, 51963, 50921, 52310, 50921, 51648, 50921, 51776, 50921, 52020, 50836, 53631, 68267, 54371, 51670, 52448, 56358, 52020, 54472, 51156, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 54472, 51156, 52848, 51963, 50921, 52310, 50921, 51648, 50921, 51776, 50921, 52020, 50836, 53631, 68267, 54371, 53972, 55874, 52020, 52217, 52955, 52020, 60038, 50299, 65272, 55603, 53736, 52020, 54472, 51052, 50812, 50799, 57017, 50936, 51683, 50921, 51888, 50921, 51776, 50921, 52306, 50921, 52042, 50836, 54160, 68308, 50845, 51304, 71811, 63374, 57368, 52042, 52217, 52871, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217 ]
[ 0, 250, 15855, 5175, 24904, 6, 42, 765, 2214, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 6, 1969, 13, 822, 4, 16241, 212, 6820, 6, 638, 268, 6, 8, 2236, 1021, 2678, 29, 45552, 833, 19, 38668, 18569, 8, 7304, 19250, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 27841, 139, 20889, 6, 19, 10, 33215, 16739, 9, 230, 6, 274, 119, 6, 2060, 6, 8, 12608, 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 ]	[ 50799, 50643, 76501, 50625, 50796, 51474, 50474, 61453, 51333, 51540, 68612, 76357, 62699, 52378, 50450, 55496, 52519, 50468, 55693, 51470, 50474, 55496, 52378, 51540, 62699, 76357, 56048, 53096, 50450, 75081, 52519, 50468, 61453, 51824, 50474, 56048, 53096, 51540, 68612, 51447, 50438, 61453, 54344, 50450, 61453, 53577, 50468, 57894, 52192, 50474, 61453, 52996, 51540, 56048, 53866, 50450, 62582, 56308, 50474, 61453, 53697, 50727, 50309, 53697, 51540, 68612, 54557, 50415, 50727, 50314, 52598, 50438, 62699, 53697, 50727, 50312, 54836, 50450, 55496, 53280, 50451, 50727, 50312, 56458, 50468, 55693, 51254, 50474, 55496, 52460, 70613, 52378, 51540, 62699, 51703, 70210, 52263, 50438, 56048, 54521, 50439, 50727, 50312, 54836, 50450, 75081, 54211, 50727, 50312, 56458, 50468, 61453, 52192, 50474, 56048, 52460, 50727, 50310, 53892, 51540, 68612, 51738, 50727, 50309, 52440, 50426, 56048, 54836, 50438, 61453, 54344, 50727, 50310, 58090, 50450, 57894, 53280, 50727, 50309, 52440, 50469, 56783, 51824, 50474, 57894, 53096, 70210, 54521, 51540, 61453, 54573, 70613, 56329, 50450, 61453, 52212, 50451, 50727, 50314, 55776, 50474, 61453, 51466, 50727, 50309, 50928, 50734, 50305, 52996, 51540, 68612, 51490, 50727, 50314, 52407, 63702, 54532, 50438, 62699, 52378, 50727, 50312, 53697, 79814, 52378, 50450, 55496, 52519, 50727, 50312, 56458, 50734, 50305, 52407, 50468, 55693, 51470, 50474, 55496, 52378, 50475, 70613, 51806, 63702, 54836, 51540, 62699, 52147, 70210, 52263, 67967, 54557, 50438, 56048, 53096, 50727, 50312, 54836, 79814, 52996, 50450, 75081, 52519, 50451, 50727, 50312, 52440, 50734, 50304, 54557, 50468, 61453, 51824, 50474, 56048, 53096, 50475, 50727, 50310, 56615, 79814, 54836, 51540, 68612, 51703, 50727, 50309, 54532, 50734, 50305, 56458, 50438, 61453, 54344, 50727, 50309, 54521, 50734, 50305, 53892, 50450, 61453, 53577, 50727, 50307, 52212, 50734, 50302, 54557, 50469, 57894, 52192, 50474, 61453, 53957, 50727, 50314, 52056, 50734, 50302, 53010, 51540, 56048, 53866, 50727, 50313, 53486, 63702, 55586, 50450, 62582, 56308, 50727, 50313, 54557, 50734, 50304, 56458, 50474, 61453, 53697, 50475, 50727, 50309, 53697, 50734, 50305, 53096, 50736, 50290, 51753, 51540, 68612, 54557, 50727, 50314, 52598, 63702, 54532, 50415, 50736, 50290, 52519, 50438, 62699, 53697, 50727, 50312, 54836, 79814, 52996, 50736, 50292, 53161, 50450, 55496, 53577, 50727, 50312, 56458, 50734, 50305, 54557, 50736, 50293, 54557, 50468, 55693, 52192, 50474, 55496, 53892, 70613, 52378, 63702, 54344, 50736, 50293, 53010, 51540, 62699, 51703, 70210, 52263, 67967, 54532, 50415, 50736, 50288, 54532, 50438, 56048, 54521, 50439, 50727, 50312, 54836, 79814, 53892, 50736, 50288, 53161, 50450, 75081, 54211, 50727, 50312, 56458, 50734, 50304, 54557, 50736, 50288, 53280, 50468, 61453, 52192, 50474, 56048, 52460, 50475, 50727, 50310, 53892, 79814, 53892, 50736, 50289, 51432, 51540, 68612, 51738, 50727, 50309, 52440, 50734, 50305, 56458, 50415, 50736, 50290, 52136, 50426, 56048, 54836, 50438, 61453, 56615, 50727, 50310, 58090, 79814, 54836, 50736, 50283, 52518, 50450, 57894, 53280, 50727, 50309, 52440, 50734, 50304, 54557, 50736, 50285, 55002, 50468, 56783, 51432, 50474, 57894, 53161, 50727, 50309, 54521, 50734, 50304, 53010, 50475, 50736, 50285, 53010, 51540, 61453, 54573, 50415, 50727, 50309, 56329, 50734, 50305, 54829, 50736, 50290, 55586, 50450, 61453, 53866, 70613, 55776, 63702, 54573, 50736, 50290, 54829, 51540, 71630, 52528, 50415, 70210, 52783, 63702, 52783, 73729, 55586, 56817, 51103, 59481, 54829, 50450, 71630, 52136, 50727, 50321, 52441, 50451, 67967, 52407, 50736, 50293, 52407, 56817, 51191, 67350, 51381, 50468, 55693, 51470, 50727, 50319, 51006, 50469, 53807, 50897, 70077, 51254, 50474, 55496, 52059, 70613, 51432, 67967, 51210, 50736, 50293, 52192, 50475, 53775, 50897, 73933, 51862, 51540, 62699, 51703, 50415, 70210, 52598, 67967, 51961, 50736, 50288, 53280, 55783, 51413, 59481, 53577, 50438, 56048, 53697, 50727, 50312, 54836, 79814, 51309, 50736, 50288, 51387, 50439, 53091, 50845, 74012, 53106, 50450, 75081, 56374, 50451, 50727, 50312, 54211, 50734, 50304, 51477, 50736, 50288, 55812, 55521, 52256, 74012, 79802, 50468, 61453, 52731, 50727, 50314, 51254, 50474, 56048, 56615, 50475, 50727, 50310, 53010, 79814, 50838, 50736, 50289, 51862, 51540, 68612, 52440, 50727, 50309, 56458, 50734, 50305, 51637, 50415, 50736, 50289, 54532, 50438, 61453, 55197, 50439, 50727, 50309, 54298, 50734, 50305, 51006, 50736, 50290, 59038, 61453, 55002, 50451, 50727, 50310, 56458, 79814, 51283, 50736, 50283, 52519, 50468, 57894, 51697, 50474, 61453, 53697, 50475, 50727, 50314, 51166, 79814, 51174, 50736, 50286, 51074, 51540, 56048, 52212, 50415, 50727, 50313, 54532, 50734, 50304, 51878, 50736, 50285, 52212, 50438, 57894, 56615, 50727, 50309, 54861, 50734, 50304, 51051, 50736, 50285, 52179, 50450, 62582, 63160, 50451, 50727, 50309, 58468, 63702, 52783, 50736, 50285, 55586, 51540, 71630, 52980, 70210, 52783, 63702, 52783, 50415, 73729, 55586, 56817, 51103, 59481, 52440, 50450, 71630, 52256, 50451, 50727, 50321, 51283, 67967, 52263, 50736, 50293, 53577, 56817, 51189, 67350, 54211, 50468, 55693, 51079, 50727, 50319, 51254, 50469, 53807, 50917, 70077, 52731, 50474, 55496, 52378, 70613, 51753, 67967, 51376, 50736, 50293, 51387, 50475, 53775, 50917, 73933, 51862, 51540, 62699, 51703, 70210, 52407, 67967, 51965, 50415, 50736, 50288, 53577, 55783, 51413, 59481, 56458, 50438, 56048, 53096, 50439, 50727, 50312, 54848, 79814, 50972, 50736, 50288, 52179, 53091, 51363, 74012, 57070, 50450, 75081, 59170, 50727, 50312, 54211, 50734, 50304, 51477, 50736, 50288, 53280, 50451, 55521, 52441, 74012, 75222, 50468, 61453, 51387, 50727, 50314, 51365, 52077, 52782, 50474, 56048, 51738, 50727, 50310, 51697, 79814, 50838, 50736, 50289, 51470, 50475, 51882, 53726, 51540, 68612, 53280, 50727, 50309, 54557, 50734, 50305, 51283, 50415, 50736, 50290, 53280, 52655, 55002, 50432, 56048, 51824, 50433, 51882, 52192, 50438, 61453, 53892, 50439, 50727, 50310, 53697, 50734, 50295, 51166, 79814, 51058, 50736, 50283, 51277, 52077, 53726, 50450, 57894, 53280, 50727, 50309, 54557, 50734, 50297, 52136, 50734, 50304, 51627, 50451, 50736, 50285, 51637, 51855, 53674, 50468, 56783, 52782, 51813, 52731, 50474, 57894, 54521, 50727, 50309, 53892, 50734, 50297, 52518, 50734, 50304, 51006, 50475, 50736, 50285, 50838, 51855, 52518, 51540, 61453, 54573, 50727, 50309, 56329, 50734, 50302, 54829, 50415, 50734, 50305, 52015, 50736, 50290, 51680, 52077, 56329, 50450, 61453, 54228, 50451, 70613, 54228, 50734, 50305, 51961, 63702, 53577, 73729, 53674, 52077, 53674, 50474, 61453, 51330, 50727, 50309, 53697, 50734, 50305, 52996, 50736, 50290, 54836, 50475, 52077, 51380, 68444, 53161, 51540, 68612, 51314, 50727, 50314, 52407, 50415, 63702, 54532, 50736, 50290, 52136, 52655, 51535, 50705, 50290, 51330, 68445, 59170, 50438, 62699, 51576, 50727, 50312, 53697, 79814, 52378, 50736, 50292, 51884, 50439, 52914, 52188, 50450, 55496, 51477, 50727, 50312, 56458, 50734, 50305, 52407, 50451, 50736, 50293, 52136, 52561, 51637, 50705, 50293, 50995, 67751, 53674, 50468, 55693, 51254, 52908, 51174, 50474, 55496, 51576, 70613, 51806, 63702, 54836, 50736, 50293, 51481, 50475, 52561, 51775 ]
[ 0, 250, 2933, 8, 9066, 5175, 19834, 6, 4246, 30587, 29589, 6, 6755, 12547, 6, 17288, 6, 4401, 757, 3178, 6, 8, 21072, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 274, 538, 6, 19, 10, 33215, 16739, 9, 230, 6, 2060, 73, 387, 428, 6, 8, 1918, 6, 2351, 10, 25306, 8, 814, 12, 21330, 5466, 14, 7630, 6568, 10, 1472, 9, 980, 8, 2821, 16235, 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 ]	[ 54458, 53682, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 53305, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 76311, 50799, 53682, 51650, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 53305, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 52732, 52485, 58497, 50795, 50799, 53682, 50795, 52133, 51036, 69220, 53305, 56717, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 52732, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 52133, 59578, 52329, 53682, 52732, 53307, 50801, 52444, 50777, 50295, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 50795, 52306, 52154, 54139, 52306, 52218, 52485, 58497, 54093, 52306, 50800, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 52306, 51650, 52628, 52306, 51631, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 51036, 53812, 51650, 52628, 53191, 52296, 53191, 51620, 53682, 77628, 52154, 52359, 53191, 52262, 76311, 51658, 52510, 53812, 51650, 52555, 53812, 52732, 52485, 53812, 50795, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53812, 51650, 52628, 54705, 52296, 54705, 51620, 58497, 50795, 54705, 52154, 52359, 53682, 50795, 54705, 53505, 76311, 51658, 52510, 52305, 77628, 51650, 52555, 51942, 77628, 52732, 54139, 50801, 52485, 58497, 77628, 50795, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 53812, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 50795, 52306, 52154, 54139, 52306, 52218, 52485, 58497, 54093, 52306, 50800, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 52306, 51650, 52628, 52306, 51631, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 51036, 53812, 51650, 52628, 53191, 52296, 53191, 51620, 53682, 77628, 52154, 52359, 53191, 52262, 76311, 51658, 52510, 53812, 51650, 52555, 53812, 52732, 52485, 53812, 50795, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53812, 51650, 52628, 54705, 52296, 54705, 51620, 58497, 50795, 54705, 52154, 52359, 53682, 50795, 54705, 53505, 76311, 51658, 52510, 52305, 77628, 51650, 52555, 51942, 77628, 52732, 54139, 50801, 52485, 58497, 77628, 50795, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 53812, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53079, 60314, 52329, 58497, 52732, 52359, 53682, 53505, 50801, 52444, 52696, 55755, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 50795, 52306, 52154, 54139, 52306, 51754, 58497, 54093, 52306, 50800, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 50700, 50273, 51492, 52306, 51650, 52628, 52306, 51631, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 51036, 53812, 51650, 52628, 53191, 52296, 53191, 51620, 53682, 77628, 52154, 52359, 53191, 52262, 76311, 51658, 52510, 53812, 51650, 52555, 53812, 52732, 52485, 53812, 50795, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53812, 51650, 52628, 54705, 52296, 54705, 51620, 58497, 50795, 54705, 52154, 52359, 53682, 50795, 54705, 53505, 76311, 51658, 52510, 52305, 77628, 51650, 52555, 51942, 77628, 52732, 52485, 58497, 77628, 50795, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 53812, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53079, 50983, 53512, 60314, 52329, 58497, 52732, 52359, 53682, 53505, 50801, 52444, 52696, 50918, 56742, 55755, 52510, 50801, 52555, 50843, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 59578, 52329, 53682, 52732, 50809, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 52732, 54139, 50801, 52485, 58497, 50795, 50799, 50700, 50273, 51492, 58535, 51492, 65405, 55755, 52359, 50801, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 50801, 52444, 50777, 50307, 59578, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 50799, 50777, 50289, 52382, 50801, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52773, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52510, 53682, 51798, 52305, 51923, 51278, 51650, 50809, 72244, 51650, 52628, 52305, 51631, 51778, 51736, 51386, 51650, 50809, 51658, 52485, 76311, 51755, 52359, 50801, 52444, 52305, 51650, 52510, 51611, 52513, 52305, 51757, 51942, 51923, 76311, 51755, 52359, 76311, 51658, 52510, 53682, 51923, 53682, 51650, 50809, 50799, 58259, 51650, 52359, 76311, 51658, 52485, 76311, 50799, 65405, 55755, 56717, 52628, 53682, 51631, 52305, 51736, 51278, 51650, 52444, 51521, 51650, 52510, 52305, 51798, 51778, 51923, 51386, 51650, 50809, 51755, 52359, 76311, 51658, 52485, 76311, 50799, 52305, 51650 ]
[ 0, 250, 8787, 25771, 5175, 15229, 14, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 26545, 6, 4246, 10, 5730, 2342, 4467, 6, 6755, 12547, 6, 20535, 483, 6, 13305, 6, 8, 38668, 20535, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 25451, 11, 5, 762, 9, 274, 10431, 538, 19, 10, 33215, 13931, 9, 274, 10431, 6, 12608, 119, 6, 230, 10431, 6, 274, 10431, 6, 8, 12608, 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 ]	[ 57128, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 50807, 54837, 50807, 55156, 50807, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 61899, 54601, 50807, 55156, 50807, 57381, 52424, 54486, 50807, 57381, 50807, 61893, 52728, 54645, 52382, 57381, 52382, 61297, 52382, 50799, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 54837, 51492, 55156, 51492, 62365, 51492, 60390, 51492, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 51036, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 51036, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 51036, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 50807, 55156, 50807, 54245, 51036, 56058, 50807, 52176, 51036, 51708, 52910, 56852, 50807, 56276, 50807, 55606, 50807, 52040, 52424, 55026, 51492, 55562, 51492, 54564, 51492, 51280, 51492, 50799, 54517, 51036, 51876, 51036, 50799, 54517, 51036, 51876, 51036, 50799, 54517, 51036, 51876, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51313, 52756, 51036, 51743, 51313, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 50807, 55857, 50807, 54324, 50807, 52402, 50807, 52187, 50807, 52340, 52910, 55663, 50807, 55667, 50807, 52756, 50807, 51743, 50807, 52414, 50807, 52036, 52424, 63331, 50918, 54324, 50918, 54375, 50918, 52332, 50918, 52340, 50918, 53129, 50918, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 53520, 55857, 53520, 54324, 53520, 52402, 53520, 52187, 53520, 52340, 53520, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 51161, 55857, 51161, 54324, 51161, 52402, 51161, 52187, 51161, 52340, 51161, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55857, 50807, 54324, 50807, 54615, 50807, 52187, 50807, 52340, 50807, 53499, 52910, 54942, 50807, 55667, 50807, 53527, 50807, 51863, 50807, 52414, 50807, 52735, 52424, 59018, 50983, 55857, 50983, 54467, 50983, 52255, 50983, 52187, 50983, 53188, 68862, 54324, 50795, 54375, 50795, 57797, 50795, 52340, 50795, 53129, 50795, 54339, 50795, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55667, 50807, 53719, 50807, 55861, 50807, 52414, 50807, 52225, 50807, 53976, 52910, 55857, 51161, 54324, 51161, 54615, 51161, 52187, 51161, 52340, 51161, 53499, 51161, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 59018, 50807, 53719, 50807, 54467, 50807, 52255, 50807, 52225, 50807, 53188, 52910, 54942, 53520, 54375, 53520, 53527, 53520, 51863, 53520, 53129, 53520, 52735, 53520, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 50807, 55857, 50807, 54324, 50807, 52402, 50807, 52187, 50807, 52340, 52910, 55663, 50807, 55667, 50807, 52756, 50807, 51743, 50807, 52414, 50807, 52036, 52424, 63331, 50918, 54324, 50918, 54375, 50918, 52332, 50918, 52340, 50918, 53129, 50918, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 53520, 55857, 53520, 54324, 53520, 52402, 53520, 52187, 53520, 52340, 53520, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 51161, 55857, 51161, 54324, 51161, 52402, 51161, 52187, 51161, 52340, 51161, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55857, 50807, 54324, 50807, 54615, 50807, 52187, 50807, 52340, 50807, 53499, 52910, 54942, 50807, 55667, 50807, 53527, 50807, 51863, 50807, 52414, 50807, 52735, 52424, 59018, 50983, 55857, 50983, 54467, 50983, 52255, 50983, 52187, 50983, 53188, 68862, 54324, 50795, 54375, 50795, 57797, 50795, 52340, 50795, 53129, 50795, 54339, 50795, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55667, 50807, 53719, 50807, 55861, 50807, 52414, 50807, 52225, 50807, 53976, 52910, 55857, 51161, 54324, 51161, 54615, 51161, 52187, 51161, 52340, 51161, 53499, 51161, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 59018, 50807, 53719, 50807, 54467, 50807, 52255, 50807, 52225, 50807, 53188, 52910, 54942, 53520, 54375, 53520, 53527, 53520, 51863, 53520, 53129, 53520, 52735, 53520, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 59114, 50807, 52033, 52910, 63331, 50807, 52332, 52424, 59018, 50807, 52255, 52728, 54942, 50795, 51863, 51923, 55857, 50795, 52187, 50795, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 54324, 50983, 52340, 57345, 55667, 50795, 52414, 51646, 53719, 50807, 52225, 52728, 54324, 50807, 52340, 50807, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 51492, 54324, 51492, 52402, 51492, 52340, 51492, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 59114, 50807, 52033, 52910, 63331, 50807, 52332, 52424, 59018, 50807, 52255, 52728, 54942, 50795, 51863, 51923, 55857, 50795, 52187, 50795, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 54324, 50983, 52340, 57345, 55667, 50795, 52414, 51646, 53719, 50807, 52225, 52728, 54324, 50807, 52340, 50807, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 51492, 54324, 51492, 54375, 51492, 52402, 51492, 52340, 51492, 53129, 51492, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 50807, 55857, 50807, 54324, 50807, 52402, 50807, 52187, 50807, 52340, 52910, 55663, 50807, 55667, 50807, 52756, 50807, 51743, 50807, 52414, 50807, 52036, 52424, 63331, 50918, 54324, 50918, 54375, 50918, 52332, 50918, 52340, 50918, 53129, 50918, 50799, 65168, 51036, 64617, 51036 ]
[ 0, 250, 13363, 28191, 19834, 2125, 14, 23458, 28337, 25771, 4785, 6, 2351, 41, 24111, 25306, 676, 4, 590, 10, 20889, 9, 5595, 13410, 228, 2289, 8, 10, 231, 73, 398, 86, 6543, 6, 42, 15229, 30853, 23, 41, 1614, 1073, 1020, 2877, 11, 5, 762, 9, 163, 428, 538, 4, 20, 14123, 24943, 1575, 5, 16141, 23225, 9, 5, 2893, 27374, 594, 6, 13602, 9171, 6, 31103, 5675, 5997, 1033, 6, 7382, 10337, 6, 8, 5816, 3540, 6, 32971, 561, 10, 5797, 990, 1506, 9, 2369, 14, 7630, 6568, 10, 1472, 9, 2821, 16235, 6, 26545, 6, 8, 3722, 5581, 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 ]	[ 51540, 50623, 50906, 51356, 50902, 51356, 55745, 51127, 53952, 51127, 53602, 51127, 52494, 51127, 65884, 51356, 57302, 51356, 51722, 51127, 51612, 51127, 73407, 51127, 62582, 51127, 52661, 51127, 52779, 51127, 51340, 50990, 66006, 70704, 51068, 50361, 51122, 51128, 53842, 51544, 54860, 51068, 50361, 51122, 57328, 55108, 50906, 52530, 50319, 51016, 55745, 50943, 53256, 50943, 53602, 50943, 53042, 50943, 65884, 51016, 55846, 51016, 51722, 50943, 52184, 50943, 73407, 50943, 57894, 50943, 52661, 50943, 53276, 50943, 51068, 55459, 50930, 71495, 58641, 50943, 51180, 55256, 50965, 51356, 50902, 51356, 55745, 51127, 53205, 51127, 55872, 51127, 52494, 51127, 65884, 51356, 56825, 51356, 51986, 51127, 51612, 51127, 73407, 51127, 56783, 51127, 53232, 51127, 52779, 51127, 71495, 66006, 51127, 51453, 50867, 69847, 50855, 50468, 51068, 50361, 51122, 61315, 50971, 50474, 50965, 68638, 51016, 55745, 50943, 53205, 50943, 55872, 50943, 52795, 50943, 65884, 51016, 56825, 51016, 51986, 50943, 51567, 50943, 73407, 50943, 56783, 50943, 53232, 50943, 52360, 50943, 52029, 50990, 58641, 50943, 50480, 51068, 50361, 51122, 57328, 50971, 51540, 50861, 51356, 50906, 51356, 61125, 51127, 56676, 51127, 54650, 51127, 53602, 51127, 50695, 50295, 51356, 59679, 51356, 51555, 51127, 51722, 51127, 50725, 50295, 51127, 80014, 51127, 52118, 51127, 52661, 51127, 51068, 54690, 50930, 71495, 66006, 70704, 51068, 50361, 51122, 51128, 53842, 51544, 50886, 51361, 55108, 50956, 67957, 51016, 61125, 50873, 55745, 50943, 65960, 50943, 54650, 50943, 50695, 50295, 50893, 65884, 51016, 52623, 50943, 51555, 50943, 50725, 50295, 50873, 73407, 50943, 53252, 50943, 52118, 50943, 51340, 50990, 58641, 58141, 61018, 50873, 75458, 50893, 50725, 50294, 67513, 50361, 51122, 61315, 55256, 50956, 51941, 50861, 51941, 58899, 51127, 55745, 51127, 65960, 51518, 54650, 51518, 79586, 51356, 65884, 51356, 52623, 51518, 51555, 51518, 50725, 50292, 51127, 73407, 51127, 53252, 51518, 52118, 51518, 52029, 50990, 74910, 51518, 50456, 51068, 50361, 51122, 51126, 53842, 50462, 51068, 54690, 50930, 52558, 50468, 51068, 55296, 52675, 50971, 50474, 57533, 50943, 59410, 50943, 70121, 51016, 63276, 51016, 76568, 50943, 50725, 50301, 50943, 52558, 50480, 50791, 50971, 51540, 50899, 51356, 50871, 51356, 58588, 51127, 55745, 51127, 61513, 51127, 56496, 51127, 50695, 50290, 51356, 65884, 51356, 52123, 51127, 51783, 51127, 50725, 50290, 51127, 73407, 51127, 52508, 51127, 52230, 51127, 51340, 50990, 66006, 51127, 51039, 51000, 51544, 50886, 51361, 55108, 50871, 70606, 51016, 55745, 50873, 54476, 50943, 56496, 50943, 53602, 50943, 65884, 50893, 58185, 51016, 51783, 50943, 51722, 50943, 73407, 50873, 61167, 50943, 52230, 50943, 52661, 50943, 51068, 54690, 50930, 71495, 58641, 58141, 59410, 50873, 63276, 50893, 50725, 50301, 54068, 55256, 50861, 51356, 50906, 51356, 57457, 51127, 54476, 51127, 54650, 51127, 53602, 51127, 66723, 51356, 58185, 51356, 51555, 51127, 51722, 51127, 50725, 50299, 51127, 61167, 51127, 52118, 51127, 52661, 51127, 71495, 66006, 51127, 50456, 51068, 50361, 51122, 51128, 52558, 69847, 50855, 50468, 51068, 50361, 51122, 57328, 50971, 50474, 50906, 52530, 50318, 51016, 57457, 50943, 53205, 50873, 53602, 50943, 52494, 50943, 66723, 51016, 56825, 50893, 51722, 50943, 51612, 50943, 50725, 50299, 50943, 56783, 50873, 52661, 50943, 52779, 50943, 52029, 50990, 58641, 50943, 50480, 53952, 50873, 57302, 50893, 62582, 54068, 50971, 51540, 50861, 51941, 50906, 51941, 50902, 51941, 55561, 51518, 54676, 51518, 54650, 51518, 53602, 51518, 52494, 51518, 58969, 51941, 62059, 51941, 51555, 51518, 51722, 51518, 51612, 51518, 67349, 51518, 69335, 51518, 52118, 51518, 52661, 51518, 52779, 51518, 51068, 54690, 50930, 71495, 74910, 74910, 51518, 50420, 51068, 50361, 51122, 51128, 53842, 51544, 54860, 51068, 50361, 51122, 57328, 50971, 51570, 50836, 51180, 55256, 50871, 51941, 50877, 51941, 50876, 51941, 57533, 50943, 56676, 51518, 56496, 51518, 54019, 51518, 52795, 51518, 70121, 51016, 59679, 51941, 51783, 51518, 51584, 51518, 51567, 51518, 76568, 50943, 80014, 51518, 52230, 51518, 52345, 51518, 52360, 51518, 52029, 50990, 74910, 74910, 51518, 51453, 51000, 50462, 57457, 50943, 66723, 51016, 50725, 50299, 50943, 51068, 54690, 50930, 52558, 50468, 51068, 55296, 52675, 50971, 50474, 59410, 50943, 63276, 51016, 50725, 50301, 50943, 52558, 50480, 50791, 50971, 51540, 50906, 51356, 50902, 51356, 55745, 51127, 53952, 51127, 53602, 51127, 52494, 51127, 65884, 51356, 57302, 51356, 51722, 51127, 51612, 51127, 73407, 51127, 62582, 51127, 52661, 51127, 52779, 51127, 51340, 50990, 66006, 51127, 51039, 51000, 51544, 50886, 51361, 55108, 50906, 52530, 50319, 51016, 55745, 50943, 53205, 50943, 53602, 50943, 53042, 50943, 65884, 51016, 56825, 51016, 51722, 50943, 52184, 50943, 73407, 50943, 56783, 50943, 52661, 50943, 53276, 50943, 51068, 54690, 50930, 71495, 58641, 58141, 51068, 50361, 51122, 61315, 55256, 50965, 51356, 50902, 51356, 55745, 51127, 53952, 51127, 55872, 51127, 52494, 51127, 65884, 51356, 57302, 51356, 51986, 51127, 51612, 51127, 73407, 51127, 62582, 51127, 53232, 51127, 52779, 51127, 71495, 66006, 51127, 51453, 50867, 69847, 50855, 50468, 51068, 50361, 51122, 57328, 50971, 50474, 50965, 68638, 51016, 55745, 50943, 53952, 50943, 55872, 50943, 52795, 50943, 65884, 51016, 57302, 51016, 51986, 50943, 51567, 50943, 73407, 50943, 62582, 50943, 53232, 50943, 52360, 50943, 52029, 50990, 58641, 50943, 50480, 50791, 50971, 51540, 50861, 51356, 50906, 51356, 61125, 51127, 56676, 51127, 54650, 51127, 53602, 51127, 50695, 50295, 51356, 59679, 51356, 51555, 51127, 51722, 51127, 50725, 50295, 51127, 80014, 51127, 52118, 51127, 52661, 51127, 51068, 54690, 50930, 71495, 66006, 51127, 51039, 51000, 51544, 50886, 51361, 55108, 50956, 67957, 51016, 61125, 50943, 55745, 50873, 65960, 50943, 54650, 50943, 50695, 50295, 51016, 65884, 50893, 52623, 50943, 51555, 50943, 50725, 50295, 50943, 73407, 50873, 53252, 50943, 52118, 50943, 51340, 50990, 58641, 58141, 55561, 50873, 58969, 50893, 67349, 67513, 50361, 51122, 57328, 55256, 50916, 51941, 50861, 51941, 61947, 51518, 59088, 51518, 60856, 51518, 54650, 51518, 50695, 50296, 51941, 63910, 51941, 52041, 51518, 51555, 51518, 50725, 50296, 51518, 50725, 50305, 51518, 52760, 51518, 52118, 51518, 52029, 50990, 74910, 51518, 50456, 51068, 50361, 51122, 51128, 53842, 50462, 51068, 54690, 50930, 52558, 50468, 51068, 55296, 52675, 50971, 50474, 52558, 50480, 51068, 50361, 51122, 57328, 50971, 51540, 50899, 51356, 50871, 51356, 57533, 51127, 55745, 51127, 61513, 51127, 56496, 51127, 70121, 51356, 65884, 51356, 52123, 51127, 51783, 51127, 76568, 51127, 73407, 51127, 52508, 51127, 52230, 51127, 51340, 50990, 66006, 70704, 51068, 50361, 51122, 51126, 52558, 51544, 56693, 51068, 50361, 51122, 57328, 54431, 50871, 70606, 51016, 57533, 50943, 54476, 50943, 56496, 50943, 53602, 50943, 70121, 51016, 58185, 51016, 51783, 50943, 51722, 50943, 76568, 50943, 61167, 50943, 52230, 50943, 52661, 50943, 51068, 55459, 50930, 51895, 50990, 58641, 58141, 51068, 50361, 51122, 51128, 53842, 56415, 51356, 50877, 51356, 57533, 51127, 56676, 51127, 56496, 51127, 54019, 51127, 70121, 51356, 59679, 51356, 51783, 51127, 51584, 51127 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 41, 21979, 8669, 6, 6755, 12547, 6, 8, 1337, 17796, 15561, 6, 217, 11212, 6, 20535, 6, 8, 483, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 25451, 11, 5, 762, 9, 83, 3694, 4, 20, 33215, 16739, 9, 3676, 406, 6, 230, 6, 8, 211, 4620, 5, 46336, 24456, 9, 42, 3366, 219, 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 ]	[ 57211, 50460, 52021, 51655, 50461, 51164, 51696, 57342, 51696, 76750, 51655, 50416, 50939, 51469, 57315, 56650, 53200, 53885, 53200, 55551, 53200, 53711, 53200, 56175, 54944, 53664, 54663, 54942, 57661, 54942, 51030, 79970, 50379, 54176, 55221, 71800, 50887, 51468, 51039, 52546, 68133, 50863, 51544, 63851, 50863, 51361, 52683, 50895, 56321, 51833, 50835, 63664, 55218, 53200, 51041, 52875, 53200, 52207, 52546, 56156, 53200, 50930, 59207, 53200, 50880, 51762, 50453, 53664, 51421, 52920, 54942, 51421, 52683, 59426, 54942, 50893, 52105, 79970, 50378, 54176, 55221, 55663, 50887, 51842, 50420, 54619, 51864, 69062, 51510, 50863, 51544, 63851, 50837, 51361, 52546, 50895, 56321, 51750, 50835, 51658, 51179, 66085, 53200, 62442, 51468, 50443, 53200, 50890, 51180, 52546, 60635, 53200, 50961, 51618, 53057, 53200, 50887, 51762, 50453, 54324, 50858, 75936, 52756, 51594, 51903, 56046, 54942, 51167, 52261, 79970, 50378, 54176, 69075, 53070, 53200, 52189, 52546, 55133, 54942, 51235, 59195, 51471, 50429, 60945, 53200, 51508, 52546, 59873, 54942, 56795, 51833, 50829, 51658, 51179, 55384, 54324, 50887, 64864, 54324, 52207, 52546, 56156, 54324, 50890, 60899, 54324, 50930, 52105, 50453, 53200, 50887, 75936, 53664, 52153, 52546, 50883, 51621, 61994, 54942, 50880, 51755, 51392, 50378, 54176, 69006, 64336, 52546, 50883, 51510, 50863, 51544, 50820, 51532, 50837, 51361, 52546, 55135, 57936, 50829, 63664, 55218, 53200, 51041, 53114, 53200, 51135, 52683, 56156, 53200, 51041, 53068, 53200, 50930, 52105, 50453, 53664, 50890, 75936, 54942, 52304, 52546, 59426, 54942, 50936, 51762, 51755, 51392, 69979, 50841, 52021, 50806, 51164, 60874, 51033, 50872, 51379, 50939, 51167, 50417, 71800, 50840, 51842, 51039, 51903, 65003, 50836, 51510, 50837, 52021, 50887, 51164, 56667, 51471, 52021, 50949, 51164, 64063, 61387, 51031, 50939, 58146, 51468, 50848, 63219, 50839, 51361, 52683, 65003, 69263, 54487, 58018, 50835, 52021, 50949, 51164, 72315, 61387, 51010, 50939, 50949, 51658, 51179, 62660, 63219, 55604, 53200, 51135, 61215, 69263, 65858, 52616, 53200, 51864, 52546, 65810, 55029, 50924, 50939, 70343, 53200, 51864, 50839, 52021, 51379, 51164, 75500, 53200, 50930, 51931, 50848, 70495, 69395, 56328, 53664, 51421, 52920, 54942, 52304, 51903, 65003, 69263, 54359, 54942, 50893, 52105, 50848, 63877, 66848, 50839, 51755, 51392, 50378, 54176, 50846, 51171, 55963, 62009, 51033, 50847, 51354, 71709, 50417, 55663, 51179, 53070, 54619, 51508, 52546, 65003, 50836, 51510, 50837, 51171, 72526, 55447, 51471, 51171, 50884, 50988, 64063, 63671, 51031, 50939, 50949, 51532, 63570, 61574, 50839, 51361, 52546, 65971, 61574, 54487, 57936, 50835, 51171, 78669, 72315, 78457, 64728, 51031, 51658, 51179, 59162, 61574, 54704, 53200, 50887, 51468, 50848, 58178, 65858, 53044, 53200, 51864, 52546, 65810, 55305, 50924, 50939, 71097, 53200, 50880, 51762, 51171, 50967, 50988, 75500, 53200, 50858, 51762, 50848, 68277, 69395, 53532, 54324, 50924, 51762, 51453, 51903, 69914, 58178, 54991, 52756, 50936, 52105, 50848, 59947, 62956, 50834, 51755, 51392, 69979, 50828, 51751, 51388, 51037, 51014, 50979, 51379, 74433, 51402, 62238, 54942, 50924, 51039, 52683, 50883, 51037, 55946, 52756, 50948, 51842, 51751, 51045, 51544, 50820, 51037, 50961, 50979, 64478, 62753, 54942, 51370, 68972, 61574, 50839, 51361, 52546, 50883, 50979, 58178, 54487, 52756, 50940, 57936, 62168, 64910, 79858, 50828, 51658, 51179, 69263, 58875, 64562, 54942, 52831, 51468, 50885, 65969, 63752, 52616, 52756, 51864, 52683, 50895, 57212, 59949, 50850, 68577, 52756, 50890, 51762, 51164, 68280, 52756, 51739, 64202, 74865, 51735, 50850, 51932, 50453, 54324, 50890, 51471, 51164, 76999, 53200, 52304, 51903, 70180, 66376, 53200, 50930, 52105, 51755, 51392, 50378, 54176, 50846, 52021, 50806, 51164, 60164, 51033, 50872, 51354, 50939, 51379, 51402, 66032, 52683, 65003, 50836, 51510, 50863, 52021, 50880, 51164, 55447, 51471, 52021, 50949, 51164, 72315, 51031, 50872, 65413, 50961, 51532, 63570, 69263, 72793, 52546, 65003, 63219, 53908, 57936, 50835, 52021, 51031, 51164, 72315, 62925, 51010, 50939, 50949, 51658, 51239, 59162, 63877, 50839, 51572, 63570, 63219, 65858, 60930, 52546, 50884, 63245, 59949, 50939, 50936, 51618, 50820, 52021, 51379, 51164, 51483, 50450, 51762, 50848, 50803, 75603, 51647, 50820, 51453, 52546, 65003, 63219, 50839, 51621, 61585, 63219, 66848, 50834, 51755, 51392, 50378, 54176, 50835, 51171, 67933, 60164, 51045, 74433, 71709, 51402, 61044, 51903, 55767, 62072, 60660, 50855, 51510, 50371, 54176, 50884, 51171, 50890, 50988, 56667, 51471, 51171, 50949, 50988, 72315, 68579, 51031, 50939, 58146, 67177, 50374, 53967, 69903, 58178, 52925, 53200, 53710, 52683, 50385, 54176, 62660, 58178, 53908, 58018, 50835, 51171, 77728, 72315, 68579, 51010, 50939, 51031, 63664, 61585, 58178, 55698, 53200, 50924, 50441, 51468, 50848, 61574, 65858, 52616, 53200, 51864, 52546, 65003, 55305, 50924, 50939, 50936, 51618, 50820, 51171, 51167, 50988, 51354, 50448, 53200, 61326, 52105, 50848, 68277, 69395, 66250, 53200, 50936, 51931, 51453, 52546, 65003, 58178, 54625, 53200, 50936, 52105, 50848, 61574, 66848, 50820, 51755, 51392, 50379, 54176, 50835, 51751, 50976, 51037, 51033, 50979, 51483, 50847, 51354, 51402, 62238, 54942, 50880, 51039, 52546, 55767, 50374, 53967, 50834, 51037, 50855, 51510, 50371, 54176, 50818, 51751, 51045, 51544, 50834, 51037, 73760, 64478, 58860, 54942, 55104, 63966, 50374, 53967, 68972, 61574, 52925, 54942, 51049, 52683, 50386, 54176, 50841, 50979, 59947, 54487, 58018, 66175, 66307, 79858, 62586, 54324, 50830, 63664, 65969, 59203, 55218, 54324, 50890, 51468, 50885, 65969, 58875, 53044, 54324, 51421, 52546, 50884, 61377, 59949, 63224, 50447, 54324, 50887, 52105, 51164, 68280, 54324, 51179, 64937, 51014, 50872, 51735, 50850, 51932, 50453, 54324, 51179, 50829, 51164, 76999, 54324, 51508, 52546, 64832, 50942, 51621, 60880, 53200, 50940, 79970, 69979, 50829, 52021, 51624, 50297, 60164, 51014, 50872, 51354, 50939, 51167, 51402, 61044, 52683, 61213, 50376, 53967, 60660, 55155, 51248, 54176, 50818, 52021, 50880, 51164, 55447, 51471, 52021, 51031, 51164, 72315, 61387, 51031, 50939, 51031, 51532, 55519, 62072, 61215, 63877, 52417, 53200, 51421, 52546, 50385, 54176, 62660, 63219, 54606, 53200, 53841, 51750, 50835, 52021, 51031, 51164, 61597, 51031, 50872, 64728, 56262, 53664, 50924, 53552, 59162, 63219, 54704, 51468, 50848, 63877, 65858, 52616, 53200, 51049, 52546, 50895, 55688, 59949, 50939, 70343, 53664, 50948, 52105, 52021, 51167, 51164, 51483, 50450, 51762, 50848, 50950, 57386, 50939, 53532, 53200, 51049, 50834, 51453, 52546, 65003, 63219, 58544, 54942, 50924, 51621, 59162, 63219, 66848, 50839, 79970, 50379, 54176, 50829, 51751, 50976, 51037, 51014, 50979, 51354, 50847, 51354, 51402, 64336, 52546, 56459, 50374, 53967, 50834, 51037, 55946, 51248, 54176, 50818, 51751, 61177, 51471, 51037, 73760, 51010, 50847, 62753, 67177, 62072, 71141, 58178, 50839, 51361, 52683, 50385, 54176, 50839, 50979, 58178, 56802, 54942, 50940, 56321, 51750, 66175, 64910, 79858, 53116, 53664, 50865, 53552, 65969, 58875, 50839, 51572, 65622, 69263, 58875, 53044, 53664, 51421, 52683, 50895, 57212, 59949, 50850, 68577, 53664, 50887, 52105, 51164, 61208, 53664, 50952, 51762, 50885, 74865 ]
[ 0, 250, 20902, 8, 15352, 30054, 5175, 2125, 4246, 10, 13305, 483, 6, 7513, 30, 3459, 9590, 6, 20535, 2810, 6, 8, 31365, 6673, 6909, 4, 152, 765, 37903, 11, 274, 538, 34, 10, 1769, 20889, 8, 10, 1372, 6, 20425, 16464, 14, 115, 173, 157, 11, 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 ]	[ 58402, 51570, 50812, 52320, 50812, 50799, 51383, 58462, 57500, 57368, 51270, 60806, 55237, 55797, 51383, 61757, 57500, 52710, 51270, 55210, 55578, 53911, 51383, 61757, 57500, 53263, 51270, 66926, 55237, 54181, 51271, 51566, 50441, 51383, 61757, 57500, 52597, 51270, 55210, 55237, 54276, 53038, 50844, 51198, 50844, 51144, 50844, 51308, 50844, 51275, 50844, 51096, 50859, 51906, 50859, 51648, 50859, 51713, 50859, 52366, 50859, 54761, 50854, 52436, 53590, 80209, 57802, 71193, 52643, 53038, 50974, 51198, 50974, 51144, 50974, 51308, 50974, 51275, 50974, 51096, 51091, 51906, 50893, 51648, 50879, 51713, 50893, 52366, 50879, 54761, 50901, 52436, 50901, 52615, 52638, 58462, 55864, 50808, 65364, 51203, 51308, 50810, 51275, 51203, 78806, 52002, 50949, 51776, 50883, 53128, 50846, 52372, 50828, 52172, 50846, 51979, 53756, 59429, 60855, 55442, 68061, 51713, 50895, 51993, 50839, 51978, 69939, 51888, 50818, 51648, 50846, 52113, 50820, 51633, 50834, 52491, 50820, 52228, 56390, 51706, 50892, 51683, 50841, 51906, 50839, 51643, 50829, 51721, 50835, 52394, 50829, 53628, 55987, 50859, 50418, 51913, 50834, 51667, 50825, 53880, 61732, 51963, 50829, 51652, 50863, 54512, 53405, 51070, 58910, 51383, 55578, 74570, 52366, 50846, 52002, 50828, 51776, 50828, 54761, 50834, 53128, 50829, 52372, 50829, 52436, 50834, 52172, 50829, 51979, 56982, 51713, 50828, 51888, 50841, 51993, 50829, 52113, 50829, 51978, 50829, 52491, 52762, 51280, 50810, 51153, 50822, 51639, 50833, 52936, 50849, 52719, 50864, 51648, 50862, 51633, 50864, 52228, 54438, 59807, 55210, 57233, 51628, 51198, 50810, 80166, 51275, 50854, 52719, 50862, 51648, 50890, 51633, 50855, 52228, 67822, 55578, 60968, 51070, 53614, 51144, 50822, 51308, 50822, 65456, 52719, 50873, 51648, 50893, 51633, 50873, 52228, 50873, 51728, 52638, 54772, 55578, 56050, 51706, 53743, 51198, 50822, 52970, 50845, 52099, 50795, 52200, 50845, 52608, 50845, 51070, 60979, 51308, 67020, 55237, 52843, 51096, 51238, 52103, 50845, 51713, 50795, 51993, 50845, 51978, 50845, 51728, 51937, 61150, 55578, 55982, 51706, 50912, 51198, 53820, 51099, 50822, 51308, 50822, 52103, 50915, 51713, 50807, 51993, 50915, 51978, 50915, 51240, 55578, 57467, 51070, 50812, 65237, 50827, 51561, 50822, 51099, 50827, 65082, 51728, 52638, 54582, 55442, 59176, 51706, 50851, 51308, 57529, 54718, 51869, 50827, 51706, 50874, 51561, 50874, 51099, 50827, 51639, 50874, 52970, 50845, 52099, 50795, 52200, 50845, 52608, 50845, 51170, 55578, 58910, 80062, 51516, 65442, 57233, 53881, 50953, 51160, 52719, 50845, 76025, 51633, 50845, 52228, 50845, 51728, 51937, 54772, 57427, 52765, 51706, 50822, 51561, 50810, 51639, 55127, 54221, 51869, 50838, 51706, 50838, 80062, 51516, 50810, 52970, 50854, 52099, 50859, 52200, 50854, 52608, 59365, 55578, 60968, 51070, 53614, 51869, 50827, 51706, 50907, 51561, 50912, 51099, 50827, 72932, 51728, 52638, 66926, 57427, 56050, 51706, 50827, 51308, 53086, 51869, 50827, 51706, 50827, 51561, 50810, 51099, 50827, 51308, 50827, 51639, 50810, 51906, 50812, 52099, 50882, 51776, 50882, 52366, 50882, 54761, 50808, 52436, 57427, 60979, 51099, 50822, 51516, 67020, 55578, 52843, 51706, 50907, 51561, 50912, 51099, 50912, 51105, 51235, 51728, 51937, 54772, 57427, 55982, 51706, 50822, 51308, 53820, 51869, 50827, 51706, 50827, 51561, 50810, 51099, 50827, 51639, 50810, 51913, 50795, 51683, 50802, 51713, 50802, 52002, 50802, 53128, 50795, 52172, 75540, 55578, 57467, 80062, 51516, 55127, 50812, 64680, 50810, 51144, 50810, 51119, 50810, 63283, 51963, 50846, 51776, 51031, 52372, 50818, 51979, 52816, 59429, 60855, 55624, 68061, 52103, 50828, 51713, 50961, 52851, 50841, 51888, 50883, 51993, 50828, 52113, 50828, 51978, 50828, 52491, 65334, 52719, 50841, 51648, 50883, 52664, 50839, 51683, 50895, 51633, 50841, 51643, 50839, 52228, 50841, 52394, 55926, 51280, 50874, 51153, 50874, 54295, 50839, 51906, 50884, 55912, 50820, 51913, 50818, 51721, 50839, 51643, 50836, 51667, 50820, 53628, 50839, 51978, 50836, 53880, 54763, 54681, 51708, 50844, 51280, 50844, 51144, 50827, 51435, 50827, 51993, 50812, 52172, 55300, 57233, 58910, 51119, 50892, 51578, 50892, 52372, 50812, 52380, 67713, 55237, 53881, 51011, 51116, 54061, 50800, 53786, 51730, 59807, 61150, 57427, 52765, 51280, 50874, 51153, 50874, 53128, 50836, 53493, 53695, 51708, 50844, 51280, 50827, 51144, 50827, 51119, 50827, 51435, 50827, 51993, 50809, 52380, 56247, 55578, 51022, 50434, 52366, 58742, 52002, 54261, 68522, 51776, 50895, 51713, 59653, 51888, 50818, 51648, 53442, 51708, 50810, 51144, 50810, 51119, 50810, 51435, 50810, 61269, 52664, 50901, 51683, 50879, 51643, 50901, 52394, 50901, 51728, 52638, 57488, 57427, 56050, 51280, 50827, 51153, 53086, 51708, 50844, 51280, 50844, 51144, 50827, 51119, 50844, 51435, 50827, 52719, 50805, 51648, 50923, 51633, 50805, 52228, 50805, 51070, 60979, 51119, 50905, 51578, 50905, 51383, 57233, 52843, 55436, 52970, 50805, 52099, 50923, 52200, 50795, 52608, 51428, 59807, 54772, 57427, 55982, 51280, 50810, 51153, 52863, 51706, 50981, 51198, 51115, 51144, 51115, 51096, 51364, 52970, 50889, 52099, 51054, 52200, 50889, 52608, 50889, 51240, 55237, 57467, 51070, 50812, 51528, 59429, 54582, 55442, 59176, 51170, 51835, 51144, 50901, 52103, 50849, 51713, 50806, 51993, 50849, 51978, 75469, 55237, 58910, 51383, 55237, 53881, 51706, 50845, 52664, 50892, 51683, 50805, 51643, 50845, 52394, 50845, 51728, 51937, 61150, 57427, 51628, 51708, 51295, 51280, 51003, 51144, 51310, 51069, 51364, 52719, 50849, 51648, 50806, 51633, 50849, 52228, 50849, 51240, 55237, 60968, 51070, 50844, 51450, 59429, 54772, 55237, 53247, 51144, 50892, 51683, 50901, 52306, 50893, 56056, 50873, 52380, 50873, 51070, 60979, 51383, 57233, 52843, 51708, 50905, 51913, 50845, 52002, 50879, 53128, 50901, 52172, 50901, 51728, 51937, 54772, 55237, 52935, 51706, 50915, 51198, 50981, 51099, 50995, 51443, 50983, 51906, 50805, 52366, 50923, 54761, 50795, 52436, 75540, 55237, 57467, 51070, 50812, 50799, 51913, 50841, 52002, 54162, 59429, 60855, 55442, 68061, 51963, 50839, 51776, 70426, 52103, 50820, 51713, 50818, 52851, 50834, 51888, 55927, 52719, 50834, 51648, 50828, 52664, 50829, 51683, 50841, 51652, 50855, 52228, 67153, 50859, 50418, 54295, 50835, 51906, 50841, 55912, 50825, 51913, 50839, 55282, 50825, 51963, 52761, 51198, 50892, 51099, 50838, 75434, 51275, 50838, 51721, 50844, 51979, 56320, 58910, 51706, 50845, 51633, 50833, 52436, 50379, 52638, 55578, 53881, 65340, 53179, 50812, 53979, 52972, 59807, 55210, 57233, 52765, 52372, 50862, 52833, 54215, 51869, 50845, 51198, 50892, 51099, 50838, 75434, 51275, 50838, 51633, 50836, 52436, 59533, 55578, 60968, 51070, 53614, 62376, 51963, 50901, 51776, 50893, 52372, 50873, 51979, 50873, 51728, 52638, 54772, 55578, 53247, 51198, 50845, 51099, 50905, 75434, 51275, 50838, 51913, 50901, 52002, 50879, 53128, 50901, 52172, 50901, 51070, 60979, 51706, 80241, 55237, 52843, 50927, 51160, 51906, 50845, 52366, 50795, 54761, 50901, 52436, 50901, 51728, 51937, 61150, 55578, 52935, 51869, 50901, 51198, 50892, 51099, 50892, 75434, 51275, 50838, 51683, 50892, 52306, 50805, 56056, 50892, 52380, 50892, 51240, 55578, 57467, 51070, 50812, 65100, 50854, 63676, 51648, 50845, 52991, 50879, 58196, 50854, 52833, 55998, 50806, 51383, 54582 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 6, 42, 765, 2214, 15358, 10, 10064, 19, 63, 1769, 20889, 8, 204, 73, 306, 86, 6543, 4, 16241, 212, 3315, 8, 3459, 8669, 185, 1312, 1289, 6, 4094, 30, 10, 2705, 4811, 9, 21072, 8, 38668, 9590, 4, 8504, 11, 5, 762, 9, 163, 3694, 6, 24, 18, 10, 20902, 2125, 14, 18, 686, 7, 120, 5, 537, 554, 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, 52383, 56750, 50310, 52115, 55750, 58938, 52383, 52152, 66217, 52765, 58417, 51736, 51068, 52390, 66217, 52262, 51383, 51724, 52383, 56750, 50303, 52152, 66217, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 52042, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 50852, 51475, 52085, 52809, 52042, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 64377, 50795, 51366, 54490, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 52042, 50795, 51322, 56750, 50303, 52152, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 50807, 68404, 51428, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52042, 50795, 52998, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 74693, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 59090, 72751, 51475, 52085, 52809, 52383, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 71861, 50795, 51366, 50807, 59090, 52152, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 55750, 50991, 53005, 50800, 69282, 74693, 51322, 52152, 51475, 66217, 52085, 52765, 58417, 51370, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52383, 56750, 50303, 52152, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 52042, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 50852, 51475, 52085, 52809, 52042, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 64377, 50795, 51366, 54490, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 52042, 50795, 51322, 56750, 50303, 52152, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 50807, 68404, 51428, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52042, 50795, 52998, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 74693, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 59090, 72751, 51475, 52085, 52809, 52383, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 71861, 50795, 51366, 50807, 59090, 52152, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 55750, 50991, 53005, 50800, 69282, 74693, 51322, 52152, 51475, 66217, 52085, 52765, 58417, 51370, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52383, 56750, 50303, 52152, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 52042, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 50852, 51475, 52085, 52809, 52042, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 64377, 50795, 51366, 54490, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 52042, 50795, 51322, 56750, 50303, 52152, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 50807, 68404, 51428, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52042, 50795, 52998, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 74693, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 59090, 72751, 51475, 52085, 52809, 52383, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 71861, 50795, 51366, 50807, 59090, 52152, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 55750, 50991, 53005, 50800, 69282, 74693, 51322, 52152, 51475, 66217, 52085, 52765, 58417, 51370, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52383, 56750, 50303, 52152, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366 ]
[ 0, 250, 33928, 8, 33558, 5175, 3495, 2214, 4246, 10, 13305, 6, 38668, 22052, 6, 930, 2233, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 8504, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 33215, 16739, 9, 211, 6, 274, 10431, 119, 6, 163, 6, 8, 3676, 406, 3639, 7, 63, 17627, 17274, 8, 15352, 30054, 2574, 6, 442, 24, 41, 11653, 2365, 1349, 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, 50417, 50631, 56236, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 63055, 54031, 51860, 50866, 51404, 50846, 52074, 53871, 53109, 51404, 50846, 52074, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 53439, 51404, 50846, 52074, 53442, 51512, 50806, 51375, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52398, 54581, 52878, 51119, 50806, 51113, 50893, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 54187, 53528, 51404, 50846, 52074, 53533, 51429, 50806, 51357, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52252, 54581, 52738, 51489, 50896, 51266, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 58249, 54026, 51404, 50846, 52074, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51512, 50896, 51375, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52398, 58249, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51119, 50896, 51113, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 58249, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 51429, 50896, 51357, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52252, 58249, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52738, 52040, 52570, 51232, 52570, 51494, 52570, 51119, 52024, 51266, 53073, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 53073, 50798, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 51860, 50866, 51404, 50846, 52074, 53871, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52738, 51860, 50866, 51404, 50846, 52074, 53871, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 52669, 50866, 51404, 50846, 52074, 53871, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 52413, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 50828, 53061, 52738, 52669, 50866, 51404, 50846, 52074, 54499, 57735, 52023, 54943, 51404, 50846, 52074, 54499, 60112, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 63055, 54031, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51512, 50806, 51375, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52398, 54581, 52878, 51119, 50806, 51113, 50893, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 54187, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51429, 50806, 51357, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52252, 54581, 52738, 51489, 50896, 51266, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 58249, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51512, 50896, 51375, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52398, 58249, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51119, 50896, 51113, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 58249, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 51429, 50896, 51357, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52252, 58249, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52738, 51584, 51492, 51902, 52570, 52170, 51732, 52075, 51732, 52040, 52570, 51232, 52570, 51494, 52570, 51119, 52024, 51266, 53501, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 53501, 50798, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 60336, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54694, 56939, 52559, 52487, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 52405, 50808, 51404, 50846, 52074, 61385, 52023, 53442, 56939, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54735, 52487, 52711, 52405, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57013, 52023, 55354, 51384, 50808, 51404, 50846, 52074, 63865, 52023, 53533, 56939, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54363, 52487, 52643, 51733, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57077, 52023, 54943, 51905, 50808, 51404, 50846, 52074, 61698, 52023, 50846, 50799, 52487, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 55221, 52405, 52734, 51384, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51284, 50808, 51404, 50846, 52074, 60955, 52023, 53855, 52405, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54694, 51384, 52559, 51558, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51600, 50808, 51404, 50846, 52074, 61385, 52023, 53442, 51733, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54735, 51905, 52711, 51284, 50808, 52669, 50866, 51404, 50846, 52074, 65163, 61722, 52023, 55354, 51266, 50808, 51404, 50846, 52074, 65163, 66119, 52023, 53533, 51384, 50808, 52413, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 51224, 56246, 51558, 52643, 51629, 50808, 52669, 50866, 51404, 50846, 52074, 71686, 61612, 52023, 54943, 51266, 50808, 51404, 50846, 52074, 61698, 52023, 50846, 50799, 51512, 51274, 51266, 51141, 51875, 51141, 52398, 51141, 52295, 57394, 60008, 50825, 63810, 50889, 72008, 57908, 62527, 50805, 50661, 50344, 54259, 51494, 51274, 51266, 51141, 52426, 51141, 52582, 51141, 52295, 57394, 60008, 50825, 58749, 50889, 80215, 58141, 62527, 50805, 50661, 50344, 54230, 51232, 51685, 51266, 53363, 52593, 53363, 52091, 53363, 52295, 53363, 50798, 60008, 50825, 56318, 53363, 66076, 53380, 57752, 52944, 60712, 52472, 52872, 55655, 52472, 53575, 52929, 50896, 52778, 50896, 57473, 50896, 53008, 55633, 50825, 51450, 53114, 52929, 51274, 53629, 51274, 54513, 51274, 52812 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 2060, 538, 6, 4246, 10, 15352, 30054, 13305, 516, 81, 10, 1769, 204, 73, 306, 20889, 6, 19, 10, 11602, 9, 15073, 24018, 5, 1374, 1372, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51050, 56798, 59223, 60449, 51050, 61840, 50811, 50931, 52968, 51050, 56798, 59223, 59898, 51050, 61840, 50811, 50951, 52952, 51050, 56798, 69854, 50993, 50446, 51050, 61840, 52768, 51050, 56798, 65531, 59868, 51050, 61840, 50811, 51147, 50811, 57497, 75465, 59223, 60449, 51360, 50811, 51040, 50811, 50931, 51973, 51360, 75465, 59223, 57925, 50951, 56861, 51360, 50811, 51040, 50811, 50951, 53925, 51360, 75465, 69854, 61409, 51360, 50811, 51040, 50811, 51147, 52116, 51360, 75465, 65531, 59868, 51360, 50811, 51040, 50811, 62721, 55881, 67898, 65531, 60449, 51197, 69990, 50811, 51081, 51973, 51197, 67898, 69854, 59898, 51197, 69990, 50811, 50931, 52057, 51197, 67898, 60253, 50993, 50446, 51197, 69990, 52768, 51197, 67898, 69854, 59868, 51197, 69990, 50811, 66740, 57497, 75465, 69854, 60449, 51360, 50811, 51040, 50811, 51147, 51973, 51360, 75465, 60253, 59898, 51360, 50811, 51040, 50811, 51001, 52057, 51360, 75465, 59223, 50993, 50446, 51360, 50811, 51040, 55059, 51001, 52116, 51360, 75465, 69854, 59154, 51147, 58150, 51360, 50811, 51040, 50811, 62678, 54197, 56798, 59223, 60449, 51050, 61840, 50811, 50931, 52968, 51050, 56798, 59223, 59898, 51050, 61840, 50811, 50951, 52952, 51050, 56798, 69854, 50993, 50446, 51050, 61840, 52768, 51050, 56798, 65531, 59868, 51050, 61840, 50811, 51147, 50811, 57497, 75465, 59223, 60449, 51360, 50811, 51040, 50811, 50931, 51973, 51360, 75465, 59223, 57925, 50951, 56861, 51360, 50811, 51040, 50811, 50951, 53925, 51360, 75465, 69854, 61409, 51360, 50811, 51040, 50811, 51147, 52116, 51360, 75465, 65531, 59868, 51360, 50811, 51040, 50811, 62721, 55881, 67898, 65531, 60449, 51197, 69990, 50811, 51081, 51973, 51197, 67898, 69854, 59898, 51197, 69990, 50811, 50931, 52057, 51197, 67898, 60253, 50993, 50446, 51197, 69990, 52768, 51197, 67898, 69854, 59868, 51197, 69990, 50811, 51147, 50803, 54197, 56798, 65531, 60449, 51050, 61840, 50811, 51081, 51973, 51050, 56798, 64244, 59898, 51050, 61840, 50811, 51399, 52057, 51050, 56798, 64244, 50993, 50446, 51050, 61840, 55059, 51081, 52116, 51050, 56798, 69854, 59868, 51050, 61840, 50811, 62678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3152, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 30587, 29589, 6, 18558, 18046, 6, 21072, 6, 3459, 9590, 6, 8, 21979, 8669, 4, 20, 20889, 16, 278, 23, 41, 20425, 12447, 1001, 11, 204, 73, 306, 86, 6, 8, 5, 762, 16, 230, 538, 4, 20, 33215, 16739, 9, 381, 6, 272, 6, 274, 6, 381, 6, 272, 31473, 41, 9066, 8, 8728, 619, 7, 42, 1349, 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 ]	[ 54458, 51688, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 62193, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 62193, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 62193, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 60652, 51538, 51278, 51538, 51046, 68801, 60105, 50889, 51785, 78907, 51553, 63692, 51553, 57050, 51553, 59955, 51553, 53705, 51553, 58322, 51553, 56579, 51553, 58566, 51553, 53891, 51456, 63608, 51456, 58545, 51456, 59503, 51456, 54305, 51456, 59137, 51456, 56518, 51456, 58432, 51456, 54086, 72218, 60993, 51046, 53769, 60105, 50889, 51785, 50889, 60652, 51264, 51278, 51264, 51046, 61113, 60105, 50889, 51785, 51264, 50426, 51224, 63692, 51224, 57050, 51224, 59955, 51224, 53705, 51224, 58322, 51224, 56579, 51224, 58566, 51224, 53891, 51326, 63608, 51326, 58545, 51326, 59503, 51326, 54305, 51326, 59137, 51326, 56518, 51326, 58432, 51326, 54086, 51326, 64703, 51326, 57168, 51326, 62802, 51326, 54199, 50804, 50808, 52198, 50808, 50799, 51611, 51264, 51222, 51264, 51348, 61113, 51264, 51206, 51264, 52237, 51264, 51632, 51264, 50799, 51611, 51538, 51222, 51538, 51063, 68801, 51264, 51206, 51264, 52237, 51264, 51598, 51264, 50450, 73445, 60652, 51538, 51278, 51538, 51046, 68801, 60105, 50889, 51785, 78907, 51553, 63692, 51553, 57050, 51553, 59955, 51553, 53705, 51553, 58322, 51553, 56579, 51553, 58566, 51553, 53891, 51456, 63608, 51456, 58545, 51456, 59503, 51456, 54305, 51456, 59137, 51456, 56518, 51456, 58432, 51456, 54086, 72218, 60993, 51046, 53769, 60105, 50889, 51785, 50889, 60652, 51264, 51278, 51264, 51046, 61113, 60105, 50889, 51785, 51264, 50426, 51224, 63692, 51224, 57050, 51224, 59955, 51224, 53705, 51224, 58322, 51224, 56579, 51224, 58566, 51224, 53891, 51326, 63608, 51326, 58545, 51326, 59503, 51326, 54305, 51326, 59137, 51326, 56518, 51326, 58432, 51326, 54086, 51326, 64703, 51326, 57168, 51326, 62802, 51326, 54199, 50804, 50808, 52198, 50808, 50799, 51611, 51264, 51222, 51264, 51348, 61113, 51264, 51206, 51264, 52237, 51264, 51632, 51264, 50799, 51611, 51538, 51222, 51538, 51063, 68801, 51264, 51206, 51264, 52237, 51264, 51598, 51264, 50450, 73445, 50799, 51219, 50910, 51296, 51095, 51046, 51095, 52243, 50411, 51206, 53090, 51335, 53090, 51785, 52024, 50418, 51219, 60853, 51296, 50910, 74316, 51219, 56382, 51219, 50910, 51296, 51095, 51046, 51095, 50430, 51219, 58877, 51296, 50910, 74316, 51219, 56983, 51219, 50910, 51296, 51095, 51046, 51095, 50442, 51219, 64482, 51296, 50910, 74316, 51219, 57006, 51348, 50910, 51344, 50910, 51296, 51095, 50454, 74316, 51219, 62990, 51296, 50910, 65474, 73492, 50799, 51219, 50910, 51296, 51095, 51046, 51095, 50418, 51219, 60853, 51296, 50910, 74316, 51219, 56382, 51219, 50910, 51296, 51095, 51046, 51095, 50430, 51219, 58877, 51296, 50910, 74316, 51219, 56983, 51219, 50910, 51296, 51095, 51046, 51095, 51335, 63608, 51335, 58545, 51335, 63397, 51219, 50910, 50443, 51335, 54305, 51335, 60812, 51296, 50910, 74316, 51219, 50910, 51335, 56518, 51335, 60062, 51335, 54086, 74316, 51219, 50910, 51296, 51095, 51335, 66056, 51335, 57168, 51335, 61192, 51219, 50910, 50455, 51335, 54199, 51335, 61996, 51296, 50910, 74316, 51219, 50910, 51335, 57400, 51335, 59854, 51335, 50857, 50799, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 79171, 51335, 59240, 51335, 65149, 51143, 50910, 50419, 51335, 54657, 51335, 60342, 51386, 50910, 65474, 51143, 50910, 51335, 56133, 51335, 60811, 51335, 53383, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 66765, 51335, 57050, 51335, 60155, 51143, 50910, 50431, 51335, 53705, 51335, 59880, 51386, 50910, 65474, 51143, 50910, 51335, 56579, 51335, 59701, 51335, 53891, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 67203, 51335, 58545, 51335, 63397, 51143, 50910, 50443, 51335, 54305, 51335, 60812, 51386, 50910, 65474, 51143, 50910, 51335, 56518, 51335, 60062, 51335, 54086, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 66056, 51335, 57168, 51335, 61192, 51143, 50910, 50455, 51335, 54199, 51335, 61996, 51386, 50910, 65474, 51143, 50910, 51335, 57400, 51335, 59854, 51335, 50857, 50799, 51348, 50910, 51611, 51095, 51222, 51095, 50418, 51348, 60853, 51611, 76332, 50910, 51348, 56382 ]
[ 0, 713, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 16, 10, 15352, 30054, 8, 33558, 2125, 14, 7630, 6568, 10, 3366, 219, 6, 2365, 5466, 4, 85, 1575, 41, 27636, 3344, 9, 9571, 6, 217, 41, 21979, 8669, 6, 32909, 6, 10170, 1499, 6, 2236, 1021, 2678, 29, 6, 8, 17465, 102, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 19, 5, 40286, 163, 428, 8, 274, 406, 442, 12577, 4961, 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 ]	[ 56103, 50437, 50632, 50796, 60859, 52600, 50903, 50820, 60859, 50820, 51768, 52600, 50903, 52725, 51723, 50795, 51485, 62355, 51723, 50841, 51485, 50841, 69494, 50961, 51485, 50887, 54017, 50894, 51988, 50837, 51666, 50825, 51691, 50837, 51186, 55024, 51437, 57639, 52532, 56127, 51988, 50863, 51666, 50835, 51691, 52300, 52944, 51037, 56814, 66307, 50887, 51988, 50917, 51666, 50924, 51691, 52744, 53607, 53109, 53689, 50828, 52334, 52245, 52641, 53689, 50840, 52334, 50836, 55129, 50894, 51988, 50886, 51666, 50829, 51691, 50829, 50945, 54698, 51239, 52702, 53934, 52502, 54974, 51988, 50886, 76271, 51691, 52543, 53031, 53689, 50846, 52334, 50828, 51037, 63694, 62269, 50890, 51988, 50910, 51666, 50940, 51691, 55043, 53607, 50825, 53198, 52742, 53689, 50887, 52334, 50818, 54017, 50894, 51988, 50829, 51666, 50820, 75366, 51186, 55024, 51437, 53607, 54905, 51988, 50904, 51666, 50829, 51691, 52373, 53114, 53689, 50809, 52334, 50884, 51037, 69993, 71260, 50961, 51988, 50910, 51666, 50940, 51691, 55110, 53607, 53528, 50913, 52743, 51723, 50883, 51485, 50961, 55129, 50962, 51988, 50835, 51666, 50820, 51691, 50834, 50945, 55714, 51239, 52702, 53934, 52502, 54781, 51988, 50835, 51666, 50834, 51691, 52703, 53217, 51485, 50883, 51509, 50930, 54017, 50962, 51037, 63694, 70336, 50884, 51988, 50830, 51666, 50924, 51691, 50917, 51186, 52374, 53607, 50825, 53341, 50825, 64996, 50976, 52067, 51173, 53942, 50962, 51873, 50834, 52393, 50837, 52183, 50818, 72449, 51133, 55461, 51437, 52087, 56127, 51873, 50904, 64718, 51691, 52532, 52944, 55129, 50962, 50946, 50887, 50979, 50962, 50872, 50883, 51873, 50937, 52183, 50952, 51691, 50830, 50945, 52374, 52087, 53109, 51641, 50840, 51579, 55063, 52641, 51485, 50890, 51509, 50890, 55216, 50962, 51873, 50834, 64718, 51691, 50820, 50953, 55714, 51239, 51695, 53934, 52502, 54974, 52183, 50834, 51873, 50837, 51691, 52543, 53031, 51431, 50940, 51641, 50921, 56435, 50962, 50946, 50887, 50979, 50962, 50872, 50890, 51873, 50878, 52183, 50910, 51691, 50897, 51011, 52374, 52087, 50825, 53198, 52742, 51723, 50882, 51485, 50950, 54017, 50962, 51037, 51010, 50848, 51031, 50872, 50949, 51988, 50887, 51666, 50884, 51691, 70737, 55461, 51437, 52087, 50825, 53491, 75164, 52087, 53528, 50913, 52743, 55129, 50962, 51164, 59274, 51379, 52498, 51100, 51691, 50991, 52077, 51286, 52088, 51505, 52086, 51192, 50945, 55714, 51239, 51695, 53934, 52502, 50825, 54599, 50825, 51453, 52087, 54026, 52088, 50880, 52086, 50962, 52077, 54497, 50825, 50799, 54017, 50962, 51988, 50820, 76271, 64327, 52077, 50803, 52086, 50803, 52088, 50803, 51186, 55461, 51437, 57639, 52532, 56127, 51691, 52300, 52944, 51037, 63694, 51031, 50872, 50895, 51988, 50800, 51666, 50859, 51691, 52189, 53607, 53109, 50913, 59768, 52517, 51031, 55161, 50817, 52088, 60517, 52088, 56382, 55129, 50962, 51988, 50837, 51691, 50829, 51666, 50835, 52517, 50800, 55161, 50808, 50945, 55714, 51239, 52702, 53934, 52502, 54974, 51988, 50837, 51666, 50834, 51691, 52535, 53031, 51037, 65003, 62925, 50883, 51666, 50952, 51988, 50897, 51691, 50830, 52088, 50880, 55161, 50880, 52517, 51130, 53607, 50825, 53198, 52742, 54017, 50962, 51988, 50837, 51666, 50820, 51691, 50829, 55161, 50890, 52088, 50890, 52517, 50883, 51186, 55461, 51437, 53607, 54905, 51988, 50825, 51666, 50834, 51691, 52535, 53114, 51037, 65810, 70336, 50895, 51988, 50917, 51666, 50940, 51691, 50910, 55161, 50890, 52088, 50890, 52517, 51135, 53607, 53528, 50913, 52743, 55129, 50962, 51666, 50834, 51691, 50834, 51988, 50835, 52517, 50895, 52088, 50883, 52077, 50930, 50945, 55714, 51239, 52702, 53934, 52502, 54781, 51988, 50835, 51666, 50834, 51691, 52543, 53217, 54017, 50962, 50872, 50961, 51037, 65003, 50961, 51988, 50910, 51666, 50924, 51691, 50865, 52088, 50961, 52077, 50817, 52086, 50949, 51186, 52374, 53607, 50825, 53341, 50825, 50799, 53942, 50894, 51873, 50825, 52183, 50835, 51691, 50829, 51882, 51460, 51855, 51427, 52561, 50993, 51133, 55024, 51437, 52087, 56127, 51873, 50870, 52183, 50837, 51691, 52373, 52944, 50946, 66846, 61387, 50884, 51873, 50937, 52183, 50940, 51691, 52744, 52087, 53109, 50913, 52641, 55129, 50962, 51873, 50863, 52183, 50829, 51691, 50825, 51813, 50880, 52914, 50930, 52077, 50949, 50945, 55714, 51239, 51695, 53934, 52502, 54974, 51873, 50863, 52183, 50820, 51691, 52373, 53031, 50946, 72138, 71260, 50895, 51873, 50937, 52183, 50940, 51691, 52744, 52087, 57004, 52088, 50961, 51855, 50961, 52086, 50949, 52655, 50839, 53198, 52742, 53942, 50962, 51873, 50825, 64718, 51691, 50834, 51133, 55461, 51437, 52087, 56819, 51855, 51552, 53216, 51552, 51882, 51761, 50441, 51873, 50837, 64718, 51691, 52543, 53114, 50946, 50887, 50979, 61387, 50895, 51873, 50866, 52183, 50948, 51691, 52744, 52087, 53528, 50913, 52743, 55129, 50962, 51873, 50870, 52183, 50829, 51691, 50837, 50945, 55714, 51239, 51695, 53934, 52502, 54781, 51873, 51004, 52183, 50829, 51691, 52300, 53217, 50946, 72583, 51031, 50872, 50883, 51873, 50917, 52183, 50940, 51691, 50940, 52393, 51539, 52087, 50825, 53341, 50825, 50799, 53942, 50962, 51873, 50870, 52183, 50834, 51691, 50825, 51133, 55461, 51437, 52087, 55916, 51882, 50975, 51855, 50975, 52561, 50976, 50417, 52183, 50829, 51873, 51004, 51691, 52680, 52944, 50946, 72583, 51031, 50872, 51010, 51873, 50897, 52183, 50952, 51691, 55110, 52087, 53109, 50913, 52641, 55129, 50962, 51873, 50908, 52183, 50820, 51691, 50825, 50945, 55714, 51239, 51695, 53934, 52502, 58245, 51813, 50949, 52077, 50949, 52914, 50949, 52642, 55739, 51873, 50837, 52183, 50834, 51691, 52373, 53031, 50946, 72583, 51031, 50872, 50883, 51873, 50917, 52183, 51030, 51691, 50921, 52077, 50962, 52642, 50818, 52088, 50809, 51813, 51179, 52087, 57004, 52086, 50884, 53198, 52742, 53942, 50962, 51873, 50863, 52183, 50820, 51691, 50835, 51133, 55461, 51437, 52087, 56819, 51882, 51364, 53216, 51029, 51855, 51761, 52077, 51031, 52655, 56650, 51873, 50908, 52183, 50835, 51691, 52300, 53114, 55129, 50962, 50946, 50883, 50979, 62925, 50883, 51873, 50937, 52183, 50921, 52393, 50870, 51691, 50940, 50945, 52374, 52087, 53528, 50913, 52743, 55216, 50894, 52183, 50829, 51691, 50834, 51873, 50891, 50953, 54698, 51239, 51695, 53934, 52502, 54781, 51873, 50891, 52183, 50829, 51691, 52543, 53217, 56435, 50962, 50946, 50883, 50979, 62925, 50949, 51873, 50925, 52183, 50952, 51691, 50830, 51011, 52374, 52087, 50825, 53341, 50825, 50799, 54017, 50962, 51988, 50870, 51666, 50825, 51691, 50825, 51186, 55461, 51437, 52087, 55916, 52914, 51427, 51813, 51160, 51855, 51460, 53214, 52944, 51037, 70689, 71260, 50961, 51988, 50917, 51666, 50938, 51691, 56022, 52087, 53109, 50913, 52641, 55129, 50962, 51988, 50837, 51666, 50835, 51691, 50835, 50945, 55714, 51239, 51695, 53934, 52502, 58245, 52088, 50880, 52086, 50930, 52077, 54396, 51988, 50908, 51666, 50837, 51691, 52300, 53031, 51037, 70336, 65003, 50949, 51988, 50917, 51666, 50952, 51691, 55110, 52087, 57004, 51855, 50808, 51882, 50812, 53216, 50809, 53198, 52742, 54017, 50962, 51988, 50863, 51666, 50835, 51691, 50835, 51186, 55461, 51437, 52087, 56819, 52517, 51388, 52088, 50976, 52077, 51354, 50441, 51988, 50863, 51666, 50825, 51691, 52300, 53114, 51037, 69914, 71260, 50961, 51988, 50910, 51666, 50940, 51691 ]
[ 0, 250, 8787, 5175, 15229, 11, 211, 3694, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 38668, 9590, 6, 38668, 483, 6, 8, 21072, 6, 30853, 23, 10, 7212, 20889, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 52, 9419, 561, 15352, 30054, 8, 20425, 4785, 6, 150, 67, 7630, 14805, 10, 1472, 9, 26545, 8, 12577, 15073, 4, 20, 33215, 16739, 9, 211, 119, 6, 230, 10431, 37152, 6, 211, 119, 6, 8, 83, 406, 3872, 4668, 1328, 6, 1271, 7, 63, 13363, 28191, 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 ]	[ 54458, 50796, 50796, 78936, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 51210, 50939, 51210, 51007, 51210, 50420, 50847, 51126, 50939, 51126, 51007, 64367, 51699, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 52518, 50939, 52518, 51007, 52518, 50432, 52776, 53601, 51699, 56082, 51299, 56082, 51491, 56082, 51113, 56082, 51093, 56082, 50944, 57771, 50850, 57771, 50909, 57771, 50953, 52737, 50796, 78936, 50882, 51299, 50882, 51491, 50882, 51113, 50882, 51093, 69542, 51210, 65580, 50909, 51210, 50953, 52410, 50944, 51126, 50850, 51126, 50909, 64367, 51699, 50882, 51299, 50882, 51491, 50882, 51113, 50882, 51093, 69542, 52518, 50850, 52518, 50909, 52518, 50953, 52030, 52776, 57676, 51699, 56082, 51638, 56082, 51251, 56082, 51088, 56082, 51165, 56082, 50848, 57771, 50847, 57771, 50939, 57771, 50953, 52737, 50796, 78936, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 51210, 50939, 51210, 51007, 51210, 50953, 52410, 50847, 51126, 50939, 51126, 51007, 64367, 51699, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 52518, 50939, 52518, 51007, 52518, 50953, 52030, 52776, 53601, 51699, 56082, 51299, 56082, 51491, 56082, 51113, 56082, 51093, 56082, 50944, 57771, 50850, 57771, 50909, 57771, 50953, 52737, 50796, 78936, 50882, 51251, 50882, 51491, 50882, 51113, 50882, 51093, 69542, 51210, 65580, 50909, 51210, 50953, 52410, 50944, 51126, 50850, 51126, 50909, 64367, 51699, 50882, 51251, 50882, 51491, 50882, 51113, 69542, 52518, 50850, 52518, 50909, 52518, 50953, 52030, 52776, 57676, 51699, 57676, 51638, 57676, 51251, 57676, 51088, 57676, 50848, 57771, 50847, 57771, 50939, 57771, 50953, 52737, 50796, 50799, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 55850, 55146, 50823, 51402, 59608, 50962, 52399, 55155, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53955, 54300, 52197, 54300, 52253, 54300, 50953, 52737, 50843, 59533, 50930, 51556, 62468, 56341, 69158, 66215, 72537, 50843, 62073, 55146, 50823, 54268, 50836, 54032, 55932, 66697, 72361, 69693, 52574, 51586, 56604, 50944, 51642, 80134, 50909, 51642, 50843, 59453, 56606, 50823, 54710, 54583, 50852, 56247, 54871, 51240, 50811, 71755, 57248, 62707, 61724, 62073, 55719, 50823, 51402, 50840, 52399, 55155, 70257, 74501, 50909, 58043, 68194, 56667, 72745, 67555, 50909, 61551, 62073, 55060, 50823, 53764, 53810, 50848, 52347, 50310, 61886, 51074, 51340, 51613, 61023, 50843, 62468, 60364, 50944, 51051, 74365, 50909, 51051, 50843, 62073, 55719, 50823, 51572, 50836, 54032, 55932, 69082, 61859, 50909, 57323, 59453, 57887, 50944, 51381, 50850, 51381, 50909, 51381, 50843, 59453, 52279, 50823, 54710, 54583, 74502, 50799, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 55850, 55146, 50823, 53440, 59608, 79621, 55155, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53367, 54484, 52464, 54484, 52685, 54484, 50953, 52737, 51340, 51613, 61023, 50843, 62468, 56341, 62832, 50939, 51174, 51007, 51174, 50843, 62073, 55146, 50823, 54268, 50836, 51180, 55932, 60697, 70492, 51007, 55681, 59453, 56604, 50847, 51309, 50939, 51309, 51007, 51309, 50843, 59453, 56606, 50823, 54710, 50855, 51453, 56247, 54871, 50843, 67822, 50811, 64170, 63666, 67814, 55468, 62073, 55719, 50823, 53440, 71417, 55155, 63413, 50939, 50904, 51007, 58043, 68194, 56667, 63413, 50939, 50904, 51007, 58043, 62073, 55060, 50823, 53764, 53810, 57884, 57578, 50939, 56395, 59533, 61023, 69370, 50939, 51589, 62468, 60364, 64957, 70991, 51007, 67600, 62073, 55719, 50823, 54268, 50836, 54032, 55932, 50847, 51126, 50939, 51126, 51007, 51126, 52574, 51586, 57887, 50847, 52011, 50939, 52011, 51007, 52011, 50843, 59453, 52279, 50823, 54710, 54583, 74502, 50799, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 55850, 55146, 50823, 51402, 59608, 50962, 52399, 55155, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53955, 54300, 52197, 54300, 52253, 54300, 50953, 52737, 50843, 59533, 50930, 51556, 62468, 56341, 69158, 66215, 72537, 50843, 62073, 55146, 50823, 54268, 50836, 54032, 55932, 66697, 72361, 69693, 52574, 51586, 56604, 50944, 51642, 80134, 50909, 51642, 50843, 59453, 56606, 50823, 54710, 54583, 50852, 56247, 54871, 51240, 50811, 71755, 57248, 62707, 61724, 62073, 55719, 50823, 51402, 50840, 52399, 55155, 70257, 74501, 50909, 58043, 68194, 56667, 72745, 67555, 50909, 61551, 62073, 55060, 50823, 53764, 53810, 50848, 52347, 50310, 61886, 51074, 51340, 51613, 61023, 50843, 62468, 60364, 50944, 51051, 74365, 50909, 51051, 50843, 62073, 55719, 50823, 51572, 50836, 54032, 55932, 69082, 61859, 50909, 57323, 59453, 57887, 50944, 51381, 50850, 51381, 50909, 51381, 50843, 59453, 52279, 50823, 54710, 54583, 74502, 50799, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 55850, 55146, 50823, 53440, 59608, 79621, 55155, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53367, 54484, 52464, 54484, 52685, 54527, 50953, 52737, 51340, 51613, 61023, 50843, 62468, 56341, 62832, 50939, 51174, 51007, 51174, 50843, 62073, 55146, 50823, 54268, 50836, 51180, 55932, 60697, 70492, 51007, 55681, 59453, 56604, 50847, 51309, 50939, 51309, 51007, 51309, 50843, 59453, 56606, 50823, 54710, 50855, 51453, 56247, 54871, 50843, 67822, 50811, 64170, 63666, 67814, 55468, 62073, 55719, 50823, 53440, 71417, 55155, 63413, 50939, 50904, 51007, 58043, 68194, 56667, 63413, 50939, 50904, 51007, 58043, 62073, 55060, 50823, 53764, 53810, 57884, 57578, 50939, 56395, 59533, 61023, 69370, 50939, 51589, 62468, 60364, 64957, 70991, 51007, 67600, 62073, 55719, 50823, 54268, 50836, 54032, 55932, 50847, 51126, 50939, 51126, 51007, 51126, 52574, 51586, 57887, 52685, 51354, 50847, 52011, 50939, 52011, 51007, 52011, 50843, 59453, 52279, 50823, 54710, 54583, 50852, 58839, 52253, 57841, 52107, 68789, 53761, 50949, 50799, 52685, 51295, 52544, 50949, 50953, 55940, 55850, 55146, 50823, 50416, 52730, 51454, 51402, 59608, 50962, 52399, 55155, 50843, 68194, 56667, 51701, 54484, 53761, 51388, 52053, 54328, 62073, 56106, 50823, 53764, 53810, 51716, 54484, 52197, 53259, 52544, 56769, 50953, 52737, 50843, 59533, 50930, 51556, 62468, 56341, 52547, 54484, 50843, 62073, 55146, 50823, 54268, 50836, 54032, 50836, 51618, 59453, 56604, 50843, 59453, 56606, 50823, 54710, 54583, 50852, 56247, 54871, 51240, 50811, 55986, 62073, 55719, 50823, 51402, 50840, 52399, 55155, 50843, 68194, 50962, 55057, 62073, 55060, 50823, 53764, 53810, 51340, 51613, 61023, 50843, 62468, 51010, 57315, 62073, 55719, 50823, 51572, 50836, 54032, 55932, 50843, 59453, 57887, 52253, 59434, 59453, 52279, 50823, 54710, 54583, 52107, 50923, 50945, 53547, 50809, 50799, 52685, 51183, 53761, 50923, 79388, 50843, 55850, 55146, 50823, 53440, 59608, 57188, 52544, 62003, 55155, 50843, 68194, 56667, 51821, 54484, 50843, 62073, 56106, 50823, 53764, 53810, 52072, 54484, 52107, 56073, 51186, 50823, 51340, 51613, 61023, 50843, 62468, 56341, 52009, 54484, 52685, 53651, 50953, 52737, 50843, 62073, 55146, 50823, 54268, 50836, 51180, 55932, 50843 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 11739, 9, 3459, 9590, 6, 13305, 6, 21072, 6, 20535, 2810, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 5723, 10, 33928, 8, 2365, 16464, 4, 20, 33215, 13931, 9, 272, 401, 6, 274, 401, 6, 8, 272, 406, 3639, 7, 63, 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, 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, 55760, 51090, 50843, 52432, 51964, 56828, 51964, 51566, 51706, 50812, 51232, 50808, 51099, 51620, 50801, 57469, 51708, 51060, 51280, 51158, 51198, 51158, 51144, 53505, 51964, 56341, 53038, 51055, 51869, 51343, 51706, 51141, 51280, 51141, 51232, 51141, 50843, 53035, 52537, 69209, 59426, 53366, 50894, 50799, 55760, 51090, 50843, 52432, 51964, 62231, 51964, 50930, 51706, 50952, 51232, 50800, 51099, 53950, 51964, 58546, 58288, 51708, 50849, 51280, 50795, 51198, 50805, 51144, 52605, 51964, 55310, 51964, 54459, 53038, 50890, 51869, 51472, 51706, 51291, 51280, 51291, 51232, 51291, 50843, 53044, 53038, 63556, 52763, 52537, 54273, 54210, 53366, 50911, 50799, 55760, 51090, 50843, 53829, 51964, 58980, 51964, 51566, 51706, 50812, 51232, 50808, 51099, 51620, 50801, 58288, 51708, 51060, 51280, 51060, 51198, 51060, 51144, 53505, 51964, 54459, 53038, 51055, 51869, 51364, 51706, 51141, 51280, 51141, 51232, 51141, 50843, 52616, 50843, 52743, 52537, 51238, 50801, 59426, 53366, 50894, 50799, 55760, 65030, 52432, 51964, 59214, 51964, 50880, 51706, 50830, 51232, 78112, 51620, 51964, 58546, 55212, 51708, 50805, 51280, 50795, 71726, 51144, 53308, 51964, 55782, 51964, 56341, 53038, 50890, 51869, 51472, 51706, 51291, 51280, 51472, 51232, 51472, 50843, 53041, 53038, 70146, 55254, 52537, 56795, 55891, 53366, 50806, 52534, 51483, 55760, 66556, 53971, 51139, 53203, 51964, 51130, 53109, 51133, 50840, 51964, 51055, 51706, 50812, 51232, 50808, 51099, 60213, 67937, 68180, 51185, 50821, 65719, 54013, 51133, 50952, 51708, 51060, 51280, 51173, 51198, 51158, 79632, 51089, 50865, 50430, 51023, 50940, 51092, 50940, 51361, 54034, 50964, 50883, 51964, 60958, 51224, 54968, 51186, 51090, 53038, 51566, 51869, 51343, 51706, 51141, 51280, 51364, 51232, 51141, 51557, 50893, 51089, 50924, 51020, 50806, 52453, 73816, 60044, 51326, 55254, 51011, 51286, 52537, 51235, 55605, 50828, 51453, 54991, 76077, 53366, 50882, 52534, 51160, 55760, 51090, 52321, 53403, 51964, 51864, 54604, 51133, 50880, 51964, 50930, 51706, 50952, 51232, 50800, 51099, 50858, 61012, 50424, 51193, 50882, 51185, 52422, 51964, 50897, 55605, 54929, 51133, 50894, 51708, 50805, 51280, 50795, 68946, 79632, 51089, 50938, 50430, 51023, 65367, 57359, 51964, 50836, 75596, 50964, 50883, 51964, 75031, 51224, 53294, 51186, 50882, 53038, 50890, 51869, 51291, 51706, 51291, 51280, 51472, 51232, 51472, 51557, 50893, 51089, 50865, 51020, 50893, 51897, 52875, 51186, 51030, 53038, 50921, 51842, 50448, 51326, 53711, 79861, 52537, 50806, 53659, 52579, 50953, 51030, 53366, 50911, 51931, 52534, 51483, 55760, 50896, 51897, 53403, 51964, 51130, 53899, 51133, 50840, 51964, 51454, 51706, 50812, 51232, 50800, 51099, 60213, 71299, 51193, 50882, 51185, 50882, 74334, 54660, 51133, 50940, 51708, 51111, 51280, 51060, 51198, 51060, 79632, 51089, 50938, 50430, 51023, 50952, 51092, 50921, 51361, 54034, 50964, 50961, 51964, 60958, 51224, 53294, 51186, 51090, 53038, 51055, 51869, 51343, 51706, 51141, 51280, 50983, 51232, 51141, 51557, 50893, 51089, 50865, 51020, 50893, 52321, 73816, 60411, 51326, 53711, 51011, 51286, 52537, 51238, 55605, 50841, 51453, 54794, 76077, 53366, 50882, 52534, 51160, 55760, 51090, 51897, 53403, 51964, 51864, 54604, 51133, 50880, 51964, 50962, 51706, 50952, 51232, 50800, 51099, 60213, 67937, 51193, 50882, 51185, 54856, 51964, 50910, 56319, 54883, 51133, 50894, 51708, 50849, 51280, 50805, 51198, 50805, 79632, 51089, 50865, 50430, 51023, 50952, 51092, 57748, 51964, 50836, 67491, 50964, 50949, 51964, 75031, 51224, 55622, 51186, 50882, 53038, 50887, 51869, 51472, 51706, 51291, 51280, 51291, 51232, 51291, 51557, 50806, 51089, 50865, 51020, 50806, 51897, 52875, 51186, 51030, 53038, 51033, 51468, 50448, 51326, 53711, 79861, 52537, 50806, 53659, 53268, 60357, 53310, 51055, 53366, 50806, 51471, 52534, 51354, 55760, 51090, 51897, 53403, 53789, 50910, 51964, 51139, 53109, 51133, 50809, 51964, 51454, 51706, 50833, 51232, 50808, 78891, 51061, 67937, 68180, 51185, 52422, 53789, 50911, 54680, 54660, 51133, 50952, 51708, 51060, 51280, 51158, 51198, 51158, 79632, 51089, 50865, 50430, 51023, 50952, 51092, 57748, 54607, 51044, 53439, 50964, 50949, 54607, 51175, 51964, 60958, 51224, 54968, 51186, 50896, 53038, 51290, 51869, 51364, 51706, 50983, 51280, 50983, 51232, 50983, 51557, 50893, 51089, 50865, 51020, 50893, 52321, 52616, 53138, 50940, 51471, 50448, 51326, 53711, 51011, 51286, 53138, 50948, 52537, 51235, 55605, 52881, 53014, 50833, 74268, 50953, 50880, 53366, 50882, 52534, 51160, 53138, 50911, 55760, 51054, 52321, 52761, 54607, 51290, 51964, 50930, 64546, 51133, 50880, 51964, 50962, 51706, 50940, 51232, 78112, 50859, 51061, 67937, 51193, 50882, 51185, 52422, 51964, 50897, 55605, 53943, 51133, 50882, 51708, 50849, 51280, 50795, 71726, 79632, 51089, 50924, 50430, 51023, 65367, 57359, 53014, 51227, 51964, 50840, 72894, 50964, 50961, 51964, 60958, 51224, 53294, 51186, 50894, 53038, 50887, 51869, 51472, 51706, 51291, 51280, 51472, 51232, 51472, 51557, 50879, 51089, 50938, 51020, 50806, 52321, 53162, 51186, 51021, 53138, 50858, 53038, 50921, 51842, 50448, 51326, 53711, 51011, 51030, 52537, 50806, 53659, 52579, 60357, 53014, 50880, 53366, 51575, 54991, 53138, 50930, 52534, 51483, 54607, 51566, 55760, 51054, 52321, 52761, 51964, 51130, 53991, 51133, 50840, 51964, 51454, 51706, 50812, 51232, 50808, 78891, 61012, 50424, 51193, 50882, 51185, 54856, 53138, 51566, 54680, 54694, 51133, 50952, 51708, 51060, 51280, 51158, 51198, 51060, 68365, 51089, 50924, 50430, 51023, 50940, 51092, 50940, 51361, 54034, 50964, 50961, 51964, 60958, 51224, 55622, 51186, 50896, 53014, 51013, 53038, 51055, 51869, 51343, 51706, 51141, 51280, 51141, 51232, 51141, 51557, 50806, 51089, 50865, 51020, 50806, 52321, 68202, 59361, 51326, 53711, 51011, 51192, 53392, 50948, 52537, 51238, 55605, 50828, 51453, 54991, 50953, 50880, 53366, 50882, 52534, 51160, 54700, 50806, 55760, 51090, 51897, 52761, 53014, 50821, 51964, 51864, 54604, 51133, 50880, 51964, 50880, 51706, 50952, 51232, 78112, 60213, 67937, 68180, 51185, 52422, 51964, 50925, 56319, 54929, 51133, 50894, 51708, 50849, 51280, 50795, 51198, 50805, 79632, 51089, 50865, 50430, 51023, 50940, 51092, 57748, 51964, 50840, 72894, 50964, 50949, 51964, 75031, 51224, 53294, 51186, 50882, 53038, 50887, 51869, 51291, 51706, 51472, 51280, 51661, 51232, 51472, 51557, 50893, 51089, 50924, 51020, 50806, 52321, 52986, 51186, 51021, 53038, 51033, 51468, 50448, 51326, 55254, 51011, 51030, 52537, 50893, 54680, 53268, 60357, 53366, 50806, 51471, 52534, 51483, 53986, 51033, 55760, 50896, 51897, 53203, 53986, 50930, 51964, 51130, 53109, 51133, 50809, 53986, 50952, 51964, 51055, 51706, 50812, 51232, 50808, 51099, 60213, 67937, 68180, 51185, 50821, 74334, 54660, 51133, 50952, 53986, 50952, 51708, 51060, 51280, 51158, 51198, 51158, 51144, 57599, 50865, 50430, 51023, 50952, 51092, 50940, 51361, 54248, 50964, 50949, 54222, 51033, 51964, 75031, 51224, 55622, 51186, 51090, 53038, 51290, 51869, 51343, 51706, 51189, 51280, 51364, 51232, 51189, 51557, 50893, 51089, 50924, 51020, 50806, 51897, 55218, 54222, 51030, 51180, 53528, 54222, 50936, 50448, 51326, 55254, 51011, 51286, 52537, 51238, 54680, 55647, 54222, 51175, 51453, 54991, 76077, 53366, 50882 ]
[ 0, 713, 17627, 17274, 5175, 2214, 11, 230, 10431, 3694, 16, 686, 7, 9769, 19, 63, 33558, 34879, 4, 25837, 2987, 30, 41, 21979, 8669, 6, 21072, 6, 3459, 9590, 6, 8, 38668, 11212, 6, 24, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 10431, 119, 6, 83, 6, 8, 381, 35315, 1328, 6, 1271, 7, 63, 33200, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 72411, 50372, 52663, 51017, 57062, 56011, 66131, 50873, 55483, 57236, 51587, 53246, 51258, 69950, 61910, 56955, 51125, 54347, 51587, 53246, 50891, 67453, 55853, 66189, 51017, 53220, 51070, 57265, 51587, 54561, 51129, 61910, 51017, 54221, 52190, 54018, 50928, 51017, 60439, 56342, 65226, 60234, 51587, 53246, 55379, 51070, 50863, 51017, 59232, 54879, 62258, 66798, 51587, 54561, 57278, 52190, 54274, 51258, 51017, 58430, 50874, 56955, 51125, 54803, 76089, 67453, 55853, 61910, 51017, 54385, 51587, 53246, 56597, 51587, 53977, 51258, 66189, 51017, 54900, 51587, 67927, 54018, 50928, 51017, 60439, 56342, 65226, 59097, 67332, 72411, 53246, 60621, 59232, 58244, 67917, 50901, 55483, 57236, 51587, 53246, 51129, 55315, 61910, 61253, 51007, 55266, 51587, 54561, 50870, 51007, 56981, 50822, 66189, 50848, 52580, 51070, 57845, 51587, 53419, 51306, 66189, 50848, 54221, 52190, 54018, 75173, 59232, 60308, 64108, 60234, 51587, 53246, 58930, 76089, 51017, 57076, 61678, 66131, 66798, 51587, 53246, 57536, 52190, 54018, 51129, 51017, 55029, 50874, 62117, 51125, 54803, 76089, 67453, 62117, 55904, 51017, 54385, 51587, 76211, 50453, 51587, 53730, 51258, 55904, 51017, 54622, 51587, 50372, 52289, 54274, 50928, 51017, 55808, 61815, 69286, 59097, 51070, 51306, 72411, 54561, 50870, 51017, 57062, 54879, 62258, 50873, 55483, 57311, 51587, 54561, 51129, 51017, 58430, 50844, 56955, 51125, 55266, 51587, 53419, 50870, 67210, 56955, 66189, 51017, 52580, 51070, 57265, 51587, 53246, 51258, 66189, 51017, 52739, 52190, 54018, 50908, 51017, 57062, 56342, 65226, 60234, 51587, 53246, 58930, 75488, 51017, 59232, 56011, 62258, 66798, 51587, 53246, 57536, 52190, 54274, 51306, 51017, 58430, 50822, 56955, 51125, 54803, 51070, 50863, 51125, 50810, 56955, 59645, 51017, 54385, 51587, 76211, 50453, 51587, 53730, 51129, 66189, 51017, 54900, 51587, 67927, 54274, 50928, 51017, 59232, 56011, 62330, 59097, 67332, 72411, 76211, 50848, 59232, 58244, 63253, 50873, 55483, 57311, 51587, 53419, 51258, 55315, 61910, 60331, 51007, 55266, 51587, 54561, 50891, 51007, 56981, 50822, 61910, 50848, 53881, 51270, 52909, 70573, 51270, 54956, 51587, 56124, 53622, 51258, 66189, 57884, 50431, 51270, 52818, 70618, 51742, 51270, 62056, 54274, 75984, 59232, 60308, 51681, 50318, 67632, 51270, 54248, 51587, 58729, 52909, 74896, 51270, 52621, 51224, 54506, 69627, 51017, 57076, 59344, 62258, 50901, 50440, 51270, 55262, 51587, 58729, 53622, 51258, 50443, 51270, 52875, 52190, 54018, 51258, 69131, 55904, 64630, 51125, 55876, 51224, 54274, 50870, 67210, 62117, 56401, 51017, 65673, 51270, 52743, 51415, 51735, 51326, 58906, 58847, 52909, 50870, 51169, 51157, 50453, 51587, 53332, 51129, 55904, 51017, 53176, 51289, 61682, 56124, 70724, 54274, 50928, 51017, 57076, 64232, 65226, 73752, 51270, 54026, 51270, 52909, 51258, 50461, 51270, 50835, 55194, 50976, 55080, 51293, 53654, 53413, 52684, 51151, 77247, 66834, 57305, 53419, 50870, 51316, 51896, 50944, 54879, 66131, 76882, 51068, 53730, 57236, 52578, 75225, 55623, 57423, 54561, 51129, 61910, 56955, 51125, 55266, 51213, 61606, 61988, 53246, 50870, 51125, 50810, 55853, 50944, 52580, 51888, 55146, 56289, 56061, 51467, 53740, 57845, 52578, 63466, 61988, 53246, 56761, 51019, 72545, 55623, 62056, 54018, 50928, 50944, 56342, 65226, 60234, 51068, 61988, 54561, 57481, 51213, 51388, 52578, 51670, 55304, 52223, 53740, 57502, 51068, 58586, 53246, 57278, 51888, 75225, 55569, 62056, 54018, 51258, 66189, 56955, 51125, 55876, 51213, 50894, 52578, 61403, 61865, 51125, 50810, 56955, 50944, 54385, 52428, 51152, 56061, 51467, 76397, 76211, 50453, 51068, 64218, 53332, 56077, 62975, 51068, 55569, 57423, 50372, 52289, 54018, 50908, 51316, 63979, 56342, 69286, 60977, 51068, 53332, 51258, 77596, 58124, 50976, 52583, 51145, 54008, 51145, 77247, 51916, 75533, 54561, 50870, 51316, 51238, 50417, 51068, 53730, 57236, 51068, 55623, 57423, 53246, 51258, 61910, 60331, 51007, 54347, 51415, 61606, 61988, 53246, 50870, 51007, 56981, 50844, 66189, 50424, 51067, 74982, 77247, 56061, 51467, 50368, 52663, 50429, 51068, 61988, 53246, 56761, 51415, 71098, 55569, 62056, 54018, 50908, 51316, 72736, 60308, 67917, 67632, 51067, 56579, 51068, 58586, 53419, 51306, 50436, 51316, 54077, 52022, 51505, 55080, 53413, 52693, 51145, 54165, 51047, 77247, 52223, 54949, 60470, 51076, 51215, 50441, 51068, 58586, 53246, 57536, 51068, 55623, 70724, 54274, 51258, 56992, 62117, 51125, 55876, 52022, 61606, 69482, 50947, 51124, 67210, 64630, 50872, 54385, 77247, 54946, 51467, 75533, 53246, 56597, 52022, 56675, 58586, 53730, 58210, 63028, 51068, 55623, 57423, 67927, 54274, 50928, 51076, 55664, 61815, 65226, 60977, 51068, 53332, 51258, 55194, 51388, 53654, 53082, 52684, 67531, 54094, 52223, 76397, 50374, 52663, 51316, 51941, 50417, 51068, 53730, 57236, 52578, 75225, 55623, 57305, 53419, 51258, 59358, 55853, 51125, 54347, 51213, 61606, 61988, 50374, 52663, 67210, 55878, 50944, 52921, 51888, 55719, 55304, 56061, 51406, 54949, 57845, 52578, 61403, 61988, 53246, 57617, 62994, 51068, 55623, 70724, 54018, 50908, 50944, 57349, 65226, 58952, 51068, 61988, 53246, 57481, 51213, 50976, 52578, 55719, 56289, 52223, 54949, 56432, 51068, 58586, 53246, 59291, 51888, 61474, 55623, 74285, 54018, 51306, 66189, 55853, 51125, 54803, 51213, 50950, 52578, 63466, 78400, 67453, 56955, 50944, 52989, 52428, 51152, 54946, 51406, 76397, 76211, 50453, 51213, 63994, 61988, 53730, 56077, 51011, 72545, 55623, 57423, 71135, 54274, 50908, 50944, 56011, 62330, 59097, 51068, 53332, 51129, 51786, 50855, 58124, 51388, 52583, 51047, 54008, 51145, 77247, 52223, 76397, 53419, 50870, 51786, 51238, 50417, 51068, 53332, 57311, 51068, 55623, 57423, 53246, 51258, 61910, 60331, 51007, 55266, 51415, 56823, 61988, 53419, 50870, 51007, 56981, 50844, 61910, 50424, 51292, 51060, 52389, 54094, 56061, 51406, 50368, 52663, 50429, 51068, 61988, 53246, 57617, 51415, 72545, 55569, 62056, 54018, 50928, 51316, 50937, 50944, 58244, 64108, 60234, 51068, 61988, 54561, 57481, 52022, 50976, 55080, 52096, 52693, 51145, 54165, 51148, 77247, 51916, 54949, 50891, 51076, 50967, 50441, 51068, 61988, 54561, 57536, 51068, 55569, 62056, 54018, 51258, 58518, 62117, 51125, 54803, 52022, 56823, 53332, 50870, 77457, 67453, 64630, 50872, 54385, 77247, 54946, 51467, 75533, 76211, 50453, 52022, 56675, 64218, 53977, 58210, 63028, 51068, 55569, 57305, 71135, 54018, 50908, 51169, 72305, 61815, 69286, 73752, 50947, 57490, 51068, 53332, 51258, 50460, 51169, 50886, 55194, 51505, 53654, 52121, 52684, 52121, 52243, 51367, 58250, 54561, 58120, 51078, 51161, 55483, 51129, 52906, 57305, 53246, 51258, 61910, 55853, 51125, 54347, 51213, 63102, 53246, 50870, 67453, 55878, 50944, 53881, 53428, 51012, 52243, 50969, 51406, 54949, 57265, 51587, 54561, 56761, 51019, 61363, 70724, 54274, 50908, 50944, 57349, 62330, 60234, 51587, 53246, 55379, 51213, 50976, 55299, 51167, 53752, 50367, 52663, 50441, 51587, 54561, 51258, 56960, 62056, 54274, 51306, 59358, 56955, 51125, 54803, 51213, 57500, 50863, 51125, 50810, 56955, 50944, 54385, 50798, 52538, 51406, 76397, 53246, 56597, 51213, 60035, 53730, 56077, 51019, 61363, 58250, 71135, 54274, 50928, 50944, 57349, 62330, 59097, 63387, 55194, 51505, 53752, 75533, 53246, 50891, 55483, 57236, 55299, 51286 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3495, 2125, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 7219, 8669, 8, 6168, 3540, 483, 5, 169, 6, 2800, 30, 38668, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 20, 762, 9, 272, 538, 28028, 6, 19, 10, 33215, 13931, 9, 3676, 406, 6, 230, 119, 1176, 406, 6, 8, 272, 16331, 1328, 42, 8787, 15229, 6, 1969, 13, 2365, 50, 3618, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 51338, 51112, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031, 54360, 51091, 51915, 51397, 51350, 51183, 50843, 60159, 51195, 70955, 54311, 50807, 51368, 58379, 52163, 51195, 51025, 56682, 51112, 52331, 50901, 52055, 51225, 53299, 51726, 51346, 52331, 57817, 51545, 51159, 52331, 75438, 52001, 68029, 51726, 51177, 50843, 54496, 50816, 52444, 52331, 51183, 51223, 51264, 50843, 60159, 51545, 59689, 52568, 51726, 51295, 50804, 52001, 52884, 51844, 50800, 51545, 51377, 52055, 51225, 50813, 56682, 51112, 52331, 51267, 52055, 51104, 53299, 51726, 72265, 51545, 50983, 52331, 57978, 52726, 51726, 69956, 56262, 52331, 51194, 51223, 51896, 50843, 60159, 51545, 51412, 50843, 54554, 51726, 58379, 52001, 62287, 51545, 50901, 52894, 51112, 51425, 50878, 52055, 51225, 53299, 51223, 51073, 51425, 55640, 51250, 51336, 51425, 64211, 52001, 68029, 51223, 77583, 54496, 50816, 52444, 51425, 50914, 51262, 51291, 50843, 60159, 51223, 51056, 50843, 52568, 51425, 69362, 52001, 52884, 73198, 51223, 51253, 52055, 51225, 50813, 53053, 51112, 51368, 51428, 55121, 53299, 51368, 50858, 51195, 64131, 51355, 51472, 51368, 56873, 52726, 51195, 51056, 50843, 56262, 51250, 51472, 51368, 51159, 50843, 60159, 51195, 63112, 51368, 55506, 52163, 51195, 51177, 52055, 51225, 50813, 54309, 50991, 51368, 50978, 51915, 50959, 52055, 51225, 53299, 51368, 51073, 51915, 57817, 51195, 50983, 51915, 72827, 52001, 68029, 51368, 51241, 50843, 54496, 50816, 52444, 51915, 51183, 51350, 51336, 50843, 60159, 51195, 51162, 50843, 52568, 51368, 78688, 52001, 52884, 51338, 50800, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50854, 51915, 51013, 52055, 51104, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52726, 51368, 51134, 50843, 56262, 51915, 51047, 51350, 68754, 60159, 51195, 79308, 54311, 51048, 51368, 51310, 50804, 52163, 51195, 51318, 54309, 51112, 51915, 50892, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031, 54360, 51091, 51915, 51397, 51350, 51183, 50843, 60159, 51195, 70955, 54311, 50807, 51368, 58379, 52163, 51195, 51025, 56682, 51112, 52331, 50901, 52055, 51225, 53299, 51726, 51346, 52331, 57817, 51545, 51159, 52331, 75438, 52001, 68029, 51726, 51177, 50843, 54496, 50816, 52444, 52331, 51183, 51223, 51264, 50843, 60159, 51545, 59689, 52568, 51726, 51295, 50804, 52001, 52884, 51844, 50800, 51545, 51377, 52055, 51225, 50813, 56682, 51112, 52331, 51267, 52055, 51104, 53299, 51726, 72265, 51545, 50983, 52331, 57978, 52726, 51726, 69956, 56262, 52331, 51194, 51223, 51896, 50843, 60159, 51545, 51412, 50843, 54554, 51726, 58379, 52001, 62287, 51545, 50901, 52894, 51112, 51425, 50878, 52055, 51225, 53299, 51223, 51073, 51425, 55640, 51250, 51336, 51425, 64211, 52001, 68029, 51223, 77583, 54496, 50816, 52444, 51425, 50914, 51262, 51291, 50843, 60159, 51223, 51056, 50843, 52568, 51425, 69362, 52001, 52884, 73198, 51223, 51253, 52055, 51225, 50813, 53053, 51112, 51368, 51428, 55121, 53299, 51368, 50858, 51195, 64131, 51355, 51472, 51368, 56873, 52726, 51195, 51056, 50843, 56262, 51250, 51472, 51368, 51159, 50843, 60159, 51195, 63112, 51368, 55506, 52163, 51195, 51177, 52055, 51225, 50813, 54309, 50991, 51368, 50978, 51915, 50959, 52055, 51225, 53299, 51368, 51073, 51915, 57817, 51195, 50983, 51915, 72827, 52001, 68029, 51368, 51241, 50843, 54496, 50816, 52444, 51915, 51183, 51350, 51336, 50843, 60159, 51195, 51162, 50843, 52568, 51368, 78688, 52001, 52884, 51338, 50800, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50854, 51915, 51013, 52055, 51104, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52726, 51368, 51134, 50843, 56262, 51915, 51047, 51350, 68754, 60159, 51195, 79308, 54311, 51048, 51368, 51310, 50804, 52163, 51195, 51318, 54309, 51112, 51915, 50892, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031, 54360, 51091, 51915, 51397, 51350, 51183, 50843, 60159, 51195, 70955, 54311, 50807, 51368, 58379, 52163, 51195, 51025, 56682, 51112, 52331, 50901, 52055, 51225, 53299, 51726, 51346, 52331, 57817, 51545, 51159, 52331, 75438, 52001, 68029, 51726, 51177, 50843, 54496, 50816, 52444, 52331, 51183, 51223, 51264, 50843, 60159, 51545, 59689, 52568, 51726, 51295, 50804, 52001, 52884, 51844, 50800, 51545, 51377, 52055, 51225, 50813, 56682, 51112, 52331, 51267, 52055, 51104, 53299, 51726, 72265, 51545, 50983, 52331, 57978, 52726, 51726, 69956, 56262, 52331, 51194, 51223, 51896, 50843, 60159, 51545, 51412, 50843, 54554, 51726, 58379, 52001, 62287, 51545, 50901, 52894, 51112, 51425, 50878, 52055, 51225, 53299, 51223, 51073, 51425, 55640, 51250, 51336, 51425, 64211, 52001, 68029, 51223, 77583, 54496, 50816, 52444, 51425, 50914, 51262, 51291, 50843, 60159, 51223, 51056, 50843, 52568, 51425, 69362, 52001, 52884, 73198, 51223, 51253, 52055, 51225, 50813, 53053, 51112, 51368, 51428, 55121, 53299, 51368, 50858, 51195, 64131, 51355, 51472, 51368, 56873, 52726, 51195, 51056, 50843, 56262, 51250, 51472, 51368, 51159, 50843, 60159, 51195, 63112, 51368, 55506, 52163, 51195, 51177, 52055, 51225, 50813, 54309, 50991, 51368, 50978, 51915, 50959, 52055, 51225, 53299, 51368, 51073, 51915, 57817, 51195, 50983, 51915, 72827, 52001, 68029, 51368, 51241, 50843, 54496, 50816, 52444, 51915, 51183, 51350, 51336, 50843, 60159, 51195, 51162, 50843, 52568, 51368, 78688, 52001, 52884, 51338, 50800, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 53590, 55121, 53299, 51915, 50897, 51368, 58938, 53625, 50889, 51195, 51294, 51915, 72827, 52726, 51368, 51191, 50843, 56262, 53625, 51159, 51350, 51336, 51915, 51448, 50843, 60159, 51195, 75355, 54311, 51048, 52833, 51110, 51368, 78688, 52163, 51195, 51318, 54309, 51112, 52380, 51518, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 53625, 51103, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031 ]
[ 0, 713, 25771, 5175, 2125, 6, 278, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 178, 5285, 20889, 2386, 5, 31391, 1672, 9590, 6, 6755, 12547, 6, 2236, 1021, 2678, 29, 6, 38668, 2236, 6, 8, 3459, 8669, 7, 35810, 561, 10, 5797, 990, 1506, 9, 2933, 8, 3722, 23225, 6, 7630, 14805, 10, 25306, 619, 4, 20, 33215, 16739, 9, 274, 6, 230, 73, 717, 6, 211, 119, 6, 274, 73, 347, 6, 8, 163, 428, 3639, 5581, 7, 42, 24111, 34753, 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 ]	[ 57448, 50799, 55810, 51356, 55899, 51077, 52886, 64739, 52888, 50950, 52086, 55747, 52888, 51012, 52086, 65708, 54669, 50950, 52914, 53974, 53686, 51012, 52561, 55122, 53686, 51012, 54102, 51356, 54193, 51077, 52561, 50879, 52626, 63883, 52689, 51761, 51882, 51364, 50799, 53755, 51356, 54280, 51077, 52735, 64739, 53391, 50950, 52077, 55747, 53391, 51012, 52077, 65708, 52689, 50950, 51882, 53974, 52888, 51012, 52086, 55122, 52888, 51012, 52792, 51356, 52700, 51077, 52086, 50879, 52430, 63883, 52945, 51761, 51855, 51364, 50799, 52290, 51356, 52004, 51077, 52137, 64739, 53132, 50950, 51813, 55747, 53132, 51012, 51813, 65708, 52945, 50950, 51855, 53974, 53391, 51012, 52077, 55122, 53985, 51012, 52037, 51356, 51893, 51077, 52088, 50879, 52036, 63883, 53391, 51012, 52077, 55149, 53391, 51012, 52077, 55416, 53985, 51012, 52088, 50879, 50799, 53132, 51012, 52290, 51356, 52004, 51077, 51813, 50879, 52137, 64739, 53132, 51012, 51813, 54851, 57922, 51012, 53216, 54729, 53132, 51012, 51813, 55122, 53391, 51237, 51783, 51356, 52184, 51356, 53755, 51356, 51256, 51077, 52031, 51077, 54280, 51077, 52077, 51013, 51743, 51077, 52340, 51077, 52735, 66336, 53391, 51237, 52077, 51013, 50799, 51783, 51696, 51722, 51696, 52000, 51264, 51256, 51264, 51408, 51264, 52447, 51359, 51425, 51359, 51526, 51696, 52584, 51696, 51743, 51264, 51863, 63560, 52888, 51012, 52086, 54851, 52888, 51237, 52086, 60315, 52689, 50950, 51882, 61032, 52888, 51653, 52086, 70098, 52888, 51237, 52086, 51013, 50799, 51783, 51696, 51722, 51696, 52000, 51264, 51256, 51264, 51408, 51264, 52447, 51359, 51425, 51359, 51526, 51696, 52584, 51696, 51863, 51264, 52036, 51264, 52735, 63560, 52888, 51012, 52086, 54851, 52888, 51237, 52086, 60315, 52689, 50950, 51882, 61032, 52888, 51653, 52086, 70098, 52888, 51237, 52086, 51013, 50799, 52888, 50950, 51722, 51016, 51408, 50889, 52086, 50859, 51436, 51218, 51526, 51343, 55298, 51343, 52735, 64018, 53686, 51653, 52561, 71727, 53686, 51012, 51612, 50893, 51390, 50805, 52561, 50879, 52886, 52605, 52888, 51012, 51722, 50893, 51408, 50805, 52086, 50879, 51436, 50873, 51526, 50893, 55298, 50893, 52735, 52446, 52689, 51012, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 51882, 50879, 51265, 51218, 51349, 51343, 54144, 51343, 52036, 50889, 52430, 55480, 53686, 51012, 52561, 55149, 53686, 50950, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 52561, 50859, 52036, 50889, 52430, 63433, 52689, 51653, 51882, 51238, 50456, 51265, 50873, 51349, 50893, 54144, 50893, 50799, 53391, 51012, 51555, 51016, 51209, 50889, 52077, 50879, 51368, 51218, 51137, 51343, 52993, 51343, 52137, 55385, 52888, 51012, 52086, 54851, 52888, 50950, 51555, 51016, 51209, 50889, 52086, 50859, 52137, 63455, 53391, 51653, 52077, 51238, 50432, 51368, 50873, 78148, 52993, 54993, 53391, 51012, 51555, 51235, 51209, 51116, 52077, 50879, 51425, 51218, 51132, 51343, 52584, 51343, 52137, 70595, 52888, 50950, 52086, 56762, 52888, 51745, 52123, 51362, 51555, 51362, 51322, 51204, 51209, 51204, 52086, 51294, 51838, 51204, 52137, 51204, 50456, 51425, 50873, 73710, 52584, 50893, 50799, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 52191, 51218, 51533, 51343, 52585, 51343, 52340, 52864, 53391, 50950, 52623, 50893, 51555, 50893, 51772, 50805, 51209, 50805, 52077, 50859, 52340, 50805, 52137, 57572, 53391, 51653, 52077, 71727, 52623, 50893, 51555, 50893, 51772, 50805, 51209, 50805, 52340, 50805, 52137, 52605, 53132, 51012, 52623, 50858, 51772, 50808, 51813, 50879, 52191, 50873, 51533, 50893, 52585, 50893, 52340, 52599, 53985, 51012, 52123, 50893, 51322, 50805, 52088, 50879, 52447, 51218, 51727, 51343, 51526, 51343, 51838, 52815, 53391, 50950, 52123, 51016, 51783, 51016, 51322, 50889, 51256, 50889, 52077, 50859, 51838, 50889, 52036, 50889, 50447, 53391, 51653, 52077, 51238, 50456, 53985, 51012, 52123, 50893, 51783, 50893, 51322, 50805, 51256, 50805, 52088, 50879, 52447, 50873, 51727, 50893, 51526, 50893, 51838, 50805, 52036, 50805, 50799, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 51915, 51218, 51338, 51343, 51416, 51343, 52340, 52864, 53391, 50950, 52623, 50893, 51555, 50893, 51772, 50805, 51209, 50805, 52077, 50859, 52340, 50805, 52137, 57572, 53391, 51012, 52077, 54851, 52623, 51016, 51555, 51016, 51772, 50889, 51209, 50889, 52340, 50889, 52137, 63455, 52888, 51653, 52086, 51238, 50432, 51915, 50873, 51338, 50893, 51416, 54993, 52689, 51012, 52623, 51016, 51722, 51016, 51772, 50889, 51408, 50889, 51882, 50879, 51425, 50943, 51132, 51016, 52584, 51016, 52340, 50889, 52735, 55480, 52689, 50950, 51882, 56762, 53391, 50950, 52077, 54721, 52689, 51237, 52623, 51016, 51722, 51016, 51772, 50889, 51408, 50889, 51882, 51013, 51425, 50873, 73710, 52584, 50893, 52340, 50889, 52735, 55069, 51425, 50873, 73710, 52584, 50893, 50799, 52888, 51012, 51722, 51016, 51408, 50889, 52086, 50879, 51436, 51218, 51526, 51343, 55298, 51343, 52735, 55385, 53686, 50950, 52561, 55747, 53686, 51653, 52561, 71727, 51612, 50893, 51390, 50805, 52886, 52605, 52888, 51012, 51722, 50893, 51408, 50805, 52086, 50879, 51436, 50873, 51526, 50893, 55298, 50893, 52735, 52446, 52689, 51012, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 51882, 50879, 51265, 51218, 51349, 51343, 54144, 51343, 52036, 50889, 52430, 55480, 53686, 50950, 52561, 56762, 53686, 51012, 52561, 55149, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 52036, 50889, 52430, 63433, 52689, 51653, 51882, 51238, 50456, 51265, 50873, 51349, 50893, 54144, 50893, 50799, 53391, 51012, 51555, 51016, 51209, 50889, 52077, 50879, 51368, 51218, 51137, 51343, 52993, 51343, 52137, 55385, 52888, 51012, 52086, 54851, 52888, 51012, 51555, 51235, 51209, 51116, 52086, 50879, 52137, 68109, 53391, 50950, 52077, 50859, 51368, 50873, 78148, 52993, 62960, 53391, 51653, 51555, 51235, 51209, 51116, 52077, 51238, 52137, 69705, 51425, 51218, 51132, 51343, 52584, 51343, 50444, 52888, 50950, 51555, 51343, 51722, 51343, 51209, 51141, 51408, 51141, 52086, 50859, 52137, 51141, 52735, 51141, 50447, 52888, 51745, 52086, 51294, 50456, 51425, 50873, 73710, 52584, 50893, 50799, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 52191, 51218, 51533, 51343, 52585, 51343, 52340, 52864, 53391, 50950, 52623, 51016, 51555, 51016, 51772, 50889, 51209, 50889, 52077, 50859, 52340, 50889, 52137, 74719, 53391, 51653, 52077, 51238, 50432, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 52191, 50873, 51533, 50893, 52585, 50893, 52340, 52446, 53985, 50950, 52123, 50893, 51322, 50805, 52088, 50859, 52447, 51218, 51727, 51343, 51526, 51343, 51838, 60132, 53391, 51012, 52077, 55885, 52123, 51343, 51783, 51343, 51322, 51141, 51256, 51141, 51838, 51141, 52036, 51141, 50447, 53391, 51237, 52077, 63505, 52447, 50873, 51727, 50893, 51526, 64503, 53985, 50950, 52088, 50859, 51034, 53132, 50950, 52623, 51235, 51772, 51116, 51813, 50859, 51915, 51218, 51338, 51343, 51416, 51343, 52340, 51116, 50417, 53391, 51012, 52077, 65393, 53391, 51653, 52623, 50858, 51555, 50858, 51772, 50808, 51209, 50808, 52077, 51238, 52340, 50808, 52137, 52450, 52623, 51016, 51555, 51016, 51772, 50889, 51209, 50889, 52340, 50889, 52137, 55112, 52888, 51012, 52086, 50879, 51915, 50873, 51338, 50893 ]
[ 0, 250, 765, 8, 19448, 11057, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 3459, 8669, 6, 23338, 33518, 1264, 6, 6755, 12547, 6, 21979, 8669, 6, 8, 13305, 6, 70, 29354, 561, 7, 1045, 10, 15352, 30054, 8, 5679, 26709, 5466, 6, 1969, 13, 5, 1619, 191, 6, 19, 10, 1011, 625, 12, 3341, 619, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 23758, 3938, 20889, 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 ]	[ 56103, 51261, 51795, 50415, 51525, 58026, 50900, 51538, 51040, 51161, 50871, 51518, 50455, 52078, 51111, 51793, 53268, 50997, 51376, 50461, 51150, 51300, 52591, 50989, 51343, 50900, 51364, 50916, 51141, 50997, 51364, 50433, 51793, 50893, 50437, 51050, 54532, 50439, 51140, 51274, 51098, 64733, 50956, 51204, 50871, 51351, 51086, 51226, 51027, 51091, 50457, 51793, 50806, 50799, 51525, 74652, 51261, 51795, 53502, 51692, 50871, 51677, 51040, 51585, 50455, 50997, 52482, 50456, 52078, 50975, 53788, 51300, 56363, 51218, 50989, 74886, 51218, 50916, 50983, 50433, 51793, 50975, 50437, 51050, 54344, 50439, 51140, 51496, 50445, 51086, 51661, 50956, 51417, 70837, 51027, 51310, 50456, 51793, 50975, 54204, 51795, 51525, 72533, 50900, 51452, 51040, 51742, 50871, 51592, 50445, 50997, 51295, 50455, 52078, 50993, 50461, 51150, 51300, 53069, 51378, 60055, 50989, 51351, 50900, 64291, 51134, 50997, 51351, 50432, 51793, 51066, 60116, 69279, 51040, 60821, 79981, 50889, 50445, 51050, 53280, 50456, 51793, 50975, 50461, 51525, 50894, 54204, 51795, 50416, 51040, 60259, 57934, 52062, 78523, 51790, 51040, 51675, 50449, 50997, 52397, 50456, 52078, 73300, 51150, 51029, 52591, 51378, 51397, 50900, 51189, 50916, 51318, 50989, 51189, 50997, 51477, 50432, 51793, 50975, 60116, 51496, 50442, 52060, 54651, 51086, 51294, 51553, 50812, 70875, 50975, 50445, 51027, 51542, 50956, 51542, 51050, 53577, 50871, 51542, 50447, 51456, 69774, 51224, 52163, 52876, 50860, 51256, 66514, 50803, 70875, 50882, 65959, 69077, 51793, 73481, 53143, 58731, 50930, 54204, 51795, 59685, 50823, 52000, 51790, 52321, 70772, 50803, 57695, 51066, 50418, 53143, 52244, 52876, 51805, 58235, 50900, 51538, 51040, 51161, 50871, 51518, 50424, 53143, 57615, 51917, 52519, 70875, 52524, 52876, 55720, 52493, 50858, 57695, 50942, 50427, 51256, 51749, 50429, 53143, 50823, 59403, 69812, 51408, 52658, 59685, 51805, 50886, 52861, 51138, 50436, 56631, 52651, 50961, 59403, 50824, 50437, 50801, 52565, 59685, 50823, 51934, 57838, 58037, 53143, 60254, 52876, 55075, 50961, 51180, 54525, 53143, 57891, 52876, 50860, 54786, 50930, 51899, 58453, 50950, 50451, 51917, 50933, 51256, 51126, 59403, 73059, 53143, 64776, 52078, 51111, 51793, 50839, 54786, 52485, 50997, 51376, 59685, 50823, 51718, 51053, 50961, 57695, 50865, 50460, 56631, 56771, 51150, 51300, 54786, 51072, 50799, 59685, 50823, 51451, 60243, 51366, 51253, 52000, 60243, 52321, 62799, 53143, 52244, 50989, 51343, 50900, 51364, 50916, 51141, 50997, 51364, 52876, 51805, 60682, 53143, 52651, 52630, 52876, 50860, 51334, 60873, 57444, 60579, 53143, 52119, 59685, 51805, 55503, 72090, 51793, 50893, 51334, 57083, 51408, 54350, 51547, 51010, 50436, 56631, 57880, 51050, 54532, 51256, 60676, 59685, 50823, 52286, 52519, 51772, 51419, 51762, 50439, 51140, 51274, 51098, 59779, 53143, 60254, 52876, 52651, 55186, 52120, 57460, 50956, 51204, 50871, 51351, 51086, 51226, 51027, 63419, 55903, 50817, 52876, 50860, 51229, 56394, 63273, 68343, 51934, 51235, 51893, 51480, 50454, 53143, 52163, 51287, 51053, 70000, 51793, 56277, 56631, 62181, 52000, 51397, 70526, 50918, 51488, 51870, 51201, 51103, 51088, 51336, 51165, 51356, 52286, 51878, 51917, 51189, 51334, 50917, 52219, 50985, 51139, 53340, 51177, 50415, 51261, 51795, 53410, 50811, 59685, 51184, 53502, 51692, 50871, 51677, 51040, 74390, 51351, 50423, 51334, 61057, 51934, 50840, 57695, 52976, 51334, 52634, 52493, 50940, 50428, 51408, 50890, 51361, 51423, 57695, 51244, 50433, 52840, 51961, 50435, 59403, 51413, 51850, 51110, 50436, 50801, 50961, 52861, 51291, 53016, 50806, 52387, 51291, 50437, 59431, 51570, 51177, 50443, 51154, 50828, 78990, 51488, 54441, 55186, 51088, 50820, 51201, 53065, 51351, 50447, 51917, 71487, 53085, 50967, 50449, 75752, 51451, 68465, 51201, 50897, 70999, 51629, 50821, 51304, 50858, 51334, 51286, 50816, 58453, 50950, 50454, 53016, 50952, 50455, 50997, 52482, 50456, 52078, 50975, 51165, 50890, 51201, 50834, 51394, 50867, 52000, 51095, 51408, 59156, 51194, 50801, 50961, 53788, 51300, 51165, 51016, 51088, 51294, 51182, 50914, 52321, 51100, 54786, 50889, 52678, 51016, 54227, 51013, 54598, 50889, 53016, 50889, 51971, 50914, 57695, 50932, 50415, 65979, 50416, 64150, 51830, 50995, 56363, 51218, 50989, 74886, 51218, 50916, 50983, 51209, 60257, 51351, 50424, 58074, 51694, 57444, 50930, 51361, 51328, 50801, 72090, 51793, 50975, 50435, 53737, 63806, 50436, 51664, 51524, 50437, 51050, 54344, 51794, 51400, 51629, 51363, 51395, 51238, 51883, 51203, 51375, 51160, 51488, 51460, 51917, 51173, 52060, 54362, 51426, 50991, 55655, 50901, 51772, 51158, 54223, 51121, 53008, 51575, 51101, 53399, 51016, 63976, 50995, 52527, 50889, 55458, 50807, 52861, 51961, 65359, 51097, 50439, 51140, 51496, 51674, 51379, 50442, 51553, 60869, 50801, 55186, 52120, 51134, 50445, 51086, 51661, 50956, 51417, 70837, 51027, 51310, 50448, 51664, 60789, 50574, 58977, 51600, 51110, 51794, 51194, 51426, 51215, 51491, 50975, 51883, 51177, 51917, 50812, 53737, 51022, 52812, 50830, 51772, 55095, 50576, 53798, 51488, 50879, 51395, 50879, 55655, 50907, 54223, 50833, 51547, 67831, 63273, 58045, 51456, 58403, 52876, 55273, 51793, 50975, 51224, 51052, 51309, 50801, 70000, 52840, 51148, 57695, 51486, 50458, 54244, 51803, 50459, 53143, 50823, 52000, 52980, 51850, 51047, 52861, 51692, 59403, 52916, 50460, 51917, 51803, 55655, 52980, 51456, 50912, 53016, 51591, 52387, 51662, 50461, 52286, 51742, 51830, 51452, 51772, 51675, 51209, 51790, 51326, 65209, 50803, 54204, 51795, 59685, 50860, 52219, 50985, 51139, 51177, 50418, 53143, 60442, 52876, 50860, 51039, 51351, 50423, 53143, 57615, 50900, 51452, 51040, 51742, 50871, 51592, 52876, 50860, 51694, 52493, 57781, 53143, 52119, 59685, 51805, 51423, 50436, 56631, 52651, 73957, 50801, 52565, 59685, 51805, 51177, 50442, 53143, 60254, 52876, 55166, 50961, 51180, 51351, 50445, 50997, 51295, 54244, 51337, 50448, 53143, 50803, 52000, 51210, 57695, 51043, 50449, 52876, 50860, 51917, 50827, 52280, 53567, 55655, 51524, 52286, 50878, 51830, 50910, 51772, 50827, 51209, 62283, 58453, 50950, 52840, 50940, 50451, 51850, 50878, 59403, 52063, 52861, 50873, 52387, 50972, 51992, 50924, 50453, 53143, 64776, 52078, 50993, 59685, 50823, 51453, 51194, 50801, 77660, 56631, 50803, 53046, 51115, 52000, 51524, 50461, 51150, 51300, 54244, 53265, 52733, 51218, 52812, 50983, 51451, 51753, 52280, 50827, 51756, 51204, 50799, 59685, 50823, 51366, 51043, 52321, 51100, 54786, 51419, 54598, 51191, 51971, 51091, 57695, 53674, 54227, 51191, 50415, 51547, 50967, 52678, 51294, 50418, 53143, 60442, 51378, 50983, 52876, 55573, 50989, 51351, 50900, 64291, 51134, 50997, 51351, 50791, 51351, 50423, 53143, 59174, 58074, 50425, 52876, 54675, 51451, 51000, 51322, 50825, 51366, 50810, 51547, 58162, 57444, 66770, 51408, 66121, 53143, 57925, 59685, 54179, 51793, 58834, 51328, 50801, 69201, 56631, 57880, 53737, 52136, 51912, 51095, 51772, 51215, 54849, 51364, 54223, 51218, 52213, 52518, 65359, 53265, 60116, 51189, 59685, 50823, 52286, 51477, 51256, 51277, 51229, 66741, 51101, 52840, 51379, 52527, 51427, 59403, 51852, 55458, 51653, 53037, 51653, 50439, 52943, 51175, 50441, 53143, 60254, 52876, 52651, 55186, 51040, 60821, 79981, 50889, 52120, 51134, 50445, 51050, 53280, 50450, 52876, 54886, 63273 ]
[ 0, 250, 33928, 8, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 12608, 119, 1176, 406, 6, 12608, 401, 6, 163, 428, 6, 272, 119, 6, 8, 230, 119, 406, 3639, 7, 63, 17627, 17274, 2365, 8, 1619, 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, 0, 0, 0, 0, 0 ]	[ 57530, 53870, 50910, 54967, 61798, 52436, 50828, 53786, 50884, 52380, 52816, 51833, 53223, 73032, 51437, 59768, 51105, 54366, 51539, 52870, 51096, 50897, 53786, 50818, 52380, 50828, 52436, 53871, 51437, 60443, 57309, 59579, 51833, 50835, 51974, 53754, 51437, 60723, 51096, 53852, 51833, 53115, 51105, 50937, 54933, 59954, 53786, 50884, 52436, 50828, 52380, 53756, 51833, 50863, 52129, 53754, 51437, 61082, 51096, 50938, 53477, 51566, 62235, 52802, 52436, 50828, 52380, 50846, 53786, 53756, 51437, 59617, 63998, 52579, 52855, 50969, 51437, 59175, 51096, 55136, 51539, 50841, 53870, 50910, 56089, 62307, 52436, 50846, 53786, 50884, 52380, 53871, 52223, 53227, 50798, 53754, 51539, 59768, 51105, 53618, 51833, 52870, 51096, 50897, 52436, 50828, 53786, 50884, 52380, 53871, 51467, 60443, 57309, 57393, 77608, 51974, 53500, 51464, 62586, 51096, 54200, 51916, 53018, 51105, 50938, 53804, 60067, 52436, 50846, 52380, 50818, 53786, 52816, 52223, 50863, 52129, 53889, 51464, 58321, 51096, 50917, 53477, 51454, 63998, 52802, 52436, 50846, 52380, 50846, 53786, 53871, 51406, 59096, 50798, 51916, 52579, 52855, 50969, 51464, 59025, 51096, 55136, 51539, 50839, 53870, 50910, 51020, 53756, 51406, 67553, 51020, 56933, 51020, 64600, 52436, 50828, 53786, 50895, 52380, 53871, 51833, 63180, 51020, 54031, 51020, 54739, 54382, 51437, 59136, 51020, 59095, 51105, 50829, 51020, 53756, 51750, 60341, 51020, 53855, 51096, 50897, 53786, 50818, 52380, 50828, 52436, 53756, 51467, 57334, 51020, 61869, 51020, 59971, 51020, 50884, 57309, 57825, 51833, 60741, 51020, 50884, 51974, 53754, 51464, 56802, 51020, 59311, 51020, 58024, 51096, 50820, 51020, 52816, 51750, 52904, 51105, 50937, 51193, 54739, 51187, 57927, 51193, 53905, 51193, 58408, 53786, 50884, 52436, 50828, 52380, 50828, 51193, 53871, 51833, 53594, 51193, 52816, 53754, 51539, 57028, 51193, 55354, 51193, 64915, 51096, 50917, 53477, 59387, 51916, 58145, 51193, 53409, 52436, 50828, 52380, 50846, 53786, 62737, 54749, 51467, 64382, 51092, 56883, 51092, 57297, 50798, 51916, 59644, 51092, 52349, 51092, 53871, 53754, 51437, 59552, 51092, 56924, 51092, 57319, 51096, 50835, 51092, 54739, 51539, 50839, 53870, 50910, 51546, 53756, 51467, 57030, 51546, 56092, 51546, 59720, 52436, 50846, 53786, 50818, 52380, 50828, 51546, 52816, 51916, 53223, 51979, 50839, 52436, 50820, 51546, 54749, 53754, 51437, 58092, 51546, 54069, 51546, 63501, 51105, 54200, 51833, 60341, 51546, 52905, 51096, 50897, 52436, 50828, 53786, 50818, 52380, 50846, 51546, 54749, 51406, 64015, 51546, 54013, 51546, 58854, 51546, 50895, 57309, 57825, 51833, 52767, 52436, 50846, 51979, 50841, 51546, 52816, 53500, 51539, 56802, 51546, 54986, 51546, 61385, 51096, 53618, 51750, 57667, 51546, 53418, 51105, 50937, 51092, 54739, 51467, 64562, 51092, 54735, 51092, 58408, 52436, 50846, 52380, 50818, 53786, 50884, 51092, 53871, 51916, 53027, 51979, 50841, 52436, 73417, 53871, 53889, 51539, 59224, 51092, 54926, 50945, 51111, 51092, 63865, 53477, 51454, 62235, 57723, 51092, 53035, 52436, 50828, 52380, 50828, 53786, 73417, 52816, 51467, 60752, 51092, 56246, 51092, 59096, 50798, 51916, 57583, 51092, 53685, 65344, 51979, 50846, 52436, 50841, 51092, 53871, 54382, 51437, 57950, 51092, 56419, 51092, 57319, 54967, 50841, 55563, 50805, 51193, 53756, 51437, 67722, 51193, 56933, 51193, 59720, 52436, 50828, 53786, 50818, 52380, 52816, 51833, 63094, 51193, 53829, 51193, 53871, 53754, 51437, 59136, 51193, 54069, 51193, 60955, 51325, 55136, 51833, 60341, 51193, 52437, 51105, 50849, 53786, 50884, 52380, 50846, 52436, 53756, 51406, 56680, 51193, 61869, 51193, 63519, 51193, 50884, 57309, 59579, 51916, 59277, 51193, 52209, 52656, 54200, 53754, 51464, 57398, 51193, 56859, 51193, 58024, 51105, 71867, 52816, 51833, 52904, 51325, 50938, 51020, 54749, 51467, 55698, 51020, 55201, 51020, 58408, 53786, 50818, 52436, 50828, 52380, 68204, 53871, 51916, 53027, 51020, 52816, 53889, 51464, 57028, 51020, 54255, 51020, 66119, 74809, 51020, 50884, 53477, 51454, 63998, 52763, 52436, 50841, 52380, 50828, 53786, 73938, 54739, 51467, 64382, 51193, 56246, 51193, 57109, 50798, 51916, 57583, 51193, 53650, 52656, 50841, 51193, 52816, 53754, 51464, 57110, 51193, 56046, 51193, 62519, 51105, 50835, 51193, 53871, 51539, 50820, 55563, 50805, 51020, 54739, 51406, 57030, 51020, 57705, 51020, 64600, 52436, 50839, 53786, 50818, 53319, 68127, 53871, 51833, 52761, 51020, 52816, 54382, 51464, 60916, 51020, 53423, 51020, 63655, 51325, 54534, 51833, 57074, 51020, 52437, 69093, 52436, 50841, 53786, 50884, 53319, 68204, 54739, 51467, 68564, 51020, 54660, 51020, 56839, 51020, 50884, 57309, 57393, 51833, 52818, 52656, 68127, 54739, 53754, 51539, 57398, 51020, 54986, 51020, 61385, 51105, 53618, 51916, 58286, 51020, 52565, 51325, 50938, 51061, 54749, 51406, 64562, 51061, 54735, 51061, 58408, 52436, 50839, 53319, 50828, 53786, 53871, 51916, 60362, 51061, 52878, 51061, 52816, 53754, 51464, 57728, 51061, 54525, 51061, 64915, 51325, 50938, 55533, 59387, 51750, 58510, 51061, 53035, 52436, 50839, 53319, 50846, 53786, 77185, 54739, 51437, 60752, 51061, 56883, 51061, 57297, 63998, 58677, 51061, 53650, 52656, 50828, 51061, 54739, 53754, 51539, 57950, 51061, 65493, 51105, 55136, 51437, 50841, 53870, 50865, 51341, 53756, 51406, 64301, 51341, 55927, 51341, 63672, 52436, 50828, 53786, 50818, 52380, 52816, 51833, 63094, 51341, 53829, 51341, 54739, 54382, 51437, 59136, 51341, 53423, 51341, 59095, 51105, 55136, 51833, 60341, 51341, 53855, 51096, 50917, 53786, 50846, 52380, 50818, 52436, 53756, 51406, 57334, 51341, 70690, 51341, 63519, 51341, 50884, 57309, 59579, 51916, 59277, 51341, 50846, 51974, 54382, 51464, 59076, 51341, 59311, 51341, 61385, 51096, 50839, 51341, 53871, 51750, 53115, 51105, 50938, 51020, 54739, 51406, 58159, 51020, 53905, 51020, 65809, 53786, 50884, 52436, 50841, 52380, 68127, 53756, 52223, 53325, 51020, 52816, 53754, 51437, 57028, 51020, 53641, 51020, 66119, 51105, 50917, 53477, 76360, 51916, 57723, 51020, 53533, 52436, 50818, 52380, 50846, 53786, 76162, 54749, 51467, 64382, 51193, 56883, 51193, 60053, 62235, 59644, 51193, 53685, 51193, 53871, 53754, 51437, 57059, 51193, 56046, 51193, 57319, 51105, 50835, 51193, 53871, 51539, 50839, 52354, 50938, 51810, 53852, 51437, 57666, 51810, 56092, 51810, 64600, 52172, 50846, 53786, 50895, 52380, 50818, 51810, 53871, 51833, 53223, 51810, 54739, 53754, 51437, 58092, 51810, 54069, 51810, 64527, 50945, 54200, 51833, 57074, 51810, 53150, 69741, 52172, 50828, 53786, 50884, 52380, 50846, 51810, 54749, 51187, 64561, 51810, 54660, 51810, 58854, 51810, 50884, 57309, 57825, 51916, 53031, 51810, 53871, 53754, 51437, 59076, 51810, 54986, 51810, 61385, 50964, 54200, 51750, 58286, 51810, 52565, 73429, 51546, 54162, 51406, 64562, 51546, 53905, 51546, 58408, 52172, 50846, 52380, 50828, 53786, 50846, 51546, 53871, 51750, 53114, 51546, 52816, 54382, 51464, 59224, 51546, 54926, 51546, 63865, 50945, 50834, 53477, 59387, 51750, 57723, 51546, 53035, 50964, 50925, 52172, 50828, 52380, 50828, 53786, 50818, 51546, 52816, 51467, 64382, 51546, 56883, 51546, 57109, 63998, 58677, 51546, 53650, 51546, 52816, 54382, 51539, 59552, 51546, 56419, 51546, 57319, 50964, 54200, 51464, 50820, 52354, 51060, 51092, 53756, 51467, 67722, 51092, 55927 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 381, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 9, 40286, 163, 119, 6, 272, 6, 272, 401, 6, 274, 10431, 6, 8, 163, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 19, 10, 12701, 4450, 20889, 9, 17445, 13410, 228, 2289, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 10686, 13, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 68134, 51315, 51492, 50426, 50973, 51724, 50861, 51757, 63282, 55524, 50800, 55524, 51620, 50973, 51724, 50861, 51757, 63282, 53975, 69259, 51492, 53975, 51620, 50876, 51724, 50877, 51757, 57031, 57126, 50800, 53975, 62549, 50876, 51724, 50877, 51757, 57031, 57126, 70419, 51036, 57551, 50830, 50916, 60010, 50973, 53244, 51315, 50830, 50877, 53402, 51315, 50830, 50861, 53484, 51315, 50830, 77206, 57551, 50830, 50916, 56908, 50916, 51620, 51315, 50830, 50916, 56080, 50916, 51724, 51315, 50830, 50916, 51798, 51315, 50830, 50916, 50795, 57551, 50830, 50916, 56908, 50973, 53244, 51315, 50830, 50877, 53402, 51315, 50830, 50861, 53484, 51315, 50830, 77206, 53997, 50830, 50900, 56908, 50899, 51620, 50900, 50818, 51085, 63395, 50900, 57083, 50899, 53402, 50900, 69259, 57225, 50899, 53484, 51085, 50830, 64566, 53997, 50830, 50900, 60010, 50876, 53244, 51085, 50830, 50973, 53402, 51085, 50830, 50877, 53484, 51085, 50830, 58537, 53997, 50830, 50989, 56908, 50861, 51620, 51085, 50830, 50989, 56080, 50861, 51724, 51085, 50830, 50989, 51798, 51085, 50830, 50989, 50795, 53997, 50830, 50900, 60010, 50876, 53244, 51085, 50830, 50973, 53402, 51085, 50830, 50877, 53484, 51085, 50830, 58537, 58066, 50830, 50916, 56908, 50916, 51620, 50989, 50818, 51324, 63395, 50989, 51724, 51324, 50830, 50989, 57225, 50989, 51757, 63282, 51324, 75087, 50989, 56637, 63282, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2635, 8, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 21072, 6, 13305, 6, 13602, 6757, 6, 38668, 3038, 6, 8, 21979, 9590, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 8301, 741, 1685, 6, 2351, 10, 980, 219, 8, 2829, 2933, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 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 ]	[ 57530, 50871, 71068, 51140, 54994, 50877, 51631, 50876, 56645, 51736, 50877, 51646, 50900, 59006, 71068, 51461, 56027, 50877, 51798, 50876, 56645, 51923, 50877, 50795, 50799, 54629, 57055, 71068, 51140, 54994, 50877, 51631, 54531, 54666, 76291, 53867, 50807, 52190, 53182, 54629, 56036, 51646, 53792, 60339, 59006, 71068, 51461, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 53792, 56036, 50795, 50799, 60750, 65757, 56730, 55673, 50795, 52157, 54994, 50871, 51631, 56337, 56730, 55673, 50795, 53867, 50807, 52190, 53182, 60750, 59006, 51646, 55995, 57055, 54666, 76291, 51140, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 50877, 50795, 50799, 56337, 65757, 56730, 55673, 50795, 52157, 54994, 50871, 51631, 55995, 55673, 76291, 53867, 50807, 52190, 53182, 55833, 59006, 51646, 54629, 57055, 71068, 51140, 56027, 50877, 51798, 53792, 54666, 76291, 53867, 50807, 52190, 53312, 54531, 56036, 50795, 50799, 54629, 68518, 54828, 55673, 59514, 54994, 50973, 51631, 55995, 56931, 55673, 79564, 53867, 50807, 52190, 53182, 54629, 56190, 51646, 54531, 60339, 54828, 71068, 51461, 56027, 50861, 51798, 50876, 55648, 50795, 53867, 50807, 52190, 53312, 77916, 50799, 54629, 59006, 71068, 51140, 54994, 54629, 56036, 51631, 54531, 54666, 76291, 53867, 50807, 52190, 53182, 54629, 56036, 51646, 53792, 57055, 71068, 51461, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 53792, 56036, 50795, 50799, 60750, 64823, 56730, 55673, 50795, 52157, 54994, 60750, 59006, 51631, 56337, 56730, 55673, 50795, 53867, 50807, 52190, 53182, 60750, 59006, 51646, 55995, 57055, 71068, 51140, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 50877, 50795, 50799, 56337, 64823, 56730, 55673, 50795, 52157, 54994, 56337, 59006, 51631, 55995, 56730, 55673, 50795, 53867, 50807, 52190, 53182, 55833, 59006, 51646, 54629, 57055, 71068, 51140, 56027, 50877, 51798, 53792, 54666, 76291, 53867, 50807, 52190, 53312, 54531, 56036, 50795, 50799, 54629, 58035, 54828, 71068, 51461, 54994, 54629, 54828, 51631, 54531, 54666, 55648, 50795, 53867, 50807, 52190, 53182, 54531, 54828, 51646, 53792, 57055, 71068, 51140, 55755, 50807, 51769, 62550, 53218, 50877, 52108, 51798, 50876, 56645, 52108, 50869, 50598, 50807, 52190, 50807, 54706, 51754, 50877, 60020, 52567, 51326, 50800, 50799, 54629, 60339, 60110, 51140, 50918, 53952, 50918, 53256, 51036, 52892, 51036, 55450, 52356, 58790, 53872, 52115, 50877, 55154, 51631, 54531, 54666, 56645, 51626, 60020, 63263, 51736, 54629, 56036, 55154, 51646, 53792, 57055, 54666, 76291, 51461, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 53792, 56036, 70520, 50799, 60750, 65757, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 50871, 55154, 51631, 56337, 56730, 55673, 51626, 60020, 63263, 51736, 60750, 59006, 55154, 51646, 55995, 57055, 54666, 76291, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 50877, 70520, 50799, 56337, 65757, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 50871, 55154, 51631, 55995, 55673, 56645, 51626, 60020, 63263, 51736, 55833, 59006, 55154, 51646, 54629, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 53792, 54666, 56645, 63734, 61202, 63263, 51923, 54531, 56036, 70520, 50799, 54629, 68518, 54828, 55673, 59514, 50918, 53205, 50918, 54921, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 50973, 55154, 51631, 55995, 56931, 55673, 57022, 51626, 60020, 63263, 51736, 54629, 56190, 55154, 51646, 54531, 60339, 54828, 71068, 51461, 50918, 53205, 50918, 52892, 50918, 53281, 55755, 53872, 55154, 51918, 50861, 51650, 55154, 51798, 50876, 55648, 63734, 61202, 63263, 51923, 50861, 70520, 50799, 54629, 59006, 71068, 51140, 50918, 53952, 50918, 53256, 51036, 52892, 51036, 55450, 51769, 53872, 52115, 54629, 56036, 55154, 51631, 54531, 54666, 56645, 51626, 60020, 63263, 51736, 54629, 56036, 55154, 51646, 53792, 57055, 71068, 51140, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 53792, 56036, 70520, 50799, 60750, 64823, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 60750, 59006, 55154, 51631, 56337, 56730, 55673, 51626, 60020, 63263, 51736, 60750, 59006, 55154, 51646, 55995, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 50877, 70520, 50799, 56337, 64823, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 56337, 59006, 55154, 51631, 55995, 56730, 55673, 51626, 60020, 63263, 51736, 55833, 59006, 55154, 51646, 54629, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 53792, 54666, 56645, 63734, 61202, 63263, 51923, 54531, 56036, 70520, 50799, 54629, 58035, 54828, 71068, 51461, 50918, 53205, 50918, 52892, 50918, 53281, 50918, 55450, 51769, 53872, 52115, 54629, 54828, 55154, 51631, 54531, 54666, 55648, 51626, 60020, 63263, 51736, 54531, 54828, 55154, 51646, 53792, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 52108, 55154, 51798, 50876, 56645, 52108, 54772, 63263, 55000, 51289, 51754, 50877, 56971, 52085, 54093, 51224, 50800, 58106, 50871, 63831, 75377, 50931, 50918, 51140, 53305, 69191, 50807, 51321, 50807, 51769, 62550, 50807, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20425, 5175, 37903, 11, 272, 3694, 6, 4246, 10, 1769, 20889, 8, 10, 33215, 16739, 9, 211, 119, 6, 230, 6, 163, 428, 401, 6, 211, 6, 8, 230, 6, 7630, 14805, 10, 11739, 9, 15352, 30054, 8, 2933, 23225, 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 ]	[ 56236, 51214, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50871, 62405, 51247, 54253, 51247, 51736, 50861, 62369, 52046, 51918, 52046, 58509, 51798, 52046, 58035, 68862, 51247, 50795, 54795, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50871, 62405, 51247, 54253, 51247, 51736, 50861, 62369, 52206, 51918, 52206, 58509, 51798, 52206, 56931, 51923, 52046, 58035, 50807, 54795, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50871, 62405, 51247, 54253, 51247, 51736, 50861, 62369, 52046, 51918, 52046, 58509, 51798, 52046, 56931, 51923, 51247, 58035, 50807, 54795, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50956, 62405, 51247, 54253, 51247, 51736, 50861, 51358, 50435, 52206, 51918, 52206, 51798, 52206, 51923, 52046, 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, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 29589, 6, 9590, 6, 8, 2236, 1021, 2678, 29, 4, 85, 18, 11, 5, 762, 9, 230, 538, 19, 10, 27841, 139, 20889, 6, 1311, 24, 41, 14899, 8, 20902, 619, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 274, 119, 1176, 406, 6, 8, 230, 3639, 7, 5, 32076, 5466, 6, 442, 24, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77629, 59412, 51924, 51505, 50426, 51338, 51427, 51479, 58860, 55760, 50993, 50437, 51893, 52322, 51181, 63576, 52750, 57512, 56387, 50993, 50449, 52004, 63233, 51374, 60467, 52750, 56721, 58001, 50975, 50461, 52700, 51761, 62871, 51059, 51132, 51541, 51855, 51605, 51882, 51036, 52561, 51036, 50856, 52773, 60879, 55239, 51144, 51388, 51280, 51354, 51119, 60947, 77732, 52448, 58860, 58051, 50433, 51132, 52304, 61284, 52700, 50824, 54683, 76821, 54452, 57512, 55760, 52097, 50445, 55723, 51144, 51388, 51280, 51054, 51119, 72432, 77732, 52448, 58614, 58051, 50455, 52700, 51407, 50457, 51842, 62871, 50824, 51132, 51573, 51882, 51605, 52914, 51605, 52561, 51605, 51855, 51353, 50791, 54279, 60879, 55239, 51561, 51354, 51144, 51354, 50885, 51054, 50979, 51054, 50872, 56351, 58860, 51280, 51354, 51119, 51388, 50850, 51054, 50433, 51132, 51049, 57413, 52004, 51290, 57842, 51460, 51479, 73898, 53366, 50993, 50445, 51842, 50449, 51893, 69323, 51561, 51354, 51280, 51388, 51119, 51388, 51349, 51227, 50885, 51054, 50979, 51054, 50872, 56351, 58614, 51144, 50923, 52537, 51932, 50850, 51054, 50457, 51842, 50461, 51390, 52512, 64955, 51059, 51526, 51226, 52561, 51492, 52077, 51492, 52086, 51492, 50791, 54452, 60879, 55239, 51144, 51354, 50848, 77732, 52448, 58860, 51198, 51354, 51308, 51460, 64361, 50433, 51526, 51049, 59380, 51893, 51226, 57097, 52195, 50791, 54452, 57512, 52785, 51300, 50445, 55723, 51144, 51054, 51308, 77303, 77732, 52448, 58614, 51198, 51054, 64361, 50457, 51842, 50461, 52004, 51009, 64955, 51059, 51526, 67116, 54279, 60879, 55239, 51144, 51054, 51308, 77303, 51059, 50872, 52448, 58860, 51198, 51054, 50939, 51059, 50433, 51526, 50859, 51842, 50437, 51924, 51379, 54585, 60397, 54452, 57512, 52537, 51354, 50445, 51842, 50449, 51390, 54526, 51308, 51354, 51144, 51354, 51198, 51460, 51137, 51460, 50848, 77732, 52448, 58614, 53366, 50993, 64361, 50457, 51842, 50461, 51334, 52195, 62871, 50824, 51132, 51090, 51855, 51605, 52561, 51605, 51882, 51036, 50791, 54452, 60879, 55239, 51144, 51354, 51280, 51460, 50885, 51237, 50872, 62461, 58860, 51119, 51354, 50850, 51237, 50433, 51132, 51421, 57514, 51893, 51541, 54683, 79108, 54452, 57512, 55760, 50993, 50445, 55723, 51144, 51460, 51119, 51460, 51132, 51167, 50885, 77732, 52448, 58614, 51280, 51603, 52785, 51483, 58051, 50455, 51334, 50940, 50457, 51842, 50461, 54280, 50824, 58637, 51059, 51416, 51226, 51813, 51605, 52642, 51605, 52077, 51605, 51882, 51605, 50791, 54279, 60879, 79967, 52004, 69555, 51232, 51460, 51706, 51460, 50885, 51237, 50868, 51237, 50847, 62461, 58860, 51280, 51354, 51099, 51460, 50909, 51237, 50433, 51416, 50859, 51842, 50437, 51893, 54527, 50438, 53366, 51300, 51137, 51285, 50791, 54452, 59587, 60347, 51099, 60947, 50993, 50868, 73434, 50852, 65780, 51706, 50923, 51280, 50923, 51232, 51388, 67696, 60603, 56073, 51132, 50824, 51855, 51036, 52561, 51036, 51882, 51036, 50885, 51795, 50872, 51795, 50856, 54452, 55534, 51144, 56073, 51119, 56073, 52785, 51184, 50850, 51795, 50421, 51468, 51544, 59009, 51132, 54441, 51044, 53945, 51132, 52442, 51327, 50860, 51981, 51805, 54452, 52267, 51327, 50802, 52287, 62485, 51468, 52320, 52884, 51327, 50823, 51981, 65414, 51842, 77034, 50802, 52287, 51331, 54279, 52302, 51327, 50823, 51825, 67721, 55239, 51249, 50860, 51457, 52715, 52726, 51249, 50860, 51327, 65174, 53552, 52896, 51457, 50860, 51249, 52715, 54452, 52267, 51249, 50823, 51818, 67505, 60347, 51416, 51379, 51457, 80221, 55469, 53875, 51249, 50823, 51327, 50823, 52894, 51362, 52700, 51103, 51327, 51419, 52287, 51542, 50791, 54452, 55534, 51893, 51562, 51825, 51318, 51249, 51072, 51303, 51066, 50421, 51468, 51544, 59009, 51132, 50840, 51303, 50803, 51249, 52651, 51239, 57514, 54280, 51077, 54908, 51541, 52004, 51417, 51825, 51477, 52932, 51318, 51327, 51419, 50791, 54452, 57512, 51303, 50823, 51414, 67505, 51231, 51059, 51468, 52320, 60370, 51842, 52894, 51237, 52700, 51562, 54193, 51413, 51825, 51477, 52287, 51542, 51327, 51419, 50791, 54279, 55534, 51303, 51066, 51249, 51066, 50421, 51468, 51544, 59009, 51132, 50887, 51303, 50803, 51249, 52651, 51044, 50837, 54908, 51745, 55899, 51417, 54280, 51103, 52932, 51542, 51327, 51542, 51825, 51381, 51414, 51805, 54452, 57512, 51303, 67505, 51231, 51059, 60347, 50852, 50836, 52894, 51541, 52700, 51145, 54193, 51183, 51327, 51542, 52287, 51679, 51825, 51679, 50791, 54452, 55534, 51249, 51072, 51303, 51072, 50421, 51468, 51544, 59009, 51132, 50882, 51249, 50811, 51303, 52651, 51044, 50864, 54908, 51541, 52004, 51183, 54280, 51103, 52932, 51283, 51327, 51381, 51825, 51283, 50791, 54452, 57512, 51414, 67289, 51231, 51059, 51468, 52320, 60370, 51842, 52894, 51138, 51893, 52071, 52700, 52069, 52287, 50978, 51825, 50987, 51327, 61509, 54279, 55534, 51249, 50823, 51303, 67721, 55239, 51338, 51379, 51981, 51592, 51327, 51939, 51818, 51939, 50852, 63567, 55760, 50975, 51964, 51603, 51476, 61445, 52176, 51603, 51181, 50980, 51410, 55886, 59071, 56387, 50993, 50445, 55723, 52533, 51354, 51374, 50980, 51465, 66888, 63793, 58001, 51066, 62871, 51059, 51132, 51573, 51882, 51036, 51855, 51036, 52561, 51036, 51334, 54158, 53672, 60879, 55239, 51144, 51354, 50885, 77732, 52448, 58860, 51280, 51388, 51119, 50923, 52700, 51138, 50850, 53566, 52004, 51541, 50433, 51132, 51864, 53945, 51132, 51551, 51479, 73898, 52785, 51300, 50445, 55723, 51144, 51603, 51893, 51138, 50885, 77732, 52448, 58614, 51280, 51454, 51119, 51354, 58051, 50457, 51842, 58637, 50824, 51416, 50896, 52642, 51291, 51813, 51291, 51882, 51291, 51924, 78487, 54279, 60879, 55239, 51232, 51054, 51099, 51054, 50885, 51745, 50868, 51745, 50847, 62461, 58860, 51280, 51054, 51893, 50948, 50909, 73080, 51390, 51237, 50433, 51416, 51421, 50837, 55511, 52097, 52077, 51048, 52086, 51048, 52561, 63677, 54452, 57512, 53038, 51300, 50444, 51924, 51237, 50445, 60347, 51232, 50923, 51099, 50923, 51280, 51021, 51813, 50967, 52642, 50967, 51882, 50991, 50885, 59568, 56602, 52448, 58614, 68574, 50457, 51842, 62871, 50824, 51132, 51054, 51882, 53520, 52561, 53520, 51855, 53520, 51334, 76347, 54452, 60879, 55239, 51144, 51388, 51280, 51388, 51119, 60947, 77732, 52448, 58860, 58051, 50433, 51132, 51239, 50864, 54908, 68696, 54452, 57512, 51964, 51009, 50445, 55723, 51144, 50923, 51280, 60947, 51237, 50872, 62461, 58614, 51119, 61050, 51237, 50457, 51842, 62871, 50824, 51132, 56168, 54279, 60879, 55239, 51144, 51388, 51280, 51388, 50885, 77732, 52448, 58860, 51119, 61050, 70245, 51132, 50840, 51842, 50436, 52700, 53663, 51132, 63576, 54452, 57512, 52785, 50993, 50445, 60347, 51706, 51388, 51232, 51388, 51137, 51460, 51813, 51048, 52077, 51048, 51882, 51048, 52642, 51048, 50868, 59583, 50939, 52448, 58614, 51280, 50923, 51099, 50923, 53366, 50975, 54280, 51014, 68574, 50457, 51842, 50458, 54193, 50824, 67094, 50824, 51349, 51090, 51855, 51036, 51882, 51036, 52642, 51036, 50791, 54452, 60879, 55239, 51232, 51603, 51280, 51454, 51119, 51460, 50885, 51745, 50868, 62461, 58860, 54193, 69394, 73080, 54193, 59786, 51349, 51406, 50864, 54585, 77799, 54452, 57512, 52537, 51300, 50445, 52700, 51066, 55723, 51232, 51388, 51280, 51021, 51119, 60947, 59568, 52448, 58614, 58051, 50457, 51842, 50461, 52004, 51072, 71803 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 5540, 13305, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 15229, 17384, 12049, 9, 657, 8, 7630, 6568, 10, 3344, 9, 8597, 6, 3284, 2351, 10, 19448, 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, 0, 0, 0, 0, 0, 0 ]	[ 73566, 51197, 65208, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50876, 51124, 50447, 50956, 50812, 60216, 72316, 60763, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 79438, 61581, 60763, 64050, 51176, 79438, 61581, 50914, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50965, 50914, 50435, 50997, 52841, 51040, 51124, 50931, 50914, 50447, 50956, 50812, 72316, 60763, 52903, 70562, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 72316, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 74968, 69517, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50902, 51124, 50447, 70835, 60437, 74968, 64424, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 69796, 63925, 64424, 51103, 62335, 69796, 63925, 50914, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 51124, 50956, 51124, 71356, 50906, 50914, 50435, 50900, 52841, 50956, 51124, 50951, 50914, 50447, 70835, 74968, 64424, 53259, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50447, 70835, 74968, 55973, 50997, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50876, 50914, 50447, 70835, 51034, 50931, 51103, 51247, 51486, 50956, 51486, 53645, 51103, 50965, 64050, 51001, 50914, 51034, 50951, 51800, 50290, 51486, 50899, 51486, 53645, 51103, 50973, 51103, 50951, 51103, 51034, 50931, 51800, 50294, 51486, 50900, 79216, 51001, 61581, 51103, 50965, 64050, 50931, 50914, 51034, 51214, 51486, 51086, 51486, 50951, 51486, 53645, 51103, 76514, 51034, 50951, 51103, 51503, 51486, 50900, 52149, 56040, 51103, 50965, 64050, 50931, 51124, 50447, 68278, 51034, 51081, 51413, 51503, 51486, 56040, 63403, 50914, 50435, 51147, 52841, 50951, 51124, 50956, 63403, 50914, 50447, 66188, 51034, 50951, 51413, 51214, 51486, 53645, 63925, 50914, 50435, 50931, 52841, 50951, 51124, 50871, 63925, 50914, 50447, 66188, 51034, 50951, 51103, 51214, 51486, 51086, 51486, 53645, 63925, 55965, 50871, 63925, 64424, 50914, 51034, 50931, 51103, 51966, 51486, 50997, 51486, 61104, 51103, 50989, 64050, 51001, 50914, 74968, 51486, 50931, 52903, 56759, 67997, 57743, 53308, 50997, 67997, 57743, 53470, 50997, 69796, 61581, 50914, 75424, 67997, 57743, 51519, 50285, 50914, 56363, 67997, 57743, 53466, 51247, 78389, 69796, 61581, 55965, 51247, 78389, 69796, 61581, 50914, 72316, 65208, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50876, 51124, 50447, 50956, 50812, 60216, 72316, 60763, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 79438, 61581, 60763, 64050, 51176, 79438, 61581, 50914, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50965, 50914, 50435, 50997, 52841, 50931, 51519, 50305, 79954, 51001, 54672, 50956, 50812, 63417, 72316, 60763, 52903, 70562, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 72316, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 74968, 69517, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50902, 51124, 50447, 70835, 60437, 74968, 64424, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 69796, 63925, 64424, 51103, 62335, 69796, 63925, 50914, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 51124, 50956, 51124, 71356, 50906, 50914, 50435, 50900, 52841, 50951, 67997, 79954, 50931, 54672, 70835, 58368, 74968, 64424, 53259, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50447, 70835, 74968, 55973, 50997, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50876, 50914, 50447, 70835, 51034, 50931, 51103, 51247, 51486, 50956, 51486, 53645, 51103, 50965, 64050, 51001, 50914, 51034, 50951, 51800, 50290, 51486, 50899, 51486, 53645, 51103, 50973, 51103, 50951, 51103, 51034, 50931, 51800, 50294, 51486, 50900, 79216, 51001, 61581, 51103, 50965, 64050, 50931, 50914, 51034, 51214, 51486, 51086, 51486, 50951, 51486, 53645, 51103, 76514, 51034, 50951, 51103, 51503, 51486, 50900, 52149, 56040, 51103, 50965, 64050, 50931, 51124, 50447, 68278, 51034, 51081, 51413, 51503, 51486, 56040, 63403, 50914, 50435, 51147, 52841, 50951, 51124, 50956, 63403, 50914, 50447, 66188, 51034, 50951, 51413, 51214, 51486, 53645, 63925, 50914, 50435, 50931, 52841, 50951, 51124, 50871, 63925, 50914, 50447, 66188, 51034, 50951, 51103, 51214, 51486, 51086, 51486, 53645, 63925, 55965, 50871, 63925, 64424, 50914, 51034, 50931, 51103, 51966, 51486, 50997, 51486, 61104, 51103, 50989, 64050, 51001, 50914, 74968, 51486, 50931, 52903, 53645, 58801, 60763, 71606, 56217, 50956, 53470, 50900, 58801, 60763, 71606, 56157, 50956, 50849, 71213, 51519, 50285, 57519, 51050, 53466, 51027, 51519, 50285, 61915, 60763, 71606, 50914, 56014, 53470, 51247, 69796, 61915, 60763, 71606, 50914, 51034, 50931, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 62204, 51124, 50447, 60216, 51034, 77113, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 63808, 51124, 50447, 62257, 71213, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 57019, 51124, 50447, 50956, 50812, 71213, 51800, 50290, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 77113, 71213, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 57019, 51124, 50447, 50956, 50812, 71213, 51800, 50295, 51486, 61104, 51103, 50871, 51103, 76514, 77113, 71213, 51103, 51503, 51486, 53523, 51103, 50956, 51103, 50965, 51103, 57019, 51124, 50447, 50956, 50812, 71213, 61581, 55973, 50965, 69796, 51103, 63809, 74127, 60763, 50914, 51034, 50931, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 62204, 51124, 50447, 60216, 51034, 77113, 51234, 51486, 61104, 51103, 50871, 51103, 50965 ]
[ 0, 4688, 20425, 8, 15352, 30054, 3152, 8, 5175, 24904, 6, 42, 2214, 1575, 10, 6878, 11739, 9, 2342, 4467, 6, 81, 9756, 8669, 6, 6755, 12547, 6, 38668, 483, 6, 8, 21072, 6, 70, 1759, 25688, 5, 15229, 556, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2125, 29769, 198, 10, 33215, 16739, 9, 230, 6, 3676, 406, 6, 230, 6, 8, 272, 6, 2351, 41, 7580, 8, 17627, 17274, 5466, 19, 12577, 2933, 8, 9066, 223, 34693, 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 ]	[ 56236, 50426, 59666, 62462, 50700, 50280, 52024, 50438, 59666, 51245, 52596, 59666, 62462, 50799, 59666, 51245, 52483, 59666, 51497, 52446, 59666, 51497, 52596, 59666, 69885, 50799, 59666, 51404, 52483, 75875, 64885, 53090, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52483, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 60691, 51077, 50799, 59666, 51497, 52483, 59666, 69885, 59439, 53090, 50438, 59666, 51404, 52596, 59666, 69885, 50799, 59666, 51404, 52483, 59666, 51404, 52446, 59666, 51404, 52596, 59666, 69885, 60691, 51077, 50799, 59666, 51404, 52483, 75875, 64885, 52024, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52483, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52483, 59666, 62462, 50700, 50280, 52024, 51107, 51991, 50438, 59666, 51245, 52596, 59666, 62462, 50799, 59666, 51245, 52864, 51093, 53363, 50426, 59666, 51497, 52446, 59666, 51497, 52596, 59666, 69885, 50799, 59666, 51404, 52483, 75875, 64885, 53090, 51107, 51991, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52864, 51093, 51623, 50426, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 60691, 51077, 51201, 51077, 50799, 59666, 51497, 52483, 59666, 69885, 59439, 53090, 51107, 51991, 50438, 59666, 51404, 52596, 59666, 69885, 50799, 59666, 51404, 52864, 51093, 53363, 50426, 59666, 51404, 52446, 59666, 51404, 52596, 59666, 69885, 60691, 51077, 50799, 59666, 51404, 52483, 75875, 64885, 52024, 51107, 51991, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52864, 51093, 53363, 50426, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 51752, 52325, 51596, 50802, 50799, 75875, 51752, 52410, 51606, 52038, 59666, 62462, 52143, 50987, 51335, 51264, 51789, 52030, 52143, 58346, 59666, 62462, 52143, 61255, 52143, 58038, 59666, 62462, 52143, 60077, 52143, 50987, 50799, 59666, 62462, 52143, 61062, 52143, 58192, 75875, 52143, 60539, 52143, 58346, 75875, 52143, 61255, 52143, 58038, 59666, 69885, 52143, 60077, 52143, 50987, 51752, 50802, 50799, 59666, 69885, 52143, 50987, 51752, 52410, 52143, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 58348, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 61255, 51887, 58038, 75875, 51887, 60077, 51699, 50987, 51752, 50802, 50799, 75875, 51699, 50987, 51752, 52410, 51699, 50987, 51606, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 50987, 51596, 52313, 51883, 50987, 51752, 58348, 59666, 69885, 51883, 60077, 51883, 50987, 52155, 50824, 50799, 59666, 69885, 51883, 61062, 51883, 50987, 51565, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 61255, 51883, 58038, 59666, 69885, 51883, 60077, 51699, 50987, 51752, 50802, 50799, 59666, 69885, 51699, 51363, 51752, 52410, 51565, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 58348, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51565, 59101, 75875, 51887, 60539, 51887, 50987, 51565, 61445, 75875, 51887, 61255, 51887, 50987, 51789, 52175, 75875, 51887, 50987, 51596, 52325, 51887, 50987, 51752, 50802, 50799, 75875, 51887, 50987, 51752, 52410, 51887, 50987, 51606, 52038, 59666, 62462, 52143, 50987, 51335, 51264, 51789, 52030, 52143, 58346, 59666, 62462, 52143, 61255, 52143, 58038, 59666, 62462, 52143, 60077, 52143, 50987, 50799, 59666, 62462, 52143, 61062, 52143, 58192, 75875, 52143, 60539, 52143, 58346, 75875, 52143, 61255, 52143, 58038, 59666, 69885, 52143, 60077, 52143, 50987, 51752, 50802, 50799, 59666, 69885, 52143, 50987, 51752, 52410, 52143, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 58348, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 61255, 51887, 58038, 75875, 51887, 60077, 51699, 50987, 51752, 50824, 50799, 75875, 51699, 50987, 51752, 51795, 50420, 51699, 50987, 51606, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 50987, 51596, 52313, 51883, 50987, 51752, 52737, 50450, 59666, 69885, 51883, 60077, 51883, 50987, 52155, 50824, 50799, 59666, 69885, 51883, 61062, 51883, 50987, 51565, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 61255, 51883, 58038, 59666, 69885, 51883, 60077, 51699, 50987, 51752, 51184, 50799, 59666, 69885, 51699, 51363, 51752, 77076, 51565, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 52737, 50450, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51565, 59101, 75875, 51887, 60539, 51887, 50987, 51565, 61445, 75875, 51887, 61255, 51887, 50987, 51789, 52175, 75875, 51887, 50987, 51596, 52325, 51887, 50987, 51752, 51732, 50799, 75875, 51887, 50987, 51752, 77076, 51887, 50987, 51606, 52038, 59666, 62462, 50700, 50280, 50805, 52143, 69237, 61373, 50805, 51789, 52030, 50700, 50280, 50805, 52143, 61098, 52446, 59666, 62462, 50700, 50280, 50805, 52143, 57616, 76464, 50700, 50280, 50805, 52143, 61098, 52596, 59666, 62462, 50700, 50280, 50805, 52143, 69237, 57314, 51886, 51127, 50456, 50700, 50280, 50805, 52143, 61098, 50805, 50799, 59666, 62462, 50700, 50280, 50805, 52143, 57616, 71510, 50700, 50280, 50805, 52143, 61098, 52483, 75875, 50700, 50280, 50805, 52143, 69237, 57314, 51673, 51218, 50432, 50700, 50280, 50805, 52143, 61098, 52446, 75875, 50700, 50280, 50805, 52143, 57616, 76464, 50700, 50280, 50805, 52143, 61098, 52596, 59666, 69885, 50700, 50280, 50805, 52143, 69237, 76375, 50700, 50280, 50805, 52143, 61098, 50805, 51752, 51184, 50799, 59666, 69885, 50700, 50280, 50805, 52143, 57616, 57314, 51752, 77076, 50700, 50280, 50805, 52143, 61098, 50805, 51606, 54107, 75875, 64885, 50805, 51887, 69237, 76374, 64885, 50805, 51887, 61098, 50805, 51789, 52125, 75875, 64885, 50805, 51887, 57616, 57314, 51596, 52313, 64885, 50805, 51887, 61098, 50805, 51752, 51732, 50450, 75875, 64885, 50805, 51887, 69237, 76375, 64885, 50805, 51887, 61098, 50805, 52155, 50824, 50799, 75875, 64885, 50805, 51887, 57616, 71510, 64885, 50805, 51887, 61098, 50805, 51606, 54107, 75875, 64885, 50805, 51887, 69237, 76374, 64885, 50805, 51887, 61098, 50805, 51789, 52125, 75875, 64885, 50805, 51887, 57616, 76464, 64885, 50805, 51887, 61098, 52596, 75875, 60691, 50805, 51887, 69237, 76375, 60691, 50805, 51699, 61098, 50805, 51752, 51732, 50799, 75875, 60691, 50805, 51699, 57616, 57314, 51752, 77076, 60691, 50805, 51699, 61098, 50805, 51606, 54107, 59666, 69885, 59439, 50805, 51883, 69237, 76374, 59439, 50805, 51883, 61098, 50805, 51789, 52125, 59666, 69885, 59439, 50805, 51883, 57616, 57314, 51596, 52313, 59439, 50805, 51883, 61098, 50805, 51752, 51732, 50450, 59666, 69885, 59439, 50805, 51883, 69237, 76375, 59439, 50805, 51883, 61098, 50805, 52155, 50824, 50799, 59666, 69885, 59439, 50805, 51883, 57616, 71510 ]
[ 0, 713, 765, 5175, 2214, 6, 19, 10, 11602, 9, 3495, 6, 1575, 10, 15352, 30054, 21979, 8669, 816, 11, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 19448, 6, 5679, 26709, 5466, 19, 10, 3366, 219, 6, 980, 219, 16464, 4, 20, 33215, 16739, 1171, 211, 6, 163, 428, 6, 8, 211, 119, 406, 6, 1271, 7, 5, 2214, 18, 33535, 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 ]	[ 54458, 50426, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50979, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50979, 51148, 64170, 51803, 50420, 50939, 76906, 53160, 51313, 50432, 50872, 65680, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50872, 51148, 50872, 52096, 64170, 51803, 50420, 50909, 76906, 53160, 51313, 50432, 50848, 65680, 50850, 59791, 50847, 72269, 50850, 51318, 50456, 50848, 51148, 64170, 78377, 50850, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50979, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50979, 51148, 64170, 51803, 50420, 50939, 76906, 53160, 51313, 50432, 50848, 65680, 50850, 59791, 50847, 72269, 50850, 51318, 50456, 50848, 51148, 64170, 51803, 50420, 50850, 76906, 53160, 51662, 50432, 50848, 51313, 50438, 50850, 59791, 50847, 51662, 50450, 50850, 51662, 74015, 55126, 51688, 54335, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50979, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50979, 51148, 64170, 51803, 50420, 50939, 76906, 53160, 51313, 50432, 50872, 51313, 50438, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50872, 52096, 64170, 51803, 50420, 50909, 76906, 53160, 51313, 50432, 50848, 65680, 50850, 59791, 50847, 72269, 50850, 51318, 50456, 50848, 51148, 64170, 51803, 50420, 50850, 76906, 51332, 51313, 50432, 50885, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50885, 51148, 64170, 51803, 50420, 50939, 76906, 51171, 51313, 50432, 50885, 65680, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50885, 51148, 64170, 78377, 50909, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 72442, 51007, 68537, 50988, 51313, 50432, 50848, 65680, 50885, 59791, 50939, 72269, 79845, 50456, 50848, 51148, 76952, 51803, 57783, 76906, 51751, 51313, 50432, 51037, 65680, 50885, 59791, 50847, 72269, 79845, 50456, 51037, 51148, 64170, 51803, 57783, 58187, 51164, 51313, 50432, 50885, 54137, 50885, 59791, 50850, 72269, 50885, 54509, 64583, 63516, 51803, 57783, 58187, 51171, 51313, 50432, 50946, 65680, 50885, 59791, 50872, 51313, 50450, 79845, 50456, 50946, 51148, 61464, 52096, 57783, 76906, 50988, 51313, 50432, 50848, 65680, 50885, 59791, 50939, 72269, 79845, 50456, 50848, 51148, 76952, 51803, 57783, 76906, 51751, 51313, 50432, 51037, 65680, 50885, 59791, 50847, 72269, 79845, 50456, 51037, 51148, 64170, 51803, 57783, 76906, 51171, 51313, 50432, 50946, 65680, 50885, 59791, 50872, 51313, 50450, 79845, 50456, 50946, 51148, 61464, 55408, 57783, 76906, 51171, 51662, 50432, 50946, 51313, 50438, 50885, 59791, 50872, 52096, 50450, 50885, 51662, 74015, 55126, 51688, 54335, 50988, 51313, 50432, 50848, 65680, 50885, 59791, 50939, 72269, 79845, 50456, 50848, 51148, 76952, 51803, 57783, 76906, 51751, 51313, 50432, 51037, 65680, 50885, 59791, 50847, 72269, 79845, 50456, 51037, 51148, 64170, 51803, 57783, 58187, 51164, 51313, 50432, 50885, 54137, 50885, 59791, 50850, 72269, 50885, 54509, 64583, 63516, 51803, 57783, 58187, 51171, 51313, 50432, 50946, 65680, 50885, 59791, 50872, 52151, 50450, 79845, 50456, 50946, 52096, 52591, 50885, 58187, 51332, 51313, 50432, 50885, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50885, 51148, 64170, 51803, 50420, 50939, 76906, 51171, 51313, 50432, 50885, 65680, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50885, 51148, 64170, 78377, 50909, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51662, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 33928, 8, 15352, 30054, 1619, 2214, 14, 28337, 4785, 9, 15855, 8, 3495, 930, 6, 4246, 3459, 8669, 6, 13305, 6, 18558, 6, 2236, 1021, 2678, 29, 6, 8, 5730, 2342, 4467, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 230, 6, 274, 6, 8, 211, 119, 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 ]	[ 56236, 50796, 50799, 52756, 50976, 55161, 50802, 52123, 51100, 51783, 51100, 51722, 73555, 52756, 56733, 55161, 50823, 52123, 50937, 51783, 50917, 51722, 50938, 50430, 52756, 50803, 55161, 50803, 51783, 50812, 52123, 50833, 51722, 60462, 52756, 51010, 50434, 55161, 50950, 52123, 50833, 51783, 50897, 51722, 52841, 52817, 51059, 56195, 51059, 52123, 51134, 51722, 51241, 51555, 51294, 50799, 52817, 50802, 75460, 50802, 52623, 50873, 51555, 50805, 51722, 60010, 52817, 50823, 75460, 50803, 52623, 50878, 51555, 50917, 51722, 50938, 50430, 52817, 50803, 75460, 50803, 52623, 50812, 51555, 50812, 51722, 59662, 52817, 51010, 75460, 50803, 52623, 50878, 51555, 50910, 51722, 56057, 53036, 51795, 61643, 51795, 51783, 51486, 51584, 51692, 51612, 51692, 50796, 53951, 52639, 51068, 50820, 53924, 52896, 51261, 51870, 50801, 53083, 52756, 51066, 55161, 51072, 52123, 51178, 51722, 51178, 51783, 51255, 51068, 58810, 50895, 53458, 52512, 52756, 50860, 52123, 50917, 69328, 51722, 58679, 55376, 56195, 54675, 52756, 50802, 56195, 50976, 52123, 50873, 51783, 50901, 51722, 67513, 58810, 54292, 51560, 51527, 52817, 50860, 75460, 50976, 52623, 50901, 51722, 50849, 51555, 55937, 53083, 52817, 50976, 75460, 50976, 52623, 51177, 51555, 51178, 51722, 51121, 51068, 58810, 61612, 51783, 51295, 51567, 51310, 51584, 51115, 50458, 53036, 51072, 61643, 51029, 53202, 76448, 61266, 51408, 51160, 54280, 51238, 53951, 52670, 51068, 58810, 71362, 51229, 64408, 51674, 59392, 53814, 51209, 71588, 51547, 51000, 53924, 53439, 51256, 67171, 51366, 60438, 51261, 52512, 51256, 51142, 51408, 50971, 51322, 50904, 52756, 50976, 55161, 51446, 52123, 51894, 51722, 51894, 50906, 51397, 51081, 69561, 59673, 52756, 50894, 50902, 58379, 52805, 51322, 50995, 51256, 50981, 51408, 65910, 51194, 51068, 58810, 60305, 52756, 58150, 52756, 50894, 51081, 70187, 50837, 53458, 51870, 51209, 50941, 51408, 50941, 51322, 50870, 52817, 50975, 56195, 51196, 50861, 51218, 50951, 78689, 60161, 53200, 51505, 50902, 56858, 52670, 51322, 51412, 51209, 51101, 51408, 51480, 50951, 61181, 58810, 60063, 52086, 50924, 52123, 50830, 51722, 50830, 51612, 50959, 51081, 63782, 53115, 51560, 52512, 51772, 50941, 51209, 50822, 51408, 51022, 75460, 51047, 52914, 51101, 52623, 51145, 51722, 51145, 52184, 50959, 50956, 51397, 51001, 51177, 50951, 74254, 59673, 52817, 67573, 58379, 52805, 51209, 51480, 51772, 51480, 51408, 51309, 54324, 53936, 50319, 51363, 51068, 58810, 62962, 53200, 79191, 53664, 51932, 51081, 57990, 50837, 53202, 51870, 51451, 50851, 51229, 50907, 61643, 51413, 51882, 50873, 51783, 51127, 51584, 51047, 51567, 50959, 70252, 50876, 62244, 77322, 69237, 59891, 53200, 50950, 63714, 55506, 58964, 54324, 52038, 51229, 51233, 51451, 51277, 51256, 51337, 50931, 56472, 50942, 50999, 51100, 51068, 58810, 61361, 54324, 50930, 65281, 53887, 53115, 51261, 51870, 51322, 51022, 51408, 51123, 51256, 51126, 52756, 50976, 55161, 51047, 52123, 51945, 51722, 52069, 50906, 51295, 51081, 69564, 59673, 52756, 53936, 50318, 58379, 52805, 51256, 51534, 51408, 51534, 51322, 51534, 50931, 51194, 51068, 58810, 62962, 52756, 59868, 51081, 70187, 50837, 53458, 52097, 51408, 50912, 51322, 50870, 53200, 51072, 56195, 51336, 50861, 51351, 50902, 76198, 73908, 60161, 50902, 59975, 52670, 51322, 51412, 51209, 51337, 51408, 51534, 79386, 51068, 58810, 60063, 52086, 50910, 52123, 50830, 51722, 50830, 51612, 50959, 51081, 51381, 50804, 53115, 51560, 51870, 51408, 50874, 51772, 50941, 51209, 50867, 52914, 51242, 75460, 51183, 52623, 51183, 51722, 51183, 52184, 50959, 50951, 65271, 64742, 59621, 60372, 52817, 56695, 50906, 55284, 52805, 51772, 51411, 51209, 51363, 51408, 51242, 54324, 50976, 50956, 51534, 51068, 58810, 60203, 53200, 51045, 74735, 63503, 51001, 59809, 50837, 53202, 51745, 51229, 50822, 51256, 50864, 51451, 50904, 53664, 50976, 61643, 51103, 51882, 50805, 51783, 51047, 51584, 51183, 51567, 50959, 50871, 73797, 62377, 67611, 58679, 59891, 53200, 58026, 50871, 71441, 58964, 54324, 52038, 51451, 51337, 51229, 51233, 51256, 51194, 70178, 50931, 51588, 50325, 61181, 58810, 61361, 54324, 73312, 51140, 67128, 53887, 53115, 51261, 51870, 51322, 50867, 73839, 51408, 50822, 52756, 50811, 55161, 51413, 52123, 51945, 51722, 52071, 50906, 51562, 51081, 58435, 55384, 52756, 74176, 52756, 74661, 50902, 79543, 52805, 51322, 51363, 51256, 51400, 51408, 51411, 50931, 51221, 51068, 58810, 62962, 52756, 69317, 51081, 57765, 50837, 53458, 52512, 51408, 50941, 51209, 50886, 51322, 50864, 52817, 50993, 56195, 51196, 50861, 51417, 50902, 65524, 66699, 50841, 53951, 52670, 51408, 51419, 51322, 51411, 51209, 51043, 50951, 67922, 73978, 51162, 51068, 58810, 60063, 52086, 50910, 50902, 53887, 53115, 51560, 51870, 51209, 50886, 51772, 50941, 53527, 50993, 75460, 51127, 52914, 50901, 54099, 51562, 52623, 51397, 51722, 51413, 50956, 62592, 59673, 52817, 62406, 50854, 51001, 54172, 52805, 51772, 51775, 51209, 51412, 51408, 51309, 50951, 51177, 50906, 51775, 51068, 58810, 62962, 54324, 56575, 54324, 51045, 51001, 56062, 50837, 53202, 51870, 51451, 50851, 51256, 50904, 51229, 50827, 53200, 51603, 61643, 51417, 51882, 50937, 52679, 51218, 51783, 51191, 51584, 51191, 50871, 51218, 79377, 50931, 73908, 50841, 53951, 52670, 51451, 51337, 51229, 51242, 51256, 51412, 60040, 50931, 50879, 51068, 58810, 60063, 53664, 74017, 53832, 53115, 51261, 52512, 51322, 50941, 51256, 50941, 51408, 50912, 54942, 50860, 55161, 51103, 54099, 50917, 52123, 50925, 51783, 50937, 51722, 68995, 77387, 60372, 54942, 59116, 54099, 50833, 52123, 50822, 51783, 50844, 51722, 50844, 50902, 51043, 50931, 51178, 51081, 69362, 52805, 51256, 51043, 51408, 51337, 51322, 51423, 53200, 50802, 54099, 50937, 52123, 50977, 51783, 50937, 51722, 59375, 51255, 51068, 58810, 61612, 52756, 79618, 54099, 50833, 51783, 50822, 52123, 50874, 51722, 50874, 50902, 54597, 50837, 53458, 52512, 51322, 50941, 51209, 50864, 51408, 51126, 53036, 50976, 56195, 51189, 54099, 50849, 51722, 50845, 52123, 50901, 51555, 55143, 62980, 70452, 71673, 55937, 59891, 52817, 72693, 54099, 50812, 51722, 50810, 52123, 50810, 51555, 53497, 52670, 51408, 51534, 51322, 51337, 51209, 51337, 70135, 50951, 64469, 70274, 51221, 51068, 58810, 60063, 52817, 50823, 52123, 50812, 51722, 67316, 54806, 53115, 51560, 51745, 51209, 50864, 51408, 50971, 51772, 50971, 53664, 50823, 75460, 51343, 52623, 50937, 51555, 50849, 51722, 73507, 71321, 51397, 50951, 52098, 50326, 65220, 60372, 53664, 59116, 52623, 50810, 51555, 50844, 51722, 56444, 52805, 51772, 50874, 51209, 50959, 51408, 50827, 53664, 51505, 52623, 50955, 51555, 50937, 51722, 51665, 50319, 51060, 50951, 51828, 50326, 61181, 58810, 60203, 51560, 50894, 53664, 50930, 75460, 50942, 52623, 50833, 51555, 50810, 51722, 50844, 50876, 74068, 50837, 53202, 51745, 51229, 51051, 51256, 51051, 51451, 51142, 52756, 50950, 61643, 50830, 51783, 50833, 51584, 50897, 52679, 61581, 51218, 50876, 62244, 67611, 70401, 60941, 53200, 51045, 62546, 50925, 52123, 50833, 51783, 60392, 52756, 51012, 61643, 62642, 51584, 50873, 51783, 54371, 52670, 51451, 51242, 51229, 51328, 51256, 51212, 50931, 56964, 50942, 50999, 51121, 51068, 58810, 60063, 51140, 56606, 53115, 51261, 52512, 51256, 51142, 51408, 50971, 51322, 50904 ]
[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 10, 38668, 483, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 33704, 5675, 22052, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 4, 590, 10, 20889, 9, 5962, 163, 5683, 36, 7083, 4308, 1001, 43, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 381, 3694, 8, 29769, 198, 5, 163, 119, 8, 3676, 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 ]	[ 54458, 51528, 78782, 51016, 51302, 78782, 51016, 51450, 78782, 51016, 51382, 51175, 50852, 51175, 68742, 50910, 60706, 51043, 67121, 55180, 52018, 56382, 52657, 50910, 60706, 56959, 56034, 54334, 52018, 56983, 51817, 50910, 60706, 51043, 67121, 54815, 52018, 55761, 52657, 57415, 60706, 56959, 56034, 59994, 52657, 54166, 52018, 56249, 52018, 50840, 68742, 50910, 60706, 51043, 67121, 55180, 52018, 56382, 52657, 50910, 60706, 56959, 56034, 54334, 52018, 56983, 51817, 50910, 60706, 51043, 67121, 54815, 52018, 55761, 52657, 57415, 60706, 56959, 56034, 59994, 52657, 54166, 52018, 52411, 70143, 52018, 50840, 77532, 51452, 51593, 51452, 51770, 51452, 77382, 53930, 51043, 67121, 69628, 54718, 51817, 56382, 52657, 50910, 53930, 56959, 56034, 54334, 52018, 56983, 77382, 53930, 51043, 67121, 54815, 51817, 55761, 52657, 57415, 53930, 56959, 56034, 59994, 52657, 54166, 52018, 56249, 52018, 50840, 53534, 50910, 53930, 51043, 67121, 55180, 51817, 56382, 52657, 50910, 53930, 56959, 56034, 54334, 64895, 51593, 50813, 51770, 50813, 52018, 65470, 64895, 51593, 50813, 51770, 52781, 51323, 51043, 51593, 51043, 51770, 51043, 77382, 53930, 51043, 67121, 54815, 51817, 55761, 52657, 57415, 51323, 51043, 51593, 51043, 51770, 51043, 53930, 56959, 56034, 59994, 52657, 54166, 52018, 52411, 56860, 52018, 50840, 50799, 74465, 69965, 52400, 50813, 51415, 50910, 59521, 51043, 67121, 69628, 57705, 74465, 69965, 52400, 53299, 51746, 51025, 51478, 51025, 52400, 51025, 56296, 56382, 55131, 50910, 59521, 56959, 56034, 54334, 56296, 56983, 51415, 50910, 59521, 51043, 67121, 54815, 74465, 69965, 52400, 50813, 56296, 55761, 74465, 69965, 52400, 50813, 55131, 57415, 51746, 51043, 51478, 51043, 52400, 51043, 59521, 56959, 56034, 59994, 55131, 54166, 56296, 56249, 56296, 50840, 50799, 51746, 50878, 73912, 52400, 50878, 51415, 50910, 59521, 51043, 67121, 55180, 56296, 56382, 55131, 50910, 59521, 56959, 56034, 54334, 51746, 51025, 51478, 51025, 52400, 51025, 56296, 56983, 51415, 50910, 59521, 51043, 67121, 54815, 51746, 51025, 51478, 51025, 52400, 51025, 56296, 61190, 55131, 57006, 59521, 56959, 56034, 59994, 55131, 54166, 51404, 51025, 51245, 51025, 51746, 51025, 56296, 52411, 56860, 56296, 50840, 68742, 50910, 60706, 51043, 67121, 69628, 54031, 51404, 53090, 52018, 56382, 52657, 50910, 60706, 56959, 56034, 54334, 52018, 56983, 51817, 50910, 60706, 51043, 67121, 54815, 52018, 55761, 52657, 57415, 60706, 56959, 56034, 59994, 52657, 54166, 52018, 56249, 52018, 50840, 68742, 50878, 60706, 51043, 52615, 51104, 54718, 52018, 55440, 52657, 50878, 60706, 56959, 56189, 54154, 52018, 55467, 51817, 50878, 60706, 51043, 52615, 51104, 53885, 52018, 53352, 56325, 52657, 54356, 58091, 51043, 60706, 56959, 58639, 52657, 53211, 52018, 53352, 56860, 52018, 50813, 50799, 58091, 51043, 51245, 51043, 51746, 51043, 51770, 51043, 51019, 50878, 67121, 69628, 54718, 51817, 55440, 58091, 51043, 51245, 51043, 51746, 51043, 51770, 51043, 51019, 54566, 56034, 54334, 51817, 55467, 58091, 51043, 51245, 50915, 51746, 50915, 51770, 50915, 51019, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 58091, 50878, 51770, 50878, 51817, 50878, 50799, 58091, 50878, 51245, 77737, 50878, 51770, 50878, 51019, 50878, 67121, 55180, 58091, 51025, 51245, 51025, 51746, 51025, 51770, 51025, 51817, 55440, 51019, 54566, 56034, 54334, 56930, 51025, 51746, 51025, 51770, 51025, 51940, 51025, 51817, 55467, 51019, 50878, 67121, 54815, 56930, 51134, 51746, 51134, 51770, 51134, 51940, 51134, 51817, 56060, 51019, 54566, 56034, 54663, 51817, 50878, 50799, 58091, 50813, 64895, 51593, 50813, 51770, 50813, 51069, 50878, 67121, 58767, 58091, 50813, 51770, 53299, 58091, 51025, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 55440, 51069, 54566, 56034, 54334, 58091, 51025, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 55467, 51069, 50878, 67121, 54815, 58091, 50878, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 56060, 51069, 54566, 56034, 54663, 56591, 50878, 73912, 51011, 50878, 50799, 58091, 51043, 51323, 51043, 51593, 51043, 51770, 51043, 51069, 50878, 67121, 55180, 51011, 55440, 58091, 51043, 51323, 51043, 51593, 51043, 51770, 51043, 51069, 54566, 56034, 54334, 51011, 55467, 56930, 51043, 51323, 51134, 51593, 51134, 51770, 51134, 51069, 50878, 67121, 54815, 51011, 56060, 51069, 54566, 56034, 54663, 51011, 50878, 50799, 66295, 50813, 74465, 69965, 52400, 50813, 51205, 50878, 67121, 58767, 66295, 50813, 52400, 53299, 66295, 51025, 51746, 51025, 51478, 51025, 52400, 51025, 51415, 55440, 51205, 54566, 56034, 54334, 58091, 50813, 51770, 50813, 51415, 60157, 66295, 51101, 51746, 51101, 51478, 51101, 52400, 68535, 51205, 50878, 67121, 54815, 59522, 77737, 51025, 51415, 56060, 51205, 54566, 56034, 54663, 59522, 77737, 50878, 51415, 50878, 50799, 66295, 50845, 51746, 50878, 73912, 52400, 68347, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51415, 55440, 58091, 50878, 51770, 68347, 54566, 56034, 54334, 58091, 51025, 51823, 51025, 51746, 51025, 51770, 51025, 51415, 55467, 51205, 50878, 67121, 54815, 56591, 51025, 51823, 51025, 51746, 51025, 51478, 51025, 51415, 56060, 51205, 54566, 56034, 54663, 56591, 51025, 51404, 51025, 51245, 51025, 51746, 51025, 51478, 51025, 53400, 50878, 67121, 55180, 62059, 51134, 51404, 51422, 51817, 55440, 51019, 54566, 56034, 54334, 51817, 55467, 51019, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 51817, 50878, 53400, 50878, 67121, 55180, 51817, 61484, 53516, 51019, 54566, 56034, 54334, 51817, 61484, 54292, 51019, 50878, 67121, 54815, 58091, 76071, 51746, 50878, 51770, 50878, 51817, 61484, 53595, 58091, 76071, 51746, 50878, 51770, 50878, 51019, 54566, 56034, 54663, 56591, 50878, 73912, 51817, 50878, 65690, 50895, 50799, 58091, 51043, 51245, 51043, 51746, 51043, 51770, 51043, 51019, 50878, 67121, 69628, 54031, 51817, 55440, 58091, 50878, 51245, 77737, 50878, 51770, 50878, 51019, 54566, 56034, 54334, 56591, 50813, 69965, 51817, 60157, 58091, 51109, 51245, 51115, 51746, 51115, 51770, 51115, 56903, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 51817, 50878, 50799, 58091, 50878, 51245, 77737, 50878, 51770, 50878, 51019, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51817, 55440, 58091, 50813, 51770, 76508, 54566, 56034, 58967, 58091, 50813, 51770, 52810, 56930, 51134, 51746, 51115, 51770, 51115, 51940, 51115, 51817, 55467, 51019, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 56591, 50878, 73912, 51817, 50878, 50799, 58091, 76071, 51593, 50878, 51770, 71253, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51011, 55440, 56591, 50878, 51478, 71253, 54566, 56034, 54334, 58091, 51025, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 55467, 51069, 50878, 67121, 54815, 58091, 50878, 51770, 50878, 51011, 56060, 58091, 51043, 51323, 51043, 51593, 51043, 51770, 51043, 51069, 54566, 56034, 54663, 51011, 50878, 50799, 58091, 76071, 51593, 50878, 51770, 71253, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51011, 55440, 58091, 50878, 51770, 71253, 54566, 56034, 54334, 56930, 51134, 51323, 51115, 51593, 51115, 51770, 51115, 51940, 51115, 51011, 55467, 51069, 50878, 67121, 54815, 51011, 56060, 51069, 54566, 56034, 54663, 58091, 50878, 51770, 50878, 51011, 50878 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 19834, 4246, 13305, 8, 24896, 6, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 11926, 10686, 13, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55694, 54644, 51197, 68694, 51043, 56759, 64742, 57348, 59910, 50931, 52658, 51234, 61352, 53264, 50997, 64742, 57348, 74191, 53999, 65111, 51120, 59956, 51081, 52843, 50997, 59537, 68468, 61352, 77948, 51234, 50845, 69024, 59537, 68468, 62244, 54644, 51197, 68694, 53172, 50900, 68468, 57586, 53387, 50997, 57348, 61026, 50845, 78461, 79004, 59537, 68468, 61026, 54644, 51197, 79004, 64742, 57348, 61026, 68694, 50845, 50424, 51234, 51101, 50425, 51050, 53172, 50899, 61026, 59374, 62244, 74191, 72416, 51197, 51101, 50431, 50997, 53387, 50861, 68694, 61352, 51455, 50331, 50845, 52323, 50631, 54346, 51109, 50906, 66038, 54315, 51134, 51197, 51109, 51001, 51134, 62335, 51109, 70585, 63775, 50444, 53557, 65140, 50866, 51057, 54045, 51455, 50290, 61352, 54644, 57196, 79004, 64742, 57348, 74191, 53172, 54045, 50810, 65111, 51120, 59910, 57196, 50810, 51081, 52658, 54045, 51109, 50997, 59537, 68468, 61352, 51109, 78461, 54644, 53557, 79004, 59537, 68468, 62244, 53172, 54315, 51455, 50295, 68694, 53387, 53494, 63327, 68468, 57586, 50845, 51057, 54346, 79004, 57348, 61026, 54644, 53494, 63663, 63142, 57586, 53172, 54315, 51134, 51197, 79004, 57348, 51134, 51001, 51134, 50432, 51234, 50845, 76986, 54644, 54346, 51455, 50290, 61026, 53172, 54315, 51043, 51197, 68694, 64669, 50997, 64742, 57348, 58952, 53557, 50810, 61196, 51057, 54045, 51455, 50290, 61352, 54644, 57196, 79004, 64742, 57348, 74191, 53172, 54045, 50810, 65111, 51085, 59910, 57196, 50810, 51081, 52658, 54045, 51109, 56437, 50900, 51109, 70585, 50951, 51109, 50435, 60834, 78246, 54644, 54315, 63327, 68694, 53172, 53452, 51455, 50285, 59374, 53387, 53494, 64742, 57586, 59198, 68721, 51109, 51057, 53452, 59537, 59374, 54644, 54315, 63327, 59198, 57069, 68694, 50845, 50424, 51234, 51101, 50425, 51050, 53172, 53557, 51134, 50899, 62244, 51134, 64551, 68468, 57586, 50845, 64690, 68468, 61026, 54644, 57196, 74191, 53172, 57196, 51043, 51378, 74191, 64669, 51040, 63142, 61026, 58952, 57684, 50810, 51147, 50810, 51057, 56553, 79004, 68800, 54644, 57196, 71007, 63142, 61026, 74191, 53172, 57684, 50810, 51147, 50810, 51050, 59910, 57196, 50810, 51081, 52658, 57684, 68323, 68468, 61026, 79110, 51109, 78461, 54644, 53557, 79004, 59537, 68468, 62244, 53172, 56553, 51455, 50295, 68800, 53387, 53557, 79004, 64742, 63142, 62244, 50845, 51057, 54315, 51455, 50298, 68694, 54644, 56553, 79004, 64742, 63142, 68800, 53172, 53557, 51134, 51234, 62244, 51134, 58783, 61026, 59374, 50845, 74518, 59198, 57586, 54644, 53557, 61895, 59198, 61026, 62244, 58861, 53557, 52654, 53557, 51455, 50292, 62244, 57069, 51134, 51001, 51134, 50432, 55205, 63327, 64742, 57069, 64510, 50845, 51057, 54045, 51455, 50295, 61352, 54644, 53557, 63327, 64742, 57069, 62244, 53172, 57196, 50810, 74735, 51120, 59910, 53557, 50810, 50931, 52658, 53557, 68323, 59198, 61026, 62244, 51109, 76986, 54644, 54315, 64442, 57348, 57586, 68694, 58861, 54315, 52654, 53452, 73787, 61026, 59374, 53387, 54315, 59537, 59198, 61026, 68694, 50845, 51057, 53494, 51043, 51247, 57586, 51043, 60284, 63327, 64742, 59198, 57069, 58861, 54346, 50810, 50906, 52654, 54346, 51134, 51234, 61026, 51134, 56014, 59537, 68468, 50845, 69024, 59537, 57348, 54644, 54346, 51455, 50300, 59537, 59198, 61026, 53172, 54315, 51043, 51197, 57348, 51043, 51001, 64669, 50997, 64742, 57348, 58952, 53557, 50810, 61196, 51057, 54045, 51455, 50290, 61352, 54644, 57196, 79004, 64742, 57348, 74191, 53172, 54045, 50810, 65111, 51120, 59910, 57196, 50810, 51081, 52658, 54045, 51109, 50997, 59537, 68468, 61352, 51109, 78461, 54644, 53557, 79004, 59537, 68468, 62244, 53172, 54315, 51455, 50295, 68694, 53387, 53494, 63327, 68468, 57586, 50845, 51057, 54346, 79004, 57348, 61026, 54644, 53494, 63663, 63142, 57586, 53172, 54315, 51134, 51197, 79004, 57348, 51134, 51001, 51134, 50432, 51234, 50845, 76986, 54644, 54346, 71115, 79004, 61026, 53172, 53494, 51043, 51176, 51043, 50900, 51043, 77549, 50435, 53452, 76869, 61895, 50810, 59856, 51057, 54315, 63327, 64742, 68694, 54644, 53557, 59537, 59198, 62244, 53172, 54045, 64742, 57348, 61352, 53387, 57684, 59198, 68468, 79110, 50845, 79296, 57196, 57348, 61026, 74191, 54644, 50631, 57037, 63663, 64742, 63142, 57586, 68694, 68800, 67996, 53172, 57196, 79004, 64742, 57348, 74191, 61026, 51109, 51001, 69558, 54045, 51455, 50290, 79004, 61352, 50845, 51057, 53557, 51043, 50899, 59198, 61026, 62244, 51043, 71931, 50902, 51109, 50420, 53492, 51455, 50290, 58861, 54315, 50810, 51001, 52654, 54315, 51134, 51197, 79004, 64742, 57348, 68694, 53387, 52046, 51455, 50295, 64742, 50845, 79296, 50956, 57348, 61026, 68694, 61352, 74191, 51455, 50331, 54644, 50631, 51026, 79004, 61026, 53172, 51176, 63327, 57586, 53387, 50997, 59537, 59374, 50845, 63188, 64742, 68694, 50845, 54569, 59198, 62244, 53172, 50956, 57348, 61352, 53387, 50861, 61026, 74191, 50845, 79296, 51027, 64742, 63142, 68694, 68800, 67996, 51455, 50331, 54644, 50631, 51027, 64742, 63142, 57586, 68694, 68800, 67996, 53172, 51081, 75161, 67997, 58263, 58801, 51159, 51001, 51159, 76133, 66440, 51234, 79892, 50849, 69024, 57743, 58801, 62377, 51110, 50965, 51159, 50902, 75354, 53492, 51519, 50290, 59573, 51001, 52710, 51197, 79892, 67997, 58263, 58801, 68035, 53308, 52046, 51519, 50295, 67997, 50849, 52323, 50622, 50956, 75842, 51159, 50906, 51159, 51001, 51159, 50951, 51159, 51081, 51159, 51405, 72100, 50631, 51722, 51109, 50906, 61148, 52184, 51134, 51197, 51109, 51001, 51134, 69024, 64742, 57348, 63118, 52037, 50810, 50931, 53066, 52290, 51455, 50290, 61352, 53172, 53755, 79004, 64742, 57348, 74191, 53387, 52290, 50810, 65111, 51120, 58952, 53755, 50810, 74735, 51057, 52290, 51109, 50997, 59537, 68468, 61352, 51109, 50420, 51234, 53172, 52037, 79004, 59537, 68468, 62244, 53387, 52184, 51455, 50295, 68694, 50845, 51057, 51567, 63327, 68468, 57586, 54644, 51722, 79004, 57348, 61026, 53172, 51567, 63663, 63142, 57586, 53387, 52184, 51134, 51197, 79004, 57348, 51134, 51001, 51134, 78461, 54644, 51197, 53172, 51722, 51455, 50290, 61026, 53387, 52184, 51043, 51197, 68694, 51043, 69024, 64742, 57348, 63118, 52037, 50810, 50931, 53066, 52290, 51455, 50290, 61352, 53172, 53755, 79004, 64742, 57348, 74191, 53387, 52290, 50810, 65111, 51085, 58952, 53755, 50810, 74735, 51057, 52290, 51109, 56437, 50900, 51109, 70585, 50951, 51109, 50417, 50906, 53066, 50861, 53172, 52184, 63327, 68694, 53387, 51612, 51455, 50285, 59374, 50845, 51057, 51567, 64742, 57586, 59198, 68721, 51109, 50420, 51612, 59537, 59374, 53172, 52184, 63327, 59198, 57069, 68694, 72416, 51234, 51101, 50431, 51050, 53387, 52037, 51134, 50899, 62244, 51134, 74518, 68468, 57586, 50845, 54569, 68468, 61026, 53172, 53755, 74191, 53387, 53755, 51043, 51378, 74191, 51043, 51057, 51040, 63142, 61026, 63118, 53811, 50810, 51147, 53066, 52974, 79004, 68800, 53172, 53755, 71007, 63142, 61026, 74191, 53387, 53811, 50810, 51147, 50810, 51050, 58952, 53755, 50810, 74735, 51057, 53811, 68323, 68468, 61026, 79110, 51109, 50420, 51234, 53172, 52037, 79004, 59537, 68468, 62244, 53387, 52974, 51455, 50295, 68800, 50845, 51057, 52037, 79004, 64742, 63142, 62244, 54644, 52184, 51455, 50298, 68694, 53172, 52974, 79004, 64742, 63142, 68800, 53387, 52037, 51134 ]
[ 0, 250, 33928, 8, 33558, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 32909, 483, 7513, 30, 10, 6755, 12547, 6, 2236, 1021, 2678, 29, 6, 21979, 9590, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 6, 2351, 41, 17627, 17274, 2365, 8, 1619, 12, 3341, 5466, 149, 63, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 55986, 52641, 50843, 52742, 50843, 52743, 72415, 55746, 53169, 50889, 52456, 50807, 51882, 76713, 52517, 51003, 52088, 51159, 52086, 58833, 52456, 51194, 51813, 51110, 52642, 51290, 53788, 51013, 52577, 50812, 52627, 50808, 53826, 50910, 51915, 50880, 53169, 50910, 52456, 50830, 51813, 50940, 51897, 54973, 53336, 52577, 50971, 52627, 50867, 53826, 50827, 53169, 50959, 52456, 50955, 51813, 50858, 75275, 55893, 51915, 59190, 52928, 51984, 50810, 52577, 50867, 52627, 50857, 53826, 50862, 51726, 50809, 53169, 50955, 52456, 50822, 51813, 55508, 51179, 54973, 52975, 52078, 50808, 52577, 50800, 52627, 50800, 53826, 50952, 70310, 53169, 51518, 52456, 51486, 51813, 51941, 54680, 53237, 53294, 51098, 50889, 52577, 51000, 52627, 50874, 53826, 50851, 51915, 53243, 51392, 54973, 52210, 52577, 50886, 52627, 50857, 53826, 50844, 51915, 50840, 75275, 53409, 52078, 51128, 52577, 50840, 52627, 50800, 53826, 50808, 51726, 54898, 51139, 54973, 53650, 51150, 50862, 52577, 50941, 52627, 50867, 53826, 50874, 76910, 67178, 50895, 53788, 50807, 52577, 50808, 52627, 50808, 53826, 50800, 51915, 52773, 51130, 54973, 53336, 52577, 51000, 52627, 50904, 53826, 50874, 75275, 55133, 51915, 55892, 53150, 51984, 50810, 52577, 50813, 52627, 50813, 53826, 50813, 51726, 50809, 53169, 50914, 52456, 51112, 51882, 51290, 53659, 54973, 52975, 52078, 50812, 52577, 50808, 52627, 50808, 53826, 50808, 51368, 52634, 51130, 53237, 53294, 74808, 52577, 50941, 52627, 50874, 53826, 50844, 51915, 50840, 52517, 51267, 52088, 51112, 52086, 51290, 52453, 54973, 53239, 52577, 50857, 52627, 50867, 53826, 50810, 51915, 50809, 67178, 53035, 52078, 50854, 52577, 50812, 52627, 50800, 53826, 50812, 51726, 50887, 52456, 51056, 51813, 51162, 52642, 51016, 55605, 54973, 53685, 52577, 50867, 52627, 50820, 53826, 50813, 76910, 72112, 50841, 56950, 50807, 52569, 50840, 52930, 50808, 54337, 50812, 51482, 50887, 52517, 51141, 52088, 50983, 51855, 51362, 51897, 54973, 53829, 52569, 50837, 52930, 50886, 54337, 50867, 75275, 54069, 51482, 56500, 52992, 51793, 50808, 52569, 50813, 52930, 50813, 54337, 50857, 51425, 55960, 51179, 54973, 52844, 53240, 50897, 52569, 50809, 52930, 50800, 54337, 50808, 51265, 50887, 52517, 51790, 52088, 51591, 51855, 51977, 54680, 53237, 53294, 51216, 51048, 52569, 50886, 52930, 50857, 54337, 50886, 51482, 53345, 51392, 54973, 53041, 52569, 50857, 52930, 50857, 54337, 50857, 51482, 51421, 53584, 53035, 53240, 50867, 52569, 50809, 52930, 50808, 54337, 50836, 51425, 55960, 51139, 54973, 53563, 51389, 50941, 52569, 50837, 52930, 50857, 54337, 50886, 51265, 50809, 67178, 50841, 56950, 51013, 52569, 50809, 52930, 50812, 54337, 50812, 51482, 52773, 51130, 54973, 56051, 52569, 50941, 52930, 50886, 54337, 50941, 75275, 54069, 51482, 56500, 52639, 51793, 50800, 52569, 50825, 52930, 50867, 54337, 50867, 51425, 50890, 52088, 51227, 51855, 51227, 51882, 51235, 53659, 54973, 52209, 53240, 50862, 52569, 50809, 52930, 50800, 54337, 50812, 51265, 54898, 51130, 53237, 53294, 51216, 51048, 52569, 50886, 52930, 50886, 54337, 50867, 51482, 50840, 52088, 51346, 51855, 51227, 52086, 51227, 52453, 54973, 53041, 52569, 50867, 52930, 50862, 54337, 50813, 51482, 50840, 67178, 53083, 53240, 50844, 52569, 50836, 52930, 50808, 54337, 50812, 78709, 52088, 50807, 51855, 51016, 52642, 51175, 55605, 54973, 54450, 51389, 50820, 52569, 50857, 52930, 50867, 54337, 50822, 51265, 50887, 72112, 50839, 53202, 51013, 52569, 50809, 52930, 50808, 53826, 50808, 53760, 50880, 52088, 50893, 51855, 50795, 52086, 51175, 51897, 54973, 56051, 52569, 50904, 52930, 50864, 53826, 50874, 75275, 57466, 52088, 50854, 51855, 50854, 51882, 73427, 53760, 57259, 52712, 51216, 50836, 52569, 50904, 52930, 50867, 53826, 50867, 52331, 50840, 52088, 50942, 51855, 50897, 52525, 51173, 56239, 54973, 52975, 51150, 50813, 52569, 50840, 52930, 50812, 53826, 50833, 51915, 50887, 52088, 51472, 51855, 51472, 51882, 51661, 54680, 53237, 53294, 51140, 51016, 52569, 50867, 52930, 50886, 53826, 50886, 53760, 53672, 51392, 54973, 52878, 52569, 50825, 52930, 50867, 53826, 50874, 53760, 50890, 75275, 53533, 51150, 50810, 52569, 50855, 52930, 50855, 53826, 50854, 52331, 52634, 51139, 54973, 62786, 52088, 50854, 51855, 50854, 52086, 57830, 51216, 50825, 52569, 50825, 52930, 50867, 53826, 50874, 51915, 50887, 67178, 58323, 52456, 50925, 51813, 50854, 51882, 50858, 53458, 50980, 52627, 50840, 54767, 50812, 54337, 50812, 54117, 50880, 52517, 51364, 52525, 51661, 52453, 54973, 56051, 52627, 50864, 54767, 50886, 54337, 50867, 75275, 54069, 54117, 59190, 52639, 51668, 50874, 52627, 50813, 54767, 50857, 54337, 50813, 53180, 52634, 51041, 54973, 53230, 51389, 50812, 52627, 50808, 54767, 50812, 54337, 50800, 51482, 52634, 51130, 53237, 55622, 69606, 52627, 50886, 54767, 50867, 54337, 50886, 54117, 50840, 55683, 50967, 52517, 50967, 52525, 50893, 52453, 54973, 53239, 52627, 50857, 54767, 50857, 54337, 50857, 54117, 50887, 67178, 58275, 53169, 51095, 52456, 50967, 51882, 65399, 51668, 50925, 52627, 50800, 54767, 50836, 54337, 50808, 53180, 52634, 51130, 54973, 79857, 52088, 51100, 50454, 52517, 51100, 52086, 57830, 51389, 50941, 52627, 50813, 54767, 50886, 54337, 50813, 54117, 50887, 72112, 50839, 53788, 51013, 52577, 50840, 52627, 50800, 53826, 50808, 51915, 50887, 52517, 51194, 52088, 51158, 52086, 51175, 51897, 54973, 56051, 52577, 50864, 52627, 50813, 53826, 50822, 75275, 56493, 53169, 51605, 52456, 51605, 51882, 51941, 50423, 51915, 53406, 52992, 51984, 50813, 52577, 50867, 52627, 50813, 53826, 50813, 51726, 52634, 51179, 54973, 52209, 52078, 50897, 52577, 50812, 52627, 50808, 53826, 50808, 51368, 54898, 51139, 53237, 53294, 51098, 50889, 52577, 50904, 52627, 50844, 53826, 50822, 51915, 53243, 51392, 54973, 53239, 52577, 50886, 52627, 50857, 53826, 50857, 51915, 51421, 53584, 53533, 52078, 50854, 52577, 50855, 52627, 50812, 53826, 50812, 51726, 54898, 51139, 54973, 54210, 51150, 50971, 52577, 50827, 52627, 50822, 53826, 50810, 70310, 67178, 50846, 53458, 51016, 52092, 50812, 52627, 50808, 54767, 50808, 54117, 50890, 55683, 51472, 52517, 51291, 52525, 51343, 52453, 54973, 56051, 52092, 50971, 52627, 50886, 54767, 50904, 75275, 54579, 54117, 59190, 52870, 51668, 50813, 52092, 50864, 52627, 50813, 54767, 50822, 53180, 54690, 51041, 54973, 52209, 51389, 50810, 52092, 50808, 52627, 50800, 54767, 50808, 51482, 52634, 51130, 53237, 53294, 51098, 51294, 52092, 50971, 52627, 50886, 54767, 50874, 54117, 50809, 55683, 51175, 52517, 51215, 52525, 50893, 52453, 54973, 53239, 52092, 50864, 52627, 50867, 54767, 50813, 54117, 50887, 67178, 57000, 53169, 51124, 52456, 50991, 51882, 65399, 51389, 50867, 52092, 50808, 52627, 50808, 54767, 50808, 52331, 52634, 51130, 54973, 67641, 52517, 51121, 52088, 50795, 52086, 57830, 51668, 50971, 52092, 50941, 52627, 50813, 54767, 50844, 53180, 50840, 72112, 50841, 53788, 51013, 52577, 50812, 52627, 50800, 53826, 50800, 51915, 50890, 52517, 51178, 52088, 51215, 52086, 50893, 51897, 54973, 56051, 52577, 51128, 52627, 50886, 53826, 50912, 75275, 57466, 53169, 51605, 52456, 51605, 51882, 51941, 50423, 51915, 56500, 52992, 51984, 50844, 52577, 50857, 52627, 50862, 53826, 50862, 51726, 52634, 51179, 54973, 53644, 52078, 50805, 52577, 50855 ]
[ 0, 713, 5175, 2214, 16, 10, 15352, 30054, 8, 20425, 3251, 149, 980, 6, 19, 10, 3366, 219, 8, 11299, 16464, 4, 20, 38668, 483, 1239, 5, 8036, 6, 7513, 30, 10, 6755, 12547, 6, 38668, 20535, 6, 38668, 11212, 6, 8, 38668, 9590, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 1769, 20889, 9, 20598, 13410, 228, 2289, 6, 5, 2125, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 230, 16331, 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 ]	[ 56236, 50456, 53492, 77044, 50816, 53852, 58323, 51553, 50379, 52526, 59190, 50855, 56236, 51146, 52666, 50278, 51941, 50902, 51307, 50931, 51307, 51081, 51307, 50415, 52060, 51012, 51289, 50911, 51224, 51138, 51206, 51021, 50416, 50798, 67040, 51710, 50333, 51297, 50418, 52052, 58387, 51146, 54731, 50342, 67643, 51339, 62574, 50345, 77679, 50871, 54731, 50338, 51851, 60564, 52666, 50342, 51297, 50428, 50902, 54191, 50345, 51851, 74413, 62574, 50321, 57378, 50906, 54731, 50326, 66380, 50902, 55583, 50330, 51128, 50436, 50931, 55583, 50333, 60438, 51081, 54731, 50338, 51000, 50440, 51146, 55583, 50342, 51128, 50442, 51339, 55583, 50345, 51128, 57428, 54731, 50338, 51297, 50746, 50333, 52045, 76495, 54191, 50342, 51851, 50448, 50902, 54731, 50345, 51851, 56415, 55583, 50321, 51319, 50452, 50906, 55583, 50326, 51128, 50454, 50902, 62574, 50330, 60550, 50931, 55583, 50333, 73706, 51081, 55583, 50338, 51128, 50460, 51146, 62574, 50342, 51297, 68818, 54731, 50337, 52666, 50316, 51103, 50902, 51103, 50931, 51103, 50999, 51103, 50416, 52052, 55583, 50340, 51128, 50418, 52912, 62574, 50342, 58387, 51814, 54731, 50345, 67643, 52357, 55583, 50349, 77679, 50871, 55583, 50342, 51851, 56207, 54011, 50345, 51297, 50428, 50876, 62574, 50349, 51851, 50429, 50931, 63432, 50871, 55583, 50318, 52134, 63174, 55583, 50321, 54011, 50321, 59992, 50876, 62574, 50325, 51128, 50436, 50902, 55583, 50328, 60438, 50931, 54731, 50340, 79986, 51103, 50931, 51103, 50999, 51103, 50440, 50999, 55583, 50345, 51297, 50441, 50931, 59721, 51062, 55583, 50349, 51128, 57428, 54731, 50340, 51297, 78933, 54191, 50345, 52134, 50448, 50876, 54191, 50349, 51851, 50449, 50931, 60258, 50931, 63336, 55583, 50321, 51297, 50452, 50877, 55583, 50321, 52666, 50325, 51128, 50454, 50876, 55583, 50328, 60272, 50931, 54731, 50333, 73706, 50999, 55583, 50337, 68248, 50931, 59175, 51062, 55583, 50340, 78693, 50931, 50891, 54594, 59884, 50333, 54731, 50319, 51307, 50951, 51307, 51081, 51307, 50416, 50906, 54731, 50337, 51851, 50418, 51001, 62574, 50340, 51851, 55902, 59884, 50323, 51297, 50421, 50931, 70852, 50931, 78226, 62574, 50326, 77679, 51001, 55583, 50321, 54191, 50331, 57051, 50951, 54731, 50335, 51319, 50428, 51081, 55583, 50338, 51128, 50430, 51405, 55583, 50343, 51297, 50431, 50931, 53575, 51487, 54731, 50347, 71372, 50931, 63633, 50861, 54191, 50338, 51851, 50436, 50906, 54191, 50343, 52134, 50438, 51001, 52666, 50347, 51297, 50440, 50861, 55583, 50323, 51128, 50442, 50931, 50928, 50906, 55583, 50326, 62232, 51001, 54731, 50331, 70003, 50951, 55583, 50335, 63491, 63302, 50448, 51081, 55583, 50338, 60801, 50951, 51609, 50331, 54731, 50343, 79626, 50931, 78014, 51487, 55583, 50347, 51128, 75312, 54191, 50338, 71736, 50906, 52666, 50343, 51297, 50458, 51001, 54191, 50347, 51851, 50460, 50861, 55583, 50323, 54191, 50323, 50886, 55694, 54731, 50335, 52666, 50314, 51103, 50902, 51103, 50951, 51103, 50416, 51001, 55583, 50338, 51297, 50418, 50951, 55583, 50342, 77678, 50951, 55740, 51487, 54731, 50347, 51000, 64309, 54731, 50323, 52386, 50338, 52134, 50424, 50906, 54191, 50342, 51851, 60718, 52666, 50347, 51297, 50428, 50861, 62574, 50323, 51128, 50430, 50906, 55583, 50326, 58255, 50902, 54731, 50323, 52666, 50330, 66380, 50951, 55583, 50335, 51128, 50436, 51081, 62574, 50338, 60438, 50906, 52666, 50330, 54731, 50314, 51103, 77113, 51001, 51103, 50951, 51103, 50439, 50951, 51022, 50440, 50876, 54191, 50335, 51851, 50442, 51001, 54191, 50323, 54191, 50338, 51851, 50444, 50906, 54731, 50323, 70003, 50876, 55583, 50326, 51128, 50448, 51001, 55583, 50328, 60801, 50951, 54731, 50331, 51000, 50452, 50951, 54191, 50326, 55583, 50335, 51128, 50454, 51062, 55583, 50338, 60272, 51405, 54731, 50340, 51000, 50457, 52723, 53120, 53104, 50579, 64550, 50380, 59064, 66767, 51487, 55583, 50343, 51297, 50460, 52052, 55583, 50347, 51297, 50461, 63036, 52903, 58402, 50931, 52666, 50278, 52369, 50899, 51293, 50871, 51293, 50906, 51293, 50902, 51264, 50931, 51264, 51081, 78996, 51224, 51527, 51553, 51009, 51206, 51870, 52356, 77609, 51009, 50416, 51081, 51128, 50418, 51146, 58387, 50931, 54731, 50333, 67643, 51081, 55583, 50338, 51297, 50424, 51146, 55583, 50342, 57051, 51339, 54731, 50345, 72925, 50871, 54191, 50338, 52134, 50430, 50906, 54191, 50342, 51851, 63975, 52666, 50345, 51297, 50434, 50871, 55583, 50321, 51128, 50436, 50906, 55583, 50326, 60438, 50902, 54731, 50330, 51000, 50440, 50931, 55583, 50333, 51128, 50442, 51081, 55583, 50338, 62232, 51146, 54731, 50342, 70003, 51339, 55583, 50345, 51128, 50448, 50871, 54191, 50338, 51851, 65851, 52666, 50342, 54731, 50314, 50981, 50452, 50902, 54191, 50345, 51851, 50454, 50871, 55583, 50321, 60272, 50906, 54731, 50326, 73706, 50902, 55583, 50330, 51128, 50460, 50931, 55583, 50333, 51297, 56229, 52666, 50326, 54731, 50309, 51148, 78872, 50876, 51148, 77113, 50931, 51103, 50999, 51103, 51247, 52208, 50416, 50999, 54731, 50330, 51851, 50418, 51062, 54731, 50333, 52134, 63766, 54731, 50333, 67643, 50999, 62574, 50337, 77679, 51062, 62574, 50340, 57051, 51339, 54731, 50345, 72925, 51814, 55583, 50349, 51128, 74413, 54731, 50340, 51851, 63174, 52666, 50345, 51297, 65281, 54731, 50349, 51851, 50435, 50931, 70356, 63136, 50871, 62574, 50321, 60438, 50877, 54731, 50325, 75770, 51244, 50877, 51244, 50876, 51244, 77113, 50931, 51103, 50999, 51103, 50440, 50876, 62574, 50328, 51297, 50442, 50931, 55583, 50333, 60226, 50999, 54731, 50337, 70003, 51062, 62574, 50340, 63491, 50931, 74783, 61082, 51339, 62574, 50345, 60801, 51814, 54731, 50349, 51000, 50452, 50871, 54191, 50340, 51851, 50454, 50877, 54731, 50345, 51851, 50455, 50931, 55835, 50931, 74783, 66423, 52666, 50349, 51297, 50458, 50871, 55583, 50321, 51128, 50460, 50877, 62574, 50325, 51128, 51755, 50817, 50876, 54731, 50331, 52666, 50311, 51313, 50906, 51313, 50906, 51307, 51001, 51313, 51001, 51307, 50951, 51307, 52046, 52208, 50416, 50931, 55583, 50335, 51297, 50746, 50331, 53454, 50418, 50999, 55583, 50338, 77678, 50931, 53420, 51405, 54731, 50343, 67643, 51487, 62574, 50347, 77679, 50861, 54731, 50338, 51851, 60564, 52666, 50343, 51297, 50427, 50931, 51128, 50428, 50931, 73747, 54191, 50347, 51851, 79580, 62574, 50323, 57378, 50906, 54731, 50326, 66380, 51001, 55583, 50331, 64568, 51001, 64026, 63136, 50951, 55583, 50335, 61389, 51081, 54731, 50338, 79743, 50931, 50908, 50440, 51405, 55583, 50343, 74594, 51001, 78945, 60067, 51487, 62574, 50347, 51128, 58365, 52666, 50338, 51297, 76495, 54191, 50343, 51851, 53761, 52254, 50448, 50931, 50928, 51001, 54191, 50347, 71841, 51001, 78945, 59602, 54731, 50323, 51000, 50452, 50906, 55583, 50326, 51128, 50454, 51001, 55583, 50331, 75429, 51001, 55835, 50951, 54731, 50335, 73706, 51081, 55583, 50338, 51128, 50460, 51405, 55583, 50343, 51297, 50461, 51001, 50870, 51755, 50817, 50951, 52666, 50335, 54731, 50287, 52369, 50906, 52151, 50899, 51313, 50861, 51313, 50902, 51307, 50951, 51307, 51081, 51307, 50416, 51081, 54191, 50338, 51851, 50418, 51146, 54191, 50343, 79786, 50951, 54731, 50335, 67643, 51001, 50870, 51081, 55583, 50338, 51297, 50424, 51146, 55583, 50342, 57051, 51487, 54731, 50347, 51000, 50427, 51001, 51128, 50428, 50861, 54191, 50338, 52134, 50430, 50906 ]
[ 0, 250, 12298, 1619, 19834, 19, 10, 2842, 9, 3495, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 9590, 6, 18558, 6, 8, 23338, 33518, 1264, 6, 7630, 14805, 10, 5823, 1827, 8, 19448, 5466, 1969, 13, 5, 2317, 191, 6, 278, 11, 381, 3694, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 33215, 16739, 9, 83, 406, 6, 211, 6, 8, 3676, 406, 3639, 7, 63, 1144, 26016, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 60859, 50854, 51768, 54181, 50903, 50854, 51955, 50854, 65309, 54217, 50420, 51032, 51286, 51292, 51173, 50429, 51292, 51033, 51032, 57647, 51067, 57659, 51076, 52877, 51076, 50860, 51067, 51021, 50442, 64836, 51032, 54672, 51032, 50865, 50947, 55000, 76889, 51076, 62990, 51076, 54934, 50929, 50924, 51809, 71263, 50947, 65290, 50947, 50936, 50998, 50967, 50427, 50929, 57659, 50929, 50923, 50434, 50998, 50917, 50439, 70590, 50440, 50986, 62077, 50998, 67207, 50986, 51505, 50452, 71927, 50457, 73085, 50960, 51314, 50458, 50998, 51047, 50460, 50929, 51077, 50796, 50436, 51444, 50918, 50437, 50986, 51447, 50438, 51136, 51080, 50440, 51078, 51417, 77035, 51585, 51207, 51103, 57761, 51477, 50425, 50929, 58326, 51076, 60307, 51444, 58346, 52012, 73779, 51207, 72269, 52678, 51060, 50986, 51380, 50998, 56109, 52012, 76172, 52235, 51894, 50799, 53092, 73009, 51311, 51283, 50425, 50960, 51738, 51078, 51109, 50431, 51067, 50977, 50436, 51246, 51127, 50437, 50929, 51148, 50970, 51447, 50439, 51316, 51397, 50454, 51992, 56388, 52235, 50925, 50460, 51131, 51445, 52012, 51671, 60938, 51400, 50986, 51313, 50415, 51992, 72857, 51992, 59852, 51971, 56382, 65783, 50427, 51971, 58812, 51971, 54216, 50998, 51452, 50435, 51971, 50918, 60533, 51218, 50419, 50986, 51351, 50425, 50929, 71783, 51076, 51060, 50431, 50947, 60234, 51444, 51134, 50436, 50986, 51645, 50437, 51078, 64345, 51076, 51356, 50456, 53092, 52567, 51725, 50800, 77035, 51161, 53092, 51714, 50420, 51207, 51714, 50425, 50960, 51134, 50432, 50929, 51742, 50444, 50960, 51295, 50453, 52678, 51754, 53092, 73363, 52235, 51161, 76572, 74258, 51207, 51115, 50425, 51317, 68869, 50929, 51452, 50438, 51317, 71158, 51207, 51283, 50447, 51992, 66604, 52235, 50840, 77035, 50880, 52012, 51655, 50417, 51992, 54658, 51971, 50810, 51131, 52071, 50425, 51971, 53049, 50986, 51692, 50998, 51422, 50430, 51971, 54216, 51076, 75407, 51971, 62439, 51971, 59921, 51076, 66326, 51971, 69279, 51032, 57824, 51067, 51923, 51292, 50901, 50799, 51292, 51310, 51444, 51359, 60434, 51542, 50426, 51078, 51380, 51076, 61271, 51292, 51480, 50438, 50986, 51314, 51078, 51080, 50445, 51292, 51411, 50446, 51270, 54368, 51270, 61082, 51270, 52743, 51389, 50896, 51270, 57830, 51064, 61219, 51207, 56515, 50460, 50960, 53651, 50461, 50970, 51419, 76139, 52311, 51098, 51196, 50947, 51134, 50913, 65685, 55105, 51383, 63463, 54689, 51270, 53869, 56789, 50970, 51965, 50432, 51383, 55335, 75116, 50947, 60465, 52078, 51048, 51064, 51381, 51270, 53869, 55368, 51760, 50936, 50913, 50368, 52051, 53996, 51971, 50911, 51389, 50889, 50913, 60033, 54363, 50947, 59781, 51760, 50383, 52638, 53123, 73706, 68424, 50460, 51850, 51196, 53458, 52512, 51076, 51048, 50913, 62381, 53004, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 51032, 60836, 54056, 51067, 53974, 51076, 53189, 64491, 67490, 52078, 50800, 51064, 52841, 51389, 50897, 50947, 71038, 72613, 59138, 50970, 52597, 51098, 50917, 50960, 56474, 65685, 54914, 51311, 52848, 51971, 50823, 52078, 50849, 50947, 50942, 51383, 55473, 60554, 50970, 51110, 50454, 52527, 52163, 51098, 50865, 61414, 51383, 52245, 61688, 51971, 78030, 62329, 50460, 51725, 53588, 50461, 51207, 52335, 50799, 53399, 51059, 51461, 51685, 50998, 50971, 50986, 52519, 50913, 56017, 76415, 50929, 51749, 66817, 63463, 54689, 51270, 53869, 56789, 52235, 51551, 50432, 50986, 52256, 51383, 55335, 59656, 50929, 51310, 51270, 53869, 55368, 52078, 50917, 50998, 51108, 50913, 50368, 52051, 53996, 51984, 50955, 50986, 51481, 50913, 60033, 52738, 51150, 50917, 51207, 54171, 51383, 53123, 61736, 51725, 51359, 50461, 50986, 51080, 55929, 52097, 51136, 51878, 50929, 51445, 50913, 62381, 53004, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 51270, 52359, 50913, 64491, 67490, 53399, 50894, 51150, 57413, 50913, 54927, 51150, 51191, 51136, 51627, 51270, 68569, 52235, 72473, 53085, 73374, 50986, 51242, 50913, 65685, 53003, 53399, 51226, 51207, 51159, 51383, 55473, 55735, 51150, 50917, 50986, 50959, 51383, 52245, 50886, 59000, 51285, 53092, 51445, 50913, 56017, 64685, 52235, 68655, 51207, 52071, 51383, 63463, 72640, 53399, 55889, 52235, 50865, 51311, 52256, 51270, 53869, 53998, 51992, 50812, 50960, 51381, 50929, 51477, 51383, 55335, 70008, 51992, 53574, 51668, 51095, 51270, 53869, 69506, 52235, 58937, 51311, 51637, 50913, 50368, 52051, 66880, 51992, 58624, 51668, 51227, 50960, 51199, 50913, 60033, 58014, 50929, 61703, 51383, 53123, 51000, 56098, 51472, 51574, 51307, 51270, 55473, 60209, 51311, 53588, 50420, 50998, 51097, 50913, 60776, 50913, 58115, 50929, 51174, 51270, 54951, 51270, 52373, 59825, 51270, 58964, 50913, 64115, 54149, 51067, 51267, 50428, 61830, 50431, 50929, 51452, 65304, 62425, 51270, 63795, 50998, 51148, 50435, 51270, 60591, 51270, 54728, 51984, 51267, 51076, 51183, 50913, 72613, 73946, 51270, 54758, 50913, 52800, 51668, 50849, 51383, 55473, 72584, 51992, 51014, 50455, 52678, 52163, 51984, 50987, 51383, 55473, 57187, 51992, 51033, 54389, 50807, 52012, 51312, 51131, 51312, 50986, 51312, 50998, 51253, 50913, 56017, 60209, 51971, 52195, 66817, 63463, 54689, 51668, 51227, 50960, 51203, 53092, 51484, 51078, 51576, 51270, 53869, 63726, 51311, 52034, 50432, 51383, 55335, 51126, 50436, 51725, 51312, 50437, 50998, 51645, 50986, 52048, 57385, 51345, 50929, 51423, 51270, 53869, 55368, 50913, 50368, 52051, 56197, 53805, 51381, 50448, 50998, 50932, 51317, 52011, 50450, 51868, 51235, 50947, 51253, 50913, 60033, 52738, 51383, 53123, 74445, 51444, 51535, 50461, 68104, 50998, 51775, 56950, 51356, 51321, 52501, 62381, 64936, 50929, 60115, 50986, 51108, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 50998, 51233, 51270, 52359, 65244, 51321, 53522, 64491, 51319, 50433, 51321, 54034, 51321, 57892, 50986, 51314, 51444, 64488, 51273, 51343, 51136, 51148, 51321, 56428, 72613, 68569, 51078, 51878, 50444, 52678, 50993, 50913, 65685, 53003, 50913, 74635, 59994, 51992, 62620, 51389, 50977, 51383, 52245, 57187, 52235, 51014, 53458, 50918, 51207, 51562, 50913, 65685, 60209, 52235, 51379, 50420, 51311, 51824, 50960, 51058, 78445, 51383, 63463, 64761, 51992, 51541, 50426, 51311, 51142, 61414, 50929, 51376, 52123, 50807, 51555, 51003, 51902, 50943, 51270, 53869, 53998, 76441, 62151, 50929, 51423, 51383, 55335, 59656, 51668, 51157, 51207, 51080, 52089, 50807, 51902, 50889, 51612, 50807, 51270, 53869, 74577, 53568, 59808, 53729, 53114, 51311, 51123, 61811, 50929, 68723, 50368, 52051, 66880, 53568, 64072, 51563, 50940, 50449, 50929, 58038, 51261, 51013, 51311, 50925, 50960, 50910, 51783, 50807, 51722, 50943, 52170, 61559, 60033, 61425, 51292, 53176, 51786, 50822, 51311, 50878, 50960, 50925, 78125, 51383, 53123, 61736, 51563, 50808, 54389, 51446, 52012, 51127, 52041, 51591, 51584, 51518, 51567, 51518, 50913, 62381, 64936, 51292, 51241, 60434, 51008, 71656, 50998, 50978, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 50986, 51008, 50998, 51058, 67765, 51270, 54056, 50947, 54216, 50986, 50959, 50998, 50955, 50929, 50959, 51032, 71038, 64491, 67490, 51292, 51724, 51389, 50914, 79773, 51444, 51244, 50913, 72613, 64831, 51131, 51637, 50444, 70698, 78125, 50913, 65685, 59265, 51563, 69204, 51273, 51048, 50960 ]
[ 0, 250, 2635, 12, 20764, 5175, 19834, 11, 230, 10431, 3694, 6, 4246, 10, 13305, 6, 38668, 22052, 6, 8, 41, 3459, 9590, 4, 20, 15229, 7630, 6568, 10, 25306, 8, 9066, 5466, 6, 19, 17878, 9, 15073, 8, 11926, 4, 20, 33215, 16739, 9, 83, 6, 2060, 6, 8, 230, 10431, 17992, 7, 5, 2214, 18, 19448, 13569, 9862, 6, 25451, 11844, 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 ]	[ 50799, 50620, 50796, 55753, 50620, 50438, 51799, 53177, 50294, 53177, 50306, 50807, 61372, 50915, 50927, 55247, 52759, 53177, 50293, 53177, 50305, 50807, 67791, 50915, 51228, 50915, 50799, 69630, 56082, 51966, 56082, 51378, 52045, 50701, 50286, 53849, 53344, 53478, 61791, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 61104, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 56014, 76033, 72457, 64900, 52216, 50319, 52216, 50324, 67458, 51799, 53177, 50294, 53177, 50306, 50807, 61372, 50915, 50927, 56306, 51086, 69442, 65721, 80095, 70358, 74337, 67427, 52759, 53177, 50293, 53177, 50305, 50807, 67791, 50915, 51228, 57414, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 50799, 69630, 51551, 51966, 51551, 51378, 50918, 50701, 50286, 51047, 53344, 51047, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 61104, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 56014, 76033, 72457, 64900, 52216, 50319, 52216, 50324, 67458, 51799, 53177, 50294, 53177, 50306, 50807, 61372, 50915, 50927, 56306, 51086, 69442, 65721, 80095, 70358, 74337, 67427, 52759, 53177, 50293, 53177, 50305, 50807, 67791, 50915, 51228, 57414, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 50799, 69630, 51551, 51966, 51551, 51378, 50918, 50701, 50286, 51047, 53344, 51047, 56945, 52216, 50305, 74468, 65351, 65351, 75867, 52216, 50322, 51432, 56248, 74468, 75867, 72713, 52858, 50320, 52858, 50322, 52858, 50329, 51432, 58296, 74468, 80095, 70358, 70358, 52216, 50322, 52858, 50327, 67458, 51247, 53177, 50297, 53177, 50309, 50807, 55825, 50915, 50945, 56306, 51086, 71066, 65351, 80095, 70358, 77882, 67427, 51841, 53177, 50296, 53177, 50308, 50807, 67348, 50915, 51019, 57414, 51086, 71066, 72457, 80095, 70358, 52216, 50324, 51432, 76956, 51551, 51279, 51551, 51027, 50918, 75154, 51047, 51069, 51047, 61683, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 62144, 72457, 65351, 72713, 52858, 50325, 52858, 50332, 65298, 50989, 74468, 65351, 70358, 77882, 52858, 50330, 67458, 51279, 53177, 50301, 53177, 50313, 50807, 55500, 50915, 51011, 56306, 50956, 74468, 75867, 52216, 50319, 52216, 50322, 52858, 50329, 67427, 51503, 53177, 50300, 53177, 50312, 50807, 57380, 50915, 51325, 57414, 50956, 74468, 64900, 52216, 50319, 52216, 50322, 52858, 50328, 51432, 57528, 52759, 52382, 51360, 52382, 51040, 53380, 67791, 54143, 51228, 54143, 56440, 67816, 71174, 68081, 52104, 50324, 52104, 50329, 58069, 50989, 75670, 60242, 66918, 73276, 52104, 50330, 56427, 50899, 75670, 51853, 50315, 66918, 51853, 50322, 52104, 50327, 58151, 50916, 67816, 71174, 68081, 52104, 50324, 52104, 50329, 59388, 51040, 67336, 60242, 71174, 68081, 52104, 50325, 51079, 56279, 75670, 51853, 50315, 66918, 51853, 50322, 52104, 50327, 59111, 51086, 70313, 67816, 51853, 50315, 66918, 51853, 50324, 51079, 57346, 67336, 60242, 71174, 68081, 52104, 50325, 51079, 61683, 67336, 60242, 71174, 68081, 52104, 50325, 51079, 53337, 75670, 51853, 50315, 66918, 51853, 50322, 52104, 50327, 56427, 51086, 70313, 67816, 51853, 50315, 66918, 51853, 50324, 58151, 51040, 67336, 60242, 71174, 68081, 52104, 50325, 59388, 51027, 51853, 50305, 75670, 60242, 71174, 51853, 50322, 58369, 51086, 70313, 67816, 51853, 50315, 66918, 51853, 50324, 51079, 50455, 50623, 50456, 51176, 51853, 50303, 60912, 67816, 51853, 50315, 66257, 51079, 56310, 51853, 50305, 75670, 60242, 71174, 51853, 50322, 51079, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 61104, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 56014, 76033, 72457, 64900, 52216, 50319, 52216, 50324, 67458, 51799, 53177, 50294, 61861, 50807, 61372, 51330, 50927, 56306, 51086, 69442, 65721, 80095, 70358, 74337, 51432, 50448, 50623, 50450, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 50915, 50451, 50623, 50453, 50623, 50455, 50623, 50456, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 50457, 50622, 50460, 50622, 61791, 69630, 51551, 51966, 51047, 51378, 50918, 50701, 50286, 51447, 53344, 51047, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 56248, 74468, 75867, 72713, 52858, 50322, 52858, 50329, 51432, 58296, 74468, 80095, 70358, 52216, 50322, 52858, 50327, 67458, 51799, 53177, 50294, 61861, 50807, 61372, 51330, 50927, 56306, 51086, 69442, 65351, 80095, 70358, 77882, 67427, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 57414, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 57528, 69630, 55362, 51966, 52919, 51378, 52382, 50701, 50286, 55844, 53344, 52919, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 62795, 71066, 65721, 80095, 70358, 74337, 65298, 51026, 52216, 50303, 78912, 65721, 80095, 72713, 51432, 63809, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 71835, 51378, 52216, 50301, 71066, 74468, 65351, 70358, 56989, 51026, 52216, 50303, 78912, 65721, 80095, 72713, 51432, 50456, 51315, 52216, 50303, 52216, 50305, 78912, 65721, 75867, 51074, 59130, 52216, 50303, 71066, 74468, 80095, 70358, 63961, 51378, 52216, 50303, 71066, 74468, 80095, 70358, 55752, 51027, 52216, 50303, 74468, 65351, 80095, 52216, 50322, 65298, 51026, 52216, 50303, 78912, 65721, 80095, 72713, 67458, 52206, 53177, 50292, 60045, 50807, 57054, 51330, 50964, 56306, 51027, 71066, 74468, 65351, 70358, 56989, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 57414, 51176, 52216, 50303, 52216, 50305, 69442, 72457, 75867, 51074, 61791, 69630, 51551, 51966, 51047, 51378, 50918, 50701, 50286, 51447, 53344, 62976, 51360, 52104, 50301, 52104, 50310, 58069, 51315, 52104, 50305, 67252, 56427, 51197, 68996, 78502, 58151, 51799, 53177, 50294, 61861, 50807, 61372, 51330, 50927, 56306, 51086, 65594, 64675, 58369, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 57414, 51176, 52104, 50303, 65594, 51079, 57528, 69630, 51551, 51966, 51047, 51378, 50918, 50701, 50286, 51447, 53344, 51047, 50419, 50622, 50420, 51360, 52104, 50301, 52104, 50310, 51079, 50424, 50622, 50426, 51315, 52104, 50305, 67252, 72373, 50622, 50432, 51197, 68996, 78502, 51079, 50433, 50622, 50438, 50622, 51799, 53177, 50294, 61861, 50807, 61372, 50915, 50927, 50915, 50443, 50622, 50444, 51086, 65594, 64675, 51079, 50448, 50622, 50450, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 50915, 51228, 65421, 50621, 50456, 51176, 52104, 50303, 65594, 51079, 50457, 50621, 50460, 50619, 57739, 50877, 51608, 50274, 51036, 51966, 51036, 50418, 51040, 65023, 50989, 57818, 51197, 72271, 50889, 78313, 63125, 50989, 59577, 51120, 58532, 50889, 50442, 51086, 65845, 50871, 58238, 51360, 65593, 50889, 50454, 51027, 63303, 51040, 50955, 57551, 61915, 50807, 51966, 51307, 50418, 51040, 68102, 50989, 58382, 51197, 63403, 50807, 50430, 60031, 50434, 50989, 55467, 51120, 63925, 51013, 50442, 51086, 62928, 50871, 56060, 51360, 68036, 51013, 50454, 51027, 61997, 75184, 55547, 71734, 51013, 50418, 51040, 63980, 50989, 55440, 51503, 66154, 51016, 50430, 50899, 66855, 50989, 58927, 51324, 56831, 51016, 50442, 51086, 69775, 69874, 50448, 50630, 50450, 51279, 63057, 51016, 50454, 51040, 68627, 69874, 57844, 51167, 51120, 50807, 50418, 51086, 71876, 69874, 50877, 58216, 51503, 60939, 51016, 50430, 51086, 61172, 50989, 55467, 50877, 51215, 51360, 50889 ]
[ 0, 250, 765, 8, 20902, 3495, 247, 37903, 4246, 21979, 8669, 6, 24896, 6, 2020, 3548, 6, 3459, 9590, 6, 8, 21072, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 149, 63, 15352, 30054, 15229, 11, 5, 762, 9, 83, 538, 19, 10, 1769, 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 ]	[ 54458, 50799, 52146, 51241, 58075, 54925, 51997, 50943, 50416, 53154, 51221, 52906, 50818, 51149, 59214, 51149, 52329, 50801, 52538, 71332, 51149, 58967, 51149, 56999, 51149, 57647, 63360, 51658, 71332, 50935, 55885, 50852, 62372, 58631, 50801, 52538, 52141, 52349, 63360, 51755, 52141, 61658, 50924, 52906, 61031, 54080, 50868, 55341, 50801, 52538, 52141, 54013, 50848, 52559, 63360, 51042, 50879, 51658, 52141, 66141, 51291, 56960, 50818, 51899, 52141, 52349, 50801, 60079, 50799, 52146, 51241, 58075, 54925, 51997, 50943, 50416, 53154, 51221, 52906, 61658, 59214, 50868, 52329, 50801, 52538, 52141, 61658, 58967, 50868, 56999, 50868, 57647, 63360, 51658, 71332, 51042, 55885, 63360, 50946, 58631, 50801, 52538, 52141, 52349, 63360, 51755, 71332, 51217, 50924, 52906, 77636, 54080, 51217, 55341, 50801, 52538, 52141, 54013, 51171, 52559, 63360, 51791, 50879, 51658, 71332, 51171, 51291, 50444, 53058, 50887, 52142, 50887, 51271, 56099, 52493, 52396, 53058, 50887, 52142, 50887, 51213, 56230, 63209, 52349, 53058, 50809, 52142, 73117, 51650, 57979, 60079, 50799, 53058, 50809, 54113, 70979, 68868, 56118, 52543, 50870, 50988, 51535, 51042, 51448, 50848, 51148, 50417, 51951, 50800, 53020, 60830, 50847, 55105, 53020, 50809, 51951, 52634, 56118, 52245, 55893, 51967, 50830, 51951, 50818, 53020, 67287, 59643, 52654, 54113, 50809, 53058, 52773, 56118, 52543, 61033, 50927, 51060, 50429, 53020, 50800, 51951, 58269, 71895, 53020, 50887, 51951, 54015, 56118, 52245, 50895, 62728, 50435, 53020, 50887, 51951, 53418, 51967, 50800, 53020, 50859, 53258, 50859, 50953, 51650, 56118, 52543, 50870, 51042, 51562, 50988, 51397, 50441, 53020, 50887, 53258, 65781, 61763, 50847, 55368, 53020, 50887, 53258, 54015, 56118, 52245, 60635, 50848, 52179, 50447, 53020, 50887, 53258, 50887, 55806, 50935, 54276, 51967, 50795, 53020, 50887, 53258, 50887, 50927, 55955, 56118, 52543, 67512, 50848, 51753, 50453, 52142, 50859, 53258, 50924, 61311, 50935, 53556, 51951, 50887, 50953, 53373, 56118, 52245, 50895, 59629, 50935, 50925, 77630, 50887, 52142, 50924, 50927, 68868, 56118, 52543, 50870, 50946, 52069, 50417, 53058, 55777, 53058, 50887, 52142, 54898, 56118, 52245, 65971, 71794, 54604, 53058, 50887, 52142, 50887, 66523, 50850, 53049, 53058, 50879, 52142, 50879, 51069, 56937, 56118, 52543, 57265, 72977, 50944, 54860, 53058, 50887, 52142, 54898, 56118, 52245, 50895, 69158, 50850, 54125, 53058, 50887, 52142, 55395, 52130, 50887, 52142, 50924, 50927, 60725, 56118, 52543, 50870, 51171, 51115, 50439, 51506, 51295, 50441, 53058, 55489, 53058, 50887, 52142, 54898, 56118, 52245, 65971, 51824, 50447, 53058, 50887, 52142, 50887, 69082, 50850, 54086, 53058, 50952, 52142, 51238, 51069, 68868, 56118, 52543, 56597, 68568, 50944, 55370, 51951, 54015, 56118, 52245, 50895, 69158, 66940, 50799, 52994, 50813, 56212, 50879, 51011, 56937, 56118, 52543, 58120, 52130, 50938, 50946, 51397, 51017, 51562, 50420, 56212, 50859, 52130, 52634, 56118, 52245, 70579, 55754, 56212, 50887, 52130, 56754, 56288, 53425, 53020, 50859, 51967, 50938, 51019, 56937, 56118, 52543, 57265, 50868, 53705, 52142, 50859, 53928, 56949, 56118, 52245, 61361, 59227, 50850, 57581, 56212, 50879, 51011, 56937, 56118, 52543, 50870, 50946, 51145, 51017, 51448, 50439, 52994, 61032, 52130, 55489, 56212, 54015, 56118, 52245, 70579, 57028, 52130, 61952, 54368, 56212, 50859, 52130, 66636, 60168, 50850, 54276, 53020, 50859, 51019, 51650, 56118, 52543, 65392, 51967, 50924, 50454, 50868, 56608, 53137, 53928, 50859, 52142, 50859, 51011, 52108, 56118, 52245, 61612, 50868, 62812, 50897, 50799, 53258, 50893, 52130, 50858, 50927, 56937, 56118, 52543, 50870, 50946, 54532, 50415, 51171, 51397, 51506, 51448, 50417, 53058, 54681, 53258, 50884, 53058, 53683, 56118, 52245, 50895, 67517, 50850, 58092, 51007, 53991, 53258, 50884, 53058, 50884, 67517, 50850, 59864, 52654, 53020, 50884, 53058, 50887, 51069, 53305, 56118, 52543, 57265, 52130, 50859, 52142, 63519, 50944, 54215, 51967, 50924, 52142, 57321, 56118, 52245, 69504, 51681, 50318, 57062, 68112, 51967, 50879, 52142, 51238, 50927, 52773, 56118, 52543, 60470, 51171, 51310, 51506, 51535, 50946, 51448, 50444, 52130, 50879, 50927, 52108, 56118, 52245, 50895, 66697, 50445, 50850, 54914, 52142, 76689, 50857, 55119, 51007, 53639, 51967, 50884, 52142, 50884, 51019, 55236, 56118, 52543, 56597, 51967, 50884, 52142, 50879, 50454, 50944, 57955, 53007, 53058, 50859, 51213, 52390, 56118, 52245, 50895, 69501, 50457, 73563, 51007, 50917, 50799, 53058, 50809, 54113, 70979, 68868, 56118, 52543, 50870, 51042, 51448, 50988, 51417, 50417, 51951, 50800, 53020, 51835, 53020, 50809, 51951, 52634, 56118, 52245, 50895, 57724, 50847, 53109, 51967, 50830, 51951, 50818, 53020, 58269, 63472, 52710, 54113, 50809, 53058, 52773, 56118, 52543, 61033, 50927, 51060, 50429, 53020, 50800, 51951, 56814, 51480, 50847, 52818, 53020, 50887, 51951, 54015, 56118, 52245, 50895, 70531, 50935, 60698, 53020, 50887, 51951, 53418, 51967, 50800, 53020, 50859, 53258, 50859, 50953, 51650, 56118, 52543, 50870, 51042, 51562, 50988, 51397, 50441, 53020, 50887, 53258, 55489, 53020, 50887, 53258, 54015, 56118, 52245, 50895, 58661, 50447, 53020, 50887, 53258, 65646, 59778, 52800, 51967, 50795, 53020, 50887, 53258, 50887, 50927, 55955, 56118, 52543, 56597, 52142, 50859, 53258, 72201, 51480, 50454, 50847, 53555, 51951, 50887, 50953, 53373, 56118, 52245, 70580, 51100, 50847, 50873, 77630, 50887, 52142, 50924, 50927, 68868, 56118, 52543, 50870, 50946, 51448, 50415, 51506, 51749, 51171, 51318, 50417, 53058, 55777, 53058, 50887, 52142, 54898, 56118, 52245, 74951, 60916, 50850, 53991, 53058, 50887, 52142, 72736, 63339, 50850, 70175, 52450, 53058, 50879, 52142, 50879, 51069, 56937, 56118, 52543, 57265, 50944, 53705, 53058, 50887, 52142, 54898, 56118, 52245, 61361, 50944, 67814, 55792, 58952, 53058, 50887, 52142, 55395, 52130, 50887, 52142, 50924, 50927, 60725, 56118, 52543, 50870, 50946, 51148, 51171, 51397, 51506, 51145, 50441, 53058, 65781, 50944, 54394, 53058, 50887, 52142, 54898, 56118, 52245, 56156, 53058, 50887, 52142, 50887, 69082, 50850, 54004, 53058, 50952, 52142, 51238, 51069, 68868, 56118, 52543, 56597, 55688, 50944, 54232, 51951, 54015, 56118, 52245, 74951, 55257, 54298, 50850, 50873, 50799, 52994, 50813, 56212, 50879, 51011, 56937, 56118, 52543, 58120, 52130, 50938, 50946, 52136, 50420, 56212, 50859, 52130, 52634, 56118, 52245, 63754, 50850, 72973, 54446, 56212, 50887, 52130, 59474, 50850, 50862, 51125, 52654, 53020, 50859, 51967, 50938, 51019, 56937, 56118, 52543, 57265, 50850, 52810, 52142, 50859, 53928, 56949, 56118, 52245, 50895, 51017, 53379, 66552, 51125, 57581, 56212, 50879, 51011, 56937, 56118, 52543, 50870, 50946, 51627, 51017, 51318, 50439, 52994, 61032, 52130, 55489, 56212, 54015, 56118, 52245, 50895, 61117, 50445, 52130, 58181, 56212, 50859, 52130, 50887, 67453, 50850, 54208, 53020, 50859, 51019, 51650, 56118, 52543, 65392, 51967, 50924, 50453, 50868, 57349, 53137, 53928, 50859, 52142, 50859, 51011, 52108, 56118, 52245, 50895, 55119, 51125, 50925, 50799, 53258, 50893, 52130, 50858, 50927, 56937, 56118, 52543, 50870, 51171, 51535, 50946, 51080, 51506, 51749, 50417, 53058, 72857, 50944, 52944, 53258, 50884, 53058, 53683, 56118, 52245, 55893, 53020, 50884 ]
[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 25306, 8, 12298, 5466, 6, 4246, 10, 32017, 6, 18558, 6, 21979, 8669, 6, 8, 21072, 6, 70, 8216, 7, 10, 32076, 6711, 326, 25963, 19, 17878, 9, 15073, 8, 9066, 2821, 16235, 6, 278, 11, 83, 3694, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24826, 198, 5, 40286, 1918, 8, 3676, 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 ]	[ 57211, 51064, 51066, 51438, 62819, 51067, 64631, 50947, 51066, 51292, 62568, 51889, 51066, 74080, 51162, 51438, 69706, 51292, 56504, 51067, 56282, 50998, 51162, 50947, 51162, 51292, 69654, 51889, 51484, 72243, 50976, 51292, 71659, 51292, 52968, 51788, 54684, 51788, 55276, 51032, 50976, 51563, 72992, 51563, 52768, 51438, 55273, 51438, 50860, 74080, 50860, 51563, 56111, 51563, 54675, 50947, 50860, 51292, 54684, 51292, 55276, 50970, 51066, 51067, 62568, 50832, 51066, 51889, 51066, 74080, 51066, 52037, 51066, 51240, 62819, 51064, 51066, 51612, 51066, 51236, 64631, 50947, 51066, 52075, 51066, 51240, 62568, 50832, 51066, 74080, 51162, 52037, 51162, 51240, 69706, 51032, 50917, 52075, 62862, 70705, 51064, 50917, 51612, 56282, 50947, 51162, 52075, 51162, 51240, 69654, 50832, 51162, 72243, 50860, 52041, 50976, 51240, 68107, 50947, 62643, 52041, 52968, 50947, 50860, 51584, 50860, 51236, 63284, 50947, 50860, 51584, 55276, 51032, 50860, 51555, 50976, 51240, 63523, 51032, 61443, 51555, 52768, 51067, 50860, 51783, 50860, 51236, 62287, 51067, 50860, 51783, 50860, 50799, 51292, 50860, 51555, 50860, 51240, 56111, 51292, 50860, 51555, 50860, 51236, 54675, 50947, 50860, 52041, 50860, 51240, 54684, 50947, 50860, 52041, 50860, 51236, 55276, 51067, 51066, 52123, 51066, 51240, 62568, 50832, 56721, 50832, 62353, 50832, 55438, 52145, 50817, 56584, 50817, 50799, 55775, 51066, 51438, 51066, 51612, 57759, 62819, 56326, 51066, 51067, 51066, 51722, 51066, 51240, 64631, 56126, 51066, 51292, 51066, 51584, 57759, 62568, 50832, 51066, 50799, 55775, 51066, 51438, 51066, 51612, 57759, 62819, 55775, 50860, 51292, 50860, 51567, 50860, 51240, 54684, 56326, 50860, 51067, 50860, 51722, 50860, 51270, 55276, 56126, 51066, 51292, 51066, 51584, 57759, 62568, 51769, 51066, 50799, 56048, 50976, 51292, 50976, 51584, 53236, 68107, 51584, 62643, 56048, 50811, 51292, 52968, 55496, 50860, 51788, 50860, 51584, 58284, 62938, 50832, 50817, 51999, 58976, 50832, 52265, 55496, 50860, 51788, 50860, 51584, 50860, 51270, 55276, 56547, 50860, 51563, 50976, 51567, 50860, 51240, 56059, 56547, 50860, 51567, 71232, 50447, 51563, 52768, 55775, 50860, 51438, 50860, 51612, 55273, 55775, 50860, 51438, 50860, 51612, 50860, 50799, 56126, 50860, 51563, 50860, 52075, 58284, 51066, 51065, 51066, 51240, 68107, 62611, 50860, 51563, 50860, 52075, 54675, 55775, 50860, 51292, 50860, 51584, 50860, 51270, 63284, 55693, 50860, 51292, 50860, 51584, 55276, 64093, 51066, 51067, 51066, 51612, 57759, 51112, 51240, 62568, 51889, 62287, 55093, 50860, 50799, 55775, 50976, 51067, 51066, 52037, 51066, 51240, 50860, 55997, 50860, 51270, 62643, 55775, 52968, 55693, 50860, 51064, 51066, 51612, 51066, 51240, 54684, 55496, 58284, 50860, 51270, 55276, 56126, 50976, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 61443, 62611, 52768, 55775, 50860, 51240, 55273, 55693, 58284, 50860, 51270, 50860, 50799, 57822, 50860, 51067, 51066, 52037, 51066, 51240, 56111, 55775, 58284, 50860, 51270, 54675, 55775, 50860, 51032, 50860, 52075, 50860, 51240, 54684, 55693, 50860, 51064, 50860, 51612, 58284, 50860, 51270, 55276, 55775, 51066, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 55093, 58284, 50860, 51270, 50860, 50799, 56048, 51100, 50947, 50917, 52041, 51100, 51240, 61195, 50947, 69234, 50917, 51270, 78768, 56048, 50836, 52041, 53425, 55496, 50938, 50947, 50938, 51584, 50938, 51240, 56632, 55496, 50938, 50947, 50938, 51584, 60662, 50938, 51270, 57581, 56547, 50865, 51032, 50865, 51555, 51060, 51240, 55700, 56547, 50809, 51032, 58441, 65924, 64127, 56547, 50809, 51555, 52555, 55775, 50924, 51067, 50924, 51783, 50924, 51240, 58603, 55775, 50924, 51067, 50924, 51783, 66639, 50924, 51270, 50924, 50799, 56126, 50948, 51292, 50948, 51555, 50948, 51240, 62229, 62611, 50948, 51292, 50948, 51555, 66034, 50948, 51270, 58292, 55775, 50936, 50947, 50936, 52041, 50936, 51240, 57611, 55693, 50936, 50947, 50936, 52041, 60933, 50936, 51270, 57626, 64093, 51500, 51067, 51500, 52123, 51500, 51769, 51500, 50450, 51889, 51603, 50799, 66105, 51066, 51438, 51066, 51612, 51066, 51289, 62819, 50725, 50342, 51066, 51067, 51066, 51722, 57759, 64631, 79355, 51066, 51292, 51066, 51584, 51066, 51289, 51066, 57613, 51066, 50799, 66105, 51112, 51438, 51112, 51612, 51112, 51289, 68586, 66105, 50865, 51292, 50865, 51567, 54070, 68178, 50725, 50342, 50865, 51067, 50865, 51722, 54930, 79355, 51112, 51292, 51112, 51584, 51112, 51289, 51112, 57613, 51112, 50832, 51112, 50799, 56126, 50976, 51292, 50976, 51584, 50860, 51240, 56111, 51584, 58284, 50860, 51270, 62643, 56126, 50811, 51292, 52968, 61557, 50860, 51788, 50860, 51584, 50860, 51240, 54684, 61557, 50860, 51788, 50860, 51584, 58284, 50860, 51270, 55276, 60060, 50860, 51563, 50976, 51567, 50860, 51240, 56059, 60060, 50860, 51567, 58284, 50860, 51270, 61443, 51563, 52768, 66105, 50860, 51438, 50860, 51612, 50860, 51240, 55273, 66105, 50860, 51438, 50860, 51612, 58284, 50860, 51270, 50860, 50799, 79355, 50860, 51563, 50860, 52075, 50860, 51240, 56111, 50725, 50339, 50860, 51563, 50860, 52075, 58284, 50860, 51270, 54675, 66105, 50860, 51292, 50860, 51584, 50860, 51240, 54684, 60588, 50860, 51292, 50860, 51584, 58284, 50860, 51270, 55276, 74706, 51066, 51067, 51066, 51612, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 56326, 58284, 50860, 51270, 50860, 50799, 66105, 50976, 51067, 51066, 52037, 51066, 51240, 50860, 55997, 50860, 51270, 62643, 66105, 52968, 60588, 50860, 51064, 51066, 51612, 51066, 51240, 54684, 61557, 58284, 50860, 51270, 55276, 66105, 50976, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 61443, 66105, 52768, 56326, 50860, 51240, 55273, 56326, 58284, 50860, 51270, 50860, 50799, 66105, 50976, 51067, 51066, 52037, 51066, 51240, 50860, 55997, 50860, 51270, 62643, 66105, 52968, 66105, 50860, 51032, 50860, 52075, 50860, 51240, 54684, 60588, 50860, 51064, 50860, 51612, 58284, 50860, 51270, 55276, 66105, 51066, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 56326, 58284, 50860, 51270, 50860, 50799, 66105, 50976, 50947, 50860, 52041, 50976, 51240, 56111, 50947, 58284, 50860, 51270, 62643, 66105, 50811, 52041, 52968, 61557, 50860, 50947, 50860, 51584, 50860, 51240, 54684, 61557, 50860, 50947, 50860, 51584, 58284, 50860, 51270, 55276, 60060, 50976, 51032, 50860, 51555, 50976, 51240, 56059, 51032, 58284, 50860, 51270, 61443, 60060, 50811, 51555, 52768, 66105, 50860, 51067, 50860, 51783, 50860, 51240, 55273, 66105, 50860, 51067, 50860, 51783, 58284, 50860, 51270, 50860, 50799, 79355, 50860, 51292, 50860, 51555, 50860, 51240, 56111, 50725, 50339, 50860, 51292, 50860, 51555, 58284, 50860, 51270, 54675, 66105, 50860, 50947, 50860, 52041, 50860, 51240, 54684, 60588, 50860, 50947, 50860, 52041, 58284, 50860, 51270, 55276, 74706, 51066, 51067, 51066, 52123, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 50832, 50860, 51270, 50860, 50799, 56326, 51066, 66105, 51066, 51438, 51066, 51612, 51066, 51240, 50860, 55997, 50860, 51270, 54675, 61557, 51066, 50725, 50342, 51066, 51067, 51066, 51722, 51066, 51240, 54684, 50832, 50860, 51270, 55276, 60060, 51066, 79355, 51066, 51292, 51066, 51584, 51066 ]
[ 0, 713, 8787, 5175, 8, 25771, 15229, 6, 278, 11, 5, 762, 9, 274, 10431, 3694, 6, 1931, 21683, 10, 19448, 8, 5679, 26709, 5466, 4, 590, 10, 23667, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 24897, 3222, 5785, 9, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 12280, 3275, 1725, 3109, 6, 8, 38668, 22052, 4, 20, 16331, 33215, 16739, 9, 83, 6, 163, 119, 406, 6, 8, 230, 10431, 119, 406, 31473, 10, 1472, 9, 31657, 1328, 5, 2125, 6, 150, 5, 15352, 30054, 4785, 35334, 10, 12405, 1619, 16464, 6, 442, 24, 157, 12, 9228, 4560, 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 ]	[ 67004, 50796, 50461, 50902, 53259, 51601, 51114, 53259, 73229, 52919, 50416, 50861, 53753, 51231, 53753, 50417, 51220, 53259, 50418, 50702, 50334, 54249, 55746, 50989, 51717, 51146, 51717, 51719, 51717, 58684, 53295, 50702, 50342, 52204, 50796, 50796, 55746, 50902, 53259, 50428, 51114, 53259, 51220, 53259, 50702, 50339, 54249, 50429, 50861, 52919, 51231, 52919, 73229, 52919, 50796, 50443, 50989, 51717, 51719, 51717, 58684, 51717, 50444, 50999, 52149, 50702, 50337, 52204, 50445, 50902, 52149, 50702, 50342, 52204, 50796, 50796, 55746, 52206, 52149, 50450, 73229, 51151, 58714, 51449, 50702, 50334, 51449, 50796, 50437, 50916, 52720, 50877, 52720, 51249, 52720, 50450, 58684, 53295, 64069, 56235, 50796, 50796, 59419, 52720, 50902, 52122, 50440, 50999, 52122, 50441, 73229, 53295, 64069, 51717, 50702, 50342, 56235, 50796, 50796, 50434, 50989, 52337, 51719, 52337, 50435, 50902, 52337, 51457, 52337, 61019, 51717, 73229, 51717, 58714, 51717, 50796, 61627, 50951, 50889, 55076, 55247, 50999, 50889, 56318, 50915, 60497, 53363, 51231, 53233, 50416, 51220, 51538, 58749, 51452, 50444, 51146, 51623, 59584, 51452, 57731, 51719, 51717, 50424, 50968, 52024, 50425, 51399, 51538, 63810, 51422, 50460, 50999, 52919, 56318, 53363, 50796, 52591, 50951, 51452, 51465, 52919, 55076, 51623, 50446, 51220, 51538, 58749, 51538, 50796, 78740, 55408, 50430, 50968, 55408, 56318, 54834, 50431, 51114, 53295, 51410, 51717, 50796, 51809, 51457, 51790, 50426, 51818, 51562, 50441, 50877, 52644, 51249, 53849, 50443, 50902, 51717, 51410, 52204, 50444, 51114, 51717, 52948, 53454, 54638, 51717, 55746, 51457, 51692, 50458, 50899, 52204, 51465, 52204, 50459, 50989, 51717, 50460, 50877, 52644, 50799, 53818, 51717, 51809, 51457, 51692, 50428, 51818, 51692, 50441, 50877, 51717, 50442, 50902, 51717, 50443, 63857, 51717, 50444, 51114, 51717, 52948, 52122, 50796, 50436, 54310, 52122, 61627, 51410, 52204, 51719, 52204, 54638, 51717, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50799, 61372, 51492, 55500, 51036, 52016, 51492, 52582, 51036, 50799, 54549, 51036, 72890, 50799, 53496, 51036, 52582, 51036, 68662, 50799, 54549, 51036, 52016, 51036, 72890, 50920, 55772, 51349, 51631, 51684, 61120, 52474, 55154, 50365, 54297, 57080, 50918, 50903, 50809, 63306, 52510, 50913, 61402, 54105, 50852, 56994, 61114, 50913, 61402, 51319, 50799, 61372, 51492, 55500, 51036, 52016, 51036, 52582, 51036, 51181, 51605, 51171, 51359, 51444, 51036, 51719, 50983, 55061, 75195, 54320, 56994, 52628, 50946, 52015, 50960, 50918, 52326, 51605, 53249, 52015, 50913, 61402, 53935, 50848, 51218, 51131, 50918, 51410, 51161, 52573, 51218, 54958, 51084, 58467, 50944, 50918, 51078, 51036, 51719, 51358, 53322, 50918, 50913, 61402, 53980, 50903, 50809, 63306, 52510, 50848, 51127, 56745, 52573, 51127, 50913, 61402, 54105, 67034, 59737, 53249, 50915, 72657, 61114, 51181, 50865, 50944, 50918, 56745, 53322, 55755, 53123, 61402, 51319, 50799, 54549, 51036, 52016, 51036, 72890, 51181, 51605, 51217, 51359, 51444, 51036, 51231, 50983, 55342, 75195, 50809, 58633, 52628, 50848, 51945, 50960, 50918, 52571, 51605, 52573, 51945, 50913, 61402, 53935, 51042, 51127, 51311, 50918, 53895, 51127, 72657, 58467, 50847, 50918, 50929, 51161, 51410, 51358, 51231, 51358, 52049, 50918, 50913, 61402, 53980, 50903, 50809, 63306, 52510, 50946, 51115, 56745, 53249, 51115, 50913, 61402, 54105, 51042, 50914, 69095, 53895, 50914, 50852, 56994, 61114, 51349, 55990, 51351, 50960, 51048, 52049, 51351, 50913, 61402, 51319, 50799, 53496, 51036, 52582, 51036, 68662, 51684, 51161, 51506, 51353, 51444, 51036, 51249, 50983, 56280, 51353, 57347, 57258, 52628, 50944, 51047, 51078, 50918, 51719, 51605, 53322, 51047, 50913, 61402, 53935, 51017, 51244, 51317, 50918, 52102, 51161, 53882, 51244, 72657, 58467, 50850, 51358, 50947, 51358, 51249, 51358, 52242, 51358, 50913, 61402, 53980, 50903, 50809, 63306, 52510, 71537, 51078, 50983, 53322, 70539, 61402, 54105, 51349, 57679, 50915, 67877, 53882, 50915, 72657, 61114, 51910, 58228, 51101, 53322, 69026, 53123, 61402, 51319, 50799, 54549, 51036, 52016, 51036, 72890, 51349, 51036, 51688, 51313, 50946, 51151, 51042, 51151, 50868, 51151, 51311, 51036, 52571, 51036, 51231, 50983, 58739, 51313, 53249, 51151, 53895, 51151, 52740, 69880, 54320, 56994, 69453, 50847, 51264, 50929, 51036, 52049, 51264, 56063, 61402, 53935, 50920, 58467, 51231, 51358, 50913, 61402, 53980, 54445, 50795, 51855, 56969, 52510, 54308, 51048, 52525, 51048, 50913, 61402, 54105, 50852, 56994, 51319, 50454, 52123, 51358, 52086, 51358, 63908, 61402, 51319, 53447, 51161, 51171, 51359, 51444, 51036, 50899, 74882, 50918, 52326, 51161, 51410, 51036, 51457, 51445, 52948, 51939, 55061, 51359, 57347, 57258, 52628, 50946, 52222, 59737, 53249, 52222, 50913, 61402, 53935, 50848, 51518, 50960, 50983, 51027, 51161, 52573, 51518, 72657, 58467, 50944, 51358, 51131, 50983, 53322, 51358, 50913, 61402, 53980, 54308, 50795, 52525, 50795, 51078, 65842, 74882, 50918, 50903, 50809, 63306, 52510, 52123, 51091, 52086, 51091, 56745, 50913, 61402, 54105, 51181, 50807, 59737, 52326, 50795, 52948, 50974, 72657, 61114, 52041, 50807, 52642, 50807, 56745, 52326, 50795, 52948, 65178, 53123, 61402, 51319, 54281, 51036, 51217, 51359, 51574, 51036, 51086, 71651, 61336, 50918, 52571, 51036, 51465, 51036, 51457, 51445, 51981, 51445, 55342, 51359, 57347, 57258, 52628, 50848, 52071, 69095, 52573, 52071, 50913, 61402, 53935, 51042, 51518, 50960, 50983, 53895, 51518, 72657, 58467, 50847, 51358, 51311, 50983, 52049, 51358, 50913, 61402, 53980, 52123, 51060, 52086, 51060, 80145, 51086, 71651, 61336, 50918, 50903, 50809, 63306, 52510, 52041, 51091, 52642, 51091, 56745, 50913, 61402, 54105, 69095, 72657, 61114, 52089, 51091, 53773, 51091, 56745, 50913, 61402, 51319, 55934, 51161, 51506, 51313, 52028, 51036, 51040, 74882, 63831, 50918, 52102, 51036, 51465, 51036, 51719, 51036, 51818, 51445, 52287, 51445, 56280, 51313, 57347, 57258, 52628, 51555, 50807, 52908, 60049, 51714, 67877, 53249, 51714, 50913, 61402, 53935, 51017, 51939, 51078, 50983, 53882, 51939, 72657, 58467, 51584, 50807, 53725, 55541, 51358, 51317, 50983, 52242, 51358, 50913, 61402, 53980, 50947, 50918, 51040, 74882, 63831, 50918, 50903, 50809, 63306, 52510, 52089, 50795, 53773, 50795, 51078, 61559, 61402, 54105, 51640, 51060, 67877, 72657, 51319, 50453, 52089, 50795, 53773, 51923, 51181, 51328, 51078, 51650, 53123, 61402, 67084, 52041, 51358, 52642, 51358, 54468, 51605, 51217, 51151, 51574, 51036, 51086, 71651, 61336, 50918, 52571, 51036, 51465, 51036, 51457, 51445, 51981, 51445, 55342, 51151, 57347, 57258, 52628, 51042, 52222, 69095, 53895, 52222, 50913, 61402, 53935, 50868, 51422, 50960, 50983, 52740, 51422, 51289, 50840, 72657, 58467, 50847, 51623, 51311, 50983, 52049, 51623, 50913, 61402, 53980, 80145, 51086, 71651, 61336, 50918, 50903, 50809, 63306, 64647, 54394, 54445, 50795, 51855, 50795, 56745, 51289, 56530, 61402, 54105, 54308, 50795, 52525, 50795, 51311, 54490, 55217, 61114, 51181, 50809, 52123, 50983, 52086, 50983, 50960, 51650, 53123, 61402, 51319, 53447, 51605, 51171, 51359, 51444, 51036, 51027, 65842, 74882, 50918, 52326, 51161, 51410, 51036, 51457, 51445, 52948, 51445, 55061, 51359, 57347, 57258, 52628 ]
[ 0, 250, 3495, 1619, 2214, 19, 15855, 16882, 6, 4246, 10, 2020, 3548, 6, 21979, 8669, 6, 21040, 2426, 6, 6755, 12547, 6, 8, 38668, 2236, 4, 20, 2125, 16, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 8971, 741, 1685, 4, 20, 33215, 16739, 9, 274, 6, 211, 119, 406, 6, 272, 6, 230, 6, 8, 230, 10431, 37152, 6670, 10, 19448, 8, 5679, 26709, 5466, 6, 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, 63133, 51295, 50422, 50986, 51318, 50425, 51891, 51412, 50426, 51032, 51312, 55445, 51221, 56267, 62763, 53429, 51025, 50434, 51207, 50901, 50437, 52391, 52059, 50438, 51725, 51218, 53560, 51481, 52969, 51380, 50446, 50986, 51391, 50449, 51997, 51363, 53141, 54356, 51032, 52256, 52879, 51277, 50458, 51207, 50866, 50460, 51707, 51025, 53195, 51189, 63133, 51295, 52850, 54861, 50422, 50986, 51108, 50424, 52131, 52460, 50426, 51032, 52378, 52146, 51797, 50432, 52758, 72300, 66493, 50436, 52181, 51412, 50437, 53032, 69397, 51725, 51218, 51891, 51423, 50446, 50986, 51108, 50449, 52162, 50932, 54182, 50857, 54489, 77393, 51032, 51884, 52391, 55574, 50458, 51207, 50955, 50460, 54890, 71206, 58373, 50984, 58700, 51291, 51140, 51241, 59235, 51314, 51229, 52392, 50415, 54182, 51714, 50422, 51131, 51159, 53476, 51679, 50426, 50986, 51242, 50970, 51127, 50947, 51562, 51997, 51645, 52131, 51852, 50434, 51131, 50943, 51140, 50897, 52344, 54938, 51725, 51291, 51461, 51191, 62967, 51080, 50446, 51131, 50943, 53476, 75589, 50986, 51423, 50970, 51345, 50947, 51073, 52131, 51484, 51997, 51576, 50458, 51131, 50925, 51140, 50925, 52344, 51051, 61894, 51109, 50970, 51267, 51064, 51346, 73964, 55338, 51108, 51707, 51709, 52391, 51199, 51408, 51073, 54489, 50914, 50425, 50986, 51645, 50426, 50970, 51255, 50947, 51095, 51140, 51056, 59235, 50932, 51997, 51709, 52131, 50932, 51229, 51345, 54182, 59290, 51311, 51484, 50998, 51377, 51169, 51116, 51493, 51159, 56596, 51199, 52181, 51330, 52814, 51108, 51674, 51073, 50446, 58373, 78876, 50986, 60779, 50970, 51380, 50947, 51400, 51140, 51056, 59235, 51709, 52131, 51484, 51997, 51199, 51229, 51073, 50454, 54182, 73119, 52012, 52794, 61108, 51291, 51098, 50943, 55338, 51314, 51408, 52392, 54489, 52071, 50422, 50960, 50943, 53937, 51637, 50426, 72589, 51064, 51077, 52131, 51576, 52391, 51576, 50434, 69432, 51098, 50925, 52162, 51481, 50438, 51444, 56458, 51273, 50914, 63812, 51627, 50446, 50960, 51134, 53937, 51961, 50450, 50970, 51174, 51064, 51162, 75113, 52131, 51172, 52391, 51576, 50458, 51444, 50836, 52162, 51142, 50461, 51207, 54060, 73934, 52034, 52659, 51377, 53167, 51709, 52554, 51709, 50756, 50291, 51961, 51590, 51073, 55493, 51312, 50415, 51078, 51423, 51076, 68033, 50986, 51797, 50998, 51203, 50929, 51337, 51461, 51100, 62967, 51642, 52181, 51481, 51891, 51642, 51334, 51896, 53032, 51025, 50427, 51032, 68535, 50986, 51377, 51461, 50914, 52181, 51852, 62967, 51709, 51891, 52034, 50443, 68583, 50445, 75646, 53141, 75554, 51032, 53639, 51311, 51159, 52659, 50943, 53167, 51642, 50756, 50291, 51709, 52554, 51481, 50454, 53195, 59747, 51136, 51376, 50458, 51078, 51008, 51076, 64175, 54544, 50937, 64752, 51141, 52157, 50943, 73541, 51243, 51390, 51336, 50416, 52758, 52069, 50422, 50960, 51199, 59235, 64396, 50970, 51423, 51064, 51413, 52131, 51330, 52162, 51108, 50434, 50960, 51484, 52157, 50897, 53937, 68112, 51504, 51241, 51140, 51191, 59235, 51314, 51924, 75626, 50960, 51312, 53937, 64533, 50970, 51775, 51064, 51562, 52162, 51645, 52131, 52378, 51893, 51073, 50458, 50960, 50925, 52157, 50897, 53937, 51254, 61108, 51204, 51098, 51241, 55338, 51314, 52004, 51013, 50421, 52969, 50924, 50422, 69432, 53937, 51679, 50426, 71658, 51064, 51043, 52391, 51576, 52131, 51709, 51893, 51073, 50429, 53141, 68686, 51444, 50854, 51098, 50925, 52162, 50972, 50437, 54544, 64740, 51725, 51077, 51461, 51162, 62967, 51878, 51924, 51013, 50446, 51207, 51419, 55338, 75589, 50986, 51466, 50998, 51253, 51461, 50914, 52344, 51108, 52181, 52378, 51707, 52378, 51390, 51013, 50451, 50929, 51400, 50455, 52758, 50952, 58700, 51077, 51140, 51351, 59235, 51637, 51334, 51358, 53032, 51991, 50422, 66860, 52344, 75360, 50970, 51109, 50947, 51775, 52131, 51380, 51997, 51199, 50434, 67395, 51140, 50925, 59235, 52718, 52028, 51141, 51705, 51241, 59543, 51419, 50446, 71311, 52344, 75589, 51136, 51242, 50947, 51177, 51997, 51709, 53154, 51709, 50454, 58373, 51377, 50458, 52028, 50897, 51705, 50925, 59543, 50972, 61108, 51189, 73964, 55338, 51878, 50416, 54890, 51244, 50422, 51246, 50914, 52162, 77008, 50970, 51124, 50929, 51178, 51098, 50889, 51707, 51328, 52391, 51328, 50434, 51207, 50840, 52162, 52896, 51725, 52407, 51246, 51267, 51461, 51159, 52162, 52056, 52131, 51709, 62967, 51314, 53937, 51576, 51256, 51290, 50439, 50960, 73580, 51444, 52460, 51246, 51337, 50986, 51101, 51493, 51159, 52344, 51806, 52181, 51709, 51707, 51806, 51209, 51013, 50451, 50998, 51242, 58700, 51446, 51140, 51241, 59235, 51314, 51229, 51364, 51154, 51080, 50419, 53429, 73489, 51131, 51003, 53476, 51965, 50426, 50986, 51310, 50970, 51417, 52131, 51576, 51997, 51753, 50428, 53429, 51472, 50434, 51131, 51003, 51140, 50925, 52344, 58151, 51461, 51241, 62967, 51627, 51229, 51472, 51301, 51447, 50439, 51725, 51446, 50446, 51131, 51267, 53476, 51961, 50450, 50986, 51267, 52131, 51645, 51997, 51852, 50451, 50970, 51238, 50458, 51131, 50855, 51140, 50942, 52344, 51051, 56216, 50952, 55929, 50914, 62967, 51709, 53937, 51330, 53167, 51709, 52391, 51330, 51707, 51709, 51229, 51013, 51426, 51449, 50415, 51725, 51364, 54799, 51364, 50422, 51207, 72100, 51246, 51481, 51136, 51177, 50929, 51111, 51140, 50914, 59235, 51447, 53476, 52263, 53167, 51314, 51707, 51878, 51891, 51878, 51390, 51336, 50434, 51207, 50857, 53429, 51646, 51504, 51048, 51461, 51056, 50439, 53141, 51218, 50446, 51131, 51134, 50449, 51334, 69556, 51136, 51056, 50970, 51346, 51140, 51159, 59235, 52460, 53476, 51466, 53167, 51738, 51707, 51738, 50456, 52758, 75574, 51725, 62923, 51251, 51748, 76572, 51472, 52157, 51056, 73541, 52062, 51256, 51472, 50415, 56267, 67553, 53429, 50879, 50422, 51504, 51183, 59235, 51108, 50423, 52969, 72270, 51246, 51797, 50960, 51121, 50970, 50918, 51064, 51738, 52162, 51576, 52131, 51852, 50434, 51246, 51109, 52157, 50925, 53937, 71113, 53271, 51127, 51140, 50914, 59235, 51878, 51256, 51472, 50446, 51504, 50914, 53937, 64533, 51246, 51481, 69432, 50970, 51446, 51064, 51413, 52162, 51172, 52131, 51481, 50454, 52157, 50925, 53141, 69085, 51504, 78663, 50878, 53937, 51174, 52758, 50833, 76572, 51448, 51261, 50943, 73541, 51243, 51256, 51073, 51794, 53588, 55625, 51591, 50422, 68986, 59235, 69790, 51246, 51309, 51317, 51047, 50970, 51077, 51064, 51562, 54136, 51709, 51707, 51709, 51334, 51291, 50434, 51207, 51109, 51261, 50897, 53937, 58151, 53271, 51189, 51140, 50943, 59235, 51878, 50446, 51207, 50943, 53937, 51884, 50450, 51246, 52048, 51317, 51203, 50970, 51116, 51064, 51194, 51140, 51110, 54136, 51709, 51707, 52188, 51408, 51073, 50458, 51461, 50925, 53937, 51254, 58700, 51141, 51140, 51056, 59235, 51314, 51229, 52392, 51299, 53849, 50422, 51131, 51253, 53476, 51679, 50426, 50986, 51233, 50970, 50918, 50947, 51025, 52131, 51108, 51997, 51753, 50434, 51131, 51380, 51140, 50925, 52344, 68112, 51725, 51562, 51461, 51056, 62967, 51878, 50446, 51131, 51267, 53476, 71320, 50986, 51484, 50970, 51111, 50947, 51400, 51997, 51576, 52131, 51484, 50458, 51461, 50925, 52344, 51210, 50460, 53032, 50822, 55625, 61243, 51165, 50932, 64752, 52378, 50960, 51221, 50970, 51178, 73964, 52162, 51484, 52131, 51283, 52391, 51576, 51408, 51048, 51107, 51330, 52758, 50995, 50415, 51064, 51111, 50425, 51504 ]
[ 0, 250, 2635, 8, 5679, 26709, 5175, 25771, 2214, 4246, 10, 6755, 12547, 6, 13305, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 3459, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 33215, 16739, 1171, 163, 6, 230, 10431, 6, 2060, 119, 406, 6, 3676, 1176, 406, 6, 8, 230, 10431, 119, 406, 4, 20, 1374, 6711, 16, 19448, 8, 15352, 30054, 6, 19, 10, 11602, 9, 15073, 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, 0 ]	[ 61791, 50799, 58748, 51148, 56258, 51300, 51324, 51551, 50417, 52745, 50824, 51086, 54226, 52435, 51072, 51040, 51454, 50423, 51440, 51072, 50877, 73708, 51929, 50993, 50965, 69464, 51957, 52952, 58748, 50896, 52745, 51033, 52027, 50824, 51944, 50860, 51857, 51009, 51324, 52297, 50303, 50940, 50956, 53531, 50310, 61870, 51808, 51300, 50973, 51300, 50444, 51944, 51029, 50989, 65027, 56194, 50896, 52745, 50896, 52027, 51958, 50298, 51800, 50303, 69796, 50914, 50799, 58748, 52512, 56258, 51870, 51324, 52195, 50417, 52745, 50824, 51086, 74983, 52435, 51066, 51040, 50980, 50423, 51440, 50993, 50877, 67270, 51929, 64452, 54241, 51944, 51407, 50989, 73018, 52745, 51237, 52027, 50824, 58748, 51054, 51857, 51009, 51086, 73453, 53177, 50291, 58833, 56194, 50824, 52745, 50824, 52027, 50824, 58748, 50824, 51378, 50824, 51086, 69382, 50824, 51324, 51237, 72191, 52435, 51072, 51660, 50824, 51929, 51072, 56922, 51009, 51957, 51029, 56470, 51080, 53278, 51314, 54165, 51244, 51912, 68708, 51566, 50916, 68678, 51072, 51360, 67330, 51917, 53213, 51917, 54381, 51912, 51973, 52435, 51159, 51660, 51072, 51929, 51072, 51040, 51312, 50916, 51072, 50965, 51072, 50427, 51917, 54684, 51957, 50936, 51912, 56788, 51917, 55276, 52027, 51159, 51944, 51072, 51773, 51056, 55677, 51009, 51533, 51552, 55080, 51314, 53654, 51080, 53361, 51314, 50956, 51312, 50989, 51072, 50906, 51312, 51197, 51009, 50440, 51772, 59503, 51772, 58332, 52027, 51109, 51944, 50824, 51773, 51072, 50956, 51380, 50989, 62398, 73774, 51912, 55370, 51533, 50936, 51772, 58150, 51366, 59426, 51256, 50961, 51547, 50930, 67548, 51072, 51929, 51072, 55243, 51300, 52745, 51055, 51374, 51141, 53278, 51148, 54165, 51080, 54008, 51080, 51674, 52035, 50308, 51072, 50965, 51735, 51315, 51300, 51086, 51048, 50419, 51547, 52801, 51547, 54675, 52745, 51048, 51660, 51072, 51929, 51072, 51086, 74669, 51072, 50965, 51072, 50430, 51366, 52359, 51374, 51030, 51547, 52125, 56194, 51009, 52435, 51109, 51944, 51072, 51440, 51072, 51640, 51204, 55080, 51080, 53654, 51080, 52684, 51314, 51378, 51009, 51040, 51199, 50989, 51072, 50877, 63758, 52435, 51290, 51944, 51072, 51440, 52035, 50305, 51157, 73066, 50877, 55273, 51440, 51014, 51640, 50813, 51547, 61539, 70143, 51808, 50950, 51602, 50810, 51674, 74711, 50821, 67548, 51551, 51440, 51029, 52361, 50975, 56090, 51009, 51349, 51009, 55080, 51244, 53278, 51145, 52684, 51314, 51229, 52035, 50308, 63831, 51029, 51028, 50975, 51279, 57214, 51674, 52801, 52043, 50802, 51547, 50975, 50968, 55396, 52361, 67797, 52030, 51366, 53263, 51440, 50950, 51547, 65066, 52877, 51944, 51300, 51808, 51059, 52603, 50975, 56090, 51009, 51349, 51009, 53953, 51080, 53654, 51148, 54008, 51314, 50989, 52512, 50973, 51059, 51001, 50975, 51279, 51009, 50442, 51674, 50952, 50447, 53335, 50802, 51912, 51116, 51114, 55680, 52603, 62306, 52325, 53008, 54678, 51808, 50803, 51912, 79977, 50803, 78320, 51073, 51929, 51072, 54632, 51009, 51602, 51029, 53953, 51314, 54165, 51145, 54008, 51314, 50956, 51159, 50965, 51072, 51176, 60625, 52027, 51056, 51929, 51072, 51808, 61829, 51253, 50965, 51454, 50973, 51056, 50432, 51602, 50866, 51256, 58167, 51547, 54496, 51256, 50895, 51366, 51235, 50438, 52435, 50943, 51660, 51056, 51929, 51072, 56922, 52195, 51957, 51029, 56470, 51244, 53278, 51127, 54165, 51244, 51040, 72272, 51253, 50965, 51566, 51360, 51291, 50450, 52435, 50874, 51660, 51072, 51929, 75465, 50912, 50916, 51072, 50965, 52325, 51440, 50803, 51602, 50987, 51547, 61539, 52937, 51808, 63550, 50803, 65293, 73471, 51072, 56194, 51009, 51944, 51072, 52361, 51072, 51640, 51552, 55080, 51445, 53278, 51445, 52684, 51243, 51229, 61539, 51072, 51378, 51009, 50989, 51072, 51028, 51072, 50417, 51229, 53213, 51547, 52038, 51944, 51072, 51440, 51806, 52361, 50824, 50989, 77402, 53697, 51028, 53566, 51957, 57659, 51917, 54496, 51640, 66248, 51366, 52952, 51660, 51072, 51440, 51072, 52043, 51290, 56194, 51009, 51640, 51072, 51366, 66545, 51072, 50877, 51072, 50968, 51159, 51378, 68071, 51366, 61443, 51917, 52175, 51660, 51290, 51440, 51055, 52043, 51157, 51957, 51073, 50916, 71004, 51157, 50968, 51267, 50453, 51664, 52884, 51451, 57895, 51917, 59616, 51451, 50817, 51912, 50975, 50799, 52745, 51566, 51660, 50824, 51944, 50824, 58748, 51009, 51857, 51379, 56470, 51449, 53278, 51148, 53654, 51449, 51086, 51048, 50916, 53531, 50310, 51958, 50291, 51009, 50423, 51857, 59101, 52745, 51072, 51086, 73708, 51660, 51286, 50916, 61120, 51944, 76280, 50987, 50433, 56258, 52674, 51808, 51407, 50973, 73018, 51944, 51454, 58748, 51454, 52745, 51566, 52027, 51454, 53953, 51080, 50989, 51290, 51324, 51290, 51086, 61829, 77225, 52027, 50824, 58748, 50824, 52745, 50824, 51944, 69382, 50824, 51324, 50824, 51086, 50824, 50989, 50824, 77631, 51072, 51660, 50824, 51929, 51072, 56922, 51009, 51957, 51029, 56470, 51145, 53278, 51336, 54165, 51145, 51912, 50811, 51040, 51566, 50916, 68678, 51072, 51360, 51009, 53541, 51244, 52033, 51244, 52255, 51244, 50417, 51917, 52244, 51917, 54381, 51912, 51973, 52435, 51159, 51660, 51072, 51929, 51072, 51917, 52035, 50305, 51312, 50916, 51072, 50965, 64414, 51957, 50860, 51912, 54496, 51917, 55276, 52027, 51159, 51944, 51072, 51773, 51056, 55677, 51009, 51533, 51029, 55080, 51148, 53654, 51356, 53361, 51145, 50956, 51312, 50989, 51072, 50906, 51312, 51197, 51009, 53100, 51244, 52332, 51244, 51863, 51244, 50441, 51772, 52284, 51772, 50823, 51495, 69830, 52027, 51109, 51944, 50824, 51773, 51072, 51268, 69796, 51380, 50989, 62398, 64531, 51533, 50937, 51772, 50803, 51193, 67238, 51547, 50803, 67548, 51072, 51929, 51072, 55243, 51300, 52745, 51055, 51374, 51029, 53278, 52644, 54165, 51127, 54008, 51244, 51674, 60680, 61679, 51072, 50965, 51735, 51315, 51300, 51086, 51048, 52033, 53478, 52255, 51244, 52187, 51244, 50417, 51547, 53213, 51547, 50811, 51089, 51189, 50423, 51547, 51973, 52745, 51048, 51660, 51072, 51929, 51072, 51256, 50817, 51281, 51741, 50303, 74669, 51072, 50965, 51072, 50427, 51547, 54179, 51374, 50860, 51547, 60680, 57815, 51547, 55276, 56194, 51009, 52435, 51109, 51944, 51072, 51440, 51072, 51132, 50839, 51640, 51496, 55080, 51127, 52684, 51148, 51378, 51009, 51040, 51199, 50989, 51072, 50877, 51072, 53100, 51244, 51656, 79098, 51089, 70269, 52435, 51290, 51944, 51072, 51440, 50860, 51023, 51109, 51040, 51157, 73066, 50877, 55273, 51440, 51014, 51640, 50811, 51547, 50811, 51385, 59389, 71208, 51674, 52937, 51808, 50950, 51602, 67046, 50821, 67548, 51551, 51440, 51029, 52361, 50975, 56090, 51009, 51349, 51300, 55080, 51148, 52684, 51047, 51229, 52035, 50308, 63831, 51029, 51028, 50975, 51279, 51009, 53100, 51244, 51656, 51244, 50417, 51089, 73967, 51674, 50803, 51023, 51043, 50423, 52043, 50802, 51547, 50802, 51403, 51110, 50968, 55396, 52361, 50802, 51366, 51138, 51023, 78054, 52030, 51089, 73187, 51440, 50950, 51374, 50930, 51547, 50860, 51023, 57069, 52877, 51944, 51300, 51808, 51059, 52603, 50975, 56090, 51009, 51349, 51029, 53953, 51103, 53654, 51336, 54008, 51145, 51268, 51962, 50310, 52512, 50973, 51059, 51001, 50975, 51279, 51009, 52402, 51244, 52332, 51244, 52187, 51244, 50441, 51674, 50860, 51208, 51194, 50444, 51268, 51203, 50446, 51912, 63058, 53335, 50802, 52165, 51233, 51114 ]
[ 0, 250, 2635, 12, 20764, 5175, 25771, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 18558, 6, 3459, 8669, 6, 21979, 9590, 6, 38668, 22052, 6, 8, 5921, 3343, 1290, 642, 5255, 4, 20, 15352, 30054, 15229, 11, 211, 3694, 7630, 6568, 10, 19448, 8, 5679, 26709, 5466, 6, 19, 10, 881, 21263, 9, 5, 33215, 16739, 230, 10431, 119, 6, 211, 6, 83, 6, 163, 119, 406, 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 ]	[ 57128, 50799, 59440, 50991, 52089, 51160, 54027, 51645, 50438, 54445, 51112, 51584, 51500, 52155, 51172, 72671, 52720, 52582, 52204, 51701, 51801, 51273, 51237, 54308, 51013, 51902, 50896, 52202, 51003, 51547, 50886, 51229, 50857, 51590, 50864, 51390, 54355, 50840, 56443, 50370, 55550, 54657, 50998, 50820, 51078, 50834, 50947, 50820, 60165, 50818, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 58412, 51559, 52273, 60455, 56295, 51547, 50813, 51229, 51297, 53076, 53352, 56330, 56685, 59197, 51216, 50896, 53444, 52195, 52170, 52195, 52671, 51417, 58301, 50828, 51366, 50857, 51547, 50857, 51229, 50813, 51934, 53309, 50840, 67183, 64428, 52134, 53666, 58467, 50998, 50839, 51078, 50820, 50947, 50834, 79916, 50846, 51366, 50904, 51547, 50941, 51229, 50886, 51934, 61742, 50862, 56370, 57694, 56524, 51366, 50886, 51547, 50904, 51229, 50813, 53076, 54742, 56330, 60960, 61389, 51273, 50896, 62086, 50818, 51322, 50813, 51366, 50813, 51547, 50857, 51229, 50813, 51590, 54355, 53352, 51421, 52273, 50366, 51398, 51297, 53012, 54857, 57522, 50998, 50839, 51078, 50839, 50947, 50834, 51547, 50886, 51229, 50867, 51590, 50867, 51390, 61742, 51559, 53716, 59317, 54417, 51547, 50867, 51229, 50857, 51590, 50862, 51390, 50813, 53076, 53352, 52273, 60960, 60258, 51216, 50896, 54027, 50809, 51322, 50867, 51547, 50886, 51229, 50867, 51934, 55503, 52873, 53616, 50364, 51398, 52134, 54287, 60550, 52155, 50887, 50998, 50820, 51078, 50820, 50947, 50829, 51322, 50886, 51547, 50886, 51229, 50857, 51934, 58412, 50862, 67183, 58476, 50864, 52215, 60960, 50971, 54079, 50896, 52202, 50830, 51547, 50904, 51229, 50867, 51590, 50904, 51390, 55642, 50840, 67183, 65094, 51851, 53321, 54202, 50998, 50820, 51078, 50834, 50947, 50829, 51547, 50904, 51229, 50813, 51590, 50886, 51390, 74409, 50862, 67183, 59317, 57559, 51547, 50813, 51229, 50813, 51590, 50886, 51390, 55924, 52273, 60960, 59197, 51216, 50896, 52089, 50821, 52974, 53558, 54345, 52304, 53716, 65094, 52134, 53666, 58255, 51584, 50882, 52792, 50882, 50998, 50834, 51078, 50820, 50947, 50829, 51547, 50886, 51229, 50867, 51590, 50941, 51390, 72614, 53340, 52273, 59317, 55643, 51547, 50904, 51229, 50886, 51590, 51000, 51390, 58652, 56330, 60960, 64212, 51273, 51016, 51902, 51033, 54932, 70146, 52217, 52273, 65094, 51851, 53012, 54857, 76373, 50998, 50820, 51078, 50834, 50947, 50829, 51547, 50864, 51229, 50886, 51590, 50941, 51390, 79041, 51559, 52273, 58476, 57091, 51547, 50886, 51229, 50886, 51590, 50941, 51390, 55651, 53716, 63711, 71841, 51216, 51090, 54027, 52773, 50840, 67183, 50366, 51398, 51851, 54287, 55293, 52155, 50800, 50998, 50834, 51078, 62222, 50835, 51547, 50857, 51229, 50867, 51590, 50886, 51390, 79041, 50862, 67183, 58476, 56551, 51547, 50864, 51229, 50886, 51590, 51000, 51390, 55651, 53291, 62320, 51297, 72671, 51748, 52582, 51922, 51701, 51445, 51273, 50896, 51584, 51183, 51902, 51183, 51612, 51103, 52974, 51047, 52202, 53672, 50840, 56443, 65094, 51297, 53321, 62910, 52202, 50859, 50998, 50820, 51078, 50820, 50947, 50834, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 79041, 51559, 52273, 59317, 56037, 52155, 50887, 51547, 50886, 51229, 50886, 51590, 50971, 51390, 55619, 56330, 62320, 57203, 51216, 50896, 52202, 52773, 50840, 67183, 50364, 51398, 51851, 53666, 58255, 52202, 50840, 50998, 50820, 51078, 50820, 50947, 50834, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 79041, 50862, 56370, 57694, 56524, 52155, 50809, 51547, 50886, 51229, 50886, 51590, 50971, 51390, 59392, 56330, 63711, 52134, 68005, 50896, 52089, 51189, 51584, 51189, 51902, 51189, 51612, 51189, 52202, 53672, 51559, 52273, 50366, 51398, 51851, 53012, 54857, 62232, 52671, 50840, 50998, 50839, 51078, 50820, 50947, 50820, 51547, 50886, 51229, 50867, 51590, 50971, 51390, 50370, 51822, 51559, 53716, 59317, 57091, 51596, 50800, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 55619, 52273, 60960, 53996, 51216, 50896, 52671, 52773, 52873, 53616, 50366, 51398, 50941, 54287, 55293, 52155, 50836, 50998, 50839, 51078, 50834, 50947, 50834, 51547, 51000, 51229, 50886, 51590, 50941, 51390, 50371, 51822, 50862, 67183, 57694, 54655, 51547, 50971, 51229, 50886, 51590, 50904, 51390, 55785, 63711, 51319, 50799, 52091, 53678, 51678, 51490, 52252, 52212, 51493, 50896, 52182, 52423, 54218, 52304, 53716, 65094, 51126, 53321, 58333, 55699, 50808, 51555, 50940, 51902, 50940, 50998, 50820, 50929, 50820, 51076, 50835, 51067, 50835, 55839, 50886, 51366, 50867, 51209, 50886, 51590, 51000, 51390, 79041, 50862, 67183, 59317, 55754, 51366, 50857, 51209, 50867, 51590, 50971, 51390, 55619, 52273, 60960, 52514, 50426, 51668, 51016, 54308, 50833, 51902, 50812, 51612, 50859, 50998, 50820, 50929, 50837, 51076, 50837, 51067, 50835, 62086, 53704, 54345, 52304, 53716, 50364, 51398, 51319, 53666, 67494, 52123, 50800, 51612, 50952, 52974, 50858, 50998, 50820, 50929, 50820, 51076, 50829, 51067, 50835, 60165, 50884, 51366, 50886, 51209, 50886, 51590, 51126, 51390, 50370, 51822, 53340, 52273, 58476, 56524, 51366, 50867, 51209, 50886, 51590, 51126, 51390, 55106, 56330, 61402, 52134, 50438, 51701, 52212, 51216, 51090, 53444, 50948, 52170, 50924, 52075, 50940, 58301, 54405, 54472, 51421, 52273, 50364, 51398, 51319, 53012, 54857, 60226, 50998, 73942, 50829, 50947, 50835, 51316, 50886, 51366, 50864, 51209, 50886, 51229, 50867, 51934, 72614, 51559, 52273, 58476, 54417, 51366, 50867, 51209, 50886, 51229, 50813, 51934, 55924, 53716, 62635, 60678, 52419, 50896, 55699, 50795, 51555, 51158, 52182, 59597, 50840, 67183, 50364, 51398, 51297, 54287, 60272, 54308, 50879, 51902, 50879, 52202, 50849, 50998, 70169, 63134, 50867, 51316, 50867, 51366, 50867, 51209, 50864, 51229, 50857, 51934, 58412, 50862, 67183, 57694, 57187, 51366, 50867, 51209, 50904, 51229, 50857, 51934, 53352, 53291, 63711, 51851, 50799, 52091, 54270, 51678, 53201, 52252, 52720, 51493, 51016, 52041, 50889, 52075, 50889, 51789, 58307, 50840, 56443, 50363, 51398, 51126, 53321, 55650, 50998, 73942, 50835, 51076, 50837, 51067, 50837, 51366, 50886, 51209, 50886, 51590, 50971, 51390, 72614, 51559, 52273, 58476, 56037, 51366, 50867, 51209, 50857, 51590, 50904, 51390, 55619, 56330, 62320, 54689, 51668, 50896, 52089, 51362, 52974, 51191, 52083, 51241, 52006, 51071, 52304, 53716, 65094, 54060, 53666, 55487, 50998, 73942, 50835, 51076, 50837, 51067, 50835, 51366, 50867, 51209, 50867, 51590, 50941, 51390, 50371, 51822, 50862, 56370, 57694, 57039, 51366, 50857, 51209, 50857, 51590, 50886, 51390, 59606, 56330, 63711, 54927, 51493, 57231, 51559, 52273, 50364, 51398, 51297, 53012, 52510, 51555, 51014, 51565, 50836, 50998, 70169, 50834, 51076, 50829, 51067, 50837, 51366, 50857, 51209, 50857, 51590, 79041, 51559, 53716, 59317, 57091, 51366, 50867, 51209, 50857, 51590, 50867, 51390, 74068, 52273, 62320, 71841, 51668, 50896, 52089, 50882, 52083, 52773, 54345, 52207, 53616, 51851, 54287, 71736, 52123, 51033, 51596, 50836, 50998, 50834, 50929, 50820, 51076, 50835, 51067, 50835, 51366, 50857, 51209, 50813, 51590, 50886, 51390, 50369, 51822, 50862, 67183, 58476, 57187, 51366, 50857, 51209, 50857, 51590, 50867, 51390, 60348, 61402, 51297, 56098, 51016, 52041, 50921, 51789, 53097, 54218, 52304, 53716, 50363, 51398, 52514, 53321, 58333, 51555, 50882 ]
[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 765, 2125, 7630, 6568, 41, 9066, 8, 3722, 5466, 4, 27901, 10, 11739, 9, 24896, 6, 486, 118, 9877, 483, 6, 6755, 12547, 6, 8, 5730, 2342, 4467, 6, 24, 30853, 11, 230, 3694, 23, 41, 12447, 1001, 20889, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 3222, 5785, 9, 40286, 6, 217, 230, 6, 2060, 6, 230, 119, 6, 274, 401, 6, 8, 230, 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 ]	[ 56236, 51201, 51492, 51304, 51492, 50796, 50799, 51905, 51492, 50796, 70564, 51492, 51304, 51492, 50796, 70526, 51492, 51629, 51492, 51743, 51492, 53718, 51492, 50796, 63441, 51492, 51394, 51492, 51615, 51492, 54307, 51492, 50796, 68051, 51492, 51182, 51492, 52133, 51492, 52626, 51492, 51147, 51492, 50796, 68051, 51492, 51201, 51492, 51629, 51492, 52133, 51492, 52626, 51492, 50999, 51492, 50799, 53599, 51492, 50799, 51794, 51036, 51182, 51492, 53100, 51036, 53976, 51036, 51147, 51492, 50799, 52143, 51492, 51426, 51036, 52402, 51036, 54339, 51036, 70526, 51492, 51201, 51492, 51304, 51492, 51743, 51492, 53718, 51492, 51399, 51492, 50796, 61627, 51887, 51036, 54720, 51036, 52036, 51036, 63441, 50918, 51182, 78670, 50918, 54307, 56039, 53599, 51492, 51375, 51492, 51629, 51492, 52255, 51492, 56726, 51492, 50796, 61627, 52143, 51492, 51088, 51492, 51182, 51492, 51615, 51492, 54307, 51492, 50796, 50796, 50799, 70284, 51036, 51951, 51605, 50456, 52249, 50795, 50799, 50691, 50295, 51036, 52064, 51036, 50799, 50691, 50290, 76175, 54236, 52382, 50799, 50691, 50292, 78140, 54236, 51798, 51951, 51923, 52249, 50795, 50799, 70284, 51036, 51951, 51605, 50456, 54236, 50795, 50799, 50691, 50295, 51036, 52780, 51036, 50799, 50691, 50290, 51036, 50799, 50691, 50292, 51036, 50435, 57496, 51492, 50799, 70284, 51036, 52780, 53520, 50799, 50691, 50295, 51036, 52813, 77481, 54313, 50795, 54113, 51923, 52682, 50795, 54236, 50795, 50799, 50691, 50290, 51036, 54313, 51036, 56929, 51036, 50799, 50691, 50292, 51036, 52682, 50918, 56212, 76175, 54313, 50918, 50799, 70284, 51036, 53992, 51036, 52780, 51036, 50799, 50691, 50295, 51036, 52682, 50918, 51951, 56039, 54313, 50918, 54236, 50918, 50799, 50691, 50290, 51036, 53928, 51036, 52249, 51492, 55667, 51036, 50799, 50691, 50292, 51036, 52064, 51036, 53664, 51036, 50799, 56997, 55728, 55324, 52296, 63648, 51620, 56997, 52765, 55324, 51628, 63648, 52262, 56997, 51724, 55324, 52831, 63648, 51820, 56997, 52513, 55324, 51757, 63648, 52809, 56997, 51754, 55324, 52567, 63648, 50800, 50799, 56019, 50795, 63648, 53504, 55299, 51835, 55324, 52296, 55299, 51620, 56019, 50800, 63648, 52765, 55299, 51628, 55299, 52262, 56019, 50800, 55324, 51820, 56019, 50800, 55324, 52809, 56019, 50800, 55324, 50800, 57731, 71345, 51620, 69336, 52765, 71345, 51628, 69336, 52262, 69336, 51724, 63648, 52831, 69336, 51820, 55261, 52513, 63648, 51757, 69336, 52809, 55261, 51754, 59422, 52567, 59422, 50800, 50799, 73809, 50795, 55261, 51835, 55261, 52296, 71345, 51620, 73809, 51628, 71345, 52262, 50733, 50338, 50800, 56019, 51820, 56019, 50800, 71345, 52809, 56019, 50800, 50733, 50338, 51754, 55299, 50800, 50799, 56997, 55728, 55324, 52296, 63648, 51620, 56997, 52765, 55324, 51628, 63648, 52262, 56997, 51724, 55324, 52831, 63648, 51820, 56997, 52513, 55324, 51757, 63648, 52809, 56997, 51754, 55324, 52567, 63648, 50800, 50799, 56019, 50795, 63648, 53504, 55299, 51835, 55324, 52296, 55299, 51620, 56019, 50800, 63648, 51736, 55299, 52262, 56019, 50800, 55324, 51820, 56019, 50800, 55324, 52809, 56019, 50800, 55324, 50800, 57731, 71345, 51620, 69336, 52765, 71345, 51628, 69336, 52262, 69336, 51724, 63648, 52831, 69336, 51820, 55261, 52513, 63648, 51757, 69336, 52809, 55261, 51754, 59422, 52567, 59422, 50800, 50799, 73809, 50795, 55261, 51835, 55261, 52296, 71345, 51620, 73809, 51628, 71345, 52262, 56019, 50800, 50733, 50338, 51724, 71345, 52831, 63648, 51820, 56019, 52513, 50733, 50338, 51757, 55261, 52809, 56019, 52567, 50733, 50338, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 10, 2842, 9, 3152, 6, 4246, 10, 3152, 6757, 6, 16224, 1097, 483, 6, 21979, 8669, 6, 6755, 12547, 6, 8, 3459, 9590, 6, 70, 567, 561, 7, 1045, 10, 8520, 8, 5679, 26709, 5466, 6, 150, 67, 7630, 14805, 10, 1472, 9, 11098, 8, 26545, 6, 25, 24, 26658, 23, 41, 178, 5285, 20889, 11, 5, 762, 9, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 10, 33215, 13931, 14, 25935, 1626, 227, 272, 8, 230, 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 ]	[ 57128, 79822, 51151, 53460, 51801, 52693, 51801, 52684, 51243, 50669, 50352, 51306, 50415, 70243, 51306, 50416, 62688, 51306, 50417, 54753, 51258, 50418, 52836, 51258, 50419, 52463, 57236, 51829, 51129, 50421, 52463, 78893, 52836, 64024, 54753, 78572, 51829, 70297, 52463, 53896, 50669, 50352, 51306, 50427, 70243, 51306, 50428, 62688, 51306, 50429, 54753, 51258, 50430, 52836, 73501, 52463, 57617, 51829, 78694, 52463, 79302, 52836, 66007, 54753, 78573, 51829, 66643, 52463, 54203, 50669, 50352, 51004, 50439, 70243, 50982, 50440, 62688, 65649, 54753, 69949, 52836, 68211, 52463, 54485, 51829, 64734, 52463, 60966, 52836, 55686, 54753, 71483, 51829, 61244, 52463, 53430, 50669, 50352, 58517, 70243, 66730, 62688, 54781, 54753, 59699, 52836, 59713, 52463, 53217, 51829, 57077, 52463, 57110, 52836, 54026, 54753, 58841, 51829, 57995, 52463, 50837, 50799, 51211, 51151, 52507, 51243, 50669, 50352, 64565, 70243, 50891, 50416, 62688, 57226, 54753, 66478, 52836, 62503, 52463, 53405, 51829, 59109, 52463, 58409, 52836, 54604, 54753, 60548, 51829, 59045, 52463, 52966, 50669, 50352, 78342, 70243, 50982, 50428, 62688, 58832, 54753, 62618, 52836, 66284, 52463, 53814, 51829, 62713, 52463, 63795, 52836, 55813, 54753, 66640, 51829, 60622, 52463, 54114, 50669, 50352, 51129, 50439, 70243, 51129, 50440, 62688, 65649, 54753, 71096, 52836, 68211, 52463, 53858, 51829, 63157, 52463, 60966, 52836, 55721, 54753, 63612, 51829, 60145, 52463, 53003, 50669, 50352, 78878, 70243, 50908, 50452, 62688, 56597, 54753, 60535, 52836, 61021, 52463, 53007, 51829, 59044, 52463, 57110, 52836, 54026, 54753, 59025, 51829, 56603, 52463, 50835, 79822, 51047, 52684, 51243, 50669, 50352, 57392, 70243, 76965, 62688, 56231, 54753, 59527, 52836, 61732, 52463, 52944, 51829, 58092, 52463, 55983, 52836, 53109, 54753, 59768, 51829, 58964, 52463, 52670, 50669, 50352, 61033, 70243, 74031, 62688, 57265, 54753, 58027, 52836, 61193, 52463, 53196, 51829, 60050, 52463, 58662, 52836, 54483, 54753, 59131, 51829, 57892, 52463, 52904, 51634, 51047, 50669, 50352, 64481, 70243, 50908, 50440, 62688, 57502, 54753, 61118, 52836, 65672, 52463, 53384, 51829, 59892, 52463, 60402, 52836, 55721, 54753, 63612, 51829, 57855, 52463, 53166, 50669, 50352, 79949, 70243, 50982, 50452, 62688, 60491, 54753, 67827, 52836, 64360, 52463, 54038, 51829, 63367, 52463, 67076, 52836, 56232, 54753, 63940, 51829, 59546, 52463, 50928, 50799, 51211, 51151, 52507, 51243, 50669, 50352, 57610, 70243, 76965, 62688, 56231, 54753, 59527, 52836, 61732, 52463, 53070, 51829, 60916, 52463, 59136, 52836, 53991, 54753, 59825, 51829, 60931, 52463, 52917, 50669, 50352, 75717, 70243, 79499, 62688, 58832, 54753, 62618, 52836, 62000, 52463, 53670, 51829, 62713, 52463, 63795, 52836, 55813, 54753, 66640, 51829, 60622, 52463, 54114, 53679, 51080, 50669, 50352, 57477, 70243, 69864, 62688, 55788, 54753, 59144, 52836, 59692, 52463, 53114, 52832, 50893, 51829, 59843, 52463, 57785, 52836, 54284, 54753, 62749, 51829, 57989, 52463, 52805, 51831, 50893, 50669, 50352, 78878, 70243, 50908, 50452, 62688, 58207, 54753, 60202, 52836, 61634, 52463, 53553, 51652, 50893, 51829, 58908, 52463, 61034, 52836, 56047, 54753, 63414, 51829, 56772, 52463, 50908, 50799, 51831, 51227, 53460, 53201, 52693, 57820, 52684, 57820, 53465, 53486, 51504, 58590, 52919, 50669, 50352, 74663, 70243, 51004, 50416, 62688, 77298, 54753, 68419, 52836, 73954, 52463, 54183, 51131, 54879, 50914, 51829, 62589, 52463, 69917, 52836, 58362, 54753, 75730, 51829, 67726, 52463, 53896, 50986, 57750, 62138, 51131, 54879, 53912, 50986, 57750, 61726, 52832, 50893, 51131, 54879, 55082, 51831, 50948, 50986, 57750, 61510, 51652, 50893, 51131, 54879, 50889, 75799, 50858, 50986, 57750, 51016, 50417, 51652, 54718, 51831, 50893, 51131, 54879, 53466, 51652, 51235, 53278, 51922, 52507, 51922, 51725, 63508, 51151, 50432, 51574, 55077, 53912, 51207, 57750, 61726, 51574, 55077, 55441, 51207, 57750, 61510, 51652, 50858, 51574, 55077, 50914, 50459, 51667, 50893, 61108, 57750, 51016, 50417, 51721, 51235, 50420, 51574, 55077, 53466, 51643, 50893, 52307, 50918, 52693, 51922, 52684, 51922, 51504, 58736, 51422, 50432, 51721, 51016, 51131, 56011, 53912, 50986, 57750, 51343, 50444, 51667, 51175, 51131, 54879, 64712, 52795, 50918, 51725, 51867, 50289, 51047, 50456, 51504, 58451, 50849, 50799, 52832, 50893, 50986, 57045, 67039, 52457, 51016, 51131, 57847, 53466, 52795, 51127, 54522, 51922, 52583, 51922, 52693, 51922, 53271, 58590, 57173, 51831, 51175, 51504, 58338, 51538, 50438, 50960, 57045, 51356, 50444, 51504, 55257, 55082, 53602, 51448, 50960, 69964, 51356, 50456, 51504, 55257, 51141, 61894, 57045, 67039, 51831, 50858, 51504, 58338, 59573, 51652, 58292, 56035, 51922, 53460, 51922, 53278, 51922, 52012, 60925, 51151, 50429, 51652, 51290, 50432, 51574, 56467, 55965, 50986, 57750, 51356, 50441, 51667, 62961, 51652, 53885, 51831, 50895, 51574, 56467, 52596, 50986, 55969, 53586, 51574, 55077, 50889, 50799, 51831, 50893, 50986, 57750, 67039, 51667, 50940, 51574, 55077, 53466, 51667, 50858, 52583, 51922, 52693, 51922, 52684, 51922, 53465, 51922, 51444, 58590, 51452, 50429, 51652, 54154, 51831, 51173, 51504, 56011, 55965, 50986, 57750, 61726, 51504, 56011, 64712, 50986, 58310, 51047, 50456, 51504, 57076, 50889, 50799, 51831, 50893, 50986, 55792, 67039, 52457, 51290, 50986, 57076, 52483, 52583, 51922, 52507, 53201, 53361, 51922, 51444, 77792, 51151, 50432, 52832, 50940, 51207, 57046, 53912, 52832, 50890, 50960, 60014, 51016, 50441, 52832, 54651, 51207, 57046, 50889, 50446, 52832, 57322, 51246, 55969, 61510, 51207, 57046, 50914, 50799, 52457, 50948, 50960, 60014, 67039, 52770, 51290, 51207, 57046, 52483, 53460, 53201, 52693, 51922, 51725, 57769, 50893, 50669, 50352, 78342, 70243, 79499, 62688, 60481, 54753, 65973, 52836, 66284, 52463, 53814, 52457, 50940, 51504, 57076, 51103, 51829, 60002, 52463, 59383, 52836, 55799, 54753, 60591, 51829, 57892, 52463, 52904, 52832, 50858, 51207, 57750, 51356, 50669, 50352, 62889, 70243, 50928, 50440, 62688, 60895, 55066, 50895, 54753, 72536, 52836, 65454, 52463, 53858, 52457, 50948, 51504, 50892, 51829, 59892, 52463, 60402, 52836, 55721, 54753, 60852, 51829, 60145, 52463, 53003, 51725, 57769, 50901, 50669, 50352, 65392, 70243, 70738, 62688, 56782, 54753, 60535, 52836, 61021, 52463, 53007, 51504, 57076, 51189, 51829, 59044, 52463, 57110, 52836, 54026, 54753, 59025, 51829, 56834, 52463, 50837, 61108, 57750, 51016, 50669, 50352, 55376, 70243, 63749, 62688, 55926, 54753, 60941, 52836, 63180, 52463, 53227, 51504, 50892, 51829, 61266, 52463, 58235, 52836, 54446, 54753, 59094, 51829, 57074, 52463, 52639, 53278, 51922, 51725, 57769, 50845, 50669, 50352, 58815, 70243, 68564, 62688, 54956, 54753, 59508, 52836, 59651, 52463, 53063, 51574, 56467, 51077, 51829, 57107, 52463, 56516, 52836, 54288, 54753, 59370, 51829, 57405, 52463, 52621, 50986, 57750, 51356, 50669, 50352, 58751, 70243, 69864, 62688, 54905, 54753, 59721, 52836, 59692, 52463, 53114, 51574, 50892, 51829, 57013, 52463, 56453, 52836, 53528, 54753, 62749, 51829, 58510, 52463, 52763, 50986, 55969, 50845, 50669, 50352, 69232, 70243, 69909, 62688, 56782, 54753, 58686, 52836, 61021, 52463, 53217, 52832, 50893, 51574, 56467, 50889, 51829, 57077, 52463, 57110, 52836 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 15855, 15229, 4246, 13305, 6, 38668, 11212, 6, 38668, 2236, 6, 8, 18558, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 2351, 10, 15352, 30054, 8, 2829, 2933, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 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 ]	[ 57448, 57448, 50951, 51260, 50280, 52845, 50292, 50995, 50421, 50999, 53591, 50951, 52580, 72097, 51026, 52026, 50304, 68186, 50995, 50430, 50951, 54221, 50999, 56149, 50951, 54123, 51026, 62447, 65377, 51741, 50332, 59124, 51026, 63085, 76371, 80082, 51097, 56807, 51519, 50280, 51741, 50292, 50889, 50421, 50999, 52296, 50951, 51620, 51114, 67027, 65065, 64291, 51013, 50430, 50951, 52559, 50999, 53263, 50951, 52599, 51026, 65065, 64291, 66950, 59731, 51026, 60045, 60817, 58835, 51003, 55331, 51568, 50287, 52019, 50299, 51003, 50421, 50968, 55266, 50902, 53450, 70806, 51026, 51741, 50303, 61849, 60138, 50943, 50430, 50902, 53911, 50968, 56529, 50902, 53415, 50973, 51060, 51026, 51734, 50303, 62649, 60241, 53218, 50861, 51158, 60027, 51158, 51026, 51800, 50303, 64815, 61581, 63505, 50973, 50937, 54960, 51712, 50328, 51514, 50280, 51517, 50292, 51003, 50421, 50902, 51712, 50330, 53172, 50968, 51962, 50332, 52434, 50299, 66953, 72272, 60307, 50999, 51644, 50337, 54233, 51026, 60045, 60817, 73024, 51047, 51487, 66336, 51026, 60045, 60817, 50889, 56807, 51519, 50280, 51741, 50292, 50889, 50421, 50999, 52296, 50951, 51620, 51114, 67027, 69970, 65788, 51013, 50430, 50951, 52559, 50999, 53263, 50951, 52599, 51026, 65065, 64291, 50807, 51430, 59731, 51026, 60045, 60817, 51608, 50328, 51003, 56807, 51568, 50280, 51517, 50292, 51003, 50421, 50999, 54252, 50951, 53450, 74251, 51026, 66953, 72272, 51003, 50430, 50951, 53513, 50999, 55167, 50951, 52729, 51026, 63682, 68184, 74335, 57197, 51026, 60045, 60817, 58835, 50915, 55331, 51519, 50287, 51807, 50299, 50807, 50421, 50968, 52296, 50902, 51620, 51028, 67027, 51608, 50303, 62525, 59428, 51016, 50430, 50902, 52559, 50968, 53263, 50902, 52841, 50973, 51158, 51026, 51800, 50303, 64815, 61581, 53218, 50861, 51060, 60027, 51111, 51026, 51807, 50303, 64763, 59782, 55069, 50973, 51058, 57448, 50876, 63682, 68186, 50915, 50421, 50624, 50426, 50951, 51517, 50332, 51619, 50299, 50995, 50428, 50624, 50436, 50623, 62275, 78172, 52019, 50328, 50915, 50443, 50623, 50450, 50619, 57448, 54985, 50981, 51667, 50981, 52172, 50981, 56293, 51741, 50289, 52019, 50301, 58421, 52019, 50325, 58299, 54985, 51337, 51667, 51337, 52172, 51337, 56293, 51337, 51279, 51172, 51027, 51363, 69541, 50999, 51363, 50435, 54985, 50822, 51667, 50822, 52172, 50822, 56293, 50822, 51279, 50827, 51027, 50822, 57472, 50999, 52691, 54985, 51310, 51667, 51310, 52172, 51310, 56293, 51310, 51279, 51477, 51027, 51115, 50877, 51477, 50999, 51115, 50456, 53863, 50959, 51652, 50959, 51979, 50959, 55291, 50959, 51214, 50851, 51026, 50844, 58219, 50951, 56569, 53407, 50886, 51831, 50886, 51978, 50886, 54833, 51764, 50285, 50851, 72753, 58529, 58398, 79922, 50981, 52376, 50981, 52491, 50981, 58166, 51741, 50284, 52019, 50296, 65480, 78172, 58299, 51841, 51172, 51315, 51203, 50916, 51172, 50968, 51203, 50435, 51247, 50851, 72753, 58529, 50931, 53614, 51841, 51260, 50296, 61432, 67919, 53999, 52046, 53130, 50295, 52415, 50307, 78393, 58038, 51841, 52169, 50296, 61650, 52169, 50320, 54752, 51247, 51853, 50297, 60540, 57643, 50892, 79922, 50981, 52113, 50981, 52491, 50981, 58166, 51741, 50284, 52019, 50296, 65480, 78172, 58299, 53771, 51337, 52113, 51337, 52491, 51337, 58166, 51337, 51315, 51172, 50916, 51203, 72543, 51430, 51203, 50435, 53771, 50822, 52113, 50822, 52491, 50822, 58166, 50822, 51315, 50827, 63077, 57910, 51430, 52691, 53771, 50987, 52113, 50987, 52491, 50987, 58166, 52415, 50296, 63784, 61527, 51712, 50332, 53999, 53077, 50978, 51633, 50978, 52228, 50978, 56167, 51962, 50294, 52169, 50306, 75213, 52169, 50330, 58038, 53250, 50978, 51643, 50978, 52394, 50978, 56187, 51962, 50292, 52169, 50304, 62245, 52169, 50328, 54752, 56213, 50978, 52135, 50978, 54727, 50978, 64795, 51962, 50291, 51260, 50303, 68219, 74984, 50892, 79705, 50981, 51643, 50981, 52394, 50981, 56187, 51741, 50292, 63085, 60559, 52019, 50328, 58299, 51279, 51172, 51027, 51203, 69541, 50999, 51203, 50435, 51279, 50827, 51027, 50822, 57472, 50999, 52691, 51279, 51712, 50301, 57069, 74992, 53999, 51324, 52169, 50303, 52415, 50315, 52169, 50327, 58038, 51085, 52169, 50304, 62245, 52169, 50328, 54752, 51279, 68589, 59389, 60472, 50892, 77632, 50932, 52135, 50932, 51979, 50932, 55291, 51517, 50287, 52019, 50299, 58657, 74826, 58299, 53077, 51423, 52135, 51309, 51979, 51423, 55291, 51423, 51214, 51534, 51026, 51203, 50899, 51534, 50861, 51534, 50973, 51534, 50902, 51255, 50435, 53077, 50874, 52135, 50874, 51979, 50874, 55291, 50874, 51214, 50874, 51026, 61895, 50874, 60192, 63475, 50902, 52729, 53077, 51318, 52135, 51318, 51979, 51318, 55291, 51310, 51214, 51318, 51026, 51295, 50899, 51310, 50861, 51310, 50973, 51310, 50902, 51295, 50456, 53077, 50978, 52135, 50978, 52228, 50978, 55291, 52415, 50287, 72046, 64151, 58399, 62879, 59353, 50901, 50799, 55602, 51343, 51667, 51364, 52228, 51343, 56167, 51274, 51799, 51115, 51120, 51141, 50899, 51295, 50989, 51295, 50877, 51295, 50902, 57345, 55602, 50917, 51643, 50937, 52228, 50917, 56167, 52014, 50282, 51853, 50294, 60318, 66199, 57254, 58000, 51646, 53863, 51103, 52135, 51103, 52228, 51103, 55291, 51077, 51214, 51080, 51026, 51047, 50899, 51183, 72684, 50973, 50918, 53975, 63784, 51514, 50280, 51671, 51085, 51293, 50421, 51026, 54335, 53771, 51253, 51643, 51253, 51979, 51253, 55297, 51253, 50900, 78721, 53961, 51026, 54137, 53771, 51312, 51643, 51312, 51979, 51312, 55297, 51312, 50900, 63784, 53999, 51026, 58262, 53771, 51253, 51643, 51253, 51979, 51253, 55297, 51253, 50900, 78721, 54752, 51026, 50905, 79922, 51310, 51643, 51310, 51979, 51310, 55297, 51310, 50900, 63784, 51514, 50280, 51671, 51085, 51313, 50421, 51026, 50905, 53523, 78721, 53961, 53863, 50978, 51643, 50978, 52491, 50978, 55297, 51962, 50299, 54137, 53863, 51312, 51643, 51312, 52491, 51312, 55297, 51312, 50900, 63784, 53999, 51026, 50978, 55895, 78721, 54752, 51026, 50905, 53975, 63784, 51514, 50280, 51671, 51085, 51313, 50421, 51026, 54335, 53863, 51253, 51643, 51253, 52491, 51253, 55297, 51253, 50900, 78721, 53961, 51026, 54137, 53863, 51312, 51643, 51312, 52491, 51312, 55297, 51312, 50900, 63784, 53999, 51026, 58262, 53863, 51253, 51643, 51253, 52491, 51253, 55297, 51253, 50900, 78721, 54752, 51026, 50905, 77275, 51310, 51643, 51310, 52491, 51310, 55297, 51310, 50900, 63784, 51514, 50280, 51517, 50292, 50915, 50421, 51026, 50905, 53523, 78721, 53961, 53407, 50959, 51633, 50959, 51979, 50978, 55297, 51962, 50299, 60282, 53771, 50886, 51643, 53980, 53077, 51310, 52135, 51310, 51979, 51310, 55291, 51310, 51086, 66676, 59704, 51455, 50287, 76619, 51026, 58262, 51086, 52169, 50306, 64611, 54752, 51026, 50905, 53975, 63784, 51514, 50280, 51671, 51085, 51293, 50421, 51026, 54335, 53863, 51253, 51643, 51253, 52491, 51253, 55297, 51253, 50916, 64716, 53961, 50900, 54137, 54985, 51242, 51643, 51312, 51978, 51242, 55297, 51312, 50871, 58887, 53999, 53863, 51058, 52491, 77414, 64716, 58038, 53407, 51242, 51643, 51253, 52172, 51242, 55297, 51253, 50899, 64611, 54752, 53771, 51058, 51979, 77615, 62215, 50892, 77632, 51310, 52135, 51310, 51979, 51310, 55291, 51310, 51086, 66676, 51514, 50287, 51145, 50421, 51026, 50905, 53523, 78721, 53961, 53771, 50978, 51643, 50978, 51979, 50978 ]
[ 0, 250, 2635, 8, 19448, 19834, 2125, 14, 115, 28, 341, 11, 10, 822, 6, 4246, 10, 6755, 12547, 6, 2342, 4467, 6, 30062, 620, 7085, 12280, 642, 6, 1515, 21305, 6, 8, 23338, 33518, 1264, 4, 20, 6711, 16, 2933, 8, 15352, 30054, 6, 19, 5, 2214, 278, 11, 5, 762, 9, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 43531, 406, 6, 12608, 406, 6, 8, 2060, 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, 55929, 51080, 51366, 51417, 51065, 51025, 50416, 51209, 51218, 50417, 51590, 51377, 55057, 76131, 51412, 50427, 51334, 69397, 52419, 51080, 51334, 51749, 51065, 51411, 50439, 51924, 51417, 50441, 55420, 74190, 52700, 51203, 50843, 64088, 50892, 50460, 51065, 56603, 51229, 51749, 54079, 51447, 51334, 51535, 51065, 51411, 50415, 52004, 68106, 51893, 51255, 50843, 76131, 51363, 50436, 51256, 51480, 50437, 51229, 79891, 54128, 51314, 51934, 50981, 51065, 51480, 50448, 51256, 51484, 50449, 51229, 51534, 57702, 64088, 51212, 50451, 51390, 50981, 50460, 51065, 58449, 51209, 51244, 51590, 51627, 55929, 51314, 51065, 51109, 50415, 51924, 51562, 55057, 76131, 50838, 50436, 51065, 61360, 51590, 56509, 52419, 51447, 51334, 51448, 51065, 51411, 50440, 51924, 51448, 50450, 51229, 51412, 50843, 64088, 51212, 50461, 51366, 51097, 54079, 51080, 51256, 51535, 51065, 51025, 50416, 51229, 51627, 50426, 51322, 51233, 50843, 76131, 58952, 55655, 51423, 50436, 51065, 59701, 51912, 64488, 54128, 51244, 51256, 51244, 51065, 51480, 50441, 51674, 51448, 50443, 51934, 51310, 57702, 64088, 51480, 50454, 51756, 54529, 51756, 50833, 53715, 53801, 50460, 53748, 52147, 50461, 52650, 52147, 55929, 51477, 51065, 51363, 51925, 51080, 50415, 54029, 52440, 50416, 51756, 50833, 52566, 63510, 53260, 52407, 50417, 53039, 51878, 50418, 53436, 52407, 50420, 51756, 50878, 50425, 52721, 51591, 55057, 76131, 51242, 50436, 51065, 53980, 54128, 52407, 51065, 51534, 57702, 64088, 51337, 50453, 51756, 61076, 51756, 50800, 53715, 56329, 50459, 53748, 53486, 50460, 52650, 52212, 50461, 54029, 52440, 55929, 51749, 51065, 51363, 52566, 52440, 50415, 51756, 50833, 53260, 51703, 53039, 51447, 50416, 53436, 52407, 50419, 51756, 60988, 52213, 51103, 55057, 76131, 51412, 51925, 51477, 50438, 54128, 51749, 51065, 51412, 50446, 54227, 53794, 50843, 64088, 51242, 50453, 54227, 62474, 54227, 57651, 53715, 52980, 50460, 51065, 57995, 53748, 54829, 52650, 52212, 55929, 51535, 54227, 51101, 51065, 51423, 51925, 51244, 54029, 53801, 50415, 52566, 52440, 50416, 53260, 51447, 53039, 51447, 50418, 53436, 56458, 50420, 52721, 54300, 55057, 76131, 51233, 50436, 51065, 52896, 54128, 51878, 51065, 51363, 57702, 64088, 51412, 55929, 51749, 51065, 51412, 50422, 53715, 61653, 50423, 53748, 54573, 50424, 52650, 53866, 50425, 54029, 53866, 52566, 60237, 55057, 76131, 50905, 51925, 52015, 53260, 52916, 50427, 53039, 52916, 50428, 53436, 54829, 50436, 51065, 54728, 54128, 51080, 51065, 51534, 57702, 64088, 51363, 50453, 51756, 77044, 51756, 62371, 53715, 54573, 50459, 53748, 53866, 50460, 52650, 52916, 54029, 52783, 50461, 52566, 58468, 55929, 51562, 51756, 50942, 51065, 51363, 51925, 51314, 53260, 52783, 50415, 53039, 52980, 50416, 53436, 55586, 50419, 51756, 50925, 50424, 52213, 51591, 55057, 76131, 50892, 50436, 51065, 53980, 54128, 51448, 51065, 51172, 57702, 64088, 59354, 52721, 61076, 52721, 59342, 51065, 50837, 55929, 51417, 52721, 50910, 51065, 64965, 52721, 50830, 50424, 52387, 51103, 55057, 76131, 51411, 51925, 57937, 52419, 51127, 51065, 51480, 51925, 51108, 50447, 54227, 51212, 57702, 64088, 50905, 50454, 52387, 65737, 53472, 51703, 50459, 52387, 50897, 53118, 51490, 50460, 51065, 50825, 52890, 52407, 50461, 52566, 52598, 52697, 52407, 54079, 51562, 51065, 51534, 51925, 51330, 53000, 51878, 50415, 53436, 51965, 50416, 53647, 51283, 50417, 52387, 55428, 55057, 76131, 51775, 50438, 54128, 51562, 51065, 51775, 57702, 64088, 51277, 54079, 51562, 51065, 51775, 50419, 55228, 54171, 50421, 57215, 52431, 53472, 52916, 50422, 52650, 53588, 54029, 55490, 50424, 52697, 52528, 53000, 52140, 55057, 76131, 50892, 51925, 51380, 55554, 51677, 50436, 51065, 54077, 54128, 51127, 51065, 51534, 57702, 64088, 51412, 50454, 51760, 68627, 57215, 51922, 50459, 51912, 52431, 53472, 51922, 50460, 51322, 51662, 51760, 50833, 53118, 53142, 50461, 51256, 51677, 52890, 54171, 54079, 51359, 51229, 51692, 51065, 51412, 51925, 51380, 50415, 54029, 54171, 50416, 51760, 50812, 52697, 52062, 50417, 53000, 53142, 50418, 53436, 52140, 50421, 51760, 57499, 52840, 51127, 50843, 76131, 51242, 50436, 51065, 53945, 51065, 51172, 57702, 64088, 51534, 50453, 51971, 63181, 51971, 50821, 54079, 51939, 51971, 53521, 51534, 50420, 51971, 50938, 50421, 53715, 54573, 50423, 51322, 52015, 53472, 52783, 50424, 51256, 51803, 53118, 53486, 50425, 51756, 51103, 52890, 53486, 50426, 51229, 52168, 51334, 52015, 50843, 76131, 51242, 51925, 51419, 52566, 58468, 50427, 52697, 52168, 50428, 53000, 52168, 50429, 53436, 52015, 50436, 51065, 53945, 51065, 51412, 50448, 52861, 63589, 52419, 56944, 64088, 51337, 50456, 52419, 50987, 52213, 63303, 53472, 51878, 50459, 53118, 52598, 50460, 52890, 51080, 50461, 51322, 52140, 51256, 51422, 52213, 50942, 52566, 52407, 54079, 51562, 51229, 51662, 51065, 51337, 51925, 51637, 52697, 54532, 50415, 53000, 51878, 50416, 53436, 51878, 50417, 53647, 51535, 50419, 52213, 53380, 50420, 51565, 67078, 51606, 64999, 51789, 60567, 52161, 53425, 51596, 63185, 76131, 68766, 53767, 64759, 52900, 50886, 55228, 52916, 50436, 53958, 76131, 50864, 53472, 52168, 50437, 52849, 50862, 53118, 52168, 54029, 52528, 50438, 54128, 51218, 52614, 77659, 51363, 51925, 51965, 50439, 52697, 52783, 50440, 53000, 52168, 50441, 53436, 52980, 50444, 51565, 68577, 51606, 70832, 51789, 61230, 52161, 50841, 51596, 53363, 50450, 52494, 55185, 64088, 68464, 51493, 50955, 53767, 65841, 52900, 61764, 53958, 64088, 57995, 52849, 50862, 54079, 51145, 52614, 51264, 51065, 51363, 50420, 53297, 65944, 52367, 50810, 53472, 52048, 50423, 53598, 50855, 53118, 51466, 50424, 52171, 50839, 52890, 52056, 52697, 51738, 50425, 51256, 51775, 51229, 51025, 52433, 51121, 52566, 52378, 50426, 51334, 69168, 76131, 51534, 51925, 51576, 53000, 51108, 50427, 53436, 53674, 53647, 51542, 50432, 51686, 50914, 50434, 55228, 51447, 50436, 51256, 51145, 53472, 51080, 50437, 51229, 51314, 53118, 52407, 52650, 54532, 50438, 54128, 51312, 51590, 51562, 51065, 51412, 51925, 51637, 54029, 51627, 50439, 52697, 51627, 50440, 53039, 53280, 50444, 53297, 68527, 52367, 71303, 53598, 61216, 52171, 53886, 54128, 50866, 52433, 51158, 50843, 64088, 50974, 50454, 54091, 57313, 54128, 50873, 51686, 51238, 50458, 54227, 80026, 51322, 51749, 51065, 60863, 51256, 51535, 53472, 52598, 53118, 54532, 54079, 51448, 51229, 51397, 51334, 51562, 52861, 61273, 51363, 51925, 51108, 52566, 52407, 52890, 52598, 50415, 53000, 51627, 50416, 53436, 51878, 50419, 52387, 52871, 51565, 60853, 51606, 65145, 52387, 51790, 51789, 61823, 52161, 50890, 51596, 51218, 55057, 76131, 51412, 50432, 53767, 64759, 52900, 50886, 55228, 51108, 50436, 53958, 50855, 53472, 52980, 50437, 51322, 51749, 51256, 51535, 52849, 50855, 53118, 52783, 52890, 53486, 50438, 54128, 51115, 51229, 51627, 51590, 51310, 52614, 62550, 51172, 51925, 51637, 50439, 54029, 51680, 50440, 53000, 52168, 50444, 51565, 64127, 51606, 64457, 51789, 58560, 52161, 55268, 51596, 52382, 52494, 55185, 64088, 51242, 50453, 54091, 54424, 51493, 50978, 53767, 77044, 54227, 70143, 52900, 63298, 53958, 64088, 60863, 52861, 50910, 52849, 50862, 54079, 51145, 52614, 51264, 51065, 51534, 50418, 52387, 60724, 53297, 50917, 50422, 53472, 51333, 50423, 52367, 50854, 53118, 51466 ]
[ 0, 250, 2635, 12, 20764, 5175, 15229, 11, 230, 538, 6, 4246, 10, 5679, 26709, 8, 19448, 5466, 6, 14156, 19601, 30, 10, 11602, 9, 15073, 8, 10, 25306, 1318, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 1844, 23225, 9, 5, 17465, 102, 6, 5, 364, 38537, 2621, 9, 38668, 22052, 6, 5, 36788, 22293, 9, 5, 21979, 9590, 6, 8, 5, 12405, 32618, 9, 5, 21072, 4, 20, 2125, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 14, 1171, 272, 6, 272, 12361, 6, 3676, 6, 272, 406, 6, 8, 230, 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 ]	[ 57128, 50916, 51226, 77448, 51026, 51274, 50900, 51274, 51461, 51221, 50427, 51461, 51178, 50430, 51378, 50821, 50989, 62887, 51026, 79279, 53294, 50965, 51226, 51176, 51226, 50916, 51226, 50900, 51285, 51461, 68031, 51461, 51178, 50454, 51026, 50921, 50861, 65372, 51176, 77701, 50880, 56310, 51226, 50916, 51226, 50877, 51274, 50900, 51285, 51461, 76186, 51461, 51178, 50430, 50997, 50821, 50906, 62500, 50877, 50883, 51027, 54459, 50965, 51226, 51176, 51274, 50900, 51285, 50916, 51285, 51461, 51221, 50451, 51461, 51178, 50454, 50877, 50921, 51027, 50936, 50458, 51176, 50883, 50965, 50880, 54955, 52500, 50900, 51469, 50916, 51469, 50861, 51469, 50415, 51461, 51178, 50427, 51461, 51221, 50430, 52233, 64160, 52016, 58866, 52091, 51178, 50439, 51461, 51121, 50446, 52233, 51675, 50450, 51461, 51178, 50454, 51378, 50921, 50457, 51026, 62959, 50900, 51469, 50916, 51469, 58526, 52500, 51461, 76186, 51461, 51221, 50429, 52233, 50937, 50433, 52016, 58020, 51461, 51178, 52091, 51178, 50446, 52233, 51675, 50450, 51461, 51178, 50454, 51026, 61981, 51176, 50821, 56310, 52500, 50900, 52500, 50916, 52500, 51461, 76186, 51461, 51178, 50430, 52233, 78344, 52016, 58866, 52091, 51121, 50439, 51461, 51121, 50445, 52233, 73324, 51461, 51121, 50458, 52016, 50925, 53997, 52536, 51461, 51178, 50415, 50997, 52500, 50899, 52500, 50916, 52500, 52091, 51359, 50426, 51461, 51178, 50438, 51461, 64860, 51461, 51121, 53997, 52536, 51140, 51178, 50415, 51027, 52500, 50900, 52500, 50427, 51140, 51121, 50430, 51821, 64160, 51678, 58020, 51140, 51121, 51701, 51121, 50446, 51821, 51675, 50450, 51140, 51121, 50453, 51324, 50940, 50457, 51085, 50948, 57497, 52536, 51027, 52500, 51040, 52500, 51140, 75262, 51140, 51121, 50429, 51821, 78344, 51678, 58866, 51140, 51121, 51701, 51121, 50446, 51821, 51675, 50450, 51140, 51178, 50454, 51085, 71208, 51360, 50940, 54206, 52500, 51027, 52500, 51120, 51696, 51140, 51178, 50427, 51140, 51178, 50430, 51821, 78344, 51678, 50925, 50439, 51140, 50873, 51701, 51121, 50446, 51821, 65504, 51140, 51121, 50454, 51678, 74304, 51705, 51377, 54594, 51192, 51027, 51167, 50956, 51167, 50989, 51167, 51701, 51359, 50426, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 51705, 58511, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 61426, 51705, 59076, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 51705, 62586, 50956, 60281, 51966, 50895, 51197, 50895, 51027, 50883, 51705, 66085, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 55757, 51705, 53041, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 50883, 51705, 61762, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 72199, 50883, 51705, 70834, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 72199, 50883, 51705, 52881, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 51705, 60734, 50989, 72199, 59363, 75113, 54197, 51696, 50899, 51469, 51086, 51469, 50426, 51140, 50841, 51098, 51221, 52252, 71162, 63221, 52072, 50937, 57280, 51178, 50439, 52252, 56508, 51098, 51221, 50451, 51678, 68911, 50827, 54389, 51417, 51701, 68076, 51279, 52545, 50299, 51936, 50301, 51167, 51040, 51167, 50871, 60467, 64520, 51279, 51175, 50437, 51026, 51175, 51216, 51178, 63809, 51192, 51040, 51192, 50956, 66070, 51026, 52545, 50289, 51936, 50301, 75962, 59368, 80224, 51121, 61695, 50827, 53975, 52500, 50916, 52500, 50877, 52500, 51120, 52536, 51273, 75262, 51273, 51178, 51701, 71162, 53720, 52398, 51121, 68005, 50873, 50442, 51701, 56508, 51273, 51178, 61695, 65241, 52016, 50925, 54795, 51175, 51026, 51175, 51027, 51196, 50916, 51585, 51098, 51178, 50415, 52091, 68076, 51098, 67300, 62763, 51026, 51661, 51214, 51661, 62322, 50896, 50439, 51098, 51178, 56222, 50921, 51214, 51227, 51026, 51290, 51678, 50925, 50451, 51098, 62806, 65415, 50916, 50921, 52091, 50925, 50457, 50956, 61981, 52606, 76888, 50899, 52500, 50997, 52500, 51461, 51178, 53997, 52536, 52016, 78797, 51461, 62806, 64755, 51678, 79939, 52582, 58020, 51461, 51121, 51678, 51178, 50446, 52233, 79961, 51461, 50873, 61695, 61243, 51085, 52536, 56310, 51274, 50900, 51274, 51140, 51121, 50421, 51678, 50925, 50425, 52582, 63559, 51140, 51121, 52470, 50432, 51678, 50943, 50437, 51176, 51274, 50900, 51274, 60116, 51178, 50449, 51140, 51121, 52233, 51121, 52320, 54232, 52016, 50925, 50460, 52091, 51377, 50461, 51085, 51175, 51026, 51175, 51150, 51221, 53975, 51192, 50916, 51167, 78091, 51192, 51261, 51221, 51821, 57908, 51234, 51936, 50299, 51173, 50871, 51192, 52470, 50436, 51279, 51356, 51026, 51356, 50437, 51216, 71161, 51086, 51274, 51040, 51274, 50861, 51274, 51678, 51218, 52320, 59972, 50877, 50883, 51701, 59700, 51389, 51377, 56310, 50896, 55500, 50943, 53523, 50936, 51389, 51121, 52233, 51121, 52470, 77095, 52545, 50294, 51936, 50298, 55214, 51027, 50896, 52016, 51218, 50433, 50899, 50896, 50436, 51214, 51356, 51050, 51356, 50437, 51098, 51221, 50449, 51098, 51221, 52320, 62970, 50916, 72115, 64526, 50989, 52236, 50307, 61981, 50899, 50883, 50871, 62959, 51026, 51585, 50916, 51469, 56310, 50883, 50900, 51585, 51461, 51221, 54552, 51605, 53994, 52437, 51461, 71162, 54889, 52233, 79939, 52016, 63023, 52470, 50437, 52091, 51221, 50438, 51461, 71162, 63107, 52233, 79961, 51026, 50921, 52470, 50451, 51461, 51121, 50454, 51378, 50821, 58502, 57459, 51026, 50883, 54552, 51421, 50825, 58526, 52500, 50900, 52500, 50916, 52500, 51461, 51121, 56380, 51605, 52470, 50425, 51461, 51178, 51544, 60394, 52233, 64160, 52016, 50937, 79788, 51461, 51178, 52091, 51178, 52470, 50447, 52233, 51241, 50449, 51461, 51221, 52320, 57186, 54552, 60278, 51026, 67758, 56380, 56388, 51176, 50880, 79651, 55679, 51036, 53975, 52500, 50916, 52500, 51027, 52500, 51461, 51221, 55239, 51468, 50427, 51461, 51178, 50431, 52233, 64160, 67491, 52016, 58866, 51461, 51178, 50439, 52091, 50925, 51468, 50443, 52233, 73324, 51461, 51121, 50451, 51468, 50458, 52016, 66376, 79651, 51315, 51696, 51461, 51178, 53975, 59368, 72967, 51160, 52091, 51359, 55005, 67481, 79967, 51461, 51178, 60564, 71360, 50883, 50968, 59485, 51468, 50430, 50906, 71360, 50883, 50968, 65109, 50906, 51041, 56446, 50876, 50883, 50968, 60281, 50877, 71360, 76777, 51356, 50997, 51356, 50900, 51356, 51461, 51221, 50438, 50968, 51041, 64524, 50877, 71360, 50883, 50968, 60797, 50877, 71360, 50883, 50968, 51041, 58914, 51461, 50937, 50903, 53996, 50861, 50883, 50906, 50883, 50968, 61807, 50861, 50883, 50906, 50883, 50968, 50883, 51273, 65737, 50861, 50883, 50906, 50883, 50968, 50883, 51493, 50855, 52470, 53202, 51221, 55679, 51036, 52470, 50415, 51085, 51941, 50900, 52500, 51027, 52500, 50422, 52470, 50427, 51140, 51178, 50903, 61924, 51821, 50937, 51361, 53439, 51678, 72538, 52470, 50439, 51140, 51121, 51701, 51121, 50446, 51821, 50943, 50448, 51468, 50449, 50903, 53996, 51085, 50940, 51140, 51121, 50454, 51324, 50940, 50457, 51468, 50458, 51085, 65706, 51027, 52500, 51040, 52500, 50871, 52500, 55679, 51036, 51468, 57497, 52536, 51140, 51178, 50423, 55239, 51140, 51221, 71750, 60394, 51821, 79939, 51678, 72426, 57974, 51140, 51178, 51701, 51178, 50439, 51468, 50445, 51821, 51221, 50447, 55723, 51140, 51221, 70773, 62564, 51085, 71208, 51360, 50940, 79651, 50899, 52500 ]
[ 0, 250, 19448, 8, 5679, 26709, 25771, 5175, 2125, 6, 4246, 5, 15651, 3222, 5785, 9, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 9590, 3863, 6, 17691, 28430, 6, 8, 17465, 8244, 22778, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 30853, 23, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 1472, 9, 3722, 5581, 8, 7125, 4, 20, 40286, 163, 119, 6, 163, 406, 6, 8, 163, 119, 406, 428, 245, 1606, 7, 5, 22845, 41805, 5466, 9, 42, 13363, 28191, 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 ]	[ 56103, 56074, 50807, 50655, 50345, 79364, 50918, 52371, 75361, 51249, 52910, 51414, 50807, 56074, 50914, 50655, 50345, 56217, 51249, 51646, 56074, 50915, 50655, 50345, 50915, 51410, 56027, 51249, 52728, 51414, 50807, 56074, 50995, 50655, 50345, 58843, 51249, 50795, 50799, 52287, 50807, 64746, 79364, 54994, 51249, 52910, 74460, 52287, 50914, 64746, 56217, 51249, 51646, 52287, 50915, 64746, 50915, 51410, 56027, 51249, 52728, 74460, 52287, 50995, 64746, 58843, 51249, 50795, 50799, 53927, 50807, 50655, 50339, 79364, 54994, 51249, 52910, 51457, 50807, 53927, 50914, 50655, 50339, 56217, 51249, 51646, 53927, 50915, 50655, 50339, 50915, 51410, 56027, 51249, 52728, 51457, 50807, 53927, 50995, 50655, 50339, 58843, 51249, 50795, 50799, 51825, 50807, 56074, 79364, 54994, 51249, 52910, 51672, 50807, 51825, 50914, 56074, 56217, 51249, 51646, 51825, 50915, 56074, 50915, 51410, 56027, 51249, 52728, 51672, 50807, 51825, 50995, 56074, 58843, 51249, 50795, 50799, 56074, 50807, 50655, 50345, 79364, 50918, 52123, 51492, 52123, 51492, 51783, 51492, 51783, 51492, 51584, 51492, 51584, 51492, 51567, 51492, 51567, 51492, 52371, 75361, 51249, 52910, 51414, 50807, 56074, 50914, 50655, 50345, 56217, 51249, 51646, 56074, 50915, 50655, 50345, 50915, 51410, 56027, 51249, 52728, 51414, 50807, 56074, 50995, 50655, 50345, 58843, 51249, 50795, 50799, 52287, 50807, 64746, 79364, 54994, 51249, 52910, 74460, 52287, 50914, 64746, 56217, 51249, 51646, 52287, 50915, 64746, 50915, 51410, 56027, 51249, 52728, 74460, 52287, 50995, 64746, 58843, 51249, 50795, 50799, 53927, 50807, 50655, 50339, 79364, 54994, 51249, 52910, 51457, 50807, 53927, 50914, 50655, 50339, 56217, 51249, 51646, 53927, 50915, 50655, 50339, 50915, 51410, 56027, 51249, 52728, 51457, 50807, 53927, 50995, 50655, 50339, 58843, 51249, 50795, 50799, 51825, 50807, 56074, 79364, 54994, 51249, 52910, 51672, 50807, 51825, 50914, 56074, 56217, 51249, 51646, 51825, 50915, 56074, 50915, 51410, 56027, 51249, 52728, 51672, 50807, 51825, 50995, 56074, 58843, 51249, 50795, 61357, 50918, 53472, 50795, 52371, 51492, 52515, 50795, 52515, 55728, 54723, 58879, 72106, 53748, 50795, 51950, 50795, 51950, 53471, 54723, 54335, 51414, 50807, 53118, 50795, 51802, 50795, 51802, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 51950, 50795, 51950, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 52515, 50807, 52515, 58627, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51414, 50807, 53000, 50795, 52857, 50807, 52857, 58031, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 61357, 50918, 53472, 50795, 54063, 52045, 54063, 52045, 50417, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 74460, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 74460, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 50795, 54668, 54093, 54723, 50974, 61357, 50918, 53472, 50795, 53060, 50795, 53060, 55728, 54723, 58879, 72106, 53748, 50795, 53157, 50795, 53157, 53471, 54723, 54335, 51457, 50807, 53118, 50795, 54670, 50795, 54670, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 53013, 50795, 53013, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 55465, 50795, 55465, 54789, 54723, 55322, 72106, 53260, 50795, 53013, 50795, 53013, 53658, 54723, 53794, 51457, 50807, 53000, 50795, 54670, 50795, 54670, 55000, 54723, 52961, 51249, 50795, 53436, 50795, 53013, 51605, 53013, 51605, 50459, 54723, 50795, 61357, 50918, 53472, 55728, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 51672, 50807, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 51672, 50807, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 54093, 54723, 50874, 61357, 50918, 53472, 50795, 52371, 51492, 52515, 50795, 52515, 55728, 54723, 58879, 72106, 53748, 50795, 51950, 50795, 51950, 53471, 54723, 54335, 51414, 50807, 53118, 50795, 51802, 50795, 51802, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 51950, 50795, 51950, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 52515, 50807, 52515, 58627, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51414, 50807, 53000, 50795, 52857, 50807, 52857, 58031, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 61357, 50918, 53472, 50795, 54063, 52045, 54063, 52045, 50417, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 74460, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 74460, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 50795, 54668, 54093, 54723, 50974, 61357, 50918, 53472, 50795, 53060, 50795, 53060, 55728, 54723, 58879, 72106, 53748, 50795, 53157, 50795, 53157, 53471, 54723, 54335, 51457, 50807, 53118, 50795, 54670, 50795, 54670, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 53013, 50795, 53013, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 55465, 50795, 55465, 54789, 54723, 55322, 72106, 53260, 50795, 53013, 50795, 53013, 53658, 54723, 53794, 51457, 50807, 53000, 50795, 54670, 50795, 54670, 55000, 54723, 52961, 51249, 50795, 53436, 50795, 55465, 50795, 55465, 54093, 54723, 50795, 61357, 50918, 53472, 50795, 53013, 51036, 53013, 64163, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 51672, 50807, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 51672, 50807, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 54093, 54723, 50874, 50799, 56074, 50807, 50655, 50345, 79364, 50918, 53472, 50795, 52371, 51492, 50417, 54723, 58879, 72106, 53748, 53471, 54723, 54335, 51414, 50807, 56074, 50914, 50655, 50345, 50914, 53118, 54253, 54723, 54100, 51249, 50795, 52890, 53505, 54723, 53264, 56074, 50915, 50655, 50345, 50915, 51410, 50918, 52697, 54789, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51414, 50807, 56074, 50995, 50655, 50345, 50995, 53000, 55000, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 50799, 52287, 50807, 64746, 79364, 50918, 53472, 55728, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 74460, 52287, 50914, 64746, 50914, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 52287, 50915, 64746, 50915, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 74460, 52287, 50995, 64746, 50995, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 54093, 54723, 50974, 50799, 53927, 50807, 50655, 50339, 79364, 50918, 53472, 55728, 54723, 58879, 72106, 53748, 53471, 54723, 54335, 51457, 50807, 53927, 50914, 50655, 50339, 50914, 53118, 54253, 54723, 54100, 51249, 50795, 52890, 53505, 54723, 53264, 53927, 50915, 50655, 50339, 50915, 51410, 50918, 52697, 54789, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51457, 50807, 53927, 50995, 50655, 50339, 50995, 53000, 55000, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 50799, 51825, 50807, 56074, 79364, 50918, 53472, 55728, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 51672, 50807, 51825, 50914, 56074, 50914, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51825, 50915, 56074, 50915, 51410, 50918, 52697, 54789, 54723, 53999, 72106 ]
[ 0, 4688, 14073, 5175, 2214, 19, 10, 2933, 8, 15352, 30054, 5466, 6, 4246, 10, 16224, 1097, 483, 6, 81, 9756, 8669, 6, 38668, 483, 6, 8, 21072, 4, 8504, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 22690, 10, 33215, 13931, 9, 272, 401, 6, 274, 10431, 6, 381, 406, 6, 3676, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50798, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55462, 51835, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 51736, 55462, 52262, 55668, 64772, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55668, 57465, 51068, 55000, 55462, 51754, 55462, 52567, 55668, 50800, 51528, 56252, 55462, 50795, 61240, 52115, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 56919, 51068, 54253, 55668, 51628, 55462, 73684, 56252, 61042, 50795, 60669, 51918, 50798, 56252, 57210, 59513, 50798, 51798, 51068, 58717, 56750, 50328, 57465, 51068, 55000, 55668, 51754, 55462, 50795, 51528, 56252, 55462, 56025, 50798, 55728, 55462, 52115, 50798, 56252, 50421, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 53505, 53354, 64772, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55668, 51835, 50798, 56252, 55668, 60751, 50798, 51631, 51068, 58717, 50795, 55668, 61156, 51068, 51736, 53354, 52262, 53929, 64772, 56252, 53354, 55900, 50798, 54789, 53283, 51820, 50798, 56252, 53907, 59070, 50798, 53658, 53907, 59323, 51068, 58717, 60720, 51068, 51923, 53929, 52567, 55668, 50800, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55462, 51835, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 51736, 55462, 73684, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55668, 57465, 51068, 55000, 55462, 51754, 55462, 52567, 55668, 50800, 51528, 56252, 55462, 50795, 61240, 52115, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 56919, 51068, 54253, 55462, 53505, 55462, 64772, 56252, 61042, 50795, 60669, 51918, 50798, 56252, 57210, 59513, 50798, 51798, 51068, 58717, 56750, 50328, 57465, 51068, 55000, 53929, 51754, 55668, 50795, 51528, 56252, 55462, 56025, 50798, 55728, 55462, 52115, 50798, 56252, 50421, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 53505, 53907, 64772, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55668, 51835, 50798, 56252, 55668, 60751, 50798, 51631, 51068, 58717, 50795, 55668, 56919, 51068, 54253, 55668, 51628, 53354, 52262, 53929, 64772, 56252, 53354, 55900, 50798, 54789, 53283, 51820, 50798, 56252, 53907, 59070, 50798, 53658, 53907, 59323, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55462, 51835, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 51736, 55462, 73684, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55668, 57465, 51068, 55000, 55462, 51754, 55462, 52567, 55668, 50800, 51528, 56252, 55462, 50795, 61240, 52115, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 56919, 51068, 54253, 55668, 51628, 55462, 73684, 56252, 61042, 50795, 60669, 51918, 50798, 56252, 57210, 59513, 50798, 51798, 51068, 58717, 56750, 50328, 57465, 51068, 55000, 53929, 51754, 55668, 50795, 51528, 56252, 55462, 56025, 50798, 55728, 55462, 52115, 50798, 56252, 50421, 50798, 53471, 55462, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 73684, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 51923, 55668, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55668, 51835, 50798, 56252, 55668, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55668, 56919, 51068, 54253, 55668, 51628, 53354, 52262, 53929, 64772, 56252, 53354, 55900, 50798, 54789, 53283, 51820, 50798, 56252, 53907, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115 ]
[ 0, 250, 2635, 12, 20764, 15855, 2125, 19, 25771, 4785, 6, 4246, 10, 20535, 2810, 9, 32909, 6, 326, 5638, 18026, 6, 8, 1515, 21305, 6, 14156, 19601, 30, 10, 3152, 6757, 8, 32625, 2236, 1021, 2678, 29, 4, 20, 15229, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 20455, 9, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 12608, 6, 12608, 119, 6, 3676, 6, 230, 119, 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 ]	[ 57448, 51579, 51108, 51836, 51108, 54012, 51108, 51866, 51108, 54664, 51080, 60915, 62666, 52067, 50972, 51836, 50972, 54012, 50972, 52148, 55378, 51579, 50972, 51836, 50972, 54012, 50972, 51866, 54938, 51509, 51108, 51946, 51314, 53339, 51314, 53508, 51283, 57953, 77069, 51579, 57092, 51509, 50972, 53508, 50838, 57953, 50838, 67659, 50972, 51836, 50972, 51946, 51314, 54664, 51283, 60915, 72108, 51485, 55191, 51431, 55378, 51485, 50972, 53508, 50838, 57953, 52718, 51431, 51108, 53064, 51314, 51946, 51314, 54664, 51080, 60915, 66405, 51431, 57092, 51485, 50972, 67719, 51108, 51946, 51314, 52032, 51314, 54198, 51283, 55151, 75850, 51485, 55378, 51431, 50972, 54198, 50838, 55151, 52718, 51431, 51108, 51946, 51108, 52032, 51108, 54198, 51080, 55151, 66405, 51579, 51108, 52032, 51108, 53343, 51108, 51866, 51108, 63355, 51314, 52695, 51108, 52541, 51108, 55356, 51283, 61290, 75850, 52695, 51108, 52541, 64809, 54198, 50838, 55356, 52718, 52695, 51108, 52541, 51108, 55356, 51080, 61290, 66405, 51431, 50972, 52695, 51108, 52541, 63190, 51431, 50972, 50799, 52298, 51108, 52695, 51108, 52541, 51108, 55356, 51283, 57953, 75850, 51641, 51108, 52541, 51108, 53339, 64809, 54198, 50838, 55356, 52718, 52264, 51108, 53339, 51108, 53343, 51108, 52377, 51108, 55356, 51283, 57953, 77069, 51579, 50972, 53339, 50972, 53343, 50972, 51866, 57092, 52264, 50972, 52541, 50972, 55356, 50838, 57953, 50838, 50799, 52067, 51108, 51836, 51108, 54012, 51108, 52148, 51108, 54289, 51283, 54664, 75850, 51744, 51108, 52196, 51108, 51836, 64809, 54330, 50838, 54289, 52718, 51431, 51108, 53064, 51108, 52196, 51108, 54289, 51080, 54664, 66405, 51898, 50972, 52338, 51108, 53064, 63190, 51898, 50972, 50799, 52211, 50972, 51996, 50972, 52338, 51314, 53394, 51080, 55356, 62557, 52039, 55191, 52334, 55378, 52039, 54938, 52211, 51108, 54541, 51108, 51996, 51108, 59254, 50932, 57971, 54980, 52039, 50972, 56117, 51108, 52665, 51108, 53508, 50932, 57953, 56109, 52039, 50972, 63355, 52140, 53064, 51108, 51946, 51108, 54664, 50932, 61668, 54869, 53064, 51108, 51946, 51108, 53508, 51172, 59246, 51172, 50435, 54330, 50827, 60915, 52788, 53064, 51108, 51946, 51108, 53482, 50932, 54664, 54980, 53064, 50972, 51946, 50972, 57049, 50972, 53482, 50838, 53508, 53581, 53064, 50972, 51946, 50972, 57049, 50972, 53482, 50838, 53508, 50838, 50799, 51996, 51314, 52541, 51314, 73041, 50972, 53394, 51283, 55356, 72108, 57049, 55191, 75798, 55378, 57049, 50972, 53394, 50838, 55356, 52718, 53064, 51108, 52541, 51108, 73041, 50972, 57953, 51080, 60915, 63323, 61962, 55437, 52541, 51108, 53339, 51108, 61962, 57092, 50754, 50324, 50972, 50799, 53151, 51314, 58302, 51314, 72353, 50972, 53394, 51283, 55356, 72108, 66296, 55191, 70033, 55378, 66296, 50972, 53394, 50838, 55356, 52718, 54012, 51108, 58302, 51108, 72353, 50851, 57953, 51080, 60915, 79869, 72353, 54478, 72353, 55437, 54012, 51108, 58302, 51108, 72353, 57092, 66296, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 54330, 51080, 60915, 63323, 54012, 51637, 58302, 51637, 66759, 55437, 66759, 57092, 72353, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 53064, 51108, 51946, 51108, 53508, 50932, 54664, 54980, 53064, 51108, 51946, 51108, 57049, 50972, 53482, 50932, 53508, 56109, 57049, 50972, 50799, 51996, 51314, 52541, 51314, 73041, 50972, 53394, 51283, 55356, 72108, 57049, 55191, 75798, 55378, 57049, 50972, 53394, 50838, 55356, 52718, 53064, 51108, 52541, 51108, 73041, 50972, 57953, 51080, 60915, 63323, 61962, 55437, 52541, 51108, 53339, 51108, 61962, 57092, 50754, 50324, 50972, 50799, 53151, 51314, 58302, 51314, 72353, 50972, 53394, 51283, 55356, 72108, 66296, 55191, 70033, 55378, 66296, 50972, 53394, 50838, 55356, 52718, 54012, 51108, 58302, 51108, 72353, 50972, 57953, 51080, 60915, 63323, 72353, 55437, 54012, 51108, 58302, 51108, 72353, 57092, 66296, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 55356, 51080, 60915, 63323, 54012, 51637, 58302, 51637, 66759, 55437, 66759, 57092, 72353, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 53064, 51108, 51946, 51108, 53508, 50932, 54664, 54980, 53064, 51108, 51946, 51108, 53482, 50932, 53508, 50932, 50799, 53151, 51108, 56065, 51108, 55199, 51108, 52194, 51108, 53394, 54869, 53151, 50972, 56065, 50972, 55873, 50972, 52488, 50972, 53394, 55665, 51836, 50972, 55199, 54938, 54012, 51108, 53883, 51108, 54876, 51108, 52178, 51108, 54664, 53624, 54664, 54980, 54012, 50972, 53883, 50972, 55199, 50972, 52194, 57092, 52032, 50972, 54876, 50972, 54664, 50838, 50799, 53151, 50972, 51836, 51108, 54030, 50972, 52148, 51108, 53394, 57410, 53807, 55191, 51836, 51108, 53775, 50972, 52148, 51108, 53394, 55665, 53807, 54938, 52196, 51108, 51836, 51108, 53775, 51108, 53394, 54980, 52196, 50972, 51836, 50972, 53775, 50972, 53394, 53581, 52196, 50972, 51836, 50972, 53807, 50972, 53394, 50838, 50799, 51836, 51108, 53343, 51108, 56817, 51108, 52377, 51108, 55356, 62666, 52541, 51108, 51836, 51108, 53807, 55378, 53775, 54938, 52541, 51108, 51836, 51108, 53775, 51108, 55356, 53624, 55356, 54980, 53343, 51108, 58302, 51108, 55199, 51108, 52194, 63190, 55356, 50838, 50799, 52541, 51108, 53916, 51108, 53775, 51314, 59254, 54869, 52541, 51108, 53916, 51108, 59254, 54498, 52541, 51108, 53916, 51108, 59254, 54980, 52541, 50972, 53916, 50972, 53775, 50972, 59254, 53581, 52541, 50972, 53916, 50972, 53775, 50972, 59254, 50838, 50799, 52541, 51108, 53916, 51108, 54173, 51108, 59254, 75850, 53916, 51108, 54012, 51108, 56817, 51108, 52377, 64809, 55356, 52718, 54012, 51108, 58302, 51108, 58358, 51108, 54006, 51108, 59254, 77069, 54012, 50972, 58302, 50972, 55199, 50972, 52194, 57092, 53916, 50972, 58358, 50972, 59254, 50838, 50799, 53151, 51108, 56065, 51108, 55873, 51108, 52488, 51108, 54931, 75850, 52601, 51108, 53151, 51108, 54030, 51108, 52148, 64809, 54289, 52718, 52196, 51108, 52601, 51108, 53775, 51108, 54931, 66405, 51996, 51108, 52196, 51108, 53136, 57092, 53136, 50972, 50799, 52032, 50972, 51996, 51314, 55862, 50972, 57953, 62557, 53091, 55191, 54142, 55378, 53091, 54938, 53780, 51108, 52032, 51108, 55862, 51108, 55160, 54980, 53064, 51108, 51946, 51108, 53091, 50972, 54664, 56109, 53091, 50972, 50799, 52196, 51108, 51836, 51108, 53775, 52140, 51702, 51108, 53394, 54869, 52196, 51108, 51836, 51108, 51702, 51108, 54664, 51172, 50435, 54289, 52788, 52196, 51314, 51836, 51314, 51702, 51314, 53394, 51080, 50799, 53873, 52026, 50292, 51592, 50417, 51026, 51592, 56440, 51680, 50426, 53132, 55378, 53132, 54938, 53132, 58959, 53686, 50851, 51946, 51108, 53339, 52026, 50287, 51517, 50291, 51517, 50294, 51333, 50453, 53274, 54622, 52888, 56573, 53686, 50851, 50799, 53274, 51449, 51946, 51449, 51836, 51449, 51085, 51283, 51315, 51283, 52206, 51490, 50420, 51866, 50851, 51026, 53591, 51866, 50851, 51026, 52580, 52194, 69476, 53052, 53572, 69476, 62215, 62215, 52718, 53459, 51314, 51085, 51490, 51026, 77132, 67835, 51080, 50799, 53873, 50972, 51946, 51637, 52046, 51490, 51197, 51080, 51026, 51080, 50997, 62557, 54669, 55191, 53391, 55378, 53132, 54938, 53391, 51853, 50278, 51490, 51234, 79869, 51027 ]
[ 0, 250, 15855, 8, 19834, 12, 5827, 15229, 14, 7630, 6568, 10, 25306, 5466, 6, 19, 9066, 8, 2933, 223, 34693, 4, 20, 2635, 20889, 8, 5425, 112, 73, 306, 86, 6543, 1045, 10, 1472, 9, 8556, 6, 150, 5, 6168, 3540, 6, 6755, 12547, 6, 9590, 3863, 6, 33704, 5675, 22052, 6, 8, 17465, 8244, 22778, 35810, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 230, 10431, 119, 406, 6, 274, 10431, 119, 6, 8, 274, 10431, 401, 6, 1271, 7, 63, 29475, 8, 12754, 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 ]	[ 52552, 50622, 77988, 50807, 53599, 50807, 50665, 50305, 61839, 77988, 50807, 50799, 61616, 51358, 50695, 50286, 51036, 63875, 51605, 53148, 51358, 53148, 51036, 74855, 50807, 50665, 50310, 51358, 50832, 54925, 61616, 51358, 63875, 51605, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 74855, 55672, 50434, 74855, 58024, 74855, 52565, 74855, 58109, 52210, 77988, 50795, 53599, 59513, 77988, 51798, 54019, 50795, 51883, 60720, 54019, 51923, 52882, 50795, 60767, 67755, 61393, 52882, 50795, 60767, 50795, 50799, 52494, 51161, 50695, 50291, 51036, 50721, 50286, 50918, 51251, 51161, 52065, 51036, 50767, 50291, 51091, 50665, 50306, 51358, 50832, 54925, 52494, 51161, 50721, 50286, 54994, 50832, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 50767, 50291, 55672, 50434, 50767, 50291, 58024, 50767, 50291, 52565, 50767, 50291, 51048, 50832, 56484, 50832, 59797, 50832, 50818, 52260, 50818, 56568, 58431, 50832, 52210, 50721, 50284, 54397, 58500, 50721, 50284, 54397, 57000, 50832, 50818, 52283, 50818, 57730, 57868, 50832, 52396, 54568, 50795, 50721, 50286, 79819, 54397, 56086, 54568, 50795, 50721, 50286, 51923, 54577, 50795, 60767, 50795, 52065, 61393, 54577, 50795, 60767, 50795, 50799, 54568, 50983, 50695, 50286, 51036, 63875, 51358, 51794, 50983, 53148, 51036, 74855, 50807, 50665, 50310, 51358, 50832, 54925, 54568, 50983, 63875, 51358, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 54577, 50795, 52065, 50795, 74855, 55672, 50433, 54577, 57775, 74855, 58024, 74855, 52565, 54019, 50807, 51883, 50807, 74855, 58109, 56484, 54019, 53218, 63392, 59513, 63392, 51798, 55872, 50795, 60337, 50795, 52316, 60720, 55872, 50795, 60337, 51923, 61616, 50795, 57184, 50795, 53148, 61393, 61616, 50795, 57184, 50795, 50799, 55872, 51161, 50695, 50293, 51036, 58391, 50983, 52316, 51161, 51794, 51036, 50767, 50293, 51091, 50665, 50305, 51358, 50832, 54925, 55872, 51161, 58391, 50983, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 57184, 50809, 50767, 50293, 55672, 50433, 57184, 57307, 58391, 50809, 50767, 50293, 53593, 58391, 59079, 57184, 50809, 50767, 50293, 56359, 57184, 52444, 60337, 50967, 50767, 50293, 51060, 50832, 56484, 60337, 61175, 59797, 50832, 50818, 52260, 50818, 56568, 58431, 50832, 52210, 50832, 58500, 50832, 57000, 50832, 50818, 52283, 50818, 57730, 57868, 50832, 52396, 77988, 50807, 50721, 50286, 50795, 53599, 58109, 56086, 77988, 50807, 50721, 50286, 51923, 60767, 61393, 60767, 50795, 50799, 61616, 50983, 50695, 50286, 51036, 63875, 50918, 53148, 50983, 53148, 51036, 74855, 50807, 50665, 50310, 51358, 50832, 54925, 61616, 50983, 63875, 54994, 50832, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 77988, 50795, 53599, 50795, 74855, 55672, 50433, 77988, 57775, 74855, 58024, 74855, 52565, 54019, 50795, 51883, 50795, 74855, 50983, 50832, 56484, 54019, 51918, 61616, 50795, 63392, 50795, 53148, 59513, 61616, 50795, 63392, 51798, 54568, 50795, 60337, 50830, 51794, 60720, 54568, 50795, 60337, 60278, 57184, 75087, 57184, 54896, 53839, 65728, 61393, 53839, 59831, 58391, 57814, 58391, 50830, 50799, 52882, 50918, 50695, 50291, 51036, 58030, 51161, 51301, 50918, 52065, 51036, 50767, 50291, 51091, 50665, 50305, 51358, 50832, 54925, 52882, 50918, 58030, 51161, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 50767, 50291, 55672, 50434, 50767, 50291, 58024, 50767, 50291, 52565, 52494, 50807, 51251, 50807, 50767, 50291, 61175, 56484, 52494, 58109, 59797, 50832, 50818, 52260, 50818, 56568, 58431, 50832, 52210, 50832, 58500, 50832, 57000, 50832, 50818, 52283, 50818, 57730, 57868, 50832, 52396, 54568, 79819, 54397, 56086, 54568, 51923, 54577, 50795, 52065, 61393, 54577, 50795, 50799, 54568, 50983, 77269, 51036, 58391, 51605, 51794, 50983, 51883, 51036, 50767, 50301, 50807, 50665, 50308, 51358, 50832, 54925, 54568, 50983, 58391, 51605, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 54577, 50795, 52065, 50795, 50767, 50301, 55672, 50433, 54577, 57775, 50767, 50301, 58024, 50767, 50301, 52565, 54019, 50795, 51883, 50795, 50767, 50301, 50983, 50832, 56484, 54019, 51918, 54019, 50809, 51883, 61189, 54019, 57993, 54577, 50809, 52065, 53401, 54577, 59787, 54019, 50809, 51883, 59248, 54019, 52555, 55872, 50795, 52316, 50795, 50665, 50310, 50967, 50451, 55872, 51923, 54019, 50795, 58030, 50795, 51883, 61393, 54019, 50795, 58030, 50795, 50799, 54577, 51161, 50695, 50296, 50918, 55444, 50983, 51301, 50918, 52065, 51161, 65888, 51091, 68048, 57439, 51700, 54925, 54577, 51161, 55444, 50983, 63311, 50818, 54519, 58100, 50804, 52432, 50804, 55672, 53951, 55672, 53327, 50818, 56957, 50818, 57363, 72247, 55672, 59493, 54013, 50804, 56999, 50804, 52209, 58030, 51626, 55672, 50433, 58030, 50795, 53924, 50818, 52594, 56359, 50804, 52565, 75458, 50807, 58391, 50800, 51251, 52496, 55672, 50439, 58391, 51475, 59797, 50804, 55672, 53012, 55672, 56568, 58431, 50804, 51700, 52210, 58391, 51626, 55672, 50445, 58391, 54397, 50818, 53526, 55672, 52612, 55672, 57730, 50818, 57048, 51700, 52396, 54568, 50807, 55330, 50807, 50695, 50293, 50807, 58030, 79819, 50807, 51794, 50807, 72165, 55340, 60980, 55672, 50451, 54568, 50807, 55330, 50807, 58030, 50795, 55340, 50991, 57857, 50818, 53061, 58464, 50804, 52349, 55444, 51626, 57430, 55444, 50795, 54124, 50818, 52198, 50818, 56483, 50818, 50799, 52494, 51358, 53767, 51358, 50695, 50291, 51161, 58030, 51161, 51251, 51358, 51107, 51358, 52371, 51161, 53148, 51161, 52065, 51161, 52065, 51161, 50767, 50291, 50807, 53679, 59564, 61711, 50983, 50832, 55731, 50983, 50415, 52494, 51358, 53767, 51358, 58030, 51161, 53679, 51291, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 50767, 50291, 55672, 50434, 50767, 50291, 58024, 50767, 50291, 52565, 50767, 50291, 50865, 50665, 50306, 51358, 50832, 52210, 54577, 50795, 53958, 50795, 52065, 50795, 71006, 54008, 66353, 54577, 50795, 53958, 50795, 54008, 53484, 52882, 50795, 56940, 50795, 50695, 50296, 50807, 55444, 50807, 51301, 50795, 66466, 52830, 50807, 52316, 50807, 52065, 50807, 51301, 50807, 65888, 50991, 55314, 67098, 52882, 50795, 56940, 50795, 55444, 50807, 55314, 54896, 52494, 50800, 53767, 50800, 75848, 67247, 53679, 59567, 52494, 50800, 53767, 50800, 53679, 53793, 54568, 50800, 55330, 50800, 51794, 50800, 51488, 50800, 55340, 59107, 54568, 50800, 55330, 50800, 55340, 50809, 50799, 52494, 50807, 53767, 50807, 50695, 50291, 51091, 58030, 51605, 51251, 50807, 68831, 52065, 51091, 52371, 51036, 53148, 51036, 52065, 51036, 50767, 50291, 51091, 53679, 78974, 54925, 52494, 50807, 53767, 50807, 58030, 51605, 53679, 50991, 55997, 56493, 50832, 50818, 56957, 52437, 54577, 51358, 53958, 51358, 52065, 51358, 51357, 51358, 54008, 51291, 50832, 56171, 54577, 51358, 53958, 51358, 54008, 51291, 50432, 50695, 50291, 50800, 52065, 50800, 50767, 50291, 55672, 50434, 50767, 50291, 53593, 50695, 50293, 50800, 51794, 58480, 50767, 50291, 52444, 75458, 50807, 51251, 50807, 50767, 50291, 58006, 55672, 50439, 50832, 59797, 50804, 55672, 53012, 55672, 56568, 58431, 50804, 51700, 52210, 50804, 55672, 73465, 50818, 53526, 55672, 52612, 55672, 57730, 50818, 57048, 51700, 52396, 50695, 50291, 50991, 52065, 60980, 55672, 57857, 50818, 53061, 58464, 50804, 52349, 54568, 50795, 55330, 79819 ]
[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 3495, 16882, 6, 4246, 10, 6755, 12547, 6, 2662, 271, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 8, 38668, 2236, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 538, 6, 19, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 8, 274, 406, 16, 26584, 341, 1328, 5, 2214, 6, 2351, 10, 19448, 8, 33558, 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 ]	[ 57333, 50799, 51956, 51544, 50835, 51570, 52772, 51956, 50799, 51956, 50420, 51751, 51797, 77760, 50979, 51797, 50992, 51797, 50939, 51797, 51298, 51797, 75694, 50810, 72847, 55124, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 75694, 50862, 72847, 57378, 51751, 51797, 77760, 50979, 51797, 50992, 51797, 50939, 51797, 51298, 51797, 75694, 71350, 50326, 70511, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 75694, 71350, 50326, 62232, 51751, 51797, 51037, 51642, 50979, 51797, 50992, 51309, 50939, 51309, 75694, 50867, 72847, 58271, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 75694, 50867, 72847, 60272, 51751, 51797, 77760, 50979, 51309, 50992, 51797, 50939, 51797, 51298, 51797, 75694, 50874, 72847, 50971, 68408, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 75694, 50977, 72847, 55869, 51751, 51309, 77760, 50979, 51309, 50992, 51797, 50939, 51309, 51298, 51797, 66682, 50971, 72847, 56323, 51751, 51178, 51037, 51178, 50979, 51178, 67069, 50939, 51178, 51298, 51178, 75694, 50864, 66682, 50892, 72847, 53705, 51751, 51797, 51037, 51309, 50979, 51797, 50847, 51309, 50939, 51309, 51298, 51797, 64657, 51126, 75694, 55108, 51751, 51178, 51037, 51178, 50979, 51178, 67069, 50939, 51178, 66682, 50867, 64657, 51212, 75694, 53783, 51751, 51309, 77760, 50979, 51797, 50847, 51797, 50939, 51309, 63953, 51126, 66682, 54626, 51751, 51178, 51037, 51178, 50979, 51178, 67069, 50939, 51178, 51298, 51178, 64657, 50864, 63953, 50978, 66682, 72492, 51751, 51797, 51037, 51309, 50979, 51797, 50847, 51797, 50939, 51797, 51298, 51309, 61759, 50863, 64657, 51123, 51057, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 63953, 50862, 61759, 50838, 64657, 54964, 51751, 51797, 77760, 50979, 51309, 50992, 51797, 50939, 51797, 51298, 51797, 58113, 50971, 63953, 65437, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 61759, 50982, 58113, 50901, 63953, 72883, 51751, 51797, 77760, 50979, 51797, 50992, 51797, 50939, 51309, 51298, 51797, 64619, 50941, 61759, 50907, 59008, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 51215, 64619, 54249, 61759, 55844, 50420, 51164, 51797, 51037, 51309, 77735, 50992, 51797, 51007, 73911, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 75123, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 50438, 51164, 51110, 51037, 51110, 76067, 50992, 51110, 51007, 64990, 51164, 51797, 77760, 50872, 51797, 50992, 51309, 51007, 51797, 50450, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51164, 51797, 51037, 51309, 50872, 51797, 50992, 51797, 51007, 51797, 59008, 50967, 51037, 50967, 78871, 50992, 50967, 51007, 61766, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 77008, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 75123, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 50438, 51164, 51110, 51037, 51110, 76067, 50992, 51110, 51007, 51110, 58113, 50977, 63953, 64714, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 63953, 50974, 66682, 72887, 51164, 51483, 51037, 51483, 50872, 51483, 50992, 51483, 51007, 51483, 61759, 51365, 64657, 60272, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 61759, 50867, 64657, 62065, 63953, 51000, 75694, 50907, 68408, 51110, 51037, 51110, 50979, 51110, 72976, 51298, 51110, 63953, 51359, 66682, 53588, 50420, 51751, 51642, 77760, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51483, 51037, 51483, 50979, 51483, 74433, 51298, 51483, 50432, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 50438, 51751, 51110, 51037, 51110, 50979, 51110, 72976, 51298, 64990, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 68408, 50967, 51037, 72092, 50967, 68823, 51298, 61766, 51751, 51797, 51037, 51642, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 51354, 54942, 57421, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 72762, 51751, 51095, 51037, 77947, 51095, 72627, 51298, 51095, 52817, 76623, 51751, 51797, 51037, 51309, 50979, 51797, 50847, 51309, 51298, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 52756, 50845, 59008, 51095, 51037, 51095, 50872, 76126, 51007, 51095, 54467, 74258, 51164, 51797, 51037, 51309, 50872, 51797, 50992, 51642, 51007, 77008, 51164, 51379, 51037, 51379, 50872, 51379, 50992, 51379, 51007, 51379, 50432, 51164, 51797, 77760, 50872, 51797, 50992, 51309, 51007, 51797, 50438, 51164, 51095, 51037, 51095, 50872, 76126, 51007, 75658, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 68324, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 59008, 50967, 51037, 50967, 78871, 50992, 50967, 51007, 61766, 51164, 51309, 51037, 51642, 50872, 51642, 50992, 51642, 51007, 77008, 51164, 51178, 51037, 51178, 50872, 51178, 50992, 51178, 51007, 51178, 54942, 51056, 50432, 51164, 51797, 77760, 50872, 51797, 50992, 51642, 51007, 51797, 50438, 51164, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 51215, 54324, 76623, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 50450, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51037, 51642, 77735, 50992, 51797, 51007, 51797, 53200, 50901, 68408, 51215, 51037, 51215, 50979, 51215, 68567, 51298, 51215, 54324, 70762, 51751, 51797, 51037, 51642, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 75123, 51751, 51797, 77760, 50979, 51797, 50847, 51309, 51298, 51642, 50438, 51751, 51215, 51037, 51215, 50979, 51215, 68567, 50444, 51751, 51309, 77760, 50979, 51797, 50847, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51309, 77760, 50979, 51309, 50847, 51797, 51298, 51309, 68408, 51215, 51037, 51215, 50979, 51215, 68567, 51298, 51215, 50420, 51751, 51642, 77760, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 51354, 54942, 57421, 51751, 51797, 77760, 50979, 51309, 50847, 51797, 51298, 51797, 50438, 51751, 51215, 51037, 51215, 50979, 51215, 68567, 51298, 51215, 52817, 73779, 51751, 51797, 77760, 50979, 51797, 50847, 51309, 51298, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51797, 77760, 50979, 51309, 50847, 51797, 51298, 51797, 52756, 50892, 59008, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 51215, 54467, 74905, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 77008, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 75123, 51164, 51797, 51037, 51309, 77735, 50992, 51797, 51007, 51797, 50438, 51164, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 77683, 51164, 51642, 77760, 50872, 51797, 50992, 51797, 51007, 68324, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51164, 51797, 77760 ]
[ 0, 250, 251, 8, 19448, 1619, 2125, 11, 5, 1365, 6288, 11581, 6, 4246, 10, 13305, 8, 21979, 8669, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 20, 2214, 34, 10, 7212, 20889, 9, 7953, 13410, 228, 2289, 6, 16, 11, 5, 762, 9, 211, 538, 6, 8, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 8, 83, 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 ]	[ 57211, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 52563, 62328, 59210, 51614, 51449, 51669, 51592, 51808, 51449, 51434, 51313, 76429, 52065, 58468, 51088, 58468, 51107, 58468, 55383, 51184, 51672, 51029, 53214, 51022, 51039, 59210, 68568, 51410, 54433, 50913, 74668, 54553, 62730, 50994, 60399, 57578, 51231, 50976, 53649, 55011, 50953, 53933, 62730, 52492, 51007, 51328, 51327, 51029, 53198, 51022, 55208, 51310, 50801, 50907, 76730, 50848, 51199, 51410, 50802, 53491, 51022, 51180, 59210, 56206, 51182, 51432, 51231, 50802, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 54797, 69518, 50987, 51107, 51387, 51457, 50824, 54599, 56773, 51271, 50905, 76730, 51669, 56785, 50862, 51357, 51166, 53341, 51022, 52563, 51310, 50801, 59210, 51614, 68085, 51515, 51422, 51434, 52222, 51808, 52151, 58856, 52065, 52503, 51426, 52503, 51154, 52503, 51375, 52503, 55383, 51184, 51303, 51009, 51457, 50802, 53214, 51022, 51660, 51258, 61253, 51039, 59210, 52257, 50995, 66058, 51327, 54433, 50913, 74668, 54553, 62730, 50994, 60399, 54910, 56785, 50838, 51672, 50802, 53649, 55011, 51271, 54312, 62730, 52492, 63767, 50987, 50872, 50810, 51672, 51407, 53198, 55707, 51271, 51391, 50801, 50907, 76730, 59849, 51380, 50935, 50905, 52571, 50802, 53491, 51022, 51180, 59210, 56992, 51410, 50802, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 54910, 51412, 60179, 51303, 50802, 54599, 56773, 51271, 50873, 76730, 56992, 51231, 50802, 53341, 51022, 52563, 67839, 59210, 52043, 51243, 51607, 51243, 53160, 51391, 51149, 51212, 51299, 53055, 51301, 53055, 51088, 53055, 51093, 53055, 55383, 51184, 51249, 73072, 51660, 51922, 51434, 51293, 53214, 51022, 51039, 59210, 78005, 51476, 50976, 55618, 74668, 54553, 62730, 50994, 60399, 77558, 51465, 51066, 53649, 55011, 50953, 53959, 62730, 52492, 51149, 51233, 51672, 51029, 53198, 51022, 55208, 62328, 50907, 76730, 53160, 51391, 51266, 52059, 51465, 50976, 53491, 51022, 51180, 59210, 70687, 51301, 51884, 51231, 51059, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 57742, 51088, 51074, 51327, 67067, 53876, 51097, 54599, 56773, 50953, 50857, 76730, 56523, 51681, 50320, 50854, 51093, 51074, 53341, 51022, 52563, 62328, 59210, 52027, 68085, 51434, 51422, 51607, 52222, 52603, 52151, 78242, 51299, 53678, 51426, 53678, 51088, 53678, 51093, 53678, 55383, 51184, 51687, 51407, 51327, 50802, 53214, 51022, 51515, 51258, 51298, 50844, 51039, 59210, 53876, 50995, 65078, 51672, 54433, 50913, 74668, 54553, 62730, 50994, 60399, 58795, 59985, 50838, 51395, 52011, 51249, 50802, 53649, 55011, 50953, 53933, 62730, 52492, 50656, 50340, 50987, 77283, 51249, 51029, 53198, 51022, 55208, 51310, 50801, 50907, 76730, 63767, 51380, 51298, 77046, 51811, 52011, 53491, 51022, 51180, 59210, 56206, 51465, 50802, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 58795, 51412, 59995, 51304, 52011, 51231, 50976, 54599, 56773, 52018, 50905, 76730, 56206, 51981, 51795, 53341, 51022, 52563, 67839, 59210, 52769, 52204, 50988, 51391, 51007, 51212, 51251, 50363, 50412, 51357, 71620, 51107, 55586, 52690, 51029, 52571, 51029, 51410, 73072, 51088, 63712, 53214, 51022, 51614, 51717, 50419, 51808, 52204, 51039, 59210, 62587, 50421, 51669, 55392, 55618, 51022, 52257, 56515, 50425, 54910, 54249, 51768, 54553, 62730, 50994, 60399, 50935, 51008, 53649, 55011, 50953, 53959, 62730, 52492, 51007, 51233, 55383, 50976, 53198, 51022, 55208, 62328, 50907, 76730, 50988, 51391, 53655, 50976, 53491, 51022, 51180, 59210, 66397, 52690, 50976, 50445, 51558, 50907, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 60331, 52571, 50976, 50451, 51384, 51000, 54599, 56773, 50953, 50857, 76730, 51007, 50854, 51384, 50941, 51410, 50802, 53341, 51022, 52563, 62328, 59210, 50988, 51318, 51007, 51101, 55383, 51184, 51231, 51352, 51672, 51352, 50415, 54294, 55490, 53214, 51022, 51039, 59210, 50848, 51470, 55618, 74668, 54553, 62730, 50994, 60399, 50935, 51008, 53649, 55011, 50953, 53309, 62730, 52492, 69776, 53198, 51022, 55208, 51542, 50801, 50907, 76730, 50988, 51448, 53491, 51022, 54141, 59754, 52492, 78430, 50445, 51669, 51477, 52612, 50367, 54395, 51955, 54553, 62730, 58290, 57798, 60399, 52257, 50981, 63833, 50453, 51553, 73105, 50456, 50953, 50942, 51895, 55801, 61451, 54910, 64108, 50874, 51231, 50976, 50459, 51224, 73105, 52563, 51241, 53360, 52054, 50372, 58102, 51614, 51445, 51669, 51662, 51808, 51445, 51434, 51151, 51007, 51109, 52065, 52988, 51088, 52988, 51107, 52440, 55383, 51009, 51410, 50824, 51672, 50824, 51921, 56642, 51039, 69292, 50848, 51233, 52111, 56642, 51768, 70921, 56206, 51107, 52528, 51457, 50802, 51999, 56642, 66962, 53243, 62730, 58102, 51007, 51212, 51672, 51029, 51981, 51029, 52224, 56642, 55208, 70812, 59754, 58102, 75548, 52690, 51009, 50439, 51384, 51466, 52260, 56642, 51180, 69292, 61204, 52283, 56642, 51955, 70921, 54797, 51681, 50318, 50977, 51558, 51466, 51457, 50993, 52145, 56642, 50456, 51271, 50845, 51895, 58102, 51669, 56238, 50836, 52215, 56642, 51231, 51066, 51327, 50993, 51457, 50993, 52563, 51241, 53360, 58102, 51660, 51330, 51434, 51312, 51607, 50995, 52043, 50932, 51149, 51109, 51299, 51703, 51301, 51703, 51088, 51703, 51093, 51703, 55383, 51009, 51921, 56642, 51039, 69292, 50868, 51233, 51818, 72356, 56642, 51457, 50803, 51768, 70921, 56206, 51465, 51407, 51327, 51407, 51999, 56642, 66962, 53243, 62730, 58102, 51660, 51447, 51434, 51127, 51607, 51148, 52043, 51535, 51149, 51212, 52224, 56642, 55208, 70812, 59754, 58102, 50868, 51380, 51299, 51703, 51301, 51703, 51088, 51703, 52690, 51009, 52260, 56642, 51180, 69292, 61204, 52283, 56642, 51955, 70921, 53876, 50878, 51149, 50977, 52145, 56642, 50456, 52018, 50845, 51895, 58102, 56523, 55305, 50836, 51327, 50803, 52215, 56642, 51457, 50803, 52563, 51241, 53360, 58102, 52806, 63309, 51614, 51518, 51944, 52071, 51440, 51714, 50946, 51043, 51251, 51922, 51491, 51922, 51113, 54171, 51107, 51922, 55383, 51009, 51719, 50802, 51457, 79363, 56642, 52745, 79511, 69292, 53335, 60069, 50866, 51457, 51029, 52287, 51029, 52111, 56642, 51768, 70921, 52807, 59232, 50925, 51999, 56642, 66962, 53243, 62730, 58102, 61371, 50977, 62081, 52224, 56642, 55208, 70812, 59754, 58102, 54910, 51312, 59027, 52690, 51009, 51249, 50802, 52948, 50802, 52260, 56642, 51180, 69292, 69946, 51600, 51753, 51818, 50976, 52283, 56642, 51955, 70921, 52807, 51203, 64178, 51113, 52011, 51457, 50802, 52145, 56642, 50456, 51011, 50845, 51895, 58102, 50944, 50810, 51107, 51387, 51672, 50824, 51457, 51184, 52215, 56642, 52563, 51191, 53360, 58102, 51614, 63309, 51434, 51518, 51808, 52071, 51669, 51714, 51007, 51109, 52065, 51922, 51251, 51922, 51088, 51922, 55383, 51009, 51921, 56642, 51660, 79511, 69292, 54797, 60871, 51233, 51410, 50802, 52111, 56642, 51768, 70921, 54910, 56238, 50844, 51231, 50802, 51999, 56642, 66962, 53243, 62730, 58102, 50656, 50339, 50977, 51007, 51212, 51672, 51300, 52224, 56642, 55208, 67839, 59754, 58102, 63767, 51312, 75548, 52690, 51009, 52260, 56642, 51180, 69292, 61204, 51558, 51753, 52283, 56642, 51955, 70921, 54910, 51203, 75734, 51107, 53161, 52145, 56642, 50456, 50953, 50862, 51895, 58102, 50847, 79164, 51387, 51672, 50802, 52215, 56642, 58124, 51295, 53360, 58102, 51669, 51313, 51808, 51313 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 7630, 14805, 6453, 9, 11098, 6, 657, 6, 8, 5, 1619, 4780, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 3459, 9590, 6, 6755, 12547, 6, 8, 21072, 6, 2351, 10, 33558, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 211, 6, 381, 6, 83, 6, 211, 6, 8, 381, 16331, 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 ]	[ 57211, 50791, 50883, 51544, 50883, 51570, 50883, 52320, 54944, 51069, 54319, 51205, 57326, 51069, 50854, 51034, 51494, 51203, 51119, 51124, 51275, 51377, 50927, 52589, 70411, 57900, 73628, 62456, 55133, 50927, 64868, 51041, 52641, 51213, 50873, 51762, 73508, 73905, 51429, 50914, 51275, 51134, 65344, 55389, 55135, 57974, 51468, 50441, 64864, 59491, 50846, 51618, 50846, 59696, 61252, 51069, 50917, 55347, 58010, 51041, 54579, 51096, 50959, 63032, 51429, 51377, 51275, 51377, 52070, 51363, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 64429, 51041, 53442, 53344, 50805, 51320, 50846, 51572, 52616, 51099, 51351, 51429, 51191, 51275, 51419, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 60908, 55347, 58010, 51041, 54579, 51271, 51373, 53855, 51494, 51363, 51119, 51221, 51275, 51400, 50927, 59488, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 63972, 51041, 53442, 51213, 50866, 51320, 50846, 51572, 52616, 51099, 50915, 51429, 50943, 51275, 50981, 78021, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 75740, 55347, 58010, 51041, 54579, 51096, 51049, 53855, 51429, 51025, 51275, 51346, 52070, 51363, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 57670, 51041, 53442, 53344, 50917, 51320, 50846, 51572, 52616, 51099, 51391, 51429, 50914, 51275, 51003, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 56880, 51041, 52761, 51205, 52189, 51041, 54579, 51069, 50897, 63032, 51494, 51411, 51119, 51377, 51275, 51400, 50927, 62809, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 67310, 51041, 53442, 51213, 50892, 51320, 50846, 51572, 52616, 51099, 51109, 51429, 51400, 51275, 50915, 74959, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 61002, 55347, 58010, 51041, 54579, 51096, 51420, 53855, 51429, 51480, 51275, 51267, 52070, 51775, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 63035, 51041, 53442, 53344, 50917, 51320, 50846, 51572, 52616, 51099, 50915, 51429, 51159, 51275, 50915, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 58972, 51041, 52761, 51205, 51582, 51041, 54579, 51069, 50833, 63032, 51494, 51363, 51119, 51377, 51275, 51025, 50927, 65958, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 59281, 51041, 53442, 51213, 50937, 51320, 50846, 51572, 52616, 51099, 51109, 51429, 51056, 51275, 51312, 77375, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 71376, 55347, 58010, 51041, 54579, 51096, 51049, 53855, 51429, 51363, 51275, 51400, 52070, 51363, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 62467, 51041, 53442, 53344, 50917, 51320, 50846, 51572, 52616, 51099, 50915, 51429, 50914, 51275, 50981, 56181, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51011, 59488, 51041, 58010, 51041, 54579, 51011, 51437, 53855, 51494, 64023, 51110, 51275, 51377, 70943, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 50927, 64868, 51041, 53442, 51213, 51058, 51320, 50846, 51572, 52616, 51099, 51056, 51429, 51162, 51275, 51109, 50953, 50977, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 75740, 55347, 58010, 51041, 54579, 51096, 50833, 63032, 51429, 51233, 51275, 51221, 52070, 51043, 51205, 50952, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 57670, 51041, 53442, 53344, 50849, 51320, 50846, 51572, 52616, 51099, 51134, 51429, 50943, 51275, 51134, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 58972, 51041, 52761, 51205, 51420, 51041, 54579, 51069, 50878, 63032, 51494, 50892, 51119, 50873, 51275, 51101, 50927, 62809, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 59281, 51041, 53442, 51213, 50873, 51320, 50846, 51572, 52616, 51099, 51267, 51429, 51162, 51275, 51267, 77375, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 61002, 55347, 58010, 51041, 54579, 51096, 51582, 53855, 51429, 51412, 51275, 51025, 52070, 51363, 51205, 50924, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 62467, 51041, 53442, 53344, 50849, 51320, 50846, 51572, 52616, 51099, 51003, 51429, 50889, 51275, 51003, 76008, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51011, 50845, 55347, 58010, 51041, 54579, 51271, 50840, 63032, 51494, 51233, 51119, 51178, 51275, 51203, 50927, 65958, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 64429, 51041, 53442, 51213, 50873, 51320, 50846, 51572, 52616, 51099, 51267, 51429, 51159, 51275, 50915, 65343, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 62421, 51041, 52761, 51205, 53330, 51041, 54579, 51069, 50857, 63032, 51494, 51233, 51119, 51178, 51275, 51221, 50927, 55023, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 56088, 51041, 53442, 51069, 53303, 50898, 55201, 51205, 50836, 74264, 50927, 52195, 55347, 50898, 55354, 51275, 50987, 60899, 51516, 50855, 51468, 50453, 52070, 51242, 52381, 51833, 52579, 55347, 51041, 54943, 71498, 52112, 51528, 52885, 55265, 51153, 51235, 51213, 51427, 50426, 51429, 50943, 50953, 51054, 51088, 51542, 51357, 51134, 51107, 66673, 52885, 64124, 50898, 55135, 55389, 53442, 59674, 51762, 51572, 53239, 58918, 55389, 50898, 50883, 51618, 53533, 50964, 51090, 51088, 70491, 51312, 51266, 51806, 51762, 51647, 50820, 51453, 51636, 77237, 59696, 55927, 74802, 52112, 51039, 51041, 55133, 51228, 50925, 55389, 53855, 78770, 51251, 51592, 51491, 51662, 51113, 51662, 51468, 51532, 72793, 50898, 55135, 50927, 54749, 50898, 52600, 71668, 51762, 51572, 52616, 51205, 60257, 51636, 50447, 55389, 53533, 73365, 51983, 51647, 50820, 51453, 50898, 50883, 77237, 51528, 55265, 67390, 51762, 51039, 50898, 55133, 68580, 51251, 50977, 51088, 50937, 51357, 51058, 55094, 51544, 50820, 51532, 72793, 51041, 55135, 51133, 51566, 51299, 50901, 51301, 50892, 51088, 66644, 50817, 51570, 67129, 68619, 50898, 55551, 51213, 51016, 51794, 51212, 51491, 51101, 51113, 71058, 52568, 51762, 51647, 50820, 51453, 51041, 56046, 51415, 51362, 52065, 51337, 51426, 51043, 51491, 72495, 50817, 50799, 51468, 51402, 61044, 68269, 53855, 51019, 51192, 52065, 50862, 51301, 50840, 51088, 53351, 54396, 51468, 51361, 64775, 50820, 51570, 52267, 51096, 50923, 52602, 50897, 51638, 51030, 53431, 53851, 55723, 51069, 51033, 53215, 50854, 51883, 53393, 51463, 50817, 52274, 51034, 51494, 64023, 51110, 51275, 51203, 50927, 54168, 70411, 57900, 73628, 62456, 55133, 50927, 56088, 51041, 52641, 51213, 50977, 51762, 73508, 51099, 51025, 51429, 51377, 51275, 51312, 75825, 55389, 55135, 57974, 51468, 50441, 64864, 59491, 50846, 51618, 50846, 59696, 61252, 69703, 55347, 58010, 51041, 54579, 77059, 63032, 51429, 51255, 51275, 51124, 52070, 51194, 51205, 51033, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 59281, 51041, 53442, 53344, 50938, 51320, 50846, 51572, 52616, 69399, 55347, 64707, 51618, 52725, 51494, 50952, 51275, 50887, 51468, 51647, 52579, 51099, 50925, 51275, 56880, 51041, 79516, 77237 ]
[ 0, 250, 32076, 8, 15352, 30054, 5175, 19834, 37903, 6, 4246, 10, 6755, 12547, 6, 20535, 2810, 6, 5921, 3343, 1290, 642, 5255, 6, 1515, 21305, 6, 8, 38668, 20535, 6, 278, 11, 10, 1769, 20889, 8, 41, 5425, 112, 73, 398, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 980, 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, 50415, 52646, 50380, 54936, 65334, 51456, 55221, 52022, 50380, 53183, 59740, 51394, 50890, 52032, 50887, 57273, 50813, 71751, 50817, 52336, 50817, 51011, 64682, 65074, 61769, 52981, 53148, 51141, 51088, 51991, 51395, 51991, 51394, 51991, 52032, 51294, 50712, 50283, 51388, 52099, 51090, 64010, 50918, 71751, 51795, 52336, 51009, 74599, 64157, 52773, 51463, 58278, 51031, 50421, 50706, 50298, 60449, 51811, 50840, 51776, 51364, 50424, 51811, 50836, 52366, 51364, 55241, 51406, 52762, 51811, 65216, 51600, 50809, 51811, 50813, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50430, 51811, 53705, 51811, 50867, 55241, 53971, 51759, 59382, 51811, 63136, 51600, 50809, 51811, 50867, 52032, 51191, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 56270, 51811, 68167, 51600, 50809, 51811, 50904, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50442, 51811, 56069, 51600, 50809, 51811, 51128, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 56877, 51811, 79209, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 51491, 50910, 51107, 50910, 51284, 50910, 52196, 50952, 51648, 51033, 52578, 51033, 52002, 51033, 62986, 50823, 52067, 50823, 55241, 54131, 51187, 67152, 52432, 51154, 50858, 51488, 50858, 51600, 50809, 51629, 50858, 54541, 50859, 52541, 50859, 52425, 51033, 51713, 51033, 52747, 51033, 75229, 50803, 52264, 50811, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 50961, 50424, 51794, 50858, 51375, 50858, 51201, 50858, 51600, 50809, 56177, 50859, 51996, 50859, 52489, 51033, 52425, 51033, 51713, 51033, 56846, 50803, 71555, 55241, 50855, 74599, 64157, 50836, 59542, 54472, 51187, 67152, 77751, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 64223, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 55241, 51406, 53203, 53148, 51141, 51301, 51538, 51093, 51538, 51600, 50809, 51182, 51991, 51946, 51294, 50712, 50280, 51388, 54961, 51159, 51683, 51090, 64010, 50918, 58072, 51795, 51579, 51009, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 51031, 50421, 50712, 50286, 50802, 51963, 60449, 51888, 51364, 50424, 51776, 51364, 55241, 51406, 64015, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 51946, 51191, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 64223, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 51426, 50910, 51357, 50910, 51600, 50910, 53780, 50952, 52310, 51033, 52099, 51033, 52578, 51033, 69419, 50823, 52314, 50823, 55241, 54131, 51187, 67152, 52432, 51251, 50858, 51165, 50858, 51201, 50858, 51600, 50809, 54277, 50859, 51996, 50859, 51906, 51033, 51648, 51033, 51713, 51033, 56846, 50803, 71555, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 50961, 50424, 51638, 50858, 51154, 50858, 75352, 56708, 50859, 52665, 50859, 52103, 51033, 51906, 51033, 51648, 51033, 55749, 50803, 51485, 50811, 55241, 50855, 74599, 64157, 50836, 59542, 54472, 51187, 67152, 77751, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 64223, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 55241, 51406, 53203, 53148, 51077, 51794, 51538, 51113, 51538, 51266, 51991, 51600, 50809, 53064, 51294, 50712, 50286, 50802, 50712, 50277, 51388, 54961, 51159, 51913, 51090, 52425, 51364, 51888, 51364, 64010, 50918, 57089, 51795, 51744, 51009, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 51031, 50421, 52851, 75800, 55241, 51406, 64015, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 53064, 51191, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 52830, 51077, 51600, 50809, 55596, 50833, 64048, 50713, 50284, 50809, 59585, 52716, 55089, 64223, 55596, 51406, 64314, 51600, 50809, 55596, 50855, 51019, 50880, 50713, 50284, 50836, 59585, 50836, 61014, 51600, 50809, 55596, 50833, 64048, 50713, 50284, 50809, 59585, 52773, 51759, 65493, 51600, 50809, 55596, 50855, 51019, 50880, 50713, 50284, 50836, 59585, 50836, 51471, 51809, 51299, 50910, 51375, 50910, 51395, 50910, 52695, 50952, 52489, 51033, 51683, 51033, 52099, 51033, 61716, 50823, 51641, 50823, 55596, 54131, 51187, 67152, 52432, 52065, 51977, 51088, 54527, 51107, 54484, 52665, 54454, 51963, 52282, 52310, 52266, 51648, 55362, 55749, 51300, 51485, 51059, 58259, 50952, 63166, 69490, 50830, 51335, 56545, 51463, 58278, 50961, 50424, 50660, 50353, 50846, 51778, 50952, 51415, 50823, 79588, 75027, 50660, 50352, 65416, 53682, 54454, 50945, 51685, 67023, 51413, 50430, 73038, 53593, 50660, 50354, 53418, 50660, 50355, 59673, 50660, 50351, 53035, 50660, 50350, 63317, 50660, 50354, 53685, 79916, 54814, 50660, 50356, 50846, 51809, 50660, 50353, 53829, 73038, 58158, 50660, 50355, 58235, 50660, 50352, 53855, 50660, 50353, 54660, 50660, 50355, 50846, 73038, 58406, 50660, 50351, 60631, 50660, 50352, 56484, 50660, 50356, 62738, 73038, 52878, 50660, 50353, 50846, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 5175, 37903, 11, 2060, 538, 1575, 38668, 3038, 6, 21072, 6, 17691, 28430, 6, 38668, 20535, 6, 8, 842, 1671, 1688, 4428, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 19, 10, 11602, 9, 2365, 1007, 4, 8504, 11, 204, 73, 306, 86, 8, 1375, 23, 41, 12447, 1001, 20889, 6, 24, 18, 10, 4315, 53, 20902, 2125, 14, 7630, 6568, 10, 1472, 9, 3366, 219, 9743, 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 ]	[ 56236, 50722, 50283, 51012, 76052, 50846, 50747, 50336, 50883, 52804, 52220, 57900, 56439, 50372, 55958, 52445, 50415, 67023, 58671, 76052, 50836, 50747, 50338, 52628, 50722, 50285, 50858, 76052, 51309, 50747, 50336, 51095, 52804, 51031, 67023, 51173, 50856, 54697, 53899, 50856, 61288, 52804, 52220, 53864, 50368, 51586, 52925, 52804, 50883, 67023, 55509, 53864, 53940, 56544, 54288, 52804, 56153, 73804, 54728, 50722, 50288, 53235, 53349, 50366, 52272, 59138, 50722, 50291, 50950, 52804, 61654, 52616, 50722, 50292, 50844, 67023, 51192, 50856, 54697, 59279, 50722, 50291, 51653, 50447, 52804, 54973, 50362, 51657, 52725, 52804, 53662, 56500, 50363, 52272, 59835, 53857, 52485, 50722, 50288, 50880, 71859, 50855, 54888, 53850, 56129, 55454, 62264, 55263, 54625, 73872, 50836, 79475, 50827, 53857, 56715, 55811, 50799, 50722, 50283, 51138, 50747, 50331, 50880, 67023, 50882, 52804, 52220, 57226, 53857, 53113, 50722, 50285, 51010, 73872, 50858, 67023, 51192, 52804, 51663, 54697, 54104, 53857, 55328, 52514, 50426, 71859, 50887, 52804, 51670, 59539, 65350, 52804, 51031, 67023, 73256, 53637, 54121, 56802, 78852, 58970, 52804, 56332, 60290, 50362, 51586, 64359, 50722, 50288, 50894, 67350, 55395, 50722, 50291, 51520, 51559, 76665, 52134, 50441, 52804, 58611, 56122, 53044, 50722, 50292, 50890, 67023, 51388, 50773, 50316, 57737, 58364, 54525, 52804, 52279, 55476, 55567, 50363, 51657, 53068, 50722, 50291, 50975, 53857, 53662, 50933, 51895, 51024, 50361, 52272, 58759, 54888, 51031, 50773, 50312, 55717, 53268, 53857, 54332, 54996, 53864, 53637, 55959, 69484, 57400, 79475, 50827, 52804, 51663, 52835, 50799, 50722, 50283, 51030, 76052, 50884, 50747, 50336, 50961, 67023, 50894, 53857, 50821, 79151, 51520, 56241, 51851, 50417, 76052, 50887, 50747, 50338, 50883, 52804, 53213, 50722, 50285, 50962, 76052, 51203, 50747, 50336, 51162, 67023, 51286, 53857, 54046, 63259, 53744, 50856, 72769, 52804, 51670, 52995, 79974, 52804, 50949, 67023, 54567, 62264, 55410, 54487, 52804, 61274, 50363, 51369, 54077, 50722, 50288, 53235, 52995, 50361, 52638, 59356, 50722, 50291, 50894, 52804, 55717, 53044, 50722, 50292, 50971, 67023, 71541, 55942, 58364, 56233, 61794, 50722, 50291, 70048, 52804, 51695, 70029, 50359, 52638, 54185, 52804, 55719, 53340, 59121, 50364, 51372, 54859, 53857, 56332, 53007, 50722, 50288, 50962, 54888, 53479, 53612, 58364, 54625, 53857, 53662, 56162, 53024, 50799, 50722, 50283, 51138, 50747, 50331, 50890, 67023, 50950, 52804, 52220, 59991, 73872, 50833, 53857, 55446, 50722, 50285, 51010, 71859, 50862, 52804, 50811, 67023, 51286, 50856, 53637, 54104, 50856, 72769, 78852, 50880, 52804, 52220, 52995, 79974, 67350, 50859, 67023, 50858, 52804, 54973, 54697, 54966, 53908, 78852, 50858, 52804, 61151, 50364, 51613, 63136, 50722, 50288, 55734, 50722, 50291, 51520, 56500, 51851, 50441, 67350, 50808, 52804, 54756, 63610, 67023, 51354, 50444, 50722, 50292, 50890, 50773, 50316, 54046, 58364, 57854, 61595, 73123, 52804, 54046, 79912, 53068, 50722, 50291, 50975, 53857, 54451, 55836, 50366, 51586, 58345, 54888, 50817, 50773, 50312, 56580, 53211, 53857, 53662, 80120, 52995, 53637, 56233, 54794, 52804, 51670, 54049, 50361, 51087, 50813, 50799, 50722, 50285, 51021, 53367, 50880, 50773, 50311, 51520, 56241, 50363, 52272, 57780, 52804, 50818, 52464, 55717, 53227, 50722, 50287, 50950, 53367, 54046, 54697, 55263, 78410, 58362, 50856, 50361, 51765, 57203, 52464, 52220, 53434, 55942, 50364, 51657, 54215, 77992, 50822, 52464, 51695, 55567, 63737, 54487, 52464, 56332, 71015, 51258, 50436, 76052, 53813, 50722, 50291, 53056, 51467, 51297, 50439, 77992, 57108, 50722, 50293, 50894, 52464, 52625, 59144, 50747, 50338, 55489, 79046, 55892, 58364, 55685, 50722, 50293, 51460, 50447, 77992, 50800, 52464, 51663, 58547, 52464, 55719, 56500, 51851, 50453, 76052, 52485, 50722, 50291, 50930, 77992, 50890, 53367, 50880, 52804, 51463, 53349, 58364, 55410, 54625, 53367, 54451, 55921, 50363, 51586, 50864, 50799, 50722, 50285, 51021, 52464, 51670, 56700, 50358, 51433, 60209, 53367, 60689, 53403, 50722, 50287, 50950, 52464, 52702, 50361, 50919, 54697, 54763, 50375, 53047, 55375, 50856, 50361, 51433, 51904, 50606, 55124, 52464, 51670, 53110, 50363, 51657, 52925, 52464, 51663, 54697, 54487, 52464, 61151, 52134, 50438, 50722, 50291, 52220, 56500, 55003, 50440, 50722, 50293, 61184, 52464, 60681, 79046, 52616, 50722, 50291, 54046, 54697, 55773, 60886, 50722, 50293, 61970, 52464, 57737, 51851, 50448, 79046, 53595, 50722, 50293, 50976, 52464, 55146, 56500, 50364, 51613, 53922, 53367, 65547, 54199, 52804, 54906, 71339, 53612, 63737, 59003, 57023, 53367, 56690, 59220, 50363, 51586, 50834, 50799, 50722, 50285, 51021, 52464, 51670, 51467, 50373, 52526, 61605, 50359, 51117, 58671, 53367, 51156, 61141, 55105, 50722, 50287, 50950, 52464, 51670, 59121, 53637, 54763, 62142, 63416, 77992, 52296, 50856, 66621, 50375, 53047, 51123, 50424, 76052, 54818, 52464, 51670, 50862, 51895, 51259, 50365, 52272, 64644, 77992, 54937, 50747, 50338, 50890, 52464, 57737, 58364, 54763, 56233, 57869, 77992, 50859, 52464, 61274, 50364, 52272, 53945, 50722, 50291, 53056, 52995, 50364, 51657, 55218, 50722, 50293, 50894, 76052, 50858, 52464, 55717, 54305, 79046, 55892, 58364, 59003, 61334, 50722, 50293, 51603, 77992, 56762, 52464, 51663, 60140, 53057, 52464, 55719, 56500, 50367, 51657, 58345, 53367, 50385, 52272, 54481, 50722, 50291, 50930, 52804, 52279, 53864, 62264, 56233, 54359, 53367, 53579, 55892, 50363, 51657, 50867, 50799, 50722, 50285, 51021, 52464, 51670, 59295, 50366, 52272, 60209, 53367, 62073, 53403, 50722, 50287, 50894, 52464, 54046, 53637, 55410, 56037, 50856, 50363, 52272, 53803, 52464, 51670, 52995, 50366, 51372, 53943, 51170, 53705, 52464, 50961, 50773, 50314, 52220, 58272, 60290, 54697, 59003, 56030, 50722, 50291, 50882, 52464, 50930, 50773, 50314, 52279, 54996, 59220, 50363, 51613, 52766, 50722, 50293, 56701, 50864, 52352, 51259, 71516, 59138, 79046, 50810, 52464, 50811, 50773, 50314, 52279, 50844, 70912, 53524, 50722, 50293, 51505, 51326, 55147, 60526, 53940, 55773, 54028, 52464, 50817, 50773, 50314, 51463, 51559, 61212, 54071, 51240, 54086, 50722, 50291, 50923, 52464, 50962, 50773, 50314, 52279, 55309, 58016, 50862, 54710, 55370, 50722, 50293, 50811, 71859, 51215, 52464, 51010, 52197, 50961, 50773, 50314, 52279, 51467, 56162, 54697, 54966, 57023, 50856, 51851, 50799, 50722, 50283, 51012, 76052, 50839, 50747, 50336, 50846, 52804, 50811, 50773, 50308, 50820, 79151, 51520, 53833, 61819, 67912, 51126, 50415, 50747, 50331, 51469, 50417, 76052, 50809, 50747, 50336, 50841, 50747, 50338, 50890, 53857, 55180, 50722, 50285, 50858, 76052, 51481, 50747, 50336, 51101, 52804, 51663, 54697, 53744, 50856, 73274, 52804, 51670, 52995, 51252, 50427, 53231, 75925, 52804, 54973, 54697, 54121, 54966, 54034, 52804, 61151, 54887, 51236, 54728, 50722, 50288, 53235, 50378, 52272, 57917, 50722, 50291, 50950, 52804, 55364, 54247, 50722, 50292, 53948, 75792, 54493, 53637, 55685, 50722, 50291, 51653, 50447, 52804, 54501, 71015, 50363, 51657, 52725, 52804, 51670, 50862, 71891, 50364, 52638, 56366, 53857, 55137, 53217, 50722, 50288, 50880, 54888, 53893, 52995, 53637, 56128, 54625, 53857, 53690, 55651, 61212, 52134, 50799, 50722, 50283, 51138, 50747, 50331 ]
[ 0, 250, 2635, 12, 20764, 15855, 2125, 14, 115, 1807, 25, 10, 5386, 822, 19834, 6, 4246, 41, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 2342, 4467, 6, 17691, 28430, 6, 8, 1515, 21305, 4, 23973, 11, 231, 73, 398, 86, 8, 278, 11, 5, 762, 9, 12608, 538, 6, 24, 7630, 6568, 10, 1472, 9, 9066, 26545, 149, 63, 20058, 33215, 16739, 9, 274, 406, 6, 272, 119, 401, 6, 83, 406, 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 ]	[ 51540, 50622, 59861, 52731, 50420, 55228, 52192, 50426, 53715, 52192, 50432, 54969, 51824, 50438, 52650, 53957, 50450, 59861, 52192, 50456, 55228, 51824, 50462, 53715, 51824, 50468, 54969, 51470, 50474, 52182, 50981, 52650, 54836, 51540, 51752, 51047, 59861, 51824, 50420, 55228, 51824, 50426, 53715, 65252, 54969, 71552, 52161, 51003, 52650, 52378, 50450, 56265, 52192, 50451, 51565, 51127, 50456, 53715, 51824, 50462, 54969, 51824, 50468, 52650, 51470, 50474, 51673, 50889, 52566, 54836, 51540, 52480, 50983, 59862, 51824, 50420, 54969, 51824, 50426, 52650, 65252, 51886, 51158, 52566, 71552, 51673, 51013, 54254, 52048, 50450, 51886, 51336, 56265, 52782, 50456, 53472, 52192, 50462, 52650, 51824, 50468, 53267, 51470, 50474, 51565, 51358, 52697, 52378, 51540, 63950, 51376, 52481, 52519, 50420, 56265, 74907, 52650, 52378, 51165, 51576, 51638, 51380, 51426, 52056, 50431, 51606, 51060, 50437, 51154, 52188, 51299, 57937, 51686, 50889, 53118, 52378, 51113, 52188, 50449, 51565, 64712, 63950, 51376, 52481, 52136, 50456, 56265, 51376, 50460, 51426, 51108, 50461, 51638, 50932, 50462, 52650, 52378, 51165, 52188, 50468, 51606, 51100, 50473, 51154, 50838, 50474, 53118, 52378, 51113, 52188, 51299, 51108, 50475, 51686, 50914, 51540, 51565, 51307, 70164, 51376, 51357, 52188, 51699, 52011, 51251, 50932, 51088, 50932, 52776, 51447, 50420, 60131, 74907, 55228, 76103, 57215, 71113, 53472, 73505, 52650, 73380, 54029, 52378, 50473, 52182, 51419, 51540, 51752, 51145, 59861, 52731, 51299, 51637, 50420, 55228, 52192, 50426, 53715, 51824, 50432, 54969, 71552, 52161, 51003, 52650, 53957, 50450, 51565, 51103, 56265, 51824, 51638, 51283, 50456, 52650, 51824, 50462, 53715, 51470, 50468, 54969, 51470, 50473, 51827, 59369, 52650, 52048, 51540, 52604, 51364, 59862, 51470, 52316, 51477, 50420, 56837, 65933, 53118, 76103, 51673, 50795, 53267, 70448, 51827, 50807, 54361, 78814, 51673, 51077, 55228, 51006, 51699, 51318, 50456, 53715, 51006, 50462, 53748, 51006, 50468, 52650, 51006, 50474, 51752, 51591, 52566, 51484, 51165, 52011, 51540, 56456, 51006, 51887, 51535, 51113, 52212, 50420, 53715, 57104, 54969, 51283, 51426, 53957, 51299, 51097, 50427, 51426, 52996, 50432, 52202, 51121, 50437, 51375, 52063, 51426, 61417, 51596, 51003, 51375, 52048, 51375, 67303, 51752, 51295, 55228, 51006, 52776, 52519, 51088, 51490, 50451, 51699, 51448, 50456, 53472, 51006, 50462, 53118, 51283, 51154, 52378, 51154, 52056, 51251, 51466, 50468, 52202, 51101, 50473, 51088, 51753, 50474, 52161, 50981, 51088, 52188, 51154, 54211, 50475, 51357, 51330, 51540, 59861, 51174, 51088, 51576, 51088, 51108, 52143, 51310, 50415, 51752, 51313, 51426, 55574, 52143, 51878, 51093, 51671, 50420, 55228, 69925, 54969, 65948, 53715, 70448, 54969, 71892, 52650, 67042, 59861, 68987, 55228, 51254, 50462, 54969, 51254, 50468, 53715, 51254, 50474, 52650, 51576, 51088, 51542, 51540, 59861, 51174, 50415, 51752, 52528, 51093, 78374, 55228, 60316, 53715, 66255, 54969, 68112, 52650, 51576, 51395, 50995, 50449, 51182, 77307, 52315, 52528, 56265, 70347, 53715, 51174, 50462, 54969, 51254, 50468, 52650, 51254, 50474, 52566, 52188, 51304, 50915, 51540, 52155, 52916, 55039, 51254, 51811, 71215, 54969, 69925, 52650, 51470, 50431, 51384, 54777, 52566, 71552, 54254, 52048, 51304, 57197, 52315, 51703, 56265, 51006, 51384, 51127, 50456, 53472, 51006, 50462, 52650, 51470, 50468, 53267, 51470, 50474, 52697, 52048, 51182, 51591, 51540, 63950, 51006, 50415, 52481, 62976, 56265, 57104, 52315, 50867, 54649, 51097, 53453, 52025, 52650, 52188, 50432, 51201, 51121, 50437, 52155, 52766, 52714, 51253, 52915, 54836, 53118, 52188, 51284, 50943, 50449, 52481, 77307, 63950, 51006, 51182, 51295, 50456, 56265, 51006, 50460, 53453, 52025, 50461, 52315, 50867, 54649, 51134, 50462, 52650, 51576, 50468, 51201, 51177, 50473, 52155, 50829, 52915, 52025, 50474, 52714, 50981, 53118, 51576, 50475, 51284, 51003, 51540, 52202, 51253, 52278, 50995, 53013, 53697, 70164, 51824, 52776, 51218, 52776, 51535, 51182, 64691, 60131, 65933, 55228, 76103, 57215, 70448, 53472, 69655, 52650, 64533, 54029, 52378, 50462, 51088, 51333, 50474, 52182, 51480, 51088, 52048, 51154, 51108, 51540, 59861, 51824, 51426, 51381, 51299, 51047, 51093, 51447, 51299, 51662, 50415, 51752, 62976, 55228, 51824, 50426, 53715, 65252, 54969, 51376, 50437, 52161, 56389, 52650, 56615, 51395, 51097, 50448, 51638, 51145, 50449, 51565, 66563, 56265, 51824, 51182, 51145, 51638, 51592, 50456, 52650, 51824, 50462, 53715, 51470, 50468, 54969, 51376, 50473, 51827, 50807, 51394, 50943, 50474, 52650, 53957, 51540, 52604, 51364, 59862, 51470, 51488, 51218, 51905, 51218, 52316, 51148, 52316, 52140, 50420, 56837, 74907, 53118, 51376, 50431, 51673, 62109, 53267, 52192, 51093, 54233, 51827, 51159, 54361, 54836, 51165, 50943, 50449, 51673, 51218, 51699, 51244, 50450, 55228, 51006, 51093, 51127, 51699, 52431, 50456, 53715, 51006, 50462, 53748, 51006, 50468, 53267, 52192, 50474, 51752, 51790, 52566, 56615, 51165, 50914, 51540, 56456, 51470, 52907, 51127, 51113, 51145, 50415, 51887, 51627, 50420, 53715, 74907, 54969, 52136, 51426, 51333, 51299, 51108, 50431, 52202, 50892, 50437, 51596, 50981, 51375, 56692, 51426, 51709, 51375, 51108, 50449, 51752, 51318, 51699, 51080, 52776, 51047, 51088, 77307, 55228, 77403, 53472, 51470, 50461, 51154, 51108, 51251, 51961, 50462, 53118, 52136, 50467, 52202, 51328, 50473, 51154, 51074, 51088, 51797, 50474, 52161, 51097, 51357, 50995, 51540, 51752, 51243, 59861, 52192, 51088, 51330, 52143, 51535, 52143, 51314, 51093, 51243, 50415, 51426, 74606, 55228, 52192, 50426, 54969, 52192, 50432, 53715, 51824, 50438, 54969, 51824, 50444, 52650, 51824, 50450, 59861, 51824, 50456, 55228, 51470, 50462, 53748, 51470, 50468, 53715, 51470, 50474, 53748, 51376, 50480, 52650, 51376, 51540, 52566, 52378, 51266, 51295, 51088, 51080, 51883, 52431, 51093, 53413, 50432, 51093, 53264, 51107, 78024, 51491, 50932, 50449, 51395, 51310, 52316, 52140, 50451, 51154, 51080, 50467, 51201, 50905, 50473, 51600, 51097, 50474, 51426, 51108, 51540, 51182, 51477, 52602, 51103, 51165, 51080, 51251, 52140, 51638, 53849, 50431, 51629, 51277, 50437, 51375, 61417, 51394, 51108, 50449, 52481, 51592, 50450, 51426, 51965, 51304, 51314, 54480, 51127, 51088, 53849, 50467, 51251, 51884, 50473, 51182, 51376, 51794, 51333, 51540, 51395, 51115, 51299, 51490, 51883, 51592, 50432, 51093, 72759, 51088, 51097, 51107, 57105, 51154, 51080, 52316, 51939, 50451, 51395, 51391, 51093, 51662, 50467, 51201, 51242, 50473, 51600, 51253, 50474, 51426, 51330, 51540, 51251, 51283, 51182, 51477, 51699, 51047, 51699, 54143, 50415, 51357, 51477, 50431, 51093, 50974, 51426, 51481, 50432, 51284, 56298, 51154, 51108, 51107, 51097, 50439, 51558, 51380, 50449, 51093, 51592, 50450, 52143, 51148, 51304, 51080, 51426, 52431, 50451, 52143, 51803, 51540, 52882, 51965, 56848, 52903, 51266, 51283, 51088, 51080, 51883, 51662, 53506, 61489, 50431, 51093, 75925, 52795, 51481, 50437, 51491, 51108, 51107, 51097, 50439, 52494, 58959, 53042, 51283, 51395, 51477, 51154, 51314, 50451, 52316, 51677, 50467, 52307, 51242, 51201, 51328, 50473, 51600, 51097, 50474, 53839, 50995, 51426, 51330, 51540, 52203, 51310, 51900, 52528, 55705, 51127, 51182, 51080, 51251, 52431, 51638, 51677, 50415 ]
[ 0, 713, 748, 1879, 15525, 5175, 2214, 11, 163, 3694, 1575, 10, 13305, 816, 15352, 30054, 2301, 81, 10, 19983, 33215, 16739, 9, 274, 10431, 6, 381, 6, 8, 211, 4, 590, 10, 20889, 9, 24646, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 41, 20425, 648, 2829, 2933, 5466, 6, 442, 24, 10686, 13, 304, 11, 3541, 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 ]	[ 59626, 51220, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 51220, 51646, 51062, 51918, 51220, 51798, 51062, 51923, 51027, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61766, 51086, 58218, 51220, 58443, 51086, 50830, 51220, 54930, 67986, 50447, 50999, 58760, 58276, 51027, 54093, 51399, 50800, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 51220, 51646, 51062, 51918, 51220, 51798, 51062, 51923, 51027, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61766, 51086, 58218, 51220, 58443, 51086, 50830, 51220, 54930, 67986, 50447, 50999, 58760, 58276, 51027, 54093, 51399, 50800, 50796, 50796, 50796, 50796, 57126, 50800, 68631, 51787, 70419, 55728, 51114, 51835, 57213, 51086, 68339, 53471, 50899, 50800, 61783, 51146, 51620, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 68339, 53505, 50973, 51724, 68631, 51324, 54789, 51114, 51820, 57213, 51086, 68339, 53658, 50973, 51757, 68631, 51324, 55000, 51114, 51754, 57213, 51086, 68339, 54093, 61783, 50799, 58276, 51279, 55728, 50999, 51835, 57213, 51027, 66843, 53471, 50973, 51620, 58276, 51279, 54253, 50999, 51628, 57213, 51027, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 54789, 50951, 51820, 57213, 51026, 62352, 53658, 50899, 50800, 61783, 51146, 51757, 60003, 51214, 55000, 50951, 51754, 51086, 50800, 57213, 51220, 67027, 62352, 54093, 61783, 57126, 50800, 68631, 51787, 70419, 55728, 51114, 51835, 57213, 51086, 68339, 53471, 50899, 50800, 61783, 51146, 51620, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 68339, 53505, 50973, 51724, 68631, 51324, 54789, 51114, 51820, 57213, 51086, 68339, 53658, 50973, 51757, 68631, 51324, 55000, 51114, 51754, 57213, 51086, 68339, 54093, 61783, 50799, 58276, 51120, 55728, 50999, 51835, 57213, 50899, 56931, 53471, 50973, 51620, 58276, 51120, 54253, 50999, 51628, 57213, 50899, 56931, 53505, 50973, 51724, 51086, 50800, 73578, 73578, 51315, 54789, 51220, 51820, 57213, 50916, 57341, 53658, 50899, 50800, 61783, 51146, 51757, 73578, 51315, 55000, 51220, 51754, 57031, 57213, 51487, 59065, 57341, 54093, 61783, 57126, 50800, 68631, 51787, 70419, 55728, 51114, 51835, 57213, 51086, 68339, 53471, 50899, 50800, 61783, 51146, 51620, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 68339, 53505, 50973, 51724, 68631, 51324, 54789, 51114, 51820, 57213, 51086, 68339, 53658, 50973, 51757, 68631, 51324, 55000, 51114, 51754, 57213, 51086, 68339, 54093, 61783, 50799, 58276, 51279, 55728, 50999, 51835, 57213, 51027, 66843, 53471, 50973, 51620, 58276, 51279, 54253, 50999, 51628, 57213, 51027, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 54789, 50951, 51820, 57213, 51026, 62352, 53658, 50899, 50800, 61783, 51146, 51757, 60003, 51214, 55000, 50951, 51754, 51086, 50800, 57213, 51220, 67027, 62352, 54093, 61783, 57542, 50800, 60003, 51220, 53504, 50951, 51835, 57213, 51086, 53471, 50899, 50800, 61783, 51146, 51620, 50951, 52765, 50951, 51628, 57031, 57213, 51487, 75008, 53505, 50973, 51724, 50951, 52831, 50951, 51820, 51086, 50800, 57213, 73578, 51040, 53658, 50973, 51757, 50899, 50800, 60003, 51146, 52809, 50951, 51754, 57031, 57213, 51487, 77099, 54093, 61783, 57126, 50800, 68631, 51787, 53504, 51114, 51835, 57213, 50899, 53471, 51040, 50800, 57579, 51399, 51620, 51114, 52765, 51114, 51628, 51027, 50800, 57213, 58276, 50899, 53505, 50877, 51724, 50968, 52831, 50968, 51820, 51027, 50800, 67243, 58276, 51040, 53658, 50877, 51757, 51040, 50800, 61097, 51399, 52809, 50968, 51754, 68134, 67243, 51430, 75008, 54093, 57579, 57126, 50800, 68631, 51787, 70419, 66107, 55177, 50417, 51114, 51835, 57213, 51086, 53106, 51086, 68339, 53471, 50899, 50800, 61783, 69784, 51114, 55177, 50426, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 53106, 51086, 68339, 56190, 76366, 50973, 51724, 68631, 51086, 58576, 51324, 54789, 50973, 50359, 50826, 50322, 51820, 50973, 50359, 50826, 50318, 75008, 68339, 53658, 61783, 51114, 55084, 50450, 68631, 51324, 66107, 57826, 50453, 51114, 51754, 57213, 51086, 68339, 67026, 57826, 50459, 61783, 54852, 50800, 58276, 51814, 67858, 74213, 50359, 50398, 79578, 51835, 57213, 51027, 58576, 51027, 66843, 53471, 68134, 61783, 51430, 79594, 78407, 50426, 58276, 51027, 58576, 51279, 54253, 50999, 51628, 51040, 50800, 57213, 51399, 79594, 50359, 50842, 50301, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 66107, 50359, 50398, 50441, 50951, 51820, 57213, 51026, 58576, 51026, 62352, 53658, 50899, 50800, 61783, 69784, 50951, 50359, 50397, 50450, 60003, 51026, 58576, 51214, 55000, 50951, 51754, 51086, 50800, 57213, 51220, 67027, 62352, 57022, 57826, 50459, 61783, 57126, 50800, 68631, 51787, 70419, 66107, 50359, 50398, 50417, 51114, 51835, 57213, 51086, 58576, 51086, 68339, 53471, 50899, 50800, 61783, 69784, 51114, 50359, 50398, 50426, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 58576, 51086, 68339, 56190, 57826, 50435, 50973, 51724, 68631, 51086, 58576, 51324, 54789, 50973, 50359, 50826, 50322, 51820, 50973, 67022, 50318, 75008, 68339, 53658, 61783, 51114, 52794, 50450, 68631, 51324, 66107, 54691, 50453, 51114, 51754, 57213, 51086, 68339, 67026, 54691, 50459, 61783, 54852, 50800, 58276, 51814, 50800, 51120, 74213, 74553, 79578, 51835, 57213, 50899, 56373, 50899, 56931, 53471, 68134, 61783, 51430, 79594, 72464, 50426, 58276, 50899, 56373, 51120, 54253, 50999, 51628, 51040, 50800, 57213, 51399, 79594, 50360, 50842, 50306, 56931, 53505, 50973, 51724, 51086, 50800, 73578, 73578, 51315, 66107, 72464, 50441, 51220, 51820, 57213, 50916, 56373, 50916, 57341, 53658, 50899, 50800, 61783, 69784, 51220, 72464, 50450, 51220, 59065, 56373, 51315, 55000, 51220, 51754, 51220, 67022, 50311, 50800, 57213, 51487, 59065, 57341, 54093, 51399, 67022, 50315, 50800, 57126, 50800, 68631, 51787, 70419, 66107, 63070, 50417, 51114, 51835, 57213, 51086, 56373, 51086, 68339, 53471, 50899, 50800, 61783, 69784, 51114, 63070, 50426, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 56373, 51086, 68339, 56190, 54691, 50435, 50973, 51724, 68631, 51086, 56373, 51324, 54789, 50973, 67022, 50322, 51820, 50973, 67022, 50318, 75008, 68339, 53658, 61783, 51114, 52462, 50450, 68631, 51324, 66107, 53306, 50453, 51114, 51754, 57213, 51086, 68339, 67026, 53306, 50459, 61783, 54852, 50800, 58276, 51814, 67858, 74213, 65988, 79578, 51835, 57213, 51027, 54618, 51027, 66843, 53471, 68134, 61783, 51430, 79594, 65330, 50426, 58276, 51027, 54618, 51279, 54253, 50999, 51628, 51040, 50800, 57213, 51399, 79594, 50361, 50842, 50301, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 66107, 65988, 50441, 50951, 51820, 57213, 51026, 54618, 51026, 62352 ]
[ 0, 250, 5679, 26709, 8, 19448, 25771, 2214, 19, 4785, 9, 1365, 6288, 6, 4246, 10, 16867, 6, 30062, 620, 7085, 12280, 642, 6, 6168, 3540, 6, 8, 38668, 11212, 4, 20, 33301, 30853, 5764, 11, 211, 3694, 23, 3620, 13410, 228, 2289, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 83, 6, 211, 6, 83, 6, 8, 381, 3639, 41, 3722, 5581, 7, 42, 822, 12, 3341, 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 ]	[ 57528, 66243, 60131, 51103, 60131, 51103, 50435, 55039, 51397, 55039, 51397, 50438, 53472, 50917, 53472, 50917, 50442, 55052, 50925, 55052, 50925, 50445, 52650, 51162, 52650, 51162, 50455, 55052, 51212, 55052, 51212, 50459, 60131, 50918, 60131, 50918, 50461, 55039, 51472, 55039, 51472, 52177, 53472, 50910, 53472, 62714, 55052, 50925, 55052, 65647, 52650, 51267, 52650, 51267, 50433, 55052, 51233, 55052, 51233, 50437, 60131, 51077, 60131, 51077, 50440, 55039, 51291, 55039, 51291, 50443, 53472, 50866, 53472, 59957, 55052, 50959, 55052, 50959, 50451, 52650, 51363, 52650, 51363, 50459, 55052, 51121, 55052, 51121, 51601, 60131, 51336, 60131, 51336, 50418, 55039, 51472, 55039, 51472, 50421, 53472, 50897, 53472, 50897, 50424, 55052, 50925, 55052, 50925, 50428, 52650, 51112, 52650, 51112, 50437, 55052, 50812, 55052, 75804, 55228, 51661, 55228, 51661, 50441, 64618, 51677, 50444, 53472, 51472, 53472, 51472, 50447, 52650, 50910, 52650, 57006, 54029, 50833, 54029, 58229, 54361, 51346, 54361, 51346, 50799, 54029, 50878, 54029, 64625, 55228, 51336, 55228, 79963, 53472, 51291, 53472, 51291, 50423, 52650, 50925, 52650, 57499, 54029, 50925, 54029, 77840, 54361, 51255, 54361, 51255, 50430, 63844, 51328, 50436, 62367, 51242, 50439, 54029, 50878, 54029, 66479, 60131, 51356, 60131, 51356, 50443, 63844, 53233, 50445, 55039, 51446, 55039, 51446, 50448, 53472, 50910, 53472, 50910, 50451, 55052, 50942, 55052, 73900, 59247, 51159, 50455, 52650, 51253, 52650, 51253, 51809, 55052, 50892, 55052, 50892, 61779, 50866, 50419, 60131, 50918, 60131, 54994, 61837, 51486, 50422, 55039, 51291, 55039, 51291, 50425, 53472, 50897, 53472, 75027, 55052, 50854, 55052, 66113, 52650, 50915, 52650, 50915, 50440, 55052, 50810, 55052, 53103, 70563, 51291, 70563, 51291, 50447, 61534, 51291, 61534, 51291, 50450, 55039, 50849, 55039, 60976, 56837, 50810, 56837, 52863, 53472, 51124, 53472, 51124, 63844, 50995, 64436, 51692, 52177, 56837, 50845, 56837, 50845, 50419, 64618, 60392, 70563, 51291, 70563, 51291, 50422, 63844, 51422, 50423, 61534, 50983, 61534, 59492, 55039, 50897, 55039, 77554, 56837, 50810, 56837, 58645, 53472, 51124, 53472, 51124, 50442, 56837, 50854, 56837, 73048, 60131, 51446, 60131, 51446, 61837, 51036, 50447, 55039, 51291, 55039, 51291, 50451, 53472, 50977, 53472, 77462, 55052, 50800, 55052, 51754, 52650, 51162, 52650, 51162, 50457, 63844, 51534, 52177, 64618, 51210, 50418, 55052, 51412, 55052, 51412, 50421, 60131, 51127, 60131, 51127, 63844, 52140, 50424, 55039, 51413, 55039, 51413, 50427, 53472, 50845, 53472, 72416, 55052, 50827, 55052, 63221, 52650, 51380, 52650, 51380, 50443, 55052, 50942, 55052, 69775, 60131, 50918, 60131, 50918, 50449, 55039, 51661, 55039, 51661, 50451, 61837, 51158, 50452, 53472, 50952, 53472, 50952, 52614, 53010, 50455, 55052, 50800, 55052, 59747, 64436, 51124, 50458, 52650, 51048, 52650, 51048, 69533, 54573, 52203, 51166, 51601, 53839, 52063, 50418, 61264, 50987, 50419, 55052, 51178, 55052, 51178, 50421, 52882, 52518, 50422, 60131, 51472, 60131, 51472, 50729, 50317, 51111, 50425, 55039, 51472, 55039, 51472, 50428, 53472, 50830, 53472, 50830, 61264, 50845, 52494, 54298, 50431, 55052, 50925, 55052, 79939, 54568, 53697, 50434, 52650, 51346, 52650, 51346, 72189, 51417, 50443, 52494, 62622, 55052, 50833, 55052, 50833, 62367, 62182, 55228, 51417, 55228, 51417, 54568, 52056, 50447, 63844, 51333, 50449, 53472, 51413, 53472, 51413, 50452, 52650, 50830, 52650, 64870, 61837, 50924, 50455, 54029, 50827, 54029, 50827, 54577, 55086, 50458, 54361, 51345, 54361, 51345, 64436, 62355, 64618, 52528, 52177, 61837, 50795, 50419, 54029, 51095, 54029, 73963, 55228, 51661, 55228, 51661, 61264, 51013, 50425, 53472, 51141, 53472, 51141, 50428, 52650, 50940, 52650, 50940, 50431, 54029, 50808, 54029, 59979, 54361, 51013, 54361, 51013, 64618, 50915, 50729, 50317, 51116, 50442, 50729, 50315, 50910, 50443, 54029, 50833, 54029, 64661, 60131, 51661, 60131, 51661, 63844, 51592, 72189, 51696, 54019, 54557, 50447, 63844, 51939, 50449, 55039, 51141, 55039, 51141, 50452, 53472, 50937, 53472, 50937, 50455, 55052, 50833, 55052, 63569, 52650, 51159, 52650, 51159, 52478, 55052, 51212, 55052, 51212, 50419, 54577, 52167, 50421, 60131, 51291, 60131, 51291, 54568, 51166, 50424, 55039, 51141, 55039, 51141, 50427, 53472, 50910, 53472, 50910, 52494, 51387, 50429, 55052, 50833, 55052, 60462, 52650, 50914, 52650, 50914, 62367, 50974, 62367, 51277, 52882, 52482, 50439, 69533, 50838, 69533, 51753, 50441, 53839, 51365, 50442, 55052, 50925, 55052, 62063, 73730, 51445, 50445, 70563, 51661, 70563, 51661, 73730, 51445, 52882, 65527, 50447, 61534, 51218, 61534, 51218, 50451, 55039, 50805, 55039, 50805, 72189, 51362, 50454, 56837, 50844, 56837, 66849, 53472, 50914, 53472, 50914, 52177, 56837, 51212, 56837, 51212, 50418, 50729, 50315, 61955, 70563, 51472, 70563, 51472, 50421, 50729, 50317, 51235, 50423, 61534, 50983, 61534, 59492, 55039, 50849, 55039, 60412, 56837, 50854, 56837, 65705, 61264, 53974, 53472, 51346, 53472, 51346, 50433, 64436, 51345, 50441, 56837, 50925, 56837, 50925, 50442, 61779, 54651, 60131, 51472, 60131, 51472, 61837, 51696, 50445, 63844, 54143, 63844, 54143, 50447, 55039, 51364, 55039, 51364, 50450, 53472, 50917, 53472, 50917, 50451, 52614, 77765, 55052, 50810, 55052, 52863, 52650, 51056, 52650, 51056, 52203, 52063, 50799, 55052, 51162, 55052, 51162, 53839, 53010, 50420, 60131, 51472, 60131, 51472, 52882, 74525, 55039, 51345, 55039, 51345, 50425, 52494, 52518, 50426, 53472, 50910, 53472, 50910, 50429, 55052, 50810, 55052, 52658, 52650, 50849, 52650, 50849, 54568, 51432, 50437, 52494, 58604, 55052, 50914, 55052, 50914, 50440, 54568, 51550, 50443, 52494, 77074, 55228, 51291, 55228, 51291, 50446, 53472, 51141, 53472, 51141, 50449, 59247, 65458, 52650, 50833, 52650, 50833, 50452, 54029, 50925, 54029, 50925, 50455, 52566, 51157, 52566, 51157, 61779, 51227, 54577, 51703, 50456, 63844, 52059, 50457, 63844, 51412, 50461, 54029, 51111, 54029, 51111, 51809, 61837, 50940, 50417, 64618, 51365, 64618, 51008, 50419, 64436, 70151, 55228, 51661, 55228, 51661, 63844, 51310, 50421, 63844, 51637, 50423, 53472, 51112, 53472, 51112, 50425, 52650, 50865, 52650, 50865, 61837, 50893, 50428, 54029, 50859, 54029, 67803, 52566, 51157, 52566, 51157, 61264, 51227, 54019, 53096, 50437, 54029, 50805, 54029, 52446, 62367, 51079, 62367, 51753, 50440, 50729, 50315, 50940, 54650, 51524, 50443, 60131, 51413, 60131, 51413, 72189, 53073, 54019, 54557, 50444, 69533, 52062, 50445, 69533, 54171, 50446, 55039, 51295, 55039, 51295, 50449, 53472, 50937, 53472, 50937, 50451, 55052, 50812, 55052, 64848, 52650, 51312, 52650, 51312, 50461, 55052, 50873, 55052, 50873, 51809, 70563, 51661, 70563, 51661, 50418, 54019, 55812, 50419, 61534, 51295, 61534, 51295, 50422, 55039, 50845, 55039, 69115, 56837, 50810, 56837, 75322, 53472, 51121, 53472, 51121, 50434, 56837, 50873, 56837, 60698, 54650, 53313, 50436, 73730, 51481, 50437, 73730, 52192, 50440, 60131, 51291, 60131, 51291, 61616, 52503, 50441, 69533, 52727, 50442, 55039, 50983, 55039, 50983, 69533, 52335, 50445, 53472, 50910, 53472, 50910, 50448, 55052, 50810, 55052, 77635, 52650, 51753, 52650, 51753, 50457, 55052, 51203, 55052, 51203, 51601, 60131, 51417, 60131, 51417, 50418, 55039 ]
[ 0, 713, 14899, 3495, 3152, 2214, 16, 10, 15352, 30054, 8, 33558, 15229, 4, 85, 1575, 10, 20902, 11739, 9, 13305, 6, 3152, 6757, 6, 81, 9756, 8, 21979, 29589, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 1769, 20889, 9, 20598, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 230, 6, 274, 6, 8, 272, 4620, 5, 46336, 24456, 9, 42, 20425, 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 ]	[ 56236, 52591, 53824, 56519, 51478, 51653, 50438, 52106, 57565, 51839, 51735, 50456, 52856, 51010, 50799, 52074, 57606, 52074, 51505, 50804, 57480, 51497, 51138, 52705, 53120, 54056, 51856, 56896, 51347, 51505, 50770, 50308, 51452, 52705, 53183, 52444, 52074, 56421, 60159, 51497, 51505, 52705, 53183, 52555, 51856, 51505, 50804, 57701, 51497, 52512, 52705, 53183, 50809, 62673, 52017, 51119, 52017, 51153, 51469, 51435, 50894, 51837, 50882, 52709, 50950, 50945, 51237, 52301, 54430, 51617, 54430, 52463, 54430, 55233, 50800, 54291, 52218, 52374, 69628, 50890, 51164, 51237, 51425, 50894, 51223, 50882, 51222, 50949, 51143, 56051, 51435, 50867, 51837, 50864, 52709, 50855, 55233, 50800, 54291, 51049, 50941, 51425, 72916, 50886, 51222, 50884, 51143, 52712, 51435, 50882, 51837, 50882, 52709, 56701, 52374, 50890, 51425, 60070, 50894, 51222, 51031, 51075, 54151, 51435, 50813, 51837, 50862, 52709, 50857, 75648, 55233, 50800, 54291, 52218, 51559, 50941, 51164, 50950, 51425, 50840, 64417, 51222, 50846, 51143, 53219, 51435, 50882, 51837, 50882, 52709, 50894, 50964, 51237, 62857, 50890, 51332, 51237, 51425, 50950, 51513, 50950, 51222, 51031, 51569, 55933, 51435, 50874, 51837, 50810, 52709, 50867, 55233, 50800, 54291, 51421, 50941, 51425, 50808, 51513, 50855, 51222, 50846, 51569, 53083, 51435, 50882, 51837, 50882, 52709, 56701, 52374, 50890, 51425, 60070, 50894, 51222, 51031, 51075, 54210, 51435, 50857, 51837, 50862, 52709, 50839, 74442, 55233, 50865, 54291, 53710, 50941, 51332, 51138, 51425, 50950, 51223, 50894, 51222, 51031, 51143, 50949, 62673, 51496, 51119, 51496, 51153, 51274, 52381, 51388, 51837, 68052, 51237, 55233, 50809, 54291, 52773, 52374, 50890, 51164, 74983, 51578, 50865, 55233, 50800, 54291, 51421, 50941, 51425, 50882, 51223, 50858, 51222, 50961, 51143, 53516, 51948, 50858, 52353, 52997, 52374, 50890, 51425, 50894, 51195, 50882, 51222, 50949, 51075, 54562, 52381, 50821, 51837, 50800, 51325, 51138, 55233, 50809, 54291, 52773, 51559, 50941, 51396, 51138, 78709, 74600, 51222, 50884, 51143, 54986, 51578, 52841, 51837, 51413, 75344, 62857, 50890, 50946, 51012, 70451, 51513, 50894, 51222, 50883, 51569, 69431, 51578, 51413, 50442, 51435, 51241, 50444, 51153, 51158, 50945, 51012, 55233, 50800, 54291, 51421, 50941, 51164, 51012, 51425, 50859, 51513, 50858, 51222, 50884, 51569, 53595, 50927, 56421, 52374, 50890, 51171, 51012, 51425, 50962, 51195, 50880, 51222, 50949, 51075, 57905, 51119, 67840, 51153, 51030, 74442, 55233, 51060, 54291, 53710, 50941, 51332, 51138, 51425, 50962, 51223, 50894, 51222, 50949, 51143, 50949, 62673, 56736, 51308, 52149, 51275, 53090, 51435, 50858, 51948, 50858, 52709, 50882, 51096, 51237, 51914, 54430, 52317, 54430, 57101, 50830, 54291, 52218, 52374, 50890, 52021, 51237, 51436, 50894, 51262, 50882, 51348, 50949, 51344, 56051, 51435, 50867, 51948, 50813, 52709, 50836, 57101, 50800, 54291, 51421, 75822, 50859, 51262, 50886, 51348, 50884, 51344, 52712, 51435, 50858, 51948, 50858, 52709, 54627, 52374, 50890, 51436, 56906, 50894, 51348, 51031, 51211, 54151, 51435, 50941, 51948, 50874, 52709, 50813, 51096, 51012, 57101, 50800, 54291, 52773, 51559, 50941, 52021, 51012, 51436, 50840, 78483, 69213, 51344, 53219, 76815, 51948, 50808, 52709, 50821, 50945, 51745, 62857, 50890, 51164, 51745, 51436, 50950, 51781, 50950, 51348, 51031, 51849, 55933, 51435, 50851, 51948, 50904, 52709, 50857, 57101, 50800, 54291, 51049, 75822, 50808, 51781, 50855, 69213, 51849, 53083, 51435, 50940, 51948, 50893, 52709, 57361, 52374, 50890, 51436, 56906, 50894, 51348, 51031, 51211, 54210, 51435, 51346, 50945, 51012, 57101, 50795, 54291, 51370, 50941, 51164, 51012, 51436, 50950, 51262, 50894, 51348, 51031, 51344, 57841, 51948, 51060, 50799, 52353, 51033, 51096, 51237, 57101, 50800, 54291, 52773, 52374, 50890, 52021, 74983, 51435, 50833, 51948, 50808, 53629, 50859, 57101, 50800, 54291, 51421, 75822, 50882, 51262, 50858, 51348, 50961, 51344, 53516, 51435, 50836, 51948, 50800, 52778, 53474, 52374, 50890, 51436, 50894, 51250, 50882, 51348, 50949, 51211, 54562, 51435, 51016, 51948, 51167, 52709, 52311, 51228, 51012, 57101, 50800, 54291, 52218, 51559, 50941, 52540, 51012, 51436, 50887, 51262, 50840, 51348, 50884, 51344, 53442, 51275, 51048, 50927, 51505, 62857, 50890, 51171, 51505, 51436, 50821, 51781, 50894, 51348, 50883, 51849, 54586, 51948, 51362, 51096, 51012, 57101, 50809, 54291, 51421, 50941, 52021, 51012, 51436, 50859, 51781, 50858, 51348, 50884, 51849, 53595, 51435, 51073, 51796, 51505, 50804, 52374, 50890, 55518, 51505, 51436, 50962, 51250, 50880, 51348, 50949, 51211, 53563, 51275, 50936, 51096, 51012, 57101, 50795, 54291, 53710, 50941, 52021, 51012, 51436, 50962, 51262, 50894, 51348, 50949, 51344, 50949, 66301, 53073, 51153, 52024, 51489, 54300, 51516, 50882, 51837, 50882, 53519, 50950, 50964, 51237, 52301, 54430, 51676, 54430, 52328, 54430, 53587, 50800, 53208, 52218, 52374, 50890, 51332, 51237, 51223, 50894, 51250, 50882, 51143, 50949, 51211, 56051, 51516, 50862, 51837, 50855, 53519, 50840, 53587, 50800, 53208, 51049, 77202, 50859, 51250, 50886, 51143, 50884, 51211, 52712, 51516, 51033, 51837, 50894, 53519, 56701, 52374, 50890, 51223, 67483, 50894, 51143, 51031, 51288, 54151, 51516, 50867, 51837, 50862, 53519, 50862, 74802, 53587, 50800, 53208, 52218, 51559, 50941, 51332, 51012, 74600, 51250, 50836, 76617, 51211, 53219, 51516, 50858, 51837, 50821, 53519, 50882, 50953, 51237, 62857, 50890, 50988, 51237, 51223, 50950, 51543, 50950, 51143, 51031, 51843, 55933, 51516, 50867, 51837, 50862, 53519, 50855, 53587, 50800, 53208, 51049, 77202, 50808, 51543, 50855, 76617, 51843, 53083, 51516, 50830, 51837, 50893, 53519, 68797, 52374, 50890, 51223, 67483, 50894, 51143, 51031, 51288, 54210, 51516, 51112, 71151, 53587, 50865, 53208, 53710, 50941, 50988, 51012, 51223, 56906, 50894, 51143, 51031, 51211, 57841, 51837, 51060, 50799, 53519, 51014, 50964, 51237, 53587, 50800, 53208, 52218, 52374, 50890, 51332, 74983, 51516, 50910, 51837, 50940, 54513, 50921, 53587, 50800, 53208, 51049, 77202, 50882, 51250, 50858, 51143, 50961, 51211, 53516, 51516, 50836, 51837, 50859, 52709, 53474, 52374, 50890, 51223, 50894, 51355, 50882, 51143, 50949, 51288, 54562, 51516, 51343, 51837, 51090, 52778, 50980, 51105, 51012, 53587, 50800, 53208, 52218, 51559, 50941, 51751, 51012, 72327, 77866, 51143, 50884, 51211, 53442, 51489, 51472, 51019, 51012, 62857, 50890, 51217, 51012, 51223, 50821, 51543, 50894, 51143, 50883, 51843, 54586, 52778, 51290, 50953, 51138, 53587, 50800, 53208, 51049, 50941, 50988, 51138, 51223, 50859, 51543, 50858, 51143, 50884, 51843, 53595, 51837, 50893, 51011, 51505, 50804, 52374, 50890, 50946, 51505, 51223, 50962, 51355, 50880, 51143, 50949, 51288, 53563, 51516, 50821, 71151, 53587, 50865, 53208, 52744, 50941, 50988, 51012, 51223, 50962, 51250, 50894, 51143, 50949, 51211, 50949, 62673, 52536, 51119, 51605, 51153, 51605, 51435, 50821, 51837, 50882, 52709, 50894, 50945, 51237, 51617, 52379, 52463, 52379, 55233, 50800, 54291, 52218, 52374, 50890, 51164, 51237, 51425, 50894, 51223, 50882, 51222, 50949, 51143, 56051, 51435, 50857, 51837, 50862, 52709, 50813, 55233, 50800, 54291, 51049, 50941, 51425, 72916, 50886, 51222, 50884, 51143, 52712, 51435, 51033, 51837, 51033, 52709 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 11, 381, 3694, 7630, 6568, 10, 8576, 9, 8597, 6, 31, 5, 2933, 8, 9066, 7, 5, 32076, 4, 20, 13305, 6, 2342, 4467, 6, 6755, 12547, 6, 8, 930, 2233, 45552, 833, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 26658, 149, 10, 33215, 13931, 9, 3676, 6, 163, 119, 6, 230, 6, 272, 6, 8, 230, 6, 6946, 7, 63, 36355, 2088, 7122, 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, 50438, 50627, 50799, 57374, 50806, 58997, 66645, 56079, 52247, 55906, 55224, 62527, 52322, 55319, 50806, 58749, 68249, 61186, 52610, 55906, 57024, 55076, 50806, 50799, 60586, 50806, 56318, 66645, 57374, 52247, 56079, 55224, 58997, 52322, 69726, 50806, 55076, 67114, 55319, 52610, 55906, 52931, 55319, 50806, 50799, 60586, 50806, 57118, 52774, 57374, 50806, 55076, 52247, 56079, 50806, 56318, 52309, 57374, 50806, 58997, 52322, 69726, 50806, 55076, 55451, 55319, 52610, 56079, 50806, 55906, 57024, 55319, 50806, 50799, 69333, 50806, 57118, 55419, 60586, 52247, 57374, 50806, 62527, 52309, 60586, 50806, 59584, 52322, 66573, 50806, 58749, 67114, 68474, 52610, 61186, 52931, 68474, 50806, 50799, 57374, 50806, 58997, 66645, 56079, 52247, 55906, 55224, 62527, 52322, 68474, 50806, 58749, 68249, 61186, 52610, 55906, 57024, 64495, 50806, 50799, 55319, 50806, 64495, 55419, 59678, 52247, 64258, 50806, 54779, 55224, 62527, 52322, 60586, 50806, 62527, 55451, 57374, 52610, 56079, 50896, 58997, 50896, 50799, 69333, 50806, 56318, 52774, 60586, 50806, 58749, 52247, 57374, 50806, 58997, 52309, 60586, 50806, 66076, 52322, 66573, 50806, 50661, 50336, 55451, 68474, 52610, 61186, 50806, 58749, 57024, 68474, 50806, 50799, 57374, 50806, 56318, 69097, 56079, 52247, 55906, 52309, 56079, 52322, 57374, 71771, 56079, 59779, 55906, 67106, 56318, 51285, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51026, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50861, 56277, 77916, 54197, 57442, 51274, 50417, 50877, 50983, 56945, 52247, 50900, 55224, 50876, 55246, 50876, 51646, 51085, 56294, 51196, 50441, 50861, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 57926, 58718, 50871, 52115, 51027, 56294, 54901, 50861, 51631, 50900, 57442, 57200, 50877, 51736, 51027, 56501, 55246, 50876, 51646, 51085, 56294, 69152, 50861, 53218, 51026, 52610, 50900, 59368, 70388, 50916, 53312, 51026, 50806, 54868, 57926, 66281, 50871, 53561, 51050, 52247, 51027, 62219, 57200, 50968, 51736, 51050, 58404, 55246, 50902, 51646, 51315, 58692, 51196, 50441, 50973, 56027, 51176, 52610, 51086, 52931, 51176, 50806, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51176, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50951, 56277, 50951, 50795, 54955, 62656, 66281, 50951, 53561, 50997, 52247, 50931, 59238, 69460, 50931, 51736, 50968, 55246, 50968, 51646, 51050, 62219, 69152, 50968, 53218, 51027, 52610, 50900, 62596, 70388, 50876, 50807, 54868, 57442, 58718, 50877, 52115, 51050, 58692, 54901, 50973, 51631, 51027, 56501, 57200, 50876, 51736, 51050, 65332, 55246, 50999, 51646, 51315, 72292, 69152, 51147, 53218, 51176, 52610, 51086, 58692, 70388, 50973, 53312, 51176, 50806, 56310, 57442, 51469, 50417, 50877, 51036, 53502, 52247, 50916, 52309, 50900, 52322, 50877, 52692, 50900, 52610, 50916, 50806, 73652, 51113, 73745, 51301, 50855, 51093, 62603, 51113, 50855, 51201, 54583, 50900, 50806, 76434, 51284, 60135, 51266, 50836, 51304, 61629, 51284, 50840, 51690, 50840, 56310, 50806, 51284, 51077, 51733, 51264, 51673, 50983, 53502, 52247, 50916, 55224, 52433, 51646, 51026, 50806, 51088, 51077, 52156, 60865, 51086, 52610, 50916, 57024, 51565, 50795, 54197, 50806, 51154, 51077, 51182, 51077, 51686, 50983, 56945, 52247, 50900, 55224, 51673, 51646, 51085, 50806, 51299, 51077, 51093, 53090, 51565, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 50806, 51154, 51077, 51606, 52115, 51027, 50806, 51565, 51631, 50900, 50806, 51686, 51736, 51027, 50806, 51673, 51646, 51085, 50806, 51299, 51077, 51565, 53218, 51026, 52610, 50900, 50806, 51789, 53312, 51026, 50806, 54868, 50806, 51201, 50889, 51251, 51077, 51606, 53561, 51050, 52247, 51027, 50806, 51182, 50805, 52433, 51736, 51050, 50806, 51284, 50805, 51886, 51646, 51315, 50806, 51301, 51077, 51629, 51077, 52156, 56027, 51176, 52610, 51086, 52931, 51176, 50806, 56310, 50806, 51113, 51077, 51733, 51077, 51673, 50983, 53502, 52247, 50916, 55224, 52433, 51646, 51176, 50806, 51384, 50889, 51375, 51077, 52156, 60865, 51086, 52610, 50916, 50896, 51733, 52961, 51384, 50805, 52367, 50795, 54955, 50806, 51088, 51077, 51394, 51077, 52367, 53561, 50997, 52247, 50899, 50896, 52171, 51736, 52433, 51646, 51050, 50806, 51154, 51077, 52487, 51077, 52433, 53218, 51027, 52610, 50900, 50896, 51673, 50807, 54868, 50806, 51251, 51077, 51284, 51077, 51686, 52115, 51050, 50806, 52156, 51631, 51027, 50806, 51673, 51736, 51050, 50806, 53297, 51646, 51315, 50806, 51733, 50889, 51301, 51077, 54051, 53218, 51176, 52610, 51086, 50806, 51629, 50889, 52156, 53312, 51176, 50806, 56310, 50806, 51113, 51264, 51284, 51264, 51686, 51036, 53502, 52247, 50916, 52309, 50900, 52322, 50877, 52692, 50900, 52610, 50916, 52931, 50900, 50806, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51026, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50861, 56277, 77916, 54197, 57442, 51274, 50417, 50877, 50983, 56945, 52247, 50900, 55224, 50876, 55246, 50876, 51646, 51085, 56294, 51196, 50441, 50861, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 57926, 58718, 50871, 52115, 51027, 56294, 54901, 50861, 51631, 50900, 57442, 57200, 50877, 51736, 51027, 56501, 55246, 50876, 51646, 51085, 56294, 69152, 50861, 53218, 51026, 52610, 50900, 59368, 70388, 50916, 53312, 51026, 50806, 54868, 57926, 66281, 50871, 53561, 51050, 52247, 51027, 62219, 57200, 50968, 51736, 51050, 58404, 55246, 50902, 51646, 51315, 58692, 51196, 50441, 50973, 56027, 51176, 52610, 51086, 52931, 51176, 50806, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51176, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50951, 56277, 50951, 50795, 54955, 62656, 66281, 50951, 53561, 50997, 52247, 50931, 59238, 69460, 50931, 51736, 50968, 55246, 50968, 51646, 51050, 62219, 69152, 50968, 53218, 51027, 52610, 50900, 62596, 70388, 50876, 50807, 54868, 57442, 58718, 50877, 52115, 51050, 58692, 54901, 50973, 51631, 51027, 56501, 57200, 50876, 51736, 51050, 65332, 55246, 50999, 51646, 51315, 72292, 69152, 51147, 53218, 51176, 52610, 51086, 58692, 70388, 50973, 53312, 51176, 50806, 56310, 57442, 51469, 50417, 50877, 51036, 53502, 52247, 50916, 52309, 50900, 52322, 50877, 52692, 50900, 52610, 50916, 50806, 73652, 51113, 73745, 51301, 50855, 51093, 62603, 51113, 50855, 51201, 54583, 50900, 50806, 76434, 51284, 60135, 51266, 50836, 51304, 61629, 51284, 50840, 51690, 50840, 56310, 50806, 51284, 51077, 51733, 51264, 51673, 50983, 53502, 52247, 50916, 55224, 52433, 51646, 51026, 50806, 51088, 51077, 52156, 60865, 51086, 52610, 50916, 57024, 51565, 50795, 54197, 50806, 51154, 51077, 51182, 51077, 51686, 50983, 56945, 52247, 50900, 55224, 51673, 51646, 51085, 50806, 51299, 51077, 51093, 53090, 51565, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 50806, 51154, 51077, 51606, 52115, 51027, 50806, 51565, 51631, 50900, 50806, 51686, 51736, 51027, 50806, 51673, 51646, 51085, 50806, 51299, 51077, 51565, 53218, 51026, 52610, 50900, 50806, 51789, 53312, 51026, 50806, 54868, 50806, 51201, 50889, 51251, 51077, 51606, 53561, 51050, 52247 ]
[ 0, 250, 2635, 12, 20764, 1619, 3495, 2214, 11, 211, 3694, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 3459, 9590, 6, 38668, 2236, 6, 8, 21072, 4, 590, 10, 86, 6543, 9, 132, 73, 306, 6, 24, 18, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 6, 381, 6, 83, 6, 211, 6, 8, 381, 4, 20, 2125, 7630, 6568, 10, 15352, 30054, 8, 1372, 5466, 6, 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, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50625, 51038, 67014, 51693, 51544, 51693, 50434, 72195, 50435, 50944, 50991, 50437, 68568, 50868, 51194, 50799, 51881, 51314, 52332, 51447, 50927, 51077, 50856, 52944, 50944, 66489, 50868, 66362, 52030, 50850, 62663, 50860, 51125, 50911, 55957, 57514, 53541, 51965, 51615, 76357, 50847, 56219, 51043, 50847, 51059, 50935, 51029, 51443, 51127, 50856, 53114, 50848, 73324, 50847, 51923, 50850, 51141, 51017, 51184, 50458, 52332, 52231, 50461, 53389, 52727, 51656, 51922, 52033, 51922, 57377, 51115, 50850, 51184, 51069, 51359, 50856, 52944, 50848, 53383, 50868, 57594, 53031, 52604, 50841, 52433, 63752, 51112, 50437, 52604, 59646, 52433, 50925, 50946, 51310, 50856, 62969, 51673, 55604, 51827, 67387, 51686, 50987, 50443, 51565, 50982, 52604, 52711, 52480, 50891, 76608, 72186, 57723, 52604, 50808, 51686, 52843, 50868, 54367, 64125, 51565, 58207, 51606, 59163, 52083, 50866, 51686, 57431, 63224, 58470, 56834, 51606, 50855, 51686, 51477, 52083, 52519, 50799, 51881, 51878, 52332, 51080, 50848, 58213, 52378, 50927, 51127, 51321, 52944, 63921, 51840, 63690, 52910, 51007, 51014, 67593, 50427, 51840, 54684, 51125, 51033, 51149, 50952, 71088, 55957, 57514, 51881, 51878, 51615, 51447, 50438, 50847, 56219, 51411, 50935, 51059, 51007, 51059, 50953, 51047, 50856, 53114, 59082, 50450, 57767, 50847, 59132, 65125, 50850, 61182, 51191, 73886, 50799, 53389, 52503, 51656, 52727, 52033, 51748, 51007, 50887, 57884, 50946, 51295, 50850, 51036, 51125, 52379, 51011, 51675, 51321, 52944, 55688, 51017, 58483, 50426, 51125, 57594, 53031, 50850, 57581, 50935, 51060, 79733, 50444, 50850, 50830, 51019, 56923, 53528, 51149, 51362, 50856, 52743, 60978, 51069, 74167, 54781, 50935, 51754, 63224, 51284, 51079, 50856, 56834, 52332, 51080, 51881, 52263, 57342, 50938, 52487, 55174, 50927, 50918, 51321, 52944, 50944, 69602, 68106, 51007, 61182, 51343, 50432, 50868, 59590, 50860, 51125, 54241, 50856, 57514, 51615, 51490, 51881, 51878, 50438, 67102, 50847, 51059, 50935, 51029, 51443, 51077, 50856, 53114, 50850, 60621, 55758, 50847, 58922, 51806, 50456, 70794, 51017, 51184, 50856, 54026, 73886, 50799, 53389, 52727, 52033, 51922, 51656, 51748, 50992, 50818, 50946, 51295, 50850, 51184, 51069, 51894, 51321, 52944, 50868, 53770, 50850, 77684, 64525, 55957, 57514, 51926, 52048, 50438, 64564, 50946, 69238, 53114, 51017, 65845, 52405, 54521, 50450, 50868, 72623, 51733, 52063, 50456, 50850, 51290, 51011, 57075, 54026, 51415, 56700, 56834, 52332, 51447, 51881, 52263, 51384, 51703, 57342, 50955, 51271, 51145, 51271, 51047, 51321, 52944, 50850, 59760, 50910, 51007, 67721, 51840, 51973, 57767, 51007, 62711, 69012, 51840, 68981, 61301, 51125, 50823, 51149, 79393, 51016, 50437, 51615, 51703, 51558, 52440, 50438, 51881, 51878, 61058, 50935, 51059, 51007, 51059, 50988, 51310, 50953, 51417, 50856, 52743, 50847, 80071, 75737, 50850, 54286, 54026, 50856, 56834, 51656, 51922, 53389, 51748, 52033, 51748, 50799, 52156, 50908, 51686, 50995, 50850, 51566, 51125, 51072, 50946, 50889, 51284, 73728, 51069, 51518, 51321, 52944, 51017, 56800, 52156, 51056, 50868, 58778, 51653, 51007, 63284, 51017, 50901, 50437, 51686, 50863, 52251, 52904, 51565, 50995, 50850, 51227, 51125, 51566, 51149, 51566, 50856, 53114, 51017, 58038, 52251, 50837, 51686, 50914, 50868, 51100, 51011, 62939, 51439, 51167, 51149, 71935, 51415, 53176, 51017, 50933, 51271, 62908, 51415, 55595, 56834, 51565, 59864, 52282, 50799, 51881, 52980, 52332, 52431, 52083, 51518, 67265, 51840, 51352, 51271, 51486, 69579, 51486, 56417, 51538, 52945, 51518, 55327, 51675, 51321, 52944, 50848, 55035, 50848, 62294, 54367, 53031, 50850, 51400, 50438, 61059, 50856, 53114, 50848, 50908, 50944, 61605, 53528, 50856, 57723, 51615, 52011, 51881, 51709, 53541, 52188, 51840, 50829, 51439, 51013, 67093, 59731, 51565, 51003, 50935, 51227, 78771, 51558, 51108, 51011, 50943, 53565, 51056, 55327, 51159, 53132, 51056, 51321, 53217, 50848, 71015, 54026, 50856, 56834, 53389, 56599, 51881, 53142, 52332, 52916, 50799, 52251, 50891, 51686, 51662, 50850, 51977, 51007, 51795, 51840, 51605, 51284, 54573, 50927, 51264, 69579, 51677, 56417, 51538, 55327, 51538, 52945, 51518, 51321, 52944, 50848, 52519, 59007, 51173, 51217, 74258, 50944, 67045, 52015, 50426, 50847, 51472, 74270, 50935, 54993, 51007, 51527, 50444, 50935, 54058, 51042, 51412, 74085, 51983, 57377, 69033, 51017, 64111, 70006, 80133, 74270, 51017, 50981, 50868, 56656, 51125, 52282, 50444, 50850, 55758, 50850, 67411, 60722, 50991, 51983, 50461, 51760, 51447, 57342, 52536, 53727, 67568, 50944, 68586, 71143, 74270, 50944, 51391, 50437, 52840, 60934, 51007, 51196, 55287, 51397, 50444, 50850, 68366, 50944, 50807, 51983, 50456, 50848, 57867, 52721, 51080, 63516, 56659, 51933, 50415, 53399, 51627, 50420, 50944, 51423, 50426, 71419, 74270, 50944, 51419, 50436, 52213, 52263, 50438, 51007, 52195, 52235, 51627, 50444, 50850, 64860, 50944, 51048, 51983, 64170, 51121, 51042, 53174, 51217, 51359, 60474, 51423, 50426, 73237, 74270, 50868, 71442, 50935, 51551, 50444, 50847, 54323, 73949, 51983, 50456, 74733, 63516, 51110, 50946, 51977, 50420, 59300, 51017, 52598, 50426, 50868, 51004, 50850, 51345, 74270, 50868, 60465, 50868, 51534, 51125, 51870, 50444, 50850, 68366, 50946, 50925, 63299, 51983, 50456, 50868, 51297, 50946, 61145, 51760, 51965, 63516, 58922, 51413, 53727, 51535, 50420, 50944, 76906, 50850, 50849, 74270, 51007, 50924, 50437, 52840, 53055, 50438, 72745, 51125, 51043, 69385, 55287, 77494, 50944, 72044, 59082, 73694, 51983, 50456, 67102, 75734, 50799, 64412, 50935, 51233, 50944, 51227, 51007, 51566, 51171, 51161, 52678, 51253, 50426, 50847, 51066, 51149, 51157, 51992, 50915, 62432, 50850, 51160, 51840, 51237, 52235, 51097, 52678, 65029, 50944, 51112, 51007, 79645, 58351, 53727, 51709, 50799, 52033, 51922, 51615, 51671, 74867, 50868, 51400, 51042, 64539, 50807, 51019, 51241, 51897, 75383, 54202, 50868, 68586, 59589, 50935, 55990, 51290, 53642, 52417, 77128, 51042, 50874, 59227, 65078, 64525, 51019, 56525, 53442, 64525, 77369, 74867, 51042, 51159, 51042, 72523, 51343, 51019, 51218, 51897, 52616, 50868, 51862, 50847, 54068, 54044, 50847, 65453, 50917, 73237, 50935, 51173, 60375, 52579, 62940, 70687, 74733, 51205, 75166, 52033, 52727, 51656, 51671, 59007, 51124, 50868, 51157, 50946, 51013, 71047, 51069, 51241, 51897, 52639, 50850, 59590, 51173, 50868, 51112, 53642, 52417, 50946, 50857, 50946, 50813, 66524, 50868, 51025, 51069, 57567, 53442, 51017, 50897, 50946, 55501, 51095, 71209, 51125, 51761, 51069, 51103, 51897, 52616, 67727, 50850, 62806, 54044, 64525, 50868, 50967, 74161, 60375, 52579, 50850, 75166, 52332, 58643, 51881, 58728, 63516, 51235, 51007, 51013, 62224, 50848, 72137, 51191, 51897, 52761, 50944, 52134, 50944, 51423, 50426, 51007, 53006, 51227, 75707, 53642, 52417, 50848, 59823, 58430, 50874, 66523, 50927, 57567, 53442, 50944, 63607, 50967, 50848, 51295, 50848, 51218, 50927, 51397, 51897, 52616, 50944, 72578, 53021, 54044, 50850, 56548, 51235, 51007, 51116, 60375, 52579, 51007, 51073, 50799, 64873, 79373, 62224, 59911, 50927, 51204, 51897, 52761, 50944, 57818, 50944, 59590, 51158, 50935, 51227, 53642, 52417, 50848, 62626, 57408, 50907, 51007, 51121, 50927, 53097, 53442, 70694, 59082, 50935, 57482, 51328, 50848, 51091 ]
[ 0, 713, 8787, 3495, 15229, 11, 2060, 538, 16, 17407, 30, 63, 15352, 30054, 2574, 8, 19448, 13569, 9862, 6, 7630, 14805, 10, 1472, 9, 657, 8, 11098, 4, 590, 10, 13305, 25, 5, 6922, 10320, 6, 5, 2125, 11498, 10, 231, 73, 398, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15900, 13410, 228, 2289, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 2060, 8, 12608, 406, 6, 8216, 7, 63, 32625, 8, 25306, 1318, 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 ]	[ 51540, 50630, 50965, 52431, 50448, 50861, 52482, 50449, 50906, 51637, 50466, 50876, 51679, 50467, 50965, 51074, 50468, 50989, 51074, 50480, 50871, 78502, 51797, 51028, 51542, 51474, 50421, 50900, 53535, 50319, 51477, 50422, 50965, 65668, 50931, 51380, 51040, 53697, 50965, 52011, 50471, 51028, 52845, 50300, 51748, 51081, 51775, 50472, 50916, 52598, 50906, 54344, 50861, 52011, 51474, 50422, 51147, 51801, 50423, 50871, 53142, 50965, 57232, 51028, 52528, 50485, 50989, 51637, 50965, 55086, 51540, 50876, 54573, 74413, 51679, 50443, 50956, 59781, 50956, 78697, 50965, 52431, 50459, 69119, 50876, 52431, 51114, 56329, 50463, 50956, 51330, 50477, 50899, 51961, 51474, 50416, 50956, 51637, 50431, 50965, 63712, 50432, 51028, 63712, 50871, 51283, 50448, 51040, 51680, 50478, 51176, 51376, 51474, 50417, 51176, 54249, 50482, 51503, 51592, 50483, 50965, 55597, 50900, 55586, 50484, 50989, 61164, 51474, 50442, 51234, 51419, 50443, 51040, 54228, 50457, 51085, 51477, 50458, 50956, 54344, 50470, 51360, 51391, 50473, 50871, 58090, 50483, 51197, 51679, 50484, 50900, 52441, 51474, 50425, 51040, 71445, 51381, 50458, 51040, 52056, 50459, 50997, 51318, 50861, 52263, 50460, 50916, 54521, 50479, 51040, 52829, 50480, 51176, 51801, 50965, 52528, 50481, 50871, 52916, 51474, 50473, 50965, 52169, 50317, 50972, 50474, 56963, 51474, 50416, 51001, 51242, 50417, 50965, 51008, 50989, 51058, 50434, 50965, 54532, 51028, 54557, 50931, 51749, 50472, 51503, 51172, 50473, 51001, 51172, 50989, 52518, 50474, 50965, 51824, 70814, 51360, 58643, 50421, 50931, 51803, 50422, 51028, 56458, 50965, 56329, 50461, 51028, 52048, 51176, 52440, 50462, 50871, 52518, 50965, 52063, 50483, 51040, 54557, 50871, 54228, 51028, 55002, 50484, 50965, 53280, 51474, 50468, 52759, 52644, 53684, 52821, 51360, 52644, 51399, 52821, 51474, 50430, 51147, 51380, 50973, 54590, 50317, 54848, 50447, 50951, 51534, 50448, 50906, 52454, 50317, 51380, 51474, 50424, 51028, 53478, 51399, 53487, 50425, 52759, 52644, 51360, 53849, 50457, 50989, 51806, 50458, 51027, 51645, 51040, 54344, 50476, 51176, 52136, 51040, 53577, 50477, 50871, 54211, 51474, 77431, 51642, 80237, 50438, 51081, 51803, 50906, 52783, 50455, 51503, 54143, 50456, 56539, 52919, 50481, 51147, 51524, 50482, 50965, 50912, 51474, 50416, 51176, 54228, 51040, 52407, 50871, 54344, 50417, 50965, 53866, 51147, 52140, 50437, 51026, 55586, 50997, 51703, 50916, 52147, 50461, 51147, 51051, 67364, 50468, 50965, 52980, 50469, 51147, 52783, 51474, 50416, 51503, 53478, 50442, 50965, 51365, 50443, 51147, 52946, 50451, 50997, 54126, 50299, 53280, 50916, 51797, 50965, 53866, 51147, 52980, 50473, 51378, 52147, 50900, 55002, 50956, 52440, 51474, 62144, 51142, 51147, 51210, 50433, 50965, 51210, 51147, 51254, 50462, 52759, 53295, 53684, 55428, 51360, 53295, 51399, 55428, 51474, 50424, 51147, 50878, 50425, 50973, 51123, 51028, 51123, 50431, 51028, 51542, 50432, 50973, 51283, 51147, 51134, 50453, 51028, 51637, 50454, 50906, 51637, 50951, 51542, 51474, 50440, 51028, 53753, 51399, 52121, 52759, 51243, 51360, 51449, 50474, 50989, 51008, 51040, 50933, 51027, 50933, 50481, 51027, 51199, 50482, 50989, 51775, 51040, 52034, 51474, 50440, 51176, 53126, 50305, 52025, 50441, 50871, 54228, 50464, 50871, 78063, 51174, 50468, 50989, 53131, 50322, 51006, 50472, 50861, 51481, 50474, 60299, 50478, 50965, 75855, 50978, 50482, 50999, 51058, 50483, 50877, 51697, 51474, 50416, 67939, 51062, 51172, 50440, 66768, 51081, 62077, 56539, 51134, 50447, 50906, 51637, 51081, 51310, 51503, 52256, 50480, 50965, 51142, 51147, 50851, 51540, 51176, 51381, 50415, 51040, 52519, 51147, 52528, 50871, 53164, 50312, 52916, 50435, 51026, 52598, 50997, 52263, 50916, 52263, 50459, 51147, 51051, 50965, 50907, 50466, 50965, 51490, 51147, 51703, 50483, 51503, 51775, 51474, 50435, 51147, 51365, 79944, 50442, 50965, 52916, 50443, 51147, 52916, 51026, 52034, 50997, 52059, 65827, 53096, 50465, 51378, 51592, 50900, 56329, 50956, 55776, 51474, 50417, 50965, 51365, 51147, 51365, 50425, 50965, 53486, 51147, 52980, 50446, 51360, 52019, 50281, 50915, 50469, 51028, 51309, 50476, 51050, 51576, 51040, 52056, 51081, 51742, 51086, 51738, 50477, 50906, 51680, 51474, 50423, 51040, 53866, 50424, 51026, 52980, 51315, 53866, 50447, 50965, 52415, 50324, 51174, 50455, 50951, 51535, 50861, 52212, 50472, 52759, 51619, 50293, 51330, 51474, 50423, 51114, 51058, 50431, 51360, 52460, 51176, 58483, 50956, 52482, 50989, 51452, 72144, 51114, 51894, 50451, 51040, 53486, 51176, 52440, 51360, 53486, 50476, 72301, 51028, 50978, 50477, 50931, 51008, 50482, 51114, 51351, 50483, 50989, 51411, 51474, 50428, 53492, 74685, 51411, 50429, 75248, 51234, 58194, 77204, 51001, 51051, 50460, 50900, 52378, 50956, 51680, 51001, 53413, 51085, 51381, 50861, 51080, 50481, 51234, 52980, 50997, 54829, 51474, 50433, 50956, 72215, 50861, 53529, 50317, 51022, 50439, 50956, 53486, 50861, 54829, 51028, 52598, 50458, 56539, 51619, 50288, 50981, 50481, 75105, 64041, 50956, 51210, 51474, 50416, 50956, 51490, 50989, 52783, 50876, 52783, 50417, 50997, 51712, 50290, 51534, 50434, 51503, 51293, 51176, 51592, 50457, 50989, 51365, 75475, 50458, 50965, 51123, 50463, 50900, 52048, 50464, 50965, 52048, 50989, 54836, 50481, 51360, 60138, 52415, 50317, 51101, 52759, 51619, 50305, 50959, 51474, 50435, 51086, 50959, 51040, 50959, 51147, 50844, 51399, 51142, 52128, 50878, 50973, 77376, 51399, 51183, 52128, 51103, 51086, 51337, 51040, 51337, 50973, 51423, 51147, 51452, 50460, 50997, 52168, 50906, 51680, 50461, 51040, 58468, 50484, 51487, 50878, 50485, 64075, 51474, 50422, 53684, 51183, 51399, 51183, 50440, 52759, 63939, 51360, 50981, 50465, 51027, 51962, 50305, 59035, 50933, 51399, 50851, 76615, 51787, 50925, 50472, 51787, 51183, 51114, 51803, 50473, 51399, 51145, 50474, 51040, 51419, 50877, 51328, 51027, 50933, 51474, 50417, 51176, 51412, 50418, 50965, 51480, 50442, 51399, 50874, 72310, 51339, 73311, 51399, 51310, 51147, 50878, 52128, 58332, 51114, 51134, 50451, 51787, 51091, 50471, 53492, 50915, 50472, 51234, 51911, 50329, 51391, 51339, 51134, 50931, 51115, 75196, 72147, 50900, 69667, 50933, 67108, 51399, 52169, 50331, 50978, 50433, 51399, 51680, 50876, 53130, 50328, 52096, 51001, 52168, 50434, 50951, 51314, 50900, 58248, 50906, 51080, 50997, 51680, 50477, 51001, 50851, 78561, 50478, 51399, 50907, 50483, 51001, 51680, 50951, 51080, 51399, 51447, 51474, 50428, 56539, 70583, 51503, 50915, 50454, 51062, 51592, 50455, 50997, 50959, 71650, 67108, 51114, 68752, 51001, 52783, 51114, 52168, 51062, 51243, 50462, 50997, 50987, 50463, 50906, 50866, 50480, 51176, 51742, 50965, 51148, 51474, 50433, 67176, 60714, 51147, 70327, 50876, 51679, 51114, 51381, 51147, 51679, 50459, 51028, 52363, 50321, 52415, 50329, 51233, 52759, 51043, 51360, 51337, 50485, 51220, 50812, 51540, 62680, 51086, 50854, 53117, 66179, 51086, 50955, 66737, 51220, 50854, 53117, 50942, 50440, 53117, 51608, 50327, 51191, 50441, 50973, 51091, 51086, 51189, 50476, 50906, 51309, 50481, 50973, 51412, 51474, 50416, 51028, 62149, 50956, 52140, 50871, 53801, 50965, 52140, 50973, 78240, 80152, 50433, 50973, 61868, 51028, 56532, 50973, 54746, 51028, 62924, 50973, 65780, 51028, 68384, 58383, 50461, 67563, 50464, 51028, 51697, 50468, 50973, 50987, 50474, 50965 ]
[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 5540, 13305, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 85, 7630, 6568, 10, 19448, 8, 8520, 5466, 6, 10686, 13, 304, 11, 3541, 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 ]	[ 54458, 50441, 50871, 52460, 55694, 52335, 50415, 51234, 54861, 50437, 51050, 61017, 50871, 55812, 55898, 64880, 50997, 60243, 69341, 50877, 51961, 50441, 66283, 50451, 50902, 51363, 50460, 50931, 50977, 56020, 51081, 51177, 50427, 51197, 51210, 50431, 50997, 51022, 50439, 51081, 51677, 50861, 52168, 50440, 50906, 58651, 66243, 50999, 51312, 50433, 50871, 53280, 50446, 50951, 52434, 50307, 51524, 50458, 50931, 50915, 50459, 50906, 56374, 50899, 52618, 50460, 50871, 59170, 51050, 56123, 56020, 51081, 60733, 50876, 51097, 50434, 50956, 54298, 50877, 53866, 80122, 56329, 51050, 54829, 50444, 50902, 51212, 50445, 50899, 52518, 50454, 51001, 51534, 50455, 50900, 52048, 52177, 50951, 57050, 76243, 50871, 52407, 50430, 50997, 55505, 50294, 52192, 50441, 50876, 68699, 51051, 50442, 51050, 51051, 50900, 52179, 50452, 50902, 51212, 50453, 50906, 52378, 50997, 52048, 50871, 60243, 50899, 54521, 51601, 50931, 63829, 50876, 52062, 78312, 53866, 50900, 53697, 50877, 54829, 51050, 52460, 62322, 52460, 50448, 51050, 52378, 50458, 51197, 53096, 52591, 50871, 51283, 50422, 51085, 54298, 50431, 51120, 51862, 50443, 50906, 52335, 50444, 51234, 51074, 51809, 50871, 54228, 50417, 51050, 62321, 50899, 76297, 50997, 53838, 50448, 50877, 51709, 50461, 70254, 57731, 50902, 51480, 77431, 64781, 51146, 72688, 51378, 51376, 50452, 50899, 62321, 50459, 51146, 51422, 50461, 50876, 53486, 50902, 54829, 50877, 51922, 50796, 50451, 51062, 51109, 51601, 51081, 51255, 50424, 50999, 51194, 50435, 51026, 55036, 50311, 56374, 50902, 54557, 51081, 51003, 50447, 51146, 69780, 50951, 50862, 52478, 51081, 68503, 52059, 50997, 51524, 50871, 52192, 50429, 50999, 51115, 50876, 51806, 50871, 52147, 78313, 51703, 50440, 50931, 50995, 50449, 50877, 58223, 51147, 50845, 50460, 50973, 78068, 54298, 50461, 50899, 54861, 60212, 50951, 50932, 50425, 50916, 53577, 50906, 54836, 50900, 54573, 50435, 50876, 51806, 50445, 50999, 50995, 64118, 54521, 50456, 50916, 51862, 50461, 63095, 52591, 50931, 52783, 50421, 50877, 56329, 50900, 53055, 50422, 51050, 51432, 50431, 51026, 51022, 50442, 51197, 54836, 50456, 50871, 51642, 51085, 51432, 57731, 50906, 51679, 50425, 51234, 51387, 50443, 50906, 66924, 51050, 65527, 50997, 61887, 50871, 54228, 55989, 58306, 59412, 50877, 51709, 50436, 50906, 51775, 50446, 50902, 51242, 50455, 58398, 51809, 51081, 51101, 50421, 51197, 51470, 56759, 73632, 51081, 51677, 73866, 52783, 50435, 50906, 53678, 60212, 50999, 51380, 50871, 51447, 50437, 50951, 51101, 50956, 51470, 50449, 50931, 55247, 50899, 54211, 50906, 59170, 50871, 71133, 50451, 51050, 52441, 50461, 75490, 57731, 50876, 51411, 50424, 50956, 78068, 55586, 50877, 55086, 50425, 51050, 53486, 50433, 50902, 51177, 50434, 50899, 51884, 50443, 51001, 51411, 55513, 52378, 50454, 50951, 50813, 53069, 50906, 51337, 55961, 52528, 50997, 51376, 50421, 51120, 51432, 50431, 50876, 59437, 53998, 50900, 52216, 50297, 51142, 50442, 50902, 50981, 50443, 50899, 51576, 50906, 52056, 50997, 52056, 50454, 50931, 50813, 52177, 50876, 51662, 50900, 52431, 50877, 52407, 50418, 50871, 54829, 51050, 51852, 50427, 51026, 52034, 50437, 51050, 51709, 50447, 51197, 52048, 50457, 77920, 50458, 51085, 54848, 52591, 51120, 51470, 63931, 51243, 50433, 51234, 51824, 50452, 50997, 55016, 50306, 76297, 50871, 54211, 51050, 66595, 50796, 50437, 50877, 61637, 50906, 52188, 50460, 50902, 51576, 56020, 50931, 61231, 51146, 51328, 50439, 51378, 52731, 50445, 50899, 64880, 50451, 51146, 53142, 50452, 50876, 55586, 50902, 56329, 50453, 50877, 60237, 50796, 50445, 51062, 51484, 50455, 51081, 51337, 52177, 50999, 51363, 50428, 51081, 70062, 52440, 50429, 50861, 60243, 50430, 51026, 74478, 50440, 51146, 51328, 50449, 50951, 57400, 51081, 50878, 51028, 51884, 50460, 50997, 55505, 50309, 51824, 56020, 50999, 51535, 50900, 52263, 72784, 53957, 50871, 52440, 77431, 50995, 50442, 50877, 55371, 51147, 51212, 50454, 50973, 74997, 53726, 50455, 50899, 51697, 53069, 50951, 51199, 53502, 55586, 50916, 53577, 50906, 53096, 50430, 78227, 50439, 50999, 66977, 50899, 53892, 59758, 51524, 50454, 63095, 50461, 50931, 51314, 54852, 52212, 50900, 52440, 51050, 51884, 50424, 51026, 63801, 51197, 54298, 50447, 50871, 51309, 50448, 51085, 52731, 50461, 50906, 52335, 54662, 61489, 50433, 50997, 58090, 50899, 50363, 50410, 51050, 76297, 50871, 55574, 51601, 50877, 51333, 50429, 50906, 51806, 50439, 77743, 50448, 50931, 63181, 51147, 62533, 51001, 77803, 52179, 51050, 50971, 60212, 51147, 51677, 51086, 53697, 50902, 54829, 50425, 51026, 53866, 50435, 50899, 54829, 50445, 50861, 55844, 50454, 50973, 51074, 51809, 50951, 51101, 50427, 50931, 51255, 50428, 51086, 54298, 50438, 51001, 51253, 50439, 50900, 55002, 50442, 50876, 69066, 50448, 50951, 51363, 50457, 57966, 53069, 50902, 51255, 50965, 52216, 50303, 53892, 60284, 52063, 50430, 51001, 51484, 50431, 50900, 52147, 50861, 52048, 51026, 52147, 50441, 50876, 51576, 62291, 51365, 50460, 50902, 51423, 50461, 51176, 53957, 50871, 51524, 57731, 50876, 52136, 50956, 56563, 50424, 51026, 52147, 50433, 50861, 52188, 55513, 51697, 75312, 51884, 51026, 54557, 50455, 50899, 52167, 50871, 51697, 52478, 50861, 51447, 50956, 63160, 50429, 50900, 55765, 50440, 51085, 51166, 50453, 50906, 51645, 50455, 51120, 51524, 55753, 51001, 51592, 50423, 52046, 52782, 50441, 50956, 60326, 50442, 50906, 54344, 50861, 66595, 50997, 66595, 57731, 50902, 51484, 50437, 51001, 51423, 50447, 50951, 51255, 50457, 75490, 52591, 51405, 51101, 50421, 51081, 64189, 52192, 63686, 51123, 50436, 51405, 51662, 50437, 50989, 52397, 55898, 56329, 50999, 63160, 50449, 50877, 54573, 50458, 50902, 51748, 52478, 51114, 50972, 50428, 51146, 51043, 50429, 50999, 55778, 50439, 51062, 51255, 50440, 50989, 55789, 50449, 51081, 51267, 56222, 54590, 50323, 52397, 50460, 51146, 51233, 55753, 50951, 64222, 50999, 51400, 51001, 53010, 50432, 50989, 58483, 50900, 51432, 50442, 51081, 51363, 50443, 50902, 52378, 50861, 53055, 50899, 52440, 50453, 50951, 51534, 51601, 76075, 50425, 50999, 73797, 52460, 56040, 55789, 50861, 56458, 50436, 50951, 51534, 50437, 50906, 52147, 50899, 53801, 50446, 50902, 51381, 72786, 51387, 52591, 77743, 50421, 50876, 51123, 50899, 56329, 50989, 56123, 63975, 51878, 50433, 50906, 53674, 73866, 52011, 50446, 50956, 55776, 50459, 50876, 51703, 50460, 50871, 52147, 50877, 61124, 50796, 50430, 51050, 55778, 50446, 56963, 50454, 50906, 52335, 50455, 51234, 61164, 50796, 53645, 59170, 50899, 50363, 50410, 50427, 51050, 50363, 50410, 50429, 50997, 56612, 50459, 50877, 51333, 60212, 50906, 52783, 50435, 50902, 51645, 50446, 50931, 58223, 51081, 50892, 51601, 51197, 51697, 50421, 50997, 70813, 51081, 52431, 50861, 51749, 50906, 76297, 56020, 79173, 50999, 52188, 50436, 50951, 77964, 51254, 50449, 50931, 51381, 50451, 50899, 53674, 50871, 55002, 50452, 51050, 56374, 51601, 51081, 52921, 50876, 51775, 50956, 53010, 73343, 56329, 50877, 55086, 51050, 52783, 50437, 50902, 51328, 50899, 52482, 50448, 51001, 51642, 50449, 50900, 53096, 50461, 50951, 50867, 55746, 50906, 51328, 73343, 53801, 50997, 59977, 50294, 51824, 50440, 50876, 68699, 60887, 51050, 50851, 50900, 51254, 50452, 50902, 51253, 50997, 53096, 50453, 50899, 52063, 50906, 53697, 51809, 50931, 63567, 50876 ]
[ 0, 250, 15352, 30054, 5175, 8, 3495, 1619, 2214, 14, 7630, 6568, 10, 1372, 8, 19448, 6711, 6, 4246, 10, 6755, 12547, 6, 1076, 560, 31365, 25999, 6, 21979, 8, 3459, 29589, 6, 8, 3459, 9590, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 6, 21437, 10, 33215, 16739, 9, 274, 6, 230, 6, 272, 6, 8, 230, 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 ]	[ 54458, 60212, 51567, 51486, 51855, 51352, 50459, 51722, 51095, 51813, 50975, 52478, 51567, 51110, 51855, 59216, 51722, 51162, 51813, 50993, 50433, 51584, 50889, 52088, 51059, 50447, 53169, 51795, 50448, 51584, 51538, 50796, 50442, 51722, 50914, 50443, 52679, 50914, 52456, 51066, 50457, 52679, 50943, 51722, 51191, 52456, 51059, 57731, 52088, 51059, 50424, 52123, 50943, 51584, 71380, 52041, 50943, 51555, 51346, 51813, 51059, 50452, 50945, 51091, 51783, 53259, 51584, 53259, 52088, 52442, 53552, 57319, 52093, 53069, 51011, 60194, 52437, 76997, 74600, 51262, 73472, 54218, 51187, 57398, 51133, 51204, 53552, 59797, 80190, 68541, 74600, 51262, 50846, 51355, 63865, 51271, 51111, 56208, 58464, 51133, 51370, 50818, 52354, 51091, 53552, 58158, 52093, 50428, 51011, 60194, 53593, 76997, 74600, 51262, 50818, 51355, 50840, 55935, 51187, 58829, 51133, 51091, 53552, 52396, 52093, 50457, 68541, 74600, 51262, 73472, 50840, 51271, 51111, 56208, 50818, 51809, 51032, 51060, 51133, 52201, 58423, 51788, 50859, 50945, 51091, 53552, 56999, 51788, 50859, 62246, 51788, 50800, 51011, 60194, 58500, 51788, 51060, 76997, 74600, 51262, 50818, 51355, 54472, 51187, 61425, 51032, 51112, 51133, 51204, 53552, 57319, 52093, 52478, 51265, 50808, 74600, 51262, 50818, 51355, 61923, 64921, 51271, 51111, 56208, 52437, 51032, 50859, 51133, 52201, 57201, 51788, 51345, 50945, 51091, 53552, 59797, 52093, 50448, 51788, 50800, 51011, 60194, 57109, 76997, 74600, 51262, 73472, 58014, 51788, 54047, 66069, 50799, 51563, 51091, 51133, 51204, 53552, 58158, 52093, 50428, 51438, 51294, 68541, 64417, 51262, 50846, 70099, 51271, 51116, 56208, 58024, 51133, 55744, 58431, 51292, 52382, 50964, 51091, 53552, 52396, 52093, 50457, 51019, 51204, 66079, 51809, 76910, 74600, 51350, 76409, 54218, 51187, 59095, 50953, 50889, 53552, 56999, 62246, 76910, 74600, 51350, 76409, 50840, 51011, 54416, 51187, 58500, 50953, 52201, 59671, 50964, 51091, 53552, 57319, 52093, 53069, 51019, 60194, 52437, 70310, 74600, 51350, 50887, 51250, 54499, 51187, 57398, 50953, 51091, 53552, 59797, 80190, 70310, 51223, 50818, 51350, 50884, 62594, 50448, 51011, 51626, 51187, 58464, 51032, 51060, 50953, 52201, 50818, 50799, 53019, 51227, 50964, 51091, 53552, 58158, 52093, 50428, 53019, 50859, 51019, 51204, 50791, 53593, 70310, 51223, 50846, 51350, 50884, 51250, 61385, 53019, 51158, 56208, 58829, 51788, 51362, 50953, 51204, 53552, 52396, 52093, 50457, 51563, 51091, 76910, 51223, 50846, 51350, 50887, 62594, 51011, 51111, 56208, 50818, 51809, 50953, 53710, 58423, 53019, 51345, 50964, 51091, 53552, 56999, 62246, 53019, 50859, 51019, 51204, 50791, 58500, 53019, 50859, 70310, 51223, 50818, 51350, 50884, 51250, 54499, 51187, 61425, 51788, 51294, 50953, 51204, 53552, 57319, 52093, 52478, 72826, 74600, 51350, 50818, 51250, 60400, 51563, 51362, 51011, 51060, 56208, 52437, 50953, 52201, 57201, 51032, 54454, 50945, 51091, 53552, 59797, 52093, 50448, 51011, 51204, 50791, 57109, 51265, 78103, 50809, 51262, 50884, 51355, 59310, 56208, 50828, 54272, 51204, 53552, 58158, 52093, 50428, 76997, 51223, 50846, 51262, 50818, 51355, 50840, 51271, 50938, 56208, 58024, 51133, 52201, 58431, 50945, 51091, 53552, 52396, 52093, 50457, 51011, 51204, 66079, 51809, 51265, 50809, 74600, 51262, 50884, 51355, 54218, 51187, 59095, 51133, 51091, 53552, 56999, 62246, 76997, 51223, 50846, 51262, 50884, 51355, 50840, 51271, 51060, 56208, 58500, 51032, 51060, 51133, 52201, 59671, 53729, 51345, 50945, 53305, 51239, 57319, 52093, 53069, 53729, 50859, 51011, 51204, 50791, 52437, 53729, 50859, 51265, 78103, 50818, 51262, 50884, 51355, 54499, 51187, 57398, 53019, 51362, 51133, 51204, 53552, 59797, 80190, 76997, 74600, 51262, 50884, 51355, 63865, 51788, 51158, 51271, 51060, 56208, 58464, 51788, 51158, 51133, 52201, 50818, 50799, 53729, 51112, 50945, 51091, 53552, 58158, 52093, 50428, 53729, 50800, 51011, 51204, 50791, 53593, 51265, 50809, 74600, 51262, 50884, 51355, 61300, 53729, 51158, 56208, 58829, 53019, 51294, 51133, 51204, 53552, 52396, 52093, 50457, 51788, 51294, 76997, 51223, 50809, 51262, 73472, 50840, 51271, 51111, 56208, 50818, 51809, 51133, 52201, 58423, 51067, 54454, 51186, 51294, 53552, 56999, 62246, 51271, 51204, 50791, 58500, 51436, 50809, 51195, 50840, 51262, 50884, 51543, 54499, 51187, 61425, 51720, 51091, 53552, 57319, 52093, 52478, 51436, 50809, 51195, 50809, 51262, 50884, 51543, 63244, 52018, 51111, 56208, 52437, 51720, 52201, 57201, 51186, 51204, 53552, 59797, 52093, 50448, 51438, 51362, 51271, 51204, 50791, 57109, 51436, 50840, 51195, 50809, 51262, 50895, 51543, 58464, 56208, 50828, 50799, 51563, 51294, 51720, 51091, 53552, 58158, 52093, 50428, 53019, 51294, 51436, 50840, 51195, 50809, 51262, 50818, 51543, 50809, 52018, 51346, 56208, 58024, 51720, 53710, 58431, 51788, 51158, 50945, 51091, 52233, 52919, 51821, 53651, 51701, 52919, 53552, 52396, 52866, 51158, 52093, 50457, 51788, 51060, 51011, 60194, 50818, 51809, 52866, 51111, 51265, 78103, 50818, 51262, 50895, 51355, 54499, 51187, 59095, 51788, 51060, 51133, 53305, 51239, 56999, 52866, 51060, 52093, 50437, 51265, 52444, 51788, 51294, 74600, 51262, 50887, 69660, 51271, 50991, 56208, 58500, 51133, 52201, 59671, 51032, 51358, 50964, 51091, 52091, 53233, 51678, 53380, 51716, 53753, 53552, 57319, 52093, 53069, 51019, 60194, 52437, 76910, 51223, 50846, 51350, 50818, 51250, 54212, 51187, 57398, 50953, 51204, 53552, 59797, 51292, 51173, 80190, 72826, 74600, 51350, 76409, 61190, 51563, 51091, 51011, 50967, 56208, 58464, 50953, 51370, 50818, 50799, 51438, 54454, 50945, 51091, 51821, 53651, 51701, 54143, 51716, 53487, 53552, 58158, 52093, 50428, 51011, 51204, 50791, 53593, 76997, 51223, 50818, 51262, 50884, 51355, 50840, 55935, 51187, 59117, 51299, 50921, 50443, 51133, 51204, 53552, 57000, 52065, 51757, 51299, 50936, 52093, 50454, 52065, 59747, 76997, 74600, 51262, 50884, 51355, 50840, 51271, 51095, 51299, 50921, 56208, 56904, 52065, 50830, 51809, 51133, 50910, 51299, 54196, 52432, 52065, 50830, 50424, 50964, 51091, 51299, 51014, 52091, 53651, 51678, 53753, 51716, 53380, 53552, 56171, 51794, 58656, 51299, 51541, 50431, 52093, 56903, 60194, 58500, 51223, 50818, 51350, 50884, 62594, 51368, 52467, 51187, 61425, 50953, 51091, 53552, 57319, 52093, 52478, 70310, 51223, 50818, 51350, 50884, 62594, 50419, 51011, 51060, 56208, 52437, 51032, 51060, 50953, 52201, 57201, 51788, 51227, 50945, 51091, 53552, 59797, 52093, 50448, 51788, 51294, 51011, 60194, 57109, 76997, 74600, 51262, 50818, 51355, 62267, 56208, 50828, 68892, 51345, 51133, 51204, 53552, 58158, 52093, 50428, 51032, 51345, 51265, 50808, 74600, 51262, 50818, 51355, 50828, 51271, 51111, 56208, 58024, 51133, 52201, 58431, 51788, 51345, 50945, 51091, 53552, 52396, 52093, 50457, 51788, 51343, 51011, 60194, 50818, 51809, 76997, 74600, 51262, 73472, 54212, 51187, 59095, 51133, 51204, 53552, 56999, 51563, 51158, 62246, 51438, 51294, 68541, 64417, 51262, 50846, 70099, 51271, 51116, 56208, 58500, 51133, 55744, 59671, 51292, 54454, 50964, 51091, 53552, 57319, 52093, 53069, 51019, 51204, 50791, 52437, 76910, 74600, 51350, 76409, 54218, 51187, 57398, 50953, 50889, 53552, 59797, 52093, 50448, 76910, 74600, 51350, 76409, 50840, 51011, 54416, 51187, 58464, 50953, 52201, 50818, 52534 ]
[ 0, 250, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 278, 11, 5, 762, 9, 381, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 4, 20, 15229, 16, 17407, 30, 10, 16331, 33215, 13931, 9, 274, 10431, 119, 406, 6, 272, 401, 6, 8, 381, 6, 6946, 7, 63, 20425, 648, 2829, 2933, 13569, 9862, 6, 150, 67, 7630, 14805, 10, 1472, 9, 11098, 8, 657, 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 ]	[ 56103, 51279, 56036, 55648, 51650, 55267, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 52848, 51324, 51626, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 51279, 51650, 52668, 52848, 51324, 56190, 61907, 51626, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 74780, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51626, 54024, 50804, 55446, 51279, 56036, 55648, 51650, 51779, 58910, 70864, 54504, 51324, 56190, 61907, 51626, 53300, 50804, 51628, 51279, 51626, 50803, 52594, 55381, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 51779, 70546, 70864, 50851, 54141, 50882, 52612, 51757, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 50803, 53061, 54403, 72850, 52198, 50803, 55547, 66843, 56036, 55648, 51650, 55267, 64991, 53066, 51279, 56036, 56036, 55648, 51650, 52668, 52710, 51324, 56036, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 56036, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 74780, 52229, 52668, 52163, 51279, 66843, 56036, 55648, 51650, 60267, 54594, 67858, 56036, 55648, 51650, 64991, 56624, 50861, 51835, 51279, 54828, 56036, 55648, 51650, 52668, 52710, 51324, 54828, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 56036, 51650, 51475, 52729, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 64991, 51820, 70819, 52848, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 52229, 52668, 52163, 50801, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 52831, 50804, 55920, 75057, 53187, 54672, 50801, 52229, 64824, 52229, 52668, 53532, 50801, 54403, 51279, 56036, 55648, 51650, 51740, 53255, 54421, 75057, 50800, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51740, 52668, 52729, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 64991, 51820, 70819, 52848, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 52229, 52668, 52163, 50801, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 74780, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 64991, 51820, 70819, 52848, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 52229, 52668, 52163, 50801, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 52831, 50804, 55920, 75057, 53187, 54672, 50801, 52229, 64824, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 51740, 53255, 54421, 75057, 50800, 55547, 56036, 55648, 51626, 59714, 52244, 51279, 56036, 55648, 51650, 54856, 51324, 56190, 61907, 51650, 52119, 51279, 51626, 58731, 52057, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 52284, 50801, 54988, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 56327, 50803, 54734, 51036, 51085, 59578, 51858, 55456, 52244, 51027, 50983, 56207, 51161, 50876, 51161, 50931, 51161, 50999, 68110, 54984, 74193, 51724, 51027, 55755, 51858, 64824, 54984, 51754, 50801, 50800, 53997, 51036, 51026, 59578, 51858, 51835, 50916, 50983, 54439, 51161, 50876, 51161, 50968, 51161, 50951, 68110, 54984, 74193, 55381, 50916, 66800, 51820, 50801, 52911, 50801, 64824, 54984, 51754, 50801, 50800, 54868, 51036, 51027, 59578, 51858, 51835, 50989, 50983, 56207, 51161, 50902, 51161, 51114, 51161, 50999, 68110, 54984, 74193, 51724, 50989, 55755, 51858, 51820, 50801, 50882, 51382, 54984, 51754, 50801, 50800, 55547, 51650, 51858, 51835, 51279, 51631, 51085, 54666, 51161, 50968, 51161, 50951, 51161, 51062, 68110, 54984, 51628, 51279, 51650, 55381, 51279, 52152, 51820, 51279, 51650, 52911, 50801, 51757, 51085, 51626, 54984, 51754, 51279, 51650, 50800, 55547, 54666, 64806, 51036, 50968, 51036, 50951, 51036, 51062, 51036, 56468, 50812, 54519, 51835, 51279, 50795, 53327, 51973, 51085, 51626, 51049, 52749, 51279, 51626, 50803, 52594, 51724, 51279, 56190, 51370, 56358, 50801, 52284, 51279, 54666, 51626, 50803, 52612, 54988, 51085, 56190, 51626, 51052, 55874, 51224, 52163, 51279, 56036, 60020, 50803, 55547, 56036, 53305, 55267, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 52729, 51085, 54828, 51650, 64991, 51820, 50989, 51650, 52668, 52848, 51324, 51626, 52229, 52668, 52163, 51279, 51650, 60267, 55547, 51650, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 56190, 51650, 64991, 51820, 51279, 54666, 51650, 52668, 52848, 51324, 56190, 51626, 52229, 52668, 52163, 51279, 56036, 51650, 60267, 55547, 56036, 53305, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 52729, 51085, 54828, 51650, 64991, 51820, 50989, 51650, 52668, 52848, 51324, 57341, 51626, 52229, 52668, 52163, 51279, 66843, 51650, 60267, 55547, 66843, 51650, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 56190, 51650, 64991, 51820, 51279, 54666, 51650, 52668, 52848, 51324, 56190, 51626, 52229, 52668, 52163, 51279, 56036, 51650, 60267, 55547, 56036, 53305, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 52729, 51085, 54828, 51650, 64991, 51820, 50989, 51650, 52668, 52848, 51324, 51626, 52229, 52668, 52163, 51279, 51650, 60267, 55547, 51650, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 56190, 51650, 64991, 51820, 51279, 54666, 51650, 52668, 52848, 51324, 56190, 51626, 52229, 52668, 52163, 51279, 56036, 51650, 60267, 55547, 56036, 53305, 64991, 56624, 50801, 51835, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 54112, 50856, 52841, 51085, 54828, 54666, 51650, 64991, 51820, 50989, 56190, 51650, 52668, 52848, 51324, 57341, 56036, 51626, 52229, 52668, 52163, 51279, 66843, 56036, 51650, 60267, 55547, 66843, 56036, 53305, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51740 ]
[ 0, 250, 765, 37903, 9, 5175, 930, 19, 10, 2933, 8, 5679, 26709, 5466, 6, 4246, 30587, 8669, 6, 3459, 9590, 6, 38668, 11212, 6, 21072, 6, 8, 6755, 12547, 6, 70, 8216, 7, 5, 15352, 30054, 15229, 11, 12608, 538, 8, 204, 73, 306, 86, 6543, 23, 10, 1769, 20889, 9, 10529, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51348, 51352, 51096, 50993, 53361, 51352, 55340, 51352, 55796, 66984, 62297, 62643, 51096, 51029, 63687, 68759, 60493, 51488, 52409, 66519, 59678, 68071, 51096, 50993, 51488, 51880, 67413, 51511, 51352, 51796, 50993, 54165, 51352, 53465, 51352, 56679, 66984, 62297, 73481, 51796, 51407, 56079, 51599, 62297, 50860, 52478, 63687, 59236, 51395, 50803, 56079, 52677, 62297, 66057, 59678, 51300, 50430, 51395, 51880, 67476, 51473, 51352, 51213, 51407, 53654, 51352, 53361, 51352, 55340, 66984, 62297, 73422, 59678, 54132, 70937, 59678, 57303, 51905, 50803, 59678, 52677, 50860, 51809, 59678, 60442, 51213, 50993, 59678, 54132, 65644, 59678, 50824, 50428, 51511, 51352, 51325, 50993, 54165, 51352, 53465, 51352, 56679, 66984, 62297, 66519, 51325, 51407, 59678, 51599, 62297, 70636, 59678, 59116, 51811, 50803, 59678, 52677, 62297, 72477, 59678, 51300, 50455, 50832, 50860, 51809, 51348, 51352, 51096, 51407, 54522, 51352, 52693, 66984, 62297, 65644, 56079, 54132, 54684, 63687, 52674, 76021, 56079, 52677, 61870, 59678, 53681, 51096, 75909, 62183, 51143, 51352, 50964, 50993, 56079, 50802, 53460, 51352, 52507, 66984, 62297, 60271, 56079, 50993, 52534, 57520, 62297, 56111, 56079, 52801, 51811, 50803, 56079, 67396, 62297, 54684, 50964, 75909, 73480, 51885, 51352, 51228, 51407, 63687, 50823, 55080, 51352, 52693, 51352, 54165, 66984, 62297, 63999, 63687, 66054, 63687, 55466, 50993, 50455, 56079, 50993, 56875, 50860, 51809, 59678, 50993, 50421, 51228, 75909, 54675, 59678, 58656, 51521, 51352, 51105, 50993, 63687, 50823, 53953, 51352, 52507, 51352, 53361, 66984, 62297, 59618, 63687, 51059, 50439, 51105, 57520, 62297, 73422, 51201, 50803, 63687, 52677, 62297, 70937, 59678, 59868, 51105, 75909, 66426, 59678, 50802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2125, 14, 28337, 4785, 9, 5175, 8, 15855, 930, 6, 4246, 10, 13305, 25, 5, 6922, 10320, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 25306, 5466, 6, 36830, 227, 2933, 8, 19448, 6711, 29, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 15229, 1171, 10, 33215, 16739, 9, 211, 119, 6, 230, 119, 1176, 406, 6, 8, 163, 119, 406, 428, 245, 73, 250, 6, 8216, 7, 63, 5679, 26709, 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 ]	[ 56103, 51034, 50628, 51120, 50959, 50418, 51027, 62658, 51176, 54252, 51027, 70134, 51086, 73418, 51040, 58645, 50899, 54112, 50916, 54181, 50871, 58935, 50916, 54207, 50899, 54672, 70835, 51034, 50906, 51244, 50418, 59139, 50421, 51028, 54252, 59139, 50427, 64413, 50430, 50931, 62886, 50968, 53720, 50902, 52788, 60714, 50877, 51481, 50441, 50968, 54478, 62804, 76684, 50447, 59855, 51034, 74952, 74436, 50418, 50877, 62658, 62389, 50899, 51242, 50423, 59139, 50427, 66310, 51040, 51242, 50430, 50877, 60093, 64413, 51027, 51242, 50435, 50968, 52691, 62389, 50899, 51242, 50441, 50902, 53743, 72372, 50900, 51242, 50447, 79407, 51034, 76598, 50997, 51242, 50418, 59139, 50421, 51081, 50822, 51026, 51242, 50423, 50951, 60092, 72372, 51378, 51242, 50430, 59139, 50433, 51062, 50822, 51120, 51242, 50435, 50999, 52691, 51081, 50822, 51026, 51242, 50441, 50902, 53743, 66310, 51050, 51242, 50447, 59139, 51034, 66374, 51315, 51242, 50418, 51081, 62658, 72372, 50900, 51242, 50423, 50951, 60092, 72372, 51050, 51242, 50430, 59855, 50433, 59139, 51315, 51242, 50435, 50876, 52691, 66768, 51120, 51242, 50441, 50999, 53743, 64413, 50997, 51242, 50447, 62389, 51034, 76598, 51315, 51328, 50418, 50906, 65369, 61524, 51120, 51481, 50423, 61801, 50427, 57472, 51085, 51753, 50430, 60299, 50433, 59715, 51120, 51884, 50435, 50968, 53269, 66735, 51234, 52518, 50441, 50902, 54478, 59663, 51085, 53010, 50447, 69128, 51034, 63095, 51247, 52025, 50418, 50877, 62658, 50906, 54252, 59855, 50427, 59139, 50430, 50968, 60093, 50931, 54378, 50951, 52691, 50999, 57366, 50951, 53743, 50931, 55118, 72752, 51034, 50973, 51148, 50418, 60501, 50421, 51040, 54252, 50899, 60092, 57660, 74413, 60093, 50916, 54378, 50899, 52691, 63077, 78763, 50441, 50861, 53743, 50900, 50822, 50968, 51242, 50447, 63077, 80055, 50959, 50999, 50974, 50418, 51086, 62658, 51040, 50822, 50951, 73639, 51027, 60092, 60501, 50931, 50905, 50430, 50877, 60093, 57660, 50968, 73187, 50877, 52691, 74166, 50902, 50987, 50441, 50899, 53743, 51086, 50822, 50968, 50978, 50447, 51027, 50822, 72151, 50959, 50951, 50892, 50418, 51027, 62658, 51086, 50822, 50931, 73639, 51026, 60092, 50900, 50822, 50968, 50905, 50430, 57660, 50433, 74166, 50902, 73187, 50861, 52691, 63077, 50876, 50987, 50441, 50900, 53743, 51027, 50822, 50968, 50978, 50447, 51026, 50822, 64688, 50959, 50931, 50892, 50418, 51026, 62658, 51027, 50822, 50968, 73639, 51050, 60092, 51086, 50822, 50902, 50905, 74413, 60093, 51027, 50822, 50876, 73187, 50871, 52691, 51176, 50822, 50973, 50987, 50441, 50916, 53743, 51315, 50822, 50902, 50978, 50447, 51086, 50874, 51034, 70688, 51027, 51481, 50418, 50973, 62658, 59855, 51315, 51481, 50423, 59139, 50427, 66310, 51085, 51481, 50430, 50877, 60093, 59139, 51050, 51481, 50435, 50876, 52691, 63503, 51120, 51481, 50441, 50902, 53743, 78675, 51315, 51481, 50447, 66768, 51034, 51279, 50827, 50877, 50981, 50418, 51315, 62658, 51197, 54252, 51315, 60092, 51378, 73418, 51176, 58645, 51027, 56529, 51086, 53415, 50900, 58935, 51086, 52597, 51027, 53668, 50900, 50808, 71213, 51183, 50418, 50999, 62658, 51147, 54252, 50999, 67322, 51146, 64755, 51062, 67592, 51220, 55270, 50999, 54793, 51147, 50822, 50916, 51242, 50441, 51220, 53743, 66310, 50902, 51242, 50447, 51147, 50874, 51034, 50999, 50959, 78763, 50418, 50968, 62658, 51062, 59035, 51242, 50423, 50999, 60092, 51220, 50822, 50965, 51242, 50430, 50968, 64662, 51146, 50844, 50916, 51212, 50435, 51220, 52729, 51062, 69539, 51177, 50441, 50999, 54207, 51430, 69937, 51100, 50447, 51399, 50808, 51034, 75746, 50871, 51111, 50418, 58276, 50421, 51339, 61441, 51111, 50423, 51146, 60262, 51430, 50812, 51040, 51121, 50430, 50999, 60462, 51487, 50833, 51027, 51177, 50435, 51430, 54181, 51339, 61895, 51101, 50441, 50999, 53783, 51220, 50844, 50900, 80059, 72372, 51034, 76598, 51086, 51242, 50418, 51339, 62658, 51430, 50822, 76684, 50423, 51146, 60092, 51430, 72679, 51242, 50430, 50951, 60093, 72372, 51086, 51242, 50435, 50951, 52691, 63095, 51027, 51328, 50441, 51430, 54653, 51146, 64000, 51328, 50447, 51062, 50874, 51034, 51146, 50933, 51086, 51277, 50418, 59715, 50421, 60299, 51027, 51277, 50423, 59715, 50427, 57910, 51026, 51277, 50430, 51146, 67592, 51062, 50851, 51027, 51481, 50435, 51220, 53269, 51062, 50851, 51050, 51481, 50441, 50999, 54478, 60989, 51026, 51481, 50447, 51081, 50912, 51034, 51062, 51712, 50292, 50995, 50418, 51026, 62658, 51378, 54252, 51026, 67322, 51027, 66142, 51086, 60093, 50900, 54378, 50899, 52691, 50916, 57366, 50899, 53743, 50900, 55118, 64410, 51034, 51378, 51310, 50418, 51279, 62658, 51324, 54252, 51085, 60092, 51120, 66142, 51315, 60093, 51120, 50822, 51027, 51242, 50435, 51085, 52691, 51324, 73353, 51242, 50441, 51085, 53743, 51324, 72679, 80059, 51279, 50822, 51034, 51086, 50955, 51214, 50905, 50418, 50871, 62658, 50916, 54252, 50871, 60092, 57660, 50430, 50877, 60093, 50973, 55167, 50876, 52729, 50902, 62079, 50876, 54207, 50906, 55590, 61673, 78458, 51477, 50418, 51026, 62658, 51027, 54252, 51086, 60092, 50900, 66142, 50899, 60093, 50900, 50822, 76684, 50435, 51086, 52691, 51027, 50822, 78763, 50441, 51086, 53743, 51027, 50822, 50973, 80059, 51026, 50874, 51034, 64645, 51050, 51242, 50418, 50968, 62658, 63009, 51378, 51212, 50423, 60215, 50427, 62680, 51026, 51101, 50430, 50931, 58645, 76171, 51176, 51177, 50435, 50902, 54181, 60040, 51027, 51121, 50441, 50999, 54207, 68278, 51086, 79860, 66188, 51034, 78966, 50900, 50892, 50418, 62389, 50421, 59139, 51176, 73639, 50968, 60092, 59855, 51027, 50905, 50430, 59139, 50433, 67642, 51315, 73187, 50876, 52691, 62804, 51050, 50978, 50441, 50876, 53743, 67642, 51197, 50978, 50447, 60124, 51034, 51315, 50955, 50965, 50981, 50418, 51086, 62658, 50997, 54252, 51086, 60092, 51040, 66142, 50956, 60093, 63077, 50973, 54378, 50989, 52691, 78675, 50968, 58709, 50916, 53743, 80255, 50902, 55118, 70226, 78031, 59772, 50892, 50418, 50968, 62658, 50916, 71029, 54252, 50968, 60092, 50900, 75162, 66142, 51147, 60093, 51086, 50820, 50999, 54378, 51220, 52691, 51027, 50822, 51062, 51058, 50441, 51086, 53743, 50861, 68095, 55118, 51027, 50822, 68866, 50874, 50989, 50981, 50418, 51027, 62658, 51176, 54252, 51027, 60092, 51086, 66142, 51040, 60093, 50899, 59035, 54378, 50916, 52691, 80255, 50902, 58709, 50899, 53743, 63077, 50876, 55118, 80255, 51034, 79623, 50861, 50974, 50418, 59139, 50421, 60501, 51028, 54252, 59139, 50427, 51086, 50822, 50968, 66142, 51114, 60093, 51027, 50822, 50951, 54378, 50999, 52691, 51026, 50822, 51081, 51058, 50441, 51027, 53743, 51086, 68897, 50978, 50447, 51026, 50822, 64507, 50874, 50916, 50981, 50418, 51026, 62658, 51378, 54252, 51026, 60092, 51027, 66142, 51086, 60093, 50900, 50822, 76684, 50435, 50899, 52691, 63077, 78763, 50441, 50900, 53743, 60501, 50973, 80059, 63077, 51034, 50877, 65037, 50974, 50418, 59855, 50421, 50900, 50822, 50973, 54252, 60215, 50427, 51027, 50844, 51001, 58779, 50968, 60733, 51026, 50854, 51114, 55098, 50951, 52841, 51378, 50808, 50999, 50977, 50441, 51026, 51820, 51027, 71420, 53668, 51378, 50821, 51034, 51324, 68519, 50893, 50418, 51378, 60721, 50997, 52296, 50956, 56919, 50871, 60133, 57579, 50433, 51197, 50800, 50973, 52262, 51114, 51724, 51315, 50859, 50968 ]
[ 0, 250, 15352, 30054, 5175, 8, 3495, 2214, 4246, 1076, 560, 31365, 25999, 6, 21979, 8669, 6, 1515, 21305, 6, 38668, 22052, 6, 8, 24896, 4, 20, 9571, 35810, 561, 7, 1045, 10, 3366, 219, 8, 5679, 26709, 5466, 6, 7630, 14805, 10, 1472, 9, 657, 8, 26545, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 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, 50796, 55746, 52457, 51427, 52135, 51653, 50438, 52457, 50993, 52135, 58348, 52457, 50993, 52135, 50993, 53534, 50993, 54103, 51407, 51667, 52266, 59113, 53002, 58943, 53002, 54924, 53002, 53005, 57639, 52379, 50420, 51125, 60545, 50854, 50850, 63670, 53065, 53548, 51019, 54482, 51779, 51805, 55736, 51149, 58434, 67443, 75471, 53340, 54957, 51011, 50993, 53005, 57736, 55119, 51149, 50862, 51125, 75471, 53340, 63154, 54103, 54145, 51019, 50975, 51667, 54214, 66135, 54450, 51149, 54879, 62258, 50866, 51439, 55325, 50890, 53534, 50993, 52457, 51054, 52135, 50824, 53370, 51655, 53005, 57188, 55853, 51149, 50810, 51125, 63670, 51559, 53939, 51019, 50975, 54103, 51072, 51667, 51603, 68153, 51805, 54151, 50850, 66852, 50867, 51149, 63670, 51559, 54957, 51011, 50993, 52376, 51066, 52226, 52299, 51052, 54586, 50850, 66852, 50867, 51149, 50857, 51439, 51559, 54411, 51019, 50993, 51652, 50824, 52113, 59387, 66135, 54647, 50850, 67443, 60545, 63670, 53340, 50962, 55975, 71366, 52522, 51184, 51633, 55362, 52288, 50993, 54511, 54454, 56490, 51655, 53005, 55777, 55119, 51007, 50836, 51840, 53330, 54392, 51011, 54482, 51779, 51805, 56629, 50850, 59864, 50836, 51840, 53340, 50880, 53758, 50993, 53005, 60159, 50850, 69426, 50836, 51840, 52873, 54411, 51011, 51599, 77801, 54210, 51205, 56491, 69426, 50809, 51840, 54345, 74626, 52198, 50811, 52288, 50975, 50850, 69426, 50840, 51840, 53630, 51779, 51156, 57639, 57480, 51011, 57759, 52057, 51205, 55311, 52116, 51228, 55311, 50823, 50799, 52196, 50975, 78233, 59113, 53002, 54511, 53002, 56490, 53002, 53005, 57606, 50850, 59864, 50855, 51840, 51559, 52329, 51011, 54482, 51779, 51805, 71712, 52196, 60648, 51007, 60957, 50857, 51840, 53340, 55395, 52196, 50993, 73182, 53005, 56843, 50850, 59864, 50855, 51840, 53340, 52555, 53339, 50802, 51011, 54482, 66135, 55577, 51840, 58434, 59864, 52873, 50890, 50799, 53339, 51066, 78233, 53005, 57242, 50850, 70175, 50862, 51840, 51559, 54818, 52196, 50802, 51011, 54482, 58163, 54053, 51840, 56608, 59864, 52873, 54957, 52196, 68342, 50993, 53005, 56843, 51840, 56608, 70175, 52873, 53711, 51011, 53236, 66135, 54647, 53780, 70213, 56491, 51177, 51007, 51111, 51840, 54068, 50930, 55975, 50880, 50799, 53780, 50976, 50927, 51072, 53005, 55180, 56105, 51007, 50836, 51840, 53340, 54818, 53780, 50976, 51011, 54482, 58163, 56629, 51840, 60957, 69426, 52217, 62256, 53780, 51072, 53758, 50976, 53005, 55933, 50850, 68820, 65994, 52873, 54411, 51946, 50976, 51011, 54482, 77801, 56354, 55119, 51007, 50836, 51840, 53340, 50895, 52288, 50975, 53005, 66828, 51946, 63853, 51840, 50855, 56105, 51007, 52675, 53939, 53780, 50860, 51011, 50976, 51840, 55136, 58163, 55649, 51840, 60957, 69426, 52217, 54957, 53780, 51059, 50927, 51072, 53005, 60159, 50850, 69426, 50855, 51840, 52873, 54755, 51011, 53236, 52865, 51156, 55891, 64633, 55119, 51007, 50836, 51840, 52938, 50930, 55975, 50887, 50799, 53780, 51029, 50927, 51066, 53005, 55180, 51840, 50862, 56105, 51007, 52873, 55447, 51011, 54482, 51779, 51805, 56629, 51007, 50855, 51840, 58434, 53199, 53294, 52196, 51407, 50927, 50993, 53005, 57736, 51840, 50854, 56105, 51007, 52217, 54411, 51011, 55877, 77801, 57701, 51840, 50854, 55119, 51007, 53330, 50880, 52288, 50975, 53005, 57606, 50850, 69426, 50855, 51840, 53340, 53939, 52196, 51066, 51011, 53236, 58163, 56257, 78152, 55853, 51007, 51400, 51840, 59330, 54459, 53339, 50993, 78233, 53005, 57736, 56105, 51007, 50812, 51840, 53330, 55510, 51011, 54482, 77801, 72634, 52196, 59315, 51840, 62812, 69426, 52675, 50930, 55975, 57614, 54924, 53002, 58943, 53002, 53534, 50976, 53370, 53002, 53005, 59980, 53064, 61912, 51125, 50855, 56105, 51439, 51420, 53939, 51019, 54482, 58163, 55736, 51125, 58243, 50836, 51439, 52675, 54957, 51011, 68117, 60159, 77770, 51439, 58720, 52217, 55268, 51019, 55877, 77801, 57701, 51213, 56491, 66689, 74869, 52873, 50887, 53534, 50976, 53005, 57188, 50850, 66689, 50836, 51149, 74869, 52873, 54818, 51019, 55877, 51779, 51805, 56257, 51439, 62812, 66689, 75401, 53340, 54957, 51011, 50976, 53005, 60159, 56105, 51439, 50854, 51125, 75401, 53340, 54411, 51019, 55877, 77801, 52193, 51439, 50854, 50850, 50862, 51125, 75401, 53340, 50930, 55975, 62959, 56490, 53002, 54511, 53002, 50799, 53780, 51072, 78233, 53005, 55180, 51840, 60957, 69426, 52675, 53939, 52196, 50976, 51011, 55877, 51779, 51805, 56629, 51840, 60957, 69426, 52675, 54957, 52196, 51066, 78233, 53005, 60159, 51840, 60957, 65994, 52675, 54755, 51011, 53236, 52865, 52516, 72638, 53339, 58954, 51205, 56491, 69426, 50840, 51840, 52873, 50890, 50799, 53339, 51066, 78233, 53005, 57606, 51840, 58434, 69426, 52873, 54818, 52196, 75159, 55877, 51779, 51805, 55736, 50850, 69426, 50836, 51840, 52873, 68487, 52196, 51009, 53758, 50976, 53005, 57736, 51007, 50840, 51840, 58243, 52873, 54755, 51011, 55877, 66135, 56354, 51007, 50836, 51840, 58243, 52873, 50880, 55975, 50809, 50799, 53780, 60589, 50993, 53005, 54658, 51840, 60957, 69426, 52873, 53939, 53780, 50976, 51011, 55877, 51779, 51805, 56629, 50850, 50862, 51840, 65994, 52873, 55395, 53780, 60589, 50993, 53005, 57736, 51840, 58243, 69426, 52675, 55268, 51011, 53236, 77801, 65134, 51946, 58954, 51205, 56491, 69426, 50840, 51840, 52873, 50887, 52288, 50975, 53005, 71711, 51946, 66463, 51840, 60957, 69426, 52217, 54392, 51011, 55877, 58163, 51010, 50427, 53780, 52030, 51840, 60957, 65994, 52675, 54292, 53780, 51059, 78233, 53005, 60159, 51840, 60957, 65994, 52675, 54411, 51011, 51599, 66135, 56354, 50850, 69426, 50809, 51840, 52217, 50962, 55975, 50887, 50799, 53780, 51029, 51011, 50975, 54924, 53002, 58943, 53002, 53005, 52628, 56105, 51125, 78869, 50862, 51649, 53330, 54392, 51019, 54482, 58163, 55736, 51125, 50810, 56105, 51149, 50862, 51649, 53340, 54957, 52196, 51407, 51011, 50976, 53005, 57736, 51125, 56608, 78869, 50862, 51649, 53340, 55268, 51019, 55877, 77801, 57701, 51213, 56491, 50862, 51125, 60545, 50862, 51649, 53340, 50890, 53534, 50976, 53005, 57188, 51649, 50844, 50850, 50862, 51125, 50867, 51149, 51559, 54392, 52196, 50823, 51019, 55877, 58163, 56257, 56105, 51125, 60545, 50862, 51649, 53340, 67980, 52196, 55276, 51011, 50975, 53005, 64916, 53780, 62186, 67210, 51149, 58434, 65965, 53340, 55268, 51019, 54482, 77801, 72638, 53064, 59315, 56105, 51125, 78869, 50862, 51649, 53340, 50890, 55975, 50840, 50799, 52665, 51184, 73182, 59113, 51655, 56490, 51655, 54511, 51655, 53005, 55180, 50850, 69426, 50840, 51840, 52675, 54392, 51011, 51599, 51779, 51805, 56629, 50850, 69426, 50836, 51840, 52675, 50880, 53758, 50976, 53005, 54989, 51840, 58720, 69426, 52217, 54411, 51011, 51599, 52865, 51156, 53563, 51205, 56491, 69426, 50836, 51840, 54472, 52853, 50880, 52198, 53766, 50890, 52288, 56491, 51110, 51007, 51060, 51840, 65249, 51779, 51156, 65487, 57480, 52196, 50824, 51011, 57759, 52057, 53339, 51059, 51205, 55311, 52116, 53916, 51066, 51228, 54482, 50823, 50799, 52601, 51300, 78233, 56490, 53002, 59113, 53002, 54511, 53002, 53005, 57639, 51870, 50420, 52678, 50950, 51840, 50833, 55119, 51007, 51582, 54818, 51011, 50976, 51760, 54451, 51779, 51805, 56257, 52235, 63518, 59864, 50836, 51840, 53340, 54957, 52601, 51009, 50927, 51066, 53005, 60159, 55119, 51840, 69426 ]
[ 0, 250, 2933, 8, 2635, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 41, 1021, 5901, 1243, 816, 5, 33301, 7513, 30, 30587, 29589, 6, 38668, 9590, 6, 38668, 22052, 6, 8, 21072, 4, 20, 1349, 16, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 25935, 1626, 227, 230, 8, 211, 401, 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 ]	[ 57739, 50799, 67348, 51336, 74773, 51103, 50741, 50284, 52017, 50420, 59041, 56818, 75883, 54477, 57171, 60341, 61855, 52870, 62205, 65416, 64094, 54929, 68477, 56657, 50730, 50344, 52417, 59041, 50837, 50730, 50346, 58608, 75883, 50829, 50730, 50347, 53908, 57171, 50825, 50730, 50349, 58694, 61855, 50835, 50730, 50351, 53116, 61372, 51103, 66208, 51145, 62205, 50835, 50730, 50352, 66085, 64094, 50825, 50730, 50354, 55604, 68477, 50837, 50730, 50356, 58829, 50730, 50344, 53027, 50730, 50346, 59279, 50730, 50347, 53528, 50730, 50349, 58145, 50730, 50351, 52772, 59041, 50891, 50730, 50352, 67099, 75883, 50863, 50730, 50354, 56782, 57171, 50870, 50730, 50356, 58677, 61855, 53553, 62205, 58958, 64094, 55397, 68477, 56772, 50730, 50344, 50908, 50799, 67348, 51336, 74773, 51127, 50730, 50346, 76965, 50730, 50347, 61252, 50730, 50349, 64040, 50730, 50351, 53405, 50730, 50352, 50870, 59041, 65587, 50730, 50354, 50908, 75883, 54604, 50730, 50356, 50837, 57171, 63026, 61855, 52966, 62205, 70573, 64094, 58832, 68477, 64161, 50730, 50344, 53962, 59041, 51258, 50730, 50346, 59516, 75883, 51004, 50730, 50347, 55813, 57171, 51129, 50730, 50349, 58286, 61855, 51129, 50730, 50351, 52904, 61372, 51103, 66208, 51047, 62205, 51004, 50730, 50352, 76779, 64094, 51129, 50730, 50354, 65649, 68477, 51258, 50730, 50356, 63938, 50730, 50344, 59291, 50730, 50346, 64485, 50730, 50347, 68466, 50730, 50349, 73259, 50730, 50351, 54044, 59041, 52611, 50730, 50352, 51129, 50452, 75883, 51306, 50730, 50354, 51306, 50453, 57171, 52445, 50730, 50356, 71880, 61855, 63820, 62205, 51693, 50458, 64094, 52445, 50459, 68477, 52611, 50461, 50730, 50344, 52611, 50799, 52233, 51356, 55613, 51103, 62613, 51359, 58252, 50828, 50704, 50356, 51297, 50415, 51970, 62953, 72083, 56882, 55138, 57441, 64173, 59041, 63094, 75883, 53576, 57171, 50828, 50704, 50356, 79755, 51956, 61855, 56493, 62205, 54579, 64094, 59095, 68477, 62239, 50730, 50344, 52905, 58252, 50829, 50730, 50346, 50884, 50704, 50356, 71874, 51762, 62953, 50839, 50730, 50347, 61146, 56882, 50837, 50730, 50349, 54660, 57441, 50837, 50730, 50351, 58331, 59041, 50825, 50730, 50352, 59483, 75883, 50834, 51361, 50834, 57171, 50829, 50704, 50356, 51123, 50433, 61855, 56565, 62205, 54288, 64094, 62196, 68477, 57352, 50730, 50344, 52766, 67348, 51196, 51931, 74773, 51077, 50730, 50346, 50839, 50704, 50356, 51832, 50439, 50730, 50347, 63442, 58252, 50891, 50730, 50349, 55262, 62953, 50837, 50730, 50351, 59144, 56882, 50982, 50730, 50352, 60862, 57441, 54189, 59041, 50928, 50704, 50356, 50984, 50445, 51956, 75883, 59265, 57171, 55721, 61855, 61333, 62205, 57855, 64094, 53166, 68477, 50870, 50704, 50356, 75030, 52105, 50730, 50344, 69909, 50730, 50346, 55351, 58252, 51004, 50730, 50347, 62476, 62953, 50908, 50730, 50349, 61733, 56882, 51306, 50730, 50351, 50928, 51453, 50834, 57441, 51306, 50730, 50352, 50908, 50704, 50356, 51022, 50457, 59041, 78375, 75883, 59506, 57171, 77054, 61855, 59546, 62205, 51004, 50799, 52233, 51196, 51931, 55613, 51077, 64094, 51129, 50704, 50356, 52794, 50415, 68477, 50982, 50416, 50730, 50344, 51004, 50417, 50730, 50346, 72364, 50730, 50347, 77940, 50730, 50349, 51004, 76799, 50730, 50351, 51258, 50704, 50356, 51832, 50421, 50730, 50352, 51129, 58252, 51258, 50422, 62953, 58362, 56882, 52445, 50424, 57441, 52445, 50425, 59041, 51693, 51544, 50828, 75883, 51129, 50704, 50356, 50984, 50427, 57171, 51258, 50428, 61855, 64838, 58252, 51258, 62205, 51258, 50430, 62953, 50982, 64094, 51306, 50431, 56882, 52445, 68477, 51129, 51361, 50829, 57441, 52445, 50730, 50344, 51258, 50704, 50356, 52794, 50433, 59041, 51693, 50730, 50346, 65627, 75883, 51129, 50730, 50347, 73716, 57171, 51258, 50730, 50349, 51258, 50436, 61855, 51004, 50730, 50351, 51693, 50437, 62205, 51258, 50730, 50352, 58930, 67348, 51196, 51762, 74773, 51077, 64094, 51306, 50704, 50356, 55084, 50439, 68477, 51129, 50440, 50730, 50344, 51258, 50441, 50730, 50346, 69949, 50730, 50347, 51258, 50443, 50730, 50349, 51258, 51180, 50834, 50730, 50351, 51693, 50704, 50356, 51832, 50445, 50730, 50352, 58547, 52105, 50704, 50356, 50984, 51453, 50841, 50704, 50356, 52794, 50799, 52091, 51009, 51320, 52859, 50839, 55091, 51551, 50741, 50284, 51036, 50704, 50356, 51297, 50418, 50798, 54031, 53583, 51949, 50839, 59041, 50820, 50704, 50356, 73192, 75883, 54477, 57171, 60341, 61855, 50841, 51694, 73782, 50835, 62205, 50841, 50704, 50356, 50912, 50428, 64094, 54929, 68477, 56657, 50730, 50344, 52417, 54164, 50863, 59041, 50837, 50730, 50346, 50841, 50704, 50356, 51123, 50434, 75883, 50829, 50730, 50347, 53908, 57171, 50825, 50730, 50349, 62586, 50798, 52050, 58414, 61855, 50835, 50730, 50351, 53116, 52016, 51870, 52924, 64790, 53254, 51356, 62205, 50835, 50730, 50352, 50841, 50704, 50356, 51832, 50440, 64094, 50825, 50730, 50354, 55604, 68477, 50837, 50730, 50356, 59117, 52615, 50969, 58431, 50730, 50344, 50837, 52129, 51041, 73151, 50730, 50346, 50835, 50704, 50356, 50984, 50446, 50730, 50347, 53528, 50730, 50349, 58145, 50730, 50351, 50835, 51899, 77210, 50870, 59041, 50891, 50730, 50352, 50835, 50704, 50356, 50912, 50452, 75883, 50863, 50730, 50354, 56782, 57171, 50870, 50730, 50356, 58677, 61855, 53553, 52164, 50898, 73151, 62205, 50863, 50704, 50356, 51022, 50458, 64094, 55397, 68477, 63414, 55094, 50461, 50730, 50344, 50908, 50799, 52091, 51009, 51320, 52144, 50837, 55091, 51551, 50730, 50346, 50863, 50704, 50356, 52794, 50416, 50730, 50347, 61252, 50730, 50349, 61543, 50798, 58100, 50730, 50351, 53405, 52553, 51877, 50837, 50730, 50352, 50870, 59041, 50928, 50704, 50356, 51832, 50422, 50730, 50354, 50908, 75883, 54604, 50730, 50356, 50837, 57171, 63026, 61855, 50891, 51694, 51044, 52240, 50837, 62205, 50870, 50704, 50356, 50984, 50428, 64094, 58832, 68477, 64161, 50730, 50344, 53962, 54164, 50837, 59041, 51258, 50730, 50346, 50870, 50704, 50356, 52794, 50434, 75883, 51004, 50730, 50347, 55813, 57171, 51129, 50730, 50349, 63122, 52531, 50969, 57320, 61855, 51129, 50730, 50351, 52904, 52016, 51870, 52553, 51872, 50825, 53254, 51196, 62205, 51004, 50730, 50352, 50891, 50704, 50356, 55084, 50440, 64094, 51129, 50730, 50354, 65649, 68477, 51258, 50730, 50356, 60795, 64697, 58829, 50730, 50344, 51306, 52129, 65204, 50837, 50730, 50346, 51004, 50704, 50356, 51832, 50446, 50730, 50347, 68466, 50730, 50349, 73259, 50730, 50351, 51004, 51899, 51044, 51872, 50837, 59041, 52611, 50730, 50352, 51129, 50704, 50356, 50984, 50452, 75883, 51306, 50730, 50354, 51306, 50453, 57171, 52445, 50730, 50356, 71880, 61855, 63820, 52164, 50898, 52144, 50825, 62205, 51693, 50704, 50356, 52794, 50458, 64094, 52445, 50459, 62613, 51264, 68477, 52611, 50460, 52587, 54739, 78360, 50730, 50344, 52611, 70963, 50882, 52233, 51870, 52883, 51872, 50837, 55613, 51356, 58252, 50828, 50704, 50356, 51297, 50415, 62953, 72083, 56882, 55138, 57441, 64173, 50798, 50961, 59041, 63094, 75883, 53576, 52713, 53690, 51135, 51989, 50837, 57171, 50828, 50704, 50356, 79755, 61855, 56493, 62205, 54579, 64094, 59095, 68477, 62239, 50730, 50344, 52905, 52713, 50975, 55901, 51872, 50863, 58252, 50829, 50730, 50346, 50884, 50704, 50356, 71874, 62953, 50839, 50730, 50347, 61146, 56882, 50837, 50730, 50349, 54660 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 3495, 2214, 4246, 10, 2382, 3459, 8669, 6, 20535, 2810, 6, 6168, 3540, 6, 3689, 21072, 6, 8, 21072, 6, 2351, 10, 19448, 2365, 3618, 13569, 9862, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 20902, 20889, 9, 10529, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 211, 6, 272, 6, 211, 6, 8, 83, 8165, 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 ]	[ 56236, 76501, 50852, 50895, 67398, 51505, 57090, 61397, 64654, 59534, 50884, 56357, 50812, 53191, 50808, 53366, 51012, 51869, 50976, 53440, 53223, 65829, 65316, 53744, 50843, 52992, 57090, 58732, 54831, 51392, 62131, 51031, 53764, 52209, 51857, 50802, 65829, 75652, 56379, 50884, 53302, 50859, 52649, 50936, 52040, 51030, 64993, 52950, 60231, 63342, 64654, 53414, 59658, 50895, 54268, 52210, 51857, 50802, 65829, 65316, 56379, 50818, 53302, 50830, 52649, 51030, 52040, 51021, 59341, 53057, 52531, 51502, 51139, 62131, 60512, 53545, 50843, 52349, 51857, 51012, 57090, 63798, 56152, 50895, 53302, 50910, 52649, 50921, 52040, 51014, 55975, 50820, 54309, 51932, 50843, 64654, 62131, 50949, 52588, 50937, 51964, 50923, 51280, 50923, 53440, 53223, 65829, 69163, 54069, 73621, 52389, 54831, 51041, 53778, 50949, 53764, 52209, 51844, 51021, 60231, 61871, 56379, 50818, 55678, 50800, 52564, 50921, 52537, 51045, 51708, 50936, 64993, 52600, 50843, 64654, 55767, 60457, 50828, 54268, 52210, 51844, 50911, 60231, 61871, 53317, 50828, 55678, 50808, 52564, 50924, 52537, 51014, 51708, 51030, 59341, 53035, 50798, 54831, 51139, 53778, 62394, 50961, 54710, 53173, 69248, 65829, 67451, 53589, 50895, 55678, 50833, 52564, 50830, 52537, 50821, 51708, 50830, 55975, 50839, 53447, 51072, 57090, 67451, 72185, 56459, 50961, 52564, 50878, 52631, 50942, 52176, 50860, 79414, 53440, 52981, 65829, 58376, 55795, 50843, 52870, 60231, 54523, 54831, 51135, 59534, 50961, 53764, 52209, 51374, 51138, 65829, 63342, 57582, 50895, 53059, 50940, 52533, 51138, 51232, 51021, 64993, 52600, 50843, 64654, 53414, 65797, 50846, 54268, 53044, 51374, 51021, 57090, 61397, 57582, 50895, 53059, 50882, 52533, 51138, 51232, 51021, 59341, 53035, 52531, 51502, 51139, 62131, 55717, 50961, 54710, 53173, 51374, 50923, 65829, 59312, 56152, 50949, 53059, 50858, 52533, 50894, 51232, 50950, 55975, 50846, 56682, 51090, 60231, 55509, 56088, 59534, 50949, 55678, 50925, 52564, 50940, 52537, 51138, 51708, 51388, 53440, 52981, 60231, 58174, 53423, 50843, 52639, 65829, 53235, 54831, 51130, 62131, 50961, 53764, 52209, 51181, 51021, 57090, 67451, 56379, 50895, 52564, 50940, 52631, 50952, 52176, 51138, 51198, 51021, 64993, 53442, 50843, 72185, 56459, 60457, 50883, 54268, 53239, 51181, 51030, 65829, 58786, 53317, 50846, 52564, 50940, 52631, 51014, 52176, 51138, 51198, 51138, 59341, 53533, 60231, 50938, 52531, 51502, 53732, 53778, 59448, 54210, 51181, 51021, 65829, 79850, 51031, 52564, 50858, 52631, 50921, 52176, 50930, 51198, 67172, 51170, 51031, 67398, 51012, 57090, 60225, 53852, 51031, 56357, 50859, 53191, 50921, 53366, 50823, 51869, 53537, 56677, 56896, 56849, 56341, 56849, 50385, 54331, 73136, 59032, 57887, 56677, 52935, 61804, 50859, 54309, 51016, 60857, 51160, 55243, 51036, 52769, 51264, 51774, 51307, 50843, 54739, 54831, 53317, 50884, 53440, 60740, 50949, 51089, 50891, 51020, 50891, 51092, 50908, 51810, 53868, 51320, 57879, 56494, 76318, 77282, 79925, 50837, 51810, 52992, 60857, 54429, 54534, 54831, 64494, 55767, 50884, 53764, 50825, 51089, 50820, 65062, 51092, 50839, 51810, 52209, 51338, 53843, 54741, 55486, 72415, 51089, 62358, 79925, 50829, 51810, 50828, 54683, 70440, 54366, 63260, 54966, 64802, 50855, 51020, 50904, 51092, 50835, 51810, 50854, 54268, 50820, 51403, 54207, 65829, 52201, 80210, 73417, 50833, 51618, 50841, 51089, 50870, 51020, 50908, 51092, 52772, 57090, 59964, 54534, 54831, 54877, 50846, 54710, 50834, 51089, 50854, 51020, 70485, 50859, 51810, 62082, 56677, 50821, 65829, 57290, 55144, 54943, 73693, 53053, 51016, 56677, 50858, 53722, 51991, 52769, 51991, 52745, 51991, 50843, 53756, 54831, 50818, 53440, 53403, 56677, 52189, 50961, 51083, 50908, 51020, 50891, 51208, 50908, 51810, 53109, 53583, 56017, 56459, 50818, 51083, 77282, 50837, 51208, 50825, 51810, 52639, 56677, 63798, 54534, 63260, 57113, 61213, 50846, 53764, 50837, 75915, 65062, 51208, 50820, 51810, 52209, 51137, 50949, 56849, 55557, 55615, 53593, 72415, 51083, 62358, 50825, 51208, 50825, 51810, 53219, 74897, 56849, 55557, 54366, 54831, 54782, 50828, 51083, 62106, 78003, 50835, 51810, 50854, 54268, 50841, 51185, 54746, 59032, 52633, 80210, 50841, 51208, 72853, 50839, 51083, 50908, 51020, 50908, 51208, 52772, 56677, 55307, 54534, 54831, 55202, 53922, 76062, 71990, 51020, 65964, 50859, 51810, 67301, 51181, 51364, 61804, 50821, 53722, 51655, 56194, 51655, 52806, 51036, 50843, 55987, 54370, 73693, 50799, 61804, 51192, 50843, 53756, 54831, 50841, 53440, 63223, 50961, 60943, 51185, 50834, 52165, 53109, 53583, 56017, 61213, 73818, 67127, 50818, 52165, 52437, 61804, 55307, 54534, 63260, 57113, 58264, 50895, 53764, 50837, 51023, 75021, 50855, 52165, 54215, 51181, 53766, 54741, 54986, 73693, 51023, 58866, 51181, 70440, 54534, 54831, 54966, 50828, 52110, 50858, 54268, 50839, 52165, 69877, 65829, 54068, 61758, 72971, 50874, 51618, 50841, 51023, 54086, 57090, 61826, 54200, 54831, 54877, 50841, 51810, 50882, 54710, 80132, 53820, 65829, 58376, 55144, 65805, 50867, 55975, 50829, 51020, 50862, 53053, 51016, 53722, 52017, 52769, 53501, 52745, 51036, 50843, 53852, 63260, 50828, 53440, 53403, 56677, 63576, 50961, 51083, 78015, 50928, 51208, 50891, 51810, 53868, 51320, 56017, 55767, 50818, 51083, 70791, 50825, 51208, 50837, 51810, 52992, 50843, 54534, 54831, 56410, 58264, 50828, 53764, 50825, 75915, 63488, 51208, 50839, 51810, 52209, 51137, 51031, 56849, 55598, 55615, 54986, 74297, 51083, 62358, 50825, 51208, 50825, 51810, 53219, 51137, 51016, 56849, 56690, 54200, 54831, 54782, 50839, 54268, 53044, 59032, 58611, 59302, 50846, 51083, 50908, 51020, 50908, 51208, 50891, 51810, 53528, 51083, 77282, 50825, 51208, 50825, 51810, 53068, 56677, 53690, 54831, 51239, 54763, 53545, 73550, 51083, 50839, 65062, 51208, 50820, 51810, 53173, 61804, 56690, 55987, 53902, 76062, 51083, 60813, 50825, 51208, 50829, 51810, 50828, 54309, 50896, 60857, 51235, 55243, 51605, 51774, 52208, 50843, 54739, 54831, 53317, 50895, 53440, 63223, 50961, 51089, 50908, 51020, 50908, 51092, 50891, 51810, 53868, 51320, 57879, 55816, 76318, 68971, 50837, 51092, 50825, 51810, 52992, 60857, 57228, 54366, 54831, 54506, 59534, 50818, 53764, 50837, 51089, 50820, 65062, 67245, 51810, 52209, 51338, 53843, 55522, 55486, 72415, 51089, 65538, 50837, 51092, 50825, 51810, 50841, 54683, 66555, 54534, 54831, 55773, 76318, 62106, 50904, 51092, 50835, 51810, 50854, 54268, 50839, 51403, 54746, 65829, 51370, 80210, 65805, 50854, 51618, 50841, 51089, 50891, 51020, 50891, 51092, 52772, 57090, 59964, 53618, 63260, 54877, 54363, 76062, 51089, 50854, 51020, 70485, 50800, 51810, 67301, 56677, 50859, 65829, 57290, 55987, 54370, 73693, 53053, 51016, 56677, 50858, 53722, 52536, 52769, 51486, 52745, 51991, 50843, 53756, 54831, 50895, 53440, 53203, 56677, 51421, 50961, 51083, 50891, 51020, 50891, 51208, 50891, 51810, 54104, 51320, 56017, 56459, 50818, 51083, 77282, 50837, 51208, 50837, 51810, 52992, 56677, 55509, 55136, 54831, 56741, 55767, 50884, 53764, 50837, 79403, 65062, 51208, 50820, 51810, 53230, 51137, 51031, 56849, 55557, 54741, 53593, 72415, 51083, 62358, 50825, 51208, 50835, 51810, 53442, 51137, 51013, 56849, 57158, 54534, 54831, 56093, 50828, 51083, 62905, 50941, 51208, 50829, 51810, 50854, 54268, 50820, 51185, 52597, 59032 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 155, 73, 306, 86, 6543, 4, 20, 15229, 11498, 10, 1769, 20889, 9, 3982, 13410, 228, 2289, 6, 2351, 10, 20902, 5466, 4, 20, 33215, 16739, 9, 230, 10431, 119, 6, 2060, 406, 6, 274, 10431, 119, 401, 6, 230, 10431, 119, 6, 8, 2060, 17992, 7, 5, 2214, 18, 6878, 2048, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 12405, 2933, 223, 34693, 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 ]	[ 51034, 50635, 51018, 50438, 51028, 51359, 51034, 51966, 70453, 51518, 61104, 69711, 65186, 57937, 50635, 51040, 77245, 59219, 51108, 51034, 51503, 61341, 51677, 51147, 51677, 70562, 62447, 69711, 54498, 51176, 52026, 50304, 75763, 50932, 51034, 50634, 51360, 67142, 50973, 71277, 50974, 50425, 50968, 52928, 50973, 59374, 51568, 50300, 72110, 64636, 51108, 50435, 67563, 51028, 52729, 51176, 52019, 50305, 58194, 77563, 51147, 51267, 50973, 51003, 51034, 51378, 60726, 50973, 58902, 50901, 50425, 50968, 52712, 50973, 63785, 51712, 50305, 61306, 51108, 50435, 73186, 51028, 53614, 51040, 69711, 77563, 51114, 68721, 50915, 51034, 50635, 51279, 61817, 51518, 51114, 51518, 57025, 63030, 54498, 51027, 63030, 51097, 51034, 51279, 61306, 51677, 50931, 51677, 62795, 63030, 57937, 51086, 63030, 51108, 51034, 50634, 51279, 51108, 55902, 56943, 69192, 51028, 52712, 50861, 64535, 51712, 50305, 51108, 50435, 61700, 50877, 54123, 51027, 72110, 51108, 50439, 50968, 51267, 50861, 51003, 68866, 51108, 55902, 58887, 69115, 51028, 52712, 50989, 66228, 51712, 50301, 73790, 75986, 50989, 69539, 52729, 51027, 73790, 51108, 50439, 74576, 50989, 50943, 51034, 50635, 51360, 67889, 73076, 51518, 50973, 51518, 61104, 61306, 61417, 51040, 68470, 73279, 51218, 51034, 51378, 65186, 62976, 51028, 54335, 51028, 51644, 50305, 75763, 51314, 63975, 53913, 50902, 79966, 56350, 51001, 50873, 51034, 51315, 52026, 50322, 51103, 50965, 51422, 50902, 51486, 56248, 72396, 51108, 59419, 72396, 74827, 51115, 51034, 51028, 51183, 51027, 52140, 67855, 53770, 50968, 64233, 65186, 64809, 51114, 53913, 51114, 64742, 65186, 63236, 50951, 50901, 51034, 50951, 51514, 50300, 67142, 51147, 53890, 51147, 61027, 65377, 63403, 73279, 64809, 51399, 52446, 51399, 52815, 51062, 50795, 51034, 50635, 51062, 50795, 51503, 67142, 51220, 51631, 51220, 62159, 61341, 64809, 51081, 52446, 51081, 52815, 50999, 50849, 51034, 50634, 50999, 51458, 50293, 57410, 51147, 53890, 51147, 51514, 50303, 59782, 64809, 50951, 53264, 50951, 55200, 51114, 50892, 51034, 50634, 51114, 55126, 50931, 54335, 50931, 54342, 50968, 54137, 50968, 55103, 50902, 50974, 51034, 50635, 51966, 73279, 51518, 50999, 51518, 61104, 75763, 59219, 61417, 51040, 75763, 65186, 50932, 51034, 51503, 58327, 51422, 51147, 51677, 70562, 52026, 50304, 75763, 61417, 51176, 62447, 75763, 51108, 51034, 50634, 51360, 67142, 50973, 69791, 69115, 50968, 52712, 50973, 60379, 51712, 50300, 52026, 50305, 58194, 51108, 50435, 73186, 51028, 52691, 51176, 52026, 50305, 58194, 51108, 50439, 51147, 51056, 50973, 50943, 51034, 51378, 67142, 50973, 64651, 50873, 50425, 50968, 52762, 50973, 60756, 51644, 50305, 68470, 75986, 62680, 51028, 53614, 51040, 69711, 59219, 51003, 50439, 51114, 51056, 51034, 50635, 51279, 65186, 51518, 51114, 51518, 57025, 73790, 61417, 51027, 73790, 51108, 51034, 51279, 61306, 51677, 50931, 51422, 62795, 73790, 61417, 51086, 73790, 50932, 51034, 50634, 51279, 51108, 55902, 59389, 50905, 50425, 51028, 52762, 50861, 61622, 71007, 75986, 58893, 50877, 54181, 51027, 52026, 50305, 51108, 50439, 50968, 58104, 50943, 68866, 50932, 55902, 59023, 50873, 50425, 51028, 52928, 50989, 68219, 69792, 73790, 51108, 50435, 50989, 69539, 52729, 51027, 63030, 51108, 50439, 74576, 50989, 51003, 51034, 50635, 51360, 67889, 51103, 50871, 51518, 50973, 51538, 61104, 68470, 54498, 51040, 61306, 73279, 51218, 51034, 51378, 64897, 73009, 51001, 53172, 51001, 71007, 68186, 69711, 64809, 50968, 53264, 50968, 71007, 68186, 69711, 63236, 50931, 50901, 51034, 51324, 52026, 50324, 51127, 50877, 51486, 56040, 72396, 61417, 50956, 72396, 52026, 50322, 51141, 51034, 51315, 61306, 62976, 50973, 55035, 50973, 58871, 68186, 64809, 51028, 54233, 51028, 58871, 68186, 63236, 50902, 50849, 51034, 51279, 52019, 50322, 51077, 50861, 78907, 51315, 52026, 50305, 61417, 51234, 62722, 51218, 51034, 51324, 51108, 58973, 53890, 51028, 51458, 50300, 63030, 64809, 50973, 60673, 51028, 54487, 50973, 52950, 50877, 55945, 50973, 50845, 78031, 51455, 50293, 67142, 51028, 53770, 51040, 69792, 69711, 51108, 63174, 54137, 51086, 64636, 65186, 79441, 51662, 50447, 50965, 50892, 51034, 51378, 69711, 55382, 51040, 65186, 51108, 50435, 50650, 50438, 51028, 50915, 51034, 51399, 51568, 50297, 57410, 51146, 55035, 51399, 71007, 68470, 64809, 51220, 53913, 51147, 51644, 50305, 68470, 63236, 51028, 50974, 51034, 51220, 51458, 50298, 67142, 51399, 55035, 51220, 71007, 65186, 55665, 50999, 53913, 51114, 51644, 50305, 59219, 63236, 51028, 50905, 51034, 50999, 50805, 51360, 57410, 51220, 55035, 50999, 79966, 58194, 64809, 51147, 53913, 50931, 51644, 50303, 64636, 63236, 50973, 50974, 51034, 51147, 51514, 50294, 57410, 50999, 55035, 51147, 63663, 75763, 64809, 51114, 53913, 50902, 73387, 75763, 56350, 50877, 50974, 51034, 51114, 51458, 50291, 67142, 51147, 55035, 51114, 79966, 75763, 51108, 50431, 50902, 53913, 50965, 55103, 51114, 50974, 51034, 51114, 51458, 50293, 67142, 51147, 55035, 51114, 63663, 52026, 50305, 55665, 51028, 53913, 50989, 55103, 51028, 50974, 51034, 51028, 51458, 50281, 57410, 51040, 55035, 50965, 53387, 51028, 53913, 50902, 51644, 50303, 64636, 63236, 51028, 50838, 78031, 51458, 50298, 51108, 50419, 51028, 55035, 50931, 71007, 65186, 55665, 51114, 53913, 50999, 51644, 50305, 65186, 63236, 51220, 50974, 51034, 51399, 51519, 50297, 57410, 51146, 56307, 51399, 70101, 68470, 64809, 51220, 52718, 51147, 75319, 68470, 63236, 51028, 50905, 51034, 51220, 51458, 50298, 67142, 51399, 54335, 51220, 70101, 75763, 65186, 64809, 50999, 56298, 51114, 70101, 69711, 65186, 51108, 50443, 51028, 50892, 51034, 50999, 50805, 51360, 57410, 51220, 56307, 50999, 50805, 51086, 64636, 64809, 51147, 56298, 50931, 51519, 50303, 64636, 63236, 50973, 50974, 51034, 51147, 74817, 73318, 50999, 52688, 51147, 72136, 75763, 64809, 51114, 54137, 50902, 74911, 75763, 56350, 50877, 50905, 51034, 50902, 51442, 50291, 57410, 50968, 56307, 51114, 79935, 50951, 53913, 50999, 57260, 63821, 67889, 63236, 51220, 50974, 51034, 51062, 52864, 51399, 56307, 51146, 53308, 51430, 56298, 51787, 55885, 51487, 50838, 51034, 52128, 50805, 51360, 73318, 51814, 54335, 52052, 76355, 64636, 72396, 64809, 53117, 54137, 52357, 70101, 58194, 72396, 63236, 53684, 50974, 51034, 56193, 51442, 50298, 54869, 51040, 59219, 61417, 51028, 50889, 51034, 51399, 51519, 50297, 67142, 51146, 56307, 51399, 70101, 61306, 64809, 51220, 52718, 51147, 75319, 68470, 63236, 51028, 50905, 51034, 51220, 51458, 50298, 67142, 51399, 54335, 51220, 70101, 65186, 64809, 50999, 56298, 51114, 70101, 65186, 56350, 51028, 50892, 51034, 50999, 50805, 51360, 67142, 51220, 56307, 50999, 50805, 51086, 64636, 64809, 51147, 56298, 50931, 51519, 50303, 58194, 63236, 50973, 50974, 51034, 51147, 74817, 67142, 50999, 52688, 51147, 72136, 75763, 64809, 51114, 54137, 50902, 71942, 75763, 63236, 50877, 50905, 51034, 51114, 51442, 50291, 57410, 51147, 56307, 51114, 79541, 75763, 51108, 63975, 53913, 50965, 52815, 51114, 50974, 51034, 51114, 50805, 51360, 67142, 51147, 56307, 51114, 74911, 52026, 50305, 64809, 51028, 56298, 50989, 55885, 51028, 50838, 51034, 51028, 50805, 52759, 57410, 51040, 54335, 50965, 53308, 51028, 54137, 50902, 79541, 64636, 63236, 51028, 50974, 78031, 51442, 50298, 67142 ]
[ 0, 250, 20902, 5175, 3495, 2214, 11, 83, 538, 6, 4246, 21979, 8, 3459, 29589, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 19376, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 150, 67, 22690, 2365, 8, 2933, 4785, 4, 20, 33301, 16, 3185, 30, 5, 3222, 5785, 227, 5, 83, 8, 381, 40286, 6, 2351, 10, 33200, 8, 17627, 17274, 5466, 1328, 5, 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 ]	[ 58402, 55746, 51366, 60655, 51674, 52692, 51229, 52931, 51590, 53898, 53271, 50845, 51504, 50845, 51846, 50892, 63880, 50457, 51169, 50905, 51064, 50905, 53028, 65794, 51349, 50930, 53092, 50915, 52028, 50915, 73077, 51136, 50981, 50415, 50947, 50995, 51076, 50995, 50416, 51910, 51500, 65741, 51544, 65443, 51910, 50911, 53092, 51043, 52028, 51043, 51131, 51233, 51136, 51233, 50427, 50947, 51337, 51076, 51337, 74906, 51910, 50911, 51570, 65794, 51910, 50911, 51180, 53704, 50961, 51910, 50911, 53092, 50845, 52028, 50845, 78986, 51136, 67031, 77458, 51076, 50905, 52320, 65443, 51910, 56210, 70721, 51910, 50911, 53092, 50845, 52028, 50845, 78986, 51136, 68571, 77458, 51076, 50905, 53028, 65794, 51416, 50961, 62302, 51311, 50915, 69432, 51169, 50981, 50415, 52458, 50961, 51067, 50995, 51292, 50995, 50416, 51684, 50961, 52585, 59757, 52474, 51379, 65741, 51334, 51274, 51544, 65443, 80097, 51574, 51043, 51311, 51043, 50960, 51233, 51169, 51233, 50427, 51067, 51337, 51292, 51337, 74906, 52474, 74792, 50896, 51570, 65794, 80097, 51334, 51274, 51180, 53704, 50961, 61038, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 65783, 77458, 52320, 65443, 80097, 51209, 57024, 70721, 80097, 51366, 50806, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 68571, 65783, 77458, 53028, 65794, 51602, 50930, 51229, 50896, 52012, 71042, 72103, 51317, 50981, 50415, 64387, 50947, 50995, 50416, 51349, 51500, 65741, 51544, 65443, 68661, 51229, 50896, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50929, 51337, 50947, 51337, 74906, 68661, 51570, 65794, 51349, 51566, 51229, 56050, 51209, 51285, 51180, 53704, 50961, 51366, 50806, 51574, 50845, 51846, 50845, 63880, 50998, 67031, 51076, 50905, 52320, 65443, 68661, 51322, 52931, 70721, 68661, 51366, 50806, 51574, 50845, 51846, 50845, 63880, 68242, 50457, 51076, 50905, 53028, 65794, 52474, 51566, 51674, 51469, 62302, 51846, 50915, 69432, 70700, 50415, 51076, 50995, 65741, 51544, 65443, 52474, 51566, 51953, 50824, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50427, 51076, 51337, 74906, 51570, 65794, 80097, 52421, 74856, 53704, 50961, 52474, 51566, 51953, 50802, 51574, 51115, 51846, 51115, 50960, 51310, 50998, 51310, 50445, 51076, 51318, 52320, 65443, 52421, 52325, 70721, 80097, 51953, 52442, 51621, 50828, 53028, 65794, 51602, 50930, 51664, 51358, 50416, 51349, 51500, 65741, 51544, 65443, 51349, 51566, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 51337, 74906, 51366, 51091, 51570, 65794, 51349, 51566, 51209, 50967, 51180, 53704, 50961, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 67840, 70721, 51664, 50807, 52012, 51115, 51574, 51115, 51207, 51310, 51317, 51310, 50457, 50998, 51318, 50947, 51318, 53028, 65794, 51349, 51566, 65741, 51664, 51358, 51544, 65443, 51349, 51566, 52949, 50824, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 51337, 74906, 51366, 50807, 51570, 65794, 51349, 51566, 53245, 50802, 51209, 50807, 51180, 53704, 50961, 51953, 50824, 51366, 50795, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 56210, 50852, 53704, 50961, 80097, 52421, 52442, 51621, 50828, 53028, 65794, 52584, 50930, 51547, 66139, 54423, 51500, 65741, 51547, 51358, 51544, 65443, 54423, 51566, 51934, 50983, 52028, 51043, 51246, 51043, 50998, 51233, 51078, 51233, 74906, 51674, 50795, 51570, 65794, 54423, 51566, 51590, 69339, 53704, 50961, 51934, 50795, 52028, 50845, 51246, 50845, 68242, 74893, 52320, 65443, 54423, 56210, 70721, 80097, 51547, 50807, 52028, 51115, 51246, 51115, 50998, 51310, 51078, 51310, 53028, 65794, 54423, 51566, 65741, 51547, 51358, 51544, 65443, 54423, 51566, 52421, 50824, 51934, 50983, 52028, 51043, 51246, 51043, 50998, 51233, 51078, 51233, 74906, 51674, 50795, 51556, 50828, 51570, 65794, 54423, 51566, 52421, 50802, 51590, 69339, 53704, 50961, 51617, 50824, 51934, 50795, 52028, 50845, 51246, 50845, 68242, 74893, 52320, 65443, 54423, 56210, 70721, 51526, 50911, 52421, 50802, 53028, 65794, 51910, 51566, 52977, 50802, 51590, 50795, 65741, 52421, 51795, 51590, 50983, 51544, 65443, 51910, 51566, 52031, 50795, 53092, 51043, 52028, 51043, 51131, 51233, 51136, 51233, 50427, 50947, 51337, 51076, 51337, 74906, 52031, 50807, 51570, 65794, 51910, 51566, 51590, 50807, 51180, 53704, 50961, 52031, 50795, 53092, 50845, 52028, 50845, 78986, 51136, 67031, 77458, 51076, 50905, 52320, 65443, 51910, 56210, 70721, 51526, 50911, 51590, 50795, 53092, 51115, 52028, 51115, 51131, 51310, 51136, 51310, 50457, 50947, 51318, 51076, 51318, 53028, 65794, 51910, 51566, 51590, 50795, 65741, 51590, 51091, 51544, 65443, 51910, 51566, 52421, 50824, 52031, 50967, 53092, 51043, 52028, 51043, 51131, 51233, 51136, 51233, 50427, 50947, 51337, 51076, 51337, 74906, 51570, 65794, 51910, 51566, 52421, 50802, 51590, 50807, 51180, 53704, 50961, 52421, 50802, 52031, 50795, 53092, 50845, 52028, 50845, 78986, 51136, 67031, 77458, 51076, 50905, 52320, 65443, 51910, 50911, 52421, 52325, 70721, 52585, 50911, 52977, 51352, 53028, 65794, 52474, 51566, 51366, 50795, 65741, 51366, 50807, 51510, 50828, 51544, 65443, 52474, 51566, 51934, 50807, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50427, 51076, 51337, 74906, 51547, 50983, 51570, 65794, 52474, 51566, 51229, 69339, 53704, 50961, 52421, 50802, 51590, 50795, 51574, 50845, 51846, 50845, 63880, 50998, 67031, 51076, 50905, 51618, 50828, 52320, 65443, 80097, 52977, 52325, 70721, 52585, 50911, 52421, 50802, 53028, 65794, 52474, 51566, 51953, 51029, 51366, 50795, 65741, 51366, 50795, 51544, 65443, 52474, 51566, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50427, 51076, 51337, 74906, 51953, 50802, 51366, 50795, 51570, 65794, 80097, 52421, 74856, 53704, 50961, 80097, 51617, 50802, 51366, 50807, 52320, 65443, 80097, 52977, 50824, 51229, 50795, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50451, 51076, 51337, 50456, 70721, 51602, 50911, 51621, 50828, 53028, 65794, 51349, 51566, 52421, 76678, 50807, 65741, 51953, 50824, 51544, 65443, 51349, 51566, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 75359, 75194, 50818, 51953, 51407, 51366, 50807, 51570, 65794, 51349, 51566, 51209, 69339, 53704, 50961, 51229, 50795, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 56210, 70721, 80097, 51664, 50807, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 68571, 67519, 77458, 51621, 50828, 53028, 65794, 51349, 51566, 52012, 71042, 72103, 51317, 50981, 50415, 70439, 50947, 50995, 65741, 51664, 51358, 51544, 65443, 51349, 51566, 52949, 50824, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 51337, 74906, 51366, 50807, 51570, 65794, 51349, 51566, 53245, 50802, 51209, 69339, 53704, 50961, 51953, 50824, 51229, 50795, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 56210, 70721, 80097, 52421, 52442, 53028, 65794, 54423, 51566, 51547, 50795, 65741, 51547, 50807, 51544, 65443, 54423, 51566, 51934, 50807, 52028, 51043, 51246 ]
[ 0, 250, 13363, 28191, 5175, 25771, 2125, 14, 36193, 5, 30443, 7, 10, 30837, 18747, 6, 7630, 14805, 10, 1472, 9, 2635, 12, 20764, 6942, 11, 10, 2933, 6, 25306, 9468, 4, 20, 6755, 12547, 8, 38668, 22052, 35810, 41, 364, 38537, 5797, 990, 1506, 6, 150, 5, 21072, 694, 10, 5204, 22293, 6, 8, 5, 20535, 483, 3639, 41, 97, 39860, 2842, 4, 8504, 11, 5, 762, 9, 274, 3694, 8, 3185, 30, 10, 5705, 16331, 33215, 16739, 9, 230, 119, 8, 274, 119, 6, 42, 15229, 11498, 10, 23667, 20889, 6, 2351, 41, 24111, 8, 24486, 6548, 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 ]	[ 67004, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 66325, 50857, 51201, 50813, 51629, 54036, 60413, 51093, 50864, 72214, 51629, 53383, 51093, 50844, 51201, 50925, 51629, 50810, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943 ]
[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 6755, 12547, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 4401, 757, 3178, 6, 8, 32909, 6, 2351, 10, 1313, 8, 2365, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 7212, 20889, 9, 15966, 741, 1685, 6, 5, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 83, 6, 381, 6, 8, 211, 35315, 5705, 6, 1271, 7, 5, 2214, 18, 17627, 17274, 8, 15352, 30054, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 70973, 50822, 51185, 58172, 51023, 50822, 51185, 53728, 52314, 51021, 51485, 50823, 51023, 50822, 51185, 54252, 51023, 50874, 51185, 53881, 52314, 50803, 51485, 50811, 51023, 50874, 51185, 58519, 51023, 50874, 51185, 54221, 51485, 50811, 52314, 50811, 51023, 50874, 51185, 56149, 51023, 50874, 51185, 55095, 50596, 59051, 52365, 56305, 52365, 52600, 51485, 50976, 52314, 50976, 51023, 50874, 51185, 72663, 64916, 51326, 55262, 51023, 50874, 51185, 54653, 51023, 50874, 51185, 57904, 51485, 50823, 52314, 50823, 51023, 50874, 51185, 55095, 50574, 52846, 79292, 51023, 50874, 51185, 54923, 56533, 65118, 53545, 51023, 50874, 51185, 54900, 52298, 50823, 51485, 50860, 51023, 50874, 51185, 58223, 51023, 50874, 51185, 50874, 53285, 50795, 51883, 50915, 51301, 50915, 51113, 50915, 51488, 50915, 52061, 50823, 51744, 50860, 51023, 50822, 51185, 53835, 67417, 79575, 56664, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51744, 51505, 51579, 50976, 51660, 50941, 51440, 50857, 52361, 69456, 50822, 51185, 56558, 51949, 56198, 53419, 50829, 54453, 50910, 53163, 58218, 51069, 50833, 51660, 50857, 51440, 50813, 52361, 50829, 51023, 50874, 51185, 54923, 51872, 52707, 52670, 51228, 50901, 51023, 50874, 51185, 56062, 51130, 52275, 53977, 50829, 54453, 50840, 53163, 57781, 51023, 50874, 51185, 54995, 53522, 53031, 51019, 50905, 51660, 50867, 51440, 50813, 52361, 69456, 50874, 51185, 58453, 51949, 56689, 53419, 50829, 53163, 50859, 54453, 59046, 51660, 50813, 51440, 50862, 52361, 50829, 51023, 50874, 51185, 54995, 56506, 52373, 53018, 51069, 73753, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 50835, 54453, 50795, 53163, 51173, 50441, 51023, 50874, 51185, 54995, 53522, 52875, 51660, 50886, 51440, 50886, 52361, 60686, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 51069, 50812, 51660, 50862, 51440, 50862, 52361, 50864, 51023, 50874, 51185, 54923, 51872, 52707, 50825, 54453, 50808, 53163, 54721, 51228, 59870, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 50825, 54453, 50836, 53163, 51754, 51019, 50892, 51660, 50886, 51440, 50834, 52361, 69456, 50874, 51185, 58453, 51792, 56689, 53246, 50829, 52631, 50890, 54688, 71428, 51660, 50835, 51440, 50862, 52361, 50908, 51023, 50874, 51185, 54995, 56506, 52707, 50835, 53285, 50901, 51023, 50822, 51185, 53835, 67417, 61851, 54949, 50825, 53163, 56025, 54453, 58767, 51023, 50822, 51185, 53255, 53522, 62307, 53163, 54507, 51579, 50823, 51744, 50823, 51660, 50867, 51440, 50820, 52361, 50835, 51023, 50822, 51185, 56558, 51949, 56198, 53419, 50829, 54453, 59109, 53163, 54477, 51069, 50810, 51660, 50862, 51440, 50813, 52361, 50864, 51023, 50874, 51185, 54923, 51872, 52707, 50837, 54453, 50955, 50424, 53163, 52712, 51228, 50905, 71733, 76550, 51023, 50874, 51185, 56062, 51130, 52275, 53977, 50829, 53163, 66765, 54453, 54660, 51023, 50874, 51185, 54995, 53522, 50825, 53163, 50978, 50431, 54453, 52209, 51019, 50845, 76550, 71733, 51660, 50864, 51440, 50867, 52361, 50941, 51023, 50874, 51185, 58453, 51949, 56689, 53419, 56516, 54453, 55486, 51660, 50886, 51440, 50857, 52361, 60686, 50874, 51185, 54995, 56506, 52373, 59131, 53163, 59921, 54453, 52444, 51069, 50845, 51744, 50975, 51579, 50975, 51023, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 50835, 53163, 72737, 54453, 55262, 51023, 50874, 51185, 54995, 53522, 59721, 53163, 50841, 54453, 53806, 51660, 50813, 51440, 50829, 52361, 65105, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 51069, 50874, 52314, 50976, 52067, 50802, 51660, 50867, 51440, 50862, 52361, 50834, 51023, 50874, 51185, 54923, 51872, 52707, 52743, 51228, 73753, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 53217, 51019, 50845, 71733, 53147, 50811, 51660, 50867, 51440, 50862, 52361, 60686, 50874, 51185, 58453, 51792, 56689, 53246, 54794, 51660, 50813, 51440, 50855, 52361, 50864, 51023, 50874, 51185, 54995, 56506, 52707, 50835, 56142, 50849, 51699, 50915, 51251, 50915, 51088, 50915, 51357, 50915, 53147, 51009, 51579, 51300, 51023, 50822, 51185, 53835, 67417, 61851, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51614, 50857, 51434, 50857, 51808, 69345, 50822, 51185, 56558, 51949, 56198, 53419, 54104, 51443, 50854, 51614, 50813, 51434, 50857, 51808, 50874, 51023, 50874, 51185, 54923, 51872, 52707, 52670, 51205, 59870, 50874, 51185, 56062, 51130, 52275, 53977, 54956, 51023, 50874, 51185, 54995, 53522, 53031, 50927, 50974, 51614, 50855, 51434, 50839, 51808, 69345, 50874, 51185, 58453, 51949, 56689, 53419, 54288, 51614, 50857, 51434, 50854, 51808, 50874, 51023, 50874, 51185, 54995, 56506, 52373, 53018, 78982, 51883, 50915, 51301, 50915, 51113, 50915, 51488, 50915, 52314, 51066, 52067, 51072, 51023, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 54656, 51023, 50874, 51185, 54995, 53522, 52875, 51660, 50813, 51440, 50813, 52361, 50886, 51023, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 51069, 50810, 51660, 50857, 51440, 50886, 52361, 60686, 50874, 51185, 54923, 51872, 52707, 52743, 51228, 50845, 51579, 50802, 51744, 50802, 51023, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 53217, 51019, 50905, 51485, 50860, 52314, 50860, 51660, 50825, 51440, 50857, 52361, 50886, 51023, 50874, 51185, 58453, 51792, 56689, 53246, 54794, 51660, 50813, 51440, 50855, 52361, 60686, 50874, 51185, 54995, 56506, 52707, 50835, 52288, 50873, 52371, 50915, 51491, 50915, 51113, 50915, 51107, 50915, 51023, 50822, 51185, 53835, 67417, 61851, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51485, 50823, 52314, 51021, 51944, 50857, 51440, 50835, 51669, 50835, 51023, 50822, 51185, 56558, 51949, 56198, 53419, 54104, 58883, 51944, 50867, 51440, 50813, 51669, 50941, 51023, 50874, 51185, 54923, 51872, 52707, 52670, 51213, 50892, 51485, 50811, 52314, 50803, 51023, 50874, 51185, 56062, 51130, 52275, 53977, 54956, 51023, 50874, 51185, 54995, 53522, 53031, 51011, 50892, 51485, 50811, 52314, 50811, 51944, 50886, 51440, 50835, 51669, 69996, 50874, 51185, 58453, 51949, 56689, 53419, 54288, 51944, 50857, 51440, 50857, 51669, 50886, 51023, 50874, 51185, 54995, 56506, 52373, 53018, 70296, 51485, 50976, 52314, 50976, 51023, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 54656, 51023, 50874, 51185, 56062, 51792, 53522, 52875, 51944, 50886, 51440, 50867, 51669, 50863, 51023, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 75412, 51485, 50823, 52314, 50823, 51944, 50813, 51440, 50857, 51669, 60686, 50874, 51185, 54923, 51872, 52707, 52743, 51213, 50873, 51023, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 53217, 51011, 50845, 52298, 50823, 51485, 50860, 51944, 50886, 51440, 50835, 51669, 50864, 51023, 50874, 51185, 56062, 54726, 51792, 56689, 53246, 54794, 51944, 50886, 51440, 50862, 51669, 65105, 50874, 51185, 56062, 51872, 56506, 52707, 50835, 53285, 50795, 51883, 50915, 51301, 50915, 51113, 50915, 51488, 50915, 52061, 50823, 51744, 50860, 51023, 50822, 51185, 53835, 67417, 79575, 56664, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51744, 51505, 51579, 50976, 51660, 50857, 51440, 50862, 52361, 50834, 51023, 50822, 51185, 56558, 51949, 56198, 53419, 50829, 53163 ]
[ 0, 250, 251, 6, 2933, 5175, 2125, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 13305, 7513, 30, 10, 18284, 594, 9, 31365, 6673, 6909, 111, 2003, 38704, 6, 1076, 560, 6, 579, 1517, 20426, 6, 8, 2724, 368, 4, 20, 15229, 16, 11, 5, 762, 9, 12608, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 10, 11956, 178, 5285, 20889, 9, 1812, 13410, 228, 2289, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 12608, 6, 163, 428, 406, 6, 12608, 6, 8, 163, 428, 6, 2351, 10, 15352, 30054, 8, 9066, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 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 ]	[ 57448, 50799, 56539, 50805, 51503, 65257, 72025, 75377, 51001, 63492, 51197, 51116, 51176, 51116, 50900, 51235, 50435, 51197, 50808, 51176, 67315, 54773, 51197, 51936, 50300, 62530, 60826, 60037, 56472, 52610, 51176, 51116, 50900, 51238, 50956, 51116, 50965, 51235, 50459, 51176, 67315, 69304, 63748, 50858, 54734, 69769, 57926, 72025, 75377, 50931, 51196, 60643, 51116, 51176, 51116, 50900, 51235, 50435, 51050, 50808, 51176, 67315, 54773, 51050, 50805, 51176, 62530, 57926, 60037, 56472, 52610, 51247, 51124, 51050, 51235, 51040, 51116, 50965, 51116, 51028, 51235, 50459, 51247, 50812, 51050, 50859, 51040, 63748, 50808, 80259, 61504, 67802, 52512, 50965, 52512, 51001, 51300, 50415, 51197, 55926, 52046, 60941, 51197, 63180, 52046, 59891, 51197, 58235, 52046, 54477, 51197, 60341, 52046, 52870, 51197, 56344, 52046, 55739, 51197, 58331, 52046, 59483, 51197, 56802, 52046, 58608, 51197, 54487, 52046, 50841, 50956, 63748, 78222, 59321, 51197, 53894, 52046, 67802, 67957, 70606, 52530, 50319, 51013, 50439, 51197, 55218, 52046, 60604, 51197, 60371, 52046, 60372, 51197, 57854, 52046, 54926, 51197, 58560, 52046, 53083, 51197, 65124, 51124, 50965, 51124, 51001, 51221, 50451, 52046, 55647, 51197, 59617, 52046, 60233, 51197, 58544, 52046, 58323, 51197, 54625, 52046, 50841, 56437, 60834, 65559, 50461, 51197, 50862, 50799, 56539, 50805, 51503, 60781, 58000, 73507, 54644, 50973, 53770, 50876, 54100, 51001, 53913, 51147, 64442, 60037, 56472, 52692, 50876, 51712, 50328, 55125, 51001, 51712, 50331, 55670, 50951, 51712, 50335, 50901, 54734, 51644, 50297, 51458, 50324, 51591, 52128, 51977, 53502, 59704, 71387, 50901, 53523, 59704, 71387, 53387, 50900, 59704, 71387, 53264, 50900, 60236, 65632, 53999, 50951, 51712, 50335, 55125, 51081, 51712, 50338, 55670, 51147, 51712, 50336, 50901, 53975, 63161, 51803, 51405, 51675, 58097, 71387, 50901, 53523, 55112, 50956, 57935, 63422, 50901, 55203, 53218, 50956, 71387, 60946, 51712, 50330, 55125, 50931, 51712, 50333, 51514, 50302, 55069, 50956, 57935, 73507, 51712, 50331, 50901, 55547, 51911, 50301, 71323, 51911, 50331, 50943, 58097, 79322, 55035, 51234, 52019, 50302, 75203, 51734, 50329, 64919, 51040, 59704, 50901, 55203, 51455, 50292, 59258, 77877, 62682, 50916, 71387, 55125, 51040, 51568, 50293, 62163, 51734, 50326, 63505, 51040, 59704, 50901, 54960, 50820, 51197, 73658, 77921, 51081, 51803, 58097, 71387, 58722, 55035, 50956, 71387, 58722, 53387, 50956, 71387, 58722, 53264, 50956, 65632, 58363, 53999, 50956, 71387, 58722, 79110, 54058, 50956, 71387, 58722, 63698, 54771, 50956, 71387, 58722, 75855, 50892, 55881, 65909, 51242, 58097, 57292, 68434, 50974, 56040, 67816, 68434, 64369, 51328, 64551, 67816, 71277, 52718, 50956, 64675, 71277, 58903, 51277, 61614, 64675, 71277, 55437, 50956, 72457, 58902, 66257, 77146, 50956, 72457, 75867, 50838, 55881, 71321, 72457, 51481, 51001, 51243, 51028, 51748, 50420, 51197, 71321, 58309, 51197, 71321, 71395, 51753, 50432, 51197, 71321, 67458, 52046, 52216, 50295, 52858, 50309, 51884, 50444, 52046, 52216, 50295, 63050, 53777, 51108, 51652, 50943, 51979, 50943, 56469, 52026, 50283, 52216, 50295, 76936, 59435, 52046, 52216, 50295, 51387, 50799, 53777, 51080, 52185, 51103, 52656, 51103, 56381, 51080, 50965, 75370, 51853, 50288, 53164, 50300, 51108, 58097, 51884, 56546, 78502, 52518, 64551, 51824, 50438, 53250, 51108, 52185, 50943, 52380, 50943, 56381, 51517, 50288, 53126, 50300, 51108, 61614, 51884, 50450, 57147, 51108, 52185, 50943, 52656, 50943, 56381, 61341, 78502, 52518, 72407, 51824, 78857, 51080, 52185, 51103, 52656, 51103, 54833, 51080, 51247, 53126, 50297, 51108, 53502, 51884, 56546, 78502, 52518, 56014, 51824, 50438, 53250, 51108, 52185, 50943, 51978, 50943, 54833, 51517, 50285, 53126, 50297, 51108, 55513, 51884, 50450, 55343, 51108, 52185, 50943, 51978, 50943, 54833, 73279, 78502, 52518, 50456, 51040, 51824, 50799, 53777, 52431, 52185, 51127, 51979, 51518, 56469, 51449, 52046, 53126, 50295, 51108, 58097, 51884, 60564, 78502, 52518, 64551, 51824, 50438, 51652, 51047, 52046, 53126, 50295, 51108, 61614, 51884, 50450, 55343, 52056, 52380, 74685, 64675, 52518, 50456, 50956, 51824, 79705, 51080, 52185, 51103, 52380, 51103, 56381, 51080, 51503, 53164, 50300, 51108, 58097, 51884, 56546, 78502, 52518, 64551, 51824, 50438, 53777, 51108, 52185, 50943, 52380, 50943, 55297, 62447, 52454, 50292, 52011, 61614, 51884, 50450, 56853, 51108, 51643, 50943, 52380, 50943, 56381, 61341, 78502, 52518, 51176, 52454, 50288, 52025, 50456, 50956, 51824, 50799, 56853, 51330, 52226, 51518, 52608, 50943, 56469, 52140, 52046, 55036, 50295, 51333, 58097, 51884, 50426, 53863, 51330, 52436, 75127, 72397, 52518, 64551, 51824, 50438, 53407, 52056, 52656, 51109, 52046, 53126, 50295, 63236, 50965, 51884, 50450, 53777, 51108, 52226, 50943, 51979, 50943, 55329, 73279, 64675, 52518, 50456, 50956, 51824, 50799, 53777, 51080, 51643, 50943, 52656, 50943, 56381, 51080, 51503, 51703, 51176, 51314, 58097, 51884, 50426, 51721, 51109, 52608, 51109, 51001, 72397, 52518, 64551, 51884, 50438, 53777, 51108, 52185, 50943, 52394, 50943, 56381, 58327, 78502, 52518, 51176, 52454, 50288, 52025, 61614, 51884, 50450, 53407, 51108, 51667, 50943, 52394, 50943, 54833, 75939, 67252, 52518, 51050, 52454, 50285, 52025, 50456, 50871, 51824, 77632, 52431, 51721, 50943, 52228, 50943, 55329, 51449, 51234, 55036, 50302, 51333, 55961, 51884, 50426, 51831, 51121, 53628, 63402, 78502, 52518, 50432, 51652, 59198, 51824, 50438, 52185, 51047, 51978, 51734, 50278, 54590, 50290, 51108, 55989, 51884, 50450, 53407, 52056, 52608, 51121, 50906, 78502, 52518, 50456, 52228, 66867, 51824, 50799, 53777, 51080, 51652, 50914, 52608, 51103, 56469, 59478, 64675, 52518, 51197, 52454, 50283, 52025, 58097, 51884, 50426, 52185, 50943, 54833, 68470, 51884, 51050, 52454, 50285, 52025, 64551, 51884, 50438, 53777, 51108, 51721, 50943, 52608, 50943, 55291, 59478, 51884, 51026, 52454, 50287, 52025, 61614, 51884, 50450, 53777, 51108, 51652, 50943, 53580, 50943, 56469, 73279, 64675, 52518, 52046, 55036, 50295, 69173, 50956, 51824, 50799, 56853, 51080, 52185, 51103, 52394, 50943, 54833, 51080, 51247, 52212, 51050, 51314, 69980, 52858, 50316, 58069, 51978, 51109, 50965, 52858, 50316, 52858, 50324, 56427, 50965, 52858, 50316, 52858, 50321, 58151, 53863, 51108, 51643, 50943, 52491, 50943, 55297, 51517, 50280, 52212, 51085, 79882, 50906, 52858, 50316, 52858, 50323, 58369, 53863, 51108, 51721, 50943, 52491, 50943, 55297, 64897, 52858, 50316, 52858, 50320, 59111, 50906, 52858, 50316, 51079, 78857, 51080, 52185, 50943, 51978, 51103, 59441, 51080, 52759, 52212, 51360, 51314, 55961, 52858, 50312, 52858, 50321, 58069, 51721, 62646, 76382, 75598, 57123, 50871, 76382, 52858, 50321, 58151, 53250, 51108, 52185, 50943, 51978, 50943, 57721, 51517, 50285, 53126, 50297, 63236, 50965, 52858, 50316, 58369, 55343, 51108, 52185, 50943, 53580, 50943, 54833, 68470, 52858, 50317, 52104, 50297, 52454, 50285, 52025, 50456, 50965, 51824, 50799, 53777, 51447, 51652, 51518, 53580, 50943, 56469, 52140, 52046, 55036, 50295, 51333, 55902, 51884, 50426, 53628, 71323, 52104, 50317, 52518, 58319, 51824, 50438, 53863, 51330, 52608, 51734, 50295, 52454, 50283, 52025, 58365, 51884, 50450, 53407, 52056, 52185, 50845, 53580 ]
[ 0, 250, 1769, 12, 20764, 8, 15352, 30054, 15229, 14, 28337, 4785, 9, 15855, 8, 5175, 930, 6, 42, 765, 2214, 11, 2060, 538, 1575, 10, 13305, 25, 5, 6922, 10320, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 9680, 13410, 228, 2289, 6, 24, 7630, 6568, 41, 20425, 8, 25306, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 814, 5422, 50, 9066, 3423, 15, 2441, 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 ]	[ 58375, 51360, 58172, 51360, 53004, 51176, 53591, 51027, 52580, 51360, 58519, 51360, 52739, 51176, 53720, 51027, 52788, 50634, 51360, 58666, 50634, 51360, 53086, 50634, 51176, 54043, 50634, 51027, 52989, 50634, 51360, 59835, 50633, 51360, 53176, 50633, 51378, 54529, 50633, 51176, 50827, 58375, 51360, 58172, 51360, 53004, 51176, 53591, 51027, 52580, 51360, 58519, 51360, 52739, 51176, 53720, 51027, 52788, 50634, 51360, 58666, 50634, 51360, 53086, 50634, 51176, 54043, 50634, 51027, 52989, 50634, 51360, 59835, 50633, 51360, 53176, 50633, 51378, 54529, 50633, 51176, 50827, 58375, 51360, 50822, 51405, 63118, 51360, 53004, 51176, 53591, 68719, 51405, 54335, 51360, 56552, 51360, 54150, 51176, 50851, 51405, 65867, 51027, 54793, 50634, 51360, 60887, 50634, 51360, 50907, 51405, 69655, 50634, 51176, 57764, 50634, 51027, 54626, 50634, 51360, 50984, 51405, 78983, 50633, 51360, 56838, 50633, 51378, 62065, 50633, 51176, 51123, 51405, 54298, 58375, 51360, 51123, 50417, 51360, 59895, 51176, 51022, 51405, 51432, 50423, 51027, 55124, 51360, 70545, 51360, 51269, 51405, 52731, 50432, 51176, 70855, 51027, 61929, 50634, 51360, 70546, 50634, 51360, 62622, 50634, 51176, 51269, 50447, 50634, 51027, 60205, 50634, 51360, 51022, 50453, 50633, 51360, 56773, 50633, 51378, 57467, 50633, 51176, 50827, 58375, 51360, 80021, 63118, 51360, 54351, 51176, 50844, 50989, 62149, 51027, 53450, 51360, 50844, 50965, 64318, 51360, 53513, 51176, 50844, 51040, 60234, 51027, 53614, 50634, 51360, 50810, 50973, 62532, 50634, 51360, 53783, 50634, 51176, 50844, 50906, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 50965, 65371, 50633, 51360, 54194, 50633, 51378, 50844, 50989, 60977, 50633, 51176, 50844, 58375, 51360, 80021, 63118, 51360, 54351, 51176, 50844, 50900, 79322, 63867, 51027, 53450, 51360, 50844, 51086, 71387, 64627, 51360, 53513, 51176, 50844, 50997, 51712, 50305, 61647, 51027, 53614, 50634, 51360, 50810, 50973, 62532, 50634, 51360, 53783, 50634, 51176, 50844, 50906, 60785, 50633, 51027, 54004, 50633, 51360, 50844, 50965, 65371, 50633, 51360, 54194, 50633, 51378, 50844, 50989, 60977, 50633, 51176, 50844, 57497, 80021, 63118, 50634, 51360, 54351, 51176, 50844, 50989, 62149, 51027, 53450, 51360, 50844, 50965, 64318, 51360, 53513, 51176, 50844, 51040, 60234, 51027, 53614, 51360, 50810, 50973, 62532, 51360, 53783, 51176, 50844, 50906, 60785, 51027, 54004, 51360, 50844, 50965, 65371, 51360, 54194, 51378, 50844, 50989, 60977, 51176, 50844, 57497, 80021, 73787, 51911, 50300, 75860, 51293, 50417, 51360, 54351, 51176, 50844, 50989, 62149, 51027, 53450, 51360, 50844, 50965, 64318, 51360, 53513, 51176, 50844, 51040, 60234, 51027, 53614, 50634, 51360, 50810, 50906, 62532, 50634, 51360, 53783, 50634, 51176, 50844, 50965, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 50973, 65371, 50633, 51360, 54194, 50633, 51378, 50844, 51028, 60977, 50633, 51176, 50844, 58375, 51360, 57035, 51445, 50965, 51353, 51040, 52121, 50417, 51360, 54351, 51176, 55266, 51027, 53450, 51360, 57250, 51360, 53513, 51176, 55167, 51027, 53614, 50634, 51360, 56532, 50634, 51360, 53783, 50634, 51176, 55876, 50634, 51027, 54004, 50634, 51360, 58305, 50633, 51360, 54194, 50633, 51378, 56569, 50633, 51176, 50844, 58375, 51360, 50810, 51001, 51008, 50417, 51360, 50844, 50906, 53004, 51176, 50844, 50956, 56174, 51027, 50810, 51001, 53881, 51360, 50810, 50906, 58519, 51360, 70833, 53193, 51176, 50854, 51001, 54378, 51027, 69862, 53614, 50634, 51360, 50833, 50956, 58709, 50634, 51360, 50833, 51001, 53783, 50634, 51176, 50812, 50906, 54803, 50633, 51027, 66966, 52843, 50633, 51360, 50812, 51001, 57622, 50633, 51360, 59473, 54424, 50633, 51378, 68519, 57651, 50633, 51176, 59473, 50833, 51034, 51360, 50810, 50931, 51328, 51040, 51293, 50871, 51445, 50965, 79634, 50634, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50931, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50931, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50968, 51328, 50417, 51360, 54351, 51378, 50844, 51028, 56909, 51176, 53450, 51360, 50844, 50968, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50968, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50931, 51328, 50417, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50931, 58125, 51360, 53513, 51378, 50844, 51028, 56784, 51176, 53614, 51360, 50810, 50931, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50968, 51328, 50417, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50968, 58125, 51360, 53513, 50634, 51176, 50844, 51028, 68232, 50634, 50435, 51027, 68522, 50634, 50438, 50633, 51360, 50810, 50968, 68861, 50633, 51360, 76772, 50633, 50444, 51378, 50844, 51028, 67446, 50633, 50447, 50633, 51176, 50844, 51034, 51360, 50810, 50931, 51328, 50417, 50634, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50931, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50931, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50968, 51328, 50417, 51360, 54351, 51378, 50844, 51028, 56909, 51176, 53450, 51360, 50844, 50968, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50968, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51057, 51360, 50810, 50931, 51328, 50417, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 50634, 51360, 50810, 50931, 77847, 50634, 50429, 50634, 51360, 73418, 50634, 50431, 50634, 50432, 50633, 51378, 50844, 51028, 68232, 50633, 50435, 50633, 51176, 50844, 58375, 51360, 50810, 51028, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50876, 62149, 51027, 53450, 51360, 50844, 50973, 51568, 50329, 50981, 50429, 51360, 53513, 51176, 50844, 50876, 60234, 51027, 53614, 50634, 51360, 50810, 51028, 51455, 50329, 63939, 50634, 51360, 53783, 50634, 51176, 50844, 50876, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 50973, 51568, 50329, 77204, 50633, 51360, 54194, 50633, 51378, 50844, 50876, 60977, 50633, 51176, 50844, 58375, 51360, 50810, 51028, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50902, 62149, 51027, 53450, 51360, 50844, 51028, 51568, 50329, 50981, 50429, 51360, 53513, 51176, 50844, 50876, 60234, 51027, 53614, 50634, 51360, 50810, 51028, 51455, 50329, 63939, 50634, 51360, 53783, 50634, 51176, 50844, 50902, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 51028, 51568, 50329, 77204, 50633, 51360, 54194, 50633, 51378, 50844, 50876, 60977, 50633, 51176, 50844, 58375, 51360, 50810, 51028, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50902, 62149, 51027, 53450, 51360, 50844, 51001, 51568, 50329, 50981, 50429, 51360, 53513, 51176, 50844, 50902, 60234, 51027, 53614, 50634, 51360, 50810, 51028, 51455, 50329, 63939, 50634, 51360, 53783, 50634, 51176, 50844, 50902, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 51001, 51568, 50329, 77204, 50633, 51360, 54194, 50633, 51378, 50844, 50902, 60977, 50633, 51176, 50844, 58375, 51360, 50810, 51001, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50968, 62149, 51027, 53450, 51360, 50844, 51001 ]
[ 0, 250, 2933, 8, 9066, 3152, 2214, 19, 5175, 4785, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 8, 38668, 18569, 6, 2351, 41, 20425, 8, 814, 12, 21330, 5466, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 41, 12447, 1001, 20889, 6, 5830, 13363, 28191, 34879, 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 ]	[ 58375, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 73271, 59054, 59054, 59054, 59054, 59054, 61916, 51085, 52175, 51279, 54098, 63529, 63529, 63529, 63529, 63529, 76940, 59134, 59134, 59134, 59134, 59134, 61916, 50799, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 51473, 51732, 51473, 51732, 51473, 51732, 51473, 51732, 51473, 51732, 51473, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 67285, 67285, 67285, 67285, 67285, 67285, 50803, 53723, 54093, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 67285, 67285, 67285, 67285, 67285, 67285, 50803, 50799, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 51473, 54217, 51473, 54217, 51473, 54217, 51473, 54217, 51473, 54217, 51473, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 63619, 63619, 63619, 63619, 63619, 63619, 61916, 51085, 52175, 77312, 77312, 77312, 77312, 77312, 77312, 51279, 54098, 61916, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 57325, 52305, 50803, 52305, 50803, 52305, 50803, 52305, 50803, 52305, 50803, 52305, 50803, 51521, 50803, 51521, 50803, 51521, 50803, 51521, 50803, 51521, 50803, 51521, 52163, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 73271, 59054, 59054, 59054, 59054, 59054, 52413, 67795, 52175, 51279, 54098, 63529, 63529, 63529, 63529, 63529, 76940, 59134, 59134, 59134, 59134, 59134, 62347, 50799, 51942, 54217, 51942, 54217, 51942, 54217, 51942, 54217, 51942, 54217, 51942, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 61916, 51085, 52410, 51785, 69259 ]
[ 0, 250, 20902, 5175, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 5544, 12547, 9, 1893, 43639, 6, 326, 5638, 18026, 6, 21979, 8669, 6, 2003, 38704, 31365, 25999, 6, 8, 20535, 2810, 4, 8504, 11, 5, 762, 9, 12608, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 32076, 8, 20425, 2365, 16464, 149, 63, 15352, 30054, 15229, 4, 20, 33215, 16739, 9, 2060, 406, 6, 163, 43531, 6, 2060, 406, 6, 8, 163, 428, 406, 3639, 7, 63, 14899, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 52211, 50981, 53542, 51145, 56636, 53082, 52489, 53082, 62828, 50981, 56404, 58326, 52298, 51003, 53175, 50981, 64795, 50981, 54727, 56692, 52061, 50914, 52701, 51145, 54961, 53082, 58881, 50981, 53580, 57105, 51744, 50889, 52384, 50981, 58166, 50981, 52491, 50981, 50799, 52264, 50824, 53542, 51145, 52377, 51145, 56381, 50981, 52656, 58326, 53147, 50824, 53175, 50981, 53084, 50981, 60985, 50981, 53319, 56692, 55078, 50824, 52701, 51145, 54006, 51145, 52489, 51145, 52425, 51742, 59441, 50981, 53979, 50981, 52365, 57512, 52365, 62968, 52365, 54129, 52365, 60869, 52365, 59135, 52365, 55059, 52365, 57795, 52365, 52768, 57317, 50824, 52384, 50824, 53572, 50824, 57065, 50824, 53625, 67067, 52365, 55552, 52365, 59730, 52365, 60370, 52365, 54871, 52365, 50803, 50799, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 52489, 50803, 57065, 50803, 53319, 52001, 76957, 78706, 51066, 52399, 54433, 51240, 53450, 57317, 51066, 53175, 51066, 52384, 51066, 53084, 51066, 53572, 51066, 54961, 51066, 52489, 51066, 52425, 51066, 57065, 51066, 53319, 51066, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 50843, 68675, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 52001, 76957, 78706, 51066, 54032, 55373, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 57052, 54004, 51170, 53948, 53025, 55680, 51240, 54194, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 51670, 61261, 51240, 50892, 55986, 76957, 78706, 68107, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 53319, 52001, 54433, 51240, 53450, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 57317, 50802, 53175, 50802, 52384, 50802, 53084, 50802, 53572, 50802, 54961, 50802, 52489, 50802, 52425, 50802, 57065, 50802, 53319, 61261, 51240, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 52001, 76957, 78706, 51066, 54032, 55373, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 57052, 54004, 51170, 56944, 51599, 51066, 50453, 51240, 54194, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 52702, 68675, 50892, 50799, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 53319, 52001, 76957, 78706, 51066, 52399, 54433, 51240, 53450, 57317, 51066, 53175, 51066, 52384, 51066, 53084, 51066, 53572, 51066, 54961, 51066, 52489, 51066, 52425, 51066, 57065, 51066, 53319, 51066, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 50843, 68675, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 52001, 76957, 78706, 51066, 54032, 55373, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 57052, 54004, 51170, 53948, 53025, 55680, 51240, 54194, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 51670, 61261, 51240, 50892, 55986, 76957, 78706, 68107, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 53319, 52001, 54433, 51240, 53450, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 57317, 50802, 53175, 50802, 52384, 50802, 53084, 50802, 53572, 50802, 54961, 50802, 52489, 50802, 52425, 50802, 57065, 50802, 53319, 61261, 51240, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 59603, 53816, 76957, 78706, 51066, 50440, 52365, 55604, 52365, 59808, 52365, 52986, 52365, 53816, 61409, 52365, 54847, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 59603, 55215, 64913, 52365, 53057, 52365, 56128, 56944, 51599, 51066, 50452, 52365, 55007, 52365, 55215, 74022, 52365, 52920, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 77293, 53816, 68675, 73752, 52365, 54991, 52365, 56842, 52365, 50834, 79821, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 52906, 54433, 51240, 53450, 55078, 51059, 57317, 51059, 52701, 51059, 54006, 51059, 54961, 51029, 52310, 50993, 51888, 51029, 59441, 51059, 53580, 51059, 51170, 53948, 50824, 52669, 51160, 50766, 50281, 67270, 51240, 53513, 50852, 68675, 60234, 51906, 50993, 52343, 51160, 50766, 50283, 61445, 51170, 78706, 53681, 50852, 50802, 52343, 50806, 50766, 50283, 55373, 51240, 54004, 51170, 53948, 50824, 53724, 50806, 77721, 55680, 51240, 54194, 50852, 68675, 50892, 52413, 50806, 50766, 50279, 50802, 79821, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 52906, 54433, 51240, 53450, 51170, 53948, 50824, 52669, 51160, 50766, 50281, 67270, 51240, 53513, 50852, 68675, 60234, 52413, 51160, 50766, 50279, 61445, 51170, 78706, 53681, 50852, 50802, 52413, 50806, 50766, 50279, 55373, 51240, 54004, 51170, 53948, 50824, 53724, 50806, 77721, 55680, 51240, 54194, 50852, 68675, 50892, 52413, 50806, 50766, 50279, 50802, 79821, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 52906, 54433, 51240, 53450, 51170, 53948, 50824, 52669, 51160, 50766, 50281, 67270, 51240, 53513, 50852, 68675, 60234, 52343, 51160, 50766, 50283, 61445, 51170, 78706, 53681, 50852, 50802, 52343, 50806, 50766, 50283, 55373, 51240, 54004, 51170, 53948, 50824, 53724, 50806, 77721, 55680, 51240, 54194, 50852, 68675, 50892, 52413, 50806, 50766, 50279, 50802, 73545, 61960, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 50416, 51289, 61158, 51289, 53299, 51289, 56192, 60449, 51289, 55946, 51240, 74298, 51289, 54156, 51289, 67153, 53948, 50824, 52669, 51160, 50766, 50281, 50993, 50428, 51289, 56865, 51240, 73418, 51289, 53695, 51289, 55064, 68675, 71648, 51289, 55782, 52413, 51160, 50766, 50279, 50993, 50436, 51289, 52444, 51289, 55507, 78706, 50824, 50440, 51289, 66607, 51289, 55489, 51289, 56034, 50802, 52413, 50806, 50766, 50279, 61409, 51289, 57782, 51240, 71765, 51289, 54411, 51289, 57549, 53948, 50824, 53724, 50806, 77721, 69986, 51289, 61702, 51240, 69500, 51289, 55577, 51289, 58558, 68675, 50892, 52413, 50806, 50766, 50279, 59868, 51289, 51010, 50460, 51289, 51010, 79821, 51363, 51289, 51066, 50417, 56841, 54901, 51240, 50844, 56841, 52422, 51170, 50844, 56841, 57200, 51240, 53513, 51240, 50892, 56841, 53660, 54542, 52322, 51170, 51363, 50441, 54542, 55967, 51240, 50844, 57454, 52610, 51170, 58305, 51240, 50844, 57454, 52935, 51240, 50892, 57454, 50806, 79821, 51363, 50417, 58003, 50806, 57355, 54901, 51240, 50844, 58003, 50821, 57355, 52422, 51170, 50844, 58003, 50806, 57355, 57200, 51240 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 3459, 13305, 6, 13305, 6, 6755, 12547, 6, 8, 21072, 6, 278, 11, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 272, 538, 6, 19, 5, 40286, 272, 8, 211, 16331, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 53997, 51227, 51085, 51500, 51182, 66741, 51505, 79334, 51483, 50415, 51182, 51337, 50422, 50916, 69245, 62053, 62053, 63835, 63835, 50809, 51600, 51233, 51600, 66741, 56731, 50816, 57469, 50861, 61130, 62282, 50890, 51182, 51233, 50430, 50916, 50846, 50916, 67974, 50809, 51182, 51423, 50791, 54192, 75483, 51214, 65086, 51505, 50852, 66810, 55734, 51214, 51294, 51266, 51233, 51266, 51043, 50445, 50916, 68877, 59244, 59244, 63835, 60407, 50809, 51107, 51337, 51107, 51233, 55605, 50887, 50452, 51093, 51363, 50453, 50916, 69245, 62053, 62053, 62282, 63835, 50809, 51093, 51412, 50791, 54192, 51010, 50460, 51107, 67248, 51505, 50852, 51653, 50461, 51120, 51189, 51120, 50983, 51107, 71732, 50894, 52591, 50871, 63307, 59244, 59244, 66868, 62448, 58089, 65039, 54690, 52374, 75980, 50902, 70248, 69348, 63307, 59244, 62053, 66868, 62448, 51559, 53989, 63043, 51357, 51797, 51357, 51642, 50436, 51214, 50983, 50852, 71944, 72581, 51214, 51189, 51088, 52256, 51088, 51961, 57428, 62465, 61368, 61368, 66365, 73849, 61666, 59086, 51559, 54898, 50962, 61695, 79857, 50902, 69687, 69348, 63307, 59244, 62053, 64727, 64005, 54546, 51010, 50460, 51085, 51189, 51085, 50983, 51093, 63238, 51505, 50852, 71944, 72023, 51093, 51363, 53069, 50861, 59244, 60407, 54507, 50916, 67885, 63287, 50855, 51182, 51242, 51182, 51101, 50816, 52374, 61749, 51093, 51328, 50428, 50916, 68877, 59244, 59244, 63835, 60407, 50809, 51093, 51481, 50791, 53412, 61968, 51357, 51797, 50436, 51214, 51310, 51214, 51295, 51357, 52059, 50791, 51505, 50852, 51460, 62471, 50443, 50902, 67904, 62847, 62379, 60924, 61368, 67046, 64005, 50857, 51088, 52482, 51088, 52059, 70683, 51180, 72860, 50902, 67904, 62847, 62379, 60924, 61368, 67046, 64005, 50857, 51107, 51172, 51107, 51412, 50791, 53989, 67172, 51085, 51241, 51085, 51204, 51093, 52528, 51093, 52140, 50791, 51388, 52723, 51104, 51354, 52478, 50861, 61368, 60407, 54690, 72808, 50916, 66446, 61547, 52873, 68133, 61749, 50916, 74296, 61508, 61508, 67661, 70934, 53500, 52374, 69873, 51214, 51391, 51214, 51241, 51556, 51505, 50852, 71944, 62505, 50916, 65802, 67128, 68128, 61686, 60924, 55459, 50962, 50443, 50791, 50887, 56594, 55254, 50916, 50846, 50916, 69688, 69688, 72854, 67974, 52538, 51392, 65083, 51981, 51653, 51981, 50993, 51085, 51226, 51085, 51573, 51335, 53174, 50791, 51505, 52055, 51225, 51653, 52177, 50876, 63835, 59748, 52948, 51483, 52948, 50975, 50916, 69245, 62053, 62053, 53228, 72808, 50791, 50887, 55429, 61953, 51981, 51653, 51981, 50993, 56248, 50846, 50916, 69688, 70215, 72854, 67974, 53683, 52374, 72090, 51818, 51483, 51818, 73637, 51214, 51204, 51214, 51294, 50852, 71944, 58040, 51457, 51483, 51457, 50975, 50861, 59244, 60407, 53228, 50962, 50442, 50916, 68877, 60407, 52873, 59248, 51327, 51653, 51327, 50993, 50916, 67801, 61686, 61686, 67974, 60407, 53228, 50962, 52320, 70000, 51457, 51745, 51457, 51059, 51214, 51295, 51214, 62343, 52633, 56425, 51653, 52177, 50902, 68854, 63336, 60365, 61381, 61381, 66272, 65523, 56394, 52374, 50840, 61797, 68712, 51672, 51427, 51672, 51460, 50973, 73849, 62475, 50902, 64204, 62847, 62221, 62614, 60924, 53340, 53989, 55736, 51231, 51343, 51231, 51274, 51120, 51218, 51120, 67425, 51483, 50852, 51603, 50433, 50798, 50930, 50440, 50871, 60365, 61381, 62614, 66499, 65523, 63665, 61666, 54494, 50930, 51572, 59787, 50902, 69687, 69348, 62465, 61368, 62053, 66868, 62448, 51559, 53989, 72091, 51457, 65202, 51457, 51870, 51324, 51189, 51324, 55157, 51739, 51505, 50852, 51483, 51601, 50816, 50962, 50416, 50902, 67904, 60500, 67504, 62614, 62614, 66499, 73849, 50867, 51402, 77740, 56731, 50973, 61880, 50899, 66675, 59244, 61368, 67046, 61666, 61420, 54690, 52374, 71586, 51231, 51472, 51231, 51661, 50432, 51214, 51141, 51214, 51364, 52723, 51104, 51483, 79807, 61508, 66824, 62379, 66499, 73849, 55296, 52633, 77118, 50902, 64204, 73816, 57782, 50871, 62465, 61368, 59244, 66365, 64005, 59086, 65039, 54690, 52374, 70896, 51981, 51472, 51981, 52195, 51085, 51204, 51085, 74120, 51505, 50852, 71944, 50882, 54594, 61368, 63287, 61547, 65600, 50916, 64607, 54546, 50930, 50416, 50791, 67237, 50791, 61135, 50876, 55155, 50916, 66446, 60924, 61368, 63287, 55459, 52374, 58288, 51818, 51761, 51818, 51029, 55994, 51388, 50852, 51354, 50431, 51214, 51619, 50287, 56001, 56341, 50916, 61687, 59602, 60924, 61547, 61547, 54690, 50962, 60644, 65781, 50791, 61998, 50916, 66446, 60924, 61368, 63287, 61547, 51581, 50287, 50854, 51214, 53825, 52374, 61807, 51981, 51483, 51981, 50975, 51085, 51362, 51085, 72167, 52374, 51388, 50852, 51354, 50461, 52948, 50975, 50876, 60407, 50809, 50799, 52948, 51483, 50861, 61686, 50846, 50916, 67885, 55459, 51130, 69388, 51981, 50991, 51981, 51160, 50876, 60407, 51421, 69079, 50916, 67885, 61368, 59244, 53228, 62753, 51818, 51653, 51818, 55886, 51505, 52055, 51225, 51460, 50430, 51214, 51141, 51214, 51364, 50437, 51457, 51354, 51457, 51483, 50916, 67885, 61368, 59244, 60407, 60407, 53228, 50949, 51570, 50890, 55820, 65266, 51327, 51160, 51327, 51427, 50916, 68877, 59244, 59244, 63835, 60407, 52634, 51130, 50930, 50452, 51457, 51745, 51457, 51059, 50453, 51120, 51191, 51120, 51204, 50791, 51388, 50852, 66810, 50962, 56875, 68789, 50871, 62221, 62614, 60924, 66499, 65523, 63665, 61420, 52217, 50887, 52591, 51672, 50975, 51672, 50975, 50973, 64005, 53111, 53989, 51010, 50421, 50871, 62465, 61368, 59244, 62176, 65039, 67161, 51231, 51343, 51231, 51274, 51214, 51218, 51214, 57068, 51388, 50852, 66810, 50962, 50436, 50973, 64005, 54546, 51041, 58566, 50871, 62465, 61368, 59244, 62176, 65039, 50836, 66651, 53806, 50861, 61686, 77360, 69348, 63307, 66365, 64005, 53111, 64733, 50902, 53754, 51031, 50452, 51327, 51653, 51327, 50993, 51085, 74120, 51388, 50852, 66810, 56328, 51085, 51204, 50460, 51981, 51095, 51981, 51175, 50916, 69245, 62053, 62053, 63835, 60407, 52634, 52633, 50890, 52591, 51327, 51175, 51327, 51379, 50916, 69245, 62053, 59244, 63835, 63835, 52634, 67339, 50428, 51672, 50967, 51672, 51215, 51214, 51274, 51214, 65522, 51388, 50852, 79890, 61968, 51231, 51175, 51231, 51175, 50973, 54494, 50962, 50436, 50871, 71142, 69688, 69688, 70882, 60810, 50846, 50973, 53111, 71647, 70683, 66651, 67106, 51457, 51192, 51457, 51286, 50871, 63307, 59244, 62053, 64727, 66499, 65039, 65039, 52675, 55960, 50962, 52320, 51354, 50852, 51603, 50451, 51327, 54055, 51327, 51795, 51085, 51204, 51085, 61025, 60343, 50876, 67661, 69498, 68877, 59244, 59244, 53228, 50961, 64402, 50809, 51809, 58005, 50419, 50916, 69498, 72854, 67974, 70215, 61130, 52634, 52374, 54392, 51335, 53174, 50427, 51214, 52297, 50287, 55706, 56425, 51460, 65664, 50434, 50916, 68877, 59244, 62053, 62282, 63835, 53307, 50816, 52374, 50890, 60644, 55960, 74173, 51085, 51731, 50292, 75509, 61027, 57094, 58263, 58681, 58681, 50805, 50443, 50816, 52374, 54411, 51818, 51653, 51818, 50993, 51279, 51362, 51279, 51541, 50791, 51505, 50852, 51483, 50451, 50798, 74653, 50877, 63100, 63287, 62705, 51825, 51653, 51825, 50993, 50916, 68677, 62780, 55071, 52374, 50890, 52177, 50877, 62391, 52217, 61134, 51818, 51483, 51818, 50975, 50916, 68677, 62780, 63287, 54690, 50962, 50425, 51457, 59216, 51457, 51483, 51315, 51391, 51315, 67248, 51354 ]
[ 0, 250, 1144, 26016, 3495, 2214, 3820, 19, 657, 8, 11098, 6, 4246, 10, 11739, 9, 13602, 6757, 6, 13305, 6, 21979, 8669, 6, 8, 3459, 29589, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 6, 5, 2214, 3905, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 83, 6, 211, 6, 8, 272, 1328, 63, 13428, 6, 2351, 41, 17627, 17274, 8, 15352, 30054, 5466, 14, 25362, 8, 21496, 1626, 5, 30443, 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 ]	[ 57739, 54140, 53087, 54140, 52676, 54140, 57512, 50843, 53675, 51580, 51060, 51404, 51060, 51245, 51060, 51770, 51060, 50445, 52261, 50449, 50816, 55245, 51263, 51111, 51245, 51111, 51746, 51111, 51940, 74451, 56721, 63012, 51200, 50879, 51323, 50879, 51593, 50879, 52150, 74949, 52261, 68154, 52512, 51200, 51226, 51323, 51226, 51593, 51226, 52150, 51226, 51118, 51345, 51020, 50889, 69063, 58487, 51332, 50808, 62681, 50885, 60975, 57158, 50961, 50416, 50847, 63722, 60683, 61862, 51263, 51215, 51245, 51215, 51746, 51175, 51940, 51215, 51118, 69728, 50805, 51332, 78118, 54898, 56973, 50885, 66636, 64266, 50884, 50909, 51179, 52925, 51580, 74874, 50879, 65325, 51770, 50879, 51118, 50936, 50433, 52261, 50437, 51263, 51175, 51245, 51175, 51746, 51175, 51940, 76183, 51704, 52512, 51332, 78118, 71479, 53672, 60032, 50868, 64266, 50884, 50909, 53759, 54586, 51200, 50921, 51323, 50921, 51593, 50921, 52150, 50921, 51118, 51160, 51023, 51238, 51332, 61189, 50988, 63204, 58131, 51421, 58275, 50847, 64278, 52396, 51332, 55960, 65134, 50988, 73557, 70387, 78230, 51135, 59671, 50909, 61612, 51200, 51541, 51323, 51541, 51593, 51226, 52150, 51541, 66079, 61697, 51745, 51083, 51048, 51208, 51157, 51171, 50921, 50946, 58630, 66828, 50848, 50921, 50944, 60354, 77357, 55307, 51031, 50421, 50852, 57550, 51200, 51192, 51323, 51192, 51593, 51192, 52150, 68114, 51083, 50952, 51023, 50938, 51171, 61128, 52390, 68978, 50848, 59034, 56754, 60878, 51421, 59483, 51580, 51100, 51404, 51100, 51245, 51173, 51770, 62109, 51507, 50882, 51083, 55955, 72090, 51762, 50437, 51263, 51060, 51245, 51060, 51746, 51158, 51940, 67174, 51507, 51870, 51083, 50910, 51171, 73696, 59709, 76163, 54020, 51031, 62100, 68682, 56690, 55933, 79528, 76353, 73656, 52150, 50893, 51083, 65779, 70425, 63350, 51200, 50821, 64490, 51593, 50858, 52150, 50821, 51171, 76331, 63694, 54898, 65134, 50944, 61952, 50884, 51007, 51179, 53173, 51200, 52266, 51323, 52266, 51593, 52266, 52150, 52266, 51083, 51362, 51020, 51204, 51171, 50890, 50946, 69993, 74951, 61612, 50850, 78955, 51135, 50841, 50799, 53723, 51300, 51595, 51073, 53160, 50936, 51171, 58630, 66828, 50988, 50921, 51042, 50921, 50848, 63556, 72922, 50847, 50821, 61797, 52437, 51089, 51286, 51020, 51111, 53160, 50830, 51171, 50830, 50988, 52390, 60760, 51042, 63424, 51421, 59076, 50791, 56359, 53160, 52877, 53723, 51300, 51595, 50924, 51083, 51111, 51171, 78750, 50880, 51042, 70689, 54441, 60032, 50847, 55557, 53885, 59147, 74536, 51940, 50806, 53772, 50806, 51089, 50865, 53160, 50859, 51171, 70251, 50988, 50887, 51042, 63694, 64266, 51179, 57868, 51499, 50858, 51746, 50858, 51478, 50858, 54022, 54596, 51020, 50865, 53160, 55531, 62767, 51171, 50880, 50988, 50880, 51042, 70689, 51041, 63317, 51200, 50859, 51323, 50859, 51593, 50858, 52150, 50859, 60113, 50455, 51499, 50952, 51746, 50952, 51478, 50940, 54022, 50952, 50457, 50791, 53902, 51200, 50859, 51323, 50859, 51593, 50858, 52150, 50859, 50799, 53723, 51745, 51263, 51977, 51245, 51977, 51746, 51977, 51940, 51977, 51401, 50917, 71830, 53160, 50880, 51171, 50880, 50988, 54441, 66828, 51042, 70689, 50883, 50847, 52942, 54892, 53160, 50859, 51171, 78118, 69388, 51042, 63694, 64266, 51179, 52712, 51089, 50865, 53160, 50882, 51171, 55976, 68978, 50988, 50930, 51042, 75175, 70391, 52633, 52209, 53723, 52651, 72090, 52105, 50437, 53160, 50821, 51171, 54459, 53723, 50824, 51401, 50938, 51083, 60694, 50880, 51042, 70689, 50883, 50847, 55089, 73314, 50843, 69824, 53160, 50880, 51171, 54989, 51188, 50924, 51478, 50924, 51940, 50936, 53772, 50924, 51089, 60732, 50917, 50988, 50880, 51042, 65003, 64143, 50445, 50791, 57868, 53160, 54988, 52413, 51173, 51263, 50940, 51245, 50940, 51746, 50921, 51940, 50940, 51171, 80140, 50930, 51042, 75175, 56409, 56721, 50847, 50930, 76199, 64814, 51200, 51226, 51323, 51226, 51593, 51226, 52150, 51226, 50816, 67239, 52093, 68154, 52195, 51118, 51048, 51020, 51290, 50801, 66828, 51332, 50830, 50988, 50830, 50885, 52154, 50961, 50416, 50868, 72662, 61291, 52093, 50425, 51200, 51192, 51323, 51192, 51593, 51192, 52150, 68114, 51118, 50910, 51023, 50936, 51332, 78750, 54301, 56973, 50885, 60410, 58360, 51864, 65416, 50909, 62941, 51580, 51215, 51404, 51215, 51245, 51215, 51770, 51215, 50433, 63193, 51704, 52512, 57219, 57285, 51746, 50893, 51940, 58281, 76010, 60032, 51332, 78118, 71479, 66636, 53759, 51031, 50440, 50847, 50884, 50909, 53806, 51200, 51030, 51323, 51030, 51593, 51030, 52150, 51030, 51118, 50921, 51023, 50924, 51332, 78118, 67356, 50885, 66636, 64266, 50884, 50909, 51179, 53409, 51332, 50880, 50988, 55531, 56721, 50885, 71580, 50883, 50847, 51041, 59671, 50909, 53563, 51200, 51226, 51323, 51226, 51593, 51226, 52150, 51226, 51083, 51091, 51208, 51191, 50457, 52112, 61697, 51059, 51171, 53558, 66828, 50946, 70689, 50880, 50944, 64960, 52942, 72922, 51007, 64246, 50852, 53087, 56221, 66361, 73656, 52150, 50806, 51083, 50938, 51023, 76144, 73696, 69993, 55960, 68978, 50944, 62712, 78955, 51135, 53230, 51507, 51010, 51580, 50893, 51404, 50893, 65325, 51770, 50893, 51083, 58546, 72090, 52112, 50437, 59147, 74536, 51940, 50923, 53772, 52322, 51507, 51009, 72320, 51171, 50890, 50946, 54020, 73314, 50848, 76163, 69504, 54357, 69431, 51007, 53885, 51200, 51167, 51323, 51167, 51593, 51167, 52150, 51167, 51083, 74224, 50910, 51171, 76331, 67356, 50848, 72736, 61952, 50884, 51007, 51179, 53533, 51171, 50890, 50946, 55960, 65134, 51263, 50940, 51245, 50940, 51746, 50952, 51940, 50940, 50848, 76163, 69504, 78955, 51135, 52349, 51020, 50914, 51171, 62798, 66141, 57430, 51263, 51685, 51245, 51685, 51746, 51977, 51940, 51685, 50944, 62372, 79368, 75739, 50799, 53723, 51300, 51595, 51157, 51083, 51159, 53160, 54452, 66828, 51171, 50930, 50988, 50961, 51042, 53843, 72922, 50848, 50961, 50847, 79736, 63032, 51089, 58281, 50917, 53160, 55531, 60760, 51171, 50880, 50988, 50880, 51042, 65003, 51041, 61869, 60113, 64821, 56359, 51200, 51167, 51323, 51167, 51593, 51175, 52150, 68765, 53723, 51300, 51401, 50938, 77214, 53160, 50880, 51171, 50880, 50988, 50880, 51042, 55089, 60032, 50848, 50883, 50847, 52942, 54586, 52106, 51033, 51347, 50911, 51593, 50911, 53253, 50911, 51089, 50917, 51023, 50938, 53160, 50890, 51171, 50890, 50988, 50895, 51042, 61722, 50848, 78230, 51135, 58501, 53160, 50930, 51171, 55510, 59147, 74536, 52106, 50879, 53772, 67933, 50930, 51042, 69914, 53989, 60376, 50847, 51139, 59163, 51200, 51192, 51323, 51192, 51593, 51192, 52150, 68179, 51089, 50917, 51020, 50917, 50457, 52112, 50461, 51263, 51469, 51245, 51469, 51746, 51696, 51940, 51469, 50799, 53723, 51541, 51401, 50925, 51083, 51100, 53160, 50880, 51171, 54441, 66828, 50988, 50883, 51042, 65003, 50883, 50847, 52942, 63267, 53160, 50887, 51171, 55777, 51401, 51100, 50988, 50887, 51042, 63694, 65394, 61553, 61236, 51089, 51111, 53160, 50880, 51171, 50880, 50988, 50883, 51042, 53412, 60760, 50848, 50883, 50847, 51041, 53644, 53723, 50911, 51401, 58493, 72090, 51762, 50437, 53160, 54459, 52413, 50858, 51083, 50938, 75829, 51171, 50880, 50988, 50880, 51042, 65003, 55089, 73314, 50847, 52942, 62860, 53160, 54989, 52413, 50924, 51089, 50952, 51020, 50917, 51171, 50880, 50988, 50880, 51042, 65003, 65266, 50847, 51041 ]
[ 0, 250, 765, 37903, 9, 10, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 6, 7630, 14805, 6453, 9, 657, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51280, 55665, 51198, 52718, 51280, 54980, 51708, 51080, 61627, 51280, 56109, 51198, 50838, 60603, 54869, 51708, 51080, 66301, 75986, 51099, 57060, 51232, 51080, 50796, 50435, 51144, 56109, 51144, 50838, 52591, 51280, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 2214, 19, 10, 980, 219, 6, 3366, 219, 5466, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 18569, 6, 22052, 6, 21072, 6, 8, 41, 3459, 9590, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 19376, 163, 5683, 6, 19, 5, 33215, 16739, 9, 3676, 6, 272, 6, 8, 83, 16331, 1328, 5, 2125, 6, 2351, 10, 19448, 8, 33558, 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 ]	[ 58402, 50799, 54369, 53002, 51303, 53002, 51249, 52570, 51457, 52024, 72488, 58004, 52096, 61514, 52096, 63452, 52337, 52016, 51801, 52091, 51801, 51701, 51801, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 66208, 50849, 53254, 51048, 50415, 51465, 53002, 50420, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 63028, 74202, 52631, 50813, 53059, 53352, 51044, 50863, 74773, 50795, 55091, 51290, 50432, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 72488, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 52725, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 58279, 50806, 52509, 60345, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 53400, 50923, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 50741, 50300, 50893, 54636, 57487, 53302, 50890, 52631, 50890, 53059, 50890, 58522, 72928, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 58337, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 50769, 50332, 51500, 55091, 50879, 53619, 77588, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50449, 66208, 65458, 63028, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50863, 53293, 77002, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 79052, 56172, 50746, 50324, 51801, 50799, 51672, 53073, 54369, 53073, 51651, 53073, 51457, 52149, 63028, 52016, 52204, 52091, 52204, 52398, 52204, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 60082, 50936, 54464, 51012, 50415, 51410, 51492, 50419, 74773, 50948, 53619, 57487, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50425, 66208, 58798, 63028, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50863, 53293, 52309, 53302, 50890, 52631, 50890, 53059, 50890, 51471, 74773, 51030, 53619, 50911, 50437, 51019, 52322, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 60899, 72928, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53555, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 50870, 53400, 50936, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 54892, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 52712, 72488, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 63028, 74202, 53059, 50813, 52631, 53309, 51130, 61239, 50841, 50769, 50332, 73087, 53302, 50890, 53059, 50890, 52631, 50890, 53642, 52763, 72488, 53302, 50862, 52631, 50813, 53059, 54345, 51044, 50883, 50769, 50344, 51345, 50456, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50461, 63452, 52337, 50799, 54369, 53002, 51465, 53002, 51303, 53002, 51249, 52570, 51457, 52024, 72928, 52016, 51801, 52091, 51801, 51701, 51801, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 66208, 50879, 53254, 59217, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 72928, 74202, 52631, 50813, 53059, 53352, 51044, 50863, 74773, 50795, 55091, 77684, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 62994, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 52725, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 58279, 50806, 52509, 60345, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 53400, 51030, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 50741, 50300, 50879, 54636, 52774, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 58337, 74202, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 63028, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 50769, 50332, 51500, 55091, 51158, 53619, 77588, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 56038, 66208, 55149, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 53293, 77002, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 79052, 57015, 58337, 50746, 50324, 52337, 50799, 54369, 53073, 51672, 53073, 51410, 51492, 51651, 53073, 51457, 52149, 52016, 52204, 52091, 52204, 52398, 52204, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 60082, 50921, 54464, 51138, 50419, 74773, 50940, 53619, 68360, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50425, 66208, 50952, 53293, 57327, 72488, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 51471, 74773, 50921, 53619, 50936, 56903, 50936, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 60899, 72488, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53555, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 50870, 53400, 51030, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 54892, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 52712, 63028, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 62865, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 61239, 50841, 50769, 50332, 51500, 60082, 51045, 54464, 51138, 50443, 74773, 70500, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 50837, 53619, 50911, 50449, 66208, 57099, 62994, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50883, 50769, 50344, 51345, 53293, 57973, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 74773, 51014, 53619, 50911, 50799, 52326, 54153, 52571, 54153, 51465, 54153, 63028, 58004, 52024, 61514, 52149, 63452, 52122, 52091, 50921, 55500, 52121, 54549, 52121, 52091, 52121, 53302, 50862, 52631, 50862, 53059, 53309, 68673, 53203, 53854, 50820, 51701, 50924, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 72488, 52252, 50865, 74202, 52631, 50813, 53059, 53352, 51044, 53196, 51716, 50940, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 58337, 53195, 51167, 52009, 50806, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 58669, 50805, 50443, 51716, 59591, 53854, 50828, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 56038, 53195, 50940, 52252, 55260, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 58669, 64848, 51701, 58603, 53195, 50980, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 58669, 75389, 52091, 50936, 53400, 51030, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 72808, 51701, 62340, 53195, 50911, 53854, 50820, 53302, 50890, 52631, 50890, 53059, 56034, 50825, 58669, 54919, 72928, 52758, 50893, 52252, 50893, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50863, 55810, 50917, 50431, 51716, 57647, 53032, 50806, 53302, 50890, 52631, 50890, 53059, 56034, 50829, 54102, 50938, 50437, 52009, 52322, 63028, 52758, 50893, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 55810, 50917, 50443, 53195, 51090, 58669, 51918, 53854, 50828, 51716, 50940, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52388, 53068, 66827, 52252, 50948, 53302, 50862, 52631, 50813, 53059, 77794, 61490, 53966, 51464, 53555, 54182, 51362, 51701, 50977, 53302, 50890, 52631, 50890, 53059, 54020, 51464, 68196, 50829, 52792, 72914, 61514, 51293, 63452, 52096, 52091, 51353, 55500, 51717, 52233, 51717, 50799, 52326, 51492, 51476, 51492, 51465, 51655, 51069, 50923, 52091, 50917, 52564, 50862, 52588 ]
[ 0, 250, 15352, 30054, 8, 20425, 3152, 2214, 11, 163, 3694, 6, 4246, 10, 1372, 16464, 19, 223, 34693, 9, 657, 8, 15073, 4, 85, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 2351, 10, 20902, 8, 7580, 5466, 1328, 63, 765, 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, 0, 0, 0 ]	[ 54458, 73733, 54880, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 53852, 53893, 52223, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 55147, 60008, 51903, 53940, 54463, 54880, 64550, 50821, 63311, 50835, 57493, 53099, 61732, 51287, 50797, 61044, 51833, 51949, 53940, 62589, 51287, 50797, 77608, 53951, 51539, 59768, 79967, 50798, 54880, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 51139, 51406, 54726, 64549, 52087, 50829, 57096, 53989, 56402, 51949, 73501, 50798, 50359, 51005, 63015, 54880, 54192, 50359, 50969, 56402, 51833, 51833, 51833, 51949, 50359, 50819, 53940, 53031, 51897, 53479, 69723, 65566, 62425, 50798, 79677, 51833, 56446, 50798, 62348, 51041, 51833, 53439, 50798, 52611, 50437, 50798, 54880, 54880, 54880, 53852, 53852, 51406, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 50928, 51658, 52220, 54880, 54880, 53852, 51406, 51833, 51833, 51833, 51833, 75615, 52546, 54463, 53784, 69723, 65566, 60672, 51287, 52418, 69824, 50798, 54880, 51130, 51833, 51833, 51833, 51949, 53940, 74096, 54499, 69723, 65566, 62120, 63998, 51833, 51833, 56453, 63998, 62843, 66219, 50913, 56038, 50798, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54912, 54192, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 52683, 55245, 50798, 54528, 54866, 53683, 51406, 51406, 51406, 65118, 53671, 68472, 76325, 51463, 69723, 65566, 61481, 51289, 51139, 56124, 52543, 54528, 70332, 50798, 50359, 51005, 50359, 51005, 63015, 53412, 56402, 51833, 51833, 55147, 51949, 53940, 53217, 56331, 55549, 52300, 54200, 54751, 65566, 61242, 50798, 63015, 63015, 54880, 51833, 53600, 51833, 51833, 51833, 57110, 51289, 51139, 60078, 50798, 50359, 51005, 50359, 51005, 51041, 53600, 77054, 51170, 54880, 56628, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 54192, 56402, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 50825, 51528, 53852, 53852, 72278, 51833, 51833, 58888, 53301, 54200, 50880, 58825, 52300, 59346, 50798, 54087, 71746, 51833, 51833, 51833, 51949, 50359, 50819, 53940, 74236, 75615, 60879, 51287, 50797, 55983, 52924, 77608, 51510, 53600, 70297, 50798, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 54192, 51406, 51406, 53584, 53353, 53784, 51864, 59955, 50798, 50359, 51005, 63015, 51833, 51833, 51833, 51949, 53940, 50928, 53782, 52220, 51130, 51833, 51833, 65163, 58167, 50798, 63015, 53600, 51833, 51833, 51833, 53439, 50798, 71746, 78573, 51762, 50437, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 54382, 56402, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 52742, 50856, 52300, 51437, 52411, 50821, 53012, 67387, 51230, 51371, 57282, 61285, 50798, 54880, 54192, 52465, 51833, 51833, 51833, 51949, 53940, 53940, 53384, 77100, 51041, 58514, 54131, 62120, 63998, 51833, 56453, 50798, 54880, 51139, 51833, 53665, 50891, 51618, 51004, 50448, 50913, 54880, 57795, 50798, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 54912, 54192, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 52683, 55245, 50798, 54528, 54866, 50898, 51437, 53584, 59717, 53784, 50887, 51782, 51071, 50821, 57688, 67641, 50913, 54200, 59730, 50798, 50359, 51005, 50359, 51005, 51041, 51833, 51833, 55147, 52270, 53940, 50928, 51453, 51406, 52502, 54131, 60734, 50798, 63015, 54880, 51833, 53600, 51833, 51833, 57110, 50798, 63015, 51041, 53665, 54603, 50798, 50359, 51005, 50359, 51005, 51041, 77054, 51206, 55018, 62959, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 54382, 71746, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 50359, 50819, 50928, 51755, 52220, 54880, 54162, 54906, 50898, 51833, 51833, 51437, 58888, 52893, 52270, 75533, 54366, 61134, 51471, 50419, 51287, 50797, 51833, 51833, 51949, 53940, 74236, 51833, 51239, 60683, 51287, 50797, 55983, 52883, 51833, 53665, 62184, 51762, 50425, 50798, 54880, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 51130, 51437, 51406, 53934, 53110, 63856, 72512, 51463, 54332, 63043, 50816, 62618, 51471, 50431, 50798, 50359, 51005, 63015, 54880, 51130, 51833, 51833, 51833, 51949, 53940, 53962, 51897, 51539, 54162, 51156, 63937, 50798, 79677, 51833, 51833, 56446, 50798, 53600, 53439, 50798, 52611, 50436, 65906, 57784, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 51406, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 50928, 51658, 52220, 53852, 53852, 51406, 51833, 51833, 51833, 51437, 51239, 53390, 63856, 54366, 62505, 51762, 50443, 50798, 54880, 51130, 51833, 51833, 51833, 51949, 53940, 74096, 51437, 74457, 57013, 63998, 51833, 51833, 56453, 50798, 54880, 51130, 53665, 50834, 51618, 51004, 50448, 63678, 56918, 50798, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 54912, 54192, 54382, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 55245, 50798, 54528, 54866, 53850, 65987, 51437, 51406, 51406, 53934, 53110, 52100, 56804, 72512, 76325, 51928, 53988, 50821, 54706, 62476, 51230, 51371, 63318, 50798, 50359, 51005, 50359, 51005, 63015, 53412, 71746, 51833, 51833, 55147, 51949, 50359, 50819, 53940, 50928, 51453, 52586, 55176, 51179, 62037, 50798, 63015, 54880, 51833, 53600, 51833, 51833, 57110, 50798, 62348, 51139, 53600, 53665, 54794, 50798, 50359, 51005, 50359, 51005, 65493, 65871, 54739, 56628, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 51130, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 50928, 51755, 52220, 53852, 51130, 51833, 51406, 53390, 56804, 54366, 53662, 51156, 58093, 50816, 62264, 51258, 50418, 51762, 50419, 63998, 51833, 51833, 51833, 51949, 53940, 74236, 51539, 51041, 64729, 51287, 50797, 55983, 52924, 51833, 53665, 71354, 78572, 51762, 50425, 50798, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 51130, 51406, 51406, 53934, 53110, 61682, 72512, 51463, 54332, 50962, 50430, 51762, 50431, 50798, 50359, 51005, 63015, 54880, 54192, 56402, 51833, 51833, 51833, 51949, 53940, 53031, 51897, 51437, 54162, 51156, 63937, 50798, 63015, 53600, 77608, 55703, 79677, 51833, 53439, 50798, 52611, 50436, 65906, 57784, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 51406, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 54114, 51479, 51406, 53390, 58250, 51539, 52411, 50821, 53525, 67387, 51762, 50443, 50798, 54880, 51130, 51833, 51833, 51833 ]
[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 1365, 6288, 6, 16, 10, 15352, 30054, 8, 19448, 3251, 278, 11, 5, 762, 9, 274, 10431, 538, 4, 1890, 12851, 154, 23, 41, 178, 5285, 20889, 8, 11, 204, 73, 306, 86, 6, 24, 1575, 10, 32625, 11739, 9, 13305, 6, 21979, 8669, 6, 38668, 22052, 6, 6755, 12547, 6, 8, 21040, 2426, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 20183, 8, 9066, 2821, 16235, 6, 25, 114, 24, 58, 233, 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 ]	[ 57128, 50799, 52328, 53487, 50435, 52295, 52431, 50799, 54549, 52727, 52091, 52727, 52398, 52727, 51315, 50854, 50973, 65655, 79111, 71423, 51086, 60724, 50989, 67761, 50965, 51351, 50426, 50973, 65593, 56389, 58368, 51220, 62063, 51086, 76173, 51028, 66851, 52955, 68530, 70597, 51086, 51210, 50799, 54549, 52727, 52606, 52727, 52582, 52727, 51324, 50833, 50989, 64449, 76724, 66147, 51378, 50959, 64401, 71662, 51040, 50955, 56040, 53470, 53088, 51307, 64341, 51220, 63634, 51086, 51174, 50447, 74247, 50999, 52643, 50973, 80083, 51581, 50303, 51376, 50799, 53496, 52727, 52091, 52727, 52398, 52727, 51360, 71866, 51177, 50968, 51100, 50417, 51176, 53932, 50956, 55797, 50916, 51134, 56040, 51056, 50973, 67272, 50965, 70455, 52597, 51040, 51481, 50447, 51001, 71221, 58229, 51040, 77146, 50956, 50854, 50973, 62659, 51279, 50959, 50799, 55500, 52212, 53496, 52212, 52091, 52212, 51953, 51314, 50916, 62036, 66147, 51315, 53728, 51027, 54347, 51086, 57630, 51040, 57250, 51027, 53513, 50916, 56529, 51027, 52691, 50622, 54549, 52212, 52091, 52011, 52582, 52212, 52977, 51447, 51324, 58628, 71274, 68219, 62532, 51378, 69877, 50620, 51086, 76791, 50916, 52843, 50619, 52606, 72052, 51775, 50973, 51411, 50989, 51806, 50456, 50775, 50326, 52460, 57128, 61372, 52988, 52016, 52988, 52582, 52988, 51701, 55597, 51335, 50928, 50877, 51277, 50899, 51423, 50989, 51337, 51120, 52151, 71241, 51277, 50877, 51481, 50899, 51642, 50438, 54825, 67047, 50851, 50989, 51328, 50877, 51481, 50443, 53195, 53041, 50899, 51123, 50446, 53195, 51345, 56279, 50827, 64190, 50989, 69096, 52758, 54370, 53195, 51100, 50799, 55500, 52988, 53496, 52988, 52091, 52988, 67032, 51040, 51642, 50877, 51309, 51279, 53588, 50418, 54182, 51016, 56248, 71007, 51884, 50877, 72759, 75573, 79848, 67514, 71289, 55634, 55493, 51731, 50305, 53536, 50308, 59437, 51254, 50453, 55625, 53875, 52758, 50805, 50799, 78743, 52988, 54549, 59828, 52016, 73728, 52582, 52988, 50989, 51423, 50899, 51534, 50973, 51400, 51324, 52503, 53337, 51242, 50989, 51212, 50973, 51484, 50437, 54825, 50924, 55898, 51328, 50989, 51328, 50973, 51309, 50443, 53195, 59673, 53195, 51377, 50447, 50899, 55256, 50973, 50870, 50899, 51328, 50989, 69780, 52758, 67046, 54678, 54890, 50849, 50799, 63995, 52440, 51678, 52440, 50899, 51242, 68622, 51086, 51576, 51214, 52598, 50417, 54890, 51003, 53337, 50810, 51086, 53535, 50311, 78885, 54182, 56305, 54825, 56282, 75154, 52440, 52091, 52397, 51701, 55597, 50899, 51328, 50916, 51177, 50877, 51328, 51279, 52263, 50443, 53195, 62813, 53195, 69654, 53496, 55036, 50305, 62215, 57069, 54509, 52758, 57326, 52758, 51121, 50799, 61372, 52988, 52016, 52988, 52582, 52988, 50899, 51101, 50877, 51212, 50989, 51423, 51120, 51480, 50960, 61912, 51078, 53435, 50423, 50947, 53174, 53337, 51008, 50989, 67252, 55544, 50899, 66380, 54182, 56305, 54825, 50938, 55898, 79322, 59023, 50972, 50443, 53195, 59484, 53195, 51124, 60027, 50933, 50989, 77704, 50974, 50455, 52758, 62705, 53195, 51173, 50799, 75154, 52988, 53496, 52988, 52091, 52988, 51040, 62215, 58800, 51121, 51279, 51351, 51317, 51795, 50418, 54182, 53227, 54182, 51124, 50998, 52500, 50423, 50947, 53174, 56248, 59437, 52363, 50305, 51753, 50438, 51040, 51365, 50916, 59437, 59187, 51279, 51542, 50447, 55493, 58501, 55493, 52843, 50973, 74296, 51581, 50305, 78862, 55625, 53875, 52758, 51110, 50916, 72969, 75283, 50840, 50799, 78743, 52988, 54549, 59828, 52016, 55597, 52582, 52988, 50989, 51177, 50973, 51111, 79727, 51324, 51218, 50960, 51795, 50420, 51078, 51352, 50423, 51076, 61874, 50989, 68839, 60582, 78885, 54182, 53040, 54825, 67922, 76280, 61622, 55200, 53195, 58275, 53195, 68031, 50989, 74782, 59353, 62174, 52758, 75547, 54603, 54890, 50938, 50799, 63995, 52440, 51678, 52988, 50899, 51212, 69940, 50973, 51212, 51214, 51295, 51311, 51300, 50416, 54890, 51178, 57761, 51745, 50423, 50929, 51059, 53337, 50942, 50973, 51101, 50861, 51110, 50435, 50899, 52896, 54825, 50809, 64724, 52440, 54064, 52440, 51214, 66229, 61368, 63804, 50808, 51246, 50882, 60217, 51207, 50950, 50929, 53609, 53195, 50818, 51279, 69114, 50821, 50986, 50859, 50947, 50950, 50443, 52758, 52878, 51234, 51189, 50899, 51141, 50861, 51343, 50906, 51218, 51246, 50824, 66123, 51064, 79867, 52758, 51158, 50461, 51574, 51196, 51311, 51870, 50998, 51009, 50799, 51881, 51080, 67348, 52212, 54549, 52212, 52016, 52212, 51678, 52212, 51086, 51101, 50899, 51121, 50861, 51177, 51315, 51091, 50929, 51009, 50423, 60616, 52231, 52228, 52905, 61384, 51819, 52491, 52370, 50303, 57094, 61566, 65135, 60616, 53379, 52228, 51682, 50296, 55167, 61384, 55055, 52491, 52545, 50303, 52600, 52033, 51080, 63827, 52212, 52016, 52212, 52091, 52212, 51701, 52212, 50899, 51116, 73822, 50989, 51400, 51378, 51391, 50960, 51189, 50947, 52195, 51078, 51285, 52028, 52195, 50441, 63293, 51819, 52891, 52610, 50877, 60318, 51212, 50989, 59562, 51378, 67419, 60616, 52231, 52228, 50828, 51207, 52266, 50460, 50960, 52369, 50461, 50929, 51407, 50799, 51881, 51243, 63293, 55055, 52891, 51030, 55464, 53866, 54549, 53866, 52016, 53866, 51678, 53866, 50899, 51177, 72362, 50973, 51203, 51026, 51391, 51076, 51407, 50419, 61384, 52231, 52491, 55893, 61384, 51819, 52491, 50893, 53337, 57094, 51194, 50973, 51194, 50429, 60616, 53379, 52228, 53695, 61384, 55177, 52491, 51427, 51026, 51330, 50435, 50899, 53980, 69308, 50861, 65562, 63475, 50899, 51862, 50447, 50861, 52743, 63827, 52011, 52016, 52011, 52582, 52011, 51701, 53126, 50299, 61895, 50854, 57031, 50973, 57622, 51378, 51124, 50899, 51255, 50989, 51124, 50877, 51255, 50461, 51574, 51196, 51311, 50918, 50998, 51009, 50799, 51838, 51447, 67348, 52212, 54549, 52212, 52016, 52727, 51678, 52212, 50899, 51400, 50973, 51400, 50861, 51048, 51315, 51351, 50929, 51009, 50423, 60616, 52231, 52228, 59824, 55493, 53379, 53319, 50930, 53337, 51194, 50861, 51112, 75992, 50428, 54182, 53379, 52172, 53695, 54890, 52231, 51979, 55486, 54182, 56120, 52172, 51286, 51315, 65859, 50960, 51551, 50437, 52028, 61086, 52225, 51447, 63827, 52212, 52091, 52212, 51701, 52212, 50899, 51255, 50989, 51255, 50877, 51203, 51378, 51134, 51078, 51356, 50439, 50947, 51009, 50442, 61384, 52231, 52491, 55933, 60616, 55055, 52228, 50948, 56279, 66982, 57254, 54509, 51378, 61219, 60616, 52231, 52228, 56904, 50960, 50949, 51207, 51551, 50799, 51838, 51671, 55493, 51819, 53319, 50911, 55464, 52212, 54549, 52212, 52016, 52212, 51678, 52212, 51026, 61566, 57094, 58654, 50901, 50929, 68904, 51076, 57214, 54182, 53106, 52172, 50940, 50425, 54890, 51819, 51979, 50911, 53337, 50812, 61293, 50973, 52559, 54182, 52722, 52172, 51103, 50437, 50960, 50883, 50998, 51870, 50438, 52886, 51447, 55500, 52727, 52016, 52212, 52091, 52727, 51701, 52727, 50902, 51177, 50916, 51095, 50877, 51194, 51027, 51807, 50289, 51535, 51131, 51196, 78963, 50441, 55017, 51693, 52949, 76027, 55017, 51129, 52949, 63640, 55017, 50982, 52949, 53421, 50916, 57669, 51194, 50902, 51221, 50453, 55017, 50891, 52949, 53556, 55017, 50870, 52949, 50870, 51027, 78970, 55017, 50863, 52949, 50863, 50916, 57867, 51317, 51196, 51131, 50949, 50799, 52225, 51447, 53828, 51447, 53496, 52212, 51027, 65378, 51177, 51028, 51060, 50877, 51194, 51279, 51351, 50998, 51527, 50415 ]
[ 0, 713, 14899, 3152, 2214, 11, 83, 538, 1575, 10, 2382, 3459, 8669, 981, 5, 33301, 6, 2800, 30, 41, 3459, 9590, 6, 326, 5638, 18026, 6, 21072, 6, 8, 18558, 4, 590, 10, 1769, 20889, 9, 10572, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 41, 20425, 8, 17627, 17274, 16464, 4, 20, 33215, 16739, 9, 381, 6, 83, 6, 8, 211, 35315, 1328, 5, 1349, 6, 2351, 10, 1372, 8, 15352, 30054, 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 ]	[ 67004, 51282, 50961, 73833, 51023, 51033, 51185, 51030, 51785, 55973, 51282, 50961, 73833, 51023, 51033, 51385, 51030, 52669, 53308, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 56157, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53794, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 66821, 50849, 51089, 74224, 50849, 51185, 50849, 51785, 57519, 51282, 50849, 51089, 74224, 50849, 51185, 53466, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 52669, 53308, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 56157, 51068, 50911, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53794, 51068, 50911, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51068, 50911, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 66821, 50849, 51089, 74224, 50849, 51185, 50849, 51785, 57519, 51282, 50849, 51089, 74224, 50849, 51185, 53466, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 52669, 53308, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 56157, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53794, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 66821, 50849, 51089, 74224, 50849, 51185, 50849, 51785, 57519, 51282, 50849, 51089, 74224, 50849, 51185, 53466, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 52669, 53308, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 51189, 51083, 51189, 51020, 51189, 51208, 51189, 51598, 56157, 51507, 53794, 52488, 57825, 59359, 51090, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 52669, 53308, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 51860, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 50798, 59359, 61588, 50914, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53702, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51598, 50849, 51528, 55163, 50914, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 53308, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 50914, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 56157, 53572, 53834, 50849, 52593, 53794, 55495, 53834, 59359, 61588, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 52593, 56934, 55235, 51591, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 52669, 53308, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 51860, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 50798, 59359, 61588, 50914, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51528, 55163, 50914, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 56217, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 55495, 57825, 59359, 61588, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 52669, 53308, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 51860, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 50798, 59359, 61588, 50914, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53702, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51598, 50849, 51528, 55163, 50914, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 53308, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 50914, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 56157, 53572, 53834, 50849, 52593, 53794, 55495, 53834, 59359, 61588, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 52593, 56934, 55235, 51591, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849 ]
[ 0, 250, 15352, 30054, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 11926, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 8504, 11, 5, 762, 9, 381, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 381, 6, 230, 12361, 6, 230, 10431, 119, 6, 274, 10431, 119, 6, 8, 211, 3639, 7, 63, 13363, 28191, 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 ]	[ 56236, 54734, 62716, 50973, 51242, 50418, 51086, 51862, 50899, 50891, 51176, 51126, 50421, 51966, 65869, 50956, 50933, 51027, 58032, 50876, 60259, 50972, 50443, 66737, 51086, 75635, 51001, 71674, 51254, 52177, 51503, 70843, 50902, 58871, 54448, 51086, 56037, 51279, 59768, 50989, 52921, 50900, 60443, 51001, 51100, 50956, 50838, 50442, 61673, 50899, 61192, 51114, 76280, 50886, 58066, 50971, 50416, 50931, 51095, 74850, 69662, 72172, 73768, 51085, 58659, 50877, 55946, 50956, 64015, 50999, 65840, 50955, 50437, 51120, 52600, 51147, 50917, 50439, 50965, 78655, 50973, 50928, 50871, 52875, 51197, 64559, 62885, 50989, 52725, 76531, 50876, 78970, 51050, 61994, 51220, 72914, 67642, 50902, 50891, 57190, 56231, 51378, 60461, 51001, 72141, 50877, 54316, 51062, 50938, 50424, 62504, 50434, 51220, 64151, 50874, 62094, 50973, 55167, 50931, 56819, 51114, 50925, 50956, 62055, 57028, 51062, 64482, 59855, 50457, 51220, 51141, 50973, 62464, 63903, 62774, 50874, 51601, 50989, 51172, 50419, 50877, 51328, 50422, 51001, 72759, 51399, 51623, 51028, 51314, 55753, 51220, 61622, 51126, 50427, 50916, 51824, 50429, 50973, 50984, 50431, 50902, 58662, 51147, 51753, 50440, 51787, 65737, 51147, 51058, 50796, 50448, 51147, 58325, 50899, 52980, 50989, 53486, 50457, 51147, 50878, 50973, 52783, 58479, 56624, 51147, 54611, 74251, 50424, 51147, 78950, 50999, 51194, 50437, 51220, 51178, 50443, 51040, 52980, 50446, 50973, 72172, 52147, 50448, 50931, 51412, 50455, 51146, 51110, 50796, 50434, 51220, 50955, 50443, 51147, 58238, 50931, 68571, 59856, 51601, 50973, 65605, 50965, 58645, 67977, 50448, 50899, 51183, 50796, 50443, 51040, 51199, 50453, 50899, 51363, 57126, 51043, 50421, 76329, 50429, 50989, 51043, 50437, 50877, 51203, 50446, 50965, 69960, 50877, 51194, 60212, 51028, 51790, 50451, 51279, 62375, 51315, 68935, 51027, 54719, 51040, 66460, 50916, 62495, 61133, 51601, 51028, 51162, 50434, 51028, 51056, 50441, 51247, 54758, 51360, 67267, 51050, 61800, 51027, 58145, 51040, 54105, 50871, 69305, 61133, 50454, 51028, 51591, 50796, 50434, 50973, 51203, 50448, 50877, 65780, 65893, 50796, 50435, 50877, 56509, 51966, 51000, 50440, 51360, 50912, 50442, 51378, 56069, 75039, 51027, 59265, 50989, 55370, 50999, 51204, 55746, 51147, 51446, 50429, 51279, 58734, 51378, 61075, 51040, 62551, 50989, 56892, 50876, 58761, 51028, 51003, 53069, 51114, 51194, 50429, 50968, 51422, 50443, 51324, 70435, 51378, 70635, 51086, 52386, 50310, 50984, 50449, 71773, 50451, 50973, 51637, 50460, 50989, 55044, 52591, 51001, 57818, 50902, 51542, 50458, 51028, 51363, 57731, 50973, 51047, 50447, 51214, 69875, 51120, 59528, 51026, 64125, 51086, 60754, 61335, 50454, 57660, 50457, 50973, 51191, 75695, 50973, 50943, 50435, 52046, 62090, 51324, 55608, 51197, 64831, 51026, 59843, 51086, 67267, 50956, 51123, 50448, 60569, 50451, 50973, 51623, 77033, 59755, 50445, 50861, 59433, 78433, 77033, 50861, 50995, 50435, 51085, 52958, 51026, 69864, 50900, 57043, 50916, 60554, 50951, 65655, 50886, 56229, 74023, 50902, 62488, 50968, 51115, 50424, 50876, 53577, 50426, 51315, 63444, 51086, 64408, 71773, 50434, 50965, 63397, 50931, 68250, 62749, 50902, 51448, 50451, 51147, 65732, 51114, 51312, 60212, 78966, 51028, 62000, 51028, 51447, 50438, 50968, 51742, 50454, 51279, 51210, 50459, 51315, 50971, 51601, 51027, 50907, 50419, 75039, 50424, 74881, 50428, 67514, 50434, 51028, 51006, 79254, 51040, 50995, 50443, 51360, 51862, 57428, 51269, 50446, 50965, 60979, 51176, 76606, 51028, 50904, 52478, 51040, 60157, 51040, 51391, 50452, 50916, 51025, 54206, 59946, 50989, 51123, 50424, 51324, 51074, 79143, 50941, 50427, 50902, 59347, 51378, 63280, 51027, 51097, 50796, 50433, 51040, 50915, 50448, 51360, 51862, 70795, 50449, 51176, 59038, 50965, 79519, 51028, 50864, 55753, 51040, 51101, 50436, 51040, 50959, 50441, 50899, 63280, 51040, 71765, 66481, 50451, 51040, 74022, 50916, 51203, 51809, 69505, 50424, 50989, 76991, 51324, 51376, 50427, 50877, 70573, 50902, 57039, 51378, 50959, 50445, 51027, 51380, 56020, 50899, 51412, 50431, 50989, 51363, 50440, 50916, 51391, 50449, 51315, 51645, 50965, 51824, 63932, 53131, 50315, 51862, 50458, 51176, 51337, 52478, 51086, 51212, 53337, 51101, 50434, 50916, 51194, 50443, 50871, 51400, 50452, 50965, 50943, 51601, 50989, 51351, 50434, 51040, 51380, 50445, 50916, 51380, 50456, 50956, 50932, 52591, 50899, 79882, 51086, 51432, 50457, 51399, 51790, 51601, 51279, 51079, 50421, 51315, 51210, 50427, 51027, 51142, 50433, 51040, 51074, 50439, 70088, 50445, 51028, 51142, 51399, 51221, 50451, 50877, 69096, 50916, 50904, 73607, 51159, 51040, 51470, 56945, 51254, 50425, 51315, 54860, 51399, 74449, 51247, 50974, 50446, 51027, 79616, 51040, 69096, 51220, 51203, 50458, 50871, 51862, 51601, 50877, 51376, 50419, 50999, 57240, 50999, 51145, 51028, 51142, 50428, 70741, 50434, 67558, 50439, 51040, 74722, 51027, 64529, 50877, 51480, 50449, 51050, 51000, 50455, 50877, 51328, 67331, 50457, 51114, 56569, 50999, 50836, 51809, 51966, 73122, 51814, 51091, 50423, 51027, 54889, 51040, 54211, 50433, 50989, 54836, 50438, 52128, 51189, 50442, 50877, 69232, 51279, 68926, 51062, 51178, 50458, 51040, 51269, 51601, 51399, 51159, 50416, 50989, 77862, 71579, 50423, 50989, 53024, 50426, 51028, 50982, 50428, 51787, 62089, 50902, 51965, 50435, 51114, 51210, 50436, 51220, 51419, 50438, 51430, 51183, 50443, 51324, 70635, 51378, 79519, 51086, 51365, 50458, 71773, 76953, 51101, 50416, 50989, 52192, 50422, 51146, 51677, 50423, 50902, 51254, 50428, 50973, 51432, 50434, 75105, 50440, 50899, 51470, 50445, 51086, 52063, 50451, 51378, 74445, 51220, 51675, 52177, 51214, 56909, 51120, 56552, 51026, 63163, 51086, 51254, 50439, 50899, 54947, 51220, 50943, 50445, 50973, 51051, 50451, 50861, 70347, 50899, 57995, 51086, 51210, 51220, 50914, 52478, 51026, 50972, 50424, 51120, 64205, 51220, 51077, 50436, 52046, 53743, 51026, 51142, 50449, 51086, 51254, 50454, 50999, 51194, 50455, 50956, 51824, 50461, 50861, 51470, 52177, 50951, 54657, 50951, 51212, 50973, 51365, 54439, 51142, 64551, 52192, 50437, 51086, 74965, 51026, 50912, 67655, 56918, 50861, 76690, 50876, 50825, 50968, 61192, 50951, 62705, 52206, 50941, 75464, 67381, 51430, 51058, 50417, 51315, 70145, 51339, 51162, 50422, 51146, 50901, 53523, 50972, 50428, 51026, 54060, 79580, 55487, 51062, 50820, 51430, 59948, 66005, 50902, 51609, 50324, 51142, 50439, 51062, 68273, 51430, 52878, 51841, 50933, 50445, 51405, 51128, 50448, 51339, 50833, 51399, 64314, 51176, 65496, 52128, 60734, 51787, 50925, 51146, 71429, 51086, 52011, 51809, 50916, 51079, 50421, 50965, 69645, 51430, 50854, 51399, 61036, 51028, 52441, 50432, 50999, 52263, 50433, 51399, 51637, 50434, 51430, 51452, 50439, 51279, 51006, 50445, 51315, 54626, 51027, 51142, 50455, 51040, 51074, 50461, 50916, 50971, 52478, 51399, 51535, 50419, 51028, 53130, 50320, 52519, 50999, 52519, 50423, 50877, 51470, 50429, 50916, 59068, 51040, 51210, 50440, 51027, 51166, 50447, 51315, 72037, 51028, 50981, 52177, 51360, 51210, 50423, 51176, 51524, 78312, 60002, 50965, 50941, 50439, 50931, 57940, 51028, 51665, 50329, 69305, 76521, 50455, 50965, 63729, 67558, 51028, 51218, 53069, 51176, 51470, 50424, 51360, 50984, 50431, 50968, 51221, 50437, 51324, 63231, 64062, 50443, 51027, 51365, 50448, 50899, 70185 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 8, 5679, 26709, 5466, 6, 4246, 10, 24896, 981, 5, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 38668, 22052, 6, 26432, 636, 3938, 22052, 6, 8, 38668, 3038, 4, 20, 2125, 16, 278, 11, 211, 3694, 19, 10, 231, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 6, 8, 5, 1049, 33215, 16739, 10726, 9, 274, 6, 1918, 6, 12608, 37152, 6, 163, 428, 6, 8, 211, 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 ]	[ 54838, 50628, 65269, 61137, 53879, 59047, 51251, 54317, 51113, 50813, 51154, 59517, 65269, 51154, 53402, 51251, 55368, 51113, 50813, 51154, 58332, 51154, 50809, 52316, 50830, 58274, 76621, 51251, 51126, 51154, 51051, 50462, 51154, 50813, 52316, 50942, 50468, 51154, 50809, 52316, 50830, 50474, 51251, 51126, 51154, 51051, 50480, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 51699, 50904, 52371, 51524, 50444, 51638, 50862, 51699, 56060, 51299, 50809, 51883, 50830, 57889, 76621, 51883, 50904, 52830, 51524, 50462, 73652, 51883, 50878, 50468, 51299, 50809, 51883, 50830, 50474, 51883, 50904, 52830, 51524, 50480, 73652, 51883, 50878, 54838, 65269, 61137, 55528, 51161, 65660, 59047, 51251, 54317, 51113, 50813, 51154, 59517, 65269, 51154, 53402, 51251, 55368, 51113, 50813, 51154, 58332, 51154, 50809, 52316, 50830, 53623, 51161, 58274, 76621, 51251, 51126, 51154, 51051, 50462, 51154, 50813, 52316, 50942, 50468, 51154, 50809, 52316, 50830, 50474, 51251, 51126, 51154, 51051, 50480, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 52776, 51161, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 51699, 50904, 52371, 51524, 50444, 51638, 50862, 51699, 56060, 51299, 50809, 51883, 50830, 53215, 51161, 57889, 76621, 51883, 50904, 52830, 51524, 50462, 73652, 51883, 50878, 50468, 51299, 50809, 51883, 50830, 50474, 51883, 50904, 52830, 51524, 50480, 73652, 51883, 50878, 54838, 65269, 61137, 53879, 59047, 51251, 54317, 51113, 50813, 51154, 59517, 65269, 51154, 53402, 52016, 50795, 57391, 50849, 51251, 55368, 52016, 50795, 57391, 50849, 51113, 50813, 51154, 58332, 52233, 50795, 57049, 77364, 50809, 52316, 50830, 58274, 76621, 52016, 50795, 57391, 50849, 51251, 51126, 51154, 51051, 50462, 52016, 50795, 57391, 77364, 50813, 52316, 50942, 50468, 52233, 50795, 57049, 77364, 50809, 52316, 50830, 50474, 52016, 50795, 57391, 50849, 51251, 51126, 51154, 51051, 50480, 52016, 50918, 57391, 51103, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 55500, 50795, 58600, 50849, 51699, 50904, 52371, 51524, 50444, 55500, 50795, 58600, 50849, 51638, 50862, 51699, 56060, 52233, 50795, 57049, 50849, 51299, 50809, 51883, 50830, 57889, 76621, 52016, 50795, 57391, 50849, 51883, 50904, 52830, 51524, 50462, 52016, 50795, 57391, 50849, 73652, 51883, 50878, 50468, 51821, 50795, 60609, 50849, 51299, 50809, 51883, 50830, 50474, 52233, 50795, 57049, 50849, 51883, 50904, 52830, 51524, 50480, 52016, 50807, 57391, 50914, 73652, 51883, 50878, 54838, 65269, 61137, 55528, 51161, 65660, 59047, 51251, 54317, 55500, 50795, 58600, 50849, 51113, 50813, 51154, 59517, 52233, 50795, 57049, 50849, 65269, 51154, 53402, 52016, 50795, 57391, 50849, 51251, 55368, 52016, 50807, 57391, 50914, 51113, 50813, 51154, 58332, 51154, 50809, 52316, 50830, 53623, 51161, 58274, 76621, 51251, 51126, 51154, 51051, 50462, 55500, 50795, 58600, 77364, 50813, 52316, 50942, 50468, 52233, 50795, 57049, 77364, 50809, 52316, 50830, 50474, 52016, 50795, 57391, 50849, 51251, 51126, 51154, 51051, 50480, 52016, 50918, 57391, 51103, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 52776, 51161, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 55500, 50795, 58600, 50849, 51699, 50904, 52371, 51524, 50444, 55500, 50795, 58600, 50849, 51638, 50862, 51699, 56060, 52233, 50795, 57049, 50849, 51299, 50809, 51883, 50830, 53215, 51161, 57889, 76621, 52016, 50795, 57391, 50849, 51883, 50904, 52830, 51524, 50462, 52016, 50795, 57391, 50849, 73652, 51883, 50878, 50468, 51821, 50795, 60609, 50849, 51299, 50809, 51883, 50830, 50474, 52091, 50800, 61962, 50812, 51883, 50904, 52830, 51524, 50477, 52233, 50991, 57049, 51124, 50480, 73652, 51883, 50878, 54838, 52016, 50807, 57391, 50914, 51638, 50862, 51154, 50813, 52602, 50983, 56774, 60055, 51638, 50862, 51154, 52524, 51638, 50862, 51154, 52810, 51821, 50983, 60609, 51189, 51638, 50862, 51154, 50813, 52602, 50983, 56774, 57222, 51638, 50862, 51154, 53524, 51638, 50862, 51154, 52800, 52016, 50983, 57391, 51189, 51883, 50862, 51154, 50813, 53215, 50983, 57889, 68862, 51883, 50862, 51154, 50813, 50462, 51883, 50862, 51154, 50813, 50468, 55500, 50983, 58600, 51189, 51883, 50862, 51154, 50813, 53215, 50983, 57889, 50983, 50474, 51883, 50862, 51154, 50813, 50480, 51883, 50862, 51154, 50813, 54838, 73652, 51491, 50813, 55472, 51161, 75385, 59047, 73652, 51491, 52524, 73652, 51491, 52810, 52233, 50807, 57049, 50914, 73652, 51491, 52781, 73652, 51491, 53524, 52233, 50795, 57049, 50849, 73652, 51491, 52800, 52233, 50795, 57049, 50849, 51251, 50862, 51113, 50813, 53215, 51161, 57889, 76621, 52016, 50795, 57391, 50849, 51251, 50862, 51113, 50813, 50462, 52606, 50795, 75314, 50849, 51251, 50862, 51113, 50813, 50468, 52606, 50800, 75314, 50812, 51251, 50862, 51113, 50813, 50471, 52016, 50991, 57391, 51124, 50474, 51251, 50862, 51113, 50813, 50480, 52233, 50800, 57049, 50812, 51251, 50862, 51113, 50813, 50483, 52016, 50807, 57391, 50914, 54838, 51251, 50813, 78990, 52602, 50983, 56774, 60055, 51251, 50813, 51165, 53901, 52016, 50795, 57391, 50849, 51251, 50813, 51165, 54215, 52072, 50795, 66759, 50849, 51251, 50813, 78990, 52602, 50983, 56774, 57222, 51821, 50918, 60609, 51103, 51251, 50813, 51165, 54247, 51251, 50813, 51165, 53938, 51251, 50813, 75841, 53215, 50983, 57889, 68862, 51251, 50813, 75841, 50462, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 50468, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 53215, 50983, 57889, 50983, 50474, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 50480, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 54838, 52606, 50807, 75314, 50914, 51426, 50813, 51375, 50862, 53623, 51161, 58274, 59047, 51426, 50813, 51375, 53901, 52016, 50983, 57391, 51189, 51251, 50813, 51375, 54215, 51251, 50813, 51375, 53894, 51251, 50813, 51375, 54247, 54064, 50795, 60152, 50849, 51251, 50813, 51375, 53938, 52606, 50807, 75314, 50914, 67274, 51165, 50813, 52776, 51161, 55030, 76621, 67274, 51165, 50813, 50462, 52016, 50795, 57391, 50849, 67274, 51165, 50813, 50468, 52233, 50795, 57049, 50849, 67274, 51165, 50813, 50474, 52016, 50807, 57391, 50914, 67274, 51165, 50813, 50480, 67274, 51165, 50813, 54838, 55464, 51036, 60618, 51307, 52776, 51161, 51088, 51161, 51093, 51161, 52682, 51142, 52064, 51142, 53398, 57944, 52682, 51142, 52064, 64147, 52682, 51142, 52064, 65743, 52776, 51161, 51088, 51161, 51165, 51161, 52682, 51142, 52813, 51142, 55030, 51161, 50462, 54064, 50795, 60152, 50849, 52682, 51142, 52813, 51142, 50468, 52233, 50795, 57049, 50849, 50474, 52016, 50795, 57391, 50849, 52682, 51142, 52813, 51142, 50480, 52016, 51036, 57391, 51307, 54838, 52776, 51161, 51088, 51161, 51093, 51161, 52682, 51142, 52064, 51142, 53398, 57944, 52682, 51142, 52064, 64147, 52682, 51142, 52064, 65743, 53623, 51161, 51375, 51161, 77215, 54313, 51142, 52064, 51142, 53398, 51036, 50462, 54064, 50795, 60152, 50849, 54313, 51142, 52064, 51142, 50468, 52233, 50795 ]
[ 0, 250, 3495, 1619, 2214, 19, 15855, 16882, 6, 4246, 21979, 8, 3459, 29589, 6, 769, 196, 6757, 6, 21072, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 19448, 8, 5679, 26709, 5466, 19, 10, 11602, 9, 657, 6, 25, 5, 33215, 16739, 9, 83, 6, 211, 6, 272, 119, 406, 6, 230, 6, 8, 163, 37152, 30853, 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 ]	[ 57739, 50796, 60938, 51446, 51207, 51627, 50415, 51389, 53174, 50426, 51246, 51159, 50427, 51064, 51177, 50960, 51080, 51067, 51145, 50929, 52212, 50438, 51078, 51446, 52028, 51627, 50450, 53262, 51014, 50960, 51309, 51246, 51124, 51064, 51312, 50451, 50929, 52482, 51067, 51423, 66269, 52282, 50970, 51413, 51504, 51535, 50425, 51246, 68106, 50929, 53892, 50960, 51484, 51064, 51380, 50427, 51067, 51148, 50434, 50998, 54114, 50998, 51343, 51574, 51448, 50450, 51930, 50802, 51246, 50849, 50960, 51753, 51064, 51212, 51067, 51328, 69683, 51238, 51444, 51576, 50415, 51098, 51184, 50424, 51136, 51400, 50425, 50929, 51203, 52562, 51738, 50426, 51207, 51775, 50427, 50960, 51043, 51067, 51124, 50436, 51136, 51295, 50437, 51207, 51380, 50929, 51267, 52562, 51477, 50438, 51032, 51162, 50439, 50986, 51025, 50449, 51246, 54356, 51064, 76888, 50960, 51356, 56950, 53435, 51444, 66527, 50986, 50982, 51078, 51109, 51131, 51283, 50960, 51103, 50947, 51145, 50427, 51078, 51703, 50438, 51444, 51351, 50960, 51343, 50446, 51131, 51645, 51078, 79771, 50960, 60521, 71250, 51078, 51008, 61108, 51477, 50960, 51472, 53552, 57610, 51098, 51009, 52086, 59492, 50960, 51447, 50929, 51145, 51311, 51103, 51076, 51080, 51190, 51502, 57776, 52086, 68875, 51389, 51016, 51444, 51477, 51311, 51477, 58805, 56385, 66003, 51311, 50978, 50960, 51824, 69695, 51190, 51502, 62767, 51076, 52179, 50457, 51668, 50952, 53788, 51496, 51136, 51551, 51725, 52069, 60524, 57550, 52914, 58299, 51246, 56615, 51136, 51480, 50929, 51448, 51287, 51502, 60854, 50929, 51703, 51032, 51080, 50437, 51246, 76810, 50986, 51391, 52077, 50918, 51479, 57270, 51098, 63399, 51136, 50959, 65423, 51136, 50977, 50929, 51470, 55389, 58517, 51032, 51269, 50458, 51098, 50809, 58700, 51351, 50970, 52195, 51855, 50807, 51842, 50415, 51140, 60288, 61396, 52086, 52910, 50986, 51703, 50970, 51244, 50947, 51314, 50947, 52147, 51067, 52147, 51287, 51502, 71150, 51855, 52424, 51150, 51016, 50986, 51134, 51725, 51294, 64547, 61925, 76979, 52753, 63419, 50986, 51824, 50970, 50987, 50947, 51254, 55389, 57136, 51140, 51066, 50947, 51470, 56098, 52827, 51207, 51115, 51246, 51477, 51813, 50807, 52453, 58115, 50998, 51346, 50426, 51317, 51177, 50929, 51277, 52077, 50807, 55389, 59619, 51064, 52192, 65026, 51316, 65298, 51136, 60002, 51846, 51004, 50960, 51129, 50970, 51258, 50434, 51131, 51258, 51078, 52445, 50435, 51136, 51693, 50929, 78407, 50436, 51246, 51693, 50998, 64235, 51868, 51009, 51246, 51283, 52655, 50807, 60524, 59901, 51207, 77069, 51317, 50937, 50998, 51058, 50998, 50987, 50929, 51470, 52077, 50807, 55389, 57136, 51064, 51470, 50461, 51855, 50918, 56950, 51362, 51131, 51283, 51444, 51397, 53552, 59045, 51131, 77008, 51078, 50972, 50960, 51212, 50960, 51121, 55389, 56680, 51078, 51079, 51067, 51432, 50434, 51389, 54181, 51868, 51072, 51246, 51283, 51813, 50807, 65634, 59901, 51207, 51381, 50446, 51317, 51221, 50998, 51255, 50449, 52077, 52728, 51868, 50896, 50998, 50978, 70225, 51190, 51502, 60376, 51064, 51006, 51316, 51006, 56950, 51090, 51444, 51351, 51131, 51244, 51855, 51161, 58805, 53516, 74175, 51131, 51965, 50960, 51218, 51287, 51502, 60854, 51389, 51055, 51078, 51749, 51078, 51447, 51067, 51703, 50438, 51131, 51542, 52012, 51351, 52321, 57972, 51493, 51072, 50445, 51131, 51534, 50446, 50960, 67081, 51705, 51066, 51078, 51051, 50960, 50924, 51078, 50866, 51927, 51502, 59363, 52086, 51291, 53458, 51059, 51207, 51318, 50960, 51336, 58805, 53855, 50929, 51749, 51311, 51127, 50960, 51080, 63474, 59619, 50929, 51703, 51076, 51447, 50434, 51098, 50921, 50437, 51444, 51310, 52086, 68875, 51389, 51059, 51311, 51283, 58805, 61587, 50960, 53996, 51076, 52731, 51311, 50849, 69947, 60384, 51927, 51502, 74890, 51668, 50952, 53788, 52097, 51136, 50918, 51725, 51945, 52455, 59045, 51246, 55574, 52914, 58299, 51136, 51312, 50929, 51314, 50929, 51145, 51032, 51314, 51287, 51502, 54968, 51098, 51059, 50986, 51542, 51246, 51115, 52077, 50918, 52453, 52802, 51136, 51051, 51136, 50905, 50929, 51166, 55389, 59528, 51032, 50851, 50929, 75574, 51098, 50962, 58700, 51391, 50986, 51592, 51855, 51048, 65634, 57056, 51140, 51059, 50425, 50986, 52212, 52086, 52910, 50970, 51380, 50970, 51145, 50947, 51490, 55389, 58245, 50947, 51709, 51067, 51703, 50434, 51140, 51138, 50437, 51855, 52424, 51150, 50896, 50970, 51573, 51725, 51189, 52166, 52772, 77211, 50947, 51365, 50986, 51824, 52753, 50807, 52029, 51502, 56721, 51140, 50993, 50947, 51524, 76979, 56098, 51029, 51246, 51637, 51207, 51310, 51813, 50807, 52455, 58964, 52077, 52910, 65026, 50998, 51481, 51064, 52063, 51317, 51337, 55389, 58245, 51316, 50974, 50929, 51277, 50433, 51846, 51129, 51136, 51258, 50434, 51493, 78542, 51258, 50960, 51306, 50960, 51258, 51136, 51306, 51076, 51306, 51032, 78592, 51246, 51693, 50436, 50998, 58930, 51868, 51059, 51207, 51283, 51246, 51318, 52655, 50807, 63237, 55254, 51317, 50978, 78125, 60419, 52077, 50807, 51287, 51502, 56721, 51316, 52167, 50998, 50978, 51064, 51058, 50458, 51868, 50833, 56950, 51059, 51131, 51283, 51444, 51318, 51855, 50918, 52166, 58646, 50960, 52688, 51078, 51058, 51131, 51432, 50960, 51177, 66358, 59741, 51078, 51079, 51067, 51074, 50434, 51389, 60831, 51813, 69203, 51868, 50824, 51207, 51637, 51246, 51637, 64547, 57000, 51317, 51534, 50998, 51255, 51855, 59323, 51868, 51290, 67765, 51064, 51376, 74963, 51927, 51502, 56721, 51316, 51058, 50454, 52077, 50967, 50455, 50986, 51258, 56950, 50896, 51444, 51310, 51131, 51080, 51855, 51358, 60524, 52905, 51389, 51016, 50960, 51380, 51131, 51965, 51078, 51637, 50960, 51358, 55389, 59619, 51078, 51314, 51067, 51447, 50438, 52012, 51241, 51131, 51381, 51897, 57972, 51493, 51066, 50446, 51131, 51852, 50960, 74047, 51705, 50975, 51078, 51008, 51078, 51174, 52086, 50967, 55389, 57136, 51067, 51376, 53458, 51059, 55978, 54373, 56007, 54270, 55114, 51314, 52120, 57030, 50929, 51141, 51207, 51627, 52908, 50991, 50422, 52561, 59204, 51064, 51642, 51246, 51267, 50960, 51447, 52029, 51502, 56973, 51067, 51080, 50431, 52086, 50991, 50434, 51150, 51566, 63423, 51078, 51446, 52028, 51749, 51897, 58159, 52908, 50967, 59502, 51244, 50446, 51793, 51290, 52561, 58647, 51246, 51095, 50960, 51797, 51064, 51199, 55347, 57399, 51067, 51642, 50454, 52086, 50991, 50458, 51389, 50844, 53458, 51059, 50970, 51056, 53725, 50807, 63101, 58410, 51504, 51535, 54717, 78042, 50970, 51423, 50960, 51852, 51246, 51377, 55389, 58815, 51064, 51380, 51067, 51244, 52908, 50983, 50434, 51150, 51290, 66290, 50998, 51157, 51574, 51749, 58165, 51183, 52321, 57728, 51793, 56812, 51246, 50925, 50960, 51365, 50998, 51254, 66358, 57399, 51064, 51058, 51067, 77381, 51389, 50834, 54204, 51932, 51930, 50982, 53271, 51945, 55172, 51445, 54717, 52988, 65634, 58842, 51389, 51258, 50960, 70599, 52086, 51631, 51522, 51072, 51846, 52996, 50970, 51199, 50960, 51047, 50970, 52212, 52914, 50977, 51190, 51502, 56973, 51064, 51148, 50432, 52086, 74891, 51970, 57280, 51066, 51504, 51310, 63101, 64916, 50960, 51364, 52914, 51400, 50449, 52077, 68390, 51140, 50975, 51846, 51824, 51169, 51006, 65813, 51715, 51502, 65134, 50970, 51824, 51064, 51006, 60653, 51227, 52562, 51310, 52077, 51605, 60252, 52727, 63017, 51293, 55114, 51671, 52453, 56075 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 1349, 4246, 26432, 636, 3938, 22052, 6, 21072, 6, 3459, 9590, 6, 449, 337, 757, 3178, 6, 8, 18558, 10, 25118, 6, 2351, 10, 1313, 8, 2365, 16464, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 10, 20902, 27841, 139, 20889, 6, 22690, 10, 33215, 13931, 9, 211, 406, 6, 272, 401, 6, 211, 119, 406, 6, 8, 272, 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 ]	[ 67004, 50438, 58588, 51795, 51096, 51795, 50801, 50824, 52356, 51184, 52591, 52837, 50803, 54195, 50803, 59423, 50803, 74211, 50803, 55561, 50803, 52730, 50803, 54843, 53972, 62643, 52798, 50803, 54115, 50803, 61439, 50803, 50759, 50326, 50803, 55745, 50803, 52544, 50803, 54326, 51973, 52978, 50823, 52837, 50823, 54827, 50823, 59423, 50823, 57457, 50823, 52107, 50823, 52730, 52466, 54684, 52803, 50823, 52798, 50823, 60311, 50823, 61439, 50823, 57533, 50823, 52253, 50823, 52544, 50823, 50927, 63783, 55276, 54033, 51300, 52978, 51009, 57790, 51300, 54827, 51009, 61018, 51009, 52197, 51300, 52107, 56681, 50860, 52129, 54554, 50798, 60406, 50993, 51068, 64322, 50993, 50799, 52355, 50802, 51584, 65285, 54774, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 54774, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 73410, 50802, 51612, 51072, 50945, 54774, 54328, 56111, 52285, 50795, 60311, 50823, 61439, 55075, 54328, 54675, 51900, 50824, 51612, 55940, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 51784, 50824, 51567, 76317, 54774, 54328, 56059, 54148, 50811, 54116, 52702, 61443, 52978, 50811, 52837, 52768, 52803, 50823, 52798, 52865, 54328, 55273, 54033, 50823, 52978, 52865, 54328, 65836, 62890, 50799, 52355, 50802, 51584, 65285, 54774, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 54774, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 50799, 52278, 50802, 51555, 65285, 61940, 54328, 56111, 52355, 50802, 51584, 50802, 60311, 50823, 61439, 55075, 54328, 54675, 52278, 50802, 51555, 53025, 54684, 52714, 50823, 51783, 50823, 54195, 50823, 50945, 54972, 55276, 52714, 50824, 51783, 50824, 65722, 50823, 51096, 52590, 54328, 56059, 54195, 50823, 50964, 63304, 54554, 59535, 50823, 50927, 51812, 54328, 50860, 51206, 52325, 54195, 50823, 51720, 53025, 50860, 50799, 52355, 50802, 51584, 65285, 61940, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 61940, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 73410, 50802, 51612, 51072, 50945, 61940, 54328, 56111, 52285, 50795, 60311, 50823, 61439, 55075, 54328, 54675, 51900, 50824, 51612, 55940, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 51784, 50824, 51567, 76317, 61940, 54328, 56059, 54116, 50811, 69107, 52702, 61443, 52837, 50811, 59535, 52768, 52798, 50823, 54195, 52865, 54328, 55273, 52978, 50823, 54116, 52865, 54972, 65836, 62890, 50799, 52355, 50802, 51584, 65285, 61940, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 61940, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 50799, 52278, 50802, 51555, 65285, 61940, 54328, 56111, 52355, 50802, 51584, 50802, 60311, 50823, 61439, 55075, 54328, 54675, 52278, 50802, 51555, 53025, 54684, 52714, 50823, 51783, 50823, 54195, 50823, 50945, 54972, 55276, 52714, 50824, 51783, 50824, 65722, 50823, 50945, 61940, 54328, 56059, 54195, 54328, 54554, 59535, 52865, 54328, 55273, 54195, 54328, 65836, 62890, 51755, 52466, 54286, 56111, 50816, 60061, 57996, 54675, 50856, 54684, 50856, 55276, 50816, 60061, 57996, 56059, 50856, 50860, 51899, 60061, 57996, 55273, 50816, 64595, 60061, 57996, 50860, 50799, 52714, 50993, 51584, 65285, 51029, 50843, 74947, 50801, 55573, 51567, 50823, 60311, 50823, 61439, 54328, 54675, 52714, 50824, 51567, 61512, 54328, 54684, 60311, 50823, 61439, 50823, 50964, 63304, 55276, 52355, 50824, 51584, 65285, 59110, 54328, 56059, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51567, 61512, 54328, 55273, 52278, 62455, 55940, 50860, 50799, 51612, 69277, 54328, 56111, 52355, 50802, 60311, 50823, 61439, 50823, 51011, 53025, 54675, 52278, 50802, 51612, 62455, 51812, 54328, 54684, 52714, 50802, 60311, 50823, 61439, 50823, 50964, 63304, 55276, 52355, 50824, 51567, 76317, 59110, 54328, 56059, 54148, 50811, 54116, 52702, 61443, 52978, 50811, 52837, 52768, 52803, 50823, 52798, 52865, 54328, 55273, 54033, 50823, 52978, 50823, 50964, 53025, 50860, 50799, 51584, 65285, 59110, 54328, 56111, 52714, 50993, 51567, 50823, 60311, 50823, 61439, 54328, 54675, 51567, 61512, 54328, 54684, 52714, 50823, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50993, 51584, 65285, 59110, 54328, 56059, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 52355, 50823, 51567, 61512, 54328, 55273, 52278, 62455, 55940, 50860, 50799, 51555, 51812, 60061, 54972, 56111, 52355, 50976, 51584, 50802, 60311, 50823, 61439, 50823, 52018, 51812, 60061, 54972, 54675, 52278, 50802, 51555, 50802, 64505, 54328, 54684, 52714, 50823, 51783, 50823, 54195, 50823, 50927, 52590, 54328, 55276, 52714, 51066, 51783, 50824, 65722, 50823, 50945, 59110, 54328, 56059, 54195, 54328, 54554, 59535, 52865, 54328, 55273, 54195, 50823, 50964, 53025, 50860, 50799, 52714, 50993, 51584, 65285, 59110, 54328, 56111, 51567, 50823, 60311, 50823, 61439, 54328, 54675, 52714, 50824, 51567, 61512, 54328, 54684, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50824, 51584, 65285, 59110, 54328, 56059, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51567, 61512, 54328, 55273, 52278, 62455, 55940, 50860, 50799, 51612, 69277, 54328, 56111, 52355, 50802, 60311, 50823, 61439, 50823, 51011, 53025, 54675, 52278, 50802, 51612, 62455, 51812, 54328, 54684, 52714, 50802, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50824, 51567, 76317, 54774, 54328, 56059, 54148, 50811, 54116, 52702, 61443, 52978, 50811, 52837, 52768, 52803, 50823, 52798, 52865, 54328, 55273, 54033, 50823, 52978, 54328, 50860, 52354, 61940, 54328, 56111, 52714, 50993, 51783, 50993, 60311, 50823, 61439, 54328, 50860, 51302, 54328, 54684, 52714, 50860, 51783, 50860, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50993, 51584, 50993, 50945, 59110, 54328, 56059, 60311, 50823, 61439, 54328, 54554, 52355, 50823, 51584, 52865, 54328, 55273, 52355, 50860, 51584, 66507, 52354, 61940, 54328, 56111, 52714, 50993, 51783, 50993, 60311, 50823, 61439, 54328, 50860, 51302, 54328, 54684, 52714, 50860, 51783, 50860, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50993, 51584, 50993, 50945, 59110, 54328, 56059, 60311, 50823, 61439, 54328, 54554, 52355, 50823, 51584, 52865, 54328, 55273, 52355, 50860, 51584, 66507, 52354, 61940, 52466, 54286, 56111, 52714, 50993, 51783, 50993, 60311, 50823, 61439, 54886, 60061, 57996, 54675, 50856, 54684, 52714, 50860, 51783, 50860 ]
[ 0, 250, 765, 37903, 9, 15352, 30054, 11057, 930, 11, 230, 3694, 6, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 274, 406, 73, 250, 7, 230, 119, 406, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 6, 7630, 14805, 10, 19448, 8, 25306, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50906, 67118, 50859, 50968, 55512, 51242, 50876, 51388, 51028, 51121, 50951, 50976, 50999, 50975, 51315, 51806, 50906, 51735, 51050, 51029, 50416, 50973, 50952, 50418, 51001, 72626, 50973, 50817, 50951, 50818, 56245, 50931, 65023, 51147, 50834, 63009, 60003, 51405, 50858, 51081, 50955, 51147, 50976, 50931, 51312, 51081, 77877, 50915, 50425, 50956, 65335, 72475, 50817, 50951, 50884, 51050, 52059, 50906, 53765, 50916, 77641, 72020, 63835, 50940, 50876, 61537, 52104, 50324, 51644, 50333, 51936, 50292, 56120, 50951, 51121, 50931, 51178, 50931, 51183, 73343, 57069, 51514, 50331, 50976, 50871, 51091, 50428, 50973, 50938, 50430, 50968, 50870, 61673, 50431, 50997, 58898, 50433, 50876, 50828, 51050, 52015, 50434, 51085, 52231, 51220, 50859, 51050, 51423, 50931, 51253, 51787, 67800, 51059, 50435, 51114, 61562, 50931, 69862, 60246, 55965, 50906, 50883, 50951, 52640, 50320, 61895, 50942, 76600, 74873, 51147, 51116, 50951, 51290, 50439, 51147, 65066, 50806, 51339, 51158, 50442, 60989, 50445, 50965, 50975, 50931, 51191, 50446, 58219, 51405, 50823, 51050, 74553, 66002, 52128, 50967, 50931, 51380, 50931, 63758, 62873, 50956, 50942, 64940, 50916, 51328, 51220, 50976, 50997, 51109, 51147, 53751, 50321, 51059, 50453, 50965, 74362, 67666, 51814, 66656, 58893, 51339, 50812, 51001, 52035, 50324, 51054, 50458, 50899, 78858, 71584, 51001, 51066, 56229, 52035, 50336, 51221, 51050, 51709, 50906, 51735, 50415, 59257, 51147, 78906, 50951, 78943, 50861, 77793, 50893, 50422, 50931, 51045, 50999, 53936, 50333, 51500, 50425, 51050, 50907, 50871, 67316, 56519, 75660, 73343, 51091, 50433, 51339, 51029, 50956, 51661, 50876, 51009, 51050, 51103, 50434, 51081, 51072, 50445, 51147, 56505, 50931, 51012, 50457, 51147, 50860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 14899, 3495, 2214, 6, 30291, 19, 3152, 4785, 6, 22750, 1626, 11098, 8, 12298, 9450, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 3185, 30, 5, 20425, 3222, 5785, 9, 3459, 9590, 6, 21979, 8669, 6, 21072, 6, 3551, 139, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 15352, 30054, 15229, 1575, 10, 33215, 16739, 9, 230, 6, 272, 6, 274, 6, 274, 119, 406, 6, 8, 274, 401, 6, 1271, 7, 63, 33558, 8, 2365, 12, 6928, 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 ]	[ 58402, 50796, 50433, 50804, 50817, 52594, 57784, 50804, 58772, 50804, 52911, 54358, 62904, 50824, 69108, 50824, 57048, 50811, 57857, 50837, 55350, 56628, 50945, 51541, 55769, 51483, 51288, 51483, 63496, 51483, 62114, 51047, 66206, 51145, 51976, 69764, 53611, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50419, 55851, 50893, 51634, 50893, 59019, 56763, 54540, 52441, 67991, 50424, 59885, 50937, 52341, 50937, 57587, 50937, 51768, 56823, 64231, 56919, 50856, 50962, 59493, 76000, 55851, 52827, 51634, 52827, 59019, 52827, 50432, 59775, 51142, 67991, 51164, 50878, 50433, 50945, 57626, 51133, 51047, 59089, 51145, 51976, 53540, 50800, 51332, 51419, 50885, 51417, 50868, 51417, 50847, 51417, 50440, 50964, 74601, 52018, 52441, 52029, 52080, 51955, 54092, 54736, 64231, 51740, 72091, 56478, 55037, 54540, 51142, 50964, 60777, 59661, 51024, 57793, 50851, 51332, 74651, 54512, 50936, 52563, 51090, 50684, 50318, 51391, 54393, 51714, 60627, 56932, 51449, 50939, 51359, 51007, 51295, 51257, 74905, 59775, 51283, 67991, 54512, 51030, 50425, 51011, 67566, 62966, 51749, 50804, 56658, 56823, 64231, 50800, 53880, 50894, 80211, 56257, 50684, 50318, 51145, 78701, 55921, 51010, 50909, 51623, 53880, 59894, 51186, 51388, 60627, 50800, 53628, 59357, 59775, 51097, 67991, 52394, 51054, 59885, 51603, 52341, 51603, 57587, 51603, 50445, 51133, 75500, 62966, 76258, 56606, 67854, 56823, 64231, 51754, 50856, 57888, 76840, 59885, 51072, 52341, 51072, 57587, 51072, 50457, 70432, 62114, 51047, 66206, 51145, 60627, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50415, 50945, 51573, 50418, 55851, 50865, 51634, 50865, 59019, 56202, 54540, 52441, 67991, 50424, 55769, 50879, 51288, 50879, 63496, 50879, 51302, 61151, 60764, 56823, 64231, 58812, 50856, 51010, 55851, 51362, 51634, 51362, 59019, 51362, 50432, 59775, 51142, 66586, 67991, 51164, 55467, 50964, 51745, 59089, 51318, 51133, 51148, 60627, 51820, 52018, 51283, 67991, 50885, 51484, 50868, 51484, 76963, 50449, 50856, 56106, 57887, 54540, 61737, 56823, 64231, 58740, 61499, 50856, 51010, 56478, 57973, 59089, 51058, 67991, 63062, 70687, 66177, 50799, 50684, 50318, 51253, 50953, 51054, 54393, 51353, 60627, 56932, 51359, 50939, 51353, 50909, 51241, 51257, 51353, 54512, 55492, 59775, 51714, 67991, 54512, 51033, 50425, 51011, 51090, 53212, 51259, 57480, 62966, 52431, 50903, 56823, 64231, 50800, 53880, 64058, 50856, 56257, 66322, 51309, 67991, 51007, 51742, 53880, 62591, 51186, 51354, 60627, 50800, 53628, 60224, 51133, 50911, 50684, 50318, 51419, 67991, 52394, 51072, 51382, 61151, 62746, 56823, 64231, 58740, 54358, 50893, 65459, 69108, 55764, 65059, 50856, 57888, 76840, 50461, 55769, 50805, 59793, 63496, 50805, 52354, 51745, 51720, 51145, 58374, 51148, 60627, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50419, 55851, 50849, 51634, 50849, 59019, 55099, 54540, 52136, 51230, 52080, 50425, 59885, 50849, 52341, 50849, 57587, 53466, 50856, 67854, 56823, 64231, 51907, 72149, 50945, 56087, 59775, 78263, 51010, 67991, 51164, 50878, 55851, 51541, 51634, 51541, 59019, 51541, 50437, 50964, 51573, 67465, 51047, 59089, 51145, 60627, 50800, 51332, 51419, 50885, 51417, 50868, 51417, 50847, 51417, 50444, 52018, 52441, 67991, 51955, 56823, 51373, 51740, 57793, 51907, 51010, 50455, 61207, 56478, 51754, 54540, 51142, 50856, 51010, 67991, 51332, 74651, 50953, 51090, 50799, 50684, 50318, 51253, 54393, 51353, 60627, 56932, 51449, 50939, 51359, 51007, 51295, 51257, 51353, 54512, 72207, 59775, 51714, 67991, 54512, 50940, 50425, 51011, 53765, 62966, 52431, 50856, 56606, 67854, 56823, 64231, 50800, 53880, 72303, 50856, 55736, 66322, 51309, 67991, 50909, 51623, 53880, 59826, 51186, 51286, 60627, 50800, 53628, 50911, 50443, 59885, 51388, 52341, 51388, 57587, 51388, 50444, 51133, 51379, 50684, 50318, 51419, 67991, 52394, 51454, 51382, 61151, 67854, 56823, 64231, 58740, 59885, 51603, 52341, 51603, 57587, 51603, 50456, 61499, 50856, 55461, 76840, 52354, 51541, 51720, 51145, 58374, 51148, 60627, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50418, 57440, 50879, 51622, 50879, 57120, 56179, 54540, 52136, 51230, 52080, 50424, 55851, 50938, 51634, 50938, 59019, 50938, 75457, 50890, 51768, 54092, 61474, 64231, 58812, 50856, 50930, 57440, 51013, 51622, 51013, 57120, 64919, 59775, 51210, 68171, 67991, 51164, 55467, 50964, 51573, 59089, 51318, 51133, 51148, 60627, 55923, 51145, 50868, 51145, 50847, 51145, 50443, 55851, 51294, 51634, 51294, 59019, 51294, 50444, 52018, 51283, 67991, 50450, 54540, 51003, 53212, 51698, 56823, 51373, 51740, 57148, 58740, 50964, 55764, 59089, 51058, 67775, 57793, 50851, 56478, 50925, 52563, 50806, 66322, 51363, 54393, 51151, 60627, 56932, 51359, 50939, 51353, 50909, 51241, 51257, 51353, 54512, 58808, 50953, 51074, 50684, 50321, 51448, 51553, 59318, 50421, 54512, 61001, 70701, 62966, 52528, 51068, 71453, 53611, 51740, 54332, 50962, 53880, 50940, 57773, 55286, 66322, 51295, 52234, 55801, 53869, 55921, 50930, 51007, 51742, 53880, 59646, 51186, 78992, 56234, 53187, 53189, 50800, 53628, 59591, 59775, 51295, 51289, 53255, 66990, 52394, 51054, 50445, 51133, 56160, 50684, 50321, 51159, 50856, 62949, 67614, 53611, 51907, 50930, 57688, 54663, 58623, 52095, 52054, 65936, 54358, 51310, 51211, 51310, 69108, 51310, 52354, 51573, 51720, 51047, 66206, 51145, 51976, 69764, 53611, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50420, 54540, 52441, 67991, 52338, 50879, 50425, 55769, 51714, 51288, 51714, 63496, 51714, 51768, 56823, 64231, 50800, 52665, 50940, 57773, 56629, 59775, 51142, 63042, 67991, 51164, 50878, 51946, 50887, 52196, 50924, 56107, 51541, 59089, 51318, 51133, 51148, 51976, 53540, 55923, 51679, 50868, 51679, 50847, 51679, 52196, 50828, 51946, 72758, 52018, 51283, 52029, 52080, 50450, 54540, 61737, 56823, 64231, 57465, 50804, 56354, 59089, 51058, 50964, 56795, 76840, 69047, 73483, 64059, 51996, 50940, 56478, 51008, 52563, 51030, 66322, 51363, 54393, 51151, 51976, 54853, 56932, 51359, 50939, 51353, 50909, 51241, 51257, 51353, 51946, 51045, 54512, 75832, 70802, 50684, 50321, 51448, 51230, 52080, 51946, 51021, 54512, 50921, 55851, 50918, 51634, 50918, 59019, 50918, 50425, 53880, 61177, 51011, 51016, 62966, 52528, 50903, 56823, 64231, 50800, 51996, 51870, 57773, 58221, 53880, 57943, 66322, 51295, 51190, 52080, 51007, 51742, 50437, 53628, 57626, 51186, 51286, 60627, 60459, 55769, 51227, 51288, 51227, 63496, 76264, 51133, 51192, 59775, 51295, 51340, 52080, 52394, 61860, 50684, 50321, 71547, 56823, 64231, 57465, 50804, 62172, 55851, 51173, 51634, 51173, 59019, 65651, 61207, 73517, 59318, 50461, 55769, 51446, 51288, 51446, 63496, 51446, 52354, 51090, 51720, 51145, 58374, 51148, 60627, 51835, 54540, 52136, 51230, 52080, 50885, 51484, 50872, 51484, 50850, 51484, 52338, 50806, 50425, 52665, 51158, 51768, 56823, 64231, 56919, 50804, 72149, 51996, 59099, 59775, 51210, 50945, 56285, 59318, 63062, 66181, 68059, 50437, 51946, 51030, 56107, 51573, 59089, 51318, 51133, 51148, 60627, 50800, 51332, 51419, 50885, 51417, 50868, 51417, 50847, 51417, 50444, 52018, 51283, 67991, 51996, 63758, 54540, 61737, 56823, 64231, 57465, 50804, 51010, 50455, 50964, 51923, 59089, 51058, 67991, 51332, 50878, 56478, 50936, 50457, 51996, 52512 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 8, 15855, 24904, 2125, 6, 42, 2214, 1931, 21683, 10, 12298, 1619, 4780, 150, 67, 3406, 33558, 223, 34693, 4, 20, 6755, 12547, 6, 20535, 2810, 6, 2342, 4467, 6, 32909, 6, 8, 2724, 368, 31365, 25999, 283, 561, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 6780, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 5, 15229, 30853, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 2060, 12361, 6, 163, 43531, 6, 230, 10431, 119, 401, 6, 2060, 73, 347, 6, 8, 163, 119, 401, 3639, 10, 2216, 46336, 12117, 7, 42, 17627, 17274, 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 ]	[ 54458, 78855, 60881, 50975, 51206, 62714, 52436, 50886, 57389, 51000, 51485, 50839, 51509, 50841, 52336, 50839, 54809, 50813, 51198, 50855, 51144, 50855, 51308, 54345, 54381, 52436, 50886, 57389, 50982, 51509, 50820, 52336, 50813, 51485, 50834, 54809, 50855, 51144, 50855, 51198, 50841, 51308, 54131, 58099, 54809, 52654, 52436, 50844, 57389, 50971, 51485, 50813, 51509, 50813, 52336, 50813, 51144, 50855, 51308, 50833, 51198, 54345, 52726, 52436, 50812, 57389, 50904, 51509, 50857, 52336, 50813, 51485, 50857, 54809, 50833, 74386, 51198, 50855, 51308, 54172, 52952, 52436, 50854, 57389, 50857, 51485, 50862, 51509, 50855, 52336, 50862, 54809, 50833, 51198, 50833, 74386, 51308, 53632, 53451, 52940, 52436, 50925, 57389, 50886, 51485, 50857, 51509, 50857, 52336, 50813, 54809, 50833, 52576, 50878, 51198, 50855, 51144, 50855, 51308, 54345, 52768, 52380, 50878, 61090, 50864, 51641, 50813, 51579, 50813, 52629, 50813, 55830, 50833, 52576, 50810, 51561, 50855, 64874, 51153, 53303, 51812, 52884, 53979, 50910, 66627, 50857, 51744, 50855, 51579, 50836, 55078, 50812, 54120, 50833, 52576, 50878, 64148, 58444, 51777, 54172, 50803, 50799, 52833, 50942, 64008, 50874, 52264, 50878, 53124, 50865, 52576, 50866, 51275, 50937, 51144, 50925, 51512, 50925, 51308, 57564, 51812, 59177, 50889, 50415, 51509, 50878, 53954, 58382, 51088, 50991, 51395, 51235, 51963, 51112, 52099, 51227, 52343, 51109, 51099, 51221, 51639, 51221, 50438, 51375, 51238, 51395, 51238, 52489, 51227, 52099, 51235, 51632, 51025, 51512, 51221, 51639, 65504, 51165, 50991, 51395, 50967, 51906, 51460, 52099, 51167, 51598, 51025, 51308, 51178, 51639, 51178, 50461, 51395, 51241, 66325, 51191, 51683, 51294, 52099, 51091, 52426, 59486, 50860, 51782, 52054, 51538, 50420, 64862, 51561, 50833, 51512, 52873, 53548, 52343, 58610, 57555, 52559, 51093, 50813, 51375, 50862, 52489, 50887, 51683, 50808, 51561, 50855, 51512, 50855, 51153, 52873, 53813, 51375, 51803, 51093, 51742, 52489, 51623, 51683, 51358, 52426, 51203, 57946, 54400, 51561, 50855, 59632, 51512, 52873, 52741, 52343, 70306, 53451, 52715, 54166, 51512, 50855, 59632, 51561, 52873, 50808, 76310, 70306, 52715, 54507, 51561, 50855, 59632, 51512, 52873, 59066, 51093, 60823, 51395, 51112, 51683, 51290, 52099, 51238, 52343, 70306, 53451, 52715, 52559, 51512, 50855, 59632, 51561, 52873, 61055, 51107, 56389, 51165, 51157, 51906, 51238, 51648, 51157, 52426, 70306, 52715, 52711, 51512, 50855, 59632, 51561, 52873, 63771, 51093, 69785, 51375, 51124, 52489, 50991, 51683, 51346, 52426, 70306, 53451, 51805, 54166, 51512, 50855, 51561, 50855, 51153, 54845, 50808, 63441, 51353, 51165, 51359, 51963, 53363, 51906, 53363, 52576, 70306, 52715, 52734, 58444, 51308, 50855, 51561, 52873, 53548, 52343, 70306, 52865, 52715, 53810, 51561, 50855, 58444, 51308, 52873, 52599, 51507, 58610, 52715, 54400, 58444, 51308, 50855, 51561, 52873, 52741, 51704, 59486, 53451, 51805, 54166, 58444, 51308, 50855, 51561, 52873, 50808, 64846, 61525, 52715, 52734, 51561, 50855, 51308, 50833, 51099, 52873, 63790, 51165, 51345, 50426, 51088, 51124, 51963, 50980, 51906, 51566, 52237, 58610, 51812, 51805, 52559, 51308, 50855, 51639, 50833, 51099, 52873, 53813, 51088, 50967, 51395, 51238, 51963, 51167, 52099, 51460, 51598, 70306, 52715, 54400, 51639, 50855, 58444, 51308, 52873, 52741, 51165, 51238, 51182, 51238, 51906, 51227, 51776, 51235, 52343, 70306, 53451, 51805, 52643, 51308, 50833, 51639, 50833, 51099, 54845, 50840, 66325, 50889, 51629, 51294, 51683, 51016, 52747, 51362, 52237, 51043, 57946, 52734, 51308, 50855, 51275, 50833, 51512, 52873, 53548, 51632, 70306, 53451, 51805, 59955, 51375, 51941, 51201, 52605, 51713, 50808, 52489, 50821, 51512, 50855, 51308, 50855, 51275, 52873, 53813, 51107, 51358, 52489, 51896, 51648, 51358, 52576, 70306, 52715, 54400, 51308, 50855, 51275, 50855, 51512, 52873, 53688, 51632, 70306, 53451, 51805, 54166, 51512, 50855, 51275, 50833, 51308, 52873, 50840, 64846, 54035, 52715, 54507, 51308, 50855, 51275, 50855, 51512, 52873, 53548, 51375, 51116, 51165, 51345, 52489, 51175, 51906, 51460, 52237, 58610, 53451, 52715, 53810, 51512, 50855, 51308, 50855, 51275, 52873, 53813, 51375, 51238, 51093, 51157, 52489, 51235, 51683, 51112, 51632, 67567, 52715, 54400, 51512, 50833, 51639, 50833, 51144, 50855, 51153, 52938, 58432, 51107, 67081, 51375, 51238, 52489, 51379, 51648, 51116, 52237, 58610, 51812, 51805, 54166, 51308, 50855, 51275, 50833, 51512, 54845, 50840, 63441, 51048, 51395, 50889, 51963, 51091, 52099, 51294, 52343, 58610, 52715, 54507, 64874, 51308, 52938, 64729, 51979, 50827, 52436, 53901, 51979, 50901, 52436, 50901, 52833, 50905, 52237, 51203, 51099, 50937, 51308, 50937, 51275, 57564, 53451, 51805, 50808, 51361, 55782, 51979, 50867, 52436, 50862, 53786, 50857, 51099, 50841, 51308, 50841, 51639, 53116, 51979, 50959, 52436, 50925, 53493, 50942, 52343, 51043, 51308, 50855, 65299, 51099, 53303, 52715, 54400, 51979, 50959, 52436, 50942, 53786, 50854, 51639, 50833, 64874, 51308, 52938, 53688, 51979, 50810, 52436, 50833, 52833, 50810, 52237, 51043, 64874, 51308, 50855, 51275, 53303, 53451, 51805, 52643, 51979, 50822, 52380, 50844, 52608, 50862, 51561, 50855, 64874, 51153, 52938, 50840, 50799, 52608, 50959, 51979, 51058, 52436, 50866, 52343, 51101, 51561, 50925, 51099, 50937, 51308, 57564, 51805, 71417, 53548, 70727, 50827, 51088, 51346, 51395, 51238, 51963, 50980, 52099, 51160, 52182, 51480, 52161, 51025, 52343, 50915, 51099, 51221, 51639, 68871, 53451, 51805, 50808, 51361, 53813, 51375, 51215, 51395, 51215, 52489, 51500, 52099, 51160, 53320, 51203, 52161, 51255, 51632, 50915, 51512, 51377, 51639, 70811, 52715, 63038, 70727, 50867, 51180, 53688, 70727, 50862, 51165, 50967, 51395, 51100, 51906, 51158, 52099, 50967, 52315, 51203, 52161, 51203, 51598, 51203, 51308, 51221, 51639, 70811, 53451, 51805, 54166, 50843, 58693, 51093, 51191, 51395, 51191, 50799, 70727, 50840, 51683, 51091, 52099, 50889, 51752, 51419, 52161, 51419, 52426, 59486, 50860, 51782, 52526, 51538, 50420, 51561, 50855, 59632, 51512, 52873, 52450, 52343, 58610, 66135, 53810, 61090, 50886, 71595, 51375, 50836, 51683, 50808, 52489, 50840, 53320, 50886, 51752, 50886, 51561, 50855, 51512, 50855, 51153, 52873, 52599, 61090, 51218, 51375, 51127, 51093, 51103, 52489, 51623, 51683, 51591, 53320, 52783, 51752, 52015, 52426, 58610, 52715, 54400, 51561, 50855, 59632, 51512, 52873, 53688, 52426, 58610, 66135, 52643, 59632, 51561, 50855, 51512, 52873, 50840, 76310, 70306, 52715, 54507, 59632, 51561, 50855, 51512, 52873, 53548, 70727, 50942, 51093, 51048, 51395, 51112, 51683, 51048, 52099, 51346, 51752, 51411, 52161, 51534, 52343, 58610, 77801, 52559, 51561, 50841, 59632, 51512, 51406, 58566, 51165, 51345, 50438, 51107, 51157, 51906, 51227, 51648, 51157, 51596, 51480, 52315, 51203, 52426, 58610, 52715, 63038, 64008, 57940, 59632, 51561, 50855, 51512, 52873, 53688, 61090, 51008, 51093, 51346, 51375, 51116, 52489, 51112, 51683, 51346, 53320, 51412, 51752, 51412, 52343, 58610, 53451, 51805, 52643, 51561, 50855, 59632, 51512, 52873, 50808, 50799, 57389, 51381, 51088, 51359, 51165, 51036, 51963, 51036, 51906, 51264, 52182, 51313, 52315, 51313, 52237, 53840, 52715, 52734, 51561, 50855, 58444, 51308, 52873, 53548, 52343, 70306, 53451 ]
[ 0, 250, 765, 6, 1372, 15855, 2125, 4246, 41, 21979, 8669, 816, 10, 19448, 33301, 11, 381, 3694, 4, 20, 2214, 34, 10, 2635, 20889, 9, 1510, 13410, 228, 2289, 8, 3905, 10, 33215, 16739, 9, 1918, 6, 3676, 6, 8, 163, 119, 4, 590, 63, 11653, 8, 5679, 26709, 13408, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 657, 8, 36474, 13005, 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 ]	[ 57528, 51131, 76971, 50960, 63229, 50970, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 56039, 51131, 50918, 50440, 50986, 66584, 50998, 51291, 50443, 50947, 51291, 50450, 50675, 50337, 50918, 73934, 76971, 50998, 63229, 50929, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 51161, 50438, 50621, 50947, 56811, 65429, 57528, 51292, 50807, 52012, 54994, 50986, 51631, 61337, 51067, 51736, 56422, 51292, 51646, 57304, 52012, 56027, 56422, 50947, 51798, 50998, 57484, 51923, 56422, 57304, 50799, 72211, 51574, 54994, 51311, 51631, 50998, 57484, 53182, 51311, 51646, 52012, 50918, 50998, 56027, 51574, 51798, 50986, 53312, 57304, 50799, 51292, 51358, 52012, 59047, 51311, 51631, 50986, 51736, 50998, 51646, 50947, 53218, 50947, 51798, 60502, 59737, 50929, 53312, 70858, 50799, 62978, 51444, 59047, 57304, 51032, 51631, 59205, 51067, 51358, 50432, 50947, 51646, 50970, 51918, 50998, 51798, 50960, 51923, 51292, 50800, 50986, 54093, 51563, 50800, 58700, 50807, 51788, 53561, 51032, 52910, 51788, 50795, 51207, 53182, 61830, 51563, 51646, 61351, 51067, 53218, 50970, 51798, 60502, 59737, 50929, 53312, 62978, 50799, 51438, 50795, 71048, 51444, 54994, 51292, 51631, 62978, 50970, 53182, 51032, 51646, 61337, 51725, 50983, 50947, 60865, 50960, 51798, 50986, 53312, 53092, 50795, 57304, 50799, 51292, 51358, 52012, 59047, 51311, 51631, 50986, 51736, 50998, 51646, 50947, 53218, 50947, 51798, 60502, 59737, 50929, 53312, 70858, 50799, 59205, 62978, 51444, 54994, 61675, 51292, 51631, 71048, 51438, 53218, 50622, 51292, 51798, 51067, 51923, 70858, 57528, 57304, 51131, 76971, 50986, 63229, 50998, 51291, 50420, 50947, 51631, 50929, 51736, 50947, 51646, 61662, 51444, 50918, 50440, 51131, 66584, 50960, 51291, 50444, 51067, 51798, 51032, 51923, 62978, 50799, 59498, 51076, 70374, 50960, 51048, 50417, 51078, 58938, 66615, 58352, 50428, 51311, 51048, 50429, 50998, 60847, 50621, 50947, 57269, 52728, 73008, 65429, 57528, 61675, 61830, 51292, 50807, 52012, 56100, 61662, 51076, 51631, 59205, 57304, 51067, 51736, 61337, 63127, 51292, 51646, 51136, 72180, 50947, 51918, 59241, 61662, 50947, 51798, 61728, 50970, 57484, 51923, 56422, 61337, 57304, 73934, 50795, 67674, 72211, 51574, 54994, 75045, 50960, 51631, 61750, 51317, 57484, 53182, 66952, 51317, 51646, 61750, 61728, 52012, 50918, 50998, 56027, 75045, 50960, 51798, 59737, 51317, 53312, 57304, 50799, 51292, 51358, 52012, 56100, 61675, 51076, 51631, 61662, 51064, 51736, 59205, 50947, 51646, 61337, 51169, 51918, 51136, 72180, 50947, 51798, 61337, 63127, 51032, 51923, 59205, 57304, 70858, 50799, 62978, 51078, 50807, 68137, 51444, 59047, 51032, 51631, 59205, 57304, 51067, 62715, 61662, 51064, 51646, 61675, 51076, 51918, 61662, 51064, 51798, 61675, 51076, 51923, 51292, 50800, 63127, 51032, 54093, 51563, 50800, 50799, 51788, 50807, 50970, 54994, 51292, 51631, 79008, 51563, 51736, 51788, 51646, 70344, 51246, 56027, 50947, 51798, 63127, 60502, 51032, 51923, 61675, 62978, 62978, 50799, 59205, 57304, 51438, 50795, 51207, 79767, 61662, 63139, 51292, 51631, 51136, 72180, 51067, 51736, 59241, 61662, 51032, 51646, 61728, 59205, 50947, 60865, 51725, 50795, 50998, 51798, 53092, 50795, 51136, 51923, 53271, 50795, 59241, 57304, 65309, 50918, 51292, 79767, 51311, 51631, 50986, 51736, 50998, 51646, 51169, 53218, 50947, 51798, 59205, 57304, 51032, 51923, 61662, 63139, 70858, 60938, 50795, 61830, 62978, 51444, 54994, 61662, 63139, 51292, 51631, 50970, 62526, 51438, 53218, 50622, 51292, 51798, 51067, 51923, 70858, 57528, 57304, 51131, 76971, 50986, 63229, 50998, 51291, 50420, 50947, 51631, 50929, 51736, 50947, 51646, 59241, 51444, 50918, 50440, 51131, 66584, 50960, 51291, 50443, 51078, 51291, 50444, 50960, 51798, 50986, 51923, 59241, 50799, 69095, 78297, 50807, 51076, 52910, 59498, 62299, 58352, 51076, 52424, 51131, 52728, 59857, 50799, 62299, 52012, 56100, 50929, 50983, 50947, 50983, 51032, 59492, 50960, 51736, 50998, 51646, 51131, 51918, 61750, 50986, 50983, 50998, 50983, 50947, 58624, 51207, 51923, 61750, 50799, 69095, 51574, 54994, 59241, 61662, 51076, 51631, 51207, 53182, 50998, 72180, 51076, 51646, 51574, 50983, 51725, 56027, 53729, 51798, 61777, 53312, 61750, 65309, 79767, 53729, 51631, 61777, 51736, 72960, 51646, 50675, 50337, 56027, 51131, 51798, 50986, 51923, 61337, 60533, 59047, 62299, 51078, 57269, 53182, 61777, 51646, 53729, 51918, 50675, 50339, 51798, 50675, 50337, 51923, 61777, 50800, 53729, 54093, 51563, 50800, 50799, 62768, 51788, 53561, 51032, 51631, 51563, 50795, 62299, 51316, 53182, 51788, 51646, 71890, 51067, 53218, 50970, 51798, 60502, 59737, 51078, 53312, 62978, 50799, 51438, 50795, 62768, 68137, 51207, 54994, 51292, 51631, 62978, 62299, 50929, 53182, 51032, 51646, 51504, 50795, 50947, 50983, 50986, 50918, 50998, 56027, 51574, 51798, 51444, 51923, 51725, 50795, 57304, 50799, 51292, 51358, 52012, 59047, 51311, 51631, 50986, 51736, 50998, 51646, 50947, 53218, 50947, 51798, 60502, 59737, 50929, 53312, 70858, 50799, 59205, 62978, 51444, 59047, 61675, 51292, 51631, 71048, 51438, 53218, 50947, 51798, 60502, 61351, 51078, 53312, 70858, 74080, 57484, 50807, 68137, 51207, 54994, 51292, 51631, 56745, 71048, 51438, 52424, 50622, 50444, 51292, 51798, 51067, 51923, 70858, 57528, 51131, 76971, 50960, 63229, 50970, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 56039, 51131, 50918, 50440, 50986, 66584, 50998, 51291, 50443, 50947, 51291, 50450, 50675, 50337, 50918, 73934, 76971, 50998, 63229, 50929, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 56039, 50947, 68862, 60502, 57448, 51444, 51036, 51067, 51036, 50416, 50986, 64163, 50998, 51036, 50419, 50970, 51605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2635, 12, 20764, 1619, 3495, 2214, 11, 381, 538, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 21979, 9590, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 7630, 6568, 10, 32076, 8, 33558, 5466, 4, 20, 33215, 16739, 9, 381, 6, 381, 12361, 6, 83, 6, 230, 10431, 6, 8, 274, 10431, 119, 3639, 10, 2842, 9, 46336, 30368, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50791, 50883, 51544, 50883, 51570, 50883, 52320, 50883, 50799, 52381, 50942, 58889, 50897, 50935, 50809, 52238, 50809, 60336, 50925, 50418, 57473, 50862, 54294, 71876, 52778, 50855, 52838, 53049, 51489, 50866, 54513, 51100, 50992, 50818, 54294, 56522, 61426, 52461, 50862, 52405, 66855, 52778, 50836, 52838, 55467, 51232, 65675, 50809, 51733, 50942, 50442, 52381, 50844, 52405, 69775, 51489, 50812, 51733, 56060, 51429, 50855, 52070, 50925, 51042, 50818, 51905, 55966, 61807, 51489, 50854, 51733, 61997, 52533, 51359, 51558, 50925, 72722, 51677, 51232, 53588, 51512, 52062, 51429, 53142, 51217, 51161, 52830, 52222, 51375, 53142, 51107, 52151, 51629, 51419, 51544, 50883, 52320, 65493, 51708, 50910, 51847, 51753, 50799, 51789, 51101, 51232, 50866, 67034, 51017, 50995, 61560, 62781, 50415, 51119, 50917, 50422, 52604, 55440, 52156, 67141, 59382, 51686, 54014, 51606, 51043, 79274, 75707, 50439, 51847, 51477, 51144, 51310, 51119, 51218, 51708, 51391, 50446, 52604, 65029, 58596, 52893, 61807, 52156, 53197, 52586, 52893, 61765, 51686, 52784, 52586, 70917, 54079, 51013, 51686, 50866, 52070, 50813, 51578, 50841, 52353, 50855, 51171, 51048, 73420, 50944, 50967, 68650, 51491, 51183, 52553, 52893, 62740, 52070, 50870, 51578, 50829, 52353, 51559, 78893, 52083, 51422, 52070, 50870, 51578, 50839, 52353, 51467, 54953, 51389, 50952, 52070, 50837, 51578, 50828, 52353, 61575, 63538, 62372, 52467, 51135, 52893, 61426, 51216, 50952, 52070, 50825, 51578, 50855, 52353, 53340, 79302, 51273, 50952, 52070, 50813, 51578, 50836, 52353, 53303, 51041, 55379, 51868, 51013, 52070, 50864, 52461, 50829, 52929, 50836, 51506, 51100, 50944, 50917, 74097, 51357, 50943, 52553, 52893, 63895, 52070, 50904, 52461, 50867, 52929, 53111, 51129, 50446, 52070, 50886, 52461, 50841, 52929, 53111, 55038, 51705, 51238, 52070, 50857, 51948, 50855, 52929, 50862, 51506, 50967, 50944, 51178, 50939, 50967, 51125, 51110, 51165, 51162, 61394, 52893, 61807, 52070, 50813, 51948, 50829, 52929, 53340, 73966, 52070, 50820, 51948, 50841, 52929, 52217, 51129, 68515, 51364, 52083, 51101, 52461, 50941, 52353, 50867, 54513, 50857, 51791, 51121, 51042, 57046, 51100, 50944, 50849, 51491, 51103, 52553, 52893, 62740, 52461, 50891, 52353, 50837, 54513, 53111, 78893, 51886, 50878, 52461, 50863, 52353, 50834, 54513, 52873, 54953, 52604, 51101, 52461, 50863, 52353, 50841, 54513, 50836, 51042, 62830, 60590, 52467, 51135, 52893, 61426, 52461, 50863, 52353, 50820, 54513, 52217, 79302, 51705, 50952, 52156, 50810, 52461, 50863, 52353, 50834, 54513, 50855, 51042, 66327, 68015, 54534, 51041, 55379, 51668, 51364, 51565, 50845, 52461, 50863, 52353, 50829, 53519, 50840, 51042, 72098, 50967, 68823, 51088, 51127, 52553, 52893, 63895, 52461, 50863, 52353, 50829, 53519, 52873, 51129, 50446, 51886, 51101, 52461, 50837, 52353, 50820, 53519, 53618, 51041, 55038, 52461, 50837, 52353, 50820, 53519, 50855, 51042, 59495, 58269, 52467, 51135, 52893, 61807, 52604, 50878, 52461, 50837, 52353, 50834, 53519, 52217, 73966, 51705, 50952, 52156, 50878, 52461, 50904, 52353, 50829, 53519, 51464, 51129, 56098, 51364, 52251, 51714, 52461, 50982, 52353, 50870, 52778, 50863, 57473, 50825, 51396, 50795, 51375, 51307, 52553, 52893, 62740, 52461, 51000, 52778, 50834, 57473, 51750, 78893, 52461, 50863, 52778, 50841, 57473, 70247, 51049, 54953, 52461, 50837, 52778, 50841, 57473, 75705, 61658, 52467, 51135, 52893, 61426, 52461, 50863, 52778, 50820, 57473, 51464, 79302, 52659, 50952, 52461, 50863, 52778, 50834, 57473, 53852, 51041, 55379, 51493, 51294, 52461, 50863, 52778, 50839, 57473, 60576, 76153, 63723, 52259, 51041, 52893, 63895, 52461, 50863, 52778, 50834, 57473, 51467, 51129, 50446, 52461, 50837, 52778, 50829, 57473, 65892, 51044, 55038, 52461, 50837, 52778, 50841, 57473, 64073, 74643, 73352, 75294, 52893, 61807, 51668, 50952, 52461, 50837, 52778, 50834, 57473, 52873, 73966, 51984, 50859, 52461, 50837, 52778, 50828, 57473, 51187, 51129, 54389, 51294, 51686, 50845, 51578, 50867, 52929, 50867, 52778, 75096, 50809, 51017, 58131, 50809, 51266, 51242, 51284, 51242, 51905, 51233, 52553, 52893, 62740, 51578, 50904, 52929, 50863, 52778, 51559, 78893, 51686, 50845, 51578, 50863, 52929, 50904, 52778, 53111, 54953, 51578, 50941, 52929, 50864, 52778, 67510, 72248, 61896, 75294, 52893, 61426, 51686, 50813, 51578, 50837, 52929, 50857, 52778, 67510, 50839, 51017, 61658, 51044, 79302, 51216, 50952, 51686, 50810, 51578, 50825, 52929, 50839, 52778, 53852, 51041, 55379, 51868, 51073, 52433, 51134, 52929, 50971, 52778, 50867, 57473, 50857, 51017, 51060, 50868, 56792, 51060, 51905, 50838, 51733, 50845, 52838, 51242, 52553, 52893, 63895, 52929, 50904, 52778, 50857, 57473, 53065, 51129, 50446, 52929, 50904, 52778, 50839, 57473, 53303, 51041, 55038, 51150, 51345, 51837, 50857, 53629, 50813, 53519, 65262, 55501, 55914, 51304, 51277, 51733, 51242, 51926, 56993, 51135, 52893, 61807, 52480, 51101, 51837, 50886, 53629, 50867, 53519, 52873, 73966, 51837, 50857, 53629, 50813, 53519, 51467, 51129, 59000, 51364, 52433, 50845, 52461, 50857, 52353, 50839, 54513, 50836, 51042, 72098, 51060, 50944, 51060, 51558, 51806, 51384, 51199, 52405, 51199, 52553, 52893, 62740, 52461, 50904, 52353, 50829, 54513, 53340, 78893, 51886, 51452, 52461, 50837, 52353, 50834, 54513, 51559, 54953, 52461, 50904, 52353, 50834, 54513, 50862, 51042, 66327, 65535, 54212, 51135, 52893, 61426, 52461, 50863, 52353, 50835, 54513, 53111, 79302, 51668, 50952, 52461, 50825, 52353, 50820, 54513, 50855, 51042, 66327, 68058, 53756, 51041, 55379, 51705, 51073, 52461, 50837, 52353, 50820, 54513, 50862, 51791, 50855, 51600, 51283, 51558, 51477, 51384, 51535, 52553, 52893, 63895, 52461, 50837, 52353, 50834, 54513, 50855, 51042, 53111, 51129, 50446, 52461, 50825, 52353, 50820, 54513, 59162, 52873, 55038, 51668, 51013, 52461, 50835, 52353, 50841, 54513, 68015, 51907, 51135, 52893, 61807, 52433, 51101, 52461, 50835, 52353, 50841, 54513, 59495, 51421, 73966, 52461, 50834, 52353, 50841, 54513, 50855, 51042, 51044, 51129, 56098, 51294, 52604, 50845, 52461, 50863, 52353, 50829, 54513, 60660, 63538, 50809, 51357, 51283, 51107, 51803, 51600, 51452, 52553, 52893, 62740, 52461, 50891, 52353, 50837, 54513, 53111, 78893, 52604, 51397, 52461, 50908, 52353, 50837, 54513, 62626, 63264, 51421, 54953, 52461, 50863, 52353, 50829, 54513, 54617, 51135, 52893, 61426, 52461, 50863, 52353, 50829, 54513, 59760, 63538, 51421, 79302, 51493, 50887, 52461, 50863, 52353, 50835, 54513, 54534, 51041, 55379, 51493, 51013, 52461, 50863, 52353, 50834, 54513, 50834, 72177, 51428, 51041, 52893, 63895, 52461, 50837, 52353, 50829, 54513, 51437, 51129, 50446, 52433, 51134, 52461, 50829, 52353, 50839, 54513, 53618, 51041, 55038, 51668, 51215, 51948, 50825, 52929, 50829, 52709, 67508, 55664, 50795, 51488, 51412, 51201, 51255, 61394, 52893, 61807, 51948, 50837, 52929, 50837, 52709, 51464, 73966, 51493, 50952, 51948, 50825, 52929, 50829, 52709, 51559, 51129, 54389, 51294, 52604, 51047, 51578, 50837, 52929, 50904, 52778, 50862, 51017, 51221, 51113, 51391, 51488, 51542, 51266, 51391, 52553, 52893, 62740, 51578, 50891, 52929, 50863, 52778, 60722, 53710, 78893, 51578, 50837, 52929, 50837, 52778, 58875, 51370, 54953, 51578, 50829, 52929, 50829, 52778, 69268, 54416 ]
[ 0, 250, 2635, 12, 20764, 3495, 2214, 11, 83, 538, 6, 7630, 14805, 10, 19448, 8, 8728, 1619, 5466, 4, 20, 33301, 16, 2584, 30, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 8, 2724, 368, 31365, 25999, 6, 19, 41, 3459, 9590, 1976, 5, 4811, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 1575, 10, 33215, 16739, 9, 83, 6, 163, 119, 6, 83, 73, 717, 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 ]	[ 61791, 53028, 71523, 50817, 51570, 50817, 52320, 50817, 52228, 76520, 52491, 67320, 52891, 50930, 50799, 56387, 52500, 52176, 51977, 51708, 51238, 51198, 50991, 51494, 51215, 53722, 53241, 51944, 51167, 51440, 51160, 51669, 51167, 52228, 50880, 51171, 63430, 66801, 51158, 50850, 50980, 50418, 53880, 51661, 51171, 52734, 50848, 60853, 51171, 68907, 51708, 51124, 51847, 51238, 51232, 50991, 51660, 50858, 51440, 50821, 52361, 50821, 51017, 65102, 51175, 50850, 51227, 50430, 51171, 52559, 51017, 60085, 51171, 52322, 51708, 51111, 52040, 51060, 51198, 51111, 51434, 50893, 51440, 51192, 52043, 63031, 54190, 53006, 51238, 50442, 51171, 63322, 50868, 57993, 53880, 51031, 57137, 50448, 52176, 51203, 50868, 53886, 51708, 50879, 51198, 51173, 51494, 51158, 51944, 50948, 51440, 50936, 51669, 50948, 52228, 50950, 51171, 51173, 50848, 63979, 50952, 50850, 51227, 50454, 52491, 59709, 57939, 50944, 57459, 52891, 50930, 51171, 50940, 50799, 58001, 51696, 52533, 51173, 52040, 51227, 51232, 51235, 51099, 51235, 55243, 54055, 51434, 51167, 51808, 51379, 52043, 51192, 52491, 51870, 51217, 51167, 50868, 60877, 51238, 50418, 50868, 52734, 50847, 60853, 52533, 51417, 50868, 61083, 51217, 63447, 52040, 50967, 51561, 51060, 51494, 51215, 51944, 50879, 51808, 50806, 52603, 61613, 66275, 50830, 50935, 51238, 50430, 50979, 54372, 50944, 57307, 51217, 77486, 52040, 51238, 51494, 51235, 51119, 51235, 51440, 51192, 51808, 51286, 53335, 60338, 61267, 50921, 50935, 51238, 50442, 50944, 51820, 50850, 61094, 54727, 50949, 51217, 73079, 52040, 51158, 51232, 51173, 75916, 51434, 50806, 51808, 50911, 52043, 50806, 52491, 61458, 59262, 65714, 51158, 50454, 52891, 78341, 57313, 50847, 57459, 52533, 50825, 51979, 50880, 51217, 50830, 67094, 51343, 51869, 51095, 51198, 50991, 51232, 51215, 52806, 53241, 51434, 51215, 51440, 51167, 51669, 51175, 52891, 51483, 50946, 51158, 50850, 50940, 50418, 50848, 51835, 50850, 50936, 50422, 52491, 51226, 50946, 77224, 51869, 51116, 51847, 51215, 51232, 51215, 51434, 51175, 51440, 51379, 52361, 51167, 51017, 50910, 50850, 65744, 51017, 62108, 52537, 51562, 50946, 65294, 51869, 51194, 52040, 51177, 51198, 51178, 51434, 50893, 51808, 66763, 69855, 65292, 51073, 50442, 51042, 50910, 57403, 70894, 53880, 50949, 50946, 51173, 50448, 51042, 53533, 51869, 50938, 51847, 50865, 51232, 50865, 51434, 50893, 51440, 51192, 52361, 51173, 52891, 51045, 51017, 50940, 50868, 78560, 51060, 50454, 52172, 50962, 50946, 51754, 51017, 58839, 52891, 50930, 50946, 50940, 50460, 52491, 50828, 50799, 56387, 52536, 52176, 50948, 51708, 50991, 51198, 51238, 51494, 51238, 53722, 51469, 51944, 51173, 51440, 51167, 51669, 51173, 52228, 51551, 51171, 51343, 50848, 76767, 50940, 50418, 50848, 54681, 50944, 59432, 52176, 51162, 50850, 54818, 51708, 51112, 51847, 51238, 51232, 51235, 51660, 51175, 51440, 51167, 52361, 51167, 51017, 60709, 78560, 50948, 50430, 51017, 54372, 50868, 62108, 52176, 51025, 51171, 63418, 51708, 51175, 52040, 51192, 51198, 51173, 51434, 51173, 51440, 51286, 52043, 51192, 50868, 59262, 50952, 50850, 50924, 50442, 50868, 52711, 50847, 57225, 52176, 51203, 53880, 51010, 50868, 61190, 51171, 56812, 53483, 50795, 51708, 50805, 51198, 50879, 51944, 51566, 51440, 51454, 51669, 51055, 52228, 60874, 63979, 66857, 51158, 50454, 50848, 57939, 52491, 50930, 50944, 58839, 52891, 50962, 50946, 50921, 62404, 51496, 51708, 50821, 51198, 50948, 51494, 51030, 53722, 50961, 51944, 51167, 51440, 51160, 51669, 51167, 52228, 50950, 51171, 51496, 50848, 60728, 51460, 50418, 51119, 50806, 53880, 52311, 67653, 58741, 51708, 76800, 68712, 50946, 53244, 51847, 51192, 51232, 51167, 51119, 50836, 51660, 50858, 51440, 50821, 52361, 50821, 51017, 79396, 50948, 50430, 51119, 50940, 50946, 54372, 51017, 58877, 52176, 51112, 51171, 51290, 50436, 50946, 58818, 52040, 51175, 51198, 51167, 51434, 50893, 51440, 51192, 52043, 63031, 50948, 50847, 50806, 50442, 51119, 73564, 60204, 50868, 57225, 52176, 51235, 53880, 50811, 51171, 51175, 50448, 50946, 51757, 51708, 50806, 51198, 51192, 51494, 51192, 51944, 50948, 51440, 50936, 51669, 50948, 52228, 51045, 50848, 72031, 50980, 50452, 50946, 51060, 50454, 51119, 50858, 52491, 50882, 51171, 54418, 50848, 69085, 52176, 50818, 52891, 50962, 51171, 50830, 69935, 51552, 52040, 50858, 51232, 51030, 51099, 51030, 55243, 54055, 51434, 51167, 51808, 51379, 52043, 51192, 52491, 51009, 51217, 51173, 77301, 50868, 50940, 50847, 50940, 50418, 52040, 50924, 51042, 52734, 50868, 73489, 51232, 50884, 51217, 51566, 50424, 51042, 58798, 52040, 50795, 51561, 51173, 51494, 51192, 51944, 50879, 51808, 50806, 52603, 61613, 50948, 50944, 51192, 50430, 51429, 50952, 51042, 59099, 50979, 58877, 52533, 52195, 51217, 51055, 50436, 51042, 58818, 52040, 50859, 51494, 50936, 51119, 50936, 51440, 51192, 51808, 51286, 53335, 60338, 65396, 50948, 50442, 52040, 50865, 51042, 60021, 50944, 57225, 51494, 50884, 54727, 51031, 51217, 51160, 50448, 51042, 55178, 52040, 50894, 51232, 50802, 51099, 50923, 51434, 50806, 51808, 50911, 52043, 50806, 52491, 61458, 50936, 50847, 51167, 50454, 52040, 50812, 52891, 50894, 51042, 52643, 50868, 58839, 52533, 50809, 51979, 50930, 51217, 50910, 67094, 52282, 51869, 50800, 51198, 51215, 51232, 50879, 52806, 53241, 51434, 51215, 51440, 51167, 51669, 51175, 52891, 50976, 50848, 50940, 50868, 56491, 50936, 50418, 51869, 50897, 50946, 50948, 58082, 65291, 51232, 50809, 52491, 51761, 50868, 72417, 50946, 72104, 51869, 50800, 51847, 51175, 51232, 51215, 51434, 51175, 51440, 51379, 52361, 51167, 51017, 60709, 66857, 50948, 50430, 51869, 50925, 51017, 54372, 50868, 62108, 50946, 50911, 50436, 51042, 54233, 52040, 50893, 51198, 50893, 51434, 50893, 51808, 56747, 56548, 51173, 50442, 51099, 50952, 50946, 60492, 51042, 70292, 52537, 51235, 52040, 50839, 53880, 64063, 71480, 50946, 58631, 51708, 51215, 51847, 51167, 51232, 51175, 51434, 50893, 51440, 51192, 52361, 51173, 52891, 51045, 51017, 50940, 50868, 51286, 50850, 51379, 50454, 79408, 52172, 50962, 50946, 54663, 51017, 59672, 52537, 50809, 52891, 51010, 50946, 50940, 50460, 52491, 50818, 55858, 50818, 52176, 51566, 51708, 50808, 51198, 50865, 51494, 50924, 50927, 51527, 53722, 51167, 52806, 51173, 51944, 51173, 51669, 51175, 52371, 51196, 51251, 51336, 52228, 51527, 51171, 51226, 51007, 50893, 50418, 51708, 65761, 53113, 50944, 51290, 50422, 51198, 50841, 52806, 50812, 51944, 65968, 55341, 69773, 76437, 51275, 50880, 51944, 50890, 51669, 50880, 51007, 51379, 50430, 51198, 50887, 51275, 50930, 51944, 50840, 51171, 62798, 52359, 50944, 65604, 52176, 50809, 53722, 50836, 51171, 50940, 51450, 53479, 53498, 50841, 51869, 51286, 51099, 50858, 51429, 50858, 78157, 50953, 51527, 52769, 50806, 51434, 50936, 51808, 50911, 51669, 50911, 51699, 51196, 51088, 51077, 51182, 51356, 50988, 63430, 57753, 51175, 50935, 51175, 50442, 50798, 52572, 50818, 76009, 51516, 50839, 50988, 54815, 74363, 50446, 58863, 50884, 51099, 50895, 51516, 50961, 52769, 51173, 51434, 50809, 51979, 76059, 50936, 51555, 50894, 50448, 50847, 55149, 59938, 50895, 51099, 50962, 51516, 51010, 51434, 51167, 52257, 51454, 53625, 78942, 51388, 52075, 50882, 50452, 50988, 50940, 50454, 56150, 50895, 51099, 50887, 52769, 51192, 53625, 67206, 50924 ]
[ 0, 250, 15855, 19834, 15229, 11, 272, 3694, 6, 7630, 14805, 10, 25306, 5466, 19, 63, 9066, 8, 5386, 23225, 4, 20, 6755, 12547, 6, 326, 5638, 18026, 6, 2342, 4467, 6, 20535, 2810, 6, 8, 17465, 102, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 2351, 10, 1472, 9, 814, 8, 15073, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 8, 1375, 23, 10, 7212, 20889, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 83, 6, 211, 6, 83, 6, 211, 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 ]	[ 51034, 50629, 50665, 50330, 51203, 50415, 61462, 54270, 60165, 51199, 50425, 68919, 74989, 55839, 51484, 50437, 76215, 51253, 50438, 59454, 51806, 50449, 66346, 51480, 51018, 50425, 50665, 50330, 51411, 60165, 68428, 51886, 56615, 50437, 68919, 51363, 51565, 52056, 55839, 51775, 50448, 76215, 51312, 50449, 51686, 55765, 59454, 51709, 51018, 50425, 66346, 51412, 51596, 53697, 50436, 51384, 55856, 50437, 53339, 50942, 51886, 55574, 60165, 51480, 50438, 50665, 50330, 51203, 50443, 52196, 59433, 51946, 51115, 51565, 52056, 55839, 51480, 51034, 68919, 51233, 50425, 59454, 58187, 76215, 51203, 51686, 55574, 50432, 52196, 59948, 66346, 51412, 53339, 50905, 51596, 52025, 50443, 51836, 64827, 52601, 51145, 51034, 50665, 50330, 51412, 51886, 52056, 60165, 78804, 68919, 51203, 51565, 52056, 55839, 51380, 50437, 76215, 51253, 51686, 52996, 50438, 54012, 50942, 59454, 51380, 50443, 57570, 50878, 50449, 66346, 51775, 53883, 51267, 51596, 52011, 51018, 50425, 50665, 50330, 74989, 57570, 51221, 60165, 51411, 50427, 51886, 61211, 50437, 68919, 51363, 54012, 51255, 50438, 51565, 52378, 55839, 51775, 50449, 76215, 51253, 52601, 51145, 51686, 52056, 59454, 51380, 51018, 50424, 51596, 53674, 50425, 66346, 51337, 50437, 50665, 50330, 51534, 50438, 54012, 50854, 60165, 51775, 50439, 51886, 52996, 50443, 57570, 50942, 50449, 68919, 51363, 55839, 51484, 51034, 53883, 51377, 51565, 52056, 50425, 76215, 51233, 57570, 51109, 51686, 64396, 59454, 51097, 50437, 66346, 51480, 54012, 51400, 51596, 53697, 50449, 50665, 50330, 51480, 51886, 52618, 51034, 52601, 51025, 60165, 52056, 50425, 68919, 51411, 54012, 66038, 51565, 52048, 55839, 51484, 50437, 76215, 51312, 51686, 54344, 59454, 74048, 57570, 51025, 50449, 51596, 52397, 51034, 66346, 51480, 53883, 77399, 50665, 50330, 51480, 52601, 51363, 51886, 51466, 60165, 51775, 50437, 68919, 51412, 51836, 51480, 55839, 51775, 50438, 51565, 63532, 50449, 76215, 51380, 53339, 51477, 51686, 52996, 51034, 59454, 51253, 50425, 66346, 51534, 51596, 53838, 50437, 50665, 50330, 51412, 53339, 50925, 51866, 50874, 51886, 52056, 50438, 60165, 51199, 50443, 52196, 50874, 52384, 50959, 50449, 68919, 51411, 51946, 51391, 52058, 51381, 51565, 52996, 51034, 55839, 51480, 50425, 76215, 51312, 51686, 51738, 50426, 59454, 51480, 50430, 52384, 51006, 50431, 52196, 68522, 53339, 50866, 51866, 51058, 51596, 52397, 50437, 66346, 51412, 50442, 51836, 79174, 52148, 51051, 50448, 52601, 51183, 53084, 51627, 51886, 52618, 50449, 60165, 51097, 51034, 50665, 50330, 51203, 50425, 68919, 51411, 51565, 52048, 55839, 50932, 50437, 76215, 51253, 54012, 50878, 51866, 51008, 51686, 53697, 59454, 51380, 50443, 57570, 50810, 52148, 75553, 51596, 51466, 50449, 66346, 51480, 53883, 51267, 53084, 51775, 51018, 50425, 50665, 50330, 51411, 57570, 51363, 52148, 51199, 51886, 53957, 50426, 60165, 51775, 50437, 68919, 51363, 54012, 51363, 51866, 51480, 51565, 52378, 55839, 51380, 50448, 76215, 51312, 51686, 51738, 50449, 52601, 51535, 52698, 52598, 59454, 51253, 51018, 50424, 51596, 53697, 50425, 66346, 51412, 50437, 51866, 50933, 51886, 55574, 50438, 50665, 50330, 51203, 54012, 50878, 60165, 51253, 50443, 52148, 63280, 57570, 64827, 53084, 51199, 51034, 68919, 51233, 53883, 51025, 51565, 52996, 55839, 51775, 50426, 76215, 51203, 57570, 51203, 52148, 51775, 51686, 51738, 59454, 51199, 50437, 66346, 51412, 50438, 54012, 51025, 51866, 51380, 50439, 51596, 55574, 50449, 51886, 53838, 51034, 50665, 50330, 51412, 52601, 51312, 52698, 51484, 60165, 51775, 50426, 68919, 51203, 54012, 51411, 51866, 51172, 55839, 51480, 50427, 51565, 56615, 50437, 76215, 51253, 57570, 51480, 52148, 51480, 50438, 51686, 51738, 59454, 51380, 50449, 66346, 51775, 53084, 51411, 51596, 52397, 51034, 53883, 51025, 50425, 50665, 50330, 51411, 52698, 51199, 51886, 75674, 52601, 51255, 60165, 51645, 50437, 68919, 51363, 51836, 51411, 52384, 51172, 51565, 53957, 55839, 51534, 50448, 52058, 51749, 51686, 53697, 50449, 76215, 51253, 53339, 51448, 59454, 51380, 51018, 50424, 51596, 52618, 50425, 66346, 51337, 50436, 51866, 80249, 50665, 50330, 51534, 53339, 50812, 51886, 55197, 60165, 51775, 50442, 52384, 51051, 50443, 52196, 64913, 68919, 51363, 52058, 51477, 55839, 51480, 51034, 51946, 51419, 51565, 61211, 50424, 51686, 52378, 50425, 76215, 51233, 59454, 51380, 50431, 52196, 50833, 52384, 56149, 51596, 52025, 50437, 66346, 51480, 53339, 50897, 51866, 51008, 50443, 51836, 50874, 52148, 75553, 51886, 52025, 50449, 50665, 50330, 51480, 52601, 51446, 53084, 51627, 60165, 51380, 51018, 50425, 68919, 51411, 51565, 52048, 55839, 51253, 50436, 51686, 51466, 50437, 76215, 51312, 53883, 50833, 53084, 50897, 59454, 51253, 50443, 57570, 50833, 52148, 50959, 50449, 54012, 51295, 51866, 51542, 51596, 61887, 51034, 66346, 51480, 50425, 51886, 51806, 60165, 51709, 50426, 50665, 50330, 51480, 50431, 57570, 50810, 52148, 74029, 68919, 51412, 53883, 50878, 53084, 50959, 55839, 51412, 50438, 51565, 52048, 50443, 56065, 50897, 52194, 51008, 50448, 51686, 52011, 50449, 76215, 51380, 52488, 51397, 59454, 51253, 51034, 61249, 51472, 50425, 66346, 51534, 50426, 51596, 56123, 50437, 50665, 50330, 51412, 56065, 51377, 52194, 59290, 51886, 56615, 60165, 51775, 50449, 68919, 51411, 53883, 50807, 53084, 51363, 51034, 51565, 52048, 55839, 51480, 50425, 76215, 51312, 52148, 51411, 51686, 52048, 50426, 57570, 51238, 59454, 51480, 50437, 66346, 51412, 54012, 51411, 51866, 51480, 51596, 55765, 50449, 52601, 51377, 52698, 51484, 51886, 61211, 51034, 50665, 50330, 51203, 60165, 51199, 50425, 68919, 51411, 51866, 51775, 51565, 51738, 55839, 51312, 50426, 54012, 51203, 50436, 51686, 51466, 50437, 76215, 51253, 57570, 51203, 52148, 72652, 59454, 51380, 50449, 66346, 51480, 53084, 51480, 51596, 54344, 51034, 53883, 51377, 50425, 50665, 50330, 51411, 52698, 51411, 51886, 52048, 50426, 52601, 51255, 60165, 51775, 50437, 68919, 51363, 52384, 51253, 51565, 53957, 50438, 51836, 51025, 55839, 51480, 50448, 76215, 51312, 51686, 52011, 50449, 52058, 51677, 51034, 59454, 51380, 50415, 53339, 51518, 50425, 66346, 51412, 50426, 51596, 54344, 50437, 51886, 52048, 50438, 50665, 50330, 51203, 60165, 51484, 50449, 51565, 51738, 51034, 68919, 51233, 55839, 51775, 50426, 76215, 51203, 51686, 51333, 59454, 51199, 50437, 66346, 51412, 50438, 51596, 55584, 51034, 52991, 50991, 52991, 51162, 60165, 58326, 51776, 51025, 51776, 51112, 55839, 51480, 50438, 52002, 51345, 52002, 51267, 59454, 51380, 51034, 51648, 51255, 51648, 51162, 50425, 60165, 78804, 52991, 51255, 52991, 69205, 51776, 51400, 51776, 51345, 55839, 51775, 51034, 52002, 51346, 52002, 51056, 59454, 78804, 51648, 51400, 51648, 51162, 50437, 60165, 51709, 50438, 52991, 51162, 52991, 51159, 51034, 51776, 51377, 51776, 51377, 55839, 78804, 52002, 51267, 52002, 51056, 59454, 51253, 50438, 51648, 51101, 51648, 51255, 50449, 56065, 50810, 53572, 50810, 52002, 50854, 51113, 50921, 51034, 52991, 56624, 58047, 50810, 53192, 50810, 52366, 50836, 54348, 50867, 51165, 59723, 51357, 51033, 50421, 61249, 50833, 55495, 50800, 54409, 61359, 53170, 58067, 53459, 51159, 51093, 52250, 57088, 50995, 51140, 78042, 50665, 50328, 51145, 51836, 51267, 57849, 51400, 52194, 51312, 52306, 51162, 54822, 67251, 51183, 51553, 51183 ]
[ 0, 250, 20902, 3152, 8, 5175, 24904, 6, 42, 2214, 22750, 1626, 11098, 8, 1007, 4, 20, 13602, 6757, 1239, 5, 483, 6, 2800, 30, 2382, 8, 3459, 29589, 6, 9590, 6, 8, 21072, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 18461, 163, 5683, 4, 20, 33215, 16739, 9, 163, 119, 6, 230, 401, 6, 8, 272, 3639, 7, 63, 14899, 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, 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, 51133, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 51189, 51209, 51189, 51011, 50914, 52796, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 72910, 50849, 51209, 50849, 50945, 50914, 52796, 53834, 51508, 53113, 51020, 50849, 51209, 50849, 52796, 52808, 52422, 51089, 50849, 51366, 50849, 51011, 50914, 53281, 50849, 71222, 51508, 52686, 51061, 51189, 51023, 51189, 51256, 51189, 51229, 51189, 52592, 51189, 52898, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51089, 50914, 51020, 50914, 51366, 50914, 51209, 50914, 51415, 50914, 53281, 50914, 52796, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 50914, 51209, 50914, 51011, 50914, 52796, 56001, 63421, 51180, 53153, 51089, 50849, 51366, 50849, 50953, 50914, 53281, 50849, 71222, 51508, 52935, 51083, 50849, 51322, 50849, 52451, 55163, 50821, 67063, 50849, 51322, 50849, 50945, 50914, 52451, 53834, 51508, 53113, 51118, 50849, 51451, 50849, 52892, 52808, 52422, 51118, 50849, 51451, 50849, 51011, 50914, 52892, 50849, 71222, 51508, 52686, 51118, 51189, 51451, 51189, 52892, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51415, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 51189, 51209, 51189, 51011, 50914, 52796, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 72910, 50849, 51209, 50849, 50945, 50914, 52796, 53834, 51508, 53113, 51020, 50849, 51209, 50849, 52796, 52808, 52422, 51089, 50849, 51366, 50849, 51011, 50914, 53281, 50849, 71222, 51508, 52686, 51061, 51189, 51023, 51189, 51256, 51189, 51229, 51189, 52592, 51189, 52898, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51089, 50914, 51020, 50914, 51366, 50914, 51209, 50914, 51415, 50914, 53281, 50914, 52796, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 51508, 53113, 51118, 50849, 51451, 50849, 52892, 52808, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 50914, 51209, 50914, 51011, 50914, 52796, 56001, 63421, 51180, 53153, 51089, 50849, 51366, 50849, 50953, 50914, 53281, 50849, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 67063, 50849, 51322, 50849, 50945, 50914, 52451, 53834, 51508, 53113, 51118, 50914, 51451, 50914, 52892, 55859, 52422, 51011, 50914, 71222, 51508, 52686, 51118, 51591, 51451, 51591, 52892, 51591, 50791, 52877, 51186, 56001, 63421, 51180, 53153, 51415, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 50914, 52592, 55234, 63421, 50416, 52796, 58671, 52898, 68162, 53125, 54657, 54096, 53352, 63421, 50422, 53648, 55946, 54867, 54345, 68057, 55517, 53425, 51023, 50849, 51229, 50849, 51186, 50914, 52898, 50849, 52060, 55104, 51326, 52686, 51092, 50849, 51334, 50849, 54096, 53834, 51508, 52877, 51092, 51189, 51334, 51189, 51011, 50914, 54096, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51023, 50849, 51229, 50849, 52898, 55163, 50821, 70973, 50849, 51092, 50849, 51229, 50849, 51334, 50849, 50945, 50914, 52898, 50849, 54096, 53834, 51508, 53113, 51023, 50914, 51092, 50914, 51229, 50914, 51334, 50914, 52898, 50914, 54096, 55859, 52422, 51011, 50914, 71222, 51508, 52686, 51193, 51189, 51185, 51189, 51408, 51189, 51390, 51189, 53125, 51189, 53648, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51023, 50849, 51092, 50849, 51229, 50849, 51334, 50849, 51415, 50914, 52898, 50849, 54096, 50849, 71222, 51508, 52935, 51118, 50849, 51451, 50849, 52892, 55163, 50821, 70973, 50849, 51229, 50849, 51133, 50914, 52898, 53834, 51508, 53113, 51092, 50849, 51334, 50849, 54096, 52808, 52422, 51092, 50849, 51334, 50849, 51186, 50914, 54096, 50849, 71222, 51508, 52686, 51023, 50849, 51229, 50849, 52898, 52808, 52877, 51023, 50849, 51229, 50849, 51011, 50914, 52898, 53834, 51508, 53247, 51023, 50849, 51229, 50849, 52898, 52808, 53153, 51020, 50849, 51209, 50849, 50953, 50914, 52796, 50849, 71222, 51508, 52935, 51023, 50849, 51229, 50849, 52898, 55163, 50821, 67063, 77447, 50849, 51322, 50849, 51209, 50849, 50945, 50914, 52451, 50849, 52796, 53834, 51508, 53113, 51083, 50914, 51061, 50914, 51322, 50914, 51256, 50914, 52451, 50914, 52592, 55859, 52422, 51011, 50914, 71222, 51508, 52686, 51118, 51189, 51061, 51189, 51451, 51189, 51256, 51189, 52892, 51189, 52592, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51415, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 51189, 51209, 51189, 51011, 50914, 52796, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 72910, 50849, 51209, 50849, 50945, 50914, 52796, 53834, 51508, 53113, 51020, 50849, 51209, 50849, 52796, 52808, 52422, 51089, 50849, 51366, 50849, 51011, 50914, 53281, 50849, 71222, 51508, 52686, 51061, 51189, 51023, 51189, 51256, 51189, 51229, 51189, 52592, 51189, 52898, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51089, 77447, 50849, 51366, 50849, 51209, 50849, 51415, 50914, 53281, 50849, 52796, 50849, 71222, 51508, 52935, 51118, 50849, 51451, 50849, 52892, 55163, 50821, 79361, 50849, 51366, 50849, 51133, 50914, 53281, 53834, 51508, 53113, 51020, 50914, 51209, 50914, 52796, 55859, 52422, 51186, 50914, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 50849, 51209, 50849, 51011, 50914, 52796, 53834, 51508, 53247, 51020, 50849, 51209, 50849, 52796, 52808, 53153, 51118, 50849, 51451, 50849, 50953, 50914, 52892, 50849, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 67063, 50849, 51322, 50849, 50945, 50914, 52451, 53834, 51508, 53113, 51118, 50849, 51451, 50849, 52892, 52808, 52422, 51118, 50849, 51451, 50849, 51011, 50914, 52892, 50849, 71222, 51508, 52686, 51118, 50914, 51451, 50914, 52892, 55859, 52877, 51186, 56001, 51508, 53247, 51020, 50849, 51209, 50849, 52796, 52808, 53153, 51020, 50914, 51209, 50914, 51415, 50914, 52796, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 50914, 71222, 51041, 50821, 63311, 59630, 51456, 64941, 51456, 54658, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 54921, 50849, 52592, 50974, 52796, 52808, 65209, 53939, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 51186, 50914, 54921, 50849, 52592, 50974, 52796, 50849, 71222, 51508, 52686, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 54921, 50849, 52592, 50974, 52796, 52808, 52877, 51595, 50914, 51020, 50914, 51912, 50914, 51209, 50914, 51011, 50914, 54921, 50914, 52592, 51097, 52796, 56001, 63421, 51180, 53153, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 50953, 50914, 54921, 50849, 52592, 50974, 52796, 50849, 71222, 51508 ]
[ 0, 250, 33928, 3495, 1619, 2214, 4246, 41, 21979, 8669, 816, 5, 1049, 33301, 6, 7513, 30, 21072, 6, 21979, 9590, 6, 8, 1076, 560, 31365, 25999, 4, 20, 2125, 16, 11, 83, 3694, 8, 11498, 10, 2635, 20889, 9, 7004, 13410, 228, 2289, 11, 204, 73, 306, 86, 4, 20, 33215, 16739, 9, 230, 6, 3676, 6, 1918, 6, 8, 272, 16, 5705, 6636, 1328, 5, 2214, 6, 2351, 10, 2950, 8, 17627, 17274, 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 ]	[ 57448, 50415, 50635, 50796, 50461, 50872, 51178, 66474, 51178, 50947, 51178, 50415, 51032, 51423, 51438, 51753, 50422, 61466, 51438, 51365, 51032, 51210, 50947, 67724, 50970, 52921, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 51965, 50434, 51257, 50981, 50446, 77453, 51438, 51142, 51032, 51142, 50947, 73311, 50970, 54004, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 51277, 50458, 51438, 51051, 51032, 51210, 50947, 67419, 64207, 50461, 50868, 51178, 69146, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 52063, 50422, 61302, 51292, 51142, 51032, 51142, 50947, 67724, 50998, 52654, 50909, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 51637, 50434, 51149, 50932, 50446, 77558, 51292, 50933, 51032, 51051, 50947, 76173, 50998, 53567, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 51753, 50458, 51292, 51365, 51032, 51051, 50947, 62908, 50998, 61145, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 52063, 50422, 59081, 51067, 50933, 79504, 50970, 71662, 50960, 52580, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 51965, 50434, 51007, 51097, 50446, 61466, 51067, 51210, 50947, 51008, 50970, 76791, 50960, 52843, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 51481, 50458, 51067, 51142, 79504, 50970, 62908, 62326, 50461, 50868, 51178, 69146, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51277, 50422, 64957, 51563, 51365, 51032, 51142, 50929, 66401, 50998, 52921, 50909, 51178, 50998, 51417, 50929, 51417, 51032, 51749, 50427, 51563, 51965, 50434, 74452, 50446, 69197, 51563, 51142, 51032, 51142, 50929, 76791, 50998, 54004, 61983, 50998, 51178, 50929, 51178, 51032, 51423, 50451, 51563, 51277, 50458, 51563, 51142, 51032, 51142, 50929, 71434, 50998, 61145, 50872, 51178, 66474, 51178, 50947, 51178, 51032, 51423, 50415, 51438, 51277, 50422, 67071, 51438, 51142, 51032, 51142, 50947, 67724, 50970, 52654, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 52136, 50434, 51257, 50995, 50446, 69197, 51438, 51142, 51032, 51051, 50947, 64043, 50970, 52843, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 52063, 50458, 51438, 51210, 51032, 50933, 50947, 65264, 64207, 50461, 50868, 51178, 69146, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 51481, 50422, 61466, 51292, 51142, 51032, 50933, 50947, 71662, 50998, 52580, 50909, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 51965, 50434, 74452, 50446, 77558, 51292, 51210, 51032, 50933, 50947, 66092, 50998, 52989, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 51884, 50458, 51292, 50933, 51032, 51142, 50947, 62908, 59664, 50461, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 51481, 50422, 61375, 51067, 50933, 79504, 50970, 60988, 50960, 52921, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 52136, 50434, 51007, 50932, 50446, 66214, 51067, 51210, 50947, 50959, 50970, 73311, 50960, 52989, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 52063, 50458, 51067, 51365, 50947, 50959, 50970, 71434, 62326, 50461, 50868, 51178, 69146, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51277, 50422, 59629, 51563, 51365, 51032, 51142, 50929, 60988, 50998, 53450, 50909, 51178, 50998, 51417, 50929, 51417, 51032, 51749, 50427, 51563, 51637, 50434, 51149, 50981, 50446, 66664, 51563, 51210, 51032, 51142, 50929, 73311, 50998, 54385, 61983, 50998, 51178, 50929, 51178, 51032, 51423, 50451, 51563, 51481, 50458, 51563, 50933, 51032, 51051, 50929, 71434, 50998, 61145, 50872, 51178, 66474, 51178, 50947, 51178, 51032, 51423, 50415, 51438, 51884, 50422, 61466, 51438, 50933, 51032, 50933, 50947, 66401, 50970, 53450, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 52136, 50434, 51831, 50830, 51257, 56692, 51667, 51177, 50446, 51643, 61056, 50933, 51438, 51142, 51032, 51365, 50947, 76791, 50970, 54385, 51667, 51167, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 51753, 50458, 51438, 51365, 51032, 50933, 50947, 71434, 64667, 50461, 50868, 51178, 65755, 51177, 50998, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 51277, 50422, 61302, 51292, 51051, 51032, 51142, 50947, 67724, 50998, 52654, 51667, 59192, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 51965, 50434, 51643, 51661, 74452, 50446, 77453, 51292, 51210, 51032, 51365, 50947, 64043, 50998, 52989, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 52063, 50458, 51292, 51142, 51032, 51142, 50947, 62908, 50998, 61145, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 52063, 50422, 59081, 51067, 51051, 50947, 50959, 50970, 66401, 50960, 52580, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 52519, 50434, 51831, 67479, 56692, 51831, 64201, 51831, 58720, 50878, 51067, 51365, 50947, 50955, 50970, 73311, 50960, 54385, 51831, 51215, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 51753, 50458, 51652, 50940, 51067, 51142, 79504, 50970, 65264, 50960, 62800, 50868, 51178, 75799, 50889, 50998, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51753, 50422, 64957, 51563, 51210, 51032, 51051, 50929, 67724, 50998, 52580, 51652, 61633, 51178, 50998, 51417, 50929, 51417, 51032, 51749, 50427, 51563, 51637, 50434, 51652, 51661, 51149, 50995, 50446, 77453, 51563, 51051, 51032, 51365, 50929, 73311, 50998, 52843, 61983, 50998, 51178, 50929, 51178, 51032, 51423, 50451, 51563, 51481, 50458, 51563, 51210, 51032, 50933, 50929, 67419, 50998, 65922, 50872, 51178, 66474, 51178, 50947, 51178, 51032, 51423, 50415, 51438, 51277, 50422, 61302, 51438, 51365, 51032, 51210, 50947, 66401, 50970, 52654, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 52136, 50434, 51257, 56656, 51667, 51235, 50446, 51643, 64626, 51008, 51438, 51142, 51032, 51142, 50947, 66092, 50970, 54385, 51667, 51603, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 52063, 50458, 51438, 51210, 51032, 50933, 50947, 71434, 64667, 50461, 50868, 51178, 65755, 51460, 50998, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 51884, 50422, 61302, 51292, 51142, 51032, 50933, 50947, 71662, 50998, 52921, 51667, 59192, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 52136, 50434, 51643, 51196, 51149, 50995, 50446, 77453, 51292, 51210, 51032, 51051, 50947, 73311, 50998, 53140, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 51753, 50458, 51292, 51051, 51032, 50933, 50947, 71434, 50998, 65922, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 51277, 50422, 59081, 51067, 51051, 50947, 50959, 50970, 67724, 50960, 53450, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 51965, 50434, 51831, 72580, 57937, 51831, 70089, 51831, 60354, 50933, 51067, 51051, 50947, 51008, 50970, 64043, 50960, 54385, 51831, 51110, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 51884, 50458, 51652, 50830, 51067, 51142, 79504, 50970, 62908, 62212, 50461, 50868, 51178, 75799, 51055, 50998, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51884, 50422, 65078, 51563, 51142, 51032, 51142, 50929, 67724, 50998 ]

[ 0, 250, 19448, 8, 1372, 15855, 2125, 19, 3495, 16882, 6, 4246, 41, 21979, 8669, 816, 11, 5, 762, 9, 381, 538, 4, 20, 2214, 16, 278, 11, 41, 18186, 112, 73, 398, 86, 6543, 8, 3136, 23, 41, 12447, 1001, 20889, 4, 13231, 42, 765, 15229, 6, 5, 40286, 3676, 6, 163, 6, 3676, 6, 8, 1918, 401, 32, 702, 6, 2351, 10, 5679, 26709, 8, 11653, 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 ]

[ 54458, 50998, 55126, 50631, 80254, 50947, 55035, 75924, 63880, 51169, 54100, 63896, 60419, 50947, 55306, 51846, 50892, 72809, 51076, 55945, 78986, 60419, 51032, 55125, 51574, 50892, 63880, 51076, 54771, 52012, 50995, 66192, 77458, 51057, 51292, 55689, 60419, 51169, 50845, 51292, 53172, 51078, 50901, 77458, 51549, 54342, 51169, 50901, 51076, 50974, 51067, 50974, 51057, 61498, 51032, 58879, 51574, 51097, 51169, 50905, 51076, 54335, 51292, 54777, 50998, 51097, 51057, 51438, 55689, 51169, 50901, 51076, 51003, 51438, 58299, 50960, 55544, 63960, 51169, 50995, 51067, 50995, 51057, 51311, 55126, 59655, 50998, 51003, 51292, 58299, 52012, 55544, 51725, 50981, 50986, 61793, 50838, 51057, 50998, 55126, 51444, 50981, 62151, 50970, 53172, 51076, 54259, 62302, 50986, 62874, 50892, 51057, 51311, 50905, 51169, 55126, 50631, 52012, 50981, 63896, 50947, 55035, 72429, 67669, 66309, 51032, 50805, 51292, 50805, 53729, 50805, 52323, 50631, 50998, 58187, 50631, 72312, 50947, 56389, 51311, 50995, 70642, 51169, 50995, 51057, 59655, 60419, 50947, 57437, 51846, 50905, 62151, 51076, 53172, 72878, 68533, 51032, 53308, 51574, 50892, 63880, 69239, 51057, 52012, 51097, 50986, 62874, 55041, 51292, 53890, 63386, 71886, 51292, 54100, 72700, 50947, 50892, 51549, 50892, 51057, 51169, 50901, 69239, 51067, 55041, 61498, 51032, 56307, 51574, 50995, 51169, 50905, 51076, 54342, 51292, 50873, 51057, 50998, 73318, 51438, 53890, 51169, 50873, 51076, 51003, 51438, 60307, 65813, 51057, 60918, 51169, 50995, 51067, 60726, 51311, 54335, 59655, 50998, 51003, 51292, 60307, 52012, 50838, 51057, 51725, 50915, 50986, 61793, 54177, 50998, 56307, 51444, 50981, 62151, 50970, 53387, 51076, 50849, 51057, 62302, 66192, 50947, 55126, 75924, 51169, 53770, 50631, 52012, 51097, 59655, 50947, 53387, 56422, 61337, 57304, 60502, 70858, 53729, 50795, 52076, 50426, 50631, 51207, 57937, 50631, 51725, 51097, 50986, 51183, 50998, 51183, 51057, 51444, 54644, 51574, 50845, 65868, 50998, 55382, 51504, 54100, 51207, 50845, 51311, 50915, 64226, 51057, 52028, 55041, 51207, 50845, 75924, 50960, 53770, 51131, 54100, 51311, 50845, 63557, 63434, 51057, 59655, 72700, 50947, 54644, 63880, 50970, 50943, 51076, 57908, 51207, 54342, 59655, 60419, 67672, 51057, 51207, 50845, 51067, 55689, 76338, 50998, 51003, 51292, 53172, 50947, 53052, 51317, 50905, 67519, 76702, 51057, 51317, 50892, 50998, 62874, 55041, 51317, 50892, 68242, 51064, 53770, 51317, 50845, 66286, 50947, 54342, 63880, 63960, 58993, 71937, 51057, 51317, 50892, 65738, 51292, 57437, 74175, 69160, 51438, 60307, 51136, 50905, 78465, 65742, 51057, 51136, 50845, 72700, 50947, 55126, 51136, 50905, 78465, 51076, 53172, 51136, 50892, 51078, 62874, 54342, 51574, 51148, 67519, 51169, 50905, 51057, 50998, 55041, 50998, 53770, 50998, 54100, 59655, 66906, 51057, 51311, 50901, 72809, 51169, 55126, 59655, 60419, 50947, 55035, 51846, 50905, 72809, 51076, 54777, 78986, 66286, 60265, 51057, 51574, 50905, 63557, 51076, 58879, 52012, 50995, 80254, 50947, 56307, 51292, 53308, 68533, 51169, 50905, 51292, 50905, 51057, 51078, 50873, 50947, 50892, 51549, 55041, 51169, 50845, 69239, 51067, 53770, 66906, 51032, 54342, 51574, 51097, 51169, 50905, 51076, 50905, 51057, 51292, 55099, 50998, 60324, 51438, 54777, 51169, 50901, 51076, 50915, 51438, 50915, 51057, 50960, 55041, 63960, 51169, 50995, 51067, 58187, 51311, 54100, 63896, 69164, 51292, 50915, 51057, 52012, 54177, 51725, 50981, 80254, 50947, 56307, 50998, 54342, 51444, 50915, 63880, 50970, 50892, 51057, 51076, 55689, 62302, 59655, 50947, 53172, 75924, 51169, 54100, 50631, 52012, 50995, 59655, 61498, 52552, 51788, 55099, 50631, 67519, 77669, 52012, 50892, 51317, 50943, 50947, 60413, 53092, 55035, 53805, 50845, 74328, 50947, 57173, 51444, 50845, 51057, 51574, 50901, 51311, 50981, 51169, 60115, 52028, 55035, 51846, 53387, 51574, 50905, 51057, 51131, 51003, 51317, 50974, 50947, 58879, 51316, 53172, 51444, 51097, 59638, 51078, 53052, 70443, 51057, 62302, 51317, 50974, 50947, 58879, 50998, 54335, 62302, 51311, 51003, 51169, 51003, 51057, 51504, 50845, 51169, 54644, 51311, 50901, 50960, 56307, 52028, 62874, 54259, 51317, 50901, 74893, 51057, 51846, 50892, 51076, 57437, 64629, 50998, 56307, 78986, 51316, 51736, 51317, 50845, 68242, 51057, 51311, 50914, 70699, 51169, 50914, 51067, 52864, 51292, 53172, 51317, 51003, 50998, 51003, 50947, 51003, 51316, 54342, 51292, 50873, 52323, 50631, 51574, 51662, 50998, 50932, 51169, 50932, 51076, 54869, 50998, 56656, 70700, 77669, 52012, 50905, 51317, 50943, 50947, 60413, 53092, 53172, 53805, 50901, 51317, 51003, 50947, 60307, 51444, 50901, 51057, 51574, 50901, 51311, 50995, 51169, 60726, 52028, 53172, 51846, 53387, 51574, 50892, 51057, 61447, 51317, 61793, 54177, 51316, 55035, 51444, 50995, 59638, 51078, 53052, 70443, 51057, 62302, 51317, 50905, 50947, 55126, 50998, 54335, 51574, 50981, 51311, 51003, 51169, 51003, 51057, 51504, 50845, 51169, 55126, 51311, 50901, 50960, 56307, 52028, 62874, 54259, 51317, 50873, 74893, 51057, 51846, 50905, 51076, 55689, 72809, 50998, 53770, 69468, 51316, 52605, 51317, 50845, 67519, 51057, 51311, 50889, 74313, 51169, 50889, 51067, 52864, 51292, 53890, 51317, 51003, 50998, 51003, 50947, 51003, 51316, 55544, 51292, 50845, 77669, 51574, 51244, 74963, 51169, 50974, 51076, 58879, 50998, 54335, 50998, 53387, 66286, 51057, 51311, 50845, 50998, 55041, 62151, 51169, 53466, 51846, 50974, 51786, 52605, 64629, 67519, 51057, 51317, 50981, 51292, 52864, 50998, 54335, 51131, 51097, 50947, 54259, 51317, 50892, 68242, 51057, 51311, 50845, 51067, 57519, 67669, 51169, 52483, 51846, 51097, 51076, 54342, 67519, 51057, 78986, 51316, 55385, 51317, 50901, 50998, 55035, 52028, 50995, 51316, 53387, 51078, 50974, 50947, 50974, 51057, 51444, 51097, 51076, 51003, 57761, 50805, 51078, 52483, 51067, 51736, 53092, 50974, 63557, 51078, 50974, 51057, 62302, 50998, 51097, 64308, 53172, 51574, 50892, 51316, 51736, 51131, 50901, 51317, 50901, 77458, 51057, 51574, 50974, 51078, 55126, 51846, 50892, 63880, 50998, 53770, 51574, 50892, 51316, 53308, 51846, 50845, 63880, 69239, 51057, 52012, 51097, 51317, 50981, 50947, 58326, 71048, 51316, 50889, 51788, 50889, 51057, 51311, 50905, 74963, 57761, 50901, 51169, 55035, 51846, 50905, 51786, 51736, 62151, 67519, 51057, 51317, 50981, 51292, 52864, 50998, 52688, 61447, 50947, 53308, 51317, 50905, 67519, 51057, 51311, 50845, 51067, 53561, 67669, 51169, 52483, 51846, 50981, 51076, 54100, 67519, 51057, 78986, 51316, 57519, 51317, 50901, 50998, 55035, 52028, 50995, 51316, 54777, 78465, 77458, 51057, 51444, 51097, 51076, 50915, 57761, 50805, 51078, 52483, 51067, 52605, 53092, 50892, 63557, 51078, 50974, 51057, 62302, 50998, 60726, 51131, 53172, 51574, 50892, 51316, 51736, 74975, 51317, 50873, 77458, 51057, 51574, 50974, 51078, 58879, 51846, 50845, 63880, 50998, 53770, 51574, 50892, 51316, 53308, 51846, 50845, 63880, 69239, 51057, 52012, 50905, 51317, 51318, 50947, 51318, 64308, 55035, 51846, 53387, 51207, 50845, 51317, 62874, 50892, 51057, 52028, 50892, 72490, 51064, 57933, 51317, 53890, 51246, 50892, 51078, 51003, 51064, 60307, 52028, 50905, 51057, 53092, 50974, 50960, 51115, 51078, 51115, 51076, 71215, 51311, 53890, 51246, 54100, 78986, 51136, 50905, 51076, 50905, 51057, 51846 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 23338, 33518, 1264, 6, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 1769, 20889, 9, 17072, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 2351, 10, 32076, 8, 19448, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50791, 71523, 50817, 51570, 56877, 50852, 52568, 51150, 56214, 57916, 51261, 55417, 56995, 51098, 51594, 50817, 55970, 51745, 51544, 56987, 51560, 55276, 51098, 51237, 52320, 56995, 51098, 51014, 56451, 51029, 51544, 56987, 51150, 59646, 51930, 51379, 50446, 51150, 55230, 51522, 61751, 56995, 51216, 51010, 54204, 51090, 51544, 56987, 51216, 51045, 68958, 51237, 52320, 56995, 51261, 50823, 56020, 51261, 57078, 51522, 54589, 52676, 51098, 77225, 51140, 64532, 50817, 55970, 51745, 52562, 51566, 51246, 51016, 51136, 51116, 50929, 51116, 51064, 51427, 50426, 79196, 52527, 51331, 56987, 51560, 50860, 52562, 51014, 52280, 51059, 57280, 50824, 71108, 67325, 51064, 61094, 51246, 52848, 51136, 50859, 52387, 55188, 56995, 51098, 51033, 56451, 50824, 51846, 51653, 80254, 51136, 50901, 51169, 51365, 52861, 51138, 50422, 52387, 53537, 65425, 51136, 50855, 51169, 51187, 56987, 51522, 50803, 50986, 50940, 51136, 51045, 51169, 50823, 53037, 51009, 50446, 51098, 50823, 51846, 55268, 51522, 51505, 79509, 51136, 50859, 51169, 52304, 56995, 51216, 50823, 54204, 50824, 53271, 51932, 51246, 51043, 50960, 51233, 50970, 51309, 50422, 51504, 52450, 51846, 50808, 50960, 50882, 72639, 51760, 55115, 56987, 51261, 51033, 51846, 50890, 50960, 50930, 50970, 60364, 52157, 79867, 53271, 50840, 52280, 52116, 51246, 79722, 50840, 50970, 50859, 51756, 66363, 56995, 51560, 50860, 52280, 50950, 50799, 52562, 51235, 55458, 58026, 51560, 50893, 51246, 50854, 55458, 53537, 51389, 51388, 51317, 50837, 51136, 50864, 50929, 52304, 56987, 51136, 50858, 50929, 50962, 55458, 51029, 57385, 51066, 52562, 51175, 50446, 51246, 52741, 51261, 51354, 78254, 60907, 51064, 52304, 56995, 51246, 50862, 55970, 51745, 52562, 51745, 65904, 50929, 52688, 51136, 50930, 71706, 51064, 50811, 52527, 51331, 57834, 51930, 78116, 51560, 51138, 52280, 51059, 57280, 51237, 79196, 50446, 51246, 54988, 51136, 50859, 50929, 72920, 50930, 52387, 51739, 56995, 51098, 50859, 52861, 51059, 56451, 51237, 51846, 50923, 50422, 50986, 53935, 50986, 50940, 51136, 51045, 51169, 50950, 52387, 51739, 56987, 51522, 51045, 50986, 50924, 51136, 51045, 51169, 50950, 53037, 52827, 50438, 51846, 63674, 51522, 51138, 51846, 54721, 51098, 50976, 50986, 50925, 51136, 50859, 51169, 52304, 56995, 51522, 50894, 54204, 50823, 53271, 50803, 51246, 50940, 50960, 51014, 50970, 51014, 50422, 52280, 57480, 52280, 57036, 52676, 51760, 52175, 52527, 51331, 57916, 51261, 61963, 51140, 50854, 59670, 51745, 51850, 52038, 52527, 55968, 56987, 52157, 51138, 53271, 50811, 51846, 50859, 50960, 50890, 50970, 50887, 51760, 51735, 50446, 51461, 50860, 53271, 50950, 51846, 50890, 50960, 50882, 50970, 50962, 52280, 53798, 51273, 51388, 51756, 53960, 56995, 52280, 50823, 55970, 51745, 52746, 51742, 51561, 51452, 51099, 51742, 51308, 51422, 52562, 51566, 51246, 51016, 51136, 51116, 50929, 51116, 51064, 51427, 53422, 50422, 57451, 79196, 52527, 55964, 79894, 51560, 50860, 52562, 51014, 52280, 51059, 51320, 52896, 74249, 71108, 67325, 51064, 51420, 56877, 51561, 50844, 51246, 52972, 50898, 52763, 51144, 50887, 51308, 50859, 51136, 50859, 52387, 77297, 51636, 50458, 51098, 51033, 51320, 50837, 56451, 50824, 52477, 51790, 51280, 51803, 51561, 51591, 51512, 51077, 51846, 51653, 80254, 51136, 50901, 51169, 51365, 52861, 51138, 53422, 50422, 52387, 51805, 52670, 65425, 51136, 50855, 51169, 60369, 79894, 51522, 50803, 50986, 50940, 51136, 51045, 51169, 50823, 53037, 51009, 63423, 53422, 50446, 51098, 50823, 63884, 51561, 50859, 51512, 50800, 51846, 53579, 50898, 52763, 51522, 51505, 79509, 51136, 50859, 51169, 71074, 51636, 50458, 51216, 50823, 51320, 50837, 54204, 50824, 53038, 51452, 51706, 51452, 51198, 51452, 51144, 51790, 53271, 51932, 51246, 51043, 50960, 51233, 50970, 51309, 53422, 50422, 51504, 51582, 52670, 51846, 50808, 50960, 50882, 72639, 51760, 51029, 50903, 79894, 51261, 51033, 51846, 50890, 50960, 50930, 50970, 55719, 50898, 52896, 52157, 56168, 56877, 52477, 50795, 53271, 50840, 52280, 63579, 52763, 51198, 50808, 51246, 79722, 50840, 50970, 50859, 51756, 51505, 50903, 51636, 50458, 51560, 50860, 52280, 54168, 50898, 50837, 79921, 51157, 52562, 51235, 55458, 51520, 51636, 50422, 51560, 50893, 51561, 50836, 51099, 50809, 51308, 50887, 51246, 50854, 55458, 51805, 52670, 51389, 51388, 51317, 50837, 51136, 50864, 50929, 71074, 79894, 51561, 50910, 79091, 51308, 50859, 51136, 50858, 50929, 50962, 55458, 51029, 51842, 57385, 51066, 52562, 51175, 53422, 50446, 51144, 50887, 51308, 50859, 51246, 50808, 52387, 63579, 52763, 51261, 51354, 51144, 51215, 51512, 51238, 51308, 51345, 78254, 60907, 51064, 50887, 52280, 77297, 51636, 50458, 51246, 53630, 50898, 50837, 55970, 51745, 52746, 51161, 51561, 51692, 51099, 51692, 51308, 51422, 52562, 51745, 65904, 60384, 53422, 50422, 57451, 51136, 50930, 71706, 51064, 50811, 52527, 50802, 51992, 75994, 51636, 50430, 51930, 78116, 51560, 51138, 52280, 50823, 51850, 51059, 51320, 52896, 51098, 51237, 51136, 61098, 56877, 51246, 53235, 50898, 52763, 51136, 50859, 50929, 72920, 50930, 52527, 55964, 51636, 50458, 51098, 69446, 50837, 56451, 51237, 52477, 52015, 51561, 51452, 51512, 51623, 51153, 51742, 51846, 50923, 52527, 50976, 53422, 50422, 65425, 57451, 50986, 50940, 51136, 51045, 51169, 50950, 52527, 77297, 79894, 51522, 51045, 50986, 50924, 51136, 51045, 51169, 50950, 63423, 51846, 50887, 52527, 50860, 53422, 50446, 51522, 51138, 51846, 50859, 51756, 73475, 52763, 51098, 50976, 50986, 50925, 51136, 50859, 51169, 71074, 51636, 50458, 51522, 53056, 50898, 50837, 54204, 50976, 53038, 50952, 51198, 50805, 51144, 50879, 51308, 50879, 53271, 50803, 51246, 50940, 50960, 51014, 50970, 57642, 54831, 52630, 52157, 50802, 53038, 50924, 51198, 50865, 51144, 50924, 51308, 50924, 50960, 51030, 50970, 51021, 51064, 57036, 52676, 51850, 50975, 52943, 74961, 52527, 50962, 51992, 55230, 51760, 50823, 51850, 54589, 56995, 52527, 51407, 51992, 51407, 56020, 51930, 51858, 52630, 51389, 55188, 56987, 50852, 52676, 51150, 58834, 60178, 51842, 50446, 52527, 51156, 52568, 51261, 50802, 52527, 53236, 51916, 58686, 50798, 51916, 56995, 52527, 51520, 51636, 55970, 51745, 52562, 51566, 51246, 51016, 51136, 51116, 50929, 51116, 51064, 51427, 52527, 50860, 53422, 50422, 57451, 79196, 52527, 55964, 79894, 51560, 50860, 52562, 51014, 52280, 51059, 51320, 52896, 74249, 71108, 67325, 51064, 51420, 56877, 51246, 52972, 50898, 52763, 51136, 50859, 52387, 77297, 51636, 50458, 51098, 51033, 51320, 50837, 56451, 50824, 51846, 51653, 80254, 51136, 50901, 51169, 51365, 52861, 51138, 53422, 50422, 52387, 51805, 52670, 65425, 51136, 50855, 51169, 60369, 79894, 51522, 50803, 50986, 50940, 51136, 51045, 51169, 50823, 53037, 51009, 63423, 53422, 50446, 51098, 50823, 51846, 53579, 50898, 52763, 51522, 51505, 79509, 51136, 50859, 51169, 71074, 51636, 50458, 51216, 50823, 51320, 50837, 54204, 50824, 53271, 51932, 51246, 51043, 50960, 51233, 50970, 51309, 53422, 50422, 51504, 51582, 52670, 51846, 50808, 50960, 50882, 72639, 51760, 51029, 50903, 79894, 51261, 51033, 51846, 50890, 50960, 50930, 50970, 55719, 50898, 52896, 52157, 56168, 56877, 53271, 50840, 52280, 63579, 52763, 51246, 79722, 50840, 50970, 50859, 51756, 51505, 50903, 51636, 50458, 51560, 50860 ]

[ 0, 713, 20425, 3152, 2214, 16, 30291, 19, 5175, 4785, 6, 2351, 10, 13363, 28191, 11739, 9, 23409, 4, 590, 10, 182, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 28252, 9, 15352, 30054, 814, 6, 3185, 30, 5, 2247, 4069, 9, 30587, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 24, 1575, 10, 33215, 16739, 9, 272, 119, 1176, 406, 6, 230, 10431, 406, 73, 717, 10431, 6, 274, 10431, 6, 8, 1918, 1176, 406, 6, 1271, 7, 63, 9066, 8, 2933, 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 ]

[ 67004, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 57139, 62466, 55502, 50423, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 57139, 62466, 55502, 51205, 52764, 61373, 57572, 57139, 62466, 51473, 52605, 57139, 62466, 55502, 50441, 57139, 62466, 55502, 50447, 66994, 52741, 55542, 51386, 53987, 66994, 52643, 57687, 51778, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52764, 58454, 53987, 80110, 51205, 52423, 52643, 68298, 51069, 52423, 53848, 70114, 50964, 52423, 50808, 50799, 80110, 51205, 52423, 79790, 60770, 68298, 51069, 52734, 80110, 51205, 52423, 58454, 53184, 51386, 51116, 51386, 51116, 50964, 69362, 52450, 52006, 52054, 53847, 50801, 52605, 80110, 51205, 53263, 68298, 51069, 52423, 52764, 58454, 52599, 80110, 51205, 52423, 55152, 60132, 51155, 51116, 51155, 51116, 50927, 70595, 76197, 53668, 52006, 52054, 52741, 70114, 50964, 52476, 50579, 53987, 80110, 51205, 52476, 50579, 52643, 68298, 51069, 61775, 58565, 70114, 62556, 50799, 80110, 51205, 52764, 61373, 60770, 56605, 51611, 52734, 66994, 53184, 55542, 51386, 52450, 57687, 51778, 53847, 66994, 52559, 57687, 51778, 53263, 56605, 51611, 52599, 66994, 54134, 55542, 51386, 52711, 57687, 51778, 53668, 66994, 52741, 55542, 51386, 53987, 57687, 51778, 52643, 56605, 51611, 53848, 68298, 50799, 57687, 51778, 54275, 56605, 51611, 52734, 66994, 53184, 55542, 51386, 52450, 57687, 51778, 53847, 66994, 52559, 57687, 51778, 53263, 56605, 51611, 52599, 66994, 54134, 55542, 51386, 52711, 57687, 51778, 53668, 66994, 52741, 55542, 51386, 53987, 57687, 51778, 52643, 56605, 51611, 53848, 68298, 50799, 80110, 51205, 52423, 79790, 60770, 56605, 56605, 51096, 52734, 68298, 51069, 52423, 58454, 53184, 70114, 50964, 52764, 52450, 80110, 51205, 52423, 58454, 53847, 68298, 51069, 52423, 52605, 80110, 51205, 53263, 56605, 56605, 51096, 52423, 52764, 58454, 52599, 68298, 51069, 52423, 55152, 60132, 70114, 50964, 52711, 80110, 51205, 52423, 52764, 53668, 68298, 51069, 52423, 58454, 52741, 70114, 50964, 52423, 79790, 61157, 80110, 51205, 52643, 56605, 56605, 51096, 52423, 55152, 58565, 68298, 66381, 50799, 80110, 51205, 52423, 79790, 60770, 56605, 56605, 51096, 52734, 68298, 51069, 52423, 58454, 53184, 70114, 50964, 52764, 52450, 80110, 51205, 52423, 58454, 53847, 68298, 51069, 52423, 52605, 80110, 51205, 53263, 56605, 56605, 51096, 52423, 52764, 58454, 52599, 68298, 51069, 52423, 55152, 60132, 70114, 50964, 52711, 80110, 51205, 52423, 52764, 53668, 68298, 51069, 52423, 58454, 52741, 70114, 50964, 52476, 50579, 53987, 80110, 51205, 52476, 50579, 52643, 56605, 56605, 51096, 61775, 58565, 68298, 66381, 50799, 80110, 51205, 52423, 61373, 60770, 56605, 56605, 51096, 52734, 68298, 51069, 53184, 70114, 50964, 52450, 80110, 51205, 53847, 68298, 51069, 52559, 80110, 51205, 53263, 56605, 56605, 51096, 52599, 68298, 51069, 54134, 70114, 50964, 52711, 80110, 51205, 53668, 68298, 51069, 52741, 70114, 50964, 53987, 80110, 51205, 52643, 56605, 56605, 51096, 53848 ]

[ 0, 4688, 5175, 19834, 15229, 11, 381, 3694, 6, 4246, 30587, 8669, 8, 38668, 2236, 6, 30853, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 20, 2125, 7630, 6568, 10, 11739, 9, 2933, 6, 20425, 6, 8, 1372, 6711, 29, 6, 10686, 13, 822, 4, 20, 33215, 16739, 83, 406, 6, 272, 6, 381, 6, 211, 6, 381, 3639, 7, 63, 15352, 30054, 2868, 1328, 5, 2214, 18, 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 ]

[ 57530, 51046, 60130, 51219, 60130, 51288, 60130, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 53566, 50641, 50438, 50627, 52888, 75085, 50627, 50444, 50641, 50450, 50627, 52689, 54098, 50641, 57530, 52888, 50824, 57628, 68086, 50418, 50627, 50420, 50641, 50426, 50627, 52689, 52030, 50641, 53565, 60920, 50627, 50442, 50627, 50444, 50641, 50450, 50627, 50456, 50641, 57530, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 52030, 50641, 52888, 53663, 50627, 50442, 50627, 50444, 50641, 52689, 54145, 50627, 50456, 50641, 52689, 50824, 57530, 50418, 50627, 50420, 50641, 52945, 54107, 50627, 50432, 50641, 53132, 53663, 50627, 50442, 50627, 50444, 50641, 52945, 54145, 50627, 50456, 50641, 52689, 50824, 57530, 51075, 56869, 50418, 50627, 50420, 50641, 52945, 51029, 51288, 56869, 50426, 50627, 51622, 64971, 50432, 50641, 50438, 50627, 50442, 50627, 50444, 50641, 50450, 50627, 50456, 50641, 57530, 51143, 56869, 50418, 50627, 50420, 50641, 51219, 56869, 50426, 50627, 54992, 62904, 56869, 50432, 50641, 50438, 50627, 54992, 50802, 51329, 56869, 50442, 50627, 50444, 50641, 54992, 63004, 56869, 50450, 50627, 51211, 56869, 54455, 50981, 53549, 58667, 50641, 54992, 51029, 57530, 51046, 51174, 51219, 51174, 51288, 51174, 51046, 50981, 50418, 50627, 50420, 50641, 50426, 50627, 51046, 51174, 51219, 51174, 51288, 51174, 52294, 51742, 52874, 51742, 50432, 50641, 50438, 50627, 51046, 50972, 51219, 50972, 51288, 50972, 50442, 50627, 50444, 50641, 51046, 50972, 51344, 50972, 51854, 55437, 50627, 51219, 50972, 51288, 57092, 50641, 51075, 50972, 51211, 50972, 52375, 51310, 57530, 51046, 51174, 51219, 51174, 51288, 51174, 50418, 50627, 50420, 50641, 50426, 50627, 51046, 51174, 51219, 51174, 51288, 51174, 53687, 57547, 50641, 50438, 50627, 51046, 51174, 51219, 51174, 51288, 51174, 52874, 50981, 50442, 50627, 50444, 50641, 50450, 50627, 51046, 76155, 50972, 51211, 50972, 52375, 54771, 50641, 51219, 50972, 51288, 50972, 52874, 50981, 57530, 51046, 50904, 51219, 50904, 51288, 68349, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 52294, 53770, 50627, 51046, 50904, 51219, 50904, 51288, 50904, 52294, 57250, 52294, 53513, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 52294, 53913, 50627, 51046, 50972, 51075, 50972, 51288, 50972, 51622, 50892, 50442, 50627, 50444, 50641, 51219, 50972, 51288, 50972, 51634, 54058, 50627, 51622, 54771, 50641, 52294, 50892, 51046, 51637, 51219, 51637, 51288, 51637, 57530, 52375, 59991, 51622, 79604, 50627, 50420, 50641, 52294, 53770, 50627, 51622, 57250, 51622, 53513, 50641, 51634, 60234, 51288, 52168, 50438, 50627, 51622, 58709, 51634, 50844, 50442, 50627, 50444, 50641, 51288, 54058, 50627, 51634, 58305, 51288, 54194, 50641, 51211, 50892, 57530, 51046, 50851, 51219, 50851, 51288, 50851, 51219, 50892, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 72359, 50851, 51219, 50851, 51288, 50851, 51622, 51145, 50432, 50641, 50438, 50627, 52888, 72359, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 58959, 50627, 52689, 50824, 51634, 58667, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 52888, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 58326, 50627, 52689, 50802, 51046, 50904, 51219, 50904, 51288, 54854, 50641, 53565, 51029, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 56692, 50627, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 51108, 51288, 72044, 50627, 50456, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904, 51046, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 54317, 50627, 54669, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 51145, 50432, 50641, 51046, 50904, 51219, 50904, 51288, 54728, 50627, 52888, 50802, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 52689, 72359, 51108, 51219, 51108, 51288, 58959, 50627, 51634, 58667, 50641, 52689, 72359, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904, 51622, 50892, 50418, 50627, 50420, 50641, 52945, 72359, 50904, 51219, 50904, 51288, 50904, 51634, 58326, 50627, 51046, 50904, 51219, 50904, 51288, 54854, 50641, 53132, 72359, 50904, 51219, 50904, 51288, 50904, 51211, 56692, 50627, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 52945, 72359, 51108, 51219, 51108, 51288, 51108, 51288, 72044, 50627, 50456, 50641, 52689, 72359, 50904, 51075, 50904, 51211, 50904, 57530, 51634, 50892, 51075, 51108, 50418, 50627, 50420, 50641, 52945, 51029, 51288, 51108, 51622, 51742, 50426, 50627, 51622, 52140, 50432, 50641, 50438, 50627, 50442, 50627, 50444, 50641, 50450, 50627, 51622, 58305, 51634, 54194, 50641, 51288, 50892, 57530, 51143, 51108, 51634, 51145, 50418, 50627, 50420, 50641, 51219, 60184, 50627, 51211, 64809, 50641, 50438, 50627, 54992, 50802, 51329, 51108, 51211, 50981, 50442, 50627, 50444, 50641, 54992, 63004, 58959, 50627, 51211, 51108, 51211, 58667, 50641, 54992, 51029, 57530, 51046, 50851, 51219, 50851, 51288, 50851, 51046, 50981, 50418, 50627, 50420, 50641, 50426, 50627, 51046, 50851, 51219, 50851, 51288, 50851, 52294, 50981, 52874, 57547, 50641, 50438, 50627, 51046, 50972, 51075, 50972, 51211, 50972, 52375, 50892, 50442, 50627, 50444, 50641, 51046, 50972, 51219, 50972, 51288, 50972, 52874, 57105, 50627, 51046, 50972, 51075, 50972, 51211, 57092, 50641, 51046, 50972, 51219, 50972, 51288, 50972, 51622, 50892, 57530, 51046, 76155, 50972, 52874, 50981, 50418, 50627, 50420, 50641, 51219, 55191, 50627, 51075, 50972, 52375, 54100, 50641, 51219, 50972, 52874, 56692, 50627, 51075, 50972, 50442, 50627, 50444, 50641, 51219, 50972, 52294, 54058, 50627, 51075, 50972, 51622, 58667, 50641, 51219, 50972, 57530, 51046, 50851, 51219, 50851, 51288, 50851, 51046, 50892, 50418, 50627, 50420, 50641, 50426, 50627, 54669, 72359, 50851, 51219, 50851, 51288, 50851, 51622, 51145, 50432, 50641, 50438, 50627, 52888, 72359, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 58959, 50627, 52689, 50824, 51634, 58667, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 52888, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 58326, 50627, 52689, 50802, 51046, 50904, 51219, 50904, 51288, 54854, 50641, 53565, 51029, 51046, 50904, 51219, 50904, 51288, 50904, 51634, 56692, 50627, 51046, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 51108, 51288, 72044, 50627, 50456, 50641, 51046, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904, 51046, 50892, 50418, 50627, 50420, 50641, 51046, 50904, 51219, 50904, 51288, 54317, 50627, 54669, 72359, 50904, 51219, 50904, 51288, 50904, 51622, 51145, 50432, 50641, 51046, 50904, 51219, 50904, 51288, 54728, 50627, 52888, 72359, 50904, 51075, 50904, 51211, 74577, 50627, 50444, 50641, 51046, 51108, 51219, 51108, 51288, 58959, 50627, 52689, 50802, 51634, 58667, 50641, 52689, 72359, 50904, 51075, 50904, 51211, 50904, 57530, 51046, 50904, 51219, 50904, 51288, 50904 ]

[ 0, 4688, 14899, 5175, 2214, 4246, 10, 20902, 20535, 2810, 6, 6755, 12547, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3741, 27374, 594, 6, 8, 17605, 9590, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 18461, 13410, 228, 2289, 6, 5, 1349, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 20, 16331, 33215, 16739, 9, 230, 6, 272, 6, 8, 211, 3639, 7, 63, 33200, 8, 33558, 16464, 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 ]

[ 56236, 53028, 50824, 51544, 50824, 51570, 50824, 52320, 50824, 50799, 51683, 51160, 51888, 51160, 51776, 51160, 52042, 50836, 54160, 56972, 63374, 57368, 52042, 52217, 52871, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52269, 50860, 53559, 50860, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52269, 50860, 53559, 50860, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52269, 51072, 53559, 51072, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217, 52848, 52269, 50823, 53559, 50802, 52042, 50836, 54160, 51812, 58807, 55874, 52042, 52217, 52955, 52269, 51066, 53559, 51072, 52042, 50836, 54747, 51331, 55603, 53736, 52042, 52217, 50812, 50799, 52595, 50836, 54380, 63374, 57368, 52595, 52217, 52871, 52269, 50802, 52889, 50802, 52595, 50836, 57397, 51331, 55603, 53578, 52595, 52217, 52710, 52269, 51066, 52889, 51072, 52595, 50836, 54380, 51812, 58807, 55658, 52595, 52217, 52749, 52595, 50836, 57397, 51331, 55603, 53785, 52595, 52217, 52841, 52269, 51066, 52889, 51072, 52595, 50836, 54380, 63374, 56358, 52595, 52217, 52597, 52595, 50836, 57397, 51331, 55603, 53851, 52595, 52217, 52848, 51683, 51160, 51713, 51160, 52002, 51160, 52595, 50836, 54380, 51812, 56972, 58807, 55874, 52595, 52217, 52955, 52595, 50836, 57397, 51331, 55603, 53736, 52595, 52217, 50812, 50799, 51683, 51160, 51888, 51160, 51776, 51160, 52042, 50836, 54160, 56972, 63374, 57368, 52042, 52217, 52871, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52269, 50823, 53559, 50860, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52269, 50823, 53559, 50802, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52269, 51066, 53559, 51072, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217, 52848, 52269, 50823, 53559, 50860, 52042, 50836, 54160, 51812, 58807, 55874, 52042, 52217, 52955, 52269, 50993, 53559, 50824, 52042, 50836, 54747, 51331, 55603, 53736, 52042, 52217, 50812, 63719, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 53388, 50860, 52449, 50802, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 53388, 51066, 52449, 51072, 52020, 50836, 53631, 51812, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 53388, 50824, 52449, 50824, 52020, 50836, 53631, 63374, 56358, 52020, 52217, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 52310, 51160, 51648, 51160, 51776, 51160, 52020, 50836, 53631, 56972, 51812, 58807, 55874, 52020, 52217, 52955, 52020, 60038, 50299, 51331, 55603, 53736, 52020, 52217, 50812, 50799, 51913, 51160, 51683, 51160, 51713, 51160, 52595, 50836, 54380, 56972, 63374, 57368, 52595, 52217, 52871, 52595, 50836, 57397, 51331, 55603, 53578, 52595, 52217, 52710, 52248, 50823, 52269, 50823, 52595, 50836, 54380, 51812, 58807, 55658, 52595, 52217, 52749, 52248, 50823, 52269, 50860, 52595, 50836, 57397, 51331, 55603, 53785, 52595, 52217, 52841, 52248, 51066, 52269, 51072, 52595, 50836, 54380, 63374, 56358, 52595, 52217, 52597, 52595, 50836, 57397, 51331, 55603, 53851, 52595, 52217, 52848, 52248, 50823, 52269, 50860, 52595, 50836, 54380, 51812, 58807, 55874, 52595, 52217, 52955, 52248, 50993, 52269, 51072, 52595, 50836, 57397, 51331, 55603, 53736, 52595, 52217, 50812, 64377, 50836, 54160, 63374, 57368, 52042, 52217, 52871, 52239, 50860, 52269, 50802, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52248, 51066, 52269, 51072, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52239, 51009, 52269, 51009, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 57017, 50880, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217, 52848, 50712, 50291, 50880, 52042, 50836, 54160, 51812, 58807, 55874, 52042, 52217, 52955, 66392, 50880, 52042, 50836, 54747, 51331, 55603, 53736, 52042, 52217, 50812, 50799, 66348, 52570, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 52020, 50836, 53631, 51812, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 52020, 50836, 53631, 63374, 56358, 52020, 52217, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 52020, 50836, 53631, 51812, 58807, 55874, 52020, 52217, 52955, 52020, 60038, 50299, 51331, 55603, 53736, 52020, 52217, 50812, 50799, 55282, 52500, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 52020, 50836, 53631, 51812, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 52020, 50836, 53631, 63374, 56358, 52020, 52217, 52597, 57017, 50921, 51683, 50880, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 50712, 50291, 50880, 52310, 50880, 52020, 50836, 53631, 51812, 58807, 55874, 52020, 52217, 52955, 66392, 50880, 51913, 50880, 52020, 60038, 50299, 51331, 55603, 53736, 52020, 52217, 50812, 50799, 66348, 51285, 51963, 50980, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 52020, 60038, 50299, 51331, 55603, 53578, 52020, 52217, 52710, 51963, 50821, 52310, 50821, 52020, 50836, 53631, 62748, 54371, 58807, 55658, 52020, 52217, 52749, 51963, 50921, 52310, 50921, 52020, 60038, 50299, 62748, 50845, 51340, 51104, 53785, 52020, 52217, 52841, 50712, 50291, 51285, 51963, 50980, 52310, 50980, 52020, 50836, 53631, 62748, 55530, 52448, 56358, 52020, 52217, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 52217, 52848, 51963, 50821, 52310, 50821, 51648, 50821, 52020, 50836, 53631, 62748, 54371, 58807, 55874, 52020, 52217, 52955, 51963, 50980, 52310, 50980, 51648, 50980, 52020, 60038, 50299, 62748, 50915, 51340, 51104, 53736, 52020, 52217, 50812, 50799, 59559, 51285, 52020, 50836, 53631, 63374, 57368, 52020, 52217, 52871, 51963, 50921, 52310, 50921, 51648, 50921, 51713, 50921, 52020, 60038, 50299, 50802, 51357, 51101, 51340, 51104, 53578, 52020, 52217, 52710, 51963, 50980, 52310, 50980, 51648, 50980, 51713, 50980, 52020, 50836, 53631, 71569, 56951, 58807, 55658, 52020, 52217, 52749, 52020, 60038, 50299, 51331, 55603, 53785, 52020, 52217, 52841, 55865, 51285, 51963, 50921, 52310, 50921, 51648, 50921, 51776, 50921, 52020, 50836, 53631, 68267, 54371, 51670, 52448, 56358, 52020, 54472, 51156, 52597, 52020, 60038, 50299, 51331, 55603, 53851, 52020, 54472, 51156, 52848, 51963, 50921, 52310, 50921, 51648, 50921, 51776, 50921, 52020, 50836, 53631, 68267, 54371, 53972, 55874, 52020, 52217, 52955, 52020, 60038, 50299, 65272, 55603, 53736, 52020, 54472, 51052, 50812, 50799, 57017, 50936, 51683, 50921, 51888, 50921, 51776, 50921, 52306, 50921, 52042, 50836, 54160, 68308, 50845, 51304, 71811, 63374, 57368, 52042, 52217, 52871, 52042, 50836, 54747, 51331, 55603, 53578, 52042, 52217, 52710, 52042, 50836, 54160, 51812, 58807, 55658, 52042, 52217, 52749, 52042, 50836, 54747, 51331, 55603, 53785, 52042, 52217, 52841, 52042, 50836, 54160, 63374, 56358, 52042, 52217, 52597, 52042, 50836, 54747, 51331, 55603, 53851, 52042, 52217 ]

[ 0, 250, 15855, 5175, 24904, 6, 42, 765, 2214, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 6, 1969, 13, 822, 4, 16241, 212, 6820, 6, 638, 268, 6, 8, 2236, 1021, 2678, 29, 45552, 833, 19, 38668, 18569, 8, 7304, 19250, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 27841, 139, 20889, 6, 19, 10, 33215, 16739, 9, 230, 6, 274, 119, 6, 2060, 6, 8, 12608, 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 ]

[ 50799, 50643, 76501, 50625, 50796, 51474, 50474, 61453, 51333, 51540, 68612, 76357, 62699, 52378, 50450, 55496, 52519, 50468, 55693, 51470, 50474, 55496, 52378, 51540, 62699, 76357, 56048, 53096, 50450, 75081, 52519, 50468, 61453, 51824, 50474, 56048, 53096, 51540, 68612, 51447, 50438, 61453, 54344, 50450, 61453, 53577, 50468, 57894, 52192, 50474, 61453, 52996, 51540, 56048, 53866, 50450, 62582, 56308, 50474, 61453, 53697, 50727, 50309, 53697, 51540, 68612, 54557, 50415, 50727, 50314, 52598, 50438, 62699, 53697, 50727, 50312, 54836, 50450, 55496, 53280, 50451, 50727, 50312, 56458, 50468, 55693, 51254, 50474, 55496, 52460, 70613, 52378, 51540, 62699, 51703, 70210, 52263, 50438, 56048, 54521, 50439, 50727, 50312, 54836, 50450, 75081, 54211, 50727, 50312, 56458, 50468, 61453, 52192, 50474, 56048, 52460, 50727, 50310, 53892, 51540, 68612, 51738, 50727, 50309, 52440, 50426, 56048, 54836, 50438, 61453, 54344, 50727, 50310, 58090, 50450, 57894, 53280, 50727, 50309, 52440, 50469, 56783, 51824, 50474, 57894, 53096, 70210, 54521, 51540, 61453, 54573, 70613, 56329, 50450, 61453, 52212, 50451, 50727, 50314, 55776, 50474, 61453, 51466, 50727, 50309, 50928, 50734, 50305, 52996, 51540, 68612, 51490, 50727, 50314, 52407, 63702, 54532, 50438, 62699, 52378, 50727, 50312, 53697, 79814, 52378, 50450, 55496, 52519, 50727, 50312, 56458, 50734, 50305, 52407, 50468, 55693, 51470, 50474, 55496, 52378, 50475, 70613, 51806, 63702, 54836, 51540, 62699, 52147, 70210, 52263, 67967, 54557, 50438, 56048, 53096, 50727, 50312, 54836, 79814, 52996, 50450, 75081, 52519, 50451, 50727, 50312, 52440, 50734, 50304, 54557, 50468, 61453, 51824, 50474, 56048, 53096, 50475, 50727, 50310, 56615, 79814, 54836, 51540, 68612, 51703, 50727, 50309, 54532, 50734, 50305, 56458, 50438, 61453, 54344, 50727, 50309, 54521, 50734, 50305, 53892, 50450, 61453, 53577, 50727, 50307, 52212, 50734, 50302, 54557, 50469, 57894, 52192, 50474, 61453, 53957, 50727, 50314, 52056, 50734, 50302, 53010, 51540, 56048, 53866, 50727, 50313, 53486, 63702, 55586, 50450, 62582, 56308, 50727, 50313, 54557, 50734, 50304, 56458, 50474, 61453, 53697, 50475, 50727, 50309, 53697, 50734, 50305, 53096, 50736, 50290, 51753, 51540, 68612, 54557, 50727, 50314, 52598, 63702, 54532, 50415, 50736, 50290, 52519, 50438, 62699, 53697, 50727, 50312, 54836, 79814, 52996, 50736, 50292, 53161, 50450, 55496, 53577, 50727, 50312, 56458, 50734, 50305, 54557, 50736, 50293, 54557, 50468, 55693, 52192, 50474, 55496, 53892, 70613, 52378, 63702, 54344, 50736, 50293, 53010, 51540, 62699, 51703, 70210, 52263, 67967, 54532, 50415, 50736, 50288, 54532, 50438, 56048, 54521, 50439, 50727, 50312, 54836, 79814, 53892, 50736, 50288, 53161, 50450, 75081, 54211, 50727, 50312, 56458, 50734, 50304, 54557, 50736, 50288, 53280, 50468, 61453, 52192, 50474, 56048, 52460, 50475, 50727, 50310, 53892, 79814, 53892, 50736, 50289, 51432, 51540, 68612, 51738, 50727, 50309, 52440, 50734, 50305, 56458, 50415, 50736, 50290, 52136, 50426, 56048, 54836, 50438, 61453, 56615, 50727, 50310, 58090, 79814, 54836, 50736, 50283, 52518, 50450, 57894, 53280, 50727, 50309, 52440, 50734, 50304, 54557, 50736, 50285, 55002, 50468, 56783, 51432, 50474, 57894, 53161, 50727, 50309, 54521, 50734, 50304, 53010, 50475, 50736, 50285, 53010, 51540, 61453, 54573, 50415, 50727, 50309, 56329, 50734, 50305, 54829, 50736, 50290, 55586, 50450, 61453, 53866, 70613, 55776, 63702, 54573, 50736, 50290, 54829, 51540, 71630, 52528, 50415, 70210, 52783, 63702, 52783, 73729, 55586, 56817, 51103, 59481, 54829, 50450, 71630, 52136, 50727, 50321, 52441, 50451, 67967, 52407, 50736, 50293, 52407, 56817, 51191, 67350, 51381, 50468, 55693, 51470, 50727, 50319, 51006, 50469, 53807, 50897, 70077, 51254, 50474, 55496, 52059, 70613, 51432, 67967, 51210, 50736, 50293, 52192, 50475, 53775, 50897, 73933, 51862, 51540, 62699, 51703, 50415, 70210, 52598, 67967, 51961, 50736, 50288, 53280, 55783, 51413, 59481, 53577, 50438, 56048, 53697, 50727, 50312, 54836, 79814, 51309, 50736, 50288, 51387, 50439, 53091, 50845, 74012, 53106, 50450, 75081, 56374, 50451, 50727, 50312, 54211, 50734, 50304, 51477, 50736, 50288, 55812, 55521, 52256, 74012, 79802, 50468, 61453, 52731, 50727, 50314, 51254, 50474, 56048, 56615, 50475, 50727, 50310, 53010, 79814, 50838, 50736, 50289, 51862, 51540, 68612, 52440, 50727, 50309, 56458, 50734, 50305, 51637, 50415, 50736, 50289, 54532, 50438, 61453, 55197, 50439, 50727, 50309, 54298, 50734, 50305, 51006, 50736, 50290, 59038, 61453, 55002, 50451, 50727, 50310, 56458, 79814, 51283, 50736, 50283, 52519, 50468, 57894, 51697, 50474, 61453, 53697, 50475, 50727, 50314, 51166, 79814, 51174, 50736, 50286, 51074, 51540, 56048, 52212, 50415, 50727, 50313, 54532, 50734, 50304, 51878, 50736, 50285, 52212, 50438, 57894, 56615, 50727, 50309, 54861, 50734, 50304, 51051, 50736, 50285, 52179, 50450, 62582, 63160, 50451, 50727, 50309, 58468, 63702, 52783, 50736, 50285, 55586, 51540, 71630, 52980, 70210, 52783, 63702, 52783, 50415, 73729, 55586, 56817, 51103, 59481, 52440, 50450, 71630, 52256, 50451, 50727, 50321, 51283, 67967, 52263, 50736, 50293, 53577, 56817, 51189, 67350, 54211, 50468, 55693, 51079, 50727, 50319, 51254, 50469, 53807, 50917, 70077, 52731, 50474, 55496, 52378, 70613, 51753, 67967, 51376, 50736, 50293, 51387, 50475, 53775, 50917, 73933, 51862, 51540, 62699, 51703, 70210, 52407, 67967, 51965, 50415, 50736, 50288, 53577, 55783, 51413, 59481, 56458, 50438, 56048, 53096, 50439, 50727, 50312, 54848, 79814, 50972, 50736, 50288, 52179, 53091, 51363, 74012, 57070, 50450, 75081, 59170, 50727, 50312, 54211, 50734, 50304, 51477, 50736, 50288, 53280, 50451, 55521, 52441, 74012, 75222, 50468, 61453, 51387, 50727, 50314, 51365, 52077, 52782, 50474, 56048, 51738, 50727, 50310, 51697, 79814, 50838, 50736, 50289, 51470, 50475, 51882, 53726, 51540, 68612, 53280, 50727, 50309, 54557, 50734, 50305, 51283, 50415, 50736, 50290, 53280, 52655, 55002, 50432, 56048, 51824, 50433, 51882, 52192, 50438, 61453, 53892, 50439, 50727, 50310, 53697, 50734, 50295, 51166, 79814, 51058, 50736, 50283, 51277, 52077, 53726, 50450, 57894, 53280, 50727, 50309, 54557, 50734, 50297, 52136, 50734, 50304, 51627, 50451, 50736, 50285, 51637, 51855, 53674, 50468, 56783, 52782, 51813, 52731, 50474, 57894, 54521, 50727, 50309, 53892, 50734, 50297, 52518, 50734, 50304, 51006, 50475, 50736, 50285, 50838, 51855, 52518, 51540, 61453, 54573, 50727, 50309, 56329, 50734, 50302, 54829, 50415, 50734, 50305, 52015, 50736, 50290, 51680, 52077, 56329, 50450, 61453, 54228, 50451, 70613, 54228, 50734, 50305, 51961, 63702, 53577, 73729, 53674, 52077, 53674, 50474, 61453, 51330, 50727, 50309, 53697, 50734, 50305, 52996, 50736, 50290, 54836, 50475, 52077, 51380, 68444, 53161, 51540, 68612, 51314, 50727, 50314, 52407, 50415, 63702, 54532, 50736, 50290, 52136, 52655, 51535, 50705, 50290, 51330, 68445, 59170, 50438, 62699, 51576, 50727, 50312, 53697, 79814, 52378, 50736, 50292, 51884, 50439, 52914, 52188, 50450, 55496, 51477, 50727, 50312, 56458, 50734, 50305, 52407, 50451, 50736, 50293, 52136, 52561, 51637, 50705, 50293, 50995, 67751, 53674, 50468, 55693, 51254, 52908, 51174, 50474, 55496, 51576, 70613, 51806, 63702, 54836, 50736, 50293, 51481, 50475, 52561, 51775 ]

[ 0, 250, 2933, 8, 9066, 5175, 19834, 6, 4246, 30587, 29589, 6, 6755, 12547, 6, 17288, 6, 4401, 757, 3178, 6, 8, 21072, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 274, 538, 6, 19, 10, 33215, 16739, 9, 230, 6, 2060, 73, 387, 428, 6, 8, 1918, 6, 2351, 10, 25306, 8, 814, 12, 21330, 5466, 14, 7630, 6568, 10, 1472, 9, 980, 8, 2821, 16235, 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 ]

[ 54458, 53682, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 53305, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 76311, 50799, 53682, 51650, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 53305, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 52732, 52485, 58497, 50795, 50799, 53682, 50795, 52133, 51036, 69220, 53305, 56717, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 52732, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 52133, 59578, 52329, 53682, 52732, 53307, 50801, 52444, 50777, 50295, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 50795, 52306, 52154, 54139, 52306, 52218, 52485, 58497, 54093, 52306, 50800, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 52306, 51650, 52628, 52306, 51631, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 51036, 53812, 51650, 52628, 53191, 52296, 53191, 51620, 53682, 77628, 52154, 52359, 53191, 52262, 76311, 51658, 52510, 53812, 51650, 52555, 53812, 52732, 52485, 53812, 50795, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53812, 51650, 52628, 54705, 52296, 54705, 51620, 58497, 50795, 54705, 52154, 52359, 53682, 50795, 54705, 53505, 76311, 51658, 52510, 52305, 77628, 51650, 52555, 51942, 77628, 52732, 54139, 50801, 52485, 58497, 77628, 50795, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 53812, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 50795, 52306, 52154, 54139, 52306, 52218, 52485, 58497, 54093, 52306, 50800, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 52306, 51650, 52628, 52306, 51631, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 51036, 53812, 51650, 52628, 53191, 52296, 53191, 51620, 53682, 77628, 52154, 52359, 53191, 52262, 76311, 51658, 52510, 53812, 51650, 52555, 53812, 52732, 52485, 53812, 50795, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53812, 51650, 52628, 54705, 52296, 54705, 51620, 58497, 50795, 54705, 52154, 52359, 53682, 50795, 54705, 53505, 76311, 51658, 52510, 52305, 77628, 51650, 52555, 51942, 77628, 52732, 54139, 50801, 52485, 58497, 77628, 50795, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 53812, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53079, 60314, 52329, 58497, 52732, 52359, 53682, 53505, 50801, 52444, 52696, 55755, 52510, 50801, 52555, 50843, 54139, 50801, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 59578, 52329, 53682, 52732, 53307, 76311, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 50795, 52306, 52154, 54139, 52306, 51754, 58497, 54093, 52306, 50800, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 50700, 50273, 51492, 52306, 51650, 52628, 52306, 51631, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 50801, 52555, 50843, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 51036, 53812, 51650, 52628, 53191, 52296, 53191, 51620, 53682, 77628, 52154, 52359, 53191, 52262, 76311, 51658, 52510, 53812, 51650, 52555, 53812, 52732, 52485, 53812, 50795, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53812, 51650, 52628, 54705, 52296, 54705, 51620, 58497, 50795, 54705, 52154, 52359, 53682, 50795, 54705, 53505, 76311, 51658, 52510, 52305, 77628, 51650, 52555, 51942, 77628, 52732, 52485, 58497, 77628, 50795, 50799, 53682, 50795, 52133, 51036, 51743, 51036, 53812, 51650, 52329, 53682, 52732, 53307, 50801, 52444, 58535, 59578, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 51036, 53079, 50983, 53512, 60314, 52329, 58497, 52732, 52359, 53682, 53505, 50801, 52444, 52696, 50918, 56742, 55755, 52510, 50801, 52555, 50843, 52485, 58497, 50795, 50799, 53682, 50795, 51881, 51036, 51743, 59578, 52329, 53682, 52732, 50809, 51658, 52510, 50801, 52555, 67100, 50799, 53682, 50807, 53100, 51036, 51743, 59578, 52329, 58497, 52732, 52359, 53682, 53505, 76311, 51658, 52510, 52305, 51650, 52555, 51942, 52732, 54139, 50801, 52485, 58497, 50795, 50799, 50700, 50273, 51492, 58535, 51492, 65405, 55755, 52359, 50801, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 50801, 52444, 50777, 50307, 59578, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 50799, 50777, 50289, 52382, 50801, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52773, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52485, 76311, 51755, 52359, 76311, 51658, 52510, 53682, 51798, 52305, 51923, 51278, 51650, 50809, 72244, 51650, 52628, 52305, 51631, 51778, 51736, 51386, 51650, 50809, 51658, 52485, 76311, 51755, 52359, 50801, 52444, 52305, 51650, 52510, 51611, 52513, 52305, 51757, 51942, 51923, 76311, 51755, 52359, 76311, 51658, 52510, 53682, 51923, 53682, 51650, 50809, 50799, 58259, 51650, 52359, 76311, 51658, 52485, 76311, 50799, 65405, 55755, 56717, 52628, 53682, 51631, 52305, 51736, 51278, 51650, 52444, 51521, 51650, 52510, 52305, 51798, 51778, 51923, 51386, 51650, 50809, 51755, 52359, 76311, 51658, 52485, 76311, 50799, 52305, 51650 ]

[ 0, 250, 8787, 25771, 5175, 15229, 14, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 26545, 6, 4246, 10, 5730, 2342, 4467, 6, 6755, 12547, 6, 20535, 483, 6, 13305, 6, 8, 38668, 20535, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 25451, 11, 5, 762, 9, 274, 10431, 538, 19, 10, 33215, 13931, 9, 274, 10431, 6, 12608, 119, 6, 230, 10431, 6, 274, 10431, 6, 8, 12608, 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 ]

[ 57128, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 50807, 54837, 50807, 55156, 50807, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 61899, 54601, 50807, 55156, 50807, 57381, 52424, 54486, 50807, 57381, 50807, 61893, 52728, 54645, 52382, 57381, 52382, 61297, 52382, 50799, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 54837, 51492, 55156, 51492, 62365, 51492, 60390, 51492, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 51036, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 51036, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 51036, 55156, 51036, 54882, 51036, 54245, 51036, 56387, 51036, 52176, 51036, 50799, 56586, 50807, 55156, 50807, 54245, 51036, 56058, 50807, 52176, 51036, 51708, 52910, 56852, 50807, 56276, 50807, 55606, 50807, 52040, 52424, 55026, 51492, 55562, 51492, 54564, 51492, 51280, 51492, 50799, 54517, 51036, 51876, 51036, 50799, 54517, 51036, 51876, 51036, 50799, 54517, 51036, 51876, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51313, 52756, 51036, 51743, 51313, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 55026, 51036, 55562, 51036, 54543, 51036, 52785, 51036, 55663, 51036, 52756, 51036, 51743, 51036, 52036, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 50807, 55857, 50807, 54324, 50807, 52402, 50807, 52187, 50807, 52340, 52910, 55663, 50807, 55667, 50807, 52756, 50807, 51743, 50807, 52414, 50807, 52036, 52424, 63331, 50918, 54324, 50918, 54375, 50918, 52332, 50918, 52340, 50918, 53129, 50918, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 53520, 55857, 53520, 54324, 53520, 52402, 53520, 52187, 53520, 52340, 53520, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 51161, 55857, 51161, 54324, 51161, 52402, 51161, 52187, 51161, 52340, 51161, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55857, 50807, 54324, 50807, 54615, 50807, 52187, 50807, 52340, 50807, 53499, 52910, 54942, 50807, 55667, 50807, 53527, 50807, 51863, 50807, 52414, 50807, 52735, 52424, 59018, 50983, 55857, 50983, 54467, 50983, 52255, 50983, 52187, 50983, 53188, 68862, 54324, 50795, 54375, 50795, 57797, 50795, 52340, 50795, 53129, 50795, 54339, 50795, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55667, 50807, 53719, 50807, 55861, 50807, 52414, 50807, 52225, 50807, 53976, 52910, 55857, 51161, 54324, 51161, 54615, 51161, 52187, 51161, 52340, 51161, 53499, 51161, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 59018, 50807, 53719, 50807, 54467, 50807, 52255, 50807, 52225, 50807, 53188, 52910, 54942, 53520, 54375, 53520, 53527, 53520, 51863, 53520, 53129, 53520, 52735, 53520, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 50807, 55857, 50807, 54324, 50807, 52402, 50807, 52187, 50807, 52340, 52910, 55663, 50807, 55667, 50807, 52756, 50807, 51743, 50807, 52414, 50807, 52036, 52424, 63331, 50918, 54324, 50918, 54375, 50918, 52332, 50918, 52340, 50918, 53129, 50918, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 53520, 55857, 53520, 54324, 53520, 52402, 53520, 52187, 53520, 52340, 53520, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 55663, 50795, 55667, 50795, 52756, 50795, 51743, 50795, 52414, 50795, 52036, 52115, 59018, 50795, 52756, 50795, 54467, 50795, 52255, 50795, 52036, 50795, 53188, 51631, 61143, 51161, 55857, 51161, 54324, 51161, 52402, 51161, 52187, 51161, 52340, 51161, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55857, 50807, 54324, 50807, 54615, 50807, 52187, 50807, 52340, 50807, 53499, 52910, 54942, 50807, 55667, 50807, 53527, 50807, 51863, 50807, 52414, 50807, 52735, 52424, 59018, 50983, 55857, 50983, 54467, 50983, 52255, 50983, 52187, 50983, 53188, 68862, 54324, 50795, 54375, 50795, 57797, 50795, 52340, 50795, 53129, 50795, 54339, 50795, 50799, 58859, 51036, 56002, 51036, 54733, 51036, 52477, 51036, 55667, 50807, 53719, 50807, 55861, 50807, 52414, 50807, 52225, 50807, 53976, 52910, 55857, 51161, 54324, 51161, 54615, 51161, 52187, 51161, 52340, 51161, 53499, 51161, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 59018, 50807, 53719, 50807, 54467, 50807, 52255, 50807, 52225, 50807, 53188, 52910, 54942, 53520, 54375, 53520, 53527, 53520, 51863, 53520, 53129, 53520, 52735, 53520, 50799, 57832, 51036, 61214, 51036, 56686, 51036, 53483, 51036, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 59114, 50807, 52033, 52910, 63331, 50807, 52332, 52424, 59018, 50807, 52255, 52728, 54942, 50795, 51863, 51923, 55857, 50795, 52187, 50795, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 54324, 50983, 52340, 57345, 55667, 50795, 52414, 51646, 53719, 50807, 52225, 52728, 54324, 50807, 52340, 50807, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 51492, 54324, 51492, 52402, 51492, 52340, 51492, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 59114, 50807, 52033, 52910, 63331, 50807, 52332, 52424, 59018, 50807, 52255, 52728, 54942, 50795, 51863, 51923, 55857, 50795, 52187, 50795, 50799, 64121, 51036, 55733, 51036, 58001, 51036, 52533, 51036, 54324, 50983, 52340, 57345, 55667, 50795, 52414, 51646, 53719, 50807, 52225, 52728, 54324, 50807, 52340, 50807, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 51492, 54324, 51492, 54375, 51492, 52402, 51492, 52340, 51492, 53129, 51492, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 50799, 65168, 51036, 64617, 51036, 62610, 51036, 52649, 51036, 61143, 50807, 55857, 50807, 54324, 50807, 52402, 50807, 52187, 50807, 52340, 52910, 55663, 50807, 55667, 50807, 52756, 50807, 51743, 50807, 52414, 50807, 52036, 52424, 63331, 50918, 54324, 50918, 54375, 50918, 52332, 50918, 52340, 50918, 53129, 50918, 50799, 65168, 51036, 64617, 51036 ]

[ 0, 250, 13363, 28191, 19834, 2125, 14, 23458, 28337, 25771, 4785, 6, 2351, 41, 24111, 25306, 676, 4, 590, 10, 20889, 9, 5595, 13410, 228, 2289, 8, 10, 231, 73, 398, 86, 6543, 6, 42, 15229, 30853, 23, 41, 1614, 1073, 1020, 2877, 11, 5, 762, 9, 163, 428, 538, 4, 20, 14123, 24943, 1575, 5, 16141, 23225, 9, 5, 2893, 27374, 594, 6, 13602, 9171, 6, 31103, 5675, 5997, 1033, 6, 7382, 10337, 6, 8, 5816, 3540, 6, 32971, 561, 10, 5797, 990, 1506, 9, 2369, 14, 7630, 6568, 10, 1472, 9, 2821, 16235, 6, 26545, 6, 8, 3722, 5581, 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 ]

[ 51540, 50623, 50906, 51356, 50902, 51356, 55745, 51127, 53952, 51127, 53602, 51127, 52494, 51127, 65884, 51356, 57302, 51356, 51722, 51127, 51612, 51127, 73407, 51127, 62582, 51127, 52661, 51127, 52779, 51127, 51340, 50990, 66006, 70704, 51068, 50361, 51122, 51128, 53842, 51544, 54860, 51068, 50361, 51122, 57328, 55108, 50906, 52530, 50319, 51016, 55745, 50943, 53256, 50943, 53602, 50943, 53042, 50943, 65884, 51016, 55846, 51016, 51722, 50943, 52184, 50943, 73407, 50943, 57894, 50943, 52661, 50943, 53276, 50943, 51068, 55459, 50930, 71495, 58641, 50943, 51180, 55256, 50965, 51356, 50902, 51356, 55745, 51127, 53205, 51127, 55872, 51127, 52494, 51127, 65884, 51356, 56825, 51356, 51986, 51127, 51612, 51127, 73407, 51127, 56783, 51127, 53232, 51127, 52779, 51127, 71495, 66006, 51127, 51453, 50867, 69847, 50855, 50468, 51068, 50361, 51122, 61315, 50971, 50474, 50965, 68638, 51016, 55745, 50943, 53205, 50943, 55872, 50943, 52795, 50943, 65884, 51016, 56825, 51016, 51986, 50943, 51567, 50943, 73407, 50943, 56783, 50943, 53232, 50943, 52360, 50943, 52029, 50990, 58641, 50943, 50480, 51068, 50361, 51122, 57328, 50971, 51540, 50861, 51356, 50906, 51356, 61125, 51127, 56676, 51127, 54650, 51127, 53602, 51127, 50695, 50295, 51356, 59679, 51356, 51555, 51127, 51722, 51127, 50725, 50295, 51127, 80014, 51127, 52118, 51127, 52661, 51127, 51068, 54690, 50930, 71495, 66006, 70704, 51068, 50361, 51122, 51128, 53842, 51544, 50886, 51361, 55108, 50956, 67957, 51016, 61125, 50873, 55745, 50943, 65960, 50943, 54650, 50943, 50695, 50295, 50893, 65884, 51016, 52623, 50943, 51555, 50943, 50725, 50295, 50873, 73407, 50943, 53252, 50943, 52118, 50943, 51340, 50990, 58641, 58141, 61018, 50873, 75458, 50893, 50725, 50294, 67513, 50361, 51122, 61315, 55256, 50956, 51941, 50861, 51941, 58899, 51127, 55745, 51127, 65960, 51518, 54650, 51518, 79586, 51356, 65884, 51356, 52623, 51518, 51555, 51518, 50725, 50292, 51127, 73407, 51127, 53252, 51518, 52118, 51518, 52029, 50990, 74910, 51518, 50456, 51068, 50361, 51122, 51126, 53842, 50462, 51068, 54690, 50930, 52558, 50468, 51068, 55296, 52675, 50971, 50474, 57533, 50943, 59410, 50943, 70121, 51016, 63276, 51016, 76568, 50943, 50725, 50301, 50943, 52558, 50480, 50791, 50971, 51540, 50899, 51356, 50871, 51356, 58588, 51127, 55745, 51127, 61513, 51127, 56496, 51127, 50695, 50290, 51356, 65884, 51356, 52123, 51127, 51783, 51127, 50725, 50290, 51127, 73407, 51127, 52508, 51127, 52230, 51127, 51340, 50990, 66006, 51127, 51039, 51000, 51544, 50886, 51361, 55108, 50871, 70606, 51016, 55745, 50873, 54476, 50943, 56496, 50943, 53602, 50943, 65884, 50893, 58185, 51016, 51783, 50943, 51722, 50943, 73407, 50873, 61167, 50943, 52230, 50943, 52661, 50943, 51068, 54690, 50930, 71495, 58641, 58141, 59410, 50873, 63276, 50893, 50725, 50301, 54068, 55256, 50861, 51356, 50906, 51356, 57457, 51127, 54476, 51127, 54650, 51127, 53602, 51127, 66723, 51356, 58185, 51356, 51555, 51127, 51722, 51127, 50725, 50299, 51127, 61167, 51127, 52118, 51127, 52661, 51127, 71495, 66006, 51127, 50456, 51068, 50361, 51122, 51128, 52558, 69847, 50855, 50468, 51068, 50361, 51122, 57328, 50971, 50474, 50906, 52530, 50318, 51016, 57457, 50943, 53205, 50873, 53602, 50943, 52494, 50943, 66723, 51016, 56825, 50893, 51722, 50943, 51612, 50943, 50725, 50299, 50943, 56783, 50873, 52661, 50943, 52779, 50943, 52029, 50990, 58641, 50943, 50480, 53952, 50873, 57302, 50893, 62582, 54068, 50971, 51540, 50861, 51941, 50906, 51941, 50902, 51941, 55561, 51518, 54676, 51518, 54650, 51518, 53602, 51518, 52494, 51518, 58969, 51941, 62059, 51941, 51555, 51518, 51722, 51518, 51612, 51518, 67349, 51518, 69335, 51518, 52118, 51518, 52661, 51518, 52779, 51518, 51068, 54690, 50930, 71495, 74910, 74910, 51518, 50420, 51068, 50361, 51122, 51128, 53842, 51544, 54860, 51068, 50361, 51122, 57328, 50971, 51570, 50836, 51180, 55256, 50871, 51941, 50877, 51941, 50876, 51941, 57533, 50943, 56676, 51518, 56496, 51518, 54019, 51518, 52795, 51518, 70121, 51016, 59679, 51941, 51783, 51518, 51584, 51518, 51567, 51518, 76568, 50943, 80014, 51518, 52230, 51518, 52345, 51518, 52360, 51518, 52029, 50990, 74910, 74910, 51518, 51453, 51000, 50462, 57457, 50943, 66723, 51016, 50725, 50299, 50943, 51068, 54690, 50930, 52558, 50468, 51068, 55296, 52675, 50971, 50474, 59410, 50943, 63276, 51016, 50725, 50301, 50943, 52558, 50480, 50791, 50971, 51540, 50906, 51356, 50902, 51356, 55745, 51127, 53952, 51127, 53602, 51127, 52494, 51127, 65884, 51356, 57302, 51356, 51722, 51127, 51612, 51127, 73407, 51127, 62582, 51127, 52661, 51127, 52779, 51127, 51340, 50990, 66006, 51127, 51039, 51000, 51544, 50886, 51361, 55108, 50906, 52530, 50319, 51016, 55745, 50943, 53205, 50943, 53602, 50943, 53042, 50943, 65884, 51016, 56825, 51016, 51722, 50943, 52184, 50943, 73407, 50943, 56783, 50943, 52661, 50943, 53276, 50943, 51068, 54690, 50930, 71495, 58641, 58141, 51068, 50361, 51122, 61315, 55256, 50965, 51356, 50902, 51356, 55745, 51127, 53952, 51127, 55872, 51127, 52494, 51127, 65884, 51356, 57302, 51356, 51986, 51127, 51612, 51127, 73407, 51127, 62582, 51127, 53232, 51127, 52779, 51127, 71495, 66006, 51127, 51453, 50867, 69847, 50855, 50468, 51068, 50361, 51122, 57328, 50971, 50474, 50965, 68638, 51016, 55745, 50943, 53952, 50943, 55872, 50943, 52795, 50943, 65884, 51016, 57302, 51016, 51986, 50943, 51567, 50943, 73407, 50943, 62582, 50943, 53232, 50943, 52360, 50943, 52029, 50990, 58641, 50943, 50480, 50791, 50971, 51540, 50861, 51356, 50906, 51356, 61125, 51127, 56676, 51127, 54650, 51127, 53602, 51127, 50695, 50295, 51356, 59679, 51356, 51555, 51127, 51722, 51127, 50725, 50295, 51127, 80014, 51127, 52118, 51127, 52661, 51127, 51068, 54690, 50930, 71495, 66006, 51127, 51039, 51000, 51544, 50886, 51361, 55108, 50956, 67957, 51016, 61125, 50943, 55745, 50873, 65960, 50943, 54650, 50943, 50695, 50295, 51016, 65884, 50893, 52623, 50943, 51555, 50943, 50725, 50295, 50943, 73407, 50873, 53252, 50943, 52118, 50943, 51340, 50990, 58641, 58141, 55561, 50873, 58969, 50893, 67349, 67513, 50361, 51122, 57328, 55256, 50916, 51941, 50861, 51941, 61947, 51518, 59088, 51518, 60856, 51518, 54650, 51518, 50695, 50296, 51941, 63910, 51941, 52041, 51518, 51555, 51518, 50725, 50296, 51518, 50725, 50305, 51518, 52760, 51518, 52118, 51518, 52029, 50990, 74910, 51518, 50456, 51068, 50361, 51122, 51128, 53842, 50462, 51068, 54690, 50930, 52558, 50468, 51068, 55296, 52675, 50971, 50474, 52558, 50480, 51068, 50361, 51122, 57328, 50971, 51540, 50899, 51356, 50871, 51356, 57533, 51127, 55745, 51127, 61513, 51127, 56496, 51127, 70121, 51356, 65884, 51356, 52123, 51127, 51783, 51127, 76568, 51127, 73407, 51127, 52508, 51127, 52230, 51127, 51340, 50990, 66006, 70704, 51068, 50361, 51122, 51126, 52558, 51544, 56693, 51068, 50361, 51122, 57328, 54431, 50871, 70606, 51016, 57533, 50943, 54476, 50943, 56496, 50943, 53602, 50943, 70121, 51016, 58185, 51016, 51783, 50943, 51722, 50943, 76568, 50943, 61167, 50943, 52230, 50943, 52661, 50943, 51068, 55459, 50930, 51895, 50990, 58641, 58141, 51068, 50361, 51122, 51128, 53842, 56415, 51356, 50877, 51356, 57533, 51127, 56676, 51127, 56496, 51127, 54019, 51127, 70121, 51356, 59679, 51356, 51783, 51127, 51584, 51127 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 41, 21979, 8669, 6, 6755, 12547, 6, 8, 1337, 17796, 15561, 6, 217, 11212, 6, 20535, 6, 8, 483, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 25451, 11, 5, 762, 9, 83, 3694, 4, 20, 33215, 16739, 9, 3676, 406, 6, 230, 6, 8, 211, 4620, 5, 46336, 24456, 9, 42, 3366, 219, 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 ]

[ 57211, 50460, 52021, 51655, 50461, 51164, 51696, 57342, 51696, 76750, 51655, 50416, 50939, 51469, 57315, 56650, 53200, 53885, 53200, 55551, 53200, 53711, 53200, 56175, 54944, 53664, 54663, 54942, 57661, 54942, 51030, 79970, 50379, 54176, 55221, 71800, 50887, 51468, 51039, 52546, 68133, 50863, 51544, 63851, 50863, 51361, 52683, 50895, 56321, 51833, 50835, 63664, 55218, 53200, 51041, 52875, 53200, 52207, 52546, 56156, 53200, 50930, 59207, 53200, 50880, 51762, 50453, 53664, 51421, 52920, 54942, 51421, 52683, 59426, 54942, 50893, 52105, 79970, 50378, 54176, 55221, 55663, 50887, 51842, 50420, 54619, 51864, 69062, 51510, 50863, 51544, 63851, 50837, 51361, 52546, 50895, 56321, 51750, 50835, 51658, 51179, 66085, 53200, 62442, 51468, 50443, 53200, 50890, 51180, 52546, 60635, 53200, 50961, 51618, 53057, 53200, 50887, 51762, 50453, 54324, 50858, 75936, 52756, 51594, 51903, 56046, 54942, 51167, 52261, 79970, 50378, 54176, 69075, 53070, 53200, 52189, 52546, 55133, 54942, 51235, 59195, 51471, 50429, 60945, 53200, 51508, 52546, 59873, 54942, 56795, 51833, 50829, 51658, 51179, 55384, 54324, 50887, 64864, 54324, 52207, 52546, 56156, 54324, 50890, 60899, 54324, 50930, 52105, 50453, 53200, 50887, 75936, 53664, 52153, 52546, 50883, 51621, 61994, 54942, 50880, 51755, 51392, 50378, 54176, 69006, 64336, 52546, 50883, 51510, 50863, 51544, 50820, 51532, 50837, 51361, 52546, 55135, 57936, 50829, 63664, 55218, 53200, 51041, 53114, 53200, 51135, 52683, 56156, 53200, 51041, 53068, 53200, 50930, 52105, 50453, 53664, 50890, 75936, 54942, 52304, 52546, 59426, 54942, 50936, 51762, 51755, 51392, 69979, 50841, 52021, 50806, 51164, 60874, 51033, 50872, 51379, 50939, 51167, 50417, 71800, 50840, 51842, 51039, 51903, 65003, 50836, 51510, 50837, 52021, 50887, 51164, 56667, 51471, 52021, 50949, 51164, 64063, 61387, 51031, 50939, 58146, 51468, 50848, 63219, 50839, 51361, 52683, 65003, 69263, 54487, 58018, 50835, 52021, 50949, 51164, 72315, 61387, 51010, 50939, 50949, 51658, 51179, 62660, 63219, 55604, 53200, 51135, 61215, 69263, 65858, 52616, 53200, 51864, 52546, 65810, 55029, 50924, 50939, 70343, 53200, 51864, 50839, 52021, 51379, 51164, 75500, 53200, 50930, 51931, 50848, 70495, 69395, 56328, 53664, 51421, 52920, 54942, 52304, 51903, 65003, 69263, 54359, 54942, 50893, 52105, 50848, 63877, 66848, 50839, 51755, 51392, 50378, 54176, 50846, 51171, 55963, 62009, 51033, 50847, 51354, 71709, 50417, 55663, 51179, 53070, 54619, 51508, 52546, 65003, 50836, 51510, 50837, 51171, 72526, 55447, 51471, 51171, 50884, 50988, 64063, 63671, 51031, 50939, 50949, 51532, 63570, 61574, 50839, 51361, 52546, 65971, 61574, 54487, 57936, 50835, 51171, 78669, 72315, 78457, 64728, 51031, 51658, 51179, 59162, 61574, 54704, 53200, 50887, 51468, 50848, 58178, 65858, 53044, 53200, 51864, 52546, 65810, 55305, 50924, 50939, 71097, 53200, 50880, 51762, 51171, 50967, 50988, 75500, 53200, 50858, 51762, 50848, 68277, 69395, 53532, 54324, 50924, 51762, 51453, 51903, 69914, 58178, 54991, 52756, 50936, 52105, 50848, 59947, 62956, 50834, 51755, 51392, 69979, 50828, 51751, 51388, 51037, 51014, 50979, 51379, 74433, 51402, 62238, 54942, 50924, 51039, 52683, 50883, 51037, 55946, 52756, 50948, 51842, 51751, 51045, 51544, 50820, 51037, 50961, 50979, 64478, 62753, 54942, 51370, 68972, 61574, 50839, 51361, 52546, 50883, 50979, 58178, 54487, 52756, 50940, 57936, 62168, 64910, 79858, 50828, 51658, 51179, 69263, 58875, 64562, 54942, 52831, 51468, 50885, 65969, 63752, 52616, 52756, 51864, 52683, 50895, 57212, 59949, 50850, 68577, 52756, 50890, 51762, 51164, 68280, 52756, 51739, 64202, 74865, 51735, 50850, 51932, 50453, 54324, 50890, 51471, 51164, 76999, 53200, 52304, 51903, 70180, 66376, 53200, 50930, 52105, 51755, 51392, 50378, 54176, 50846, 52021, 50806, 51164, 60164, 51033, 50872, 51354, 50939, 51379, 51402, 66032, 52683, 65003, 50836, 51510, 50863, 52021, 50880, 51164, 55447, 51471, 52021, 50949, 51164, 72315, 51031, 50872, 65413, 50961, 51532, 63570, 69263, 72793, 52546, 65003, 63219, 53908, 57936, 50835, 52021, 51031, 51164, 72315, 62925, 51010, 50939, 50949, 51658, 51239, 59162, 63877, 50839, 51572, 63570, 63219, 65858, 60930, 52546, 50884, 63245, 59949, 50939, 50936, 51618, 50820, 52021, 51379, 51164, 51483, 50450, 51762, 50848, 50803, 75603, 51647, 50820, 51453, 52546, 65003, 63219, 50839, 51621, 61585, 63219, 66848, 50834, 51755, 51392, 50378, 54176, 50835, 51171, 67933, 60164, 51045, 74433, 71709, 51402, 61044, 51903, 55767, 62072, 60660, 50855, 51510, 50371, 54176, 50884, 51171, 50890, 50988, 56667, 51471, 51171, 50949, 50988, 72315, 68579, 51031, 50939, 58146, 67177, 50374, 53967, 69903, 58178, 52925, 53200, 53710, 52683, 50385, 54176, 62660, 58178, 53908, 58018, 50835, 51171, 77728, 72315, 68579, 51010, 50939, 51031, 63664, 61585, 58178, 55698, 53200, 50924, 50441, 51468, 50848, 61574, 65858, 52616, 53200, 51864, 52546, 65003, 55305, 50924, 50939, 50936, 51618, 50820, 51171, 51167, 50988, 51354, 50448, 53200, 61326, 52105, 50848, 68277, 69395, 66250, 53200, 50936, 51931, 51453, 52546, 65003, 58178, 54625, 53200, 50936, 52105, 50848, 61574, 66848, 50820, 51755, 51392, 50379, 54176, 50835, 51751, 50976, 51037, 51033, 50979, 51483, 50847, 51354, 51402, 62238, 54942, 50880, 51039, 52546, 55767, 50374, 53967, 50834, 51037, 50855, 51510, 50371, 54176, 50818, 51751, 51045, 51544, 50834, 51037, 73760, 64478, 58860, 54942, 55104, 63966, 50374, 53967, 68972, 61574, 52925, 54942, 51049, 52683, 50386, 54176, 50841, 50979, 59947, 54487, 58018, 66175, 66307, 79858, 62586, 54324, 50830, 63664, 65969, 59203, 55218, 54324, 50890, 51468, 50885, 65969, 58875, 53044, 54324, 51421, 52546, 50884, 61377, 59949, 63224, 50447, 54324, 50887, 52105, 51164, 68280, 54324, 51179, 64937, 51014, 50872, 51735, 50850, 51932, 50453, 54324, 51179, 50829, 51164, 76999, 54324, 51508, 52546, 64832, 50942, 51621, 60880, 53200, 50940, 79970, 69979, 50829, 52021, 51624, 50297, 60164, 51014, 50872, 51354, 50939, 51167, 51402, 61044, 52683, 61213, 50376, 53967, 60660, 55155, 51248, 54176, 50818, 52021, 50880, 51164, 55447, 51471, 52021, 51031, 51164, 72315, 61387, 51031, 50939, 51031, 51532, 55519, 62072, 61215, 63877, 52417, 53200, 51421, 52546, 50385, 54176, 62660, 63219, 54606, 53200, 53841, 51750, 50835, 52021, 51031, 51164, 61597, 51031, 50872, 64728, 56262, 53664, 50924, 53552, 59162, 63219, 54704, 51468, 50848, 63877, 65858, 52616, 53200, 51049, 52546, 50895, 55688, 59949, 50939, 70343, 53664, 50948, 52105, 52021, 51167, 51164, 51483, 50450, 51762, 50848, 50950, 57386, 50939, 53532, 53200, 51049, 50834, 51453, 52546, 65003, 63219, 58544, 54942, 50924, 51621, 59162, 63219, 66848, 50839, 79970, 50379, 54176, 50829, 51751, 50976, 51037, 51014, 50979, 51354, 50847, 51354, 51402, 64336, 52546, 56459, 50374, 53967, 50834, 51037, 55946, 51248, 54176, 50818, 51751, 61177, 51471, 51037, 73760, 51010, 50847, 62753, 67177, 62072, 71141, 58178, 50839, 51361, 52683, 50385, 54176, 50839, 50979, 58178, 56802, 54942, 50940, 56321, 51750, 66175, 64910, 79858, 53116, 53664, 50865, 53552, 65969, 58875, 50839, 51572, 65622, 69263, 58875, 53044, 53664, 51421, 52683, 50895, 57212, 59949, 50850, 68577, 53664, 50887, 52105, 51164, 61208, 53664, 50952, 51762, 50885, 74865 ]

[ 0, 250, 20902, 8, 15352, 30054, 5175, 2125, 4246, 10, 13305, 483, 6, 7513, 30, 3459, 9590, 6, 20535, 2810, 6, 8, 31365, 6673, 6909, 4, 152, 765, 37903, 11, 274, 538, 34, 10, 1769, 20889, 8, 10, 1372, 6, 20425, 16464, 14, 115, 173, 157, 11, 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 ]

[ 58402, 51570, 50812, 52320, 50812, 50799, 51383, 58462, 57500, 57368, 51270, 60806, 55237, 55797, 51383, 61757, 57500, 52710, 51270, 55210, 55578, 53911, 51383, 61757, 57500, 53263, 51270, 66926, 55237, 54181, 51271, 51566, 50441, 51383, 61757, 57500, 52597, 51270, 55210, 55237, 54276, 53038, 50844, 51198, 50844, 51144, 50844, 51308, 50844, 51275, 50844, 51096, 50859, 51906, 50859, 51648, 50859, 51713, 50859, 52366, 50859, 54761, 50854, 52436, 53590, 80209, 57802, 71193, 52643, 53038, 50974, 51198, 50974, 51144, 50974, 51308, 50974, 51275, 50974, 51096, 51091, 51906, 50893, 51648, 50879, 51713, 50893, 52366, 50879, 54761, 50901, 52436, 50901, 52615, 52638, 58462, 55864, 50808, 65364, 51203, 51308, 50810, 51275, 51203, 78806, 52002, 50949, 51776, 50883, 53128, 50846, 52372, 50828, 52172, 50846, 51979, 53756, 59429, 60855, 55442, 68061, 51713, 50895, 51993, 50839, 51978, 69939, 51888, 50818, 51648, 50846, 52113, 50820, 51633, 50834, 52491, 50820, 52228, 56390, 51706, 50892, 51683, 50841, 51906, 50839, 51643, 50829, 51721, 50835, 52394, 50829, 53628, 55987, 50859, 50418, 51913, 50834, 51667, 50825, 53880, 61732, 51963, 50829, 51652, 50863, 54512, 53405, 51070, 58910, 51383, 55578, 74570, 52366, 50846, 52002, 50828, 51776, 50828, 54761, 50834, 53128, 50829, 52372, 50829, 52436, 50834, 52172, 50829, 51979, 56982, 51713, 50828, 51888, 50841, 51993, 50829, 52113, 50829, 51978, 50829, 52491, 52762, 51280, 50810, 51153, 50822, 51639, 50833, 52936, 50849, 52719, 50864, 51648, 50862, 51633, 50864, 52228, 54438, 59807, 55210, 57233, 51628, 51198, 50810, 80166, 51275, 50854, 52719, 50862, 51648, 50890, 51633, 50855, 52228, 67822, 55578, 60968, 51070, 53614, 51144, 50822, 51308, 50822, 65456, 52719, 50873, 51648, 50893, 51633, 50873, 52228, 50873, 51728, 52638, 54772, 55578, 56050, 51706, 53743, 51198, 50822, 52970, 50845, 52099, 50795, 52200, 50845, 52608, 50845, 51070, 60979, 51308, 67020, 55237, 52843, 51096, 51238, 52103, 50845, 51713, 50795, 51993, 50845, 51978, 50845, 51728, 51937, 61150, 55578, 55982, 51706, 50912, 51198, 53820, 51099, 50822, 51308, 50822, 52103, 50915, 51713, 50807, 51993, 50915, 51978, 50915, 51240, 55578, 57467, 51070, 50812, 65237, 50827, 51561, 50822, 51099, 50827, 65082, 51728, 52638, 54582, 55442, 59176, 51706, 50851, 51308, 57529, 54718, 51869, 50827, 51706, 50874, 51561, 50874, 51099, 50827, 51639, 50874, 52970, 50845, 52099, 50795, 52200, 50845, 52608, 50845, 51170, 55578, 58910, 80062, 51516, 65442, 57233, 53881, 50953, 51160, 52719, 50845, 76025, 51633, 50845, 52228, 50845, 51728, 51937, 54772, 57427, 52765, 51706, 50822, 51561, 50810, 51639, 55127, 54221, 51869, 50838, 51706, 50838, 80062, 51516, 50810, 52970, 50854, 52099, 50859, 52200, 50854, 52608, 59365, 55578, 60968, 51070, 53614, 51869, 50827, 51706, 50907, 51561, 50912, 51099, 50827, 72932, 51728, 52638, 66926, 57427, 56050, 51706, 50827, 51308, 53086, 51869, 50827, 51706, 50827, 51561, 50810, 51099, 50827, 51308, 50827, 51639, 50810, 51906, 50812, 52099, 50882, 51776, 50882, 52366, 50882, 54761, 50808, 52436, 57427, 60979, 51099, 50822, 51516, 67020, 55578, 52843, 51706, 50907, 51561, 50912, 51099, 50912, 51105, 51235, 51728, 51937, 54772, 57427, 55982, 51706, 50822, 51308, 53820, 51869, 50827, 51706, 50827, 51561, 50810, 51099, 50827, 51639, 50810, 51913, 50795, 51683, 50802, 51713, 50802, 52002, 50802, 53128, 50795, 52172, 75540, 55578, 57467, 80062, 51516, 55127, 50812, 64680, 50810, 51144, 50810, 51119, 50810, 63283, 51963, 50846, 51776, 51031, 52372, 50818, 51979, 52816, 59429, 60855, 55624, 68061, 52103, 50828, 51713, 50961, 52851, 50841, 51888, 50883, 51993, 50828, 52113, 50828, 51978, 50828, 52491, 65334, 52719, 50841, 51648, 50883, 52664, 50839, 51683, 50895, 51633, 50841, 51643, 50839, 52228, 50841, 52394, 55926, 51280, 50874, 51153, 50874, 54295, 50839, 51906, 50884, 55912, 50820, 51913, 50818, 51721, 50839, 51643, 50836, 51667, 50820, 53628, 50839, 51978, 50836, 53880, 54763, 54681, 51708, 50844, 51280, 50844, 51144, 50827, 51435, 50827, 51993, 50812, 52172, 55300, 57233, 58910, 51119, 50892, 51578, 50892, 52372, 50812, 52380, 67713, 55237, 53881, 51011, 51116, 54061, 50800, 53786, 51730, 59807, 61150, 57427, 52765, 51280, 50874, 51153, 50874, 53128, 50836, 53493, 53695, 51708, 50844, 51280, 50827, 51144, 50827, 51119, 50827, 51435, 50827, 51993, 50809, 52380, 56247, 55578, 51022, 50434, 52366, 58742, 52002, 54261, 68522, 51776, 50895, 51713, 59653, 51888, 50818, 51648, 53442, 51708, 50810, 51144, 50810, 51119, 50810, 51435, 50810, 61269, 52664, 50901, 51683, 50879, 51643, 50901, 52394, 50901, 51728, 52638, 57488, 57427, 56050, 51280, 50827, 51153, 53086, 51708, 50844, 51280, 50844, 51144, 50827, 51119, 50844, 51435, 50827, 52719, 50805, 51648, 50923, 51633, 50805, 52228, 50805, 51070, 60979, 51119, 50905, 51578, 50905, 51383, 57233, 52843, 55436, 52970, 50805, 52099, 50923, 52200, 50795, 52608, 51428, 59807, 54772, 57427, 55982, 51280, 50810, 51153, 52863, 51706, 50981, 51198, 51115, 51144, 51115, 51096, 51364, 52970, 50889, 52099, 51054, 52200, 50889, 52608, 50889, 51240, 55237, 57467, 51070, 50812, 51528, 59429, 54582, 55442, 59176, 51170, 51835, 51144, 50901, 52103, 50849, 51713, 50806, 51993, 50849, 51978, 75469, 55237, 58910, 51383, 55237, 53881, 51706, 50845, 52664, 50892, 51683, 50805, 51643, 50845, 52394, 50845, 51728, 51937, 61150, 57427, 51628, 51708, 51295, 51280, 51003, 51144, 51310, 51069, 51364, 52719, 50849, 51648, 50806, 51633, 50849, 52228, 50849, 51240, 55237, 60968, 51070, 50844, 51450, 59429, 54772, 55237, 53247, 51144, 50892, 51683, 50901, 52306, 50893, 56056, 50873, 52380, 50873, 51070, 60979, 51383, 57233, 52843, 51708, 50905, 51913, 50845, 52002, 50879, 53128, 50901, 52172, 50901, 51728, 51937, 54772, 55237, 52935, 51706, 50915, 51198, 50981, 51099, 50995, 51443, 50983, 51906, 50805, 52366, 50923, 54761, 50795, 52436, 75540, 55237, 57467, 51070, 50812, 50799, 51913, 50841, 52002, 54162, 59429, 60855, 55442, 68061, 51963, 50839, 51776, 70426, 52103, 50820, 51713, 50818, 52851, 50834, 51888, 55927, 52719, 50834, 51648, 50828, 52664, 50829, 51683, 50841, 51652, 50855, 52228, 67153, 50859, 50418, 54295, 50835, 51906, 50841, 55912, 50825, 51913, 50839, 55282, 50825, 51963, 52761, 51198, 50892, 51099, 50838, 75434, 51275, 50838, 51721, 50844, 51979, 56320, 58910, 51706, 50845, 51633, 50833, 52436, 50379, 52638, 55578, 53881, 65340, 53179, 50812, 53979, 52972, 59807, 55210, 57233, 52765, 52372, 50862, 52833, 54215, 51869, 50845, 51198, 50892, 51099, 50838, 75434, 51275, 50838, 51633, 50836, 52436, 59533, 55578, 60968, 51070, 53614, 62376, 51963, 50901, 51776, 50893, 52372, 50873, 51979, 50873, 51728, 52638, 54772, 55578, 53247, 51198, 50845, 51099, 50905, 75434, 51275, 50838, 51913, 50901, 52002, 50879, 53128, 50901, 52172, 50901, 51070, 60979, 51706, 80241, 55237, 52843, 50927, 51160, 51906, 50845, 52366, 50795, 54761, 50901, 52436, 50901, 51728, 51937, 61150, 55578, 52935, 51869, 50901, 51198, 50892, 51099, 50892, 75434, 51275, 50838, 51683, 50892, 52306, 50805, 56056, 50892, 52380, 50892, 51240, 55578, 57467, 51070, 50812, 65100, 50854, 63676, 51648, 50845, 52991, 50879, 58196, 50854, 52833, 55998, 50806, 51383, 54582 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 6, 42, 765, 2214, 15358, 10, 10064, 19, 63, 1769, 20889, 8, 204, 73, 306, 86, 6543, 4, 16241, 212, 3315, 8, 3459, 8669, 185, 1312, 1289, 6, 4094, 30, 10, 2705, 4811, 9, 21072, 8, 38668, 9590, 4, 8504, 11, 5, 762, 9, 163, 3694, 6, 24, 18, 10, 20902, 2125, 14, 18, 686, 7, 120, 5, 537, 554, 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, 52383, 56750, 50310, 52115, 55750, 58938, 52383, 52152, 66217, 52765, 58417, 51736, 51068, 52390, 66217, 52262, 51383, 51724, 52383, 56750, 50303, 52152, 66217, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 52042, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 50852, 51475, 52085, 52809, 52042, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 64377, 50795, 51366, 54490, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 52042, 50795, 51322, 56750, 50303, 52152, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 50807, 68404, 51428, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52042, 50795, 52998, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 74693, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 59090, 72751, 51475, 52085, 52809, 52383, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 71861, 50795, 51366, 50807, 59090, 52152, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 55750, 50991, 53005, 50800, 69282, 74693, 51322, 52152, 51475, 66217, 52085, 52765, 58417, 51370, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52383, 56750, 50303, 52152, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 52042, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 50852, 51475, 52085, 52809, 52042, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 64377, 50795, 51366, 54490, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 52042, 50795, 51322, 56750, 50303, 52152, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 50807, 68404, 51428, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52042, 50795, 52998, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 74693, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 59090, 72751, 51475, 52085, 52809, 52383, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 71861, 50795, 51366, 50807, 59090, 52152, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 55750, 50991, 53005, 50800, 69282, 74693, 51322, 52152, 51475, 66217, 52085, 52765, 58417, 51370, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52383, 56750, 50303, 52152, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 52042, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 50852, 51475, 52085, 52809, 52042, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 64377, 50795, 51366, 54490, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 52042, 50795, 51322, 56750, 50303, 52152, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 50807, 68404, 51428, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52042, 50795, 52998, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 74693, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 59090, 72751, 51475, 52085, 52809, 52383, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 71861, 50795, 51366, 50807, 59090, 52152, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 55750, 50991, 53005, 50800, 69282, 74693, 51322, 52152, 51475, 66217, 52085, 52765, 58417, 51370, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 52383, 56750, 50303, 52152, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 55456, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366, 50807, 59090, 72751, 51475, 52085, 53504, 51068, 60710, 52085, 51835, 53005, 50800, 69282, 53570, 50795, 51322, 50795, 55750, 72751, 51475, 66217, 52085, 73231, 51475, 52085, 51628, 51209, 52221, 53972, 52390, 51049, 66217, 77993, 66217, 51724, 53570, 56750, 50303, 72751, 51475, 66217, 52085, 77907, 51475, 52085, 51820, 53570, 50795, 51366, 50983, 53005, 50800, 51618, 66217, 51757, 52998, 72751, 51475, 52085, 52809, 53570, 51370, 51475, 66217, 52085, 51754, 50798, 53972, 52390, 53365, 70715, 50799, 53570, 50795, 51366 ]

[ 0, 250, 33928, 8, 33558, 5175, 3495, 2214, 4246, 10, 13305, 6, 38668, 22052, 6, 930, 2233, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 8504, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 33215, 16739, 9, 211, 6, 274, 10431, 119, 6, 163, 6, 8, 3676, 406, 3639, 7, 63, 17627, 17274, 8, 15352, 30054, 2574, 6, 442, 24, 41, 11653, 2365, 1349, 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, 50417, 50631, 56236, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 63055, 54031, 51860, 50866, 51404, 50846, 52074, 53871, 53109, 51404, 50846, 52074, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 53439, 51404, 50846, 52074, 53442, 51512, 50806, 51375, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52398, 54581, 52878, 51119, 50806, 51113, 50893, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 54187, 53528, 51404, 50846, 52074, 53533, 51429, 50806, 51357, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52252, 54581, 52738, 51489, 50896, 51266, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 58249, 54026, 51404, 50846, 52074, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51512, 50896, 51375, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52398, 58249, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51119, 50896, 51113, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 58249, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 51429, 50896, 51357, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52252, 58249, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52738, 52040, 52570, 51232, 52570, 51494, 52570, 51119, 52024, 51266, 53073, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 53073, 50798, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 51860, 50866, 51404, 50846, 52074, 53871, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52738, 51860, 50866, 51404, 50846, 52074, 53871, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 52669, 50866, 51404, 50846, 52074, 53871, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 52413, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 50828, 53061, 52738, 52669, 50866, 51404, 50846, 52074, 54499, 57735, 52023, 54943, 51404, 50846, 52074, 54499, 60112, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 63055, 54031, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51512, 50806, 51375, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52398, 54581, 52878, 51119, 50806, 51113, 50893, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 54187, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51429, 50806, 51357, 50893, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 52252, 54581, 52738, 51489, 50896, 51266, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 58249, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51512, 50896, 51375, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52398, 58249, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52844, 51119, 50896, 51113, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 51701, 58249, 57004, 52023, 54986, 51404, 50846, 52074, 61385, 52023, 53442, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52878, 51429, 50896, 51357, 51016, 51860, 50866, 51404, 50846, 52074, 50846, 52252, 58249, 57013, 52023, 55354, 51404, 50846, 52074, 63865, 52023, 53533, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52738, 51584, 51492, 51902, 52570, 52170, 51732, 52075, 51732, 52040, 52570, 51232, 52570, 51494, 52570, 51119, 52024, 51266, 53501, 51860, 50866, 51404, 50846, 52074, 50846, 52295, 53501, 50798, 57077, 52023, 54943, 51404, 50846, 52074, 61698, 52023, 50846, 70619, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 52981, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51404, 50846, 52074, 60955, 52023, 53855, 60336, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54694, 56939, 52559, 52487, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 52405, 50808, 51404, 50846, 52074, 61385, 52023, 53442, 56939, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54735, 52487, 52711, 52405, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57013, 52023, 55354, 51384, 50808, 51404, 50846, 52074, 63865, 52023, 53533, 56939, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54363, 52487, 52643, 51733, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57077, 52023, 54943, 51905, 50808, 51404, 50846, 52074, 61698, 52023, 50846, 50799, 52487, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 55221, 52405, 52734, 51384, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 58092, 52023, 54579, 51284, 50808, 51404, 50846, 52074, 60955, 52023, 53855, 52405, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54694, 51384, 52559, 51558, 50808, 51860, 50866, 51404, 50846, 52074, 53871, 57004, 52023, 54986, 51600, 50808, 51404, 50846, 52074, 61385, 52023, 53442, 51733, 50808, 51860, 50938, 51350, 50805, 51746, 51116, 51770, 69362, 54735, 51905, 52711, 51284, 50808, 52669, 50866, 51404, 50846, 52074, 65163, 61722, 52023, 55354, 51266, 50808, 51404, 50846, 52074, 65163, 66119, 52023, 53533, 51384, 50808, 52413, 50938, 51350, 50805, 51746, 51116, 51770, 51116, 51224, 56246, 51558, 52643, 51629, 50808, 52669, 50866, 51404, 50846, 52074, 71686, 61612, 52023, 54943, 51266, 50808, 51404, 50846, 52074, 61698, 52023, 50846, 50799, 51512, 51274, 51266, 51141, 51875, 51141, 52398, 51141, 52295, 57394, 60008, 50825, 63810, 50889, 72008, 57908, 62527, 50805, 50661, 50344, 54259, 51494, 51274, 51266, 51141, 52426, 51141, 52582, 51141, 52295, 57394, 60008, 50825, 58749, 50889, 80215, 58141, 62527, 50805, 50661, 50344, 54230, 51232, 51685, 51266, 53363, 52593, 53363, 52091, 53363, 52295, 53363, 50798, 60008, 50825, 56318, 53363, 66076, 53380, 57752, 52944, 60712, 52472, 52872, 55655, 52472, 53575, 52929, 50896, 52778, 50896, 57473, 50896, 53008, 55633, 50825, 51450, 53114, 52929, 51274, 53629, 51274, 54513, 51274, 52812 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 2060, 538, 6, 4246, 10, 15352, 30054, 13305, 516, 81, 10, 1769, 204, 73, 306, 20889, 6, 19, 10, 11602, 9, 15073, 24018, 5, 1374, 1372, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51050, 56798, 59223, 60449, 51050, 61840, 50811, 50931, 52968, 51050, 56798, 59223, 59898, 51050, 61840, 50811, 50951, 52952, 51050, 56798, 69854, 50993, 50446, 51050, 61840, 52768, 51050, 56798, 65531, 59868, 51050, 61840, 50811, 51147, 50811, 57497, 75465, 59223, 60449, 51360, 50811, 51040, 50811, 50931, 51973, 51360, 75465, 59223, 57925, 50951, 56861, 51360, 50811, 51040, 50811, 50951, 53925, 51360, 75465, 69854, 61409, 51360, 50811, 51040, 50811, 51147, 52116, 51360, 75465, 65531, 59868, 51360, 50811, 51040, 50811, 62721, 55881, 67898, 65531, 60449, 51197, 69990, 50811, 51081, 51973, 51197, 67898, 69854, 59898, 51197, 69990, 50811, 50931, 52057, 51197, 67898, 60253, 50993, 50446, 51197, 69990, 52768, 51197, 67898, 69854, 59868, 51197, 69990, 50811, 66740, 57497, 75465, 69854, 60449, 51360, 50811, 51040, 50811, 51147, 51973, 51360, 75465, 60253, 59898, 51360, 50811, 51040, 50811, 51001, 52057, 51360, 75465, 59223, 50993, 50446, 51360, 50811, 51040, 55059, 51001, 52116, 51360, 75465, 69854, 59154, 51147, 58150, 51360, 50811, 51040, 50811, 62678, 54197, 56798, 59223, 60449, 51050, 61840, 50811, 50931, 52968, 51050, 56798, 59223, 59898, 51050, 61840, 50811, 50951, 52952, 51050, 56798, 69854, 50993, 50446, 51050, 61840, 52768, 51050, 56798, 65531, 59868, 51050, 61840, 50811, 51147, 50811, 57497, 75465, 59223, 60449, 51360, 50811, 51040, 50811, 50931, 51973, 51360, 75465, 59223, 57925, 50951, 56861, 51360, 50811, 51040, 50811, 50951, 53925, 51360, 75465, 69854, 61409, 51360, 50811, 51040, 50811, 51147, 52116, 51360, 75465, 65531, 59868, 51360, 50811, 51040, 50811, 62721, 55881, 67898, 65531, 60449, 51197, 69990, 50811, 51081, 51973, 51197, 67898, 69854, 59898, 51197, 69990, 50811, 50931, 52057, 51197, 67898, 60253, 50993, 50446, 51197, 69990, 52768, 51197, 67898, 69854, 59868, 51197, 69990, 50811, 51147, 50803, 54197, 56798, 65531, 60449, 51050, 61840, 50811, 51081, 51973, 51050, 56798, 64244, 59898, 51050, 61840, 50811, 51399, 52057, 51050, 56798, 64244, 50993, 50446, 51050, 61840, 55059, 51081, 52116, 51050, 56798, 69854, 59868, 51050, 61840, 50811, 62678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3152, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 30587, 29589, 6, 18558, 18046, 6, 21072, 6, 3459, 9590, 6, 8, 21979, 8669, 4, 20, 20889, 16, 278, 23, 41, 20425, 12447, 1001, 11, 204, 73, 306, 86, 6, 8, 5, 762, 16, 230, 538, 4, 20, 33215, 16739, 9, 381, 6, 272, 6, 274, 6, 381, 6, 272, 31473, 41, 9066, 8, 8728, 619, 7, 42, 1349, 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 ]

[ 54458, 51688, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 62193, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 62193, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 62193, 59627, 51077, 52041, 52024, 51584, 52024, 50420, 51217, 55363, 54243, 50946, 56678, 69508, 51217, 55363, 53912, 51688, 59627, 51264, 50444, 51217, 55363, 55082, 50946, 56678, 51077, 50456, 51217, 55363, 51077, 62193, 63650, 64739, 51217, 56678, 51077, 62810, 55363, 69508, 51217, 59627, 61086, 51688, 59092, 51264, 50444, 51217, 56678, 51264, 50450, 50946, 55363, 51077, 50456, 51217, 59627, 50889, 74015, 68155, 51077, 51783, 51264, 51722, 63560, 51164, 58541, 54243, 51037, 60771, 69508, 51164, 58541, 53912, 52021, 68155, 63883, 51164, 58541, 55082, 51037, 60771, 51077, 50456, 51164, 58541, 50889, 74015, 68155, 51077, 52123, 51264, 51555, 63560, 51171, 58580, 54243, 50988, 57486, 69508, 51171, 58580, 53912, 52021, 68155, 51623, 50444, 51171, 58580, 66336, 50988, 57486, 52961, 51037, 60771, 50889, 60652, 51538, 51278, 51538, 51046, 68801, 60105, 50889, 51785, 78907, 51553, 63692, 51553, 57050, 51553, 59955, 51553, 53705, 51553, 58322, 51553, 56579, 51553, 58566, 51553, 53891, 51456, 63608, 51456, 58545, 51456, 59503, 51456, 54305, 51456, 59137, 51456, 56518, 51456, 58432, 51456, 54086, 72218, 60993, 51046, 53769, 60105, 50889, 51785, 50889, 60652, 51264, 51278, 51264, 51046, 61113, 60105, 50889, 51785, 51264, 50426, 51224, 63692, 51224, 57050, 51224, 59955, 51224, 53705, 51224, 58322, 51224, 56579, 51224, 58566, 51224, 53891, 51326, 63608, 51326, 58545, 51326, 59503, 51326, 54305, 51326, 59137, 51326, 56518, 51326, 58432, 51326, 54086, 51326, 64703, 51326, 57168, 51326, 62802, 51326, 54199, 50804, 50808, 52198, 50808, 50799, 51611, 51264, 51222, 51264, 51348, 61113, 51264, 51206, 51264, 52237, 51264, 51632, 51264, 50799, 51611, 51538, 51222, 51538, 51063, 68801, 51264, 51206, 51264, 52237, 51264, 51598, 51264, 50450, 73445, 60652, 51538, 51278, 51538, 51046, 68801, 60105, 50889, 51785, 78907, 51553, 63692, 51553, 57050, 51553, 59955, 51553, 53705, 51553, 58322, 51553, 56579, 51553, 58566, 51553, 53891, 51456, 63608, 51456, 58545, 51456, 59503, 51456, 54305, 51456, 59137, 51456, 56518, 51456, 58432, 51456, 54086, 72218, 60993, 51046, 53769, 60105, 50889, 51785, 50889, 60652, 51264, 51278, 51264, 51046, 61113, 60105, 50889, 51785, 51264, 50426, 51224, 63692, 51224, 57050, 51224, 59955, 51224, 53705, 51224, 58322, 51224, 56579, 51224, 58566, 51224, 53891, 51326, 63608, 51326, 58545, 51326, 59503, 51326, 54305, 51326, 59137, 51326, 56518, 51326, 58432, 51326, 54086, 51326, 64703, 51326, 57168, 51326, 62802, 51326, 54199, 50804, 50808, 52198, 50808, 50799, 51611, 51264, 51222, 51264, 51348, 61113, 51264, 51206, 51264, 52237, 51264, 51632, 51264, 50799, 51611, 51538, 51222, 51538, 51063, 68801, 51264, 51206, 51264, 52237, 51264, 51598, 51264, 50450, 73445, 50799, 51219, 50910, 51296, 51095, 51046, 51095, 52243, 50411, 51206, 53090, 51335, 53090, 51785, 52024, 50418, 51219, 60853, 51296, 50910, 74316, 51219, 56382, 51219, 50910, 51296, 51095, 51046, 51095, 50430, 51219, 58877, 51296, 50910, 74316, 51219, 56983, 51219, 50910, 51296, 51095, 51046, 51095, 50442, 51219, 64482, 51296, 50910, 74316, 51219, 57006, 51348, 50910, 51344, 50910, 51296, 51095, 50454, 74316, 51219, 62990, 51296, 50910, 65474, 73492, 50799, 51219, 50910, 51296, 51095, 51046, 51095, 50418, 51219, 60853, 51296, 50910, 74316, 51219, 56382, 51219, 50910, 51296, 51095, 51046, 51095, 50430, 51219, 58877, 51296, 50910, 74316, 51219, 56983, 51219, 50910, 51296, 51095, 51046, 51095, 51335, 63608, 51335, 58545, 51335, 63397, 51219, 50910, 50443, 51335, 54305, 51335, 60812, 51296, 50910, 74316, 51219, 50910, 51335, 56518, 51335, 60062, 51335, 54086, 74316, 51219, 50910, 51296, 51095, 51335, 66056, 51335, 57168, 51335, 61192, 51219, 50910, 50455, 51335, 54199, 51335, 61996, 51296, 50910, 74316, 51219, 50910, 51335, 57400, 51335, 59854, 51335, 50857, 50799, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 79171, 51335, 59240, 51335, 65149, 51143, 50910, 50419, 51335, 54657, 51335, 60342, 51386, 50910, 65474, 51143, 50910, 51335, 56133, 51335, 60811, 51335, 53383, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 66765, 51335, 57050, 51335, 60155, 51143, 50910, 50431, 51335, 53705, 51335, 59880, 51386, 50910, 65474, 51143, 50910, 51335, 56579, 51335, 59701, 51335, 53891, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 67203, 51335, 58545, 51335, 63397, 51143, 50910, 50443, 51335, 54305, 51335, 60812, 51386, 50910, 65474, 51143, 50910, 51335, 56518, 51335, 60062, 51335, 54086, 51143, 50910, 51386, 51095, 51063, 51095, 51335, 66056, 51335, 57168, 51335, 61192, 51143, 50910, 50455, 51335, 54199, 51335, 61996, 51386, 50910, 65474, 51143, 50910, 51335, 57400, 51335, 59854, 51335, 50857, 50799, 51348, 50910, 51611, 51095, 51222, 51095, 50418, 51348, 60853, 51611, 76332, 50910, 51348, 56382 ]

[ 0, 713, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 16, 10, 15352, 30054, 8, 33558, 2125, 14, 7630, 6568, 10, 3366, 219, 6, 2365, 5466, 4, 85, 1575, 41, 27636, 3344, 9, 9571, 6, 217, 41, 21979, 8669, 6, 32909, 6, 10170, 1499, 6, 2236, 1021, 2678, 29, 6, 8, 17465, 102, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 19, 5, 40286, 163, 428, 8, 274, 406, 442, 12577, 4961, 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 ]

[ 56103, 50437, 50632, 50796, 60859, 52600, 50903, 50820, 60859, 50820, 51768, 52600, 50903, 52725, 51723, 50795, 51485, 62355, 51723, 50841, 51485, 50841, 69494, 50961, 51485, 50887, 54017, 50894, 51988, 50837, 51666, 50825, 51691, 50837, 51186, 55024, 51437, 57639, 52532, 56127, 51988, 50863, 51666, 50835, 51691, 52300, 52944, 51037, 56814, 66307, 50887, 51988, 50917, 51666, 50924, 51691, 52744, 53607, 53109, 53689, 50828, 52334, 52245, 52641, 53689, 50840, 52334, 50836, 55129, 50894, 51988, 50886, 51666, 50829, 51691, 50829, 50945, 54698, 51239, 52702, 53934, 52502, 54974, 51988, 50886, 76271, 51691, 52543, 53031, 53689, 50846, 52334, 50828, 51037, 63694, 62269, 50890, 51988, 50910, 51666, 50940, 51691, 55043, 53607, 50825, 53198, 52742, 53689, 50887, 52334, 50818, 54017, 50894, 51988, 50829, 51666, 50820, 75366, 51186, 55024, 51437, 53607, 54905, 51988, 50904, 51666, 50829, 51691, 52373, 53114, 53689, 50809, 52334, 50884, 51037, 69993, 71260, 50961, 51988, 50910, 51666, 50940, 51691, 55110, 53607, 53528, 50913, 52743, 51723, 50883, 51485, 50961, 55129, 50962, 51988, 50835, 51666, 50820, 51691, 50834, 50945, 55714, 51239, 52702, 53934, 52502, 54781, 51988, 50835, 51666, 50834, 51691, 52703, 53217, 51485, 50883, 51509, 50930, 54017, 50962, 51037, 63694, 70336, 50884, 51988, 50830, 51666, 50924, 51691, 50917, 51186, 52374, 53607, 50825, 53341, 50825, 64996, 50976, 52067, 51173, 53942, 50962, 51873, 50834, 52393, 50837, 52183, 50818, 72449, 51133, 55461, 51437, 52087, 56127, 51873, 50904, 64718, 51691, 52532, 52944, 55129, 50962, 50946, 50887, 50979, 50962, 50872, 50883, 51873, 50937, 52183, 50952, 51691, 50830, 50945, 52374, 52087, 53109, 51641, 50840, 51579, 55063, 52641, 51485, 50890, 51509, 50890, 55216, 50962, 51873, 50834, 64718, 51691, 50820, 50953, 55714, 51239, 51695, 53934, 52502, 54974, 52183, 50834, 51873, 50837, 51691, 52543, 53031, 51431, 50940, 51641, 50921, 56435, 50962, 50946, 50887, 50979, 50962, 50872, 50890, 51873, 50878, 52183, 50910, 51691, 50897, 51011, 52374, 52087, 50825, 53198, 52742, 51723, 50882, 51485, 50950, 54017, 50962, 51037, 51010, 50848, 51031, 50872, 50949, 51988, 50887, 51666, 50884, 51691, 70737, 55461, 51437, 52087, 50825, 53491, 75164, 52087, 53528, 50913, 52743, 55129, 50962, 51164, 59274, 51379, 52498, 51100, 51691, 50991, 52077, 51286, 52088, 51505, 52086, 51192, 50945, 55714, 51239, 51695, 53934, 52502, 50825, 54599, 50825, 51453, 52087, 54026, 52088, 50880, 52086, 50962, 52077, 54497, 50825, 50799, 54017, 50962, 51988, 50820, 76271, 64327, 52077, 50803, 52086, 50803, 52088, 50803, 51186, 55461, 51437, 57639, 52532, 56127, 51691, 52300, 52944, 51037, 63694, 51031, 50872, 50895, 51988, 50800, 51666, 50859, 51691, 52189, 53607, 53109, 50913, 59768, 52517, 51031, 55161, 50817, 52088, 60517, 52088, 56382, 55129, 50962, 51988, 50837, 51691, 50829, 51666, 50835, 52517, 50800, 55161, 50808, 50945, 55714, 51239, 52702, 53934, 52502, 54974, 51988, 50837, 51666, 50834, 51691, 52535, 53031, 51037, 65003, 62925, 50883, 51666, 50952, 51988, 50897, 51691, 50830, 52088, 50880, 55161, 50880, 52517, 51130, 53607, 50825, 53198, 52742, 54017, 50962, 51988, 50837, 51666, 50820, 51691, 50829, 55161, 50890, 52088, 50890, 52517, 50883, 51186, 55461, 51437, 53607, 54905, 51988, 50825, 51666, 50834, 51691, 52535, 53114, 51037, 65810, 70336, 50895, 51988, 50917, 51666, 50940, 51691, 50910, 55161, 50890, 52088, 50890, 52517, 51135, 53607, 53528, 50913, 52743, 55129, 50962, 51666, 50834, 51691, 50834, 51988, 50835, 52517, 50895, 52088, 50883, 52077, 50930, 50945, 55714, 51239, 52702, 53934, 52502, 54781, 51988, 50835, 51666, 50834, 51691, 52543, 53217, 54017, 50962, 50872, 50961, 51037, 65003, 50961, 51988, 50910, 51666, 50924, 51691, 50865, 52088, 50961, 52077, 50817, 52086, 50949, 51186, 52374, 53607, 50825, 53341, 50825, 50799, 53942, 50894, 51873, 50825, 52183, 50835, 51691, 50829, 51882, 51460, 51855, 51427, 52561, 50993, 51133, 55024, 51437, 52087, 56127, 51873, 50870, 52183, 50837, 51691, 52373, 52944, 50946, 66846, 61387, 50884, 51873, 50937, 52183, 50940, 51691, 52744, 52087, 53109, 50913, 52641, 55129, 50962, 51873, 50863, 52183, 50829, 51691, 50825, 51813, 50880, 52914, 50930, 52077, 50949, 50945, 55714, 51239, 51695, 53934, 52502, 54974, 51873, 50863, 52183, 50820, 51691, 52373, 53031, 50946, 72138, 71260, 50895, 51873, 50937, 52183, 50940, 51691, 52744, 52087, 57004, 52088, 50961, 51855, 50961, 52086, 50949, 52655, 50839, 53198, 52742, 53942, 50962, 51873, 50825, 64718, 51691, 50834, 51133, 55461, 51437, 52087, 56819, 51855, 51552, 53216, 51552, 51882, 51761, 50441, 51873, 50837, 64718, 51691, 52543, 53114, 50946, 50887, 50979, 61387, 50895, 51873, 50866, 52183, 50948, 51691, 52744, 52087, 53528, 50913, 52743, 55129, 50962, 51873, 50870, 52183, 50829, 51691, 50837, 50945, 55714, 51239, 51695, 53934, 52502, 54781, 51873, 51004, 52183, 50829, 51691, 52300, 53217, 50946, 72583, 51031, 50872, 50883, 51873, 50917, 52183, 50940, 51691, 50940, 52393, 51539, 52087, 50825, 53341, 50825, 50799, 53942, 50962, 51873, 50870, 52183, 50834, 51691, 50825, 51133, 55461, 51437, 52087, 55916, 51882, 50975, 51855, 50975, 52561, 50976, 50417, 52183, 50829, 51873, 51004, 51691, 52680, 52944, 50946, 72583, 51031, 50872, 51010, 51873, 50897, 52183, 50952, 51691, 55110, 52087, 53109, 50913, 52641, 55129, 50962, 51873, 50908, 52183, 50820, 51691, 50825, 50945, 55714, 51239, 51695, 53934, 52502, 58245, 51813, 50949, 52077, 50949, 52914, 50949, 52642, 55739, 51873, 50837, 52183, 50834, 51691, 52373, 53031, 50946, 72583, 51031, 50872, 50883, 51873, 50917, 52183, 51030, 51691, 50921, 52077, 50962, 52642, 50818, 52088, 50809, 51813, 51179, 52087, 57004, 52086, 50884, 53198, 52742, 53942, 50962, 51873, 50863, 52183, 50820, 51691, 50835, 51133, 55461, 51437, 52087, 56819, 51882, 51364, 53216, 51029, 51855, 51761, 52077, 51031, 52655, 56650, 51873, 50908, 52183, 50835, 51691, 52300, 53114, 55129, 50962, 50946, 50883, 50979, 62925, 50883, 51873, 50937, 52183, 50921, 52393, 50870, 51691, 50940, 50945, 52374, 52087, 53528, 50913, 52743, 55216, 50894, 52183, 50829, 51691, 50834, 51873, 50891, 50953, 54698, 51239, 51695, 53934, 52502, 54781, 51873, 50891, 52183, 50829, 51691, 52543, 53217, 56435, 50962, 50946, 50883, 50979, 62925, 50949, 51873, 50925, 52183, 50952, 51691, 50830, 51011, 52374, 52087, 50825, 53341, 50825, 50799, 54017, 50962, 51988, 50870, 51666, 50825, 51691, 50825, 51186, 55461, 51437, 52087, 55916, 52914, 51427, 51813, 51160, 51855, 51460, 53214, 52944, 51037, 70689, 71260, 50961, 51988, 50917, 51666, 50938, 51691, 56022, 52087, 53109, 50913, 52641, 55129, 50962, 51988, 50837, 51666, 50835, 51691, 50835, 50945, 55714, 51239, 51695, 53934, 52502, 58245, 52088, 50880, 52086, 50930, 52077, 54396, 51988, 50908, 51666, 50837, 51691, 52300, 53031, 51037, 70336, 65003, 50949, 51988, 50917, 51666, 50952, 51691, 55110, 52087, 57004, 51855, 50808, 51882, 50812, 53216, 50809, 53198, 52742, 54017, 50962, 51988, 50863, 51666, 50835, 51691, 50835, 51186, 55461, 51437, 52087, 56819, 52517, 51388, 52088, 50976, 52077, 51354, 50441, 51988, 50863, 51666, 50825, 51691, 52300, 53114, 51037, 69914, 71260, 50961, 51988, 50910, 51666, 50940, 51691 ]

[ 0, 250, 8787, 5175, 15229, 11, 211, 3694, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 38668, 9590, 6, 38668, 483, 6, 8, 21072, 6, 30853, 23, 10, 7212, 20889, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 52, 9419, 561, 15352, 30054, 8, 20425, 4785, 6, 150, 67, 7630, 14805, 10, 1472, 9, 26545, 8, 12577, 15073, 4, 20, 33215, 16739, 9, 211, 119, 6, 230, 10431, 37152, 6, 211, 119, 6, 8, 83, 406, 3872, 4668, 1328, 6, 1271, 7, 63, 13363, 28191, 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 ]

[ 54458, 50796, 50796, 78936, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 51210, 50939, 51210, 51007, 51210, 50420, 50847, 51126, 50939, 51126, 51007, 64367, 51699, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 52518, 50939, 52518, 51007, 52518, 50432, 52776, 53601, 51699, 56082, 51299, 56082, 51491, 56082, 51113, 56082, 51093, 56082, 50944, 57771, 50850, 57771, 50909, 57771, 50953, 52737, 50796, 78936, 50882, 51299, 50882, 51491, 50882, 51113, 50882, 51093, 69542, 51210, 65580, 50909, 51210, 50953, 52410, 50944, 51126, 50850, 51126, 50909, 64367, 51699, 50882, 51299, 50882, 51491, 50882, 51113, 50882, 51093, 69542, 52518, 50850, 52518, 50909, 52518, 50953, 52030, 52776, 57676, 51699, 56082, 51638, 56082, 51251, 56082, 51088, 56082, 51165, 56082, 50848, 57771, 50847, 57771, 50939, 57771, 50953, 52737, 50796, 78936, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 51210, 50939, 51210, 51007, 51210, 50953, 52410, 50847, 51126, 50939, 51126, 51007, 64367, 51699, 50882, 51251, 50882, 51088, 50882, 51165, 50882, 51107, 61646, 52518, 50939, 52518, 51007, 52518, 50953, 52030, 52776, 53601, 51699, 56082, 51299, 56082, 51491, 56082, 51113, 56082, 51093, 56082, 50944, 57771, 50850, 57771, 50909, 57771, 50953, 52737, 50796, 78936, 50882, 51251, 50882, 51491, 50882, 51113, 50882, 51093, 69542, 51210, 65580, 50909, 51210, 50953, 52410, 50944, 51126, 50850, 51126, 50909, 64367, 51699, 50882, 51251, 50882, 51491, 50882, 51113, 69542, 52518, 50850, 52518, 50909, 52518, 50953, 52030, 52776, 57676, 51699, 57676, 51638, 57676, 51251, 57676, 51088, 57676, 50848, 57771, 50847, 57771, 50939, 57771, 50953, 52737, 50796, 50799, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 55850, 55146, 50823, 51402, 59608, 50962, 52399, 55155, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53955, 54300, 52197, 54300, 52253, 54300, 50953, 52737, 50843, 59533, 50930, 51556, 62468, 56341, 69158, 66215, 72537, 50843, 62073, 55146, 50823, 54268, 50836, 54032, 55932, 66697, 72361, 69693, 52574, 51586, 56604, 50944, 51642, 80134, 50909, 51642, 50843, 59453, 56606, 50823, 54710, 54583, 50852, 56247, 54871, 51240, 50811, 71755, 57248, 62707, 61724, 62073, 55719, 50823, 51402, 50840, 52399, 55155, 70257, 74501, 50909, 58043, 68194, 56667, 72745, 67555, 50909, 61551, 62073, 55060, 50823, 53764, 53810, 50848, 52347, 50310, 61886, 51074, 51340, 51613, 61023, 50843, 62468, 60364, 50944, 51051, 74365, 50909, 51051, 50843, 62073, 55719, 50823, 51572, 50836, 54032, 55932, 69082, 61859, 50909, 57323, 59453, 57887, 50944, 51381, 50850, 51381, 50909, 51381, 50843, 59453, 52279, 50823, 54710, 54583, 74502, 50799, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 55850, 55146, 50823, 53440, 59608, 79621, 55155, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53367, 54484, 52464, 54484, 52685, 54484, 50953, 52737, 51340, 51613, 61023, 50843, 62468, 56341, 62832, 50939, 51174, 51007, 51174, 50843, 62073, 55146, 50823, 54268, 50836, 51180, 55932, 60697, 70492, 51007, 55681, 59453, 56604, 50847, 51309, 50939, 51309, 51007, 51309, 50843, 59453, 56606, 50823, 54710, 50855, 51453, 56247, 54871, 50843, 67822, 50811, 64170, 63666, 67814, 55468, 62073, 55719, 50823, 53440, 71417, 55155, 63413, 50939, 50904, 51007, 58043, 68194, 56667, 63413, 50939, 50904, 51007, 58043, 62073, 55060, 50823, 53764, 53810, 57884, 57578, 50939, 56395, 59533, 61023, 69370, 50939, 51589, 62468, 60364, 64957, 70991, 51007, 67600, 62073, 55719, 50823, 54268, 50836, 54032, 55932, 50847, 51126, 50939, 51126, 51007, 51126, 52574, 51586, 57887, 50847, 52011, 50939, 52011, 51007, 52011, 50843, 59453, 52279, 50823, 54710, 54583, 74502, 50799, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 55850, 55146, 50823, 51402, 59608, 50962, 52399, 55155, 52464, 50858, 52685, 50858, 52107, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53955, 54300, 52197, 54300, 52253, 54300, 50953, 52737, 50843, 59533, 50930, 51556, 62468, 56341, 69158, 66215, 72537, 50843, 62073, 55146, 50823, 54268, 50836, 54032, 55932, 66697, 72361, 69693, 52574, 51586, 56604, 50944, 51642, 80134, 50909, 51642, 50843, 59453, 56606, 50823, 54710, 54583, 50852, 56247, 54871, 51240, 50811, 71755, 57248, 62707, 61724, 62073, 55719, 50823, 51402, 50840, 52399, 55155, 70257, 74501, 50909, 58043, 68194, 56667, 72745, 67555, 50909, 61551, 62073, 55060, 50823, 53764, 53810, 50848, 52347, 50310, 61886, 51074, 51340, 51613, 61023, 50843, 62468, 60364, 50944, 51051, 74365, 50909, 51051, 50843, 62073, 55719, 50823, 51572, 50836, 54032, 55932, 69082, 61859, 50909, 57323, 59453, 57887, 50944, 51381, 50850, 51381, 50909, 51381, 50843, 59453, 52279, 50823, 54710, 54583, 74502, 50799, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 55850, 55146, 50823, 53440, 59608, 79621, 55155, 53955, 50858, 52197, 50858, 52253, 50858, 50953, 53025, 68194, 50962, 55057, 62073, 56106, 50823, 53764, 53810, 53367, 54484, 52464, 54484, 52685, 54527, 50953, 52737, 51340, 51613, 61023, 50843, 62468, 56341, 62832, 50939, 51174, 51007, 51174, 50843, 62073, 55146, 50823, 54268, 50836, 51180, 55932, 60697, 70492, 51007, 55681, 59453, 56604, 50847, 51309, 50939, 51309, 51007, 51309, 50843, 59453, 56606, 50823, 54710, 50855, 51453, 56247, 54871, 50843, 67822, 50811, 64170, 63666, 67814, 55468, 62073, 55719, 50823, 53440, 71417, 55155, 63413, 50939, 50904, 51007, 58043, 68194, 56667, 63413, 50939, 50904, 51007, 58043, 62073, 55060, 50823, 53764, 53810, 57884, 57578, 50939, 56395, 59533, 61023, 69370, 50939, 51589, 62468, 60364, 64957, 70991, 51007, 67600, 62073, 55719, 50823, 54268, 50836, 54032, 55932, 50847, 51126, 50939, 51126, 51007, 51126, 52574, 51586, 57887, 52685, 51354, 50847, 52011, 50939, 52011, 51007, 52011, 50843, 59453, 52279, 50823, 54710, 54583, 50852, 58839, 52253, 57841, 52107, 68789, 53761, 50949, 50799, 52685, 51295, 52544, 50949, 50953, 55940, 55850, 55146, 50823, 50416, 52730, 51454, 51402, 59608, 50962, 52399, 55155, 50843, 68194, 56667, 51701, 54484, 53761, 51388, 52053, 54328, 62073, 56106, 50823, 53764, 53810, 51716, 54484, 52197, 53259, 52544, 56769, 50953, 52737, 50843, 59533, 50930, 51556, 62468, 56341, 52547, 54484, 50843, 62073, 55146, 50823, 54268, 50836, 54032, 50836, 51618, 59453, 56604, 50843, 59453, 56606, 50823, 54710, 54583, 50852, 56247, 54871, 51240, 50811, 55986, 62073, 55719, 50823, 51402, 50840, 52399, 55155, 50843, 68194, 50962, 55057, 62073, 55060, 50823, 53764, 53810, 51340, 51613, 61023, 50843, 62468, 51010, 57315, 62073, 55719, 50823, 51572, 50836, 54032, 55932, 50843, 59453, 57887, 52253, 59434, 59453, 52279, 50823, 54710, 54583, 52107, 50923, 50945, 53547, 50809, 50799, 52685, 51183, 53761, 50923, 79388, 50843, 55850, 55146, 50823, 53440, 59608, 57188, 52544, 62003, 55155, 50843, 68194, 56667, 51821, 54484, 50843, 62073, 56106, 50823, 53764, 53810, 52072, 54484, 52107, 56073, 51186, 50823, 51340, 51613, 61023, 50843, 62468, 56341, 52009, 54484, 52685, 53651, 50953, 52737, 50843, 62073, 55146, 50823, 54268, 50836, 51180, 55932, 50843 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 11739, 9, 3459, 9590, 6, 13305, 6, 21072, 6, 20535, 2810, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 5723, 10, 33928, 8, 2365, 16464, 4, 20, 33215, 13931, 9, 272, 401, 6, 274, 401, 6, 8, 272, 406, 3639, 7, 63, 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, 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, 55760, 51090, 50843, 52432, 51964, 56828, 51964, 51566, 51706, 50812, 51232, 50808, 51099, 51620, 50801, 57469, 51708, 51060, 51280, 51158, 51198, 51158, 51144, 53505, 51964, 56341, 53038, 51055, 51869, 51343, 51706, 51141, 51280, 51141, 51232, 51141, 50843, 53035, 52537, 69209, 59426, 53366, 50894, 50799, 55760, 51090, 50843, 52432, 51964, 62231, 51964, 50930, 51706, 50952, 51232, 50800, 51099, 53950, 51964, 58546, 58288, 51708, 50849, 51280, 50795, 51198, 50805, 51144, 52605, 51964, 55310, 51964, 54459, 53038, 50890, 51869, 51472, 51706, 51291, 51280, 51291, 51232, 51291, 50843, 53044, 53038, 63556, 52763, 52537, 54273, 54210, 53366, 50911, 50799, 55760, 51090, 50843, 53829, 51964, 58980, 51964, 51566, 51706, 50812, 51232, 50808, 51099, 51620, 50801, 58288, 51708, 51060, 51280, 51060, 51198, 51060, 51144, 53505, 51964, 54459, 53038, 51055, 51869, 51364, 51706, 51141, 51280, 51141, 51232, 51141, 50843, 52616, 50843, 52743, 52537, 51238, 50801, 59426, 53366, 50894, 50799, 55760, 65030, 52432, 51964, 59214, 51964, 50880, 51706, 50830, 51232, 78112, 51620, 51964, 58546, 55212, 51708, 50805, 51280, 50795, 71726, 51144, 53308, 51964, 55782, 51964, 56341, 53038, 50890, 51869, 51472, 51706, 51291, 51280, 51472, 51232, 51472, 50843, 53041, 53038, 70146, 55254, 52537, 56795, 55891, 53366, 50806, 52534, 51483, 55760, 66556, 53971, 51139, 53203, 51964, 51130, 53109, 51133, 50840, 51964, 51055, 51706, 50812, 51232, 50808, 51099, 60213, 67937, 68180, 51185, 50821, 65719, 54013, 51133, 50952, 51708, 51060, 51280, 51173, 51198, 51158, 79632, 51089, 50865, 50430, 51023, 50940, 51092, 50940, 51361, 54034, 50964, 50883, 51964, 60958, 51224, 54968, 51186, 51090, 53038, 51566, 51869, 51343, 51706, 51141, 51280, 51364, 51232, 51141, 51557, 50893, 51089, 50924, 51020, 50806, 52453, 73816, 60044, 51326, 55254, 51011, 51286, 52537, 51235, 55605, 50828, 51453, 54991, 76077, 53366, 50882, 52534, 51160, 55760, 51090, 52321, 53403, 51964, 51864, 54604, 51133, 50880, 51964, 50930, 51706, 50952, 51232, 50800, 51099, 50858, 61012, 50424, 51193, 50882, 51185, 52422, 51964, 50897, 55605, 54929, 51133, 50894, 51708, 50805, 51280, 50795, 68946, 79632, 51089, 50938, 50430, 51023, 65367, 57359, 51964, 50836, 75596, 50964, 50883, 51964, 75031, 51224, 53294, 51186, 50882, 53038, 50890, 51869, 51291, 51706, 51291, 51280, 51472, 51232, 51472, 51557, 50893, 51089, 50865, 51020, 50893, 51897, 52875, 51186, 51030, 53038, 50921, 51842, 50448, 51326, 53711, 79861, 52537, 50806, 53659, 52579, 50953, 51030, 53366, 50911, 51931, 52534, 51483, 55760, 50896, 51897, 53403, 51964, 51130, 53899, 51133, 50840, 51964, 51454, 51706, 50812, 51232, 50800, 51099, 60213, 71299, 51193, 50882, 51185, 50882, 74334, 54660, 51133, 50940, 51708, 51111, 51280, 51060, 51198, 51060, 79632, 51089, 50938, 50430, 51023, 50952, 51092, 50921, 51361, 54034, 50964, 50961, 51964, 60958, 51224, 53294, 51186, 51090, 53038, 51055, 51869, 51343, 51706, 51141, 51280, 50983, 51232, 51141, 51557, 50893, 51089, 50865, 51020, 50893, 52321, 73816, 60411, 51326, 53711, 51011, 51286, 52537, 51238, 55605, 50841, 51453, 54794, 76077, 53366, 50882, 52534, 51160, 55760, 51090, 51897, 53403, 51964, 51864, 54604, 51133, 50880, 51964, 50962, 51706, 50952, 51232, 50800, 51099, 60213, 67937, 51193, 50882, 51185, 54856, 51964, 50910, 56319, 54883, 51133, 50894, 51708, 50849, 51280, 50805, 51198, 50805, 79632, 51089, 50865, 50430, 51023, 50952, 51092, 57748, 51964, 50836, 67491, 50964, 50949, 51964, 75031, 51224, 55622, 51186, 50882, 53038, 50887, 51869, 51472, 51706, 51291, 51280, 51291, 51232, 51291, 51557, 50806, 51089, 50865, 51020, 50806, 51897, 52875, 51186, 51030, 53038, 51033, 51468, 50448, 51326, 53711, 79861, 52537, 50806, 53659, 53268, 60357, 53310, 51055, 53366, 50806, 51471, 52534, 51354, 55760, 51090, 51897, 53403, 53789, 50910, 51964, 51139, 53109, 51133, 50809, 51964, 51454, 51706, 50833, 51232, 50808, 78891, 51061, 67937, 68180, 51185, 52422, 53789, 50911, 54680, 54660, 51133, 50952, 51708, 51060, 51280, 51158, 51198, 51158, 79632, 51089, 50865, 50430, 51023, 50952, 51092, 57748, 54607, 51044, 53439, 50964, 50949, 54607, 51175, 51964, 60958, 51224, 54968, 51186, 50896, 53038, 51290, 51869, 51364, 51706, 50983, 51280, 50983, 51232, 50983, 51557, 50893, 51089, 50865, 51020, 50893, 52321, 52616, 53138, 50940, 51471, 50448, 51326, 53711, 51011, 51286, 53138, 50948, 52537, 51235, 55605, 52881, 53014, 50833, 74268, 50953, 50880, 53366, 50882, 52534, 51160, 53138, 50911, 55760, 51054, 52321, 52761, 54607, 51290, 51964, 50930, 64546, 51133, 50880, 51964, 50962, 51706, 50940, 51232, 78112, 50859, 51061, 67937, 51193, 50882, 51185, 52422, 51964, 50897, 55605, 53943, 51133, 50882, 51708, 50849, 51280, 50795, 71726, 79632, 51089, 50924, 50430, 51023, 65367, 57359, 53014, 51227, 51964, 50840, 72894, 50964, 50961, 51964, 60958, 51224, 53294, 51186, 50894, 53038, 50887, 51869, 51472, 51706, 51291, 51280, 51472, 51232, 51472, 51557, 50879, 51089, 50938, 51020, 50806, 52321, 53162, 51186, 51021, 53138, 50858, 53038, 50921, 51842, 50448, 51326, 53711, 51011, 51030, 52537, 50806, 53659, 52579, 60357, 53014, 50880, 53366, 51575, 54991, 53138, 50930, 52534, 51483, 54607, 51566, 55760, 51054, 52321, 52761, 51964, 51130, 53991, 51133, 50840, 51964, 51454, 51706, 50812, 51232, 50808, 78891, 61012, 50424, 51193, 50882, 51185, 54856, 53138, 51566, 54680, 54694, 51133, 50952, 51708, 51060, 51280, 51158, 51198, 51060, 68365, 51089, 50924, 50430, 51023, 50940, 51092, 50940, 51361, 54034, 50964, 50961, 51964, 60958, 51224, 55622, 51186, 50896, 53014, 51013, 53038, 51055, 51869, 51343, 51706, 51141, 51280, 51141, 51232, 51141, 51557, 50806, 51089, 50865, 51020, 50806, 52321, 68202, 59361, 51326, 53711, 51011, 51192, 53392, 50948, 52537, 51238, 55605, 50828, 51453, 54991, 50953, 50880, 53366, 50882, 52534, 51160, 54700, 50806, 55760, 51090, 51897, 52761, 53014, 50821, 51964, 51864, 54604, 51133, 50880, 51964, 50880, 51706, 50952, 51232, 78112, 60213, 67937, 68180, 51185, 52422, 51964, 50925, 56319, 54929, 51133, 50894, 51708, 50849, 51280, 50795, 51198, 50805, 79632, 51089, 50865, 50430, 51023, 50940, 51092, 57748, 51964, 50840, 72894, 50964, 50949, 51964, 75031, 51224, 53294, 51186, 50882, 53038, 50887, 51869, 51291, 51706, 51472, 51280, 51661, 51232, 51472, 51557, 50893, 51089, 50924, 51020, 50806, 52321, 52986, 51186, 51021, 53038, 51033, 51468, 50448, 51326, 55254, 51011, 51030, 52537, 50893, 54680, 53268, 60357, 53366, 50806, 51471, 52534, 51483, 53986, 51033, 55760, 50896, 51897, 53203, 53986, 50930, 51964, 51130, 53109, 51133, 50809, 53986, 50952, 51964, 51055, 51706, 50812, 51232, 50808, 51099, 60213, 67937, 68180, 51185, 50821, 74334, 54660, 51133, 50952, 53986, 50952, 51708, 51060, 51280, 51158, 51198, 51158, 51144, 57599, 50865, 50430, 51023, 50952, 51092, 50940, 51361, 54248, 50964, 50949, 54222, 51033, 51964, 75031, 51224, 55622, 51186, 51090, 53038, 51290, 51869, 51343, 51706, 51189, 51280, 51364, 51232, 51189, 51557, 50893, 51089, 50924, 51020, 50806, 51897, 55218, 54222, 51030, 51180, 53528, 54222, 50936, 50448, 51326, 55254, 51011, 51286, 52537, 51238, 54680, 55647, 54222, 51175, 51453, 54991, 76077, 53366, 50882 ]

[ 0, 713, 17627, 17274, 5175, 2214, 11, 230, 10431, 3694, 16, 686, 7, 9769, 19, 63, 33558, 34879, 4, 25837, 2987, 30, 41, 21979, 8669, 6, 21072, 6, 3459, 9590, 6, 8, 38668, 11212, 6, 24, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 10431, 119, 6, 83, 6, 8, 381, 35315, 1328, 6, 1271, 7, 63, 33200, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 72411, 50372, 52663, 51017, 57062, 56011, 66131, 50873, 55483, 57236, 51587, 53246, 51258, 69950, 61910, 56955, 51125, 54347, 51587, 53246, 50891, 67453, 55853, 66189, 51017, 53220, 51070, 57265, 51587, 54561, 51129, 61910, 51017, 54221, 52190, 54018, 50928, 51017, 60439, 56342, 65226, 60234, 51587, 53246, 55379, 51070, 50863, 51017, 59232, 54879, 62258, 66798, 51587, 54561, 57278, 52190, 54274, 51258, 51017, 58430, 50874, 56955, 51125, 54803, 76089, 67453, 55853, 61910, 51017, 54385, 51587, 53246, 56597, 51587, 53977, 51258, 66189, 51017, 54900, 51587, 67927, 54018, 50928, 51017, 60439, 56342, 65226, 59097, 67332, 72411, 53246, 60621, 59232, 58244, 67917, 50901, 55483, 57236, 51587, 53246, 51129, 55315, 61910, 61253, 51007, 55266, 51587, 54561, 50870, 51007, 56981, 50822, 66189, 50848, 52580, 51070, 57845, 51587, 53419, 51306, 66189, 50848, 54221, 52190, 54018, 75173, 59232, 60308, 64108, 60234, 51587, 53246, 58930, 76089, 51017, 57076, 61678, 66131, 66798, 51587, 53246, 57536, 52190, 54018, 51129, 51017, 55029, 50874, 62117, 51125, 54803, 76089, 67453, 62117, 55904, 51017, 54385, 51587, 76211, 50453, 51587, 53730, 51258, 55904, 51017, 54622, 51587, 50372, 52289, 54274, 50928, 51017, 55808, 61815, 69286, 59097, 51070, 51306, 72411, 54561, 50870, 51017, 57062, 54879, 62258, 50873, 55483, 57311, 51587, 54561, 51129, 51017, 58430, 50844, 56955, 51125, 55266, 51587, 53419, 50870, 67210, 56955, 66189, 51017, 52580, 51070, 57265, 51587, 53246, 51258, 66189, 51017, 52739, 52190, 54018, 50908, 51017, 57062, 56342, 65226, 60234, 51587, 53246, 58930, 75488, 51017, 59232, 56011, 62258, 66798, 51587, 53246, 57536, 52190, 54274, 51306, 51017, 58430, 50822, 56955, 51125, 54803, 51070, 50863, 51125, 50810, 56955, 59645, 51017, 54385, 51587, 76211, 50453, 51587, 53730, 51129, 66189, 51017, 54900, 51587, 67927, 54274, 50928, 51017, 59232, 56011, 62330, 59097, 67332, 72411, 76211, 50848, 59232, 58244, 63253, 50873, 55483, 57311, 51587, 53419, 51258, 55315, 61910, 60331, 51007, 55266, 51587, 54561, 50891, 51007, 56981, 50822, 61910, 50848, 53881, 51270, 52909, 70573, 51270, 54956, 51587, 56124, 53622, 51258, 66189, 57884, 50431, 51270, 52818, 70618, 51742, 51270, 62056, 54274, 75984, 59232, 60308, 51681, 50318, 67632, 51270, 54248, 51587, 58729, 52909, 74896, 51270, 52621, 51224, 54506, 69627, 51017, 57076, 59344, 62258, 50901, 50440, 51270, 55262, 51587, 58729, 53622, 51258, 50443, 51270, 52875, 52190, 54018, 51258, 69131, 55904, 64630, 51125, 55876, 51224, 54274, 50870, 67210, 62117, 56401, 51017, 65673, 51270, 52743, 51415, 51735, 51326, 58906, 58847, 52909, 50870, 51169, 51157, 50453, 51587, 53332, 51129, 55904, 51017, 53176, 51289, 61682, 56124, 70724, 54274, 50928, 51017, 57076, 64232, 65226, 73752, 51270, 54026, 51270, 52909, 51258, 50461, 51270, 50835, 55194, 50976, 55080, 51293, 53654, 53413, 52684, 51151, 77247, 66834, 57305, 53419, 50870, 51316, 51896, 50944, 54879, 66131, 76882, 51068, 53730, 57236, 52578, 75225, 55623, 57423, 54561, 51129, 61910, 56955, 51125, 55266, 51213, 61606, 61988, 53246, 50870, 51125, 50810, 55853, 50944, 52580, 51888, 55146, 56289, 56061, 51467, 53740, 57845, 52578, 63466, 61988, 53246, 56761, 51019, 72545, 55623, 62056, 54018, 50928, 50944, 56342, 65226, 60234, 51068, 61988, 54561, 57481, 51213, 51388, 52578, 51670, 55304, 52223, 53740, 57502, 51068, 58586, 53246, 57278, 51888, 75225, 55569, 62056, 54018, 51258, 66189, 56955, 51125, 55876, 51213, 50894, 52578, 61403, 61865, 51125, 50810, 56955, 50944, 54385, 52428, 51152, 56061, 51467, 76397, 76211, 50453, 51068, 64218, 53332, 56077, 62975, 51068, 55569, 57423, 50372, 52289, 54018, 50908, 51316, 63979, 56342, 69286, 60977, 51068, 53332, 51258, 77596, 58124, 50976, 52583, 51145, 54008, 51145, 77247, 51916, 75533, 54561, 50870, 51316, 51238, 50417, 51068, 53730, 57236, 51068, 55623, 57423, 53246, 51258, 61910, 60331, 51007, 54347, 51415, 61606, 61988, 53246, 50870, 51007, 56981, 50844, 66189, 50424, 51067, 74982, 77247, 56061, 51467, 50368, 52663, 50429, 51068, 61988, 53246, 56761, 51415, 71098, 55569, 62056, 54018, 50908, 51316, 72736, 60308, 67917, 67632, 51067, 56579, 51068, 58586, 53419, 51306, 50436, 51316, 54077, 52022, 51505, 55080, 53413, 52693, 51145, 54165, 51047, 77247, 52223, 54949, 60470, 51076, 51215, 50441, 51068, 58586, 53246, 57536, 51068, 55623, 70724, 54274, 51258, 56992, 62117, 51125, 55876, 52022, 61606, 69482, 50947, 51124, 67210, 64630, 50872, 54385, 77247, 54946, 51467, 75533, 53246, 56597, 52022, 56675, 58586, 53730, 58210, 63028, 51068, 55623, 57423, 67927, 54274, 50928, 51076, 55664, 61815, 65226, 60977, 51068, 53332, 51258, 55194, 51388, 53654, 53082, 52684, 67531, 54094, 52223, 76397, 50374, 52663, 51316, 51941, 50417, 51068, 53730, 57236, 52578, 75225, 55623, 57305, 53419, 51258, 59358, 55853, 51125, 54347, 51213, 61606, 61988, 50374, 52663, 67210, 55878, 50944, 52921, 51888, 55719, 55304, 56061, 51406, 54949, 57845, 52578, 61403, 61988, 53246, 57617, 62994, 51068, 55623, 70724, 54018, 50908, 50944, 57349, 65226, 58952, 51068, 61988, 53246, 57481, 51213, 50976, 52578, 55719, 56289, 52223, 54949, 56432, 51068, 58586, 53246, 59291, 51888, 61474, 55623, 74285, 54018, 51306, 66189, 55853, 51125, 54803, 51213, 50950, 52578, 63466, 78400, 67453, 56955, 50944, 52989, 52428, 51152, 54946, 51406, 76397, 76211, 50453, 51213, 63994, 61988, 53730, 56077, 51011, 72545, 55623, 57423, 71135, 54274, 50908, 50944, 56011, 62330, 59097, 51068, 53332, 51129, 51786, 50855, 58124, 51388, 52583, 51047, 54008, 51145, 77247, 52223, 76397, 53419, 50870, 51786, 51238, 50417, 51068, 53332, 57311, 51068, 55623, 57423, 53246, 51258, 61910, 60331, 51007, 55266, 51415, 56823, 61988, 53419, 50870, 51007, 56981, 50844, 61910, 50424, 51292, 51060, 52389, 54094, 56061, 51406, 50368, 52663, 50429, 51068, 61988, 53246, 57617, 51415, 72545, 55569, 62056, 54018, 50928, 51316, 50937, 50944, 58244, 64108, 60234, 51068, 61988, 54561, 57481, 52022, 50976, 55080, 52096, 52693, 51145, 54165, 51148, 77247, 51916, 54949, 50891, 51076, 50967, 50441, 51068, 61988, 54561, 57536, 51068, 55569, 62056, 54018, 51258, 58518, 62117, 51125, 54803, 52022, 56823, 53332, 50870, 77457, 67453, 64630, 50872, 54385, 77247, 54946, 51467, 75533, 76211, 50453, 52022, 56675, 64218, 53977, 58210, 63028, 51068, 55569, 57305, 71135, 54018, 50908, 51169, 72305, 61815, 69286, 73752, 50947, 57490, 51068, 53332, 51258, 50460, 51169, 50886, 55194, 51505, 53654, 52121, 52684, 52121, 52243, 51367, 58250, 54561, 58120, 51078, 51161, 55483, 51129, 52906, 57305, 53246, 51258, 61910, 55853, 51125, 54347, 51213, 63102, 53246, 50870, 67453, 55878, 50944, 53881, 53428, 51012, 52243, 50969, 51406, 54949, 57265, 51587, 54561, 56761, 51019, 61363, 70724, 54274, 50908, 50944, 57349, 62330, 60234, 51587, 53246, 55379, 51213, 50976, 55299, 51167, 53752, 50367, 52663, 50441, 51587, 54561, 51258, 56960, 62056, 54274, 51306, 59358, 56955, 51125, 54803, 51213, 57500, 50863, 51125, 50810, 56955, 50944, 54385, 50798, 52538, 51406, 76397, 53246, 56597, 51213, 60035, 53730, 56077, 51019, 61363, 58250, 71135, 54274, 50928, 50944, 57349, 62330, 59097, 63387, 55194, 51505, 53752, 75533, 53246, 50891, 55483, 57236, 55299, 51286 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3495, 2125, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 7219, 8669, 8, 6168, 3540, 483, 5, 169, 6, 2800, 30, 38668, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 20, 762, 9, 272, 538, 28028, 6, 19, 10, 33215, 13931, 9, 3676, 406, 6, 230, 119, 1176, 406, 6, 8, 272, 16331, 1328, 42, 8787, 15229, 6, 1969, 13, 2365, 50, 3618, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57333, 51338, 51112, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031, 54360, 51091, 51915, 51397, 51350, 51183, 50843, 60159, 51195, 70955, 54311, 50807, 51368, 58379, 52163, 51195, 51025, 56682, 51112, 52331, 50901, 52055, 51225, 53299, 51726, 51346, 52331, 57817, 51545, 51159, 52331, 75438, 52001, 68029, 51726, 51177, 50843, 54496, 50816, 52444, 52331, 51183, 51223, 51264, 50843, 60159, 51545, 59689, 52568, 51726, 51295, 50804, 52001, 52884, 51844, 50800, 51545, 51377, 52055, 51225, 50813, 56682, 51112, 52331, 51267, 52055, 51104, 53299, 51726, 72265, 51545, 50983, 52331, 57978, 52726, 51726, 69956, 56262, 52331, 51194, 51223, 51896, 50843, 60159, 51545, 51412, 50843, 54554, 51726, 58379, 52001, 62287, 51545, 50901, 52894, 51112, 51425, 50878, 52055, 51225, 53299, 51223, 51073, 51425, 55640, 51250, 51336, 51425, 64211, 52001, 68029, 51223, 77583, 54496, 50816, 52444, 51425, 50914, 51262, 51291, 50843, 60159, 51223, 51056, 50843, 52568, 51425, 69362, 52001, 52884, 73198, 51223, 51253, 52055, 51225, 50813, 53053, 51112, 51368, 51428, 55121, 53299, 51368, 50858, 51195, 64131, 51355, 51472, 51368, 56873, 52726, 51195, 51056, 50843, 56262, 51250, 51472, 51368, 51159, 50843, 60159, 51195, 63112, 51368, 55506, 52163, 51195, 51177, 52055, 51225, 50813, 54309, 50991, 51368, 50978, 51915, 50959, 52055, 51225, 53299, 51368, 51073, 51915, 57817, 51195, 50983, 51915, 72827, 52001, 68029, 51368, 51241, 50843, 54496, 50816, 52444, 51915, 51183, 51350, 51336, 50843, 60159, 51195, 51162, 50843, 52568, 51368, 78688, 52001, 52884, 51338, 50800, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50854, 51915, 51013, 52055, 51104, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52726, 51368, 51134, 50843, 56262, 51915, 51047, 51350, 68754, 60159, 51195, 79308, 54311, 51048, 51368, 51310, 50804, 52163, 51195, 51318, 54309, 51112, 51915, 50892, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031, 54360, 51091, 51915, 51397, 51350, 51183, 50843, 60159, 51195, 70955, 54311, 50807, 51368, 58379, 52163, 51195, 51025, 56682, 51112, 52331, 50901, 52055, 51225, 53299, 51726, 51346, 52331, 57817, 51545, 51159, 52331, 75438, 52001, 68029, 51726, 51177, 50843, 54496, 50816, 52444, 52331, 51183, 51223, 51264, 50843, 60159, 51545, 59689, 52568, 51726, 51295, 50804, 52001, 52884, 51844, 50800, 51545, 51377, 52055, 51225, 50813, 56682, 51112, 52331, 51267, 52055, 51104, 53299, 51726, 72265, 51545, 50983, 52331, 57978, 52726, 51726, 69956, 56262, 52331, 51194, 51223, 51896, 50843, 60159, 51545, 51412, 50843, 54554, 51726, 58379, 52001, 62287, 51545, 50901, 52894, 51112, 51425, 50878, 52055, 51225, 53299, 51223, 51073, 51425, 55640, 51250, 51336, 51425, 64211, 52001, 68029, 51223, 77583, 54496, 50816, 52444, 51425, 50914, 51262, 51291, 50843, 60159, 51223, 51056, 50843, 52568, 51425, 69362, 52001, 52884, 73198, 51223, 51253, 52055, 51225, 50813, 53053, 51112, 51368, 51428, 55121, 53299, 51368, 50858, 51195, 64131, 51355, 51472, 51368, 56873, 52726, 51195, 51056, 50843, 56262, 51250, 51472, 51368, 51159, 50843, 60159, 51195, 63112, 51368, 55506, 52163, 51195, 51177, 52055, 51225, 50813, 54309, 50991, 51368, 50978, 51915, 50959, 52055, 51225, 53299, 51368, 51073, 51915, 57817, 51195, 50983, 51915, 72827, 52001, 68029, 51368, 51241, 50843, 54496, 50816, 52444, 51915, 51183, 51350, 51336, 50843, 60159, 51195, 51162, 50843, 52568, 51368, 78688, 52001, 52884, 51338, 50800, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50854, 51915, 51013, 52055, 51104, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52726, 51368, 51134, 50843, 56262, 51915, 51047, 51350, 68754, 60159, 51195, 79308, 54311, 51048, 51368, 51310, 50804, 52163, 51195, 51318, 54309, 51112, 51915, 50892, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031, 54360, 51091, 51915, 51397, 51350, 51183, 50843, 60159, 51195, 70955, 54311, 50807, 51368, 58379, 52163, 51195, 51025, 56682, 51112, 52331, 50901, 52055, 51225, 53299, 51726, 51346, 52331, 57817, 51545, 51159, 52331, 75438, 52001, 68029, 51726, 51177, 50843, 54496, 50816, 52444, 52331, 51183, 51223, 51264, 50843, 60159, 51545, 59689, 52568, 51726, 51295, 50804, 52001, 52884, 51844, 50800, 51545, 51377, 52055, 51225, 50813, 56682, 51112, 52331, 51267, 52055, 51104, 53299, 51726, 72265, 51545, 50983, 52331, 57978, 52726, 51726, 69956, 56262, 52331, 51194, 51223, 51896, 50843, 60159, 51545, 51412, 50843, 54554, 51726, 58379, 52001, 62287, 51545, 50901, 52894, 51112, 51425, 50878, 52055, 51225, 53299, 51223, 51073, 51425, 55640, 51250, 51336, 51425, 64211, 52001, 68029, 51223, 77583, 54496, 50816, 52444, 51425, 50914, 51262, 51291, 50843, 60159, 51223, 51056, 50843, 52568, 51425, 69362, 52001, 52884, 73198, 51223, 51253, 52055, 51225, 50813, 53053, 51112, 51368, 51428, 55121, 53299, 51368, 50858, 51195, 64131, 51355, 51472, 51368, 56873, 52726, 51195, 51056, 50843, 56262, 51250, 51472, 51368, 51159, 50843, 60159, 51195, 63112, 51368, 55506, 52163, 51195, 51177, 52055, 51225, 50813, 54309, 50991, 51368, 50978, 51915, 50959, 52055, 51225, 53299, 51368, 51073, 51915, 57817, 51195, 50983, 51915, 72827, 52001, 68029, 51368, 51241, 50843, 54496, 50816, 52444, 51915, 51183, 51350, 51336, 50843, 60159, 51195, 51162, 50843, 52568, 51368, 78688, 52001, 52884, 51338, 50800, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 53590, 55121, 53299, 51915, 50897, 51368, 58938, 53625, 50889, 51195, 51294, 51915, 72827, 52726, 51368, 51191, 50843, 56262, 53625, 51159, 51350, 51336, 51915, 51448, 50843, 60159, 51195, 75355, 54311, 51048, 52833, 51110, 51368, 78688, 52163, 51195, 51318, 54309, 51112, 52380, 51518, 51915, 51013, 52055, 51225, 53299, 51368, 51346, 50426, 51195, 51343, 51915, 57765, 52001, 68029, 51368, 51134, 50843, 54496, 50816, 52444, 51915, 51047, 51350, 68754, 60159, 51195, 77776, 52568, 51368, 51310, 50804, 52001, 52884, 51338, 50830, 51195, 51318, 52055, 51225, 50813, 54309, 51112, 51915, 50892, 52055, 51104, 53299, 51368, 51346, 51915, 58192, 53625, 51103, 51195, 51204, 51915, 51400, 50804, 52726, 51368, 51391, 50843, 51031 ]

[ 0, 713, 25771, 5175, 2125, 6, 278, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 178, 5285, 20889, 2386, 5, 31391, 1672, 9590, 6, 6755, 12547, 6, 2236, 1021, 2678, 29, 6, 38668, 2236, 6, 8, 3459, 8669, 7, 35810, 561, 10, 5797, 990, 1506, 9, 2933, 8, 3722, 23225, 6, 7630, 14805, 10, 25306, 619, 4, 20, 33215, 16739, 9, 274, 6, 230, 73, 717, 6, 211, 119, 6, 274, 73, 347, 6, 8, 163, 428, 3639, 5581, 7, 42, 24111, 34753, 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 ]

[ 57448, 50799, 55810, 51356, 55899, 51077, 52886, 64739, 52888, 50950, 52086, 55747, 52888, 51012, 52086, 65708, 54669, 50950, 52914, 53974, 53686, 51012, 52561, 55122, 53686, 51012, 54102, 51356, 54193, 51077, 52561, 50879, 52626, 63883, 52689, 51761, 51882, 51364, 50799, 53755, 51356, 54280, 51077, 52735, 64739, 53391, 50950, 52077, 55747, 53391, 51012, 52077, 65708, 52689, 50950, 51882, 53974, 52888, 51012, 52086, 55122, 52888, 51012, 52792, 51356, 52700, 51077, 52086, 50879, 52430, 63883, 52945, 51761, 51855, 51364, 50799, 52290, 51356, 52004, 51077, 52137, 64739, 53132, 50950, 51813, 55747, 53132, 51012, 51813, 65708, 52945, 50950, 51855, 53974, 53391, 51012, 52077, 55122, 53985, 51012, 52037, 51356, 51893, 51077, 52088, 50879, 52036, 63883, 53391, 51012, 52077, 55149, 53391, 51012, 52077, 55416, 53985, 51012, 52088, 50879, 50799, 53132, 51012, 52290, 51356, 52004, 51077, 51813, 50879, 52137, 64739, 53132, 51012, 51813, 54851, 57922, 51012, 53216, 54729, 53132, 51012, 51813, 55122, 53391, 51237, 51783, 51356, 52184, 51356, 53755, 51356, 51256, 51077, 52031, 51077, 54280, 51077, 52077, 51013, 51743, 51077, 52340, 51077, 52735, 66336, 53391, 51237, 52077, 51013, 50799, 51783, 51696, 51722, 51696, 52000, 51264, 51256, 51264, 51408, 51264, 52447, 51359, 51425, 51359, 51526, 51696, 52584, 51696, 51743, 51264, 51863, 63560, 52888, 51012, 52086, 54851, 52888, 51237, 52086, 60315, 52689, 50950, 51882, 61032, 52888, 51653, 52086, 70098, 52888, 51237, 52086, 51013, 50799, 51783, 51696, 51722, 51696, 52000, 51264, 51256, 51264, 51408, 51264, 52447, 51359, 51425, 51359, 51526, 51696, 52584, 51696, 51863, 51264, 52036, 51264, 52735, 63560, 52888, 51012, 52086, 54851, 52888, 51237, 52086, 60315, 52689, 50950, 51882, 61032, 52888, 51653, 52086, 70098, 52888, 51237, 52086, 51013, 50799, 52888, 50950, 51722, 51016, 51408, 50889, 52086, 50859, 51436, 51218, 51526, 51343, 55298, 51343, 52735, 64018, 53686, 51653, 52561, 71727, 53686, 51012, 51612, 50893, 51390, 50805, 52561, 50879, 52886, 52605, 52888, 51012, 51722, 50893, 51408, 50805, 52086, 50879, 51436, 50873, 51526, 50893, 55298, 50893, 52735, 52446, 52689, 51012, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 51882, 50879, 51265, 51218, 51349, 51343, 54144, 51343, 52036, 50889, 52430, 55480, 53686, 51012, 52561, 55149, 53686, 50950, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 52561, 50859, 52036, 50889, 52430, 63433, 52689, 51653, 51882, 51238, 50456, 51265, 50873, 51349, 50893, 54144, 50893, 50799, 53391, 51012, 51555, 51016, 51209, 50889, 52077, 50879, 51368, 51218, 51137, 51343, 52993, 51343, 52137, 55385, 52888, 51012, 52086, 54851, 52888, 50950, 51555, 51016, 51209, 50889, 52086, 50859, 52137, 63455, 53391, 51653, 52077, 51238, 50432, 51368, 50873, 78148, 52993, 54993, 53391, 51012, 51555, 51235, 51209, 51116, 52077, 50879, 51425, 51218, 51132, 51343, 52584, 51343, 52137, 70595, 52888, 50950, 52086, 56762, 52888, 51745, 52123, 51362, 51555, 51362, 51322, 51204, 51209, 51204, 52086, 51294, 51838, 51204, 52137, 51204, 50456, 51425, 50873, 73710, 52584, 50893, 50799, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 52191, 51218, 51533, 51343, 52585, 51343, 52340, 52864, 53391, 50950, 52623, 50893, 51555, 50893, 51772, 50805, 51209, 50805, 52077, 50859, 52340, 50805, 52137, 57572, 53391, 51653, 52077, 71727, 52623, 50893, 51555, 50893, 51772, 50805, 51209, 50805, 52340, 50805, 52137, 52605, 53132, 51012, 52623, 50858, 51772, 50808, 51813, 50879, 52191, 50873, 51533, 50893, 52585, 50893, 52340, 52599, 53985, 51012, 52123, 50893, 51322, 50805, 52088, 50879, 52447, 51218, 51727, 51343, 51526, 51343, 51838, 52815, 53391, 50950, 52123, 51016, 51783, 51016, 51322, 50889, 51256, 50889, 52077, 50859, 51838, 50889, 52036, 50889, 50447, 53391, 51653, 52077, 51238, 50456, 53985, 51012, 52123, 50893, 51783, 50893, 51322, 50805, 51256, 50805, 52088, 50879, 52447, 50873, 51727, 50893, 51526, 50893, 51838, 50805, 52036, 50805, 50799, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 51915, 51218, 51338, 51343, 51416, 51343, 52340, 52864, 53391, 50950, 52623, 50893, 51555, 50893, 51772, 50805, 51209, 50805, 52077, 50859, 52340, 50805, 52137, 57572, 53391, 51012, 52077, 54851, 52623, 51016, 51555, 51016, 51772, 50889, 51209, 50889, 52340, 50889, 52137, 63455, 52888, 51653, 52086, 51238, 50432, 51915, 50873, 51338, 50893, 51416, 54993, 52689, 51012, 52623, 51016, 51722, 51016, 51772, 50889, 51408, 50889, 51882, 50879, 51425, 50943, 51132, 51016, 52584, 51016, 52340, 50889, 52735, 55480, 52689, 50950, 51882, 56762, 53391, 50950, 52077, 54721, 52689, 51237, 52623, 51016, 51722, 51016, 51772, 50889, 51408, 50889, 51882, 51013, 51425, 50873, 73710, 52584, 50893, 52340, 50889, 52735, 55069, 51425, 50873, 73710, 52584, 50893, 50799, 52888, 51012, 51722, 51016, 51408, 50889, 52086, 50879, 51436, 51218, 51526, 51343, 55298, 51343, 52735, 55385, 53686, 50950, 52561, 55747, 53686, 51653, 52561, 71727, 51612, 50893, 51390, 50805, 52886, 52605, 52888, 51012, 51722, 50893, 51408, 50805, 52086, 50879, 51436, 50873, 51526, 50893, 55298, 50893, 52735, 52446, 52689, 51012, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 51882, 50879, 51265, 51218, 51349, 51343, 54144, 51343, 52036, 50889, 52430, 55480, 53686, 50950, 52561, 56762, 53686, 51012, 52561, 55149, 51783, 51016, 51584, 51016, 51256, 50889, 51229, 50889, 52036, 50889, 52430, 63433, 52689, 51653, 51882, 51238, 50456, 51265, 50873, 51349, 50893, 54144, 50893, 50799, 53391, 51012, 51555, 51016, 51209, 50889, 52077, 50879, 51368, 51218, 51137, 51343, 52993, 51343, 52137, 55385, 52888, 51012, 52086, 54851, 52888, 51012, 51555, 51235, 51209, 51116, 52086, 50879, 52137, 68109, 53391, 50950, 52077, 50859, 51368, 50873, 78148, 52993, 62960, 53391, 51653, 51555, 51235, 51209, 51116, 52077, 51238, 52137, 69705, 51425, 51218, 51132, 51343, 52584, 51343, 50444, 52888, 50950, 51555, 51343, 51722, 51343, 51209, 51141, 51408, 51141, 52086, 50859, 52137, 51141, 52735, 51141, 50447, 52888, 51745, 52086, 51294, 50456, 51425, 50873, 73710, 52584, 50893, 50799, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 52191, 51218, 51533, 51343, 52585, 51343, 52340, 52864, 53391, 50950, 52623, 51016, 51555, 51016, 51772, 50889, 51209, 50889, 52077, 50859, 52340, 50889, 52137, 74719, 53391, 51653, 52077, 51238, 50432, 53132, 51012, 52623, 50893, 51772, 50805, 51813, 50879, 52191, 50873, 51533, 50893, 52585, 50893, 52340, 52446, 53985, 50950, 52123, 50893, 51322, 50805, 52088, 50859, 52447, 51218, 51727, 51343, 51526, 51343, 51838, 60132, 53391, 51012, 52077, 55885, 52123, 51343, 51783, 51343, 51322, 51141, 51256, 51141, 51838, 51141, 52036, 51141, 50447, 53391, 51237, 52077, 63505, 52447, 50873, 51727, 50893, 51526, 64503, 53985, 50950, 52088, 50859, 51034, 53132, 50950, 52623, 51235, 51772, 51116, 51813, 50859, 51915, 51218, 51338, 51343, 51416, 51343, 52340, 51116, 50417, 53391, 51012, 52077, 65393, 53391, 51653, 52623, 50858, 51555, 50858, 51772, 50808, 51209, 50808, 52077, 51238, 52340, 50808, 52137, 52450, 52623, 51016, 51555, 51016, 51772, 50889, 51209, 50889, 52340, 50889, 52137, 55112, 52888, 51012, 52086, 50879, 51915, 50873, 51338, 50893 ]

[ 0, 250, 765, 8, 19448, 11057, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 3459, 8669, 6, 23338, 33518, 1264, 6, 6755, 12547, 6, 21979, 8669, 6, 8, 13305, 6, 70, 29354, 561, 7, 1045, 10, 15352, 30054, 8, 5679, 26709, 5466, 6, 1969, 13, 5, 1619, 191, 6, 19, 10, 1011, 625, 12, 3341, 619, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 23758, 3938, 20889, 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 ]

[ 56103, 51261, 51795, 50415, 51525, 58026, 50900, 51538, 51040, 51161, 50871, 51518, 50455, 52078, 51111, 51793, 53268, 50997, 51376, 50461, 51150, 51300, 52591, 50989, 51343, 50900, 51364, 50916, 51141, 50997, 51364, 50433, 51793, 50893, 50437, 51050, 54532, 50439, 51140, 51274, 51098, 64733, 50956, 51204, 50871, 51351, 51086, 51226, 51027, 51091, 50457, 51793, 50806, 50799, 51525, 74652, 51261, 51795, 53502, 51692, 50871, 51677, 51040, 51585, 50455, 50997, 52482, 50456, 52078, 50975, 53788, 51300, 56363, 51218, 50989, 74886, 51218, 50916, 50983, 50433, 51793, 50975, 50437, 51050, 54344, 50439, 51140, 51496, 50445, 51086, 51661, 50956, 51417, 70837, 51027, 51310, 50456, 51793, 50975, 54204, 51795, 51525, 72533, 50900, 51452, 51040, 51742, 50871, 51592, 50445, 50997, 51295, 50455, 52078, 50993, 50461, 51150, 51300, 53069, 51378, 60055, 50989, 51351, 50900, 64291, 51134, 50997, 51351, 50432, 51793, 51066, 60116, 69279, 51040, 60821, 79981, 50889, 50445, 51050, 53280, 50456, 51793, 50975, 50461, 51525, 50894, 54204, 51795, 50416, 51040, 60259, 57934, 52062, 78523, 51790, 51040, 51675, 50449, 50997, 52397, 50456, 52078, 73300, 51150, 51029, 52591, 51378, 51397, 50900, 51189, 50916, 51318, 50989, 51189, 50997, 51477, 50432, 51793, 50975, 60116, 51496, 50442, 52060, 54651, 51086, 51294, 51553, 50812, 70875, 50975, 50445, 51027, 51542, 50956, 51542, 51050, 53577, 50871, 51542, 50447, 51456, 69774, 51224, 52163, 52876, 50860, 51256, 66514, 50803, 70875, 50882, 65959, 69077, 51793, 73481, 53143, 58731, 50930, 54204, 51795, 59685, 50823, 52000, 51790, 52321, 70772, 50803, 57695, 51066, 50418, 53143, 52244, 52876, 51805, 58235, 50900, 51538, 51040, 51161, 50871, 51518, 50424, 53143, 57615, 51917, 52519, 70875, 52524, 52876, 55720, 52493, 50858, 57695, 50942, 50427, 51256, 51749, 50429, 53143, 50823, 59403, 69812, 51408, 52658, 59685, 51805, 50886, 52861, 51138, 50436, 56631, 52651, 50961, 59403, 50824, 50437, 50801, 52565, 59685, 50823, 51934, 57838, 58037, 53143, 60254, 52876, 55075, 50961, 51180, 54525, 53143, 57891, 52876, 50860, 54786, 50930, 51899, 58453, 50950, 50451, 51917, 50933, 51256, 51126, 59403, 73059, 53143, 64776, 52078, 51111, 51793, 50839, 54786, 52485, 50997, 51376, 59685, 50823, 51718, 51053, 50961, 57695, 50865, 50460, 56631, 56771, 51150, 51300, 54786, 51072, 50799, 59685, 50823, 51451, 60243, 51366, 51253, 52000, 60243, 52321, 62799, 53143, 52244, 50989, 51343, 50900, 51364, 50916, 51141, 50997, 51364, 52876, 51805, 60682, 53143, 52651, 52630, 52876, 50860, 51334, 60873, 57444, 60579, 53143, 52119, 59685, 51805, 55503, 72090, 51793, 50893, 51334, 57083, 51408, 54350, 51547, 51010, 50436, 56631, 57880, 51050, 54532, 51256, 60676, 59685, 50823, 52286, 52519, 51772, 51419, 51762, 50439, 51140, 51274, 51098, 59779, 53143, 60254, 52876, 52651, 55186, 52120, 57460, 50956, 51204, 50871, 51351, 51086, 51226, 51027, 63419, 55903, 50817, 52876, 50860, 51229, 56394, 63273, 68343, 51934, 51235, 51893, 51480, 50454, 53143, 52163, 51287, 51053, 70000, 51793, 56277, 56631, 62181, 52000, 51397, 70526, 50918, 51488, 51870, 51201, 51103, 51088, 51336, 51165, 51356, 52286, 51878, 51917, 51189, 51334, 50917, 52219, 50985, 51139, 53340, 51177, 50415, 51261, 51795, 53410, 50811, 59685, 51184, 53502, 51692, 50871, 51677, 51040, 74390, 51351, 50423, 51334, 61057, 51934, 50840, 57695, 52976, 51334, 52634, 52493, 50940, 50428, 51408, 50890, 51361, 51423, 57695, 51244, 50433, 52840, 51961, 50435, 59403, 51413, 51850, 51110, 50436, 50801, 50961, 52861, 51291, 53016, 50806, 52387, 51291, 50437, 59431, 51570, 51177, 50443, 51154, 50828, 78990, 51488, 54441, 55186, 51088, 50820, 51201, 53065, 51351, 50447, 51917, 71487, 53085, 50967, 50449, 75752, 51451, 68465, 51201, 50897, 70999, 51629, 50821, 51304, 50858, 51334, 51286, 50816, 58453, 50950, 50454, 53016, 50952, 50455, 50997, 52482, 50456, 52078, 50975, 51165, 50890, 51201, 50834, 51394, 50867, 52000, 51095, 51408, 59156, 51194, 50801, 50961, 53788, 51300, 51165, 51016, 51088, 51294, 51182, 50914, 52321, 51100, 54786, 50889, 52678, 51016, 54227, 51013, 54598, 50889, 53016, 50889, 51971, 50914, 57695, 50932, 50415, 65979, 50416, 64150, 51830, 50995, 56363, 51218, 50989, 74886, 51218, 50916, 50983, 51209, 60257, 51351, 50424, 58074, 51694, 57444, 50930, 51361, 51328, 50801, 72090, 51793, 50975, 50435, 53737, 63806, 50436, 51664, 51524, 50437, 51050, 54344, 51794, 51400, 51629, 51363, 51395, 51238, 51883, 51203, 51375, 51160, 51488, 51460, 51917, 51173, 52060, 54362, 51426, 50991, 55655, 50901, 51772, 51158, 54223, 51121, 53008, 51575, 51101, 53399, 51016, 63976, 50995, 52527, 50889, 55458, 50807, 52861, 51961, 65359, 51097, 50439, 51140, 51496, 51674, 51379, 50442, 51553, 60869, 50801, 55186, 52120, 51134, 50445, 51086, 51661, 50956, 51417, 70837, 51027, 51310, 50448, 51664, 60789, 50574, 58977, 51600, 51110, 51794, 51194, 51426, 51215, 51491, 50975, 51883, 51177, 51917, 50812, 53737, 51022, 52812, 50830, 51772, 55095, 50576, 53798, 51488, 50879, 51395, 50879, 55655, 50907, 54223, 50833, 51547, 67831, 63273, 58045, 51456, 58403, 52876, 55273, 51793, 50975, 51224, 51052, 51309, 50801, 70000, 52840, 51148, 57695, 51486, 50458, 54244, 51803, 50459, 53143, 50823, 52000, 52980, 51850, 51047, 52861, 51692, 59403, 52916, 50460, 51917, 51803, 55655, 52980, 51456, 50912, 53016, 51591, 52387, 51662, 50461, 52286, 51742, 51830, 51452, 51772, 51675, 51209, 51790, 51326, 65209, 50803, 54204, 51795, 59685, 50860, 52219, 50985, 51139, 51177, 50418, 53143, 60442, 52876, 50860, 51039, 51351, 50423, 53143, 57615, 50900, 51452, 51040, 51742, 50871, 51592, 52876, 50860, 51694, 52493, 57781, 53143, 52119, 59685, 51805, 51423, 50436, 56631, 52651, 73957, 50801, 52565, 59685, 51805, 51177, 50442, 53143, 60254, 52876, 55166, 50961, 51180, 51351, 50445, 50997, 51295, 54244, 51337, 50448, 53143, 50803, 52000, 51210, 57695, 51043, 50449, 52876, 50860, 51917, 50827, 52280, 53567, 55655, 51524, 52286, 50878, 51830, 50910, 51772, 50827, 51209, 62283, 58453, 50950, 52840, 50940, 50451, 51850, 50878, 59403, 52063, 52861, 50873, 52387, 50972, 51992, 50924, 50453, 53143, 64776, 52078, 50993, 59685, 50823, 51453, 51194, 50801, 77660, 56631, 50803, 53046, 51115, 52000, 51524, 50461, 51150, 51300, 54244, 53265, 52733, 51218, 52812, 50983, 51451, 51753, 52280, 50827, 51756, 51204, 50799, 59685, 50823, 51366, 51043, 52321, 51100, 54786, 51419, 54598, 51191, 51971, 51091, 57695, 53674, 54227, 51191, 50415, 51547, 50967, 52678, 51294, 50418, 53143, 60442, 51378, 50983, 52876, 55573, 50989, 51351, 50900, 64291, 51134, 50997, 51351, 50791, 51351, 50423, 53143, 59174, 58074, 50425, 52876, 54675, 51451, 51000, 51322, 50825, 51366, 50810, 51547, 58162, 57444, 66770, 51408, 66121, 53143, 57925, 59685, 54179, 51793, 58834, 51328, 50801, 69201, 56631, 57880, 53737, 52136, 51912, 51095, 51772, 51215, 54849, 51364, 54223, 51218, 52213, 52518, 65359, 53265, 60116, 51189, 59685, 50823, 52286, 51477, 51256, 51277, 51229, 66741, 51101, 52840, 51379, 52527, 51427, 59403, 51852, 55458, 51653, 53037, 51653, 50439, 52943, 51175, 50441, 53143, 60254, 52876, 52651, 55186, 51040, 60821, 79981, 50889, 52120, 51134, 50445, 51050, 53280, 50450, 52876, 54886, 63273 ]

[ 0, 250, 33928, 8, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 12608, 119, 1176, 406, 6, 12608, 401, 6, 163, 428, 6, 272, 119, 6, 8, 230, 119, 406, 3639, 7, 63, 17627, 17274, 2365, 8, 1619, 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, 0, 0, 0, 0, 0 ]

[ 57530, 53870, 50910, 54967, 61798, 52436, 50828, 53786, 50884, 52380, 52816, 51833, 53223, 73032, 51437, 59768, 51105, 54366, 51539, 52870, 51096, 50897, 53786, 50818, 52380, 50828, 52436, 53871, 51437, 60443, 57309, 59579, 51833, 50835, 51974, 53754, 51437, 60723, 51096, 53852, 51833, 53115, 51105, 50937, 54933, 59954, 53786, 50884, 52436, 50828, 52380, 53756, 51833, 50863, 52129, 53754, 51437, 61082, 51096, 50938, 53477, 51566, 62235, 52802, 52436, 50828, 52380, 50846, 53786, 53756, 51437, 59617, 63998, 52579, 52855, 50969, 51437, 59175, 51096, 55136, 51539, 50841, 53870, 50910, 56089, 62307, 52436, 50846, 53786, 50884, 52380, 53871, 52223, 53227, 50798, 53754, 51539, 59768, 51105, 53618, 51833, 52870, 51096, 50897, 52436, 50828, 53786, 50884, 52380, 53871, 51467, 60443, 57309, 57393, 77608, 51974, 53500, 51464, 62586, 51096, 54200, 51916, 53018, 51105, 50938, 53804, 60067, 52436, 50846, 52380, 50818, 53786, 52816, 52223, 50863, 52129, 53889, 51464, 58321, 51096, 50917, 53477, 51454, 63998, 52802, 52436, 50846, 52380, 50846, 53786, 53871, 51406, 59096, 50798, 51916, 52579, 52855, 50969, 51464, 59025, 51096, 55136, 51539, 50839, 53870, 50910, 51020, 53756, 51406, 67553, 51020, 56933, 51020, 64600, 52436, 50828, 53786, 50895, 52380, 53871, 51833, 63180, 51020, 54031, 51020, 54739, 54382, 51437, 59136, 51020, 59095, 51105, 50829, 51020, 53756, 51750, 60341, 51020, 53855, 51096, 50897, 53786, 50818, 52380, 50828, 52436, 53756, 51467, 57334, 51020, 61869, 51020, 59971, 51020, 50884, 57309, 57825, 51833, 60741, 51020, 50884, 51974, 53754, 51464, 56802, 51020, 59311, 51020, 58024, 51096, 50820, 51020, 52816, 51750, 52904, 51105, 50937, 51193, 54739, 51187, 57927, 51193, 53905, 51193, 58408, 53786, 50884, 52436, 50828, 52380, 50828, 51193, 53871, 51833, 53594, 51193, 52816, 53754, 51539, 57028, 51193, 55354, 51193, 64915, 51096, 50917, 53477, 59387, 51916, 58145, 51193, 53409, 52436, 50828, 52380, 50846, 53786, 62737, 54749, 51467, 64382, 51092, 56883, 51092, 57297, 50798, 51916, 59644, 51092, 52349, 51092, 53871, 53754, 51437, 59552, 51092, 56924, 51092, 57319, 51096, 50835, 51092, 54739, 51539, 50839, 53870, 50910, 51546, 53756, 51467, 57030, 51546, 56092, 51546, 59720, 52436, 50846, 53786, 50818, 52380, 50828, 51546, 52816, 51916, 53223, 51979, 50839, 52436, 50820, 51546, 54749, 53754, 51437, 58092, 51546, 54069, 51546, 63501, 51105, 54200, 51833, 60341, 51546, 52905, 51096, 50897, 52436, 50828, 53786, 50818, 52380, 50846, 51546, 54749, 51406, 64015, 51546, 54013, 51546, 58854, 51546, 50895, 57309, 57825, 51833, 52767, 52436, 50846, 51979, 50841, 51546, 52816, 53500, 51539, 56802, 51546, 54986, 51546, 61385, 51096, 53618, 51750, 57667, 51546, 53418, 51105, 50937, 51092, 54739, 51467, 64562, 51092, 54735, 51092, 58408, 52436, 50846, 52380, 50818, 53786, 50884, 51092, 53871, 51916, 53027, 51979, 50841, 52436, 73417, 53871, 53889, 51539, 59224, 51092, 54926, 50945, 51111, 51092, 63865, 53477, 51454, 62235, 57723, 51092, 53035, 52436, 50828, 52380, 50828, 53786, 73417, 52816, 51467, 60752, 51092, 56246, 51092, 59096, 50798, 51916, 57583, 51092, 53685, 65344, 51979, 50846, 52436, 50841, 51092, 53871, 54382, 51437, 57950, 51092, 56419, 51092, 57319, 54967, 50841, 55563, 50805, 51193, 53756, 51437, 67722, 51193, 56933, 51193, 59720, 52436, 50828, 53786, 50818, 52380, 52816, 51833, 63094, 51193, 53829, 51193, 53871, 53754, 51437, 59136, 51193, 54069, 51193, 60955, 51325, 55136, 51833, 60341, 51193, 52437, 51105, 50849, 53786, 50884, 52380, 50846, 52436, 53756, 51406, 56680, 51193, 61869, 51193, 63519, 51193, 50884, 57309, 59579, 51916, 59277, 51193, 52209, 52656, 54200, 53754, 51464, 57398, 51193, 56859, 51193, 58024, 51105, 71867, 52816, 51833, 52904, 51325, 50938, 51020, 54749, 51467, 55698, 51020, 55201, 51020, 58408, 53786, 50818, 52436, 50828, 52380, 68204, 53871, 51916, 53027, 51020, 52816, 53889, 51464, 57028, 51020, 54255, 51020, 66119, 74809, 51020, 50884, 53477, 51454, 63998, 52763, 52436, 50841, 52380, 50828, 53786, 73938, 54739, 51467, 64382, 51193, 56246, 51193, 57109, 50798, 51916, 57583, 51193, 53650, 52656, 50841, 51193, 52816, 53754, 51464, 57110, 51193, 56046, 51193, 62519, 51105, 50835, 51193, 53871, 51539, 50820, 55563, 50805, 51020, 54739, 51406, 57030, 51020, 57705, 51020, 64600, 52436, 50839, 53786, 50818, 53319, 68127, 53871, 51833, 52761, 51020, 52816, 54382, 51464, 60916, 51020, 53423, 51020, 63655, 51325, 54534, 51833, 57074, 51020, 52437, 69093, 52436, 50841, 53786, 50884, 53319, 68204, 54739, 51467, 68564, 51020, 54660, 51020, 56839, 51020, 50884, 57309, 57393, 51833, 52818, 52656, 68127, 54739, 53754, 51539, 57398, 51020, 54986, 51020, 61385, 51105, 53618, 51916, 58286, 51020, 52565, 51325, 50938, 51061, 54749, 51406, 64562, 51061, 54735, 51061, 58408, 52436, 50839, 53319, 50828, 53786, 53871, 51916, 60362, 51061, 52878, 51061, 52816, 53754, 51464, 57728, 51061, 54525, 51061, 64915, 51325, 50938, 55533, 59387, 51750, 58510, 51061, 53035, 52436, 50839, 53319, 50846, 53786, 77185, 54739, 51437, 60752, 51061, 56883, 51061, 57297, 63998, 58677, 51061, 53650, 52656, 50828, 51061, 54739, 53754, 51539, 57950, 51061, 65493, 51105, 55136, 51437, 50841, 53870, 50865, 51341, 53756, 51406, 64301, 51341, 55927, 51341, 63672, 52436, 50828, 53786, 50818, 52380, 52816, 51833, 63094, 51341, 53829, 51341, 54739, 54382, 51437, 59136, 51341, 53423, 51341, 59095, 51105, 55136, 51833, 60341, 51341, 53855, 51096, 50917, 53786, 50846, 52380, 50818, 52436, 53756, 51406, 57334, 51341, 70690, 51341, 63519, 51341, 50884, 57309, 59579, 51916, 59277, 51341, 50846, 51974, 54382, 51464, 59076, 51341, 59311, 51341, 61385, 51096, 50839, 51341, 53871, 51750, 53115, 51105, 50938, 51020, 54739, 51406, 58159, 51020, 53905, 51020, 65809, 53786, 50884, 52436, 50841, 52380, 68127, 53756, 52223, 53325, 51020, 52816, 53754, 51437, 57028, 51020, 53641, 51020, 66119, 51105, 50917, 53477, 76360, 51916, 57723, 51020, 53533, 52436, 50818, 52380, 50846, 53786, 76162, 54749, 51467, 64382, 51193, 56883, 51193, 60053, 62235, 59644, 51193, 53685, 51193, 53871, 53754, 51437, 57059, 51193, 56046, 51193, 57319, 51105, 50835, 51193, 53871, 51539, 50839, 52354, 50938, 51810, 53852, 51437, 57666, 51810, 56092, 51810, 64600, 52172, 50846, 53786, 50895, 52380, 50818, 51810, 53871, 51833, 53223, 51810, 54739, 53754, 51437, 58092, 51810, 54069, 51810, 64527, 50945, 54200, 51833, 57074, 51810, 53150, 69741, 52172, 50828, 53786, 50884, 52380, 50846, 51810, 54749, 51187, 64561, 51810, 54660, 51810, 58854, 51810, 50884, 57309, 57825, 51916, 53031, 51810, 53871, 53754, 51437, 59076, 51810, 54986, 51810, 61385, 50964, 54200, 51750, 58286, 51810, 52565, 73429, 51546, 54162, 51406, 64562, 51546, 53905, 51546, 58408, 52172, 50846, 52380, 50828, 53786, 50846, 51546, 53871, 51750, 53114, 51546, 52816, 54382, 51464, 59224, 51546, 54926, 51546, 63865, 50945, 50834, 53477, 59387, 51750, 57723, 51546, 53035, 50964, 50925, 52172, 50828, 52380, 50828, 53786, 50818, 51546, 52816, 51467, 64382, 51546, 56883, 51546, 57109, 63998, 58677, 51546, 53650, 51546, 52816, 54382, 51539, 59552, 51546, 56419, 51546, 57319, 50964, 54200, 51464, 50820, 52354, 51060, 51092, 53756, 51467, 67722, 51092, 55927 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 381, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 9, 40286, 163, 119, 6, 272, 6, 272, 401, 6, 274, 10431, 6, 8, 163, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 19, 10, 12701, 4450, 20889, 9, 17445, 13410, 228, 2289, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 10686, 13, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 59626, 68134, 51315, 51492, 50426, 50973, 51724, 50861, 51757, 63282, 55524, 50800, 55524, 51620, 50973, 51724, 50861, 51757, 63282, 53975, 69259, 51492, 53975, 51620, 50876, 51724, 50877, 51757, 57031, 57126, 50800, 53975, 62549, 50876, 51724, 50877, 51757, 57031, 57126, 70419, 51036, 57551, 50830, 50916, 60010, 50973, 53244, 51315, 50830, 50877, 53402, 51315, 50830, 50861, 53484, 51315, 50830, 77206, 57551, 50830, 50916, 56908, 50916, 51620, 51315, 50830, 50916, 56080, 50916, 51724, 51315, 50830, 50916, 51798, 51315, 50830, 50916, 50795, 57551, 50830, 50916, 56908, 50973, 53244, 51315, 50830, 50877, 53402, 51315, 50830, 50861, 53484, 51315, 50830, 77206, 53997, 50830, 50900, 56908, 50899, 51620, 50900, 50818, 51085, 63395, 50900, 57083, 50899, 53402, 50900, 69259, 57225, 50899, 53484, 51085, 50830, 64566, 53997, 50830, 50900, 60010, 50876, 53244, 51085, 50830, 50973, 53402, 51085, 50830, 50877, 53484, 51085, 50830, 58537, 53997, 50830, 50989, 56908, 50861, 51620, 51085, 50830, 50989, 56080, 50861, 51724, 51085, 50830, 50989, 51798, 51085, 50830, 50989, 50795, 53997, 50830, 50900, 60010, 50876, 53244, 51085, 50830, 50973, 53402, 51085, 50830, 50877, 53484, 51085, 50830, 58537, 58066, 50830, 50916, 56908, 50916, 51620, 50989, 50818, 51324, 63395, 50989, 51724, 51324, 50830, 50989, 57225, 50989, 51757, 63282, 51324, 75087, 50989, 56637, 63282, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2635, 8, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 21072, 6, 13305, 6, 13602, 6757, 6, 38668, 3038, 6, 8, 21979, 9590, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 8301, 741, 1685, 6, 2351, 10, 980, 219, 8, 2829, 2933, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 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 ]

[ 57530, 50871, 71068, 51140, 54994, 50877, 51631, 50876, 56645, 51736, 50877, 51646, 50900, 59006, 71068, 51461, 56027, 50877, 51798, 50876, 56645, 51923, 50877, 50795, 50799, 54629, 57055, 71068, 51140, 54994, 50877, 51631, 54531, 54666, 76291, 53867, 50807, 52190, 53182, 54629, 56036, 51646, 53792, 60339, 59006, 71068, 51461, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 53792, 56036, 50795, 50799, 60750, 65757, 56730, 55673, 50795, 52157, 54994, 50871, 51631, 56337, 56730, 55673, 50795, 53867, 50807, 52190, 53182, 60750, 59006, 51646, 55995, 57055, 54666, 76291, 51140, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 50877, 50795, 50799, 56337, 65757, 56730, 55673, 50795, 52157, 54994, 50871, 51631, 55995, 55673, 76291, 53867, 50807, 52190, 53182, 55833, 59006, 51646, 54629, 57055, 71068, 51140, 56027, 50877, 51798, 53792, 54666, 76291, 53867, 50807, 52190, 53312, 54531, 56036, 50795, 50799, 54629, 68518, 54828, 55673, 59514, 54994, 50973, 51631, 55995, 56931, 55673, 79564, 53867, 50807, 52190, 53182, 54629, 56190, 51646, 54531, 60339, 54828, 71068, 51461, 56027, 50861, 51798, 50876, 55648, 50795, 53867, 50807, 52190, 53312, 77916, 50799, 54629, 59006, 71068, 51140, 54994, 54629, 56036, 51631, 54531, 54666, 76291, 53867, 50807, 52190, 53182, 54629, 56036, 51646, 53792, 57055, 71068, 51461, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 53792, 56036, 50795, 50799, 60750, 64823, 56730, 55673, 50795, 52157, 54994, 60750, 59006, 51631, 56337, 56730, 55673, 50795, 53867, 50807, 52190, 53182, 60750, 59006, 51646, 55995, 57055, 71068, 51140, 56027, 50877, 51798, 50876, 76291, 53867, 50807, 52190, 53312, 50877, 50795, 50799, 56337, 64823, 56730, 55673, 50795, 52157, 54994, 56337, 59006, 51631, 55995, 56730, 55673, 50795, 53867, 50807, 52190, 53182, 55833, 59006, 51646, 54629, 57055, 71068, 51140, 56027, 50877, 51798, 53792, 54666, 76291, 53867, 50807, 52190, 53312, 54531, 56036, 50795, 50799, 54629, 58035, 54828, 71068, 51461, 54994, 54629, 54828, 51631, 54531, 54666, 55648, 50795, 53867, 50807, 52190, 53182, 54531, 54828, 51646, 53792, 57055, 71068, 51140, 55755, 50807, 51769, 62550, 53218, 50877, 52108, 51798, 50876, 56645, 52108, 50869, 50598, 50807, 52190, 50807, 54706, 51754, 50877, 60020, 52567, 51326, 50800, 50799, 54629, 60339, 60110, 51140, 50918, 53952, 50918, 53256, 51036, 52892, 51036, 55450, 52356, 58790, 53872, 52115, 50877, 55154, 51631, 54531, 54666, 56645, 51626, 60020, 63263, 51736, 54629, 56036, 55154, 51646, 53792, 57055, 54666, 76291, 51461, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 53792, 56036, 70520, 50799, 60750, 65757, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 50871, 55154, 51631, 56337, 56730, 55673, 51626, 60020, 63263, 51736, 60750, 59006, 55154, 51646, 55995, 57055, 54666, 76291, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 50877, 70520, 50799, 56337, 65757, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 50871, 55154, 51631, 55995, 55673, 56645, 51626, 60020, 63263, 51736, 55833, 59006, 55154, 51646, 54629, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 53792, 54666, 56645, 63734, 61202, 63263, 51923, 54531, 56036, 70520, 50799, 54629, 68518, 54828, 55673, 59514, 50918, 53205, 50918, 54921, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 50973, 55154, 51631, 55995, 56931, 55673, 57022, 51626, 60020, 63263, 51736, 54629, 56190, 55154, 51646, 54531, 60339, 54828, 71068, 51461, 50918, 53205, 50918, 52892, 50918, 53281, 55755, 53872, 55154, 51918, 50861, 51650, 55154, 51798, 50876, 55648, 63734, 61202, 63263, 51923, 50861, 70520, 50799, 54629, 59006, 71068, 51140, 50918, 53952, 50918, 53256, 51036, 52892, 51036, 55450, 51769, 53872, 52115, 54629, 56036, 55154, 51631, 54531, 54666, 56645, 51626, 60020, 63263, 51736, 54629, 56036, 55154, 51646, 53792, 57055, 71068, 51140, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 53792, 56036, 70520, 50799, 60750, 64823, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 60750, 59006, 55154, 51631, 56337, 56730, 55673, 51626, 60020, 63263, 51736, 60750, 59006, 55154, 51646, 55995, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 50876, 56645, 63734, 61202, 63263, 51923, 50877, 70520, 50799, 56337, 64823, 56730, 55673, 50795, 52157, 50918, 53952, 50918, 53799, 50918, 52451, 50918, 55450, 51769, 53872, 52115, 56337, 59006, 55154, 51631, 55995, 56730, 55673, 51626, 60020, 63263, 51736, 55833, 59006, 55154, 51646, 54629, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 51650, 55154, 51798, 53792, 54666, 56645, 63734, 61202, 63263, 51923, 54531, 56036, 70520, 50799, 54629, 58035, 54828, 71068, 51461, 50918, 53205, 50918, 52892, 50918, 53281, 50918, 55450, 51769, 53872, 52115, 54629, 54828, 55154, 51631, 54531, 54666, 55648, 51626, 60020, 63263, 51736, 54531, 54828, 55154, 51646, 53792, 57055, 71068, 51140, 50918, 53952, 50918, 53256, 50918, 52892, 55755, 53872, 55154, 51918, 50877, 52108, 55154, 51798, 50876, 56645, 52108, 54772, 63263, 55000, 51289, 51754, 50877, 56971, 52085, 54093, 51224, 50800, 58106, 50871, 63831, 75377, 50931, 50918, 51140, 53305, 69191, 50807, 51321, 50807, 51769, 62550, 50807, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20425, 5175, 37903, 11, 272, 3694, 6, 4246, 10, 1769, 20889, 8, 10, 33215, 16739, 9, 211, 119, 6, 230, 6, 163, 428, 401, 6, 211, 6, 8, 230, 6, 7630, 14805, 10, 11739, 9, 15352, 30054, 8, 2933, 23225, 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 ]

[ 56236, 51214, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50871, 62405, 51247, 54253, 51247, 51736, 50861, 62369, 52046, 51918, 52046, 58509, 51798, 52046, 58035, 68862, 51247, 50795, 54795, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50871, 62405, 51247, 54253, 51247, 51736, 50861, 62369, 52206, 51918, 52206, 58509, 51798, 52206, 56931, 51923, 52046, 58035, 50807, 54795, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50871, 62405, 51247, 54253, 51247, 51736, 50861, 62369, 52046, 51918, 52046, 58509, 51798, 52046, 56931, 51923, 51247, 58035, 50807, 54795, 52115, 50899, 53471, 51214, 51631, 50861, 54253, 51214, 51736, 50877, 53505, 51214, 51646, 50906, 53218, 51214, 51798, 50861, 51923, 50877, 50807, 54734, 52115, 50956, 62405, 51247, 54253, 51247, 51736, 50861, 51358, 50435, 52206, 51918, 52206, 51798, 52206, 51923, 52046, 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, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 29589, 6, 9590, 6, 8, 2236, 1021, 2678, 29, 4, 85, 18, 11, 5, 762, 9, 230, 538, 19, 10, 27841, 139, 20889, 6, 1311, 24, 41, 14899, 8, 20902, 619, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 274, 119, 1176, 406, 6, 8, 230, 3639, 7, 5, 32076, 5466, 6, 442, 24, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 77629, 59412, 51924, 51505, 50426, 51338, 51427, 51479, 58860, 55760, 50993, 50437, 51893, 52322, 51181, 63576, 52750, 57512, 56387, 50993, 50449, 52004, 63233, 51374, 60467, 52750, 56721, 58001, 50975, 50461, 52700, 51761, 62871, 51059, 51132, 51541, 51855, 51605, 51882, 51036, 52561, 51036, 50856, 52773, 60879, 55239, 51144, 51388, 51280, 51354, 51119, 60947, 77732, 52448, 58860, 58051, 50433, 51132, 52304, 61284, 52700, 50824, 54683, 76821, 54452, 57512, 55760, 52097, 50445, 55723, 51144, 51388, 51280, 51054, 51119, 72432, 77732, 52448, 58614, 58051, 50455, 52700, 51407, 50457, 51842, 62871, 50824, 51132, 51573, 51882, 51605, 52914, 51605, 52561, 51605, 51855, 51353, 50791, 54279, 60879, 55239, 51561, 51354, 51144, 51354, 50885, 51054, 50979, 51054, 50872, 56351, 58860, 51280, 51354, 51119, 51388, 50850, 51054, 50433, 51132, 51049, 57413, 52004, 51290, 57842, 51460, 51479, 73898, 53366, 50993, 50445, 51842, 50449, 51893, 69323, 51561, 51354, 51280, 51388, 51119, 51388, 51349, 51227, 50885, 51054, 50979, 51054, 50872, 56351, 58614, 51144, 50923, 52537, 51932, 50850, 51054, 50457, 51842, 50461, 51390, 52512, 64955, 51059, 51526, 51226, 52561, 51492, 52077, 51492, 52086, 51492, 50791, 54452, 60879, 55239, 51144, 51354, 50848, 77732, 52448, 58860, 51198, 51354, 51308, 51460, 64361, 50433, 51526, 51049, 59380, 51893, 51226, 57097, 52195, 50791, 54452, 57512, 52785, 51300, 50445, 55723, 51144, 51054, 51308, 77303, 77732, 52448, 58614, 51198, 51054, 64361, 50457, 51842, 50461, 52004, 51009, 64955, 51059, 51526, 67116, 54279, 60879, 55239, 51144, 51054, 51308, 77303, 51059, 50872, 52448, 58860, 51198, 51054, 50939, 51059, 50433, 51526, 50859, 51842, 50437, 51924, 51379, 54585, 60397, 54452, 57512, 52537, 51354, 50445, 51842, 50449, 51390, 54526, 51308, 51354, 51144, 51354, 51198, 51460, 51137, 51460, 50848, 77732, 52448, 58614, 53366, 50993, 64361, 50457, 51842, 50461, 51334, 52195, 62871, 50824, 51132, 51090, 51855, 51605, 52561, 51605, 51882, 51036, 50791, 54452, 60879, 55239, 51144, 51354, 51280, 51460, 50885, 51237, 50872, 62461, 58860, 51119, 51354, 50850, 51237, 50433, 51132, 51421, 57514, 51893, 51541, 54683, 79108, 54452, 57512, 55760, 50993, 50445, 55723, 51144, 51460, 51119, 51460, 51132, 51167, 50885, 77732, 52448, 58614, 51280, 51603, 52785, 51483, 58051, 50455, 51334, 50940, 50457, 51842, 50461, 54280, 50824, 58637, 51059, 51416, 51226, 51813, 51605, 52642, 51605, 52077, 51605, 51882, 51605, 50791, 54279, 60879, 79967, 52004, 69555, 51232, 51460, 51706, 51460, 50885, 51237, 50868, 51237, 50847, 62461, 58860, 51280, 51354, 51099, 51460, 50909, 51237, 50433, 51416, 50859, 51842, 50437, 51893, 54527, 50438, 53366, 51300, 51137, 51285, 50791, 54452, 59587, 60347, 51099, 60947, 50993, 50868, 73434, 50852, 65780, 51706, 50923, 51280, 50923, 51232, 51388, 67696, 60603, 56073, 51132, 50824, 51855, 51036, 52561, 51036, 51882, 51036, 50885, 51795, 50872, 51795, 50856, 54452, 55534, 51144, 56073, 51119, 56073, 52785, 51184, 50850, 51795, 50421, 51468, 51544, 59009, 51132, 54441, 51044, 53945, 51132, 52442, 51327, 50860, 51981, 51805, 54452, 52267, 51327, 50802, 52287, 62485, 51468, 52320, 52884, 51327, 50823, 51981, 65414, 51842, 77034, 50802, 52287, 51331, 54279, 52302, 51327, 50823, 51825, 67721, 55239, 51249, 50860, 51457, 52715, 52726, 51249, 50860, 51327, 65174, 53552, 52896, 51457, 50860, 51249, 52715, 54452, 52267, 51249, 50823, 51818, 67505, 60347, 51416, 51379, 51457, 80221, 55469, 53875, 51249, 50823, 51327, 50823, 52894, 51362, 52700, 51103, 51327, 51419, 52287, 51542, 50791, 54452, 55534, 51893, 51562, 51825, 51318, 51249, 51072, 51303, 51066, 50421, 51468, 51544, 59009, 51132, 50840, 51303, 50803, 51249, 52651, 51239, 57514, 54280, 51077, 54908, 51541, 52004, 51417, 51825, 51477, 52932, 51318, 51327, 51419, 50791, 54452, 57512, 51303, 50823, 51414, 67505, 51231, 51059, 51468, 52320, 60370, 51842, 52894, 51237, 52700, 51562, 54193, 51413, 51825, 51477, 52287, 51542, 51327, 51419, 50791, 54279, 55534, 51303, 51066, 51249, 51066, 50421, 51468, 51544, 59009, 51132, 50887, 51303, 50803, 51249, 52651, 51044, 50837, 54908, 51745, 55899, 51417, 54280, 51103, 52932, 51542, 51327, 51542, 51825, 51381, 51414, 51805, 54452, 57512, 51303, 67505, 51231, 51059, 60347, 50852, 50836, 52894, 51541, 52700, 51145, 54193, 51183, 51327, 51542, 52287, 51679, 51825, 51679, 50791, 54452, 55534, 51249, 51072, 51303, 51072, 50421, 51468, 51544, 59009, 51132, 50882, 51249, 50811, 51303, 52651, 51044, 50864, 54908, 51541, 52004, 51183, 54280, 51103, 52932, 51283, 51327, 51381, 51825, 51283, 50791, 54452, 57512, 51414, 67289, 51231, 51059, 51468, 52320, 60370, 51842, 52894, 51138, 51893, 52071, 52700, 52069, 52287, 50978, 51825, 50987, 51327, 61509, 54279, 55534, 51249, 50823, 51303, 67721, 55239, 51338, 51379, 51981, 51592, 51327, 51939, 51818, 51939, 50852, 63567, 55760, 50975, 51964, 51603, 51476, 61445, 52176, 51603, 51181, 50980, 51410, 55886, 59071, 56387, 50993, 50445, 55723, 52533, 51354, 51374, 50980, 51465, 66888, 63793, 58001, 51066, 62871, 51059, 51132, 51573, 51882, 51036, 51855, 51036, 52561, 51036, 51334, 54158, 53672, 60879, 55239, 51144, 51354, 50885, 77732, 52448, 58860, 51280, 51388, 51119, 50923, 52700, 51138, 50850, 53566, 52004, 51541, 50433, 51132, 51864, 53945, 51132, 51551, 51479, 73898, 52785, 51300, 50445, 55723, 51144, 51603, 51893, 51138, 50885, 77732, 52448, 58614, 51280, 51454, 51119, 51354, 58051, 50457, 51842, 58637, 50824, 51416, 50896, 52642, 51291, 51813, 51291, 51882, 51291, 51924, 78487, 54279, 60879, 55239, 51232, 51054, 51099, 51054, 50885, 51745, 50868, 51745, 50847, 62461, 58860, 51280, 51054, 51893, 50948, 50909, 73080, 51390, 51237, 50433, 51416, 51421, 50837, 55511, 52097, 52077, 51048, 52086, 51048, 52561, 63677, 54452, 57512, 53038, 51300, 50444, 51924, 51237, 50445, 60347, 51232, 50923, 51099, 50923, 51280, 51021, 51813, 50967, 52642, 50967, 51882, 50991, 50885, 59568, 56602, 52448, 58614, 68574, 50457, 51842, 62871, 50824, 51132, 51054, 51882, 53520, 52561, 53520, 51855, 53520, 51334, 76347, 54452, 60879, 55239, 51144, 51388, 51280, 51388, 51119, 60947, 77732, 52448, 58860, 58051, 50433, 51132, 51239, 50864, 54908, 68696, 54452, 57512, 51964, 51009, 50445, 55723, 51144, 50923, 51280, 60947, 51237, 50872, 62461, 58614, 51119, 61050, 51237, 50457, 51842, 62871, 50824, 51132, 56168, 54279, 60879, 55239, 51144, 51388, 51280, 51388, 50885, 77732, 52448, 58860, 51119, 61050, 70245, 51132, 50840, 51842, 50436, 52700, 53663, 51132, 63576, 54452, 57512, 52785, 50993, 50445, 60347, 51706, 51388, 51232, 51388, 51137, 51460, 51813, 51048, 52077, 51048, 51882, 51048, 52642, 51048, 50868, 59583, 50939, 52448, 58614, 51280, 50923, 51099, 50923, 53366, 50975, 54280, 51014, 68574, 50457, 51842, 50458, 54193, 50824, 67094, 50824, 51349, 51090, 51855, 51036, 51882, 51036, 52642, 51036, 50791, 54452, 60879, 55239, 51232, 51603, 51280, 51454, 51119, 51460, 50885, 51745, 50868, 62461, 58860, 54193, 69394, 73080, 54193, 59786, 51349, 51406, 50864, 54585, 77799, 54452, 57512, 52537, 51300, 50445, 52700, 51066, 55723, 51232, 51388, 51280, 51021, 51119, 60947, 59568, 52448, 58614, 58051, 50457, 51842, 50461, 52004, 51072, 71803 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 5540, 13305, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 15229, 17384, 12049, 9, 657, 8, 7630, 6568, 10, 3344, 9, 8597, 6, 3284, 2351, 10, 19448, 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, 0, 0, 0, 0, 0, 0 ]

[ 73566, 51197, 65208, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50876, 51124, 50447, 50956, 50812, 60216, 72316, 60763, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 79438, 61581, 60763, 64050, 51176, 79438, 61581, 50914, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50965, 50914, 50435, 50997, 52841, 51040, 51124, 50931, 50914, 50447, 50956, 50812, 72316, 60763, 52903, 70562, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 72316, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 74968, 69517, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50902, 51124, 50447, 70835, 60437, 74968, 64424, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 69796, 63925, 64424, 51103, 62335, 69796, 63925, 50914, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 51124, 50956, 51124, 71356, 50906, 50914, 50435, 50900, 52841, 50956, 51124, 50951, 50914, 50447, 70835, 74968, 64424, 53259, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50447, 70835, 74968, 55973, 50997, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50876, 50914, 50447, 70835, 51034, 50931, 51103, 51247, 51486, 50956, 51486, 53645, 51103, 50965, 64050, 51001, 50914, 51034, 50951, 51800, 50290, 51486, 50899, 51486, 53645, 51103, 50973, 51103, 50951, 51103, 51034, 50931, 51800, 50294, 51486, 50900, 79216, 51001, 61581, 51103, 50965, 64050, 50931, 50914, 51034, 51214, 51486, 51086, 51486, 50951, 51486, 53645, 51103, 76514, 51034, 50951, 51103, 51503, 51486, 50900, 52149, 56040, 51103, 50965, 64050, 50931, 51124, 50447, 68278, 51034, 51081, 51413, 51503, 51486, 56040, 63403, 50914, 50435, 51147, 52841, 50951, 51124, 50956, 63403, 50914, 50447, 66188, 51034, 50951, 51413, 51214, 51486, 53645, 63925, 50914, 50435, 50931, 52841, 50951, 51124, 50871, 63925, 50914, 50447, 66188, 51034, 50951, 51103, 51214, 51486, 51086, 51486, 53645, 63925, 55965, 50871, 63925, 64424, 50914, 51034, 50931, 51103, 51966, 51486, 50997, 51486, 61104, 51103, 50989, 64050, 51001, 50914, 74968, 51486, 50931, 52903, 56759, 67997, 57743, 53308, 50997, 67997, 57743, 53470, 50997, 69796, 61581, 50914, 75424, 67997, 57743, 51519, 50285, 50914, 56363, 67997, 57743, 53466, 51247, 78389, 69796, 61581, 55965, 51247, 78389, 69796, 61581, 50914, 72316, 65208, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50876, 51124, 50447, 50956, 50812, 60216, 72316, 60763, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 79438, 61581, 60763, 64050, 51176, 79438, 61581, 50914, 72316, 61581, 69027, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50871, 51124, 50447, 50956, 66966, 50812, 72316, 61581, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50965, 50914, 50435, 50997, 52841, 50931, 51519, 50305, 79954, 51001, 54672, 50956, 50812, 63417, 72316, 60763, 52903, 70562, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 72316, 55973, 51176, 51124, 51040, 51124, 50871, 51124, 50435, 50997, 52841, 51040, 51124, 50447, 50956, 50812, 74968, 69517, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50902, 51124, 50447, 70835, 60437, 74968, 64424, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 69796, 63925, 64424, 51103, 62335, 69796, 63925, 50914, 74968, 63925, 51103, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 71356, 50447, 50871, 58963, 50812, 74968, 63925, 55973, 50997, 51124, 50956, 51124, 71356, 50906, 50914, 50435, 50900, 52841, 50951, 67997, 79954, 50931, 54672, 70835, 58368, 74968, 64424, 53259, 56759, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50447, 70835, 74968, 55973, 50997, 51124, 50956, 51124, 71356, 50435, 50900, 52841, 50956, 51124, 50876, 50914, 50447, 70835, 51034, 50931, 51103, 51247, 51486, 50956, 51486, 53645, 51103, 50965, 64050, 51001, 50914, 51034, 50951, 51800, 50290, 51486, 50899, 51486, 53645, 51103, 50973, 51103, 50951, 51103, 51034, 50931, 51800, 50294, 51486, 50900, 79216, 51001, 61581, 51103, 50965, 64050, 50931, 50914, 51034, 51214, 51486, 51086, 51486, 50951, 51486, 53645, 51103, 76514, 51034, 50951, 51103, 51503, 51486, 50900, 52149, 56040, 51103, 50965, 64050, 50931, 51124, 50447, 68278, 51034, 51081, 51413, 51503, 51486, 56040, 63403, 50914, 50435, 51147, 52841, 50951, 51124, 50956, 63403, 50914, 50447, 66188, 51034, 50951, 51413, 51214, 51486, 53645, 63925, 50914, 50435, 50931, 52841, 50951, 51124, 50871, 63925, 50914, 50447, 66188, 51034, 50951, 51103, 51214, 51486, 51086, 51486, 53645, 63925, 55965, 50871, 63925, 64424, 50914, 51034, 50931, 51103, 51966, 51486, 50997, 51486, 61104, 51103, 50989, 64050, 51001, 50914, 74968, 51486, 50931, 52903, 53645, 58801, 60763, 71606, 56217, 50956, 53470, 50900, 58801, 60763, 71606, 56157, 50956, 50849, 71213, 51519, 50285, 57519, 51050, 53466, 51027, 51519, 50285, 61915, 60763, 71606, 50914, 56014, 53470, 51247, 69796, 61915, 60763, 71606, 50914, 51034, 50931, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 62204, 51124, 50447, 60216, 51034, 77113, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 63808, 51124, 50447, 62257, 71213, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 57019, 51124, 50447, 50956, 50812, 71213, 51800, 50290, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 77113, 71213, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 57019, 51124, 50447, 50956, 50812, 71213, 51800, 50295, 51486, 61104, 51103, 50871, 51103, 76514, 77113, 71213, 51103, 51503, 51486, 53523, 51103, 50956, 51103, 50965, 51103, 57019, 51124, 50447, 50956, 50812, 71213, 61581, 55973, 50965, 69796, 51103, 63809, 74127, 60763, 50914, 51034, 50931, 51103, 51234, 51486, 61104, 51103, 50871, 51103, 50965, 51103, 62204, 51124, 50447, 60216, 51034, 77113, 51234, 51486, 61104, 51103, 50871, 51103, 50965 ]

[ 0, 4688, 20425, 8, 15352, 30054, 3152, 8, 5175, 24904, 6, 42, 2214, 1575, 10, 6878, 11739, 9, 2342, 4467, 6, 81, 9756, 8669, 6, 6755, 12547, 6, 38668, 483, 6, 8, 21072, 6, 70, 1759, 25688, 5, 15229, 556, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2125, 29769, 198, 10, 33215, 16739, 9, 230, 6, 3676, 406, 6, 230, 6, 8, 272, 6, 2351, 41, 7580, 8, 17627, 17274, 5466, 19, 12577, 2933, 8, 9066, 223, 34693, 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 ]

[ 56236, 50426, 59666, 62462, 50700, 50280, 52024, 50438, 59666, 51245, 52596, 59666, 62462, 50799, 59666, 51245, 52483, 59666, 51497, 52446, 59666, 51497, 52596, 59666, 69885, 50799, 59666, 51404, 52483, 75875, 64885, 53090, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52483, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 60691, 51077, 50799, 59666, 51497, 52483, 59666, 69885, 59439, 53090, 50438, 59666, 51404, 52596, 59666, 69885, 50799, 59666, 51404, 52483, 59666, 51404, 52446, 59666, 51404, 52596, 59666, 69885, 60691, 51077, 50799, 59666, 51404, 52483, 75875, 64885, 52024, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52483, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52483, 59666, 62462, 50700, 50280, 52024, 51107, 51991, 50438, 59666, 51245, 52596, 59666, 62462, 50799, 59666, 51245, 52864, 51093, 53363, 50426, 59666, 51497, 52446, 59666, 51497, 52596, 59666, 69885, 50799, 59666, 51404, 52483, 75875, 64885, 53090, 51107, 51991, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52864, 51093, 51623, 50426, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 60691, 51077, 51201, 51077, 50799, 59666, 51497, 52483, 59666, 69885, 59439, 53090, 51107, 51991, 50438, 59666, 51404, 52596, 59666, 69885, 50799, 59666, 51404, 52864, 51093, 53363, 50426, 59666, 51404, 52446, 59666, 51404, 52596, 59666, 69885, 60691, 51077, 50799, 59666, 51404, 52483, 75875, 64885, 52024, 51107, 51991, 50438, 59666, 51497, 52596, 75875, 50799, 59666, 51497, 52864, 51093, 53363, 50426, 59666, 51497, 52446, 59666, 51497, 52596, 75875, 51752, 52325, 51596, 50802, 50799, 75875, 51752, 52410, 51606, 52038, 59666, 62462, 52143, 50987, 51335, 51264, 51789, 52030, 52143, 58346, 59666, 62462, 52143, 61255, 52143, 58038, 59666, 62462, 52143, 60077, 52143, 50987, 50799, 59666, 62462, 52143, 61062, 52143, 58192, 75875, 52143, 60539, 52143, 58346, 75875, 52143, 61255, 52143, 58038, 59666, 69885, 52143, 60077, 52143, 50987, 51752, 50802, 50799, 59666, 69885, 52143, 50987, 51752, 52410, 52143, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 58348, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 61255, 51887, 58038, 75875, 51887, 60077, 51699, 50987, 51752, 50802, 50799, 75875, 51699, 50987, 51752, 52410, 51699, 50987, 51606, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 50987, 51596, 52313, 51883, 50987, 51752, 58348, 59666, 69885, 51883, 60077, 51883, 50987, 52155, 50824, 50799, 59666, 69885, 51883, 61062, 51883, 50987, 51565, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 61255, 51883, 58038, 59666, 69885, 51883, 60077, 51699, 50987, 51752, 50802, 50799, 59666, 69885, 51699, 51363, 51752, 52410, 51565, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 58348, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51565, 59101, 75875, 51887, 60539, 51887, 50987, 51565, 61445, 75875, 51887, 61255, 51887, 50987, 51789, 52175, 75875, 51887, 50987, 51596, 52325, 51887, 50987, 51752, 50802, 50799, 75875, 51887, 50987, 51752, 52410, 51887, 50987, 51606, 52038, 59666, 62462, 52143, 50987, 51335, 51264, 51789, 52030, 52143, 58346, 59666, 62462, 52143, 61255, 52143, 58038, 59666, 62462, 52143, 60077, 52143, 50987, 50799, 59666, 62462, 52143, 61062, 52143, 58192, 75875, 52143, 60539, 52143, 58346, 75875, 52143, 61255, 52143, 58038, 59666, 69885, 52143, 60077, 52143, 50987, 51752, 50802, 50799, 59666, 69885, 52143, 50987, 51752, 52410, 52143, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 58348, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51606, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 61255, 51887, 58038, 75875, 51887, 60077, 51699, 50987, 51752, 50824, 50799, 75875, 51699, 50987, 51752, 51795, 50420, 51699, 50987, 51606, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 50987, 51596, 52313, 51883, 50987, 51752, 52737, 50450, 59666, 69885, 51883, 60077, 51883, 50987, 52155, 50824, 50799, 59666, 69885, 51883, 61062, 51883, 50987, 51565, 54107, 59666, 69885, 51883, 60539, 51883, 50987, 51789, 52125, 59666, 69885, 51883, 61255, 51883, 58038, 59666, 69885, 51883, 60077, 51699, 50987, 51752, 51184, 50799, 59666, 69885, 51699, 51363, 51752, 77076, 51565, 54107, 75875, 51887, 60539, 51887, 50987, 51789, 52125, 75875, 51887, 50987, 51596, 52313, 51887, 50987, 51752, 52737, 50450, 75875, 51887, 60077, 51887, 50987, 52155, 50824, 50799, 75875, 51887, 61062, 51887, 50987, 51565, 59101, 75875, 51887, 60539, 51887, 50987, 51565, 61445, 75875, 51887, 61255, 51887, 50987, 51789, 52175, 75875, 51887, 50987, 51596, 52325, 51887, 50987, 51752, 51732, 50799, 75875, 51887, 50987, 51752, 77076, 51887, 50987, 51606, 52038, 59666, 62462, 50700, 50280, 50805, 52143, 69237, 61373, 50805, 51789, 52030, 50700, 50280, 50805, 52143, 61098, 52446, 59666, 62462, 50700, 50280, 50805, 52143, 57616, 76464, 50700, 50280, 50805, 52143, 61098, 52596, 59666, 62462, 50700, 50280, 50805, 52143, 69237, 57314, 51886, 51127, 50456, 50700, 50280, 50805, 52143, 61098, 50805, 50799, 59666, 62462, 50700, 50280, 50805, 52143, 57616, 71510, 50700, 50280, 50805, 52143, 61098, 52483, 75875, 50700, 50280, 50805, 52143, 69237, 57314, 51673, 51218, 50432, 50700, 50280, 50805, 52143, 61098, 52446, 75875, 50700, 50280, 50805, 52143, 57616, 76464, 50700, 50280, 50805, 52143, 61098, 52596, 59666, 69885, 50700, 50280, 50805, 52143, 69237, 76375, 50700, 50280, 50805, 52143, 61098, 50805, 51752, 51184, 50799, 59666, 69885, 50700, 50280, 50805, 52143, 57616, 57314, 51752, 77076, 50700, 50280, 50805, 52143, 61098, 50805, 51606, 54107, 75875, 64885, 50805, 51887, 69237, 76374, 64885, 50805, 51887, 61098, 50805, 51789, 52125, 75875, 64885, 50805, 51887, 57616, 57314, 51596, 52313, 64885, 50805, 51887, 61098, 50805, 51752, 51732, 50450, 75875, 64885, 50805, 51887, 69237, 76375, 64885, 50805, 51887, 61098, 50805, 52155, 50824, 50799, 75875, 64885, 50805, 51887, 57616, 71510, 64885, 50805, 51887, 61098, 50805, 51606, 54107, 75875, 64885, 50805, 51887, 69237, 76374, 64885, 50805, 51887, 61098, 50805, 51789, 52125, 75875, 64885, 50805, 51887, 57616, 76464, 64885, 50805, 51887, 61098, 52596, 75875, 60691, 50805, 51887, 69237, 76375, 60691, 50805, 51699, 61098, 50805, 51752, 51732, 50799, 75875, 60691, 50805, 51699, 57616, 57314, 51752, 77076, 60691, 50805, 51699, 61098, 50805, 51606, 54107, 59666, 69885, 59439, 50805, 51883, 69237, 76374, 59439, 50805, 51883, 61098, 50805, 51789, 52125, 59666, 69885, 59439, 50805, 51883, 57616, 57314, 51596, 52313, 59439, 50805, 51883, 61098, 50805, 51752, 51732, 50450, 59666, 69885, 59439, 50805, 51883, 69237, 76375, 59439, 50805, 51883, 61098, 50805, 52155, 50824, 50799, 59666, 69885, 59439, 50805, 51883, 57616, 71510 ]

[ 0, 713, 765, 5175, 2214, 6, 19, 10, 11602, 9, 3495, 6, 1575, 10, 15352, 30054, 21979, 8669, 816, 11, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 19448, 6, 5679, 26709, 5466, 19, 10, 3366, 219, 6, 980, 219, 16464, 4, 20, 33215, 16739, 1171, 211, 6, 163, 428, 6, 8, 211, 119, 406, 6, 1271, 7, 5, 2214, 18, 33535, 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 ]

[ 54458, 50426, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50979, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50979, 51148, 64170, 51803, 50420, 50939, 76906, 53160, 51313, 50432, 50872, 65680, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50872, 51148, 50872, 52096, 64170, 51803, 50420, 50909, 76906, 53160, 51313, 50432, 50848, 65680, 50850, 59791, 50847, 72269, 50850, 51318, 50456, 50848, 51148, 64170, 78377, 50850, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50979, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50979, 51148, 64170, 51803, 50420, 50939, 76906, 53160, 51313, 50432, 50848, 65680, 50850, 59791, 50847, 72269, 50850, 51318, 50456, 50848, 51148, 64170, 51803, 50420, 50850, 76906, 53160, 51662, 50432, 50848, 51313, 50438, 50850, 59791, 50847, 51662, 50450, 50850, 51662, 74015, 55126, 51688, 54335, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50979, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50979, 51148, 64170, 51803, 50420, 50939, 76906, 53160, 51313, 50432, 50872, 51313, 50438, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50872, 52096, 64170, 51803, 50420, 50909, 76906, 53160, 51313, 50432, 50848, 65680, 50850, 59791, 50847, 72269, 50850, 51318, 50456, 50848, 51148, 64170, 51803, 50420, 50850, 76906, 51332, 51313, 50432, 50885, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50885, 51148, 64170, 51803, 50420, 50939, 76906, 51171, 51313, 50432, 50885, 65680, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50885, 51148, 64170, 78377, 50909, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 72442, 51007, 68537, 50988, 51313, 50432, 50848, 65680, 50885, 59791, 50939, 72269, 79845, 50456, 50848, 51148, 76952, 51803, 57783, 76906, 51751, 51313, 50432, 51037, 65680, 50885, 59791, 50847, 72269, 79845, 50456, 51037, 51148, 64170, 51803, 57783, 58187, 51164, 51313, 50432, 50885, 54137, 50885, 59791, 50850, 72269, 50885, 54509, 64583, 63516, 51803, 57783, 58187, 51171, 51313, 50432, 50946, 65680, 50885, 59791, 50872, 51313, 50450, 79845, 50456, 50946, 51148, 61464, 52096, 57783, 76906, 50988, 51313, 50432, 50848, 65680, 50885, 59791, 50939, 72269, 79845, 50456, 50848, 51148, 76952, 51803, 57783, 76906, 51751, 51313, 50432, 51037, 65680, 50885, 59791, 50847, 72269, 79845, 50456, 51037, 51148, 64170, 51803, 57783, 76906, 51171, 51313, 50432, 50946, 65680, 50885, 59791, 50872, 51313, 50450, 79845, 50456, 50946, 51148, 61464, 55408, 57783, 76906, 51171, 51662, 50432, 50946, 51313, 50438, 50885, 59791, 50872, 52096, 50450, 50885, 51662, 74015, 55126, 51688, 54335, 50988, 51313, 50432, 50848, 65680, 50885, 59791, 50939, 72269, 79845, 50456, 50848, 51148, 76952, 51803, 57783, 76906, 51751, 51313, 50432, 51037, 65680, 50885, 59791, 50847, 72269, 79845, 50456, 51037, 51148, 64170, 51803, 57783, 58187, 51164, 51313, 50432, 50885, 54137, 50885, 59791, 50850, 72269, 50885, 54509, 64583, 63516, 51803, 57783, 58187, 51171, 51313, 50432, 50946, 65680, 50885, 59791, 50872, 52151, 50450, 79845, 50456, 50946, 52096, 52591, 50885, 58187, 51332, 51313, 50432, 50885, 65680, 50939, 59791, 50847, 72269, 50939, 51318, 50456, 50885, 51148, 64170, 51803, 50420, 50939, 76906, 51171, 51313, 50432, 50885, 65680, 50909, 59791, 50847, 72269, 50909, 51318, 50456, 50885, 51148, 64170, 78377, 50909, 76906, 53160, 51313, 50432, 50847, 56656, 51007, 59791, 50847, 57991, 51007, 51318, 50456, 50847, 50905, 64170, 78377, 51007, 76906, 53160, 51662, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 33928, 8, 15352, 30054, 1619, 2214, 14, 28337, 4785, 9, 15855, 8, 3495, 930, 6, 4246, 3459, 8669, 6, 13305, 6, 18558, 6, 2236, 1021, 2678, 29, 6, 8, 5730, 2342, 4467, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 230, 6, 274, 6, 8, 211, 119, 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 ]

[ 56236, 50796, 50799, 52756, 50976, 55161, 50802, 52123, 51100, 51783, 51100, 51722, 73555, 52756, 56733, 55161, 50823, 52123, 50937, 51783, 50917, 51722, 50938, 50430, 52756, 50803, 55161, 50803, 51783, 50812, 52123, 50833, 51722, 60462, 52756, 51010, 50434, 55161, 50950, 52123, 50833, 51783, 50897, 51722, 52841, 52817, 51059, 56195, 51059, 52123, 51134, 51722, 51241, 51555, 51294, 50799, 52817, 50802, 75460, 50802, 52623, 50873, 51555, 50805, 51722, 60010, 52817, 50823, 75460, 50803, 52623, 50878, 51555, 50917, 51722, 50938, 50430, 52817, 50803, 75460, 50803, 52623, 50812, 51555, 50812, 51722, 59662, 52817, 51010, 75460, 50803, 52623, 50878, 51555, 50910, 51722, 56057, 53036, 51795, 61643, 51795, 51783, 51486, 51584, 51692, 51612, 51692, 50796, 53951, 52639, 51068, 50820, 53924, 52896, 51261, 51870, 50801, 53083, 52756, 51066, 55161, 51072, 52123, 51178, 51722, 51178, 51783, 51255, 51068, 58810, 50895, 53458, 52512, 52756, 50860, 52123, 50917, 69328, 51722, 58679, 55376, 56195, 54675, 52756, 50802, 56195, 50976, 52123, 50873, 51783, 50901, 51722, 67513, 58810, 54292, 51560, 51527, 52817, 50860, 75460, 50976, 52623, 50901, 51722, 50849, 51555, 55937, 53083, 52817, 50976, 75460, 50976, 52623, 51177, 51555, 51178, 51722, 51121, 51068, 58810, 61612, 51783, 51295, 51567, 51310, 51584, 51115, 50458, 53036, 51072, 61643, 51029, 53202, 76448, 61266, 51408, 51160, 54280, 51238, 53951, 52670, 51068, 58810, 71362, 51229, 64408, 51674, 59392, 53814, 51209, 71588, 51547, 51000, 53924, 53439, 51256, 67171, 51366, 60438, 51261, 52512, 51256, 51142, 51408, 50971, 51322, 50904, 52756, 50976, 55161, 51446, 52123, 51894, 51722, 51894, 50906, 51397, 51081, 69561, 59673, 52756, 50894, 50902, 58379, 52805, 51322, 50995, 51256, 50981, 51408, 65910, 51194, 51068, 58810, 60305, 52756, 58150, 52756, 50894, 51081, 70187, 50837, 53458, 51870, 51209, 50941, 51408, 50941, 51322, 50870, 52817, 50975, 56195, 51196, 50861, 51218, 50951, 78689, 60161, 53200, 51505, 50902, 56858, 52670, 51322, 51412, 51209, 51101, 51408, 51480, 50951, 61181, 58810, 60063, 52086, 50924, 52123, 50830, 51722, 50830, 51612, 50959, 51081, 63782, 53115, 51560, 52512, 51772, 50941, 51209, 50822, 51408, 51022, 75460, 51047, 52914, 51101, 52623, 51145, 51722, 51145, 52184, 50959, 50956, 51397, 51001, 51177, 50951, 74254, 59673, 52817, 67573, 58379, 52805, 51209, 51480, 51772, 51480, 51408, 51309, 54324, 53936, 50319, 51363, 51068, 58810, 62962, 53200, 79191, 53664, 51932, 51081, 57990, 50837, 53202, 51870, 51451, 50851, 51229, 50907, 61643, 51413, 51882, 50873, 51783, 51127, 51584, 51047, 51567, 50959, 70252, 50876, 62244, 77322, 69237, 59891, 53200, 50950, 63714, 55506, 58964, 54324, 52038, 51229, 51233, 51451, 51277, 51256, 51337, 50931, 56472, 50942, 50999, 51100, 51068, 58810, 61361, 54324, 50930, 65281, 53887, 53115, 51261, 51870, 51322, 51022, 51408, 51123, 51256, 51126, 52756, 50976, 55161, 51047, 52123, 51945, 51722, 52069, 50906, 51295, 51081, 69564, 59673, 52756, 53936, 50318, 58379, 52805, 51256, 51534, 51408, 51534, 51322, 51534, 50931, 51194, 51068, 58810, 62962, 52756, 59868, 51081, 70187, 50837, 53458, 52097, 51408, 50912, 51322, 50870, 53200, 51072, 56195, 51336, 50861, 51351, 50902, 76198, 73908, 60161, 50902, 59975, 52670, 51322, 51412, 51209, 51337, 51408, 51534, 79386, 51068, 58810, 60063, 52086, 50910, 52123, 50830, 51722, 50830, 51612, 50959, 51081, 51381, 50804, 53115, 51560, 51870, 51408, 50874, 51772, 50941, 51209, 50867, 52914, 51242, 75460, 51183, 52623, 51183, 51722, 51183, 52184, 50959, 50951, 65271, 64742, 59621, 60372, 52817, 56695, 50906, 55284, 52805, 51772, 51411, 51209, 51363, 51408, 51242, 54324, 50976, 50956, 51534, 51068, 58810, 60203, 53200, 51045, 74735, 63503, 51001, 59809, 50837, 53202, 51745, 51229, 50822, 51256, 50864, 51451, 50904, 53664, 50976, 61643, 51103, 51882, 50805, 51783, 51047, 51584, 51183, 51567, 50959, 50871, 73797, 62377, 67611, 58679, 59891, 53200, 58026, 50871, 71441, 58964, 54324, 52038, 51451, 51337, 51229, 51233, 51256, 51194, 70178, 50931, 51588, 50325, 61181, 58810, 61361, 54324, 73312, 51140, 67128, 53887, 53115, 51261, 51870, 51322, 50867, 73839, 51408, 50822, 52756, 50811, 55161, 51413, 52123, 51945, 51722, 52071, 50906, 51562, 51081, 58435, 55384, 52756, 74176, 52756, 74661, 50902, 79543, 52805, 51322, 51363, 51256, 51400, 51408, 51411, 50931, 51221, 51068, 58810, 62962, 52756, 69317, 51081, 57765, 50837, 53458, 52512, 51408, 50941, 51209, 50886, 51322, 50864, 52817, 50993, 56195, 51196, 50861, 51417, 50902, 65524, 66699, 50841, 53951, 52670, 51408, 51419, 51322, 51411, 51209, 51043, 50951, 67922, 73978, 51162, 51068, 58810, 60063, 52086, 50910, 50902, 53887, 53115, 51560, 51870, 51209, 50886, 51772, 50941, 53527, 50993, 75460, 51127, 52914, 50901, 54099, 51562, 52623, 51397, 51722, 51413, 50956, 62592, 59673, 52817, 62406, 50854, 51001, 54172, 52805, 51772, 51775, 51209, 51412, 51408, 51309, 50951, 51177, 50906, 51775, 51068, 58810, 62962, 54324, 56575, 54324, 51045, 51001, 56062, 50837, 53202, 51870, 51451, 50851, 51256, 50904, 51229, 50827, 53200, 51603, 61643, 51417, 51882, 50937, 52679, 51218, 51783, 51191, 51584, 51191, 50871, 51218, 79377, 50931, 73908, 50841, 53951, 52670, 51451, 51337, 51229, 51242, 51256, 51412, 60040, 50931, 50879, 51068, 58810, 60063, 53664, 74017, 53832, 53115, 51261, 52512, 51322, 50941, 51256, 50941, 51408, 50912, 54942, 50860, 55161, 51103, 54099, 50917, 52123, 50925, 51783, 50937, 51722, 68995, 77387, 60372, 54942, 59116, 54099, 50833, 52123, 50822, 51783, 50844, 51722, 50844, 50902, 51043, 50931, 51178, 51081, 69362, 52805, 51256, 51043, 51408, 51337, 51322, 51423, 53200, 50802, 54099, 50937, 52123, 50977, 51783, 50937, 51722, 59375, 51255, 51068, 58810, 61612, 52756, 79618, 54099, 50833, 51783, 50822, 52123, 50874, 51722, 50874, 50902, 54597, 50837, 53458, 52512, 51322, 50941, 51209, 50864, 51408, 51126, 53036, 50976, 56195, 51189, 54099, 50849, 51722, 50845, 52123, 50901, 51555, 55143, 62980, 70452, 71673, 55937, 59891, 52817, 72693, 54099, 50812, 51722, 50810, 52123, 50810, 51555, 53497, 52670, 51408, 51534, 51322, 51337, 51209, 51337, 70135, 50951, 64469, 70274, 51221, 51068, 58810, 60063, 52817, 50823, 52123, 50812, 51722, 67316, 54806, 53115, 51560, 51745, 51209, 50864, 51408, 50971, 51772, 50971, 53664, 50823, 75460, 51343, 52623, 50937, 51555, 50849, 51722, 73507, 71321, 51397, 50951, 52098, 50326, 65220, 60372, 53664, 59116, 52623, 50810, 51555, 50844, 51722, 56444, 52805, 51772, 50874, 51209, 50959, 51408, 50827, 53664, 51505, 52623, 50955, 51555, 50937, 51722, 51665, 50319, 51060, 50951, 51828, 50326, 61181, 58810, 60203, 51560, 50894, 53664, 50930, 75460, 50942, 52623, 50833, 51555, 50810, 51722, 50844, 50876, 74068, 50837, 53202, 51745, 51229, 51051, 51256, 51051, 51451, 51142, 52756, 50950, 61643, 50830, 51783, 50833, 51584, 50897, 52679, 61581, 51218, 50876, 62244, 67611, 70401, 60941, 53200, 51045, 62546, 50925, 52123, 50833, 51783, 60392, 52756, 51012, 61643, 62642, 51584, 50873, 51783, 54371, 52670, 51451, 51242, 51229, 51328, 51256, 51212, 50931, 56964, 50942, 50999, 51121, 51068, 58810, 60063, 51140, 56606, 53115, 51261, 52512, 51256, 51142, 51408, 50971, 51322, 50904 ]

[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 10, 38668, 483, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 33704, 5675, 22052, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 4, 590, 10, 20889, 9, 5962, 163, 5683, 36, 7083, 4308, 1001, 43, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 381, 3694, 8, 29769, 198, 5, 163, 119, 8, 3676, 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 ]

[ 54458, 51528, 78782, 51016, 51302, 78782, 51016, 51450, 78782, 51016, 51382, 51175, 50852, 51175, 68742, 50910, 60706, 51043, 67121, 55180, 52018, 56382, 52657, 50910, 60706, 56959, 56034, 54334, 52018, 56983, 51817, 50910, 60706, 51043, 67121, 54815, 52018, 55761, 52657, 57415, 60706, 56959, 56034, 59994, 52657, 54166, 52018, 56249, 52018, 50840, 68742, 50910, 60706, 51043, 67121, 55180, 52018, 56382, 52657, 50910, 60706, 56959, 56034, 54334, 52018, 56983, 51817, 50910, 60706, 51043, 67121, 54815, 52018, 55761, 52657, 57415, 60706, 56959, 56034, 59994, 52657, 54166, 52018, 52411, 70143, 52018, 50840, 77532, 51452, 51593, 51452, 51770, 51452, 77382, 53930, 51043, 67121, 69628, 54718, 51817, 56382, 52657, 50910, 53930, 56959, 56034, 54334, 52018, 56983, 77382, 53930, 51043, 67121, 54815, 51817, 55761, 52657, 57415, 53930, 56959, 56034, 59994, 52657, 54166, 52018, 56249, 52018, 50840, 53534, 50910, 53930, 51043, 67121, 55180, 51817, 56382, 52657, 50910, 53930, 56959, 56034, 54334, 64895, 51593, 50813, 51770, 50813, 52018, 65470, 64895, 51593, 50813, 51770, 52781, 51323, 51043, 51593, 51043, 51770, 51043, 77382, 53930, 51043, 67121, 54815, 51817, 55761, 52657, 57415, 51323, 51043, 51593, 51043, 51770, 51043, 53930, 56959, 56034, 59994, 52657, 54166, 52018, 52411, 56860, 52018, 50840, 50799, 74465, 69965, 52400, 50813, 51415, 50910, 59521, 51043, 67121, 69628, 57705, 74465, 69965, 52400, 53299, 51746, 51025, 51478, 51025, 52400, 51025, 56296, 56382, 55131, 50910, 59521, 56959, 56034, 54334, 56296, 56983, 51415, 50910, 59521, 51043, 67121, 54815, 74465, 69965, 52400, 50813, 56296, 55761, 74465, 69965, 52400, 50813, 55131, 57415, 51746, 51043, 51478, 51043, 52400, 51043, 59521, 56959, 56034, 59994, 55131, 54166, 56296, 56249, 56296, 50840, 50799, 51746, 50878, 73912, 52400, 50878, 51415, 50910, 59521, 51043, 67121, 55180, 56296, 56382, 55131, 50910, 59521, 56959, 56034, 54334, 51746, 51025, 51478, 51025, 52400, 51025, 56296, 56983, 51415, 50910, 59521, 51043, 67121, 54815, 51746, 51025, 51478, 51025, 52400, 51025, 56296, 61190, 55131, 57006, 59521, 56959, 56034, 59994, 55131, 54166, 51404, 51025, 51245, 51025, 51746, 51025, 56296, 52411, 56860, 56296, 50840, 68742, 50910, 60706, 51043, 67121, 69628, 54031, 51404, 53090, 52018, 56382, 52657, 50910, 60706, 56959, 56034, 54334, 52018, 56983, 51817, 50910, 60706, 51043, 67121, 54815, 52018, 55761, 52657, 57415, 60706, 56959, 56034, 59994, 52657, 54166, 52018, 56249, 52018, 50840, 68742, 50878, 60706, 51043, 52615, 51104, 54718, 52018, 55440, 52657, 50878, 60706, 56959, 56189, 54154, 52018, 55467, 51817, 50878, 60706, 51043, 52615, 51104, 53885, 52018, 53352, 56325, 52657, 54356, 58091, 51043, 60706, 56959, 58639, 52657, 53211, 52018, 53352, 56860, 52018, 50813, 50799, 58091, 51043, 51245, 51043, 51746, 51043, 51770, 51043, 51019, 50878, 67121, 69628, 54718, 51817, 55440, 58091, 51043, 51245, 51043, 51746, 51043, 51770, 51043, 51019, 54566, 56034, 54334, 51817, 55467, 58091, 51043, 51245, 50915, 51746, 50915, 51770, 50915, 51019, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 58091, 50878, 51770, 50878, 51817, 50878, 50799, 58091, 50878, 51245, 77737, 50878, 51770, 50878, 51019, 50878, 67121, 55180, 58091, 51025, 51245, 51025, 51746, 51025, 51770, 51025, 51817, 55440, 51019, 54566, 56034, 54334, 56930, 51025, 51746, 51025, 51770, 51025, 51940, 51025, 51817, 55467, 51019, 50878, 67121, 54815, 56930, 51134, 51746, 51134, 51770, 51134, 51940, 51134, 51817, 56060, 51019, 54566, 56034, 54663, 51817, 50878, 50799, 58091, 50813, 64895, 51593, 50813, 51770, 50813, 51069, 50878, 67121, 58767, 58091, 50813, 51770, 53299, 58091, 51025, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 55440, 51069, 54566, 56034, 54334, 58091, 51025, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 55467, 51069, 50878, 67121, 54815, 58091, 50878, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 56060, 51069, 54566, 56034, 54663, 56591, 50878, 73912, 51011, 50878, 50799, 58091, 51043, 51323, 51043, 51593, 51043, 51770, 51043, 51069, 50878, 67121, 55180, 51011, 55440, 58091, 51043, 51323, 51043, 51593, 51043, 51770, 51043, 51069, 54566, 56034, 54334, 51011, 55467, 56930, 51043, 51323, 51134, 51593, 51134, 51770, 51134, 51069, 50878, 67121, 54815, 51011, 56060, 51069, 54566, 56034, 54663, 51011, 50878, 50799, 66295, 50813, 74465, 69965, 52400, 50813, 51205, 50878, 67121, 58767, 66295, 50813, 52400, 53299, 66295, 51025, 51746, 51025, 51478, 51025, 52400, 51025, 51415, 55440, 51205, 54566, 56034, 54334, 58091, 50813, 51770, 50813, 51415, 60157, 66295, 51101, 51746, 51101, 51478, 51101, 52400, 68535, 51205, 50878, 67121, 54815, 59522, 77737, 51025, 51415, 56060, 51205, 54566, 56034, 54663, 59522, 77737, 50878, 51415, 50878, 50799, 66295, 50845, 51746, 50878, 73912, 52400, 68347, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51415, 55440, 58091, 50878, 51770, 68347, 54566, 56034, 54334, 58091, 51025, 51823, 51025, 51746, 51025, 51770, 51025, 51415, 55467, 51205, 50878, 67121, 54815, 56591, 51025, 51823, 51025, 51746, 51025, 51478, 51025, 51415, 56060, 51205, 54566, 56034, 54663, 56591, 51025, 51404, 51025, 51245, 51025, 51746, 51025, 51478, 51025, 53400, 50878, 67121, 55180, 62059, 51134, 51404, 51422, 51817, 55440, 51019, 54566, 56034, 54334, 51817, 55467, 51019, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 51817, 50878, 53400, 50878, 67121, 55180, 51817, 61484, 53516, 51019, 54566, 56034, 54334, 51817, 61484, 54292, 51019, 50878, 67121, 54815, 58091, 76071, 51746, 50878, 51770, 50878, 51817, 61484, 53595, 58091, 76071, 51746, 50878, 51770, 50878, 51019, 54566, 56034, 54663, 56591, 50878, 73912, 51817, 50878, 65690, 50895, 50799, 58091, 51043, 51245, 51043, 51746, 51043, 51770, 51043, 51019, 50878, 67121, 69628, 54031, 51817, 55440, 58091, 50878, 51245, 77737, 50878, 51770, 50878, 51019, 54566, 56034, 54334, 56591, 50813, 69965, 51817, 60157, 58091, 51109, 51245, 51115, 51746, 51115, 51770, 51115, 56903, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 51817, 50878, 50799, 58091, 50878, 51245, 77737, 50878, 51770, 50878, 51019, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51817, 55440, 58091, 50813, 51770, 76508, 54566, 56034, 58967, 58091, 50813, 51770, 52810, 56930, 51134, 51746, 51115, 51770, 51115, 51940, 51115, 51817, 55467, 51019, 50878, 67121, 54815, 51817, 56060, 51019, 54566, 56034, 54663, 56591, 50878, 73912, 51817, 50878, 50799, 58091, 76071, 51593, 50878, 51770, 71253, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51011, 55440, 56591, 50878, 51478, 71253, 54566, 56034, 54334, 58091, 51025, 51323, 51025, 51593, 51025, 51770, 51025, 51011, 55467, 51069, 50878, 67121, 54815, 58091, 50878, 51770, 50878, 51011, 56060, 58091, 51043, 51323, 51043, 51593, 51043, 51770, 51043, 51069, 54566, 56034, 54663, 51011, 50878, 50799, 58091, 76071, 51593, 50878, 51770, 71253, 50878, 67121, 55180, 58091, 50878, 51770, 50878, 51011, 55440, 58091, 50878, 51770, 71253, 54566, 56034, 54334, 56930, 51134, 51323, 51115, 51593, 51115, 51770, 51115, 51940, 51115, 51011, 55467, 51069, 50878, 67121, 54815, 51011, 56060, 51069, 54566, 56034, 54663, 58091, 50878, 51770, 50878, 51011, 50878 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 19834, 4246, 13305, 8, 24896, 6, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 11926, 10686, 13, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55694, 54644, 51197, 68694, 51043, 56759, 64742, 57348, 59910, 50931, 52658, 51234, 61352, 53264, 50997, 64742, 57348, 74191, 53999, 65111, 51120, 59956, 51081, 52843, 50997, 59537, 68468, 61352, 77948, 51234, 50845, 69024, 59537, 68468, 62244, 54644, 51197, 68694, 53172, 50900, 68468, 57586, 53387, 50997, 57348, 61026, 50845, 78461, 79004, 59537, 68468, 61026, 54644, 51197, 79004, 64742, 57348, 61026, 68694, 50845, 50424, 51234, 51101, 50425, 51050, 53172, 50899, 61026, 59374, 62244, 74191, 72416, 51197, 51101, 50431, 50997, 53387, 50861, 68694, 61352, 51455, 50331, 50845, 52323, 50631, 54346, 51109, 50906, 66038, 54315, 51134, 51197, 51109, 51001, 51134, 62335, 51109, 70585, 63775, 50444, 53557, 65140, 50866, 51057, 54045, 51455, 50290, 61352, 54644, 57196, 79004, 64742, 57348, 74191, 53172, 54045, 50810, 65111, 51120, 59910, 57196, 50810, 51081, 52658, 54045, 51109, 50997, 59537, 68468, 61352, 51109, 78461, 54644, 53557, 79004, 59537, 68468, 62244, 53172, 54315, 51455, 50295, 68694, 53387, 53494, 63327, 68468, 57586, 50845, 51057, 54346, 79004, 57348, 61026, 54644, 53494, 63663, 63142, 57586, 53172, 54315, 51134, 51197, 79004, 57348, 51134, 51001, 51134, 50432, 51234, 50845, 76986, 54644, 54346, 51455, 50290, 61026, 53172, 54315, 51043, 51197, 68694, 64669, 50997, 64742, 57348, 58952, 53557, 50810, 61196, 51057, 54045, 51455, 50290, 61352, 54644, 57196, 79004, 64742, 57348, 74191, 53172, 54045, 50810, 65111, 51085, 59910, 57196, 50810, 51081, 52658, 54045, 51109, 56437, 50900, 51109, 70585, 50951, 51109, 50435, 60834, 78246, 54644, 54315, 63327, 68694, 53172, 53452, 51455, 50285, 59374, 53387, 53494, 64742, 57586, 59198, 68721, 51109, 51057, 53452, 59537, 59374, 54644, 54315, 63327, 59198, 57069, 68694, 50845, 50424, 51234, 51101, 50425, 51050, 53172, 53557, 51134, 50899, 62244, 51134, 64551, 68468, 57586, 50845, 64690, 68468, 61026, 54644, 57196, 74191, 53172, 57196, 51043, 51378, 74191, 64669, 51040, 63142, 61026, 58952, 57684, 50810, 51147, 50810, 51057, 56553, 79004, 68800, 54644, 57196, 71007, 63142, 61026, 74191, 53172, 57684, 50810, 51147, 50810, 51050, 59910, 57196, 50810, 51081, 52658, 57684, 68323, 68468, 61026, 79110, 51109, 78461, 54644, 53557, 79004, 59537, 68468, 62244, 53172, 56553, 51455, 50295, 68800, 53387, 53557, 79004, 64742, 63142, 62244, 50845, 51057, 54315, 51455, 50298, 68694, 54644, 56553, 79004, 64742, 63142, 68800, 53172, 53557, 51134, 51234, 62244, 51134, 58783, 61026, 59374, 50845, 74518, 59198, 57586, 54644, 53557, 61895, 59198, 61026, 62244, 58861, 53557, 52654, 53557, 51455, 50292, 62244, 57069, 51134, 51001, 51134, 50432, 55205, 63327, 64742, 57069, 64510, 50845, 51057, 54045, 51455, 50295, 61352, 54644, 53557, 63327, 64742, 57069, 62244, 53172, 57196, 50810, 74735, 51120, 59910, 53557, 50810, 50931, 52658, 53557, 68323, 59198, 61026, 62244, 51109, 76986, 54644, 54315, 64442, 57348, 57586, 68694, 58861, 54315, 52654, 53452, 73787, 61026, 59374, 53387, 54315, 59537, 59198, 61026, 68694, 50845, 51057, 53494, 51043, 51247, 57586, 51043, 60284, 63327, 64742, 59198, 57069, 58861, 54346, 50810, 50906, 52654, 54346, 51134, 51234, 61026, 51134, 56014, 59537, 68468, 50845, 69024, 59537, 57348, 54644, 54346, 51455, 50300, 59537, 59198, 61026, 53172, 54315, 51043, 51197, 57348, 51043, 51001, 64669, 50997, 64742, 57348, 58952, 53557, 50810, 61196, 51057, 54045, 51455, 50290, 61352, 54644, 57196, 79004, 64742, 57348, 74191, 53172, 54045, 50810, 65111, 51120, 59910, 57196, 50810, 51081, 52658, 54045, 51109, 50997, 59537, 68468, 61352, 51109, 78461, 54644, 53557, 79004, 59537, 68468, 62244, 53172, 54315, 51455, 50295, 68694, 53387, 53494, 63327, 68468, 57586, 50845, 51057, 54346, 79004, 57348, 61026, 54644, 53494, 63663, 63142, 57586, 53172, 54315, 51134, 51197, 79004, 57348, 51134, 51001, 51134, 50432, 51234, 50845, 76986, 54644, 54346, 71115, 79004, 61026, 53172, 53494, 51043, 51176, 51043, 50900, 51043, 77549, 50435, 53452, 76869, 61895, 50810, 59856, 51057, 54315, 63327, 64742, 68694, 54644, 53557, 59537, 59198, 62244, 53172, 54045, 64742, 57348, 61352, 53387, 57684, 59198, 68468, 79110, 50845, 79296, 57196, 57348, 61026, 74191, 54644, 50631, 57037, 63663, 64742, 63142, 57586, 68694, 68800, 67996, 53172, 57196, 79004, 64742, 57348, 74191, 61026, 51109, 51001, 69558, 54045, 51455, 50290, 79004, 61352, 50845, 51057, 53557, 51043, 50899, 59198, 61026, 62244, 51043, 71931, 50902, 51109, 50420, 53492, 51455, 50290, 58861, 54315, 50810, 51001, 52654, 54315, 51134, 51197, 79004, 64742, 57348, 68694, 53387, 52046, 51455, 50295, 64742, 50845, 79296, 50956, 57348, 61026, 68694, 61352, 74191, 51455, 50331, 54644, 50631, 51026, 79004, 61026, 53172, 51176, 63327, 57586, 53387, 50997, 59537, 59374, 50845, 63188, 64742, 68694, 50845, 54569, 59198, 62244, 53172, 50956, 57348, 61352, 53387, 50861, 61026, 74191, 50845, 79296, 51027, 64742, 63142, 68694, 68800, 67996, 51455, 50331, 54644, 50631, 51027, 64742, 63142, 57586, 68694, 68800, 67996, 53172, 51081, 75161, 67997, 58263, 58801, 51159, 51001, 51159, 76133, 66440, 51234, 79892, 50849, 69024, 57743, 58801, 62377, 51110, 50965, 51159, 50902, 75354, 53492, 51519, 50290, 59573, 51001, 52710, 51197, 79892, 67997, 58263, 58801, 68035, 53308, 52046, 51519, 50295, 67997, 50849, 52323, 50622, 50956, 75842, 51159, 50906, 51159, 51001, 51159, 50951, 51159, 51081, 51159, 51405, 72100, 50631, 51722, 51109, 50906, 61148, 52184, 51134, 51197, 51109, 51001, 51134, 69024, 64742, 57348, 63118, 52037, 50810, 50931, 53066, 52290, 51455, 50290, 61352, 53172, 53755, 79004, 64742, 57348, 74191, 53387, 52290, 50810, 65111, 51120, 58952, 53755, 50810, 74735, 51057, 52290, 51109, 50997, 59537, 68468, 61352, 51109, 50420, 51234, 53172, 52037, 79004, 59537, 68468, 62244, 53387, 52184, 51455, 50295, 68694, 50845, 51057, 51567, 63327, 68468, 57586, 54644, 51722, 79004, 57348, 61026, 53172, 51567, 63663, 63142, 57586, 53387, 52184, 51134, 51197, 79004, 57348, 51134, 51001, 51134, 78461, 54644, 51197, 53172, 51722, 51455, 50290, 61026, 53387, 52184, 51043, 51197, 68694, 51043, 69024, 64742, 57348, 63118, 52037, 50810, 50931, 53066, 52290, 51455, 50290, 61352, 53172, 53755, 79004, 64742, 57348, 74191, 53387, 52290, 50810, 65111, 51085, 58952, 53755, 50810, 74735, 51057, 52290, 51109, 56437, 50900, 51109, 70585, 50951, 51109, 50417, 50906, 53066, 50861, 53172, 52184, 63327, 68694, 53387, 51612, 51455, 50285, 59374, 50845, 51057, 51567, 64742, 57586, 59198, 68721, 51109, 50420, 51612, 59537, 59374, 53172, 52184, 63327, 59198, 57069, 68694, 72416, 51234, 51101, 50431, 51050, 53387, 52037, 51134, 50899, 62244, 51134, 74518, 68468, 57586, 50845, 54569, 68468, 61026, 53172, 53755, 74191, 53387, 53755, 51043, 51378, 74191, 51043, 51057, 51040, 63142, 61026, 63118, 53811, 50810, 51147, 53066, 52974, 79004, 68800, 53172, 53755, 71007, 63142, 61026, 74191, 53387, 53811, 50810, 51147, 50810, 51050, 58952, 53755, 50810, 74735, 51057, 53811, 68323, 68468, 61026, 79110, 51109, 50420, 51234, 53172, 52037, 79004, 59537, 68468, 62244, 53387, 52974, 51455, 50295, 68800, 50845, 51057, 52037, 79004, 64742, 63142, 62244, 54644, 52184, 51455, 50298, 68694, 53172, 52974, 79004, 64742, 63142, 68800, 53387, 52037, 51134 ]

[ 0, 250, 33928, 8, 33558, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 32909, 483, 7513, 30, 10, 6755, 12547, 6, 2236, 1021, 2678, 29, 6, 21979, 9590, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 6, 2351, 41, 17627, 17274, 2365, 8, 1619, 12, 3341, 5466, 149, 63, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 55986, 52641, 50843, 52742, 50843, 52743, 72415, 55746, 53169, 50889, 52456, 50807, 51882, 76713, 52517, 51003, 52088, 51159, 52086, 58833, 52456, 51194, 51813, 51110, 52642, 51290, 53788, 51013, 52577, 50812, 52627, 50808, 53826, 50910, 51915, 50880, 53169, 50910, 52456, 50830, 51813, 50940, 51897, 54973, 53336, 52577, 50971, 52627, 50867, 53826, 50827, 53169, 50959, 52456, 50955, 51813, 50858, 75275, 55893, 51915, 59190, 52928, 51984, 50810, 52577, 50867, 52627, 50857, 53826, 50862, 51726, 50809, 53169, 50955, 52456, 50822, 51813, 55508, 51179, 54973, 52975, 52078, 50808, 52577, 50800, 52627, 50800, 53826, 50952, 70310, 53169, 51518, 52456, 51486, 51813, 51941, 54680, 53237, 53294, 51098, 50889, 52577, 51000, 52627, 50874, 53826, 50851, 51915, 53243, 51392, 54973, 52210, 52577, 50886, 52627, 50857, 53826, 50844, 51915, 50840, 75275, 53409, 52078, 51128, 52577, 50840, 52627, 50800, 53826, 50808, 51726, 54898, 51139, 54973, 53650, 51150, 50862, 52577, 50941, 52627, 50867, 53826, 50874, 76910, 67178, 50895, 53788, 50807, 52577, 50808, 52627, 50808, 53826, 50800, 51915, 52773, 51130, 54973, 53336, 52577, 51000, 52627, 50904, 53826, 50874, 75275, 55133, 51915, 55892, 53150, 51984, 50810, 52577, 50813, 52627, 50813, 53826, 50813, 51726, 50809, 53169, 50914, 52456, 51112, 51882, 51290, 53659, 54973, 52975, 52078, 50812, 52577, 50808, 52627, 50808, 53826, 50808, 51368, 52634, 51130, 53237, 53294, 74808, 52577, 50941, 52627, 50874, 53826, 50844, 51915, 50840, 52517, 51267, 52088, 51112, 52086, 51290, 52453, 54973, 53239, 52577, 50857, 52627, 50867, 53826, 50810, 51915, 50809, 67178, 53035, 52078, 50854, 52577, 50812, 52627, 50800, 53826, 50812, 51726, 50887, 52456, 51056, 51813, 51162, 52642, 51016, 55605, 54973, 53685, 52577, 50867, 52627, 50820, 53826, 50813, 76910, 72112, 50841, 56950, 50807, 52569, 50840, 52930, 50808, 54337, 50812, 51482, 50887, 52517, 51141, 52088, 50983, 51855, 51362, 51897, 54973, 53829, 52569, 50837, 52930, 50886, 54337, 50867, 75275, 54069, 51482, 56500, 52992, 51793, 50808, 52569, 50813, 52930, 50813, 54337, 50857, 51425, 55960, 51179, 54973, 52844, 53240, 50897, 52569, 50809, 52930, 50800, 54337, 50808, 51265, 50887, 52517, 51790, 52088, 51591, 51855, 51977, 54680, 53237, 53294, 51216, 51048, 52569, 50886, 52930, 50857, 54337, 50886, 51482, 53345, 51392, 54973, 53041, 52569, 50857, 52930, 50857, 54337, 50857, 51482, 51421, 53584, 53035, 53240, 50867, 52569, 50809, 52930, 50808, 54337, 50836, 51425, 55960, 51139, 54973, 53563, 51389, 50941, 52569, 50837, 52930, 50857, 54337, 50886, 51265, 50809, 67178, 50841, 56950, 51013, 52569, 50809, 52930, 50812, 54337, 50812, 51482, 52773, 51130, 54973, 56051, 52569, 50941, 52930, 50886, 54337, 50941, 75275, 54069, 51482, 56500, 52639, 51793, 50800, 52569, 50825, 52930, 50867, 54337, 50867, 51425, 50890, 52088, 51227, 51855, 51227, 51882, 51235, 53659, 54973, 52209, 53240, 50862, 52569, 50809, 52930, 50800, 54337, 50812, 51265, 54898, 51130, 53237, 53294, 51216, 51048, 52569, 50886, 52930, 50886, 54337, 50867, 51482, 50840, 52088, 51346, 51855, 51227, 52086, 51227, 52453, 54973, 53041, 52569, 50867, 52930, 50862, 54337, 50813, 51482, 50840, 67178, 53083, 53240, 50844, 52569, 50836, 52930, 50808, 54337, 50812, 78709, 52088, 50807, 51855, 51016, 52642, 51175, 55605, 54973, 54450, 51389, 50820, 52569, 50857, 52930, 50867, 54337, 50822, 51265, 50887, 72112, 50839, 53202, 51013, 52569, 50809, 52930, 50808, 53826, 50808, 53760, 50880, 52088, 50893, 51855, 50795, 52086, 51175, 51897, 54973, 56051, 52569, 50904, 52930, 50864, 53826, 50874, 75275, 57466, 52088, 50854, 51855, 50854, 51882, 73427, 53760, 57259, 52712, 51216, 50836, 52569, 50904, 52930, 50867, 53826, 50867, 52331, 50840, 52088, 50942, 51855, 50897, 52525, 51173, 56239, 54973, 52975, 51150, 50813, 52569, 50840, 52930, 50812, 53826, 50833, 51915, 50887, 52088, 51472, 51855, 51472, 51882, 51661, 54680, 53237, 53294, 51140, 51016, 52569, 50867, 52930, 50886, 53826, 50886, 53760, 53672, 51392, 54973, 52878, 52569, 50825, 52930, 50867, 53826, 50874, 53760, 50890, 75275, 53533, 51150, 50810, 52569, 50855, 52930, 50855, 53826, 50854, 52331, 52634, 51139, 54973, 62786, 52088, 50854, 51855, 50854, 52086, 57830, 51216, 50825, 52569, 50825, 52930, 50867, 53826, 50874, 51915, 50887, 67178, 58323, 52456, 50925, 51813, 50854, 51882, 50858, 53458, 50980, 52627, 50840, 54767, 50812, 54337, 50812, 54117, 50880, 52517, 51364, 52525, 51661, 52453, 54973, 56051, 52627, 50864, 54767, 50886, 54337, 50867, 75275, 54069, 54117, 59190, 52639, 51668, 50874, 52627, 50813, 54767, 50857, 54337, 50813, 53180, 52634, 51041, 54973, 53230, 51389, 50812, 52627, 50808, 54767, 50812, 54337, 50800, 51482, 52634, 51130, 53237, 55622, 69606, 52627, 50886, 54767, 50867, 54337, 50886, 54117, 50840, 55683, 50967, 52517, 50967, 52525, 50893, 52453, 54973, 53239, 52627, 50857, 54767, 50857, 54337, 50857, 54117, 50887, 67178, 58275, 53169, 51095, 52456, 50967, 51882, 65399, 51668, 50925, 52627, 50800, 54767, 50836, 54337, 50808, 53180, 52634, 51130, 54973, 79857, 52088, 51100, 50454, 52517, 51100, 52086, 57830, 51389, 50941, 52627, 50813, 54767, 50886, 54337, 50813, 54117, 50887, 72112, 50839, 53788, 51013, 52577, 50840, 52627, 50800, 53826, 50808, 51915, 50887, 52517, 51194, 52088, 51158, 52086, 51175, 51897, 54973, 56051, 52577, 50864, 52627, 50813, 53826, 50822, 75275, 56493, 53169, 51605, 52456, 51605, 51882, 51941, 50423, 51915, 53406, 52992, 51984, 50813, 52577, 50867, 52627, 50813, 53826, 50813, 51726, 52634, 51179, 54973, 52209, 52078, 50897, 52577, 50812, 52627, 50808, 53826, 50808, 51368, 54898, 51139, 53237, 53294, 51098, 50889, 52577, 50904, 52627, 50844, 53826, 50822, 51915, 53243, 51392, 54973, 53239, 52577, 50886, 52627, 50857, 53826, 50857, 51915, 51421, 53584, 53533, 52078, 50854, 52577, 50855, 52627, 50812, 53826, 50812, 51726, 54898, 51139, 54973, 54210, 51150, 50971, 52577, 50827, 52627, 50822, 53826, 50810, 70310, 67178, 50846, 53458, 51016, 52092, 50812, 52627, 50808, 54767, 50808, 54117, 50890, 55683, 51472, 52517, 51291, 52525, 51343, 52453, 54973, 56051, 52092, 50971, 52627, 50886, 54767, 50904, 75275, 54579, 54117, 59190, 52870, 51668, 50813, 52092, 50864, 52627, 50813, 54767, 50822, 53180, 54690, 51041, 54973, 52209, 51389, 50810, 52092, 50808, 52627, 50800, 54767, 50808, 51482, 52634, 51130, 53237, 53294, 51098, 51294, 52092, 50971, 52627, 50886, 54767, 50874, 54117, 50809, 55683, 51175, 52517, 51215, 52525, 50893, 52453, 54973, 53239, 52092, 50864, 52627, 50867, 54767, 50813, 54117, 50887, 67178, 57000, 53169, 51124, 52456, 50991, 51882, 65399, 51389, 50867, 52092, 50808, 52627, 50808, 54767, 50808, 52331, 52634, 51130, 54973, 67641, 52517, 51121, 52088, 50795, 52086, 57830, 51668, 50971, 52092, 50941, 52627, 50813, 54767, 50844, 53180, 50840, 72112, 50841, 53788, 51013, 52577, 50812, 52627, 50800, 53826, 50800, 51915, 50890, 52517, 51178, 52088, 51215, 52086, 50893, 51897, 54973, 56051, 52577, 51128, 52627, 50886, 53826, 50912, 75275, 57466, 53169, 51605, 52456, 51605, 51882, 51941, 50423, 51915, 56500, 52992, 51984, 50844, 52577, 50857, 52627, 50862, 53826, 50862, 51726, 52634, 51179, 54973, 53644, 52078, 50805, 52577, 50855 ]

[ 0, 713, 5175, 2214, 16, 10, 15352, 30054, 8, 20425, 3251, 149, 980, 6, 19, 10, 3366, 219, 8, 11299, 16464, 4, 20, 38668, 483, 1239, 5, 8036, 6, 7513, 30, 10, 6755, 12547, 6, 38668, 20535, 6, 38668, 11212, 6, 8, 38668, 9590, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 1769, 20889, 9, 20598, 13410, 228, 2289, 6, 5, 2125, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 230, 16331, 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 ]

[ 56236, 50456, 53492, 77044, 50816, 53852, 58323, 51553, 50379, 52526, 59190, 50855, 56236, 51146, 52666, 50278, 51941, 50902, 51307, 50931, 51307, 51081, 51307, 50415, 52060, 51012, 51289, 50911, 51224, 51138, 51206, 51021, 50416, 50798, 67040, 51710, 50333, 51297, 50418, 52052, 58387, 51146, 54731, 50342, 67643, 51339, 62574, 50345, 77679, 50871, 54731, 50338, 51851, 60564, 52666, 50342, 51297, 50428, 50902, 54191, 50345, 51851, 74413, 62574, 50321, 57378, 50906, 54731, 50326, 66380, 50902, 55583, 50330, 51128, 50436, 50931, 55583, 50333, 60438, 51081, 54731, 50338, 51000, 50440, 51146, 55583, 50342, 51128, 50442, 51339, 55583, 50345, 51128, 57428, 54731, 50338, 51297, 50746, 50333, 52045, 76495, 54191, 50342, 51851, 50448, 50902, 54731, 50345, 51851, 56415, 55583, 50321, 51319, 50452, 50906, 55583, 50326, 51128, 50454, 50902, 62574, 50330, 60550, 50931, 55583, 50333, 73706, 51081, 55583, 50338, 51128, 50460, 51146, 62574, 50342, 51297, 68818, 54731, 50337, 52666, 50316, 51103, 50902, 51103, 50931, 51103, 50999, 51103, 50416, 52052, 55583, 50340, 51128, 50418, 52912, 62574, 50342, 58387, 51814, 54731, 50345, 67643, 52357, 55583, 50349, 77679, 50871, 55583, 50342, 51851, 56207, 54011, 50345, 51297, 50428, 50876, 62574, 50349, 51851, 50429, 50931, 63432, 50871, 55583, 50318, 52134, 63174, 55583, 50321, 54011, 50321, 59992, 50876, 62574, 50325, 51128, 50436, 50902, 55583, 50328, 60438, 50931, 54731, 50340, 79986, 51103, 50931, 51103, 50999, 51103, 50440, 50999, 55583, 50345, 51297, 50441, 50931, 59721, 51062, 55583, 50349, 51128, 57428, 54731, 50340, 51297, 78933, 54191, 50345, 52134, 50448, 50876, 54191, 50349, 51851, 50449, 50931, 60258, 50931, 63336, 55583, 50321, 51297, 50452, 50877, 55583, 50321, 52666, 50325, 51128, 50454, 50876, 55583, 50328, 60272, 50931, 54731, 50333, 73706, 50999, 55583, 50337, 68248, 50931, 59175, 51062, 55583, 50340, 78693, 50931, 50891, 54594, 59884, 50333, 54731, 50319, 51307, 50951, 51307, 51081, 51307, 50416, 50906, 54731, 50337, 51851, 50418, 51001, 62574, 50340, 51851, 55902, 59884, 50323, 51297, 50421, 50931, 70852, 50931, 78226, 62574, 50326, 77679, 51001, 55583, 50321, 54191, 50331, 57051, 50951, 54731, 50335, 51319, 50428, 51081, 55583, 50338, 51128, 50430, 51405, 55583, 50343, 51297, 50431, 50931, 53575, 51487, 54731, 50347, 71372, 50931, 63633, 50861, 54191, 50338, 51851, 50436, 50906, 54191, 50343, 52134, 50438, 51001, 52666, 50347, 51297, 50440, 50861, 55583, 50323, 51128, 50442, 50931, 50928, 50906, 55583, 50326, 62232, 51001, 54731, 50331, 70003, 50951, 55583, 50335, 63491, 63302, 50448, 51081, 55583, 50338, 60801, 50951, 51609, 50331, 54731, 50343, 79626, 50931, 78014, 51487, 55583, 50347, 51128, 75312, 54191, 50338, 71736, 50906, 52666, 50343, 51297, 50458, 51001, 54191, 50347, 51851, 50460, 50861, 55583, 50323, 54191, 50323, 50886, 55694, 54731, 50335, 52666, 50314, 51103, 50902, 51103, 50951, 51103, 50416, 51001, 55583, 50338, 51297, 50418, 50951, 55583, 50342, 77678, 50951, 55740, 51487, 54731, 50347, 51000, 64309, 54731, 50323, 52386, 50338, 52134, 50424, 50906, 54191, 50342, 51851, 60718, 52666, 50347, 51297, 50428, 50861, 62574, 50323, 51128, 50430, 50906, 55583, 50326, 58255, 50902, 54731, 50323, 52666, 50330, 66380, 50951, 55583, 50335, 51128, 50436, 51081, 62574, 50338, 60438, 50906, 52666, 50330, 54731, 50314, 51103, 77113, 51001, 51103, 50951, 51103, 50439, 50951, 51022, 50440, 50876, 54191, 50335, 51851, 50442, 51001, 54191, 50323, 54191, 50338, 51851, 50444, 50906, 54731, 50323, 70003, 50876, 55583, 50326, 51128, 50448, 51001, 55583, 50328, 60801, 50951, 54731, 50331, 51000, 50452, 50951, 54191, 50326, 55583, 50335, 51128, 50454, 51062, 55583, 50338, 60272, 51405, 54731, 50340, 51000, 50457, 52723, 53120, 53104, 50579, 64550, 50380, 59064, 66767, 51487, 55583, 50343, 51297, 50460, 52052, 55583, 50347, 51297, 50461, 63036, 52903, 58402, 50931, 52666, 50278, 52369, 50899, 51293, 50871, 51293, 50906, 51293, 50902, 51264, 50931, 51264, 51081, 78996, 51224, 51527, 51553, 51009, 51206, 51870, 52356, 77609, 51009, 50416, 51081, 51128, 50418, 51146, 58387, 50931, 54731, 50333, 67643, 51081, 55583, 50338, 51297, 50424, 51146, 55583, 50342, 57051, 51339, 54731, 50345, 72925, 50871, 54191, 50338, 52134, 50430, 50906, 54191, 50342, 51851, 63975, 52666, 50345, 51297, 50434, 50871, 55583, 50321, 51128, 50436, 50906, 55583, 50326, 60438, 50902, 54731, 50330, 51000, 50440, 50931, 55583, 50333, 51128, 50442, 51081, 55583, 50338, 62232, 51146, 54731, 50342, 70003, 51339, 55583, 50345, 51128, 50448, 50871, 54191, 50338, 51851, 65851, 52666, 50342, 54731, 50314, 50981, 50452, 50902, 54191, 50345, 51851, 50454, 50871, 55583, 50321, 60272, 50906, 54731, 50326, 73706, 50902, 55583, 50330, 51128, 50460, 50931, 55583, 50333, 51297, 56229, 52666, 50326, 54731, 50309, 51148, 78872, 50876, 51148, 77113, 50931, 51103, 50999, 51103, 51247, 52208, 50416, 50999, 54731, 50330, 51851, 50418, 51062, 54731, 50333, 52134, 63766, 54731, 50333, 67643, 50999, 62574, 50337, 77679, 51062, 62574, 50340, 57051, 51339, 54731, 50345, 72925, 51814, 55583, 50349, 51128, 74413, 54731, 50340, 51851, 63174, 52666, 50345, 51297, 65281, 54731, 50349, 51851, 50435, 50931, 70356, 63136, 50871, 62574, 50321, 60438, 50877, 54731, 50325, 75770, 51244, 50877, 51244, 50876, 51244, 77113, 50931, 51103, 50999, 51103, 50440, 50876, 62574, 50328, 51297, 50442, 50931, 55583, 50333, 60226, 50999, 54731, 50337, 70003, 51062, 62574, 50340, 63491, 50931, 74783, 61082, 51339, 62574, 50345, 60801, 51814, 54731, 50349, 51000, 50452, 50871, 54191, 50340, 51851, 50454, 50877, 54731, 50345, 51851, 50455, 50931, 55835, 50931, 74783, 66423, 52666, 50349, 51297, 50458, 50871, 55583, 50321, 51128, 50460, 50877, 62574, 50325, 51128, 51755, 50817, 50876, 54731, 50331, 52666, 50311, 51313, 50906, 51313, 50906, 51307, 51001, 51313, 51001, 51307, 50951, 51307, 52046, 52208, 50416, 50931, 55583, 50335, 51297, 50746, 50331, 53454, 50418, 50999, 55583, 50338, 77678, 50931, 53420, 51405, 54731, 50343, 67643, 51487, 62574, 50347, 77679, 50861, 54731, 50338, 51851, 60564, 52666, 50343, 51297, 50427, 50931, 51128, 50428, 50931, 73747, 54191, 50347, 51851, 79580, 62574, 50323, 57378, 50906, 54731, 50326, 66380, 51001, 55583, 50331, 64568, 51001, 64026, 63136, 50951, 55583, 50335, 61389, 51081, 54731, 50338, 79743, 50931, 50908, 50440, 51405, 55583, 50343, 74594, 51001, 78945, 60067, 51487, 62574, 50347, 51128, 58365, 52666, 50338, 51297, 76495, 54191, 50343, 51851, 53761, 52254, 50448, 50931, 50928, 51001, 54191, 50347, 71841, 51001, 78945, 59602, 54731, 50323, 51000, 50452, 50906, 55583, 50326, 51128, 50454, 51001, 55583, 50331, 75429, 51001, 55835, 50951, 54731, 50335, 73706, 51081, 55583, 50338, 51128, 50460, 51405, 55583, 50343, 51297, 50461, 51001, 50870, 51755, 50817, 50951, 52666, 50335, 54731, 50287, 52369, 50906, 52151, 50899, 51313, 50861, 51313, 50902, 51307, 50951, 51307, 51081, 51307, 50416, 51081, 54191, 50338, 51851, 50418, 51146, 54191, 50343, 79786, 50951, 54731, 50335, 67643, 51001, 50870, 51081, 55583, 50338, 51297, 50424, 51146, 55583, 50342, 57051, 51487, 54731, 50347, 51000, 50427, 51001, 51128, 50428, 50861, 54191, 50338, 52134, 50430, 50906 ]

[ 0, 250, 12298, 1619, 19834, 19, 10, 2842, 9, 3495, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 9590, 6, 18558, 6, 8, 23338, 33518, 1264, 6, 7630, 14805, 10, 5823, 1827, 8, 19448, 5466, 1969, 13, 5, 2317, 191, 6, 278, 11, 381, 3694, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 33215, 16739, 9, 83, 406, 6, 211, 6, 8, 3676, 406, 3639, 7, 63, 1144, 26016, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 60859, 50854, 51768, 54181, 50903, 50854, 51955, 50854, 65309, 54217, 50420, 51032, 51286, 51292, 51173, 50429, 51292, 51033, 51032, 57647, 51067, 57659, 51076, 52877, 51076, 50860, 51067, 51021, 50442, 64836, 51032, 54672, 51032, 50865, 50947, 55000, 76889, 51076, 62990, 51076, 54934, 50929, 50924, 51809, 71263, 50947, 65290, 50947, 50936, 50998, 50967, 50427, 50929, 57659, 50929, 50923, 50434, 50998, 50917, 50439, 70590, 50440, 50986, 62077, 50998, 67207, 50986, 51505, 50452, 71927, 50457, 73085, 50960, 51314, 50458, 50998, 51047, 50460, 50929, 51077, 50796, 50436, 51444, 50918, 50437, 50986, 51447, 50438, 51136, 51080, 50440, 51078, 51417, 77035, 51585, 51207, 51103, 57761, 51477, 50425, 50929, 58326, 51076, 60307, 51444, 58346, 52012, 73779, 51207, 72269, 52678, 51060, 50986, 51380, 50998, 56109, 52012, 76172, 52235, 51894, 50799, 53092, 73009, 51311, 51283, 50425, 50960, 51738, 51078, 51109, 50431, 51067, 50977, 50436, 51246, 51127, 50437, 50929, 51148, 50970, 51447, 50439, 51316, 51397, 50454, 51992, 56388, 52235, 50925, 50460, 51131, 51445, 52012, 51671, 60938, 51400, 50986, 51313, 50415, 51992, 72857, 51992, 59852, 51971, 56382, 65783, 50427, 51971, 58812, 51971, 54216, 50998, 51452, 50435, 51971, 50918, 60533, 51218, 50419, 50986, 51351, 50425, 50929, 71783, 51076, 51060, 50431, 50947, 60234, 51444, 51134, 50436, 50986, 51645, 50437, 51078, 64345, 51076, 51356, 50456, 53092, 52567, 51725, 50800, 77035, 51161, 53092, 51714, 50420, 51207, 51714, 50425, 50960, 51134, 50432, 50929, 51742, 50444, 50960, 51295, 50453, 52678, 51754, 53092, 73363, 52235, 51161, 76572, 74258, 51207, 51115, 50425, 51317, 68869, 50929, 51452, 50438, 51317, 71158, 51207, 51283, 50447, 51992, 66604, 52235, 50840, 77035, 50880, 52012, 51655, 50417, 51992, 54658, 51971, 50810, 51131, 52071, 50425, 51971, 53049, 50986, 51692, 50998, 51422, 50430, 51971, 54216, 51076, 75407, 51971, 62439, 51971, 59921, 51076, 66326, 51971, 69279, 51032, 57824, 51067, 51923, 51292, 50901, 50799, 51292, 51310, 51444, 51359, 60434, 51542, 50426, 51078, 51380, 51076, 61271, 51292, 51480, 50438, 50986, 51314, 51078, 51080, 50445, 51292, 51411, 50446, 51270, 54368, 51270, 61082, 51270, 52743, 51389, 50896, 51270, 57830, 51064, 61219, 51207, 56515, 50460, 50960, 53651, 50461, 50970, 51419, 76139, 52311, 51098, 51196, 50947, 51134, 50913, 65685, 55105, 51383, 63463, 54689, 51270, 53869, 56789, 50970, 51965, 50432, 51383, 55335, 75116, 50947, 60465, 52078, 51048, 51064, 51381, 51270, 53869, 55368, 51760, 50936, 50913, 50368, 52051, 53996, 51971, 50911, 51389, 50889, 50913, 60033, 54363, 50947, 59781, 51760, 50383, 52638, 53123, 73706, 68424, 50460, 51850, 51196, 53458, 52512, 51076, 51048, 50913, 62381, 53004, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 51032, 60836, 54056, 51067, 53974, 51076, 53189, 64491, 67490, 52078, 50800, 51064, 52841, 51389, 50897, 50947, 71038, 72613, 59138, 50970, 52597, 51098, 50917, 50960, 56474, 65685, 54914, 51311, 52848, 51971, 50823, 52078, 50849, 50947, 50942, 51383, 55473, 60554, 50970, 51110, 50454, 52527, 52163, 51098, 50865, 61414, 51383, 52245, 61688, 51971, 78030, 62329, 50460, 51725, 53588, 50461, 51207, 52335, 50799, 53399, 51059, 51461, 51685, 50998, 50971, 50986, 52519, 50913, 56017, 76415, 50929, 51749, 66817, 63463, 54689, 51270, 53869, 56789, 52235, 51551, 50432, 50986, 52256, 51383, 55335, 59656, 50929, 51310, 51270, 53869, 55368, 52078, 50917, 50998, 51108, 50913, 50368, 52051, 53996, 51984, 50955, 50986, 51481, 50913, 60033, 52738, 51150, 50917, 51207, 54171, 51383, 53123, 61736, 51725, 51359, 50461, 50986, 51080, 55929, 52097, 51136, 51878, 50929, 51445, 50913, 62381, 53004, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 51270, 52359, 50913, 64491, 67490, 53399, 50894, 51150, 57413, 50913, 54927, 51150, 51191, 51136, 51627, 51270, 68569, 52235, 72473, 53085, 73374, 50986, 51242, 50913, 65685, 53003, 53399, 51226, 51207, 51159, 51383, 55473, 55735, 51150, 50917, 50986, 50959, 51383, 52245, 50886, 59000, 51285, 53092, 51445, 50913, 56017, 64685, 52235, 68655, 51207, 52071, 51383, 63463, 72640, 53399, 55889, 52235, 50865, 51311, 52256, 51270, 53869, 53998, 51992, 50812, 50960, 51381, 50929, 51477, 51383, 55335, 70008, 51992, 53574, 51668, 51095, 51270, 53869, 69506, 52235, 58937, 51311, 51637, 50913, 50368, 52051, 66880, 51992, 58624, 51668, 51227, 50960, 51199, 50913, 60033, 58014, 50929, 61703, 51383, 53123, 51000, 56098, 51472, 51574, 51307, 51270, 55473, 60209, 51311, 53588, 50420, 50998, 51097, 50913, 60776, 50913, 58115, 50929, 51174, 51270, 54951, 51270, 52373, 59825, 51270, 58964, 50913, 64115, 54149, 51067, 51267, 50428, 61830, 50431, 50929, 51452, 65304, 62425, 51270, 63795, 50998, 51148, 50435, 51270, 60591, 51270, 54728, 51984, 51267, 51076, 51183, 50913, 72613, 73946, 51270, 54758, 50913, 52800, 51668, 50849, 51383, 55473, 72584, 51992, 51014, 50455, 52678, 52163, 51984, 50987, 51383, 55473, 57187, 51992, 51033, 54389, 50807, 52012, 51312, 51131, 51312, 50986, 51312, 50998, 51253, 50913, 56017, 60209, 51971, 52195, 66817, 63463, 54689, 51668, 51227, 50960, 51203, 53092, 51484, 51078, 51576, 51270, 53869, 63726, 51311, 52034, 50432, 51383, 55335, 51126, 50436, 51725, 51312, 50437, 50998, 51645, 50986, 52048, 57385, 51345, 50929, 51423, 51270, 53869, 55368, 50913, 50368, 52051, 56197, 53805, 51381, 50448, 50998, 50932, 51317, 52011, 50450, 51868, 51235, 50947, 51253, 50913, 60033, 52738, 51383, 53123, 74445, 51444, 51535, 50461, 68104, 50998, 51775, 56950, 51356, 51321, 52501, 62381, 64936, 50929, 60115, 50986, 51108, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 50998, 51233, 51270, 52359, 65244, 51321, 53522, 64491, 51319, 50433, 51321, 54034, 51321, 57892, 50986, 51314, 51444, 64488, 51273, 51343, 51136, 51148, 51321, 56428, 72613, 68569, 51078, 51878, 50444, 52678, 50993, 50913, 65685, 53003, 50913, 74635, 59994, 51992, 62620, 51389, 50977, 51383, 52245, 57187, 52235, 51014, 53458, 50918, 51207, 51562, 50913, 65685, 60209, 52235, 51379, 50420, 51311, 51824, 50960, 51058, 78445, 51383, 63463, 64761, 51992, 51541, 50426, 51311, 51142, 61414, 50929, 51376, 52123, 50807, 51555, 51003, 51902, 50943, 51270, 53869, 53998, 76441, 62151, 50929, 51423, 51383, 55335, 59656, 51668, 51157, 51207, 51080, 52089, 50807, 51902, 50889, 51612, 50807, 51270, 53869, 74577, 53568, 59808, 53729, 53114, 51311, 51123, 61811, 50929, 68723, 50368, 52051, 66880, 53568, 64072, 51563, 50940, 50449, 50929, 58038, 51261, 51013, 51311, 50925, 50960, 50910, 51783, 50807, 51722, 50943, 52170, 61559, 60033, 61425, 51292, 53176, 51786, 50822, 51311, 50878, 50960, 50925, 78125, 51383, 53123, 61736, 51563, 50808, 54389, 51446, 52012, 51127, 52041, 51591, 51584, 51518, 51567, 51518, 50913, 62381, 64936, 51292, 51241, 60434, 51008, 71656, 50998, 50978, 50913, 61851, 63416, 50913, 53991, 50913, 60931, 50913, 54818, 50986, 51008, 50998, 51058, 67765, 51270, 54056, 50947, 54216, 50986, 50959, 50998, 50955, 50929, 50959, 51032, 71038, 64491, 67490, 51292, 51724, 51389, 50914, 79773, 51444, 51244, 50913, 72613, 64831, 51131, 51637, 50444, 70698, 78125, 50913, 65685, 59265, 51563, 69204, 51273, 51048, 50960 ]

[ 0, 250, 2635, 12, 20764, 5175, 19834, 11, 230, 10431, 3694, 6, 4246, 10, 13305, 6, 38668, 22052, 6, 8, 41, 3459, 9590, 4, 20, 15229, 7630, 6568, 10, 25306, 8, 9066, 5466, 6, 19, 17878, 9, 15073, 8, 11926, 4, 20, 33215, 16739, 9, 83, 6, 2060, 6, 8, 230, 10431, 17992, 7, 5, 2214, 18, 19448, 13569, 9862, 6, 25451, 11844, 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 ]

[ 50799, 50620, 50796, 55753, 50620, 50438, 51799, 53177, 50294, 53177, 50306, 50807, 61372, 50915, 50927, 55247, 52759, 53177, 50293, 53177, 50305, 50807, 67791, 50915, 51228, 50915, 50799, 69630, 56082, 51966, 56082, 51378, 52045, 50701, 50286, 53849, 53344, 53478, 61791, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 61104, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 56014, 76033, 72457, 64900, 52216, 50319, 52216, 50324, 67458, 51799, 53177, 50294, 53177, 50306, 50807, 61372, 50915, 50927, 56306, 51086, 69442, 65721, 80095, 70358, 74337, 67427, 52759, 53177, 50293, 53177, 50305, 50807, 67791, 50915, 51228, 57414, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 50799, 69630, 51551, 51966, 51551, 51378, 50918, 50701, 50286, 51047, 53344, 51047, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 61104, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 56014, 76033, 72457, 64900, 52216, 50319, 52216, 50324, 67458, 51799, 53177, 50294, 53177, 50306, 50807, 61372, 50915, 50927, 56306, 51086, 69442, 65721, 80095, 70358, 74337, 67427, 52759, 53177, 50293, 53177, 50305, 50807, 67791, 50915, 51228, 57414, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 50799, 69630, 51551, 51966, 51551, 51378, 50918, 50701, 50286, 51047, 53344, 51047, 56945, 52216, 50305, 74468, 65351, 65351, 75867, 52216, 50322, 51432, 56248, 74468, 75867, 72713, 52858, 50320, 52858, 50322, 52858, 50329, 51432, 58296, 74468, 80095, 70358, 70358, 52216, 50322, 52858, 50327, 67458, 51247, 53177, 50297, 53177, 50309, 50807, 55825, 50915, 50945, 56306, 51086, 71066, 65351, 80095, 70358, 77882, 67427, 51841, 53177, 50296, 53177, 50308, 50807, 67348, 50915, 51019, 57414, 51086, 71066, 72457, 80095, 70358, 52216, 50324, 51432, 76956, 51551, 51279, 51551, 51027, 50918, 75154, 51047, 51069, 51047, 61683, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 62144, 72457, 65351, 72713, 52858, 50325, 52858, 50332, 65298, 50989, 74468, 65351, 70358, 77882, 52858, 50330, 67458, 51279, 53177, 50301, 53177, 50313, 50807, 55500, 50915, 51011, 56306, 50956, 74468, 75867, 52216, 50319, 52216, 50322, 52858, 50329, 67427, 51503, 53177, 50300, 53177, 50312, 50807, 57380, 50915, 51325, 57414, 50956, 74468, 64900, 52216, 50319, 52216, 50322, 52858, 50328, 51432, 57528, 52759, 52382, 51360, 52382, 51040, 53380, 67791, 54143, 51228, 54143, 56440, 67816, 71174, 68081, 52104, 50324, 52104, 50329, 58069, 50989, 75670, 60242, 66918, 73276, 52104, 50330, 56427, 50899, 75670, 51853, 50315, 66918, 51853, 50322, 52104, 50327, 58151, 50916, 67816, 71174, 68081, 52104, 50324, 52104, 50329, 59388, 51040, 67336, 60242, 71174, 68081, 52104, 50325, 51079, 56279, 75670, 51853, 50315, 66918, 51853, 50322, 52104, 50327, 59111, 51086, 70313, 67816, 51853, 50315, 66918, 51853, 50324, 51079, 57346, 67336, 60242, 71174, 68081, 52104, 50325, 51079, 61683, 67336, 60242, 71174, 68081, 52104, 50325, 51079, 53337, 75670, 51853, 50315, 66918, 51853, 50322, 52104, 50327, 56427, 51086, 70313, 67816, 51853, 50315, 66918, 51853, 50324, 58151, 51040, 67336, 60242, 71174, 68081, 52104, 50325, 59388, 51027, 51853, 50305, 75670, 60242, 71174, 51853, 50322, 58369, 51086, 70313, 67816, 51853, 50315, 66918, 51853, 50324, 51079, 50455, 50623, 50456, 51176, 51853, 50303, 60912, 67816, 51853, 50315, 66257, 51079, 56310, 51853, 50305, 75670, 60242, 71174, 51853, 50322, 51079, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 61104, 78912, 65351, 75867, 72713, 52858, 50325, 51432, 56014, 76033, 72457, 64900, 52216, 50319, 52216, 50324, 67458, 51799, 53177, 50294, 61861, 50807, 61372, 51330, 50927, 56306, 51086, 69442, 65721, 80095, 70358, 74337, 51432, 50448, 50623, 50450, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 50915, 50451, 50623, 50453, 50623, 50455, 50623, 50456, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 50457, 50622, 50460, 50622, 61791, 69630, 51551, 51966, 51047, 51378, 50918, 50701, 50286, 51447, 53344, 51047, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 56248, 74468, 75867, 72713, 52858, 50322, 52858, 50329, 51432, 58296, 74468, 80095, 70358, 52216, 50322, 52858, 50327, 67458, 51799, 53177, 50294, 61861, 50807, 61372, 51330, 50927, 56306, 51086, 69442, 65351, 80095, 70358, 77882, 67427, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 57414, 51176, 52216, 50303, 69442, 72457, 80095, 74056, 51432, 57528, 69630, 55362, 51966, 52919, 51378, 52382, 50701, 50286, 55844, 53344, 52919, 56945, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 51432, 62795, 71066, 65721, 80095, 70358, 74337, 65298, 51026, 52216, 50303, 78912, 65721, 80095, 72713, 51432, 63809, 52216, 50305, 74468, 65351, 75867, 52216, 50322, 71835, 51378, 52216, 50301, 71066, 74468, 65351, 70358, 56989, 51026, 52216, 50303, 78912, 65721, 80095, 72713, 51432, 50456, 51315, 52216, 50303, 52216, 50305, 78912, 65721, 75867, 51074, 59130, 52216, 50303, 71066, 74468, 80095, 70358, 63961, 51378, 52216, 50303, 71066, 74468, 80095, 70358, 55752, 51027, 52216, 50303, 74468, 65351, 80095, 52216, 50322, 65298, 51026, 52216, 50303, 78912, 65721, 80095, 72713, 67458, 52206, 53177, 50292, 60045, 50807, 57054, 51330, 50964, 56306, 51027, 71066, 74468, 65351, 70358, 56989, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 57414, 51176, 52216, 50303, 52216, 50305, 69442, 72457, 75867, 51074, 61791, 69630, 51551, 51966, 51047, 51378, 50918, 50701, 50286, 51447, 53344, 62976, 51360, 52104, 50301, 52104, 50310, 58069, 51315, 52104, 50305, 67252, 56427, 51197, 68996, 78502, 58151, 51799, 53177, 50294, 61861, 50807, 61372, 51330, 50927, 56306, 51086, 65594, 64675, 58369, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 51330, 51228, 57414, 51176, 52104, 50303, 65594, 51079, 57528, 69630, 51551, 51966, 51047, 51378, 50918, 50701, 50286, 51447, 53344, 51047, 50419, 50622, 50420, 51360, 52104, 50301, 52104, 50310, 51079, 50424, 50622, 50426, 51315, 52104, 50305, 67252, 72373, 50622, 50432, 51197, 68996, 78502, 51079, 50433, 50622, 50438, 50622, 51799, 53177, 50294, 61861, 50807, 61372, 50915, 50927, 50915, 50443, 50622, 50444, 51086, 65594, 64675, 51079, 50448, 50622, 50450, 52759, 53177, 50293, 51619, 50305, 50807, 67791, 50915, 51228, 65421, 50621, 50456, 51176, 52104, 50303, 65594, 51079, 50457, 50621, 50460, 50619, 57739, 50877, 51608, 50274, 51036, 51966, 51036, 50418, 51040, 65023, 50989, 57818, 51197, 72271, 50889, 78313, 63125, 50989, 59577, 51120, 58532, 50889, 50442, 51086, 65845, 50871, 58238, 51360, 65593, 50889, 50454, 51027, 63303, 51040, 50955, 57551, 61915, 50807, 51966, 51307, 50418, 51040, 68102, 50989, 58382, 51197, 63403, 50807, 50430, 60031, 50434, 50989, 55467, 51120, 63925, 51013, 50442, 51086, 62928, 50871, 56060, 51360, 68036, 51013, 50454, 51027, 61997, 75184, 55547, 71734, 51013, 50418, 51040, 63980, 50989, 55440, 51503, 66154, 51016, 50430, 50899, 66855, 50989, 58927, 51324, 56831, 51016, 50442, 51086, 69775, 69874, 50448, 50630, 50450, 51279, 63057, 51016, 50454, 51040, 68627, 69874, 57844, 51167, 51120, 50807, 50418, 51086, 71876, 69874, 50877, 58216, 51503, 60939, 51016, 50430, 51086, 61172, 50989, 55467, 50877, 51215, 51360, 50889 ]

[ 0, 250, 765, 8, 20902, 3495, 247, 37903, 4246, 21979, 8669, 6, 24896, 6, 2020, 3548, 6, 3459, 9590, 6, 8, 21072, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 149, 63, 15352, 30054, 15229, 11, 5, 762, 9, 83, 538, 19, 10, 1769, 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 ]

[ 54458, 50799, 52146, 51241, 58075, 54925, 51997, 50943, 50416, 53154, 51221, 52906, 50818, 51149, 59214, 51149, 52329, 50801, 52538, 71332, 51149, 58967, 51149, 56999, 51149, 57647, 63360, 51658, 71332, 50935, 55885, 50852, 62372, 58631, 50801, 52538, 52141, 52349, 63360, 51755, 52141, 61658, 50924, 52906, 61031, 54080, 50868, 55341, 50801, 52538, 52141, 54013, 50848, 52559, 63360, 51042, 50879, 51658, 52141, 66141, 51291, 56960, 50818, 51899, 52141, 52349, 50801, 60079, 50799, 52146, 51241, 58075, 54925, 51997, 50943, 50416, 53154, 51221, 52906, 61658, 59214, 50868, 52329, 50801, 52538, 52141, 61658, 58967, 50868, 56999, 50868, 57647, 63360, 51658, 71332, 51042, 55885, 63360, 50946, 58631, 50801, 52538, 52141, 52349, 63360, 51755, 71332, 51217, 50924, 52906, 77636, 54080, 51217, 55341, 50801, 52538, 52141, 54013, 51171, 52559, 63360, 51791, 50879, 51658, 71332, 51171, 51291, 50444, 53058, 50887, 52142, 50887, 51271, 56099, 52493, 52396, 53058, 50887, 52142, 50887, 51213, 56230, 63209, 52349, 53058, 50809, 52142, 73117, 51650, 57979, 60079, 50799, 53058, 50809, 54113, 70979, 68868, 56118, 52543, 50870, 50988, 51535, 51042, 51448, 50848, 51148, 50417, 51951, 50800, 53020, 60830, 50847, 55105, 53020, 50809, 51951, 52634, 56118, 52245, 55893, 51967, 50830, 51951, 50818, 53020, 67287, 59643, 52654, 54113, 50809, 53058, 52773, 56118, 52543, 61033, 50927, 51060, 50429, 53020, 50800, 51951, 58269, 71895, 53020, 50887, 51951, 54015, 56118, 52245, 50895, 62728, 50435, 53020, 50887, 51951, 53418, 51967, 50800, 53020, 50859, 53258, 50859, 50953, 51650, 56118, 52543, 50870, 51042, 51562, 50988, 51397, 50441, 53020, 50887, 53258, 65781, 61763, 50847, 55368, 53020, 50887, 53258, 54015, 56118, 52245, 60635, 50848, 52179, 50447, 53020, 50887, 53258, 50887, 55806, 50935, 54276, 51967, 50795, 53020, 50887, 53258, 50887, 50927, 55955, 56118, 52543, 67512, 50848, 51753, 50453, 52142, 50859, 53258, 50924, 61311, 50935, 53556, 51951, 50887, 50953, 53373, 56118, 52245, 50895, 59629, 50935, 50925, 77630, 50887, 52142, 50924, 50927, 68868, 56118, 52543, 50870, 50946, 52069, 50417, 53058, 55777, 53058, 50887, 52142, 54898, 56118, 52245, 65971, 71794, 54604, 53058, 50887, 52142, 50887, 66523, 50850, 53049, 53058, 50879, 52142, 50879, 51069, 56937, 56118, 52543, 57265, 72977, 50944, 54860, 53058, 50887, 52142, 54898, 56118, 52245, 50895, 69158, 50850, 54125, 53058, 50887, 52142, 55395, 52130, 50887, 52142, 50924, 50927, 60725, 56118, 52543, 50870, 51171, 51115, 50439, 51506, 51295, 50441, 53058, 55489, 53058, 50887, 52142, 54898, 56118, 52245, 65971, 51824, 50447, 53058, 50887, 52142, 50887, 69082, 50850, 54086, 53058, 50952, 52142, 51238, 51069, 68868, 56118, 52543, 56597, 68568, 50944, 55370, 51951, 54015, 56118, 52245, 50895, 69158, 66940, 50799, 52994, 50813, 56212, 50879, 51011, 56937, 56118, 52543, 58120, 52130, 50938, 50946, 51397, 51017, 51562, 50420, 56212, 50859, 52130, 52634, 56118, 52245, 70579, 55754, 56212, 50887, 52130, 56754, 56288, 53425, 53020, 50859, 51967, 50938, 51019, 56937, 56118, 52543, 57265, 50868, 53705, 52142, 50859, 53928, 56949, 56118, 52245, 61361, 59227, 50850, 57581, 56212, 50879, 51011, 56937, 56118, 52543, 50870, 50946, 51145, 51017, 51448, 50439, 52994, 61032, 52130, 55489, 56212, 54015, 56118, 52245, 70579, 57028, 52130, 61952, 54368, 56212, 50859, 52130, 66636, 60168, 50850, 54276, 53020, 50859, 51019, 51650, 56118, 52543, 65392, 51967, 50924, 50454, 50868, 56608, 53137, 53928, 50859, 52142, 50859, 51011, 52108, 56118, 52245, 61612, 50868, 62812, 50897, 50799, 53258, 50893, 52130, 50858, 50927, 56937, 56118, 52543, 50870, 50946, 54532, 50415, 51171, 51397, 51506, 51448, 50417, 53058, 54681, 53258, 50884, 53058, 53683, 56118, 52245, 50895, 67517, 50850, 58092, 51007, 53991, 53258, 50884, 53058, 50884, 67517, 50850, 59864, 52654, 53020, 50884, 53058, 50887, 51069, 53305, 56118, 52543, 57265, 52130, 50859, 52142, 63519, 50944, 54215, 51967, 50924, 52142, 57321, 56118, 52245, 69504, 51681, 50318, 57062, 68112, 51967, 50879, 52142, 51238, 50927, 52773, 56118, 52543, 60470, 51171, 51310, 51506, 51535, 50946, 51448, 50444, 52130, 50879, 50927, 52108, 56118, 52245, 50895, 66697, 50445, 50850, 54914, 52142, 76689, 50857, 55119, 51007, 53639, 51967, 50884, 52142, 50884, 51019, 55236, 56118, 52543, 56597, 51967, 50884, 52142, 50879, 50454, 50944, 57955, 53007, 53058, 50859, 51213, 52390, 56118, 52245, 50895, 69501, 50457, 73563, 51007, 50917, 50799, 53058, 50809, 54113, 70979, 68868, 56118, 52543, 50870, 51042, 51448, 50988, 51417, 50417, 51951, 50800, 53020, 51835, 53020, 50809, 51951, 52634, 56118, 52245, 50895, 57724, 50847, 53109, 51967, 50830, 51951, 50818, 53020, 58269, 63472, 52710, 54113, 50809, 53058, 52773, 56118, 52543, 61033, 50927, 51060, 50429, 53020, 50800, 51951, 56814, 51480, 50847, 52818, 53020, 50887, 51951, 54015, 56118, 52245, 50895, 70531, 50935, 60698, 53020, 50887, 51951, 53418, 51967, 50800, 53020, 50859, 53258, 50859, 50953, 51650, 56118, 52543, 50870, 51042, 51562, 50988, 51397, 50441, 53020, 50887, 53258, 55489, 53020, 50887, 53258, 54015, 56118, 52245, 50895, 58661, 50447, 53020, 50887, 53258, 65646, 59778, 52800, 51967, 50795, 53020, 50887, 53258, 50887, 50927, 55955, 56118, 52543, 56597, 52142, 50859, 53258, 72201, 51480, 50454, 50847, 53555, 51951, 50887, 50953, 53373, 56118, 52245, 70580, 51100, 50847, 50873, 77630, 50887, 52142, 50924, 50927, 68868, 56118, 52543, 50870, 50946, 51448, 50415, 51506, 51749, 51171, 51318, 50417, 53058, 55777, 53058, 50887, 52142, 54898, 56118, 52245, 74951, 60916, 50850, 53991, 53058, 50887, 52142, 72736, 63339, 50850, 70175, 52450, 53058, 50879, 52142, 50879, 51069, 56937, 56118, 52543, 57265, 50944, 53705, 53058, 50887, 52142, 54898, 56118, 52245, 61361, 50944, 67814, 55792, 58952, 53058, 50887, 52142, 55395, 52130, 50887, 52142, 50924, 50927, 60725, 56118, 52543, 50870, 50946, 51148, 51171, 51397, 51506, 51145, 50441, 53058, 65781, 50944, 54394, 53058, 50887, 52142, 54898, 56118, 52245, 56156, 53058, 50887, 52142, 50887, 69082, 50850, 54004, 53058, 50952, 52142, 51238, 51069, 68868, 56118, 52543, 56597, 55688, 50944, 54232, 51951, 54015, 56118, 52245, 74951, 55257, 54298, 50850, 50873, 50799, 52994, 50813, 56212, 50879, 51011, 56937, 56118, 52543, 58120, 52130, 50938, 50946, 52136, 50420, 56212, 50859, 52130, 52634, 56118, 52245, 63754, 50850, 72973, 54446, 56212, 50887, 52130, 59474, 50850, 50862, 51125, 52654, 53020, 50859, 51967, 50938, 51019, 56937, 56118, 52543, 57265, 50850, 52810, 52142, 50859, 53928, 56949, 56118, 52245, 50895, 51017, 53379, 66552, 51125, 57581, 56212, 50879, 51011, 56937, 56118, 52543, 50870, 50946, 51627, 51017, 51318, 50439, 52994, 61032, 52130, 55489, 56212, 54015, 56118, 52245, 50895, 61117, 50445, 52130, 58181, 56212, 50859, 52130, 50887, 67453, 50850, 54208, 53020, 50859, 51019, 51650, 56118, 52543, 65392, 51967, 50924, 50453, 50868, 57349, 53137, 53928, 50859, 52142, 50859, 51011, 52108, 56118, 52245, 50895, 55119, 51125, 50925, 50799, 53258, 50893, 52130, 50858, 50927, 56937, 56118, 52543, 50870, 51171, 51535, 50946, 51080, 51506, 51749, 50417, 53058, 72857, 50944, 52944, 53258, 50884, 53058, 53683, 56118, 52245, 55893, 53020, 50884 ]

[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 25306, 8, 12298, 5466, 6, 4246, 10, 32017, 6, 18558, 6, 21979, 8669, 6, 8, 21072, 6, 70, 8216, 7, 10, 32076, 6711, 326, 25963, 19, 17878, 9, 15073, 8, 9066, 2821, 16235, 6, 278, 11, 83, 3694, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24826, 198, 5, 40286, 1918, 8, 3676, 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 ]

[ 57211, 51064, 51066, 51438, 62819, 51067, 64631, 50947, 51066, 51292, 62568, 51889, 51066, 74080, 51162, 51438, 69706, 51292, 56504, 51067, 56282, 50998, 51162, 50947, 51162, 51292, 69654, 51889, 51484, 72243, 50976, 51292, 71659, 51292, 52968, 51788, 54684, 51788, 55276, 51032, 50976, 51563, 72992, 51563, 52768, 51438, 55273, 51438, 50860, 74080, 50860, 51563, 56111, 51563, 54675, 50947, 50860, 51292, 54684, 51292, 55276, 50970, 51066, 51067, 62568, 50832, 51066, 51889, 51066, 74080, 51066, 52037, 51066, 51240, 62819, 51064, 51066, 51612, 51066, 51236, 64631, 50947, 51066, 52075, 51066, 51240, 62568, 50832, 51066, 74080, 51162, 52037, 51162, 51240, 69706, 51032, 50917, 52075, 62862, 70705, 51064, 50917, 51612, 56282, 50947, 51162, 52075, 51162, 51240, 69654, 50832, 51162, 72243, 50860, 52041, 50976, 51240, 68107, 50947, 62643, 52041, 52968, 50947, 50860, 51584, 50860, 51236, 63284, 50947, 50860, 51584, 55276, 51032, 50860, 51555, 50976, 51240, 63523, 51032, 61443, 51555, 52768, 51067, 50860, 51783, 50860, 51236, 62287, 51067, 50860, 51783, 50860, 50799, 51292, 50860, 51555, 50860, 51240, 56111, 51292, 50860, 51555, 50860, 51236, 54675, 50947, 50860, 52041, 50860, 51240, 54684, 50947, 50860, 52041, 50860, 51236, 55276, 51067, 51066, 52123, 51066, 51240, 62568, 50832, 56721, 50832, 62353, 50832, 55438, 52145, 50817, 56584, 50817, 50799, 55775, 51066, 51438, 51066, 51612, 57759, 62819, 56326, 51066, 51067, 51066, 51722, 51066, 51240, 64631, 56126, 51066, 51292, 51066, 51584, 57759, 62568, 50832, 51066, 50799, 55775, 51066, 51438, 51066, 51612, 57759, 62819, 55775, 50860, 51292, 50860, 51567, 50860, 51240, 54684, 56326, 50860, 51067, 50860, 51722, 50860, 51270, 55276, 56126, 51066, 51292, 51066, 51584, 57759, 62568, 51769, 51066, 50799, 56048, 50976, 51292, 50976, 51584, 53236, 68107, 51584, 62643, 56048, 50811, 51292, 52968, 55496, 50860, 51788, 50860, 51584, 58284, 62938, 50832, 50817, 51999, 58976, 50832, 52265, 55496, 50860, 51788, 50860, 51584, 50860, 51270, 55276, 56547, 50860, 51563, 50976, 51567, 50860, 51240, 56059, 56547, 50860, 51567, 71232, 50447, 51563, 52768, 55775, 50860, 51438, 50860, 51612, 55273, 55775, 50860, 51438, 50860, 51612, 50860, 50799, 56126, 50860, 51563, 50860, 52075, 58284, 51066, 51065, 51066, 51240, 68107, 62611, 50860, 51563, 50860, 52075, 54675, 55775, 50860, 51292, 50860, 51584, 50860, 51270, 63284, 55693, 50860, 51292, 50860, 51584, 55276, 64093, 51066, 51067, 51066, 51612, 57759, 51112, 51240, 62568, 51889, 62287, 55093, 50860, 50799, 55775, 50976, 51067, 51066, 52037, 51066, 51240, 50860, 55997, 50860, 51270, 62643, 55775, 52968, 55693, 50860, 51064, 51066, 51612, 51066, 51240, 54684, 55496, 58284, 50860, 51270, 55276, 56126, 50976, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 61443, 62611, 52768, 55775, 50860, 51240, 55273, 55693, 58284, 50860, 51270, 50860, 50799, 57822, 50860, 51067, 51066, 52037, 51066, 51240, 56111, 55775, 58284, 50860, 51270, 54675, 55775, 50860, 51032, 50860, 52075, 50860, 51240, 54684, 55693, 50860, 51064, 50860, 51612, 58284, 50860, 51270, 55276, 55775, 51066, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 55093, 58284, 50860, 51270, 50860, 50799, 56048, 51100, 50947, 50917, 52041, 51100, 51240, 61195, 50947, 69234, 50917, 51270, 78768, 56048, 50836, 52041, 53425, 55496, 50938, 50947, 50938, 51584, 50938, 51240, 56632, 55496, 50938, 50947, 50938, 51584, 60662, 50938, 51270, 57581, 56547, 50865, 51032, 50865, 51555, 51060, 51240, 55700, 56547, 50809, 51032, 58441, 65924, 64127, 56547, 50809, 51555, 52555, 55775, 50924, 51067, 50924, 51783, 50924, 51240, 58603, 55775, 50924, 51067, 50924, 51783, 66639, 50924, 51270, 50924, 50799, 56126, 50948, 51292, 50948, 51555, 50948, 51240, 62229, 62611, 50948, 51292, 50948, 51555, 66034, 50948, 51270, 58292, 55775, 50936, 50947, 50936, 52041, 50936, 51240, 57611, 55693, 50936, 50947, 50936, 52041, 60933, 50936, 51270, 57626, 64093, 51500, 51067, 51500, 52123, 51500, 51769, 51500, 50450, 51889, 51603, 50799, 66105, 51066, 51438, 51066, 51612, 51066, 51289, 62819, 50725, 50342, 51066, 51067, 51066, 51722, 57759, 64631, 79355, 51066, 51292, 51066, 51584, 51066, 51289, 51066, 57613, 51066, 50799, 66105, 51112, 51438, 51112, 51612, 51112, 51289, 68586, 66105, 50865, 51292, 50865, 51567, 54070, 68178, 50725, 50342, 50865, 51067, 50865, 51722, 54930, 79355, 51112, 51292, 51112, 51584, 51112, 51289, 51112, 57613, 51112, 50832, 51112, 50799, 56126, 50976, 51292, 50976, 51584, 50860, 51240, 56111, 51584, 58284, 50860, 51270, 62643, 56126, 50811, 51292, 52968, 61557, 50860, 51788, 50860, 51584, 50860, 51240, 54684, 61557, 50860, 51788, 50860, 51584, 58284, 50860, 51270, 55276, 60060, 50860, 51563, 50976, 51567, 50860, 51240, 56059, 60060, 50860, 51567, 58284, 50860, 51270, 61443, 51563, 52768, 66105, 50860, 51438, 50860, 51612, 50860, 51240, 55273, 66105, 50860, 51438, 50860, 51612, 58284, 50860, 51270, 50860, 50799, 79355, 50860, 51563, 50860, 52075, 50860, 51240, 56111, 50725, 50339, 50860, 51563, 50860, 52075, 58284, 50860, 51270, 54675, 66105, 50860, 51292, 50860, 51584, 50860, 51240, 54684, 60588, 50860, 51292, 50860, 51584, 58284, 50860, 51270, 55276, 74706, 51066, 51067, 51066, 51612, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 56326, 58284, 50860, 51270, 50860, 50799, 66105, 50976, 51067, 51066, 52037, 51066, 51240, 50860, 55997, 50860, 51270, 62643, 66105, 52968, 60588, 50860, 51064, 51066, 51612, 51066, 51240, 54684, 61557, 58284, 50860, 51270, 55276, 66105, 50976, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 61443, 66105, 52768, 56326, 50860, 51240, 55273, 56326, 58284, 50860, 51270, 50860, 50799, 66105, 50976, 51067, 51066, 52037, 51066, 51240, 50860, 55997, 50860, 51270, 62643, 66105, 52968, 66105, 50860, 51032, 50860, 52075, 50860, 51240, 54684, 60588, 50860, 51064, 50860, 51612, 58284, 50860, 51270, 55276, 66105, 51066, 50947, 51066, 52075, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 56326, 58284, 50860, 51270, 50860, 50799, 66105, 50976, 50947, 50860, 52041, 50976, 51240, 56111, 50947, 58284, 50860, 51270, 62643, 66105, 50811, 52041, 52968, 61557, 50860, 50947, 50860, 51584, 50860, 51240, 54684, 61557, 50860, 50947, 50860, 51584, 58284, 50860, 51270, 55276, 60060, 50976, 51032, 50860, 51555, 50976, 51240, 56059, 51032, 58284, 50860, 51270, 61443, 60060, 50811, 51555, 52768, 66105, 50860, 51067, 50860, 51783, 50860, 51240, 55273, 66105, 50860, 51067, 50860, 51783, 58284, 50860, 51270, 50860, 50799, 79355, 50860, 51292, 50860, 51555, 50860, 51240, 56111, 50725, 50339, 50860, 51292, 50860, 51555, 58284, 50860, 51270, 54675, 66105, 50860, 50947, 50860, 52041, 50860, 51240, 54684, 60588, 50860, 50947, 50860, 52041, 58284, 50860, 51270, 55276, 74706, 51066, 51067, 51066, 52123, 51066, 51240, 56059, 50832, 50860, 51270, 54554, 51240, 55273, 50832, 50860, 51270, 50860, 50799, 56326, 51066, 66105, 51066, 51438, 51066, 51612, 51066, 51240, 50860, 55997, 50860, 51270, 54675, 61557, 51066, 50725, 50342, 51066, 51067, 51066, 51722, 51066, 51240, 54684, 50832, 50860, 51270, 55276, 60060, 51066, 79355, 51066, 51292, 51066, 51584, 51066 ]

[ 0, 713, 8787, 5175, 8, 25771, 15229, 6, 278, 11, 5, 762, 9, 274, 10431, 3694, 6, 1931, 21683, 10, 19448, 8, 5679, 26709, 5466, 4, 590, 10, 23667, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 24897, 3222, 5785, 9, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 12280, 3275, 1725, 3109, 6, 8, 38668, 22052, 4, 20, 16331, 33215, 16739, 9, 83, 6, 163, 119, 406, 6, 8, 230, 10431, 119, 406, 31473, 10, 1472, 9, 31657, 1328, 5, 2125, 6, 150, 5, 15352, 30054, 4785, 35334, 10, 12405, 1619, 16464, 6, 442, 24, 157, 12, 9228, 4560, 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 ]

[ 67004, 50796, 50461, 50902, 53259, 51601, 51114, 53259, 73229, 52919, 50416, 50861, 53753, 51231, 53753, 50417, 51220, 53259, 50418, 50702, 50334, 54249, 55746, 50989, 51717, 51146, 51717, 51719, 51717, 58684, 53295, 50702, 50342, 52204, 50796, 50796, 55746, 50902, 53259, 50428, 51114, 53259, 51220, 53259, 50702, 50339, 54249, 50429, 50861, 52919, 51231, 52919, 73229, 52919, 50796, 50443, 50989, 51717, 51719, 51717, 58684, 51717, 50444, 50999, 52149, 50702, 50337, 52204, 50445, 50902, 52149, 50702, 50342, 52204, 50796, 50796, 55746, 52206, 52149, 50450, 73229, 51151, 58714, 51449, 50702, 50334, 51449, 50796, 50437, 50916, 52720, 50877, 52720, 51249, 52720, 50450, 58684, 53295, 64069, 56235, 50796, 50796, 59419, 52720, 50902, 52122, 50440, 50999, 52122, 50441, 73229, 53295, 64069, 51717, 50702, 50342, 56235, 50796, 50796, 50434, 50989, 52337, 51719, 52337, 50435, 50902, 52337, 51457, 52337, 61019, 51717, 73229, 51717, 58714, 51717, 50796, 61627, 50951, 50889, 55076, 55247, 50999, 50889, 56318, 50915, 60497, 53363, 51231, 53233, 50416, 51220, 51538, 58749, 51452, 50444, 51146, 51623, 59584, 51452, 57731, 51719, 51717, 50424, 50968, 52024, 50425, 51399, 51538, 63810, 51422, 50460, 50999, 52919, 56318, 53363, 50796, 52591, 50951, 51452, 51465, 52919, 55076, 51623, 50446, 51220, 51538, 58749, 51538, 50796, 78740, 55408, 50430, 50968, 55408, 56318, 54834, 50431, 51114, 53295, 51410, 51717, 50796, 51809, 51457, 51790, 50426, 51818, 51562, 50441, 50877, 52644, 51249, 53849, 50443, 50902, 51717, 51410, 52204, 50444, 51114, 51717, 52948, 53454, 54638, 51717, 55746, 51457, 51692, 50458, 50899, 52204, 51465, 52204, 50459, 50989, 51717, 50460, 50877, 52644, 50799, 53818, 51717, 51809, 51457, 51692, 50428, 51818, 51692, 50441, 50877, 51717, 50442, 50902, 51717, 50443, 63857, 51717, 50444, 51114, 51717, 52948, 52122, 50796, 50436, 54310, 52122, 61627, 51410, 52204, 51719, 52204, 54638, 51717, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50799, 61372, 51492, 55500, 51036, 52016, 51492, 52582, 51036, 50799, 54549, 51036, 72890, 50799, 53496, 51036, 52582, 51036, 68662, 50799, 54549, 51036, 52016, 51036, 72890, 50920, 55772, 51349, 51631, 51684, 61120, 52474, 55154, 50365, 54297, 57080, 50918, 50903, 50809, 63306, 52510, 50913, 61402, 54105, 50852, 56994, 61114, 50913, 61402, 51319, 50799, 61372, 51492, 55500, 51036, 52016, 51036, 52582, 51036, 51181, 51605, 51171, 51359, 51444, 51036, 51719, 50983, 55061, 75195, 54320, 56994, 52628, 50946, 52015, 50960, 50918, 52326, 51605, 53249, 52015, 50913, 61402, 53935, 50848, 51218, 51131, 50918, 51410, 51161, 52573, 51218, 54958, 51084, 58467, 50944, 50918, 51078, 51036, 51719, 51358, 53322, 50918, 50913, 61402, 53980, 50903, 50809, 63306, 52510, 50848, 51127, 56745, 52573, 51127, 50913, 61402, 54105, 67034, 59737, 53249, 50915, 72657, 61114, 51181, 50865, 50944, 50918, 56745, 53322, 55755, 53123, 61402, 51319, 50799, 54549, 51036, 52016, 51036, 72890, 51181, 51605, 51217, 51359, 51444, 51036, 51231, 50983, 55342, 75195, 50809, 58633, 52628, 50848, 51945, 50960, 50918, 52571, 51605, 52573, 51945, 50913, 61402, 53935, 51042, 51127, 51311, 50918, 53895, 51127, 72657, 58467, 50847, 50918, 50929, 51161, 51410, 51358, 51231, 51358, 52049, 50918, 50913, 61402, 53980, 50903, 50809, 63306, 52510, 50946, 51115, 56745, 53249, 51115, 50913, 61402, 54105, 51042, 50914, 69095, 53895, 50914, 50852, 56994, 61114, 51349, 55990, 51351, 50960, 51048, 52049, 51351, 50913, 61402, 51319, 50799, 53496, 51036, 52582, 51036, 68662, 51684, 51161, 51506, 51353, 51444, 51036, 51249, 50983, 56280, 51353, 57347, 57258, 52628, 50944, 51047, 51078, 50918, 51719, 51605, 53322, 51047, 50913, 61402, 53935, 51017, 51244, 51317, 50918, 52102, 51161, 53882, 51244, 72657, 58467, 50850, 51358, 50947, 51358, 51249, 51358, 52242, 51358, 50913, 61402, 53980, 50903, 50809, 63306, 52510, 71537, 51078, 50983, 53322, 70539, 61402, 54105, 51349, 57679, 50915, 67877, 53882, 50915, 72657, 61114, 51910, 58228, 51101, 53322, 69026, 53123, 61402, 51319, 50799, 54549, 51036, 52016, 51036, 72890, 51349, 51036, 51688, 51313, 50946, 51151, 51042, 51151, 50868, 51151, 51311, 51036, 52571, 51036, 51231, 50983, 58739, 51313, 53249, 51151, 53895, 51151, 52740, 69880, 54320, 56994, 69453, 50847, 51264, 50929, 51036, 52049, 51264, 56063, 61402, 53935, 50920, 58467, 51231, 51358, 50913, 61402, 53980, 54445, 50795, 51855, 56969, 52510, 54308, 51048, 52525, 51048, 50913, 61402, 54105, 50852, 56994, 51319, 50454, 52123, 51358, 52086, 51358, 63908, 61402, 51319, 53447, 51161, 51171, 51359, 51444, 51036, 50899, 74882, 50918, 52326, 51161, 51410, 51036, 51457, 51445, 52948, 51939, 55061, 51359, 57347, 57258, 52628, 50946, 52222, 59737, 53249, 52222, 50913, 61402, 53935, 50848, 51518, 50960, 50983, 51027, 51161, 52573, 51518, 72657, 58467, 50944, 51358, 51131, 50983, 53322, 51358, 50913, 61402, 53980, 54308, 50795, 52525, 50795, 51078, 65842, 74882, 50918, 50903, 50809, 63306, 52510, 52123, 51091, 52086, 51091, 56745, 50913, 61402, 54105, 51181, 50807, 59737, 52326, 50795, 52948, 50974, 72657, 61114, 52041, 50807, 52642, 50807, 56745, 52326, 50795, 52948, 65178, 53123, 61402, 51319, 54281, 51036, 51217, 51359, 51574, 51036, 51086, 71651, 61336, 50918, 52571, 51036, 51465, 51036, 51457, 51445, 51981, 51445, 55342, 51359, 57347, 57258, 52628, 50848, 52071, 69095, 52573, 52071, 50913, 61402, 53935, 51042, 51518, 50960, 50983, 53895, 51518, 72657, 58467, 50847, 51358, 51311, 50983, 52049, 51358, 50913, 61402, 53980, 52123, 51060, 52086, 51060, 80145, 51086, 71651, 61336, 50918, 50903, 50809, 63306, 52510, 52041, 51091, 52642, 51091, 56745, 50913, 61402, 54105, 69095, 72657, 61114, 52089, 51091, 53773, 51091, 56745, 50913, 61402, 51319, 55934, 51161, 51506, 51313, 52028, 51036, 51040, 74882, 63831, 50918, 52102, 51036, 51465, 51036, 51719, 51036, 51818, 51445, 52287, 51445, 56280, 51313, 57347, 57258, 52628, 51555, 50807, 52908, 60049, 51714, 67877, 53249, 51714, 50913, 61402, 53935, 51017, 51939, 51078, 50983, 53882, 51939, 72657, 58467, 51584, 50807, 53725, 55541, 51358, 51317, 50983, 52242, 51358, 50913, 61402, 53980, 50947, 50918, 51040, 74882, 63831, 50918, 50903, 50809, 63306, 52510, 52089, 50795, 53773, 50795, 51078, 61559, 61402, 54105, 51640, 51060, 67877, 72657, 51319, 50453, 52089, 50795, 53773, 51923, 51181, 51328, 51078, 51650, 53123, 61402, 67084, 52041, 51358, 52642, 51358, 54468, 51605, 51217, 51151, 51574, 51036, 51086, 71651, 61336, 50918, 52571, 51036, 51465, 51036, 51457, 51445, 51981, 51445, 55342, 51151, 57347, 57258, 52628, 51042, 52222, 69095, 53895, 52222, 50913, 61402, 53935, 50868, 51422, 50960, 50983, 52740, 51422, 51289, 50840, 72657, 58467, 50847, 51623, 51311, 50983, 52049, 51623, 50913, 61402, 53980, 80145, 51086, 71651, 61336, 50918, 50903, 50809, 63306, 64647, 54394, 54445, 50795, 51855, 50795, 56745, 51289, 56530, 61402, 54105, 54308, 50795, 52525, 50795, 51311, 54490, 55217, 61114, 51181, 50809, 52123, 50983, 52086, 50983, 50960, 51650, 53123, 61402, 51319, 53447, 51605, 51171, 51359, 51444, 51036, 51027, 65842, 74882, 50918, 52326, 51161, 51410, 51036, 51457, 51445, 52948, 51445, 55061, 51359, 57347, 57258, 52628 ]

[ 0, 250, 3495, 1619, 2214, 19, 15855, 16882, 6, 4246, 10, 2020, 3548, 6, 21979, 8669, 6, 21040, 2426, 6, 6755, 12547, 6, 8, 38668, 2236, 4, 20, 2125, 16, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 8971, 741, 1685, 4, 20, 33215, 16739, 9, 274, 6, 211, 119, 406, 6, 272, 6, 230, 6, 8, 230, 10431, 37152, 6670, 10, 19448, 8, 5679, 26709, 5466, 6, 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, 63133, 51295, 50422, 50986, 51318, 50425, 51891, 51412, 50426, 51032, 51312, 55445, 51221, 56267, 62763, 53429, 51025, 50434, 51207, 50901, 50437, 52391, 52059, 50438, 51725, 51218, 53560, 51481, 52969, 51380, 50446, 50986, 51391, 50449, 51997, 51363, 53141, 54356, 51032, 52256, 52879, 51277, 50458, 51207, 50866, 50460, 51707, 51025, 53195, 51189, 63133, 51295, 52850, 54861, 50422, 50986, 51108, 50424, 52131, 52460, 50426, 51032, 52378, 52146, 51797, 50432, 52758, 72300, 66493, 50436, 52181, 51412, 50437, 53032, 69397, 51725, 51218, 51891, 51423, 50446, 50986, 51108, 50449, 52162, 50932, 54182, 50857, 54489, 77393, 51032, 51884, 52391, 55574, 50458, 51207, 50955, 50460, 54890, 71206, 58373, 50984, 58700, 51291, 51140, 51241, 59235, 51314, 51229, 52392, 50415, 54182, 51714, 50422, 51131, 51159, 53476, 51679, 50426, 50986, 51242, 50970, 51127, 50947, 51562, 51997, 51645, 52131, 51852, 50434, 51131, 50943, 51140, 50897, 52344, 54938, 51725, 51291, 51461, 51191, 62967, 51080, 50446, 51131, 50943, 53476, 75589, 50986, 51423, 50970, 51345, 50947, 51073, 52131, 51484, 51997, 51576, 50458, 51131, 50925, 51140, 50925, 52344, 51051, 61894, 51109, 50970, 51267, 51064, 51346, 73964, 55338, 51108, 51707, 51709, 52391, 51199, 51408, 51073, 54489, 50914, 50425, 50986, 51645, 50426, 50970, 51255, 50947, 51095, 51140, 51056, 59235, 50932, 51997, 51709, 52131, 50932, 51229, 51345, 54182, 59290, 51311, 51484, 50998, 51377, 51169, 51116, 51493, 51159, 56596, 51199, 52181, 51330, 52814, 51108, 51674, 51073, 50446, 58373, 78876, 50986, 60779, 50970, 51380, 50947, 51400, 51140, 51056, 59235, 51709, 52131, 51484, 51997, 51199, 51229, 51073, 50454, 54182, 73119, 52012, 52794, 61108, 51291, 51098, 50943, 55338, 51314, 51408, 52392, 54489, 52071, 50422, 50960, 50943, 53937, 51637, 50426, 72589, 51064, 51077, 52131, 51576, 52391, 51576, 50434, 69432, 51098, 50925, 52162, 51481, 50438, 51444, 56458, 51273, 50914, 63812, 51627, 50446, 50960, 51134, 53937, 51961, 50450, 50970, 51174, 51064, 51162, 75113, 52131, 51172, 52391, 51576, 50458, 51444, 50836, 52162, 51142, 50461, 51207, 54060, 73934, 52034, 52659, 51377, 53167, 51709, 52554, 51709, 50756, 50291, 51961, 51590, 51073, 55493, 51312, 50415, 51078, 51423, 51076, 68033, 50986, 51797, 50998, 51203, 50929, 51337, 51461, 51100, 62967, 51642, 52181, 51481, 51891, 51642, 51334, 51896, 53032, 51025, 50427, 51032, 68535, 50986, 51377, 51461, 50914, 52181, 51852, 62967, 51709, 51891, 52034, 50443, 68583, 50445, 75646, 53141, 75554, 51032, 53639, 51311, 51159, 52659, 50943, 53167, 51642, 50756, 50291, 51709, 52554, 51481, 50454, 53195, 59747, 51136, 51376, 50458, 51078, 51008, 51076, 64175, 54544, 50937, 64752, 51141, 52157, 50943, 73541, 51243, 51390, 51336, 50416, 52758, 52069, 50422, 50960, 51199, 59235, 64396, 50970, 51423, 51064, 51413, 52131, 51330, 52162, 51108, 50434, 50960, 51484, 52157, 50897, 53937, 68112, 51504, 51241, 51140, 51191, 59235, 51314, 51924, 75626, 50960, 51312, 53937, 64533, 50970, 51775, 51064, 51562, 52162, 51645, 52131, 52378, 51893, 51073, 50458, 50960, 50925, 52157, 50897, 53937, 51254, 61108, 51204, 51098, 51241, 55338, 51314, 52004, 51013, 50421, 52969, 50924, 50422, 69432, 53937, 51679, 50426, 71658, 51064, 51043, 52391, 51576, 52131, 51709, 51893, 51073, 50429, 53141, 68686, 51444, 50854, 51098, 50925, 52162, 50972, 50437, 54544, 64740, 51725, 51077, 51461, 51162, 62967, 51878, 51924, 51013, 50446, 51207, 51419, 55338, 75589, 50986, 51466, 50998, 51253, 51461, 50914, 52344, 51108, 52181, 52378, 51707, 52378, 51390, 51013, 50451, 50929, 51400, 50455, 52758, 50952, 58700, 51077, 51140, 51351, 59235, 51637, 51334, 51358, 53032, 51991, 50422, 66860, 52344, 75360, 50970, 51109, 50947, 51775, 52131, 51380, 51997, 51199, 50434, 67395, 51140, 50925, 59235, 52718, 52028, 51141, 51705, 51241, 59543, 51419, 50446, 71311, 52344, 75589, 51136, 51242, 50947, 51177, 51997, 51709, 53154, 51709, 50454, 58373, 51377, 50458, 52028, 50897, 51705, 50925, 59543, 50972, 61108, 51189, 73964, 55338, 51878, 50416, 54890, 51244, 50422, 51246, 50914, 52162, 77008, 50970, 51124, 50929, 51178, 51098, 50889, 51707, 51328, 52391, 51328, 50434, 51207, 50840, 52162, 52896, 51725, 52407, 51246, 51267, 51461, 51159, 52162, 52056, 52131, 51709, 62967, 51314, 53937, 51576, 51256, 51290, 50439, 50960, 73580, 51444, 52460, 51246, 51337, 50986, 51101, 51493, 51159, 52344, 51806, 52181, 51709, 51707, 51806, 51209, 51013, 50451, 50998, 51242, 58700, 51446, 51140, 51241, 59235, 51314, 51229, 51364, 51154, 51080, 50419, 53429, 73489, 51131, 51003, 53476, 51965, 50426, 50986, 51310, 50970, 51417, 52131, 51576, 51997, 51753, 50428, 53429, 51472, 50434, 51131, 51003, 51140, 50925, 52344, 58151, 51461, 51241, 62967, 51627, 51229, 51472, 51301, 51447, 50439, 51725, 51446, 50446, 51131, 51267, 53476, 51961, 50450, 50986, 51267, 52131, 51645, 51997, 51852, 50451, 50970, 51238, 50458, 51131, 50855, 51140, 50942, 52344, 51051, 56216, 50952, 55929, 50914, 62967, 51709, 53937, 51330, 53167, 51709, 52391, 51330, 51707, 51709, 51229, 51013, 51426, 51449, 50415, 51725, 51364, 54799, 51364, 50422, 51207, 72100, 51246, 51481, 51136, 51177, 50929, 51111, 51140, 50914, 59235, 51447, 53476, 52263, 53167, 51314, 51707, 51878, 51891, 51878, 51390, 51336, 50434, 51207, 50857, 53429, 51646, 51504, 51048, 51461, 51056, 50439, 53141, 51218, 50446, 51131, 51134, 50449, 51334, 69556, 51136, 51056, 50970, 51346, 51140, 51159, 59235, 52460, 53476, 51466, 53167, 51738, 51707, 51738, 50456, 52758, 75574, 51725, 62923, 51251, 51748, 76572, 51472, 52157, 51056, 73541, 52062, 51256, 51472, 50415, 56267, 67553, 53429, 50879, 50422, 51504, 51183, 59235, 51108, 50423, 52969, 72270, 51246, 51797, 50960, 51121, 50970, 50918, 51064, 51738, 52162, 51576, 52131, 51852, 50434, 51246, 51109, 52157, 50925, 53937, 71113, 53271, 51127, 51140, 50914, 59235, 51878, 51256, 51472, 50446, 51504, 50914, 53937, 64533, 51246, 51481, 69432, 50970, 51446, 51064, 51413, 52162, 51172, 52131, 51481, 50454, 52157, 50925, 53141, 69085, 51504, 78663, 50878, 53937, 51174, 52758, 50833, 76572, 51448, 51261, 50943, 73541, 51243, 51256, 51073, 51794, 53588, 55625, 51591, 50422, 68986, 59235, 69790, 51246, 51309, 51317, 51047, 50970, 51077, 51064, 51562, 54136, 51709, 51707, 51709, 51334, 51291, 50434, 51207, 51109, 51261, 50897, 53937, 58151, 53271, 51189, 51140, 50943, 59235, 51878, 50446, 51207, 50943, 53937, 51884, 50450, 51246, 52048, 51317, 51203, 50970, 51116, 51064, 51194, 51140, 51110, 54136, 51709, 51707, 52188, 51408, 51073, 50458, 51461, 50925, 53937, 51254, 58700, 51141, 51140, 51056, 59235, 51314, 51229, 52392, 51299, 53849, 50422, 51131, 51253, 53476, 51679, 50426, 50986, 51233, 50970, 50918, 50947, 51025, 52131, 51108, 51997, 51753, 50434, 51131, 51380, 51140, 50925, 52344, 68112, 51725, 51562, 51461, 51056, 62967, 51878, 50446, 51131, 51267, 53476, 71320, 50986, 51484, 50970, 51111, 50947, 51400, 51997, 51576, 52131, 51484, 50458, 51461, 50925, 52344, 51210, 50460, 53032, 50822, 55625, 61243, 51165, 50932, 64752, 52378, 50960, 51221, 50970, 51178, 73964, 52162, 51484, 52131, 51283, 52391, 51576, 51408, 51048, 51107, 51330, 52758, 50995, 50415, 51064, 51111, 50425, 51504 ]

[ 0, 250, 2635, 8, 5679, 26709, 5175, 25771, 2214, 4246, 10, 6755, 12547, 6, 13305, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 3459, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 33215, 16739, 1171, 163, 6, 230, 10431, 6, 2060, 119, 406, 6, 3676, 1176, 406, 6, 8, 230, 10431, 119, 406, 4, 20, 1374, 6711, 16, 19448, 8, 15352, 30054, 6, 19, 10, 11602, 9, 15073, 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, 0 ]

[ 61791, 50799, 58748, 51148, 56258, 51300, 51324, 51551, 50417, 52745, 50824, 51086, 54226, 52435, 51072, 51040, 51454, 50423, 51440, 51072, 50877, 73708, 51929, 50993, 50965, 69464, 51957, 52952, 58748, 50896, 52745, 51033, 52027, 50824, 51944, 50860, 51857, 51009, 51324, 52297, 50303, 50940, 50956, 53531, 50310, 61870, 51808, 51300, 50973, 51300, 50444, 51944, 51029, 50989, 65027, 56194, 50896, 52745, 50896, 52027, 51958, 50298, 51800, 50303, 69796, 50914, 50799, 58748, 52512, 56258, 51870, 51324, 52195, 50417, 52745, 50824, 51086, 74983, 52435, 51066, 51040, 50980, 50423, 51440, 50993, 50877, 67270, 51929, 64452, 54241, 51944, 51407, 50989, 73018, 52745, 51237, 52027, 50824, 58748, 51054, 51857, 51009, 51086, 73453, 53177, 50291, 58833, 56194, 50824, 52745, 50824, 52027, 50824, 58748, 50824, 51378, 50824, 51086, 69382, 50824, 51324, 51237, 72191, 52435, 51072, 51660, 50824, 51929, 51072, 56922, 51009, 51957, 51029, 56470, 51080, 53278, 51314, 54165, 51244, 51912, 68708, 51566, 50916, 68678, 51072, 51360, 67330, 51917, 53213, 51917, 54381, 51912, 51973, 52435, 51159, 51660, 51072, 51929, 51072, 51040, 51312, 50916, 51072, 50965, 51072, 50427, 51917, 54684, 51957, 50936, 51912, 56788, 51917, 55276, 52027, 51159, 51944, 51072, 51773, 51056, 55677, 51009, 51533, 51552, 55080, 51314, 53654, 51080, 53361, 51314, 50956, 51312, 50989, 51072, 50906, 51312, 51197, 51009, 50440, 51772, 59503, 51772, 58332, 52027, 51109, 51944, 50824, 51773, 51072, 50956, 51380, 50989, 62398, 73774, 51912, 55370, 51533, 50936, 51772, 58150, 51366, 59426, 51256, 50961, 51547, 50930, 67548, 51072, 51929, 51072, 55243, 51300, 52745, 51055, 51374, 51141, 53278, 51148, 54165, 51080, 54008, 51080, 51674, 52035, 50308, 51072, 50965, 51735, 51315, 51300, 51086, 51048, 50419, 51547, 52801, 51547, 54675, 52745, 51048, 51660, 51072, 51929, 51072, 51086, 74669, 51072, 50965, 51072, 50430, 51366, 52359, 51374, 51030, 51547, 52125, 56194, 51009, 52435, 51109, 51944, 51072, 51440, 51072, 51640, 51204, 55080, 51080, 53654, 51080, 52684, 51314, 51378, 51009, 51040, 51199, 50989, 51072, 50877, 63758, 52435, 51290, 51944, 51072, 51440, 52035, 50305, 51157, 73066, 50877, 55273, 51440, 51014, 51640, 50813, 51547, 61539, 70143, 51808, 50950, 51602, 50810, 51674, 74711, 50821, 67548, 51551, 51440, 51029, 52361, 50975, 56090, 51009, 51349, 51009, 55080, 51244, 53278, 51145, 52684, 51314, 51229, 52035, 50308, 63831, 51029, 51028, 50975, 51279, 57214, 51674, 52801, 52043, 50802, 51547, 50975, 50968, 55396, 52361, 67797, 52030, 51366, 53263, 51440, 50950, 51547, 65066, 52877, 51944, 51300, 51808, 51059, 52603, 50975, 56090, 51009, 51349, 51009, 53953, 51080, 53654, 51148, 54008, 51314, 50989, 52512, 50973, 51059, 51001, 50975, 51279, 51009, 50442, 51674, 50952, 50447, 53335, 50802, 51912, 51116, 51114, 55680, 52603, 62306, 52325, 53008, 54678, 51808, 50803, 51912, 79977, 50803, 78320, 51073, 51929, 51072, 54632, 51009, 51602, 51029, 53953, 51314, 54165, 51145, 54008, 51314, 50956, 51159, 50965, 51072, 51176, 60625, 52027, 51056, 51929, 51072, 51808, 61829, 51253, 50965, 51454, 50973, 51056, 50432, 51602, 50866, 51256, 58167, 51547, 54496, 51256, 50895, 51366, 51235, 50438, 52435, 50943, 51660, 51056, 51929, 51072, 56922, 52195, 51957, 51029, 56470, 51244, 53278, 51127, 54165, 51244, 51040, 72272, 51253, 50965, 51566, 51360, 51291, 50450, 52435, 50874, 51660, 51072, 51929, 75465, 50912, 50916, 51072, 50965, 52325, 51440, 50803, 51602, 50987, 51547, 61539, 52937, 51808, 63550, 50803, 65293, 73471, 51072, 56194, 51009, 51944, 51072, 52361, 51072, 51640, 51552, 55080, 51445, 53278, 51445, 52684, 51243, 51229, 61539, 51072, 51378, 51009, 50989, 51072, 51028, 51072, 50417, 51229, 53213, 51547, 52038, 51944, 51072, 51440, 51806, 52361, 50824, 50989, 77402, 53697, 51028, 53566, 51957, 57659, 51917, 54496, 51640, 66248, 51366, 52952, 51660, 51072, 51440, 51072, 52043, 51290, 56194, 51009, 51640, 51072, 51366, 66545, 51072, 50877, 51072, 50968, 51159, 51378, 68071, 51366, 61443, 51917, 52175, 51660, 51290, 51440, 51055, 52043, 51157, 51957, 51073, 50916, 71004, 51157, 50968, 51267, 50453, 51664, 52884, 51451, 57895, 51917, 59616, 51451, 50817, 51912, 50975, 50799, 52745, 51566, 51660, 50824, 51944, 50824, 58748, 51009, 51857, 51379, 56470, 51449, 53278, 51148, 53654, 51449, 51086, 51048, 50916, 53531, 50310, 51958, 50291, 51009, 50423, 51857, 59101, 52745, 51072, 51086, 73708, 51660, 51286, 50916, 61120, 51944, 76280, 50987, 50433, 56258, 52674, 51808, 51407, 50973, 73018, 51944, 51454, 58748, 51454, 52745, 51566, 52027, 51454, 53953, 51080, 50989, 51290, 51324, 51290, 51086, 61829, 77225, 52027, 50824, 58748, 50824, 52745, 50824, 51944, 69382, 50824, 51324, 50824, 51086, 50824, 50989, 50824, 77631, 51072, 51660, 50824, 51929, 51072, 56922, 51009, 51957, 51029, 56470, 51145, 53278, 51336, 54165, 51145, 51912, 50811, 51040, 51566, 50916, 68678, 51072, 51360, 51009, 53541, 51244, 52033, 51244, 52255, 51244, 50417, 51917, 52244, 51917, 54381, 51912, 51973, 52435, 51159, 51660, 51072, 51929, 51072, 51917, 52035, 50305, 51312, 50916, 51072, 50965, 64414, 51957, 50860, 51912, 54496, 51917, 55276, 52027, 51159, 51944, 51072, 51773, 51056, 55677, 51009, 51533, 51029, 55080, 51148, 53654, 51356, 53361, 51145, 50956, 51312, 50989, 51072, 50906, 51312, 51197, 51009, 53100, 51244, 52332, 51244, 51863, 51244, 50441, 51772, 52284, 51772, 50823, 51495, 69830, 52027, 51109, 51944, 50824, 51773, 51072, 51268, 69796, 51380, 50989, 62398, 64531, 51533, 50937, 51772, 50803, 51193, 67238, 51547, 50803, 67548, 51072, 51929, 51072, 55243, 51300, 52745, 51055, 51374, 51029, 53278, 52644, 54165, 51127, 54008, 51244, 51674, 60680, 61679, 51072, 50965, 51735, 51315, 51300, 51086, 51048, 52033, 53478, 52255, 51244, 52187, 51244, 50417, 51547, 53213, 51547, 50811, 51089, 51189, 50423, 51547, 51973, 52745, 51048, 51660, 51072, 51929, 51072, 51256, 50817, 51281, 51741, 50303, 74669, 51072, 50965, 51072, 50427, 51547, 54179, 51374, 50860, 51547, 60680, 57815, 51547, 55276, 56194, 51009, 52435, 51109, 51944, 51072, 51440, 51072, 51132, 50839, 51640, 51496, 55080, 51127, 52684, 51148, 51378, 51009, 51040, 51199, 50989, 51072, 50877, 51072, 53100, 51244, 51656, 79098, 51089, 70269, 52435, 51290, 51944, 51072, 51440, 50860, 51023, 51109, 51040, 51157, 73066, 50877, 55273, 51440, 51014, 51640, 50811, 51547, 50811, 51385, 59389, 71208, 51674, 52937, 51808, 50950, 51602, 67046, 50821, 67548, 51551, 51440, 51029, 52361, 50975, 56090, 51009, 51349, 51300, 55080, 51148, 52684, 51047, 51229, 52035, 50308, 63831, 51029, 51028, 50975, 51279, 51009, 53100, 51244, 51656, 51244, 50417, 51089, 73967, 51674, 50803, 51023, 51043, 50423, 52043, 50802, 51547, 50802, 51403, 51110, 50968, 55396, 52361, 50802, 51366, 51138, 51023, 78054, 52030, 51089, 73187, 51440, 50950, 51374, 50930, 51547, 50860, 51023, 57069, 52877, 51944, 51300, 51808, 51059, 52603, 50975, 56090, 51009, 51349, 51029, 53953, 51103, 53654, 51336, 54008, 51145, 51268, 51962, 50310, 52512, 50973, 51059, 51001, 50975, 51279, 51009, 52402, 51244, 52332, 51244, 52187, 51244, 50441, 51674, 50860, 51208, 51194, 50444, 51268, 51203, 50446, 51912, 63058, 53335, 50802, 52165, 51233, 51114 ]

[ 0, 250, 2635, 12, 20764, 5175, 25771, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 18558, 6, 3459, 8669, 6, 21979, 9590, 6, 38668, 22052, 6, 8, 5921, 3343, 1290, 642, 5255, 4, 20, 15352, 30054, 15229, 11, 211, 3694, 7630, 6568, 10, 19448, 8, 5679, 26709, 5466, 6, 19, 10, 881, 21263, 9, 5, 33215, 16739, 230, 10431, 119, 6, 211, 6, 83, 6, 163, 119, 406, 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 ]

[ 57128, 50799, 59440, 50991, 52089, 51160, 54027, 51645, 50438, 54445, 51112, 51584, 51500, 52155, 51172, 72671, 52720, 52582, 52204, 51701, 51801, 51273, 51237, 54308, 51013, 51902, 50896, 52202, 51003, 51547, 50886, 51229, 50857, 51590, 50864, 51390, 54355, 50840, 56443, 50370, 55550, 54657, 50998, 50820, 51078, 50834, 50947, 50820, 60165, 50818, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 58412, 51559, 52273, 60455, 56295, 51547, 50813, 51229, 51297, 53076, 53352, 56330, 56685, 59197, 51216, 50896, 53444, 52195, 52170, 52195, 52671, 51417, 58301, 50828, 51366, 50857, 51547, 50857, 51229, 50813, 51934, 53309, 50840, 67183, 64428, 52134, 53666, 58467, 50998, 50839, 51078, 50820, 50947, 50834, 79916, 50846, 51366, 50904, 51547, 50941, 51229, 50886, 51934, 61742, 50862, 56370, 57694, 56524, 51366, 50886, 51547, 50904, 51229, 50813, 53076, 54742, 56330, 60960, 61389, 51273, 50896, 62086, 50818, 51322, 50813, 51366, 50813, 51547, 50857, 51229, 50813, 51590, 54355, 53352, 51421, 52273, 50366, 51398, 51297, 53012, 54857, 57522, 50998, 50839, 51078, 50839, 50947, 50834, 51547, 50886, 51229, 50867, 51590, 50867, 51390, 61742, 51559, 53716, 59317, 54417, 51547, 50867, 51229, 50857, 51590, 50862, 51390, 50813, 53076, 53352, 52273, 60960, 60258, 51216, 50896, 54027, 50809, 51322, 50867, 51547, 50886, 51229, 50867, 51934, 55503, 52873, 53616, 50364, 51398, 52134, 54287, 60550, 52155, 50887, 50998, 50820, 51078, 50820, 50947, 50829, 51322, 50886, 51547, 50886, 51229, 50857, 51934, 58412, 50862, 67183, 58476, 50864, 52215, 60960, 50971, 54079, 50896, 52202, 50830, 51547, 50904, 51229, 50867, 51590, 50904, 51390, 55642, 50840, 67183, 65094, 51851, 53321, 54202, 50998, 50820, 51078, 50834, 50947, 50829, 51547, 50904, 51229, 50813, 51590, 50886, 51390, 74409, 50862, 67183, 59317, 57559, 51547, 50813, 51229, 50813, 51590, 50886, 51390, 55924, 52273, 60960, 59197, 51216, 50896, 52089, 50821, 52974, 53558, 54345, 52304, 53716, 65094, 52134, 53666, 58255, 51584, 50882, 52792, 50882, 50998, 50834, 51078, 50820, 50947, 50829, 51547, 50886, 51229, 50867, 51590, 50941, 51390, 72614, 53340, 52273, 59317, 55643, 51547, 50904, 51229, 50886, 51590, 51000, 51390, 58652, 56330, 60960, 64212, 51273, 51016, 51902, 51033, 54932, 70146, 52217, 52273, 65094, 51851, 53012, 54857, 76373, 50998, 50820, 51078, 50834, 50947, 50829, 51547, 50864, 51229, 50886, 51590, 50941, 51390, 79041, 51559, 52273, 58476, 57091, 51547, 50886, 51229, 50886, 51590, 50941, 51390, 55651, 53716, 63711, 71841, 51216, 51090, 54027, 52773, 50840, 67183, 50366, 51398, 51851, 54287, 55293, 52155, 50800, 50998, 50834, 51078, 62222, 50835, 51547, 50857, 51229, 50867, 51590, 50886, 51390, 79041, 50862, 67183, 58476, 56551, 51547, 50864, 51229, 50886, 51590, 51000, 51390, 55651, 53291, 62320, 51297, 72671, 51748, 52582, 51922, 51701, 51445, 51273, 50896, 51584, 51183, 51902, 51183, 51612, 51103, 52974, 51047, 52202, 53672, 50840, 56443, 65094, 51297, 53321, 62910, 52202, 50859, 50998, 50820, 51078, 50820, 50947, 50834, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 79041, 51559, 52273, 59317, 56037, 52155, 50887, 51547, 50886, 51229, 50886, 51590, 50971, 51390, 55619, 56330, 62320, 57203, 51216, 50896, 52202, 52773, 50840, 67183, 50364, 51398, 51851, 53666, 58255, 52202, 50840, 50998, 50820, 51078, 50820, 50947, 50834, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 79041, 50862, 56370, 57694, 56524, 52155, 50809, 51547, 50886, 51229, 50886, 51590, 50971, 51390, 59392, 56330, 63711, 52134, 68005, 50896, 52089, 51189, 51584, 51189, 51902, 51189, 51612, 51189, 52202, 53672, 51559, 52273, 50366, 51398, 51851, 53012, 54857, 62232, 52671, 50840, 50998, 50839, 51078, 50820, 50947, 50820, 51547, 50886, 51229, 50867, 51590, 50971, 51390, 50370, 51822, 51559, 53716, 59317, 57091, 51596, 50800, 51547, 50886, 51229, 50867, 51590, 50904, 51390, 55619, 52273, 60960, 53996, 51216, 50896, 52671, 52773, 52873, 53616, 50366, 51398, 50941, 54287, 55293, 52155, 50836, 50998, 50839, 51078, 50834, 50947, 50834, 51547, 51000, 51229, 50886, 51590, 50941, 51390, 50371, 51822, 50862, 67183, 57694, 54655, 51547, 50971, 51229, 50886, 51590, 50904, 51390, 55785, 63711, 51319, 50799, 52091, 53678, 51678, 51490, 52252, 52212, 51493, 50896, 52182, 52423, 54218, 52304, 53716, 65094, 51126, 53321, 58333, 55699, 50808, 51555, 50940, 51902, 50940, 50998, 50820, 50929, 50820, 51076, 50835, 51067, 50835, 55839, 50886, 51366, 50867, 51209, 50886, 51590, 51000, 51390, 79041, 50862, 67183, 59317, 55754, 51366, 50857, 51209, 50867, 51590, 50971, 51390, 55619, 52273, 60960, 52514, 50426, 51668, 51016, 54308, 50833, 51902, 50812, 51612, 50859, 50998, 50820, 50929, 50837, 51076, 50837, 51067, 50835, 62086, 53704, 54345, 52304, 53716, 50364, 51398, 51319, 53666, 67494, 52123, 50800, 51612, 50952, 52974, 50858, 50998, 50820, 50929, 50820, 51076, 50829, 51067, 50835, 60165, 50884, 51366, 50886, 51209, 50886, 51590, 51126, 51390, 50370, 51822, 53340, 52273, 58476, 56524, 51366, 50867, 51209, 50886, 51590, 51126, 51390, 55106, 56330, 61402, 52134, 50438, 51701, 52212, 51216, 51090, 53444, 50948, 52170, 50924, 52075, 50940, 58301, 54405, 54472, 51421, 52273, 50364, 51398, 51319, 53012, 54857, 60226, 50998, 73942, 50829, 50947, 50835, 51316, 50886, 51366, 50864, 51209, 50886, 51229, 50867, 51934, 72614, 51559, 52273, 58476, 54417, 51366, 50867, 51209, 50886, 51229, 50813, 51934, 55924, 53716, 62635, 60678, 52419, 50896, 55699, 50795, 51555, 51158, 52182, 59597, 50840, 67183, 50364, 51398, 51297, 54287, 60272, 54308, 50879, 51902, 50879, 52202, 50849, 50998, 70169, 63134, 50867, 51316, 50867, 51366, 50867, 51209, 50864, 51229, 50857, 51934, 58412, 50862, 67183, 57694, 57187, 51366, 50867, 51209, 50904, 51229, 50857, 51934, 53352, 53291, 63711, 51851, 50799, 52091, 54270, 51678, 53201, 52252, 52720, 51493, 51016, 52041, 50889, 52075, 50889, 51789, 58307, 50840, 56443, 50363, 51398, 51126, 53321, 55650, 50998, 73942, 50835, 51076, 50837, 51067, 50837, 51366, 50886, 51209, 50886, 51590, 50971, 51390, 72614, 51559, 52273, 58476, 56037, 51366, 50867, 51209, 50857, 51590, 50904, 51390, 55619, 56330, 62320, 54689, 51668, 50896, 52089, 51362, 52974, 51191, 52083, 51241, 52006, 51071, 52304, 53716, 65094, 54060, 53666, 55487, 50998, 73942, 50835, 51076, 50837, 51067, 50835, 51366, 50867, 51209, 50867, 51590, 50941, 51390, 50371, 51822, 50862, 56370, 57694, 57039, 51366, 50857, 51209, 50857, 51590, 50886, 51390, 59606, 56330, 63711, 54927, 51493, 57231, 51559, 52273, 50364, 51398, 51297, 53012, 52510, 51555, 51014, 51565, 50836, 50998, 70169, 50834, 51076, 50829, 51067, 50837, 51366, 50857, 51209, 50857, 51590, 79041, 51559, 53716, 59317, 57091, 51366, 50867, 51209, 50857, 51590, 50867, 51390, 74068, 52273, 62320, 71841, 51668, 50896, 52089, 50882, 52083, 52773, 54345, 52207, 53616, 51851, 54287, 71736, 52123, 51033, 51596, 50836, 50998, 50834, 50929, 50820, 51076, 50835, 51067, 50835, 51366, 50857, 51209, 50813, 51590, 50886, 51390, 50369, 51822, 50862, 67183, 58476, 57187, 51366, 50857, 51209, 50857, 51590, 50867, 51390, 60348, 61402, 51297, 56098, 51016, 52041, 50921, 51789, 53097, 54218, 52304, 53716, 50363, 51398, 52514, 53321, 58333, 51555, 50882 ]

[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 765, 2125, 7630, 6568, 41, 9066, 8, 3722, 5466, 4, 27901, 10, 11739, 9, 24896, 6, 486, 118, 9877, 483, 6, 6755, 12547, 6, 8, 5730, 2342, 4467, 6, 24, 30853, 11, 230, 3694, 23, 41, 12447, 1001, 20889, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 3222, 5785, 9, 40286, 6, 217, 230, 6, 2060, 6, 230, 119, 6, 274, 401, 6, 8, 230, 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 ]

[ 56236, 51201, 51492, 51304, 51492, 50796, 50799, 51905, 51492, 50796, 70564, 51492, 51304, 51492, 50796, 70526, 51492, 51629, 51492, 51743, 51492, 53718, 51492, 50796, 63441, 51492, 51394, 51492, 51615, 51492, 54307, 51492, 50796, 68051, 51492, 51182, 51492, 52133, 51492, 52626, 51492, 51147, 51492, 50796, 68051, 51492, 51201, 51492, 51629, 51492, 52133, 51492, 52626, 51492, 50999, 51492, 50799, 53599, 51492, 50799, 51794, 51036, 51182, 51492, 53100, 51036, 53976, 51036, 51147, 51492, 50799, 52143, 51492, 51426, 51036, 52402, 51036, 54339, 51036, 70526, 51492, 51201, 51492, 51304, 51492, 51743, 51492, 53718, 51492, 51399, 51492, 50796, 61627, 51887, 51036, 54720, 51036, 52036, 51036, 63441, 50918, 51182, 78670, 50918, 54307, 56039, 53599, 51492, 51375, 51492, 51629, 51492, 52255, 51492, 56726, 51492, 50796, 61627, 52143, 51492, 51088, 51492, 51182, 51492, 51615, 51492, 54307, 51492, 50796, 50796, 50799, 70284, 51036, 51951, 51605, 50456, 52249, 50795, 50799, 50691, 50295, 51036, 52064, 51036, 50799, 50691, 50290, 76175, 54236, 52382, 50799, 50691, 50292, 78140, 54236, 51798, 51951, 51923, 52249, 50795, 50799, 70284, 51036, 51951, 51605, 50456, 54236, 50795, 50799, 50691, 50295, 51036, 52780, 51036, 50799, 50691, 50290, 51036, 50799, 50691, 50292, 51036, 50435, 57496, 51492, 50799, 70284, 51036, 52780, 53520, 50799, 50691, 50295, 51036, 52813, 77481, 54313, 50795, 54113, 51923, 52682, 50795, 54236, 50795, 50799, 50691, 50290, 51036, 54313, 51036, 56929, 51036, 50799, 50691, 50292, 51036, 52682, 50918, 56212, 76175, 54313, 50918, 50799, 70284, 51036, 53992, 51036, 52780, 51036, 50799, 50691, 50295, 51036, 52682, 50918, 51951, 56039, 54313, 50918, 54236, 50918, 50799, 50691, 50290, 51036, 53928, 51036, 52249, 51492, 55667, 51036, 50799, 50691, 50292, 51036, 52064, 51036, 53664, 51036, 50799, 56997, 55728, 55324, 52296, 63648, 51620, 56997, 52765, 55324, 51628, 63648, 52262, 56997, 51724, 55324, 52831, 63648, 51820, 56997, 52513, 55324, 51757, 63648, 52809, 56997, 51754, 55324, 52567, 63648, 50800, 50799, 56019, 50795, 63648, 53504, 55299, 51835, 55324, 52296, 55299, 51620, 56019, 50800, 63648, 52765, 55299, 51628, 55299, 52262, 56019, 50800, 55324, 51820, 56019, 50800, 55324, 52809, 56019, 50800, 55324, 50800, 57731, 71345, 51620, 69336, 52765, 71345, 51628, 69336, 52262, 69336, 51724, 63648, 52831, 69336, 51820, 55261, 52513, 63648, 51757, 69336, 52809, 55261, 51754, 59422, 52567, 59422, 50800, 50799, 73809, 50795, 55261, 51835, 55261, 52296, 71345, 51620, 73809, 51628, 71345, 52262, 50733, 50338, 50800, 56019, 51820, 56019, 50800, 71345, 52809, 56019, 50800, 50733, 50338, 51754, 55299, 50800, 50799, 56997, 55728, 55324, 52296, 63648, 51620, 56997, 52765, 55324, 51628, 63648, 52262, 56997, 51724, 55324, 52831, 63648, 51820, 56997, 52513, 55324, 51757, 63648, 52809, 56997, 51754, 55324, 52567, 63648, 50800, 50799, 56019, 50795, 63648, 53504, 55299, 51835, 55324, 52296, 55299, 51620, 56019, 50800, 63648, 51736, 55299, 52262, 56019, 50800, 55324, 51820, 56019, 50800, 55324, 52809, 56019, 50800, 55324, 50800, 57731, 71345, 51620, 69336, 52765, 71345, 51628, 69336, 52262, 69336, 51724, 63648, 52831, 69336, 51820, 55261, 52513, 63648, 51757, 69336, 52809, 55261, 51754, 59422, 52567, 59422, 50800, 50799, 73809, 50795, 55261, 51835, 55261, 52296, 71345, 51620, 73809, 51628, 71345, 52262, 56019, 50800, 50733, 50338, 51724, 71345, 52831, 63648, 51820, 56019, 52513, 50733, 50338, 51757, 55261, 52809, 56019, 52567, 50733, 50338, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 10, 2842, 9, 3152, 6, 4246, 10, 3152, 6757, 6, 16224, 1097, 483, 6, 21979, 8669, 6, 6755, 12547, 6, 8, 3459, 9590, 6, 70, 567, 561, 7, 1045, 10, 8520, 8, 5679, 26709, 5466, 6, 150, 67, 7630, 14805, 10, 1472, 9, 11098, 8, 26545, 6, 25, 24, 26658, 23, 41, 178, 5285, 20889, 11, 5, 762, 9, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 10, 33215, 13931, 14, 25935, 1626, 227, 272, 8, 230, 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 ]

[ 57128, 79822, 51151, 53460, 51801, 52693, 51801, 52684, 51243, 50669, 50352, 51306, 50415, 70243, 51306, 50416, 62688, 51306, 50417, 54753, 51258, 50418, 52836, 51258, 50419, 52463, 57236, 51829, 51129, 50421, 52463, 78893, 52836, 64024, 54753, 78572, 51829, 70297, 52463, 53896, 50669, 50352, 51306, 50427, 70243, 51306, 50428, 62688, 51306, 50429, 54753, 51258, 50430, 52836, 73501, 52463, 57617, 51829, 78694, 52463, 79302, 52836, 66007, 54753, 78573, 51829, 66643, 52463, 54203, 50669, 50352, 51004, 50439, 70243, 50982, 50440, 62688, 65649, 54753, 69949, 52836, 68211, 52463, 54485, 51829, 64734, 52463, 60966, 52836, 55686, 54753, 71483, 51829, 61244, 52463, 53430, 50669, 50352, 58517, 70243, 66730, 62688, 54781, 54753, 59699, 52836, 59713, 52463, 53217, 51829, 57077, 52463, 57110, 52836, 54026, 54753, 58841, 51829, 57995, 52463, 50837, 50799, 51211, 51151, 52507, 51243, 50669, 50352, 64565, 70243, 50891, 50416, 62688, 57226, 54753, 66478, 52836, 62503, 52463, 53405, 51829, 59109, 52463, 58409, 52836, 54604, 54753, 60548, 51829, 59045, 52463, 52966, 50669, 50352, 78342, 70243, 50982, 50428, 62688, 58832, 54753, 62618, 52836, 66284, 52463, 53814, 51829, 62713, 52463, 63795, 52836, 55813, 54753, 66640, 51829, 60622, 52463, 54114, 50669, 50352, 51129, 50439, 70243, 51129, 50440, 62688, 65649, 54753, 71096, 52836, 68211, 52463, 53858, 51829, 63157, 52463, 60966, 52836, 55721, 54753, 63612, 51829, 60145, 52463, 53003, 50669, 50352, 78878, 70243, 50908, 50452, 62688, 56597, 54753, 60535, 52836, 61021, 52463, 53007, 51829, 59044, 52463, 57110, 52836, 54026, 54753, 59025, 51829, 56603, 52463, 50835, 79822, 51047, 52684, 51243, 50669, 50352, 57392, 70243, 76965, 62688, 56231, 54753, 59527, 52836, 61732, 52463, 52944, 51829, 58092, 52463, 55983, 52836, 53109, 54753, 59768, 51829, 58964, 52463, 52670, 50669, 50352, 61033, 70243, 74031, 62688, 57265, 54753, 58027, 52836, 61193, 52463, 53196, 51829, 60050, 52463, 58662, 52836, 54483, 54753, 59131, 51829, 57892, 52463, 52904, 51634, 51047, 50669, 50352, 64481, 70243, 50908, 50440, 62688, 57502, 54753, 61118, 52836, 65672, 52463, 53384, 51829, 59892, 52463, 60402, 52836, 55721, 54753, 63612, 51829, 57855, 52463, 53166, 50669, 50352, 79949, 70243, 50982, 50452, 62688, 60491, 54753, 67827, 52836, 64360, 52463, 54038, 51829, 63367, 52463, 67076, 52836, 56232, 54753, 63940, 51829, 59546, 52463, 50928, 50799, 51211, 51151, 52507, 51243, 50669, 50352, 57610, 70243, 76965, 62688, 56231, 54753, 59527, 52836, 61732, 52463, 53070, 51829, 60916, 52463, 59136, 52836, 53991, 54753, 59825, 51829, 60931, 52463, 52917, 50669, 50352, 75717, 70243, 79499, 62688, 58832, 54753, 62618, 52836, 62000, 52463, 53670, 51829, 62713, 52463, 63795, 52836, 55813, 54753, 66640, 51829, 60622, 52463, 54114, 53679, 51080, 50669, 50352, 57477, 70243, 69864, 62688, 55788, 54753, 59144, 52836, 59692, 52463, 53114, 52832, 50893, 51829, 59843, 52463, 57785, 52836, 54284, 54753, 62749, 51829, 57989, 52463, 52805, 51831, 50893, 50669, 50352, 78878, 70243, 50908, 50452, 62688, 58207, 54753, 60202, 52836, 61634, 52463, 53553, 51652, 50893, 51829, 58908, 52463, 61034, 52836, 56047, 54753, 63414, 51829, 56772, 52463, 50908, 50799, 51831, 51227, 53460, 53201, 52693, 57820, 52684, 57820, 53465, 53486, 51504, 58590, 52919, 50669, 50352, 74663, 70243, 51004, 50416, 62688, 77298, 54753, 68419, 52836, 73954, 52463, 54183, 51131, 54879, 50914, 51829, 62589, 52463, 69917, 52836, 58362, 54753, 75730, 51829, 67726, 52463, 53896, 50986, 57750, 62138, 51131, 54879, 53912, 50986, 57750, 61726, 52832, 50893, 51131, 54879, 55082, 51831, 50948, 50986, 57750, 61510, 51652, 50893, 51131, 54879, 50889, 75799, 50858, 50986, 57750, 51016, 50417, 51652, 54718, 51831, 50893, 51131, 54879, 53466, 51652, 51235, 53278, 51922, 52507, 51922, 51725, 63508, 51151, 50432, 51574, 55077, 53912, 51207, 57750, 61726, 51574, 55077, 55441, 51207, 57750, 61510, 51652, 50858, 51574, 55077, 50914, 50459, 51667, 50893, 61108, 57750, 51016, 50417, 51721, 51235, 50420, 51574, 55077, 53466, 51643, 50893, 52307, 50918, 52693, 51922, 52684, 51922, 51504, 58736, 51422, 50432, 51721, 51016, 51131, 56011, 53912, 50986, 57750, 51343, 50444, 51667, 51175, 51131, 54879, 64712, 52795, 50918, 51725, 51867, 50289, 51047, 50456, 51504, 58451, 50849, 50799, 52832, 50893, 50986, 57045, 67039, 52457, 51016, 51131, 57847, 53466, 52795, 51127, 54522, 51922, 52583, 51922, 52693, 51922, 53271, 58590, 57173, 51831, 51175, 51504, 58338, 51538, 50438, 50960, 57045, 51356, 50444, 51504, 55257, 55082, 53602, 51448, 50960, 69964, 51356, 50456, 51504, 55257, 51141, 61894, 57045, 67039, 51831, 50858, 51504, 58338, 59573, 51652, 58292, 56035, 51922, 53460, 51922, 53278, 51922, 52012, 60925, 51151, 50429, 51652, 51290, 50432, 51574, 56467, 55965, 50986, 57750, 51356, 50441, 51667, 62961, 51652, 53885, 51831, 50895, 51574, 56467, 52596, 50986, 55969, 53586, 51574, 55077, 50889, 50799, 51831, 50893, 50986, 57750, 67039, 51667, 50940, 51574, 55077, 53466, 51667, 50858, 52583, 51922, 52693, 51922, 52684, 51922, 53465, 51922, 51444, 58590, 51452, 50429, 51652, 54154, 51831, 51173, 51504, 56011, 55965, 50986, 57750, 61726, 51504, 56011, 64712, 50986, 58310, 51047, 50456, 51504, 57076, 50889, 50799, 51831, 50893, 50986, 55792, 67039, 52457, 51290, 50986, 57076, 52483, 52583, 51922, 52507, 53201, 53361, 51922, 51444, 77792, 51151, 50432, 52832, 50940, 51207, 57046, 53912, 52832, 50890, 50960, 60014, 51016, 50441, 52832, 54651, 51207, 57046, 50889, 50446, 52832, 57322, 51246, 55969, 61510, 51207, 57046, 50914, 50799, 52457, 50948, 50960, 60014, 67039, 52770, 51290, 51207, 57046, 52483, 53460, 53201, 52693, 51922, 51725, 57769, 50893, 50669, 50352, 78342, 70243, 79499, 62688, 60481, 54753, 65973, 52836, 66284, 52463, 53814, 52457, 50940, 51504, 57076, 51103, 51829, 60002, 52463, 59383, 52836, 55799, 54753, 60591, 51829, 57892, 52463, 52904, 52832, 50858, 51207, 57750, 51356, 50669, 50352, 62889, 70243, 50928, 50440, 62688, 60895, 55066, 50895, 54753, 72536, 52836, 65454, 52463, 53858, 52457, 50948, 51504, 50892, 51829, 59892, 52463, 60402, 52836, 55721, 54753, 60852, 51829, 60145, 52463, 53003, 51725, 57769, 50901, 50669, 50352, 65392, 70243, 70738, 62688, 56782, 54753, 60535, 52836, 61021, 52463, 53007, 51504, 57076, 51189, 51829, 59044, 52463, 57110, 52836, 54026, 54753, 59025, 51829, 56834, 52463, 50837, 61108, 57750, 51016, 50669, 50352, 55376, 70243, 63749, 62688, 55926, 54753, 60941, 52836, 63180, 52463, 53227, 51504, 50892, 51829, 61266, 52463, 58235, 52836, 54446, 54753, 59094, 51829, 57074, 52463, 52639, 53278, 51922, 51725, 57769, 50845, 50669, 50352, 58815, 70243, 68564, 62688, 54956, 54753, 59508, 52836, 59651, 52463, 53063, 51574, 56467, 51077, 51829, 57107, 52463, 56516, 52836, 54288, 54753, 59370, 51829, 57405, 52463, 52621, 50986, 57750, 51356, 50669, 50352, 58751, 70243, 69864, 62688, 54905, 54753, 59721, 52836, 59692, 52463, 53114, 51574, 50892, 51829, 57013, 52463, 56453, 52836, 53528, 54753, 62749, 51829, 58510, 52463, 52763, 50986, 55969, 50845, 50669, 50352, 69232, 70243, 69909, 62688, 56782, 54753, 58686, 52836, 61021, 52463, 53217, 52832, 50893, 51574, 56467, 50889, 51829, 57077, 52463, 57110, 52836 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 15855, 15229, 4246, 13305, 6, 38668, 11212, 6, 38668, 2236, 6, 8, 18558, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 2351, 10, 15352, 30054, 8, 2829, 2933, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 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 ]

[ 57448, 57448, 50951, 51260, 50280, 52845, 50292, 50995, 50421, 50999, 53591, 50951, 52580, 72097, 51026, 52026, 50304, 68186, 50995, 50430, 50951, 54221, 50999, 56149, 50951, 54123, 51026, 62447, 65377, 51741, 50332, 59124, 51026, 63085, 76371, 80082, 51097, 56807, 51519, 50280, 51741, 50292, 50889, 50421, 50999, 52296, 50951, 51620, 51114, 67027, 65065, 64291, 51013, 50430, 50951, 52559, 50999, 53263, 50951, 52599, 51026, 65065, 64291, 66950, 59731, 51026, 60045, 60817, 58835, 51003, 55331, 51568, 50287, 52019, 50299, 51003, 50421, 50968, 55266, 50902, 53450, 70806, 51026, 51741, 50303, 61849, 60138, 50943, 50430, 50902, 53911, 50968, 56529, 50902, 53415, 50973, 51060, 51026, 51734, 50303, 62649, 60241, 53218, 50861, 51158, 60027, 51158, 51026, 51800, 50303, 64815, 61581, 63505, 50973, 50937, 54960, 51712, 50328, 51514, 50280, 51517, 50292, 51003, 50421, 50902, 51712, 50330, 53172, 50968, 51962, 50332, 52434, 50299, 66953, 72272, 60307, 50999, 51644, 50337, 54233, 51026, 60045, 60817, 73024, 51047, 51487, 66336, 51026, 60045, 60817, 50889, 56807, 51519, 50280, 51741, 50292, 50889, 50421, 50999, 52296, 50951, 51620, 51114, 67027, 69970, 65788, 51013, 50430, 50951, 52559, 50999, 53263, 50951, 52599, 51026, 65065, 64291, 50807, 51430, 59731, 51026, 60045, 60817, 51608, 50328, 51003, 56807, 51568, 50280, 51517, 50292, 51003, 50421, 50999, 54252, 50951, 53450, 74251, 51026, 66953, 72272, 51003, 50430, 50951, 53513, 50999, 55167, 50951, 52729, 51026, 63682, 68184, 74335, 57197, 51026, 60045, 60817, 58835, 50915, 55331, 51519, 50287, 51807, 50299, 50807, 50421, 50968, 52296, 50902, 51620, 51028, 67027, 51608, 50303, 62525, 59428, 51016, 50430, 50902, 52559, 50968, 53263, 50902, 52841, 50973, 51158, 51026, 51800, 50303, 64815, 61581, 53218, 50861, 51060, 60027, 51111, 51026, 51807, 50303, 64763, 59782, 55069, 50973, 51058, 57448, 50876, 63682, 68186, 50915, 50421, 50624, 50426, 50951, 51517, 50332, 51619, 50299, 50995, 50428, 50624, 50436, 50623, 62275, 78172, 52019, 50328, 50915, 50443, 50623, 50450, 50619, 57448, 54985, 50981, 51667, 50981, 52172, 50981, 56293, 51741, 50289, 52019, 50301, 58421, 52019, 50325, 58299, 54985, 51337, 51667, 51337, 52172, 51337, 56293, 51337, 51279, 51172, 51027, 51363, 69541, 50999, 51363, 50435, 54985, 50822, 51667, 50822, 52172, 50822, 56293, 50822, 51279, 50827, 51027, 50822, 57472, 50999, 52691, 54985, 51310, 51667, 51310, 52172, 51310, 56293, 51310, 51279, 51477, 51027, 51115, 50877, 51477, 50999, 51115, 50456, 53863, 50959, 51652, 50959, 51979, 50959, 55291, 50959, 51214, 50851, 51026, 50844, 58219, 50951, 56569, 53407, 50886, 51831, 50886, 51978, 50886, 54833, 51764, 50285, 50851, 72753, 58529, 58398, 79922, 50981, 52376, 50981, 52491, 50981, 58166, 51741, 50284, 52019, 50296, 65480, 78172, 58299, 51841, 51172, 51315, 51203, 50916, 51172, 50968, 51203, 50435, 51247, 50851, 72753, 58529, 50931, 53614, 51841, 51260, 50296, 61432, 67919, 53999, 52046, 53130, 50295, 52415, 50307, 78393, 58038, 51841, 52169, 50296, 61650, 52169, 50320, 54752, 51247, 51853, 50297, 60540, 57643, 50892, 79922, 50981, 52113, 50981, 52491, 50981, 58166, 51741, 50284, 52019, 50296, 65480, 78172, 58299, 53771, 51337, 52113, 51337, 52491, 51337, 58166, 51337, 51315, 51172, 50916, 51203, 72543, 51430, 51203, 50435, 53771, 50822, 52113, 50822, 52491, 50822, 58166, 50822, 51315, 50827, 63077, 57910, 51430, 52691, 53771, 50987, 52113, 50987, 52491, 50987, 58166, 52415, 50296, 63784, 61527, 51712, 50332, 53999, 53077, 50978, 51633, 50978, 52228, 50978, 56167, 51962, 50294, 52169, 50306, 75213, 52169, 50330, 58038, 53250, 50978, 51643, 50978, 52394, 50978, 56187, 51962, 50292, 52169, 50304, 62245, 52169, 50328, 54752, 56213, 50978, 52135, 50978, 54727, 50978, 64795, 51962, 50291, 51260, 50303, 68219, 74984, 50892, 79705, 50981, 51643, 50981, 52394, 50981, 56187, 51741, 50292, 63085, 60559, 52019, 50328, 58299, 51279, 51172, 51027, 51203, 69541, 50999, 51203, 50435, 51279, 50827, 51027, 50822, 57472, 50999, 52691, 51279, 51712, 50301, 57069, 74992, 53999, 51324, 52169, 50303, 52415, 50315, 52169, 50327, 58038, 51085, 52169, 50304, 62245, 52169, 50328, 54752, 51279, 68589, 59389, 60472, 50892, 77632, 50932, 52135, 50932, 51979, 50932, 55291, 51517, 50287, 52019, 50299, 58657, 74826, 58299, 53077, 51423, 52135, 51309, 51979, 51423, 55291, 51423, 51214, 51534, 51026, 51203, 50899, 51534, 50861, 51534, 50973, 51534, 50902, 51255, 50435, 53077, 50874, 52135, 50874, 51979, 50874, 55291, 50874, 51214, 50874, 51026, 61895, 50874, 60192, 63475, 50902, 52729, 53077, 51318, 52135, 51318, 51979, 51318, 55291, 51310, 51214, 51318, 51026, 51295, 50899, 51310, 50861, 51310, 50973, 51310, 50902, 51295, 50456, 53077, 50978, 52135, 50978, 52228, 50978, 55291, 52415, 50287, 72046, 64151, 58399, 62879, 59353, 50901, 50799, 55602, 51343, 51667, 51364, 52228, 51343, 56167, 51274, 51799, 51115, 51120, 51141, 50899, 51295, 50989, 51295, 50877, 51295, 50902, 57345, 55602, 50917, 51643, 50937, 52228, 50917, 56167, 52014, 50282, 51853, 50294, 60318, 66199, 57254, 58000, 51646, 53863, 51103, 52135, 51103, 52228, 51103, 55291, 51077, 51214, 51080, 51026, 51047, 50899, 51183, 72684, 50973, 50918, 53975, 63784, 51514, 50280, 51671, 51085, 51293, 50421, 51026, 54335, 53771, 51253, 51643, 51253, 51979, 51253, 55297, 51253, 50900, 78721, 53961, 51026, 54137, 53771, 51312, 51643, 51312, 51979, 51312, 55297, 51312, 50900, 63784, 53999, 51026, 58262, 53771, 51253, 51643, 51253, 51979, 51253, 55297, 51253, 50900, 78721, 54752, 51026, 50905, 79922, 51310, 51643, 51310, 51979, 51310, 55297, 51310, 50900, 63784, 51514, 50280, 51671, 51085, 51313, 50421, 51026, 50905, 53523, 78721, 53961, 53863, 50978, 51643, 50978, 52491, 50978, 55297, 51962, 50299, 54137, 53863, 51312, 51643, 51312, 52491, 51312, 55297, 51312, 50900, 63784, 53999, 51026, 50978, 55895, 78721, 54752, 51026, 50905, 53975, 63784, 51514, 50280, 51671, 51085, 51313, 50421, 51026, 54335, 53863, 51253, 51643, 51253, 52491, 51253, 55297, 51253, 50900, 78721, 53961, 51026, 54137, 53863, 51312, 51643, 51312, 52491, 51312, 55297, 51312, 50900, 63784, 53999, 51026, 58262, 53863, 51253, 51643, 51253, 52491, 51253, 55297, 51253, 50900, 78721, 54752, 51026, 50905, 77275, 51310, 51643, 51310, 52491, 51310, 55297, 51310, 50900, 63784, 51514, 50280, 51517, 50292, 50915, 50421, 51026, 50905, 53523, 78721, 53961, 53407, 50959, 51633, 50959, 51979, 50978, 55297, 51962, 50299, 60282, 53771, 50886, 51643, 53980, 53077, 51310, 52135, 51310, 51979, 51310, 55291, 51310, 51086, 66676, 59704, 51455, 50287, 76619, 51026, 58262, 51086, 52169, 50306, 64611, 54752, 51026, 50905, 53975, 63784, 51514, 50280, 51671, 51085, 51293, 50421, 51026, 54335, 53863, 51253, 51643, 51253, 52491, 51253, 55297, 51253, 50916, 64716, 53961, 50900, 54137, 54985, 51242, 51643, 51312, 51978, 51242, 55297, 51312, 50871, 58887, 53999, 53863, 51058, 52491, 77414, 64716, 58038, 53407, 51242, 51643, 51253, 52172, 51242, 55297, 51253, 50899, 64611, 54752, 53771, 51058, 51979, 77615, 62215, 50892, 77632, 51310, 52135, 51310, 51979, 51310, 55291, 51310, 51086, 66676, 51514, 50287, 51145, 50421, 51026, 50905, 53523, 78721, 53961, 53771, 50978, 51643, 50978, 51979, 50978 ]

[ 0, 250, 2635, 8, 19448, 19834, 2125, 14, 115, 28, 341, 11, 10, 822, 6, 4246, 10, 6755, 12547, 6, 2342, 4467, 6, 30062, 620, 7085, 12280, 642, 6, 1515, 21305, 6, 8, 23338, 33518, 1264, 4, 20, 6711, 16, 2933, 8, 15352, 30054, 6, 19, 5, 2214, 278, 11, 5, 762, 9, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 43531, 406, 6, 12608, 406, 6, 8, 2060, 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, 55929, 51080, 51366, 51417, 51065, 51025, 50416, 51209, 51218, 50417, 51590, 51377, 55057, 76131, 51412, 50427, 51334, 69397, 52419, 51080, 51334, 51749, 51065, 51411, 50439, 51924, 51417, 50441, 55420, 74190, 52700, 51203, 50843, 64088, 50892, 50460, 51065, 56603, 51229, 51749, 54079, 51447, 51334, 51535, 51065, 51411, 50415, 52004, 68106, 51893, 51255, 50843, 76131, 51363, 50436, 51256, 51480, 50437, 51229, 79891, 54128, 51314, 51934, 50981, 51065, 51480, 50448, 51256, 51484, 50449, 51229, 51534, 57702, 64088, 51212, 50451, 51390, 50981, 50460, 51065, 58449, 51209, 51244, 51590, 51627, 55929, 51314, 51065, 51109, 50415, 51924, 51562, 55057, 76131, 50838, 50436, 51065, 61360, 51590, 56509, 52419, 51447, 51334, 51448, 51065, 51411, 50440, 51924, 51448, 50450, 51229, 51412, 50843, 64088, 51212, 50461, 51366, 51097, 54079, 51080, 51256, 51535, 51065, 51025, 50416, 51229, 51627, 50426, 51322, 51233, 50843, 76131, 58952, 55655, 51423, 50436, 51065, 59701, 51912, 64488, 54128, 51244, 51256, 51244, 51065, 51480, 50441, 51674, 51448, 50443, 51934, 51310, 57702, 64088, 51480, 50454, 51756, 54529, 51756, 50833, 53715, 53801, 50460, 53748, 52147, 50461, 52650, 52147, 55929, 51477, 51065, 51363, 51925, 51080, 50415, 54029, 52440, 50416, 51756, 50833, 52566, 63510, 53260, 52407, 50417, 53039, 51878, 50418, 53436, 52407, 50420, 51756, 50878, 50425, 52721, 51591, 55057, 76131, 51242, 50436, 51065, 53980, 54128, 52407, 51065, 51534, 57702, 64088, 51337, 50453, 51756, 61076, 51756, 50800, 53715, 56329, 50459, 53748, 53486, 50460, 52650, 52212, 50461, 54029, 52440, 55929, 51749, 51065, 51363, 52566, 52440, 50415, 51756, 50833, 53260, 51703, 53039, 51447, 50416, 53436, 52407, 50419, 51756, 60988, 52213, 51103, 55057, 76131, 51412, 51925, 51477, 50438, 54128, 51749, 51065, 51412, 50446, 54227, 53794, 50843, 64088, 51242, 50453, 54227, 62474, 54227, 57651, 53715, 52980, 50460, 51065, 57995, 53748, 54829, 52650, 52212, 55929, 51535, 54227, 51101, 51065, 51423, 51925, 51244, 54029, 53801, 50415, 52566, 52440, 50416, 53260, 51447, 53039, 51447, 50418, 53436, 56458, 50420, 52721, 54300, 55057, 76131, 51233, 50436, 51065, 52896, 54128, 51878, 51065, 51363, 57702, 64088, 51412, 55929, 51749, 51065, 51412, 50422, 53715, 61653, 50423, 53748, 54573, 50424, 52650, 53866, 50425, 54029, 53866, 52566, 60237, 55057, 76131, 50905, 51925, 52015, 53260, 52916, 50427, 53039, 52916, 50428, 53436, 54829, 50436, 51065, 54728, 54128, 51080, 51065, 51534, 57702, 64088, 51363, 50453, 51756, 77044, 51756, 62371, 53715, 54573, 50459, 53748, 53866, 50460, 52650, 52916, 54029, 52783, 50461, 52566, 58468, 55929, 51562, 51756, 50942, 51065, 51363, 51925, 51314, 53260, 52783, 50415, 53039, 52980, 50416, 53436, 55586, 50419, 51756, 50925, 50424, 52213, 51591, 55057, 76131, 50892, 50436, 51065, 53980, 54128, 51448, 51065, 51172, 57702, 64088, 59354, 52721, 61076, 52721, 59342, 51065, 50837, 55929, 51417, 52721, 50910, 51065, 64965, 52721, 50830, 50424, 52387, 51103, 55057, 76131, 51411, 51925, 57937, 52419, 51127, 51065, 51480, 51925, 51108, 50447, 54227, 51212, 57702, 64088, 50905, 50454, 52387, 65737, 53472, 51703, 50459, 52387, 50897, 53118, 51490, 50460, 51065, 50825, 52890, 52407, 50461, 52566, 52598, 52697, 52407, 54079, 51562, 51065, 51534, 51925, 51330, 53000, 51878, 50415, 53436, 51965, 50416, 53647, 51283, 50417, 52387, 55428, 55057, 76131, 51775, 50438, 54128, 51562, 51065, 51775, 57702, 64088, 51277, 54079, 51562, 51065, 51775, 50419, 55228, 54171, 50421, 57215, 52431, 53472, 52916, 50422, 52650, 53588, 54029, 55490, 50424, 52697, 52528, 53000, 52140, 55057, 76131, 50892, 51925, 51380, 55554, 51677, 50436, 51065, 54077, 54128, 51127, 51065, 51534, 57702, 64088, 51412, 50454, 51760, 68627, 57215, 51922, 50459, 51912, 52431, 53472, 51922, 50460, 51322, 51662, 51760, 50833, 53118, 53142, 50461, 51256, 51677, 52890, 54171, 54079, 51359, 51229, 51692, 51065, 51412, 51925, 51380, 50415, 54029, 54171, 50416, 51760, 50812, 52697, 52062, 50417, 53000, 53142, 50418, 53436, 52140, 50421, 51760, 57499, 52840, 51127, 50843, 76131, 51242, 50436, 51065, 53945, 51065, 51172, 57702, 64088, 51534, 50453, 51971, 63181, 51971, 50821, 54079, 51939, 51971, 53521, 51534, 50420, 51971, 50938, 50421, 53715, 54573, 50423, 51322, 52015, 53472, 52783, 50424, 51256, 51803, 53118, 53486, 50425, 51756, 51103, 52890, 53486, 50426, 51229, 52168, 51334, 52015, 50843, 76131, 51242, 51925, 51419, 52566, 58468, 50427, 52697, 52168, 50428, 53000, 52168, 50429, 53436, 52015, 50436, 51065, 53945, 51065, 51412, 50448, 52861, 63589, 52419, 56944, 64088, 51337, 50456, 52419, 50987, 52213, 63303, 53472, 51878, 50459, 53118, 52598, 50460, 52890, 51080, 50461, 51322, 52140, 51256, 51422, 52213, 50942, 52566, 52407, 54079, 51562, 51229, 51662, 51065, 51337, 51925, 51637, 52697, 54532, 50415, 53000, 51878, 50416, 53436, 51878, 50417, 53647, 51535, 50419, 52213, 53380, 50420, 51565, 67078, 51606, 64999, 51789, 60567, 52161, 53425, 51596, 63185, 76131, 68766, 53767, 64759, 52900, 50886, 55228, 52916, 50436, 53958, 76131, 50864, 53472, 52168, 50437, 52849, 50862, 53118, 52168, 54029, 52528, 50438, 54128, 51218, 52614, 77659, 51363, 51925, 51965, 50439, 52697, 52783, 50440, 53000, 52168, 50441, 53436, 52980, 50444, 51565, 68577, 51606, 70832, 51789, 61230, 52161, 50841, 51596, 53363, 50450, 52494, 55185, 64088, 68464, 51493, 50955, 53767, 65841, 52900, 61764, 53958, 64088, 57995, 52849, 50862, 54079, 51145, 52614, 51264, 51065, 51363, 50420, 53297, 65944, 52367, 50810, 53472, 52048, 50423, 53598, 50855, 53118, 51466, 50424, 52171, 50839, 52890, 52056, 52697, 51738, 50425, 51256, 51775, 51229, 51025, 52433, 51121, 52566, 52378, 50426, 51334, 69168, 76131, 51534, 51925, 51576, 53000, 51108, 50427, 53436, 53674, 53647, 51542, 50432, 51686, 50914, 50434, 55228, 51447, 50436, 51256, 51145, 53472, 51080, 50437, 51229, 51314, 53118, 52407, 52650, 54532, 50438, 54128, 51312, 51590, 51562, 51065, 51412, 51925, 51637, 54029, 51627, 50439, 52697, 51627, 50440, 53039, 53280, 50444, 53297, 68527, 52367, 71303, 53598, 61216, 52171, 53886, 54128, 50866, 52433, 51158, 50843, 64088, 50974, 50454, 54091, 57313, 54128, 50873, 51686, 51238, 50458, 54227, 80026, 51322, 51749, 51065, 60863, 51256, 51535, 53472, 52598, 53118, 54532, 54079, 51448, 51229, 51397, 51334, 51562, 52861, 61273, 51363, 51925, 51108, 52566, 52407, 52890, 52598, 50415, 53000, 51627, 50416, 53436, 51878, 50419, 52387, 52871, 51565, 60853, 51606, 65145, 52387, 51790, 51789, 61823, 52161, 50890, 51596, 51218, 55057, 76131, 51412, 50432, 53767, 64759, 52900, 50886, 55228, 51108, 50436, 53958, 50855, 53472, 52980, 50437, 51322, 51749, 51256, 51535, 52849, 50855, 53118, 52783, 52890, 53486, 50438, 54128, 51115, 51229, 51627, 51590, 51310, 52614, 62550, 51172, 51925, 51637, 50439, 54029, 51680, 50440, 53000, 52168, 50444, 51565, 64127, 51606, 64457, 51789, 58560, 52161, 55268, 51596, 52382, 52494, 55185, 64088, 51242, 50453, 54091, 54424, 51493, 50978, 53767, 77044, 54227, 70143, 52900, 63298, 53958, 64088, 60863, 52861, 50910, 52849, 50862, 54079, 51145, 52614, 51264, 51065, 51534, 50418, 52387, 60724, 53297, 50917, 50422, 53472, 51333, 50423, 52367, 50854, 53118, 51466 ]

[ 0, 250, 2635, 12, 20764, 5175, 15229, 11, 230, 538, 6, 4246, 10, 5679, 26709, 8, 19448, 5466, 6, 14156, 19601, 30, 10, 11602, 9, 15073, 8, 10, 25306, 1318, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 1844, 23225, 9, 5, 17465, 102, 6, 5, 364, 38537, 2621, 9, 38668, 22052, 6, 5, 36788, 22293, 9, 5, 21979, 9590, 6, 8, 5, 12405, 32618, 9, 5, 21072, 4, 20, 2125, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 14, 1171, 272, 6, 272, 12361, 6, 3676, 6, 272, 406, 6, 8, 230, 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 ]

[ 57128, 50916, 51226, 77448, 51026, 51274, 50900, 51274, 51461, 51221, 50427, 51461, 51178, 50430, 51378, 50821, 50989, 62887, 51026, 79279, 53294, 50965, 51226, 51176, 51226, 50916, 51226, 50900, 51285, 51461, 68031, 51461, 51178, 50454, 51026, 50921, 50861, 65372, 51176, 77701, 50880, 56310, 51226, 50916, 51226, 50877, 51274, 50900, 51285, 51461, 76186, 51461, 51178, 50430, 50997, 50821, 50906, 62500, 50877, 50883, 51027, 54459, 50965, 51226, 51176, 51274, 50900, 51285, 50916, 51285, 51461, 51221, 50451, 51461, 51178, 50454, 50877, 50921, 51027, 50936, 50458, 51176, 50883, 50965, 50880, 54955, 52500, 50900, 51469, 50916, 51469, 50861, 51469, 50415, 51461, 51178, 50427, 51461, 51221, 50430, 52233, 64160, 52016, 58866, 52091, 51178, 50439, 51461, 51121, 50446, 52233, 51675, 50450, 51461, 51178, 50454, 51378, 50921, 50457, 51026, 62959, 50900, 51469, 50916, 51469, 58526, 52500, 51461, 76186, 51461, 51221, 50429, 52233, 50937, 50433, 52016, 58020, 51461, 51178, 52091, 51178, 50446, 52233, 51675, 50450, 51461, 51178, 50454, 51026, 61981, 51176, 50821, 56310, 52500, 50900, 52500, 50916, 52500, 51461, 76186, 51461, 51178, 50430, 52233, 78344, 52016, 58866, 52091, 51121, 50439, 51461, 51121, 50445, 52233, 73324, 51461, 51121, 50458, 52016, 50925, 53997, 52536, 51461, 51178, 50415, 50997, 52500, 50899, 52500, 50916, 52500, 52091, 51359, 50426, 51461, 51178, 50438, 51461, 64860, 51461, 51121, 53997, 52536, 51140, 51178, 50415, 51027, 52500, 50900, 52500, 50427, 51140, 51121, 50430, 51821, 64160, 51678, 58020, 51140, 51121, 51701, 51121, 50446, 51821, 51675, 50450, 51140, 51121, 50453, 51324, 50940, 50457, 51085, 50948, 57497, 52536, 51027, 52500, 51040, 52500, 51140, 75262, 51140, 51121, 50429, 51821, 78344, 51678, 58866, 51140, 51121, 51701, 51121, 50446, 51821, 51675, 50450, 51140, 51178, 50454, 51085, 71208, 51360, 50940, 54206, 52500, 51027, 52500, 51120, 51696, 51140, 51178, 50427, 51140, 51178, 50430, 51821, 78344, 51678, 50925, 50439, 51140, 50873, 51701, 51121, 50446, 51821, 65504, 51140, 51121, 50454, 51678, 74304, 51705, 51377, 54594, 51192, 51027, 51167, 50956, 51167, 50989, 51167, 51701, 51359, 50426, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 51705, 58511, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 61426, 51705, 59076, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 51705, 62586, 50956, 60281, 51966, 50895, 51197, 50895, 51027, 50883, 51705, 66085, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 55757, 51705, 53041, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 50883, 51705, 61762, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 72199, 50883, 51705, 70834, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 50989, 72199, 50883, 51705, 52881, 51966, 50895, 51197, 50895, 51027, 50883, 50956, 50883, 51705, 60734, 50989, 72199, 59363, 75113, 54197, 51696, 50899, 51469, 51086, 51469, 50426, 51140, 50841, 51098, 51221, 52252, 71162, 63221, 52072, 50937, 57280, 51178, 50439, 52252, 56508, 51098, 51221, 50451, 51678, 68911, 50827, 54389, 51417, 51701, 68076, 51279, 52545, 50299, 51936, 50301, 51167, 51040, 51167, 50871, 60467, 64520, 51279, 51175, 50437, 51026, 51175, 51216, 51178, 63809, 51192, 51040, 51192, 50956, 66070, 51026, 52545, 50289, 51936, 50301, 75962, 59368, 80224, 51121, 61695, 50827, 53975, 52500, 50916, 52500, 50877, 52500, 51120, 52536, 51273, 75262, 51273, 51178, 51701, 71162, 53720, 52398, 51121, 68005, 50873, 50442, 51701, 56508, 51273, 51178, 61695, 65241, 52016, 50925, 54795, 51175, 51026, 51175, 51027, 51196, 50916, 51585, 51098, 51178, 50415, 52091, 68076, 51098, 67300, 62763, 51026, 51661, 51214, 51661, 62322, 50896, 50439, 51098, 51178, 56222, 50921, 51214, 51227, 51026, 51290, 51678, 50925, 50451, 51098, 62806, 65415, 50916, 50921, 52091, 50925, 50457, 50956, 61981, 52606, 76888, 50899, 52500, 50997, 52500, 51461, 51178, 53997, 52536, 52016, 78797, 51461, 62806, 64755, 51678, 79939, 52582, 58020, 51461, 51121, 51678, 51178, 50446, 52233, 79961, 51461, 50873, 61695, 61243, 51085, 52536, 56310, 51274, 50900, 51274, 51140, 51121, 50421, 51678, 50925, 50425, 52582, 63559, 51140, 51121, 52470, 50432, 51678, 50943, 50437, 51176, 51274, 50900, 51274, 60116, 51178, 50449, 51140, 51121, 52233, 51121, 52320, 54232, 52016, 50925, 50460, 52091, 51377, 50461, 51085, 51175, 51026, 51175, 51150, 51221, 53975, 51192, 50916, 51167, 78091, 51192, 51261, 51221, 51821, 57908, 51234, 51936, 50299, 51173, 50871, 51192, 52470, 50436, 51279, 51356, 51026, 51356, 50437, 51216, 71161, 51086, 51274, 51040, 51274, 50861, 51274, 51678, 51218, 52320, 59972, 50877, 50883, 51701, 59700, 51389, 51377, 56310, 50896, 55500, 50943, 53523, 50936, 51389, 51121, 52233, 51121, 52470, 77095, 52545, 50294, 51936, 50298, 55214, 51027, 50896, 52016, 51218, 50433, 50899, 50896, 50436, 51214, 51356, 51050, 51356, 50437, 51098, 51221, 50449, 51098, 51221, 52320, 62970, 50916, 72115, 64526, 50989, 52236, 50307, 61981, 50899, 50883, 50871, 62959, 51026, 51585, 50916, 51469, 56310, 50883, 50900, 51585, 51461, 51221, 54552, 51605, 53994, 52437, 51461, 71162, 54889, 52233, 79939, 52016, 63023, 52470, 50437, 52091, 51221, 50438, 51461, 71162, 63107, 52233, 79961, 51026, 50921, 52470, 50451, 51461, 51121, 50454, 51378, 50821, 58502, 57459, 51026, 50883, 54552, 51421, 50825, 58526, 52500, 50900, 52500, 50916, 52500, 51461, 51121, 56380, 51605, 52470, 50425, 51461, 51178, 51544, 60394, 52233, 64160, 52016, 50937, 79788, 51461, 51178, 52091, 51178, 52470, 50447, 52233, 51241, 50449, 51461, 51221, 52320, 57186, 54552, 60278, 51026, 67758, 56380, 56388, 51176, 50880, 79651, 55679, 51036, 53975, 52500, 50916, 52500, 51027, 52500, 51461, 51221, 55239, 51468, 50427, 51461, 51178, 50431, 52233, 64160, 67491, 52016, 58866, 51461, 51178, 50439, 52091, 50925, 51468, 50443, 52233, 73324, 51461, 51121, 50451, 51468, 50458, 52016, 66376, 79651, 51315, 51696, 51461, 51178, 53975, 59368, 72967, 51160, 52091, 51359, 55005, 67481, 79967, 51461, 51178, 60564, 71360, 50883, 50968, 59485, 51468, 50430, 50906, 71360, 50883, 50968, 65109, 50906, 51041, 56446, 50876, 50883, 50968, 60281, 50877, 71360, 76777, 51356, 50997, 51356, 50900, 51356, 51461, 51221, 50438, 50968, 51041, 64524, 50877, 71360, 50883, 50968, 60797, 50877, 71360, 50883, 50968, 51041, 58914, 51461, 50937, 50903, 53996, 50861, 50883, 50906, 50883, 50968, 61807, 50861, 50883, 50906, 50883, 50968, 50883, 51273, 65737, 50861, 50883, 50906, 50883, 50968, 50883, 51493, 50855, 52470, 53202, 51221, 55679, 51036, 52470, 50415, 51085, 51941, 50900, 52500, 51027, 52500, 50422, 52470, 50427, 51140, 51178, 50903, 61924, 51821, 50937, 51361, 53439, 51678, 72538, 52470, 50439, 51140, 51121, 51701, 51121, 50446, 51821, 50943, 50448, 51468, 50449, 50903, 53996, 51085, 50940, 51140, 51121, 50454, 51324, 50940, 50457, 51468, 50458, 51085, 65706, 51027, 52500, 51040, 52500, 50871, 52500, 55679, 51036, 51468, 57497, 52536, 51140, 51178, 50423, 55239, 51140, 51221, 71750, 60394, 51821, 79939, 51678, 72426, 57974, 51140, 51178, 51701, 51178, 50439, 51468, 50445, 51821, 51221, 50447, 55723, 51140, 51221, 70773, 62564, 51085, 71208, 51360, 50940, 79651, 50899, 52500 ]

[ 0, 250, 19448, 8, 5679, 26709, 25771, 5175, 2125, 6, 4246, 5, 15651, 3222, 5785, 9, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 9590, 3863, 6, 17691, 28430, 6, 8, 17465, 8244, 22778, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 30853, 23, 10, 38451, 3938, 20889, 6, 7630, 14805, 10, 1472, 9, 3722, 5581, 8, 7125, 4, 20, 40286, 163, 119, 6, 163, 406, 6, 8, 163, 119, 406, 428, 245, 1606, 7, 5, 22845, 41805, 5466, 9, 42, 13363, 28191, 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 ]

[ 56103, 56074, 50807, 50655, 50345, 79364, 50918, 52371, 75361, 51249, 52910, 51414, 50807, 56074, 50914, 50655, 50345, 56217, 51249, 51646, 56074, 50915, 50655, 50345, 50915, 51410, 56027, 51249, 52728, 51414, 50807, 56074, 50995, 50655, 50345, 58843, 51249, 50795, 50799, 52287, 50807, 64746, 79364, 54994, 51249, 52910, 74460, 52287, 50914, 64746, 56217, 51249, 51646, 52287, 50915, 64746, 50915, 51410, 56027, 51249, 52728, 74460, 52287, 50995, 64746, 58843, 51249, 50795, 50799, 53927, 50807, 50655, 50339, 79364, 54994, 51249, 52910, 51457, 50807, 53927, 50914, 50655, 50339, 56217, 51249, 51646, 53927, 50915, 50655, 50339, 50915, 51410, 56027, 51249, 52728, 51457, 50807, 53927, 50995, 50655, 50339, 58843, 51249, 50795, 50799, 51825, 50807, 56074, 79364, 54994, 51249, 52910, 51672, 50807, 51825, 50914, 56074, 56217, 51249, 51646, 51825, 50915, 56074, 50915, 51410, 56027, 51249, 52728, 51672, 50807, 51825, 50995, 56074, 58843, 51249, 50795, 50799, 56074, 50807, 50655, 50345, 79364, 50918, 52123, 51492, 52123, 51492, 51783, 51492, 51783, 51492, 51584, 51492, 51584, 51492, 51567, 51492, 51567, 51492, 52371, 75361, 51249, 52910, 51414, 50807, 56074, 50914, 50655, 50345, 56217, 51249, 51646, 56074, 50915, 50655, 50345, 50915, 51410, 56027, 51249, 52728, 51414, 50807, 56074, 50995, 50655, 50345, 58843, 51249, 50795, 50799, 52287, 50807, 64746, 79364, 54994, 51249, 52910, 74460, 52287, 50914, 64746, 56217, 51249, 51646, 52287, 50915, 64746, 50915, 51410, 56027, 51249, 52728, 74460, 52287, 50995, 64746, 58843, 51249, 50795, 50799, 53927, 50807, 50655, 50339, 79364, 54994, 51249, 52910, 51457, 50807, 53927, 50914, 50655, 50339, 56217, 51249, 51646, 53927, 50915, 50655, 50339, 50915, 51410, 56027, 51249, 52728, 51457, 50807, 53927, 50995, 50655, 50339, 58843, 51249, 50795, 50799, 51825, 50807, 56074, 79364, 54994, 51249, 52910, 51672, 50807, 51825, 50914, 56074, 56217, 51249, 51646, 51825, 50915, 56074, 50915, 51410, 56027, 51249, 52728, 51672, 50807, 51825, 50995, 56074, 58843, 51249, 50795, 61357, 50918, 53472, 50795, 52371, 51492, 52515, 50795, 52515, 55728, 54723, 58879, 72106, 53748, 50795, 51950, 50795, 51950, 53471, 54723, 54335, 51414, 50807, 53118, 50795, 51802, 50795, 51802, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 51950, 50795, 51950, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 52515, 50807, 52515, 58627, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51414, 50807, 53000, 50795, 52857, 50807, 52857, 58031, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 61357, 50918, 53472, 50795, 54063, 52045, 54063, 52045, 50417, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 74460, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 74460, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 50795, 54668, 54093, 54723, 50974, 61357, 50918, 53472, 50795, 53060, 50795, 53060, 55728, 54723, 58879, 72106, 53748, 50795, 53157, 50795, 53157, 53471, 54723, 54335, 51457, 50807, 53118, 50795, 54670, 50795, 54670, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 53013, 50795, 53013, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 55465, 50795, 55465, 54789, 54723, 55322, 72106, 53260, 50795, 53013, 50795, 53013, 53658, 54723, 53794, 51457, 50807, 53000, 50795, 54670, 50795, 54670, 55000, 54723, 52961, 51249, 50795, 53436, 50795, 53013, 51605, 53013, 51605, 50459, 54723, 50795, 61357, 50918, 53472, 55728, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 51672, 50807, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 51672, 50807, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 54093, 54723, 50874, 61357, 50918, 53472, 50795, 52371, 51492, 52515, 50795, 52515, 55728, 54723, 58879, 72106, 53748, 50795, 51950, 50795, 51950, 53471, 54723, 54335, 51414, 50807, 53118, 50795, 51802, 50795, 51802, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 51950, 50795, 51950, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 52515, 50807, 52515, 58627, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51414, 50807, 53000, 50795, 52857, 50807, 52857, 58031, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 61357, 50918, 53472, 50795, 54063, 52045, 54063, 52045, 50417, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 74460, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 74460, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 50795, 54668, 54093, 54723, 50974, 61357, 50918, 53472, 50795, 53060, 50795, 53060, 55728, 54723, 58879, 72106, 53748, 50795, 53157, 50795, 53157, 53471, 54723, 54335, 51457, 50807, 53118, 50795, 54670, 50795, 54670, 54253, 54723, 54100, 51249, 50795, 52890, 50795, 53013, 50795, 53013, 53505, 54723, 53264, 51410, 50918, 52697, 50795, 55465, 50795, 55465, 54789, 54723, 55322, 72106, 53260, 50795, 53013, 50795, 53013, 53658, 54723, 53794, 51457, 50807, 53000, 50795, 54670, 50795, 54670, 55000, 54723, 52961, 51249, 50795, 53436, 50795, 55465, 50795, 55465, 54093, 54723, 50795, 61357, 50918, 53472, 50795, 53013, 51036, 53013, 64163, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 51672, 50807, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 51672, 50807, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 54093, 54723, 50874, 50799, 56074, 50807, 50655, 50345, 79364, 50918, 53472, 50795, 52371, 51492, 50417, 54723, 58879, 72106, 53748, 53471, 54723, 54335, 51414, 50807, 56074, 50914, 50655, 50345, 50914, 53118, 54253, 54723, 54100, 51249, 50795, 52890, 53505, 54723, 53264, 56074, 50915, 50655, 50345, 50915, 51410, 50918, 52697, 54789, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51414, 50807, 56074, 50995, 50655, 50345, 50995, 53000, 55000, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 50799, 52287, 50807, 64746, 79364, 50918, 53472, 55728, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 74460, 52287, 50914, 64746, 50914, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 52287, 50915, 64746, 50915, 51410, 50918, 52697, 54789, 54723, 53999, 72106, 53260, 53658, 54723, 54058, 74460, 52287, 50995, 64746, 50995, 53000, 55000, 54723, 54509, 51249, 50795, 53436, 54093, 54723, 50974, 50799, 53927, 50807, 50655, 50339, 79364, 50918, 53472, 55728, 54723, 58879, 72106, 53748, 53471, 54723, 54335, 51457, 50807, 53927, 50914, 50655, 50339, 50914, 53118, 54253, 54723, 54100, 51249, 50795, 52890, 53505, 54723, 53264, 53927, 50915, 50655, 50339, 50915, 51410, 50918, 52697, 54789, 54723, 55322, 72106, 53260, 53658, 54723, 53794, 51457, 50807, 53927, 50995, 50655, 50339, 50995, 53000, 55000, 54723, 52961, 51249, 50795, 53436, 54093, 54723, 50795, 50799, 51825, 50807, 56074, 79364, 50918, 53472, 55728, 54723, 52115, 72106, 53748, 53471, 54723, 52483, 51672, 50807, 51825, 50914, 56074, 50914, 53118, 54253, 54723, 53308, 51249, 50795, 52890, 53505, 54723, 54233, 51825, 50915, 56074, 50915, 51410, 50918, 52697, 54789, 54723, 53999, 72106 ]

[ 0, 4688, 14073, 5175, 2214, 19, 10, 2933, 8, 15352, 30054, 5466, 6, 4246, 10, 16224, 1097, 483, 6, 81, 9756, 8669, 6, 38668, 483, 6, 8, 21072, 4, 8504, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 22690, 10, 33215, 13931, 9, 272, 401, 6, 274, 10431, 6, 381, 406, 6, 3676, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50798, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55462, 51835, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 51736, 55462, 52262, 55668, 64772, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55668, 57465, 51068, 55000, 55462, 51754, 55462, 52567, 55668, 50800, 51528, 56252, 55462, 50795, 61240, 52115, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 56919, 51068, 54253, 55668, 51628, 55462, 73684, 56252, 61042, 50795, 60669, 51918, 50798, 56252, 57210, 59513, 50798, 51798, 51068, 58717, 56750, 50328, 57465, 51068, 55000, 55668, 51754, 55462, 50795, 51528, 56252, 55462, 56025, 50798, 55728, 55462, 52115, 50798, 56252, 50421, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 53505, 53354, 64772, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55668, 51835, 50798, 56252, 55668, 60751, 50798, 51631, 51068, 58717, 50795, 55668, 61156, 51068, 51736, 53354, 52262, 53929, 64772, 56252, 53354, 55900, 50798, 54789, 53283, 51820, 50798, 56252, 53907, 59070, 50798, 53658, 53907, 59323, 51068, 58717, 60720, 51068, 51923, 53929, 52567, 55668, 50800, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55462, 51835, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 51736, 55462, 73684, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55668, 57465, 51068, 55000, 55462, 51754, 55462, 52567, 55668, 50800, 51528, 56252, 55462, 50795, 61240, 52115, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 56919, 51068, 54253, 55462, 53505, 55462, 64772, 56252, 61042, 50795, 60669, 51918, 50798, 56252, 57210, 59513, 50798, 51798, 51068, 58717, 56750, 50328, 57465, 51068, 55000, 53929, 51754, 55668, 50795, 51528, 56252, 55462, 56025, 50798, 55728, 55462, 52115, 50798, 56252, 50421, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 53505, 53907, 64772, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55668, 51835, 50798, 56252, 55668, 60751, 50798, 51631, 51068, 58717, 50795, 55668, 56919, 51068, 54253, 55668, 51628, 53354, 52262, 53929, 64772, 56252, 53354, 55900, 50798, 54789, 53283, 51820, 50798, 56252, 53907, 59070, 50798, 53658, 53907, 59323, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115, 50798, 56252, 50421, 50798, 51631, 51068, 58717, 56750, 50327, 50807, 53134, 50807, 55013, 61857, 51068, 73684, 56252, 55462, 50807, 52408, 50807, 53079, 50807, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 50795, 55668, 50807, 52412, 50807, 52174, 63551, 51068, 50795, 51528, 56252, 55462, 50795, 52408, 50795, 53079, 50795, 61240, 52115, 50798, 56252, 55462, 50795, 52408, 50795, 53079, 60751, 50798, 51631, 51068, 58717, 61156, 51068, 73684, 56252, 60669, 51918, 50798, 56252, 79696, 51798, 51068, 58717, 60720, 51068, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55462, 51835, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 51736, 55462, 73684, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55668, 57465, 51068, 55000, 55462, 51754, 55462, 52567, 55668, 50800, 51528, 56252, 55462, 50795, 61240, 52115, 50798, 56252, 55462, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55462, 56919, 51068, 54253, 55668, 51628, 55462, 73684, 56252, 61042, 50795, 60669, 51918, 50798, 56252, 57210, 59513, 50798, 51798, 51068, 58717, 56750, 50328, 57465, 51068, 55000, 53929, 51754, 55668, 50795, 51528, 56252, 55462, 56025, 50798, 55728, 55462, 52115, 50798, 56252, 50421, 50798, 53471, 55462, 51620, 51068, 58717, 50795, 55462, 61156, 51068, 73684, 56252, 55462, 50795, 60669, 51918, 50798, 56252, 55462, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 51923, 55668, 50795, 51528, 56252, 55668, 56025, 50798, 55728, 55668, 51835, 50798, 56252, 55668, 60721, 50798, 53471, 55668, 51620, 51068, 58717, 50795, 55668, 56919, 51068, 54253, 55668, 51628, 53354, 52262, 53929, 64772, 56252, 53354, 55900, 50798, 54789, 53283, 51820, 50798, 56252, 53907, 59513, 50798, 51798, 51068, 58717, 50795, 55462, 60720, 51068, 50795, 51528, 56252, 57210, 50807, 52117, 50807, 53512, 50807, 61240, 52115 ]

[ 0, 250, 2635, 12, 20764, 15855, 2125, 19, 25771, 4785, 6, 4246, 10, 20535, 2810, 9, 32909, 6, 326, 5638, 18026, 6, 8, 1515, 21305, 6, 14156, 19601, 30, 10, 3152, 6757, 8, 32625, 2236, 1021, 2678, 29, 4, 20, 15229, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 20455, 9, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 12608, 6, 12608, 119, 6, 3676, 6, 230, 119, 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 ]

[ 57448, 51579, 51108, 51836, 51108, 54012, 51108, 51866, 51108, 54664, 51080, 60915, 62666, 52067, 50972, 51836, 50972, 54012, 50972, 52148, 55378, 51579, 50972, 51836, 50972, 54012, 50972, 51866, 54938, 51509, 51108, 51946, 51314, 53339, 51314, 53508, 51283, 57953, 77069, 51579, 57092, 51509, 50972, 53508, 50838, 57953, 50838, 67659, 50972, 51836, 50972, 51946, 51314, 54664, 51283, 60915, 72108, 51485, 55191, 51431, 55378, 51485, 50972, 53508, 50838, 57953, 52718, 51431, 51108, 53064, 51314, 51946, 51314, 54664, 51080, 60915, 66405, 51431, 57092, 51485, 50972, 67719, 51108, 51946, 51314, 52032, 51314, 54198, 51283, 55151, 75850, 51485, 55378, 51431, 50972, 54198, 50838, 55151, 52718, 51431, 51108, 51946, 51108, 52032, 51108, 54198, 51080, 55151, 66405, 51579, 51108, 52032, 51108, 53343, 51108, 51866, 51108, 63355, 51314, 52695, 51108, 52541, 51108, 55356, 51283, 61290, 75850, 52695, 51108, 52541, 64809, 54198, 50838, 55356, 52718, 52695, 51108, 52541, 51108, 55356, 51080, 61290, 66405, 51431, 50972, 52695, 51108, 52541, 63190, 51431, 50972, 50799, 52298, 51108, 52695, 51108, 52541, 51108, 55356, 51283, 57953, 75850, 51641, 51108, 52541, 51108, 53339, 64809, 54198, 50838, 55356, 52718, 52264, 51108, 53339, 51108, 53343, 51108, 52377, 51108, 55356, 51283, 57953, 77069, 51579, 50972, 53339, 50972, 53343, 50972, 51866, 57092, 52264, 50972, 52541, 50972, 55356, 50838, 57953, 50838, 50799, 52067, 51108, 51836, 51108, 54012, 51108, 52148, 51108, 54289, 51283, 54664, 75850, 51744, 51108, 52196, 51108, 51836, 64809, 54330, 50838, 54289, 52718, 51431, 51108, 53064, 51108, 52196, 51108, 54289, 51080, 54664, 66405, 51898, 50972, 52338, 51108, 53064, 63190, 51898, 50972, 50799, 52211, 50972, 51996, 50972, 52338, 51314, 53394, 51080, 55356, 62557, 52039, 55191, 52334, 55378, 52039, 54938, 52211, 51108, 54541, 51108, 51996, 51108, 59254, 50932, 57971, 54980, 52039, 50972, 56117, 51108, 52665, 51108, 53508, 50932, 57953, 56109, 52039, 50972, 63355, 52140, 53064, 51108, 51946, 51108, 54664, 50932, 61668, 54869, 53064, 51108, 51946, 51108, 53508, 51172, 59246, 51172, 50435, 54330, 50827, 60915, 52788, 53064, 51108, 51946, 51108, 53482, 50932, 54664, 54980, 53064, 50972, 51946, 50972, 57049, 50972, 53482, 50838, 53508, 53581, 53064, 50972, 51946, 50972, 57049, 50972, 53482, 50838, 53508, 50838, 50799, 51996, 51314, 52541, 51314, 73041, 50972, 53394, 51283, 55356, 72108, 57049, 55191, 75798, 55378, 57049, 50972, 53394, 50838, 55356, 52718, 53064, 51108, 52541, 51108, 73041, 50972, 57953, 51080, 60915, 63323, 61962, 55437, 52541, 51108, 53339, 51108, 61962, 57092, 50754, 50324, 50972, 50799, 53151, 51314, 58302, 51314, 72353, 50972, 53394, 51283, 55356, 72108, 66296, 55191, 70033, 55378, 66296, 50972, 53394, 50838, 55356, 52718, 54012, 51108, 58302, 51108, 72353, 50851, 57953, 51080, 60915, 79869, 72353, 54478, 72353, 55437, 54012, 51108, 58302, 51108, 72353, 57092, 66296, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 54330, 51080, 60915, 63323, 54012, 51637, 58302, 51637, 66759, 55437, 66759, 57092, 72353, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 53064, 51108, 51946, 51108, 53508, 50932, 54664, 54980, 53064, 51108, 51946, 51108, 57049, 50972, 53482, 50932, 53508, 56109, 57049, 50972, 50799, 51996, 51314, 52541, 51314, 73041, 50972, 53394, 51283, 55356, 72108, 57049, 55191, 75798, 55378, 57049, 50972, 53394, 50838, 55356, 52718, 53064, 51108, 52541, 51108, 73041, 50972, 57953, 51080, 60915, 63323, 61962, 55437, 52541, 51108, 53339, 51108, 61962, 57092, 50754, 50324, 50972, 50799, 53151, 51314, 58302, 51314, 72353, 50972, 53394, 51283, 55356, 72108, 66296, 55191, 70033, 55378, 66296, 50972, 53394, 50838, 55356, 52718, 54012, 51108, 58302, 51108, 72353, 50972, 57953, 51080, 60915, 63323, 72353, 55437, 54012, 51108, 58302, 51108, 72353, 57092, 66296, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 55356, 51080, 60915, 63323, 54012, 51637, 58302, 51637, 66759, 55437, 66759, 57092, 72353, 50972, 50799, 60152, 51314, 55151, 51080, 61290, 62666, 52695, 51108, 51946, 61417, 53064, 51108, 51946, 51108, 53508, 50932, 54664, 54980, 53064, 51108, 51946, 51108, 53482, 50932, 53508, 50932, 50799, 53151, 51108, 56065, 51108, 55199, 51108, 52194, 51108, 53394, 54869, 53151, 50972, 56065, 50972, 55873, 50972, 52488, 50972, 53394, 55665, 51836, 50972, 55199, 54938, 54012, 51108, 53883, 51108, 54876, 51108, 52178, 51108, 54664, 53624, 54664, 54980, 54012, 50972, 53883, 50972, 55199, 50972, 52194, 57092, 52032, 50972, 54876, 50972, 54664, 50838, 50799, 53151, 50972, 51836, 51108, 54030, 50972, 52148, 51108, 53394, 57410, 53807, 55191, 51836, 51108, 53775, 50972, 52148, 51108, 53394, 55665, 53807, 54938, 52196, 51108, 51836, 51108, 53775, 51108, 53394, 54980, 52196, 50972, 51836, 50972, 53775, 50972, 53394, 53581, 52196, 50972, 51836, 50972, 53807, 50972, 53394, 50838, 50799, 51836, 51108, 53343, 51108, 56817, 51108, 52377, 51108, 55356, 62666, 52541, 51108, 51836, 51108, 53807, 55378, 53775, 54938, 52541, 51108, 51836, 51108, 53775, 51108, 55356, 53624, 55356, 54980, 53343, 51108, 58302, 51108, 55199, 51108, 52194, 63190, 55356, 50838, 50799, 52541, 51108, 53916, 51108, 53775, 51314, 59254, 54869, 52541, 51108, 53916, 51108, 59254, 54498, 52541, 51108, 53916, 51108, 59254, 54980, 52541, 50972, 53916, 50972, 53775, 50972, 59254, 53581, 52541, 50972, 53916, 50972, 53775, 50972, 59254, 50838, 50799, 52541, 51108, 53916, 51108, 54173, 51108, 59254, 75850, 53916, 51108, 54012, 51108, 56817, 51108, 52377, 64809, 55356, 52718, 54012, 51108, 58302, 51108, 58358, 51108, 54006, 51108, 59254, 77069, 54012, 50972, 58302, 50972, 55199, 50972, 52194, 57092, 53916, 50972, 58358, 50972, 59254, 50838, 50799, 53151, 51108, 56065, 51108, 55873, 51108, 52488, 51108, 54931, 75850, 52601, 51108, 53151, 51108, 54030, 51108, 52148, 64809, 54289, 52718, 52196, 51108, 52601, 51108, 53775, 51108, 54931, 66405, 51996, 51108, 52196, 51108, 53136, 57092, 53136, 50972, 50799, 52032, 50972, 51996, 51314, 55862, 50972, 57953, 62557, 53091, 55191, 54142, 55378, 53091, 54938, 53780, 51108, 52032, 51108, 55862, 51108, 55160, 54980, 53064, 51108, 51946, 51108, 53091, 50972, 54664, 56109, 53091, 50972, 50799, 52196, 51108, 51836, 51108, 53775, 52140, 51702, 51108, 53394, 54869, 52196, 51108, 51836, 51108, 51702, 51108, 54664, 51172, 50435, 54289, 52788, 52196, 51314, 51836, 51314, 51702, 51314, 53394, 51080, 50799, 53873, 52026, 50292, 51592, 50417, 51026, 51592, 56440, 51680, 50426, 53132, 55378, 53132, 54938, 53132, 58959, 53686, 50851, 51946, 51108, 53339, 52026, 50287, 51517, 50291, 51517, 50294, 51333, 50453, 53274, 54622, 52888, 56573, 53686, 50851, 50799, 53274, 51449, 51946, 51449, 51836, 51449, 51085, 51283, 51315, 51283, 52206, 51490, 50420, 51866, 50851, 51026, 53591, 51866, 50851, 51026, 52580, 52194, 69476, 53052, 53572, 69476, 62215, 62215, 52718, 53459, 51314, 51085, 51490, 51026, 77132, 67835, 51080, 50799, 53873, 50972, 51946, 51637, 52046, 51490, 51197, 51080, 51026, 51080, 50997, 62557, 54669, 55191, 53391, 55378, 53132, 54938, 53391, 51853, 50278, 51490, 51234, 79869, 51027 ]

[ 0, 250, 15855, 8, 19834, 12, 5827, 15229, 14, 7630, 6568, 10, 25306, 5466, 6, 19, 9066, 8, 2933, 223, 34693, 4, 20, 2635, 20889, 8, 5425, 112, 73, 306, 86, 6543, 1045, 10, 1472, 9, 8556, 6, 150, 5, 6168, 3540, 6, 6755, 12547, 6, 9590, 3863, 6, 33704, 5675, 22052, 6, 8, 17465, 8244, 22778, 35810, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 230, 10431, 119, 406, 6, 274, 10431, 119, 6, 8, 274, 10431, 401, 6, 1271, 7, 63, 29475, 8, 12754, 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 ]

[ 52552, 50622, 77988, 50807, 53599, 50807, 50665, 50305, 61839, 77988, 50807, 50799, 61616, 51358, 50695, 50286, 51036, 63875, 51605, 53148, 51358, 53148, 51036, 74855, 50807, 50665, 50310, 51358, 50832, 54925, 61616, 51358, 63875, 51605, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 74855, 55672, 50434, 74855, 58024, 74855, 52565, 74855, 58109, 52210, 77988, 50795, 53599, 59513, 77988, 51798, 54019, 50795, 51883, 60720, 54019, 51923, 52882, 50795, 60767, 67755, 61393, 52882, 50795, 60767, 50795, 50799, 52494, 51161, 50695, 50291, 51036, 50721, 50286, 50918, 51251, 51161, 52065, 51036, 50767, 50291, 51091, 50665, 50306, 51358, 50832, 54925, 52494, 51161, 50721, 50286, 54994, 50832, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 50767, 50291, 55672, 50434, 50767, 50291, 58024, 50767, 50291, 52565, 50767, 50291, 51048, 50832, 56484, 50832, 59797, 50832, 50818, 52260, 50818, 56568, 58431, 50832, 52210, 50721, 50284, 54397, 58500, 50721, 50284, 54397, 57000, 50832, 50818, 52283, 50818, 57730, 57868, 50832, 52396, 54568, 50795, 50721, 50286, 79819, 54397, 56086, 54568, 50795, 50721, 50286, 51923, 54577, 50795, 60767, 50795, 52065, 61393, 54577, 50795, 60767, 50795, 50799, 54568, 50983, 50695, 50286, 51036, 63875, 51358, 51794, 50983, 53148, 51036, 74855, 50807, 50665, 50310, 51358, 50832, 54925, 54568, 50983, 63875, 51358, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 54577, 50795, 52065, 50795, 74855, 55672, 50433, 54577, 57775, 74855, 58024, 74855, 52565, 54019, 50807, 51883, 50807, 74855, 58109, 56484, 54019, 53218, 63392, 59513, 63392, 51798, 55872, 50795, 60337, 50795, 52316, 60720, 55872, 50795, 60337, 51923, 61616, 50795, 57184, 50795, 53148, 61393, 61616, 50795, 57184, 50795, 50799, 55872, 51161, 50695, 50293, 51036, 58391, 50983, 52316, 51161, 51794, 51036, 50767, 50293, 51091, 50665, 50305, 51358, 50832, 54925, 55872, 51161, 58391, 50983, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 57184, 50809, 50767, 50293, 55672, 50433, 57184, 57307, 58391, 50809, 50767, 50293, 53593, 58391, 59079, 57184, 50809, 50767, 50293, 56359, 57184, 52444, 60337, 50967, 50767, 50293, 51060, 50832, 56484, 60337, 61175, 59797, 50832, 50818, 52260, 50818, 56568, 58431, 50832, 52210, 50832, 58500, 50832, 57000, 50832, 50818, 52283, 50818, 57730, 57868, 50832, 52396, 77988, 50807, 50721, 50286, 50795, 53599, 58109, 56086, 77988, 50807, 50721, 50286, 51923, 60767, 61393, 60767, 50795, 50799, 61616, 50983, 50695, 50286, 51036, 63875, 50918, 53148, 50983, 53148, 51036, 74855, 50807, 50665, 50310, 51358, 50832, 54925, 61616, 50983, 63875, 54994, 50832, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 77988, 50795, 53599, 50795, 74855, 55672, 50433, 77988, 57775, 74855, 58024, 74855, 52565, 54019, 50795, 51883, 50795, 74855, 50983, 50832, 56484, 54019, 51918, 61616, 50795, 63392, 50795, 53148, 59513, 61616, 50795, 63392, 51798, 54568, 50795, 60337, 50830, 51794, 60720, 54568, 50795, 60337, 60278, 57184, 75087, 57184, 54896, 53839, 65728, 61393, 53839, 59831, 58391, 57814, 58391, 50830, 50799, 52882, 50918, 50695, 50291, 51036, 58030, 51161, 51301, 50918, 52065, 51036, 50767, 50291, 51091, 50665, 50305, 51358, 50832, 54925, 52882, 50918, 58030, 51161, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 50767, 50291, 55672, 50434, 50767, 50291, 58024, 50767, 50291, 52565, 52494, 50807, 51251, 50807, 50767, 50291, 61175, 56484, 52494, 58109, 59797, 50832, 50818, 52260, 50818, 56568, 58431, 50832, 52210, 50832, 58500, 50832, 57000, 50832, 50818, 52283, 50818, 57730, 57868, 50832, 52396, 54568, 79819, 54397, 56086, 54568, 51923, 54577, 50795, 52065, 61393, 54577, 50795, 50799, 54568, 50983, 77269, 51036, 58391, 51605, 51794, 50983, 51883, 51036, 50767, 50301, 50807, 50665, 50308, 51358, 50832, 54925, 54568, 50983, 58391, 51605, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 54577, 50795, 52065, 50795, 50767, 50301, 55672, 50433, 54577, 57775, 50767, 50301, 58024, 50767, 50301, 52565, 54019, 50795, 51883, 50795, 50767, 50301, 50983, 50832, 56484, 54019, 51918, 54019, 50809, 51883, 61189, 54019, 57993, 54577, 50809, 52065, 53401, 54577, 59787, 54019, 50809, 51883, 59248, 54019, 52555, 55872, 50795, 52316, 50795, 50665, 50310, 50967, 50451, 55872, 51923, 54019, 50795, 58030, 50795, 51883, 61393, 54019, 50795, 58030, 50795, 50799, 54577, 51161, 50695, 50296, 50918, 55444, 50983, 51301, 50918, 52065, 51161, 65888, 51091, 68048, 57439, 51700, 54925, 54577, 51161, 55444, 50983, 63311, 50818, 54519, 58100, 50804, 52432, 50804, 55672, 53951, 55672, 53327, 50818, 56957, 50818, 57363, 72247, 55672, 59493, 54013, 50804, 56999, 50804, 52209, 58030, 51626, 55672, 50433, 58030, 50795, 53924, 50818, 52594, 56359, 50804, 52565, 75458, 50807, 58391, 50800, 51251, 52496, 55672, 50439, 58391, 51475, 59797, 50804, 55672, 53012, 55672, 56568, 58431, 50804, 51700, 52210, 58391, 51626, 55672, 50445, 58391, 54397, 50818, 53526, 55672, 52612, 55672, 57730, 50818, 57048, 51700, 52396, 54568, 50807, 55330, 50807, 50695, 50293, 50807, 58030, 79819, 50807, 51794, 50807, 72165, 55340, 60980, 55672, 50451, 54568, 50807, 55330, 50807, 58030, 50795, 55340, 50991, 57857, 50818, 53061, 58464, 50804, 52349, 55444, 51626, 57430, 55444, 50795, 54124, 50818, 52198, 50818, 56483, 50818, 50799, 52494, 51358, 53767, 51358, 50695, 50291, 51161, 58030, 51161, 51251, 51358, 51107, 51358, 52371, 51161, 53148, 51161, 52065, 51161, 52065, 51161, 50767, 50291, 50807, 53679, 59564, 61711, 50983, 50832, 55731, 50983, 50415, 52494, 51358, 53767, 51358, 58030, 51161, 53679, 51291, 55997, 56493, 50832, 50818, 56957, 52437, 50832, 52209, 50767, 50291, 55672, 50434, 50767, 50291, 58024, 50767, 50291, 52565, 50767, 50291, 50865, 50665, 50306, 51358, 50832, 52210, 54577, 50795, 53958, 50795, 52065, 50795, 71006, 54008, 66353, 54577, 50795, 53958, 50795, 54008, 53484, 52882, 50795, 56940, 50795, 50695, 50296, 50807, 55444, 50807, 51301, 50795, 66466, 52830, 50807, 52316, 50807, 52065, 50807, 51301, 50807, 65888, 50991, 55314, 67098, 52882, 50795, 56940, 50795, 55444, 50807, 55314, 54896, 52494, 50800, 53767, 50800, 75848, 67247, 53679, 59567, 52494, 50800, 53767, 50800, 53679, 53793, 54568, 50800, 55330, 50800, 51794, 50800, 51488, 50800, 55340, 59107, 54568, 50800, 55330, 50800, 55340, 50809, 50799, 52494, 50807, 53767, 50807, 50695, 50291, 51091, 58030, 51605, 51251, 50807, 68831, 52065, 51091, 52371, 51036, 53148, 51036, 52065, 51036, 50767, 50291, 51091, 53679, 78974, 54925, 52494, 50807, 53767, 50807, 58030, 51605, 53679, 50991, 55997, 56493, 50832, 50818, 56957, 52437, 54577, 51358, 53958, 51358, 52065, 51358, 51357, 51358, 54008, 51291, 50832, 56171, 54577, 51358, 53958, 51358, 54008, 51291, 50432, 50695, 50291, 50800, 52065, 50800, 50767, 50291, 55672, 50434, 50767, 50291, 53593, 50695, 50293, 50800, 51794, 58480, 50767, 50291, 52444, 75458, 50807, 51251, 50807, 50767, 50291, 58006, 55672, 50439, 50832, 59797, 50804, 55672, 53012, 55672, 56568, 58431, 50804, 51700, 52210, 50804, 55672, 73465, 50818, 53526, 55672, 52612, 55672, 57730, 50818, 57048, 51700, 52396, 50695, 50291, 50991, 52065, 60980, 55672, 57857, 50818, 53061, 58464, 50804, 52349, 54568, 50795, 55330, 79819 ]

[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 3495, 16882, 6, 4246, 10, 6755, 12547, 6, 2662, 271, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 8, 38668, 2236, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 538, 6, 19, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 8, 274, 406, 16, 26584, 341, 1328, 5, 2214, 6, 2351, 10, 19448, 8, 33558, 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 ]

[ 57333, 50799, 51956, 51544, 50835, 51570, 52772, 51956, 50799, 51956, 50420, 51751, 51797, 77760, 50979, 51797, 50992, 51797, 50939, 51797, 51298, 51797, 75694, 50810, 72847, 55124, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 75694, 50862, 72847, 57378, 51751, 51797, 77760, 50979, 51797, 50992, 51797, 50939, 51797, 51298, 51797, 75694, 71350, 50326, 70511, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 75694, 71350, 50326, 62232, 51751, 51797, 51037, 51642, 50979, 51797, 50992, 51309, 50939, 51309, 75694, 50867, 72847, 58271, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 75694, 50867, 72847, 60272, 51751, 51797, 77760, 50979, 51309, 50992, 51797, 50939, 51797, 51298, 51797, 75694, 50874, 72847, 50971, 68408, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 75694, 50977, 72847, 55869, 51751, 51309, 77760, 50979, 51309, 50992, 51797, 50939, 51309, 51298, 51797, 66682, 50971, 72847, 56323, 51751, 51178, 51037, 51178, 50979, 51178, 67069, 50939, 51178, 51298, 51178, 75694, 50864, 66682, 50892, 72847, 53705, 51751, 51797, 51037, 51309, 50979, 51797, 50847, 51309, 50939, 51309, 51298, 51797, 64657, 51126, 75694, 55108, 51751, 51178, 51037, 51178, 50979, 51178, 67069, 50939, 51178, 66682, 50867, 64657, 51212, 75694, 53783, 51751, 51309, 77760, 50979, 51797, 50847, 51797, 50939, 51309, 63953, 51126, 66682, 54626, 51751, 51178, 51037, 51178, 50979, 51178, 67069, 50939, 51178, 51298, 51178, 64657, 50864, 63953, 50978, 66682, 72492, 51751, 51797, 51037, 51309, 50979, 51797, 50847, 51797, 50939, 51797, 51298, 51309, 61759, 50863, 64657, 51123, 51057, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 63953, 50862, 61759, 50838, 64657, 54964, 51751, 51797, 77760, 50979, 51309, 50992, 51797, 50939, 51797, 51298, 51797, 58113, 50971, 63953, 65437, 51751, 51178, 51037, 51178, 50979, 51178, 50992, 51178, 50939, 51178, 51298, 51178, 61759, 50982, 58113, 50901, 63953, 72883, 51751, 51797, 77760, 50979, 51797, 50992, 51797, 50939, 51309, 51298, 51797, 64619, 50941, 61759, 50907, 59008, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 51215, 64619, 54249, 61759, 55844, 50420, 51164, 51797, 51037, 51309, 77735, 50992, 51797, 51007, 73911, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 75123, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 50438, 51164, 51110, 51037, 51110, 76067, 50992, 51110, 51007, 64990, 51164, 51797, 77760, 50872, 51797, 50992, 51309, 51007, 51797, 50450, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51164, 51797, 51037, 51309, 50872, 51797, 50992, 51797, 51007, 51797, 59008, 50967, 51037, 50967, 78871, 50992, 50967, 51007, 61766, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 77008, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 75123, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 50438, 51164, 51110, 51037, 51110, 76067, 50992, 51110, 51007, 51110, 58113, 50977, 63953, 64714, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 63953, 50974, 66682, 72887, 51164, 51483, 51037, 51483, 50872, 51483, 50992, 51483, 51007, 51483, 61759, 51365, 64657, 60272, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 61759, 50867, 64657, 62065, 63953, 51000, 75694, 50907, 68408, 51110, 51037, 51110, 50979, 51110, 72976, 51298, 51110, 63953, 51359, 66682, 53588, 50420, 51751, 51642, 77760, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51483, 51037, 51483, 50979, 51483, 74433, 51298, 51483, 50432, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 50438, 51751, 51110, 51037, 51110, 50979, 51110, 72976, 51298, 64990, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 68408, 50967, 51037, 72092, 50967, 68823, 51298, 61766, 51751, 51797, 51037, 51642, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 51354, 54942, 57421, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 72762, 51751, 51095, 51037, 77947, 51095, 72627, 51298, 51095, 52817, 76623, 51751, 51797, 51037, 51309, 50979, 51797, 50847, 51309, 51298, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51797, 77760, 50979, 51797, 50847, 51797, 51298, 51797, 52756, 50845, 59008, 51095, 51037, 51095, 50872, 76126, 51007, 51095, 54467, 74258, 51164, 51797, 51037, 51309, 50872, 51797, 50992, 51642, 51007, 77008, 51164, 51379, 51037, 51379, 50872, 51379, 50992, 51379, 51007, 51379, 50432, 51164, 51797, 77760, 50872, 51797, 50992, 51309, 51007, 51797, 50438, 51164, 51095, 51037, 51095, 50872, 76126, 51007, 75658, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 68324, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 59008, 50967, 51037, 50967, 78871, 50992, 50967, 51007, 61766, 51164, 51309, 51037, 51642, 50872, 51642, 50992, 51642, 51007, 77008, 51164, 51178, 51037, 51178, 50872, 51178, 50992, 51178, 51007, 51178, 54942, 51056, 50432, 51164, 51797, 77760, 50872, 51797, 50992, 51642, 51007, 51797, 50438, 51164, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 51215, 54324, 76623, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 51797, 50450, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51037, 51642, 77735, 50992, 51797, 51007, 51797, 53200, 50901, 68408, 51215, 51037, 51215, 50979, 51215, 68567, 51298, 51215, 54324, 70762, 51751, 51797, 51037, 51642, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 75123, 51751, 51797, 77760, 50979, 51797, 50847, 51309, 51298, 51642, 50438, 51751, 51215, 51037, 51215, 50979, 51215, 68567, 50444, 51751, 51309, 77760, 50979, 51797, 50847, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51309, 77760, 50979, 51309, 50847, 51797, 51298, 51309, 68408, 51215, 51037, 51215, 50979, 51215, 68567, 51298, 51215, 50420, 51751, 51642, 77760, 50979, 51797, 50847, 51797, 51298, 77008, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 51354, 54942, 57421, 51751, 51797, 77760, 50979, 51309, 50847, 51797, 51298, 51797, 50438, 51751, 51215, 51037, 51215, 50979, 51215, 68567, 51298, 51215, 52817, 73779, 51751, 51797, 77760, 50979, 51797, 50847, 51309, 51298, 51797, 50450, 51751, 51354, 79294, 50979, 51354, 50847, 51354, 51298, 76999, 51751, 51797, 77760, 50979, 51309, 50847, 51797, 51298, 51797, 52756, 50892, 59008, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 51215, 54467, 74905, 51164, 51797, 77760, 50872, 51797, 50992, 51797, 51007, 77008, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 75123, 51164, 51797, 51037, 51309, 77735, 50992, 51797, 51007, 51797, 50438, 51164, 51215, 51037, 51215, 50872, 51215, 50992, 51215, 51007, 77683, 51164, 51642, 77760, 50872, 51797, 50992, 51797, 51007, 68324, 51164, 51354, 79294, 50872, 51354, 50992, 51354, 51007, 76999, 51164, 51797, 77760 ]

[ 0, 250, 251, 8, 19448, 1619, 2125, 11, 5, 1365, 6288, 11581, 6, 4246, 10, 13305, 8, 21979, 8669, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 20, 2214, 34, 10, 7212, 20889, 9, 7953, 13410, 228, 2289, 6, 16, 11, 5, 762, 9, 211, 538, 6, 8, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 8, 83, 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 ]

[ 57211, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 52563, 62328, 59210, 51614, 51449, 51669, 51592, 51808, 51449, 51434, 51313, 76429, 52065, 58468, 51088, 58468, 51107, 58468, 55383, 51184, 51672, 51029, 53214, 51022, 51039, 59210, 68568, 51410, 54433, 50913, 74668, 54553, 62730, 50994, 60399, 57578, 51231, 50976, 53649, 55011, 50953, 53933, 62730, 52492, 51007, 51328, 51327, 51029, 53198, 51022, 55208, 51310, 50801, 50907, 76730, 50848, 51199, 51410, 50802, 53491, 51022, 51180, 59210, 56206, 51182, 51432, 51231, 50802, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 54797, 69518, 50987, 51107, 51387, 51457, 50824, 54599, 56773, 51271, 50905, 76730, 51669, 56785, 50862, 51357, 51166, 53341, 51022, 52563, 51310, 50801, 59210, 51614, 68085, 51515, 51422, 51434, 52222, 51808, 52151, 58856, 52065, 52503, 51426, 52503, 51154, 52503, 51375, 52503, 55383, 51184, 51303, 51009, 51457, 50802, 53214, 51022, 51660, 51258, 61253, 51039, 59210, 52257, 50995, 66058, 51327, 54433, 50913, 74668, 54553, 62730, 50994, 60399, 54910, 56785, 50838, 51672, 50802, 53649, 55011, 51271, 54312, 62730, 52492, 63767, 50987, 50872, 50810, 51672, 51407, 53198, 55707, 51271, 51391, 50801, 50907, 76730, 59849, 51380, 50935, 50905, 52571, 50802, 53491, 51022, 51180, 59210, 56992, 51410, 50802, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 54910, 51412, 60179, 51303, 50802, 54599, 56773, 51271, 50873, 76730, 56992, 51231, 50802, 53341, 51022, 52563, 67839, 59210, 52043, 51243, 51607, 51243, 53160, 51391, 51149, 51212, 51299, 53055, 51301, 53055, 51088, 53055, 51093, 53055, 55383, 51184, 51249, 73072, 51660, 51922, 51434, 51293, 53214, 51022, 51039, 59210, 78005, 51476, 50976, 55618, 74668, 54553, 62730, 50994, 60399, 77558, 51465, 51066, 53649, 55011, 50953, 53959, 62730, 52492, 51149, 51233, 51672, 51029, 53198, 51022, 55208, 62328, 50907, 76730, 53160, 51391, 51266, 52059, 51465, 50976, 53491, 51022, 51180, 59210, 70687, 51301, 51884, 51231, 51059, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 57742, 51088, 51074, 51327, 67067, 53876, 51097, 54599, 56773, 50953, 50857, 76730, 56523, 51681, 50320, 50854, 51093, 51074, 53341, 51022, 52563, 62328, 59210, 52027, 68085, 51434, 51422, 51607, 52222, 52603, 52151, 78242, 51299, 53678, 51426, 53678, 51088, 53678, 51093, 53678, 55383, 51184, 51687, 51407, 51327, 50802, 53214, 51022, 51515, 51258, 51298, 50844, 51039, 59210, 53876, 50995, 65078, 51672, 54433, 50913, 74668, 54553, 62730, 50994, 60399, 58795, 59985, 50838, 51395, 52011, 51249, 50802, 53649, 55011, 50953, 53933, 62730, 52492, 50656, 50340, 50987, 77283, 51249, 51029, 53198, 51022, 55208, 51310, 50801, 50907, 76730, 63767, 51380, 51298, 77046, 51811, 52011, 53491, 51022, 51180, 59210, 56206, 51465, 50802, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 58795, 51412, 59995, 51304, 52011, 51231, 50976, 54599, 56773, 52018, 50905, 76730, 56206, 51981, 51795, 53341, 51022, 52563, 67839, 59210, 52769, 52204, 50988, 51391, 51007, 51212, 51251, 50363, 50412, 51357, 71620, 51107, 55586, 52690, 51029, 52571, 51029, 51410, 73072, 51088, 63712, 53214, 51022, 51614, 51717, 50419, 51808, 52204, 51039, 59210, 62587, 50421, 51669, 55392, 55618, 51022, 52257, 56515, 50425, 54910, 54249, 51768, 54553, 62730, 50994, 60399, 50935, 51008, 53649, 55011, 50953, 53959, 62730, 52492, 51007, 51233, 55383, 50976, 53198, 51022, 55208, 62328, 50907, 76730, 50988, 51391, 53655, 50976, 53491, 51022, 51180, 59210, 66397, 52690, 50976, 50445, 51558, 50907, 53721, 51022, 51955, 54553, 62730, 50994, 60399, 60331, 52571, 50976, 50451, 51384, 51000, 54599, 56773, 50953, 50857, 76730, 51007, 50854, 51384, 50941, 51410, 50802, 53341, 51022, 52563, 62328, 59210, 50988, 51318, 51007, 51101, 55383, 51184, 51231, 51352, 51672, 51352, 50415, 54294, 55490, 53214, 51022, 51039, 59210, 50848, 51470, 55618, 74668, 54553, 62730, 50994, 60399, 50935, 51008, 53649, 55011, 50953, 53309, 62730, 52492, 69776, 53198, 51022, 55208, 51542, 50801, 50907, 76730, 50988, 51448, 53491, 51022, 54141, 59754, 52492, 78430, 50445, 51669, 51477, 52612, 50367, 54395, 51955, 54553, 62730, 58290, 57798, 60399, 52257, 50981, 63833, 50453, 51553, 73105, 50456, 50953, 50942, 51895, 55801, 61451, 54910, 64108, 50874, 51231, 50976, 50459, 51224, 73105, 52563, 51241, 53360, 52054, 50372, 58102, 51614, 51445, 51669, 51662, 51808, 51445, 51434, 51151, 51007, 51109, 52065, 52988, 51088, 52988, 51107, 52440, 55383, 51009, 51410, 50824, 51672, 50824, 51921, 56642, 51039, 69292, 50848, 51233, 52111, 56642, 51768, 70921, 56206, 51107, 52528, 51457, 50802, 51999, 56642, 66962, 53243, 62730, 58102, 51007, 51212, 51672, 51029, 51981, 51029, 52224, 56642, 55208, 70812, 59754, 58102, 75548, 52690, 51009, 50439, 51384, 51466, 52260, 56642, 51180, 69292, 61204, 52283, 56642, 51955, 70921, 54797, 51681, 50318, 50977, 51558, 51466, 51457, 50993, 52145, 56642, 50456, 51271, 50845, 51895, 58102, 51669, 56238, 50836, 52215, 56642, 51231, 51066, 51327, 50993, 51457, 50993, 52563, 51241, 53360, 58102, 51660, 51330, 51434, 51312, 51607, 50995, 52043, 50932, 51149, 51109, 51299, 51703, 51301, 51703, 51088, 51703, 51093, 51703, 55383, 51009, 51921, 56642, 51039, 69292, 50868, 51233, 51818, 72356, 56642, 51457, 50803, 51768, 70921, 56206, 51465, 51407, 51327, 51407, 51999, 56642, 66962, 53243, 62730, 58102, 51660, 51447, 51434, 51127, 51607, 51148, 52043, 51535, 51149, 51212, 52224, 56642, 55208, 70812, 59754, 58102, 50868, 51380, 51299, 51703, 51301, 51703, 51088, 51703, 52690, 51009, 52260, 56642, 51180, 69292, 61204, 52283, 56642, 51955, 70921, 53876, 50878, 51149, 50977, 52145, 56642, 50456, 52018, 50845, 51895, 58102, 56523, 55305, 50836, 51327, 50803, 52215, 56642, 51457, 50803, 52563, 51241, 53360, 58102, 52806, 63309, 51614, 51518, 51944, 52071, 51440, 51714, 50946, 51043, 51251, 51922, 51491, 51922, 51113, 54171, 51107, 51922, 55383, 51009, 51719, 50802, 51457, 79363, 56642, 52745, 79511, 69292, 53335, 60069, 50866, 51457, 51029, 52287, 51029, 52111, 56642, 51768, 70921, 52807, 59232, 50925, 51999, 56642, 66962, 53243, 62730, 58102, 61371, 50977, 62081, 52224, 56642, 55208, 70812, 59754, 58102, 54910, 51312, 59027, 52690, 51009, 51249, 50802, 52948, 50802, 52260, 56642, 51180, 69292, 69946, 51600, 51753, 51818, 50976, 52283, 56642, 51955, 70921, 52807, 51203, 64178, 51113, 52011, 51457, 50802, 52145, 56642, 50456, 51011, 50845, 51895, 58102, 50944, 50810, 51107, 51387, 51672, 50824, 51457, 51184, 52215, 56642, 52563, 51191, 53360, 58102, 51614, 63309, 51434, 51518, 51808, 52071, 51669, 51714, 51007, 51109, 52065, 51922, 51251, 51922, 51088, 51922, 55383, 51009, 51921, 56642, 51660, 79511, 69292, 54797, 60871, 51233, 51410, 50802, 52111, 56642, 51768, 70921, 54910, 56238, 50844, 51231, 50802, 51999, 56642, 66962, 53243, 62730, 58102, 50656, 50339, 50977, 51007, 51212, 51672, 51300, 52224, 56642, 55208, 67839, 59754, 58102, 63767, 51312, 75548, 52690, 51009, 52260, 56642, 51180, 69292, 61204, 51558, 51753, 52283, 56642, 51955, 70921, 54910, 51203, 75734, 51107, 53161, 52145, 56642, 50456, 50953, 50862, 51895, 58102, 50847, 79164, 51387, 51672, 50802, 52215, 56642, 58124, 51295, 53360, 58102, 51669, 51313, 51808, 51313 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 7630, 14805, 6453, 9, 11098, 6, 657, 6, 8, 5, 1619, 4780, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 3459, 9590, 6, 6755, 12547, 6, 8, 21072, 6, 2351, 10, 33558, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 211, 6, 381, 6, 83, 6, 211, 6, 8, 381, 16331, 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 ]

[ 57211, 50791, 50883, 51544, 50883, 51570, 50883, 52320, 54944, 51069, 54319, 51205, 57326, 51069, 50854, 51034, 51494, 51203, 51119, 51124, 51275, 51377, 50927, 52589, 70411, 57900, 73628, 62456, 55133, 50927, 64868, 51041, 52641, 51213, 50873, 51762, 73508, 73905, 51429, 50914, 51275, 51134, 65344, 55389, 55135, 57974, 51468, 50441, 64864, 59491, 50846, 51618, 50846, 59696, 61252, 51069, 50917, 55347, 58010, 51041, 54579, 51096, 50959, 63032, 51429, 51377, 51275, 51377, 52070, 51363, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 64429, 51041, 53442, 53344, 50805, 51320, 50846, 51572, 52616, 51099, 51351, 51429, 51191, 51275, 51419, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 60908, 55347, 58010, 51041, 54579, 51271, 51373, 53855, 51494, 51363, 51119, 51221, 51275, 51400, 50927, 59488, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 63972, 51041, 53442, 51213, 50866, 51320, 50846, 51572, 52616, 51099, 50915, 51429, 50943, 51275, 50981, 78021, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 75740, 55347, 58010, 51041, 54579, 51096, 51049, 53855, 51429, 51025, 51275, 51346, 52070, 51363, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 57670, 51041, 53442, 53344, 50917, 51320, 50846, 51572, 52616, 51099, 51391, 51429, 50914, 51275, 51003, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 56880, 51041, 52761, 51205, 52189, 51041, 54579, 51069, 50897, 63032, 51494, 51411, 51119, 51377, 51275, 51400, 50927, 62809, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 67310, 51041, 53442, 51213, 50892, 51320, 50846, 51572, 52616, 51099, 51109, 51429, 51400, 51275, 50915, 74959, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 61002, 55347, 58010, 51041, 54579, 51096, 51420, 53855, 51429, 51480, 51275, 51267, 52070, 51775, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 63035, 51041, 53442, 53344, 50917, 51320, 50846, 51572, 52616, 51099, 50915, 51429, 51159, 51275, 50915, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 58972, 51041, 52761, 51205, 51582, 51041, 54579, 51069, 50833, 63032, 51494, 51363, 51119, 51377, 51275, 51025, 50927, 65958, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 59281, 51041, 53442, 51213, 50937, 51320, 50846, 51572, 52616, 51099, 51109, 51429, 51056, 51275, 51312, 77375, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 71376, 55347, 58010, 51041, 54579, 51096, 51049, 53855, 51429, 51363, 51275, 51400, 52070, 51363, 51205, 50830, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 62467, 51041, 53442, 53344, 50917, 51320, 50846, 51572, 52616, 51099, 50915, 51429, 50914, 51275, 50981, 56181, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51011, 59488, 51041, 58010, 51041, 54579, 51011, 51437, 53855, 51494, 64023, 51110, 51275, 51377, 70943, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 50927, 64868, 51041, 53442, 51213, 51058, 51320, 50846, 51572, 52616, 51099, 51056, 51429, 51162, 51275, 51109, 50953, 50977, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 75740, 55347, 58010, 51041, 54579, 51096, 50833, 63032, 51429, 51233, 51275, 51221, 52070, 51043, 51205, 50952, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 57670, 51041, 53442, 53344, 50849, 51320, 50846, 51572, 52616, 51099, 51134, 51429, 50943, 51275, 51134, 69399, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 58972, 51041, 52761, 51205, 51420, 51041, 54579, 51069, 50878, 63032, 51494, 50892, 51119, 50873, 51275, 51101, 50927, 62809, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 59281, 51041, 53442, 51213, 50873, 51320, 50846, 51572, 52616, 51099, 51267, 51429, 51162, 51275, 51267, 77375, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 61002, 55347, 58010, 51041, 54579, 51096, 51582, 53855, 51429, 51412, 51275, 51025, 52070, 51363, 51205, 50924, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 62467, 51041, 53442, 53344, 50849, 51320, 50846, 51572, 52616, 51099, 51003, 51429, 50889, 51275, 51003, 76008, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51011, 50845, 55347, 58010, 51041, 54579, 51271, 50840, 63032, 51494, 51233, 51119, 51178, 51275, 51203, 50927, 65958, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 64429, 51041, 53442, 51213, 50873, 51320, 50846, 51572, 52616, 51099, 51267, 51429, 51159, 51275, 50915, 65343, 55347, 64707, 51618, 52725, 51468, 51647, 52579, 55347, 79516, 77237, 59696, 61252, 51069, 62421, 51041, 52761, 51205, 53330, 51041, 54579, 51069, 50857, 63032, 51494, 51233, 51119, 51178, 51275, 51221, 50927, 55023, 74447, 51532, 50846, 51361, 50898, 54986, 50927, 56088, 51041, 53442, 51069, 53303, 50898, 55201, 51205, 50836, 74264, 50927, 52195, 55347, 50898, 55354, 51275, 50987, 60899, 51516, 50855, 51468, 50453, 52070, 51242, 52381, 51833, 52579, 55347, 51041, 54943, 71498, 52112, 51528, 52885, 55265, 51153, 51235, 51213, 51427, 50426, 51429, 50943, 50953, 51054, 51088, 51542, 51357, 51134, 51107, 66673, 52885, 64124, 50898, 55135, 55389, 53442, 59674, 51762, 51572, 53239, 58918, 55389, 50898, 50883, 51618, 53533, 50964, 51090, 51088, 70491, 51312, 51266, 51806, 51762, 51647, 50820, 51453, 51636, 77237, 59696, 55927, 74802, 52112, 51039, 51041, 55133, 51228, 50925, 55389, 53855, 78770, 51251, 51592, 51491, 51662, 51113, 51662, 51468, 51532, 72793, 50898, 55135, 50927, 54749, 50898, 52600, 71668, 51762, 51572, 52616, 51205, 60257, 51636, 50447, 55389, 53533, 73365, 51983, 51647, 50820, 51453, 50898, 50883, 77237, 51528, 55265, 67390, 51762, 51039, 50898, 55133, 68580, 51251, 50977, 51088, 50937, 51357, 51058, 55094, 51544, 50820, 51532, 72793, 51041, 55135, 51133, 51566, 51299, 50901, 51301, 50892, 51088, 66644, 50817, 51570, 67129, 68619, 50898, 55551, 51213, 51016, 51794, 51212, 51491, 51101, 51113, 71058, 52568, 51762, 51647, 50820, 51453, 51041, 56046, 51415, 51362, 52065, 51337, 51426, 51043, 51491, 72495, 50817, 50799, 51468, 51402, 61044, 68269, 53855, 51019, 51192, 52065, 50862, 51301, 50840, 51088, 53351, 54396, 51468, 51361, 64775, 50820, 51570, 52267, 51096, 50923, 52602, 50897, 51638, 51030, 53431, 53851, 55723, 51069, 51033, 53215, 50854, 51883, 53393, 51463, 50817, 52274, 51034, 51494, 64023, 51110, 51275, 51203, 50927, 54168, 70411, 57900, 73628, 62456, 55133, 50927, 56088, 51041, 52641, 51213, 50977, 51762, 73508, 51099, 51025, 51429, 51377, 51275, 51312, 75825, 55389, 55135, 57974, 51468, 50441, 64864, 59491, 50846, 51618, 50846, 59696, 61252, 69703, 55347, 58010, 51041, 54579, 77059, 63032, 51429, 51255, 51275, 51124, 52070, 51194, 51205, 51033, 55347, 50820, 51532, 50846, 51361, 50898, 54986, 51205, 59281, 51041, 53442, 53344, 50938, 51320, 50846, 51572, 52616, 69399, 55347, 64707, 51618, 52725, 51494, 50952, 51275, 50887, 51468, 51647, 52579, 51099, 50925, 51275, 56880, 51041, 79516, 77237 ]

[ 0, 250, 32076, 8, 15352, 30054, 5175, 19834, 37903, 6, 4246, 10, 6755, 12547, 6, 20535, 2810, 6, 5921, 3343, 1290, 642, 5255, 6, 1515, 21305, 6, 8, 38668, 20535, 6, 278, 11, 10, 1769, 20889, 8, 41, 5425, 112, 73, 398, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 980, 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, 50415, 52646, 50380, 54936, 65334, 51456, 55221, 52022, 50380, 53183, 59740, 51394, 50890, 52032, 50887, 57273, 50813, 71751, 50817, 52336, 50817, 51011, 64682, 65074, 61769, 52981, 53148, 51141, 51088, 51991, 51395, 51991, 51394, 51991, 52032, 51294, 50712, 50283, 51388, 52099, 51090, 64010, 50918, 71751, 51795, 52336, 51009, 74599, 64157, 52773, 51463, 58278, 51031, 50421, 50706, 50298, 60449, 51811, 50840, 51776, 51364, 50424, 51811, 50836, 52366, 51364, 55241, 51406, 52762, 51811, 65216, 51600, 50809, 51811, 50813, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50430, 51811, 53705, 51811, 50867, 55241, 53971, 51759, 59382, 51811, 63136, 51600, 50809, 51811, 50867, 52032, 51191, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 56270, 51811, 68167, 51600, 50809, 51811, 50904, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50442, 51811, 56069, 51600, 50809, 51811, 51128, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 56877, 51811, 79209, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 51491, 50910, 51107, 50910, 51284, 50910, 52196, 50952, 51648, 51033, 52578, 51033, 52002, 51033, 62986, 50823, 52067, 50823, 55241, 54131, 51187, 67152, 52432, 51154, 50858, 51488, 50858, 51600, 50809, 51629, 50858, 54541, 50859, 52541, 50859, 52425, 51033, 51713, 51033, 52747, 51033, 75229, 50803, 52264, 50811, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 50961, 50424, 51794, 50858, 51375, 50858, 51201, 50858, 51600, 50809, 56177, 50859, 51996, 50859, 52489, 51033, 52425, 51033, 51713, 51033, 56846, 50803, 71555, 55241, 50855, 74599, 64157, 50836, 59542, 54472, 51187, 67152, 77751, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 64223, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 55241, 51406, 53203, 53148, 51141, 51301, 51538, 51093, 51538, 51600, 50809, 51182, 51991, 51946, 51294, 50712, 50280, 51388, 54961, 51159, 51683, 51090, 64010, 50918, 58072, 51795, 51579, 51009, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 51031, 50421, 50712, 50286, 50802, 51963, 60449, 51888, 51364, 50424, 51776, 51364, 55241, 51406, 64015, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 51946, 51191, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 64223, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 51426, 50910, 51357, 50910, 51600, 50910, 53780, 50952, 52310, 51033, 52099, 51033, 52578, 51033, 69419, 50823, 52314, 50823, 55241, 54131, 51187, 67152, 52432, 51251, 50858, 51165, 50858, 51201, 50858, 51600, 50809, 54277, 50859, 51996, 50859, 51906, 51033, 51648, 51033, 51713, 51033, 56846, 50803, 71555, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 50961, 50424, 51638, 50858, 51154, 50858, 75352, 56708, 50859, 52665, 50859, 52103, 51033, 51906, 51033, 51648, 51033, 55749, 50803, 51485, 50811, 55241, 50855, 74599, 64157, 50836, 59542, 54472, 51187, 67152, 77751, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52716, 55089, 64223, 55241, 51406, 64314, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61014, 51600, 50809, 55241, 50833, 74599, 64157, 50809, 59542, 52773, 51759, 65493, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 51809, 55241, 51406, 53203, 53148, 51077, 51794, 51538, 51113, 51538, 51266, 51991, 51600, 50809, 53064, 51294, 50712, 50286, 50802, 50712, 50277, 51388, 54961, 51159, 51913, 51090, 52425, 51364, 51888, 51364, 64010, 50918, 57089, 51795, 51744, 51009, 55241, 50855, 74599, 64157, 50809, 59542, 52773, 51463, 58278, 51031, 50421, 52851, 75800, 55241, 51406, 64015, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61814, 55241, 53971, 51759, 65925, 51600, 50809, 53064, 51191, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 51471, 50440, 51600, 50809, 55241, 50855, 51213, 50880, 64157, 50836, 59542, 50836, 61974, 52830, 51077, 51600, 50809, 55596, 50833, 64048, 50713, 50284, 50809, 59585, 52716, 55089, 64223, 55596, 51406, 64314, 51600, 50809, 55596, 50855, 51019, 50880, 50713, 50284, 50836, 59585, 50836, 61014, 51600, 50809, 55596, 50833, 64048, 50713, 50284, 50809, 59585, 52773, 51759, 65493, 51600, 50809, 55596, 50855, 51019, 50880, 50713, 50284, 50836, 59585, 50836, 51471, 51809, 51299, 50910, 51375, 50910, 51395, 50910, 52695, 50952, 52489, 51033, 51683, 51033, 52099, 51033, 61716, 50823, 51641, 50823, 55596, 54131, 51187, 67152, 52432, 52065, 51977, 51088, 54527, 51107, 54484, 52665, 54454, 51963, 52282, 52310, 52266, 51648, 55362, 55749, 51300, 51485, 51059, 58259, 50952, 63166, 69490, 50830, 51335, 56545, 51463, 58278, 50961, 50424, 50660, 50353, 50846, 51778, 50952, 51415, 50823, 79588, 75027, 50660, 50352, 65416, 53682, 54454, 50945, 51685, 67023, 51413, 50430, 73038, 53593, 50660, 50354, 53418, 50660, 50355, 59673, 50660, 50351, 53035, 50660, 50350, 63317, 50660, 50354, 53685, 79916, 54814, 50660, 50356, 50846, 51809, 50660, 50353, 53829, 73038, 58158, 50660, 50355, 58235, 50660, 50352, 53855, 50660, 50353, 54660, 50660, 50355, 50846, 73038, 58406, 50660, 50351, 60631, 50660, 50352, 56484, 50660, 50356, 62738, 73038, 52878, 50660, 50353, 50846, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 5175, 37903, 11, 2060, 538, 1575, 38668, 3038, 6, 21072, 6, 17691, 28430, 6, 38668, 20535, 6, 8, 842, 1671, 1688, 4428, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 19, 10, 11602, 9, 2365, 1007, 4, 8504, 11, 204, 73, 306, 86, 8, 1375, 23, 41, 12447, 1001, 20889, 6, 24, 18, 10, 4315, 53, 20902, 2125, 14, 7630, 6568, 10, 1472, 9, 3366, 219, 9743, 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 ]

[ 56236, 50722, 50283, 51012, 76052, 50846, 50747, 50336, 50883, 52804, 52220, 57900, 56439, 50372, 55958, 52445, 50415, 67023, 58671, 76052, 50836, 50747, 50338, 52628, 50722, 50285, 50858, 76052, 51309, 50747, 50336, 51095, 52804, 51031, 67023, 51173, 50856, 54697, 53899, 50856, 61288, 52804, 52220, 53864, 50368, 51586, 52925, 52804, 50883, 67023, 55509, 53864, 53940, 56544, 54288, 52804, 56153, 73804, 54728, 50722, 50288, 53235, 53349, 50366, 52272, 59138, 50722, 50291, 50950, 52804, 61654, 52616, 50722, 50292, 50844, 67023, 51192, 50856, 54697, 59279, 50722, 50291, 51653, 50447, 52804, 54973, 50362, 51657, 52725, 52804, 53662, 56500, 50363, 52272, 59835, 53857, 52485, 50722, 50288, 50880, 71859, 50855, 54888, 53850, 56129, 55454, 62264, 55263, 54625, 73872, 50836, 79475, 50827, 53857, 56715, 55811, 50799, 50722, 50283, 51138, 50747, 50331, 50880, 67023, 50882, 52804, 52220, 57226, 53857, 53113, 50722, 50285, 51010, 73872, 50858, 67023, 51192, 52804, 51663, 54697, 54104, 53857, 55328, 52514, 50426, 71859, 50887, 52804, 51670, 59539, 65350, 52804, 51031, 67023, 73256, 53637, 54121, 56802, 78852, 58970, 52804, 56332, 60290, 50362, 51586, 64359, 50722, 50288, 50894, 67350, 55395, 50722, 50291, 51520, 51559, 76665, 52134, 50441, 52804, 58611, 56122, 53044, 50722, 50292, 50890, 67023, 51388, 50773, 50316, 57737, 58364, 54525, 52804, 52279, 55476, 55567, 50363, 51657, 53068, 50722, 50291, 50975, 53857, 53662, 50933, 51895, 51024, 50361, 52272, 58759, 54888, 51031, 50773, 50312, 55717, 53268, 53857, 54332, 54996, 53864, 53637, 55959, 69484, 57400, 79475, 50827, 52804, 51663, 52835, 50799, 50722, 50283, 51030, 76052, 50884, 50747, 50336, 50961, 67023, 50894, 53857, 50821, 79151, 51520, 56241, 51851, 50417, 76052, 50887, 50747, 50338, 50883, 52804, 53213, 50722, 50285, 50962, 76052, 51203, 50747, 50336, 51162, 67023, 51286, 53857, 54046, 63259, 53744, 50856, 72769, 52804, 51670, 52995, 79974, 52804, 50949, 67023, 54567, 62264, 55410, 54487, 52804, 61274, 50363, 51369, 54077, 50722, 50288, 53235, 52995, 50361, 52638, 59356, 50722, 50291, 50894, 52804, 55717, 53044, 50722, 50292, 50971, 67023, 71541, 55942, 58364, 56233, 61794, 50722, 50291, 70048, 52804, 51695, 70029, 50359, 52638, 54185, 52804, 55719, 53340, 59121, 50364, 51372, 54859, 53857, 56332, 53007, 50722, 50288, 50962, 54888, 53479, 53612, 58364, 54625, 53857, 53662, 56162, 53024, 50799, 50722, 50283, 51138, 50747, 50331, 50890, 67023, 50950, 52804, 52220, 59991, 73872, 50833, 53857, 55446, 50722, 50285, 51010, 71859, 50862, 52804, 50811, 67023, 51286, 50856, 53637, 54104, 50856, 72769, 78852, 50880, 52804, 52220, 52995, 79974, 67350, 50859, 67023, 50858, 52804, 54973, 54697, 54966, 53908, 78852, 50858, 52804, 61151, 50364, 51613, 63136, 50722, 50288, 55734, 50722, 50291, 51520, 56500, 51851, 50441, 67350, 50808, 52804, 54756, 63610, 67023, 51354, 50444, 50722, 50292, 50890, 50773, 50316, 54046, 58364, 57854, 61595, 73123, 52804, 54046, 79912, 53068, 50722, 50291, 50975, 53857, 54451, 55836, 50366, 51586, 58345, 54888, 50817, 50773, 50312, 56580, 53211, 53857, 53662, 80120, 52995, 53637, 56233, 54794, 52804, 51670, 54049, 50361, 51087, 50813, 50799, 50722, 50285, 51021, 53367, 50880, 50773, 50311, 51520, 56241, 50363, 52272, 57780, 52804, 50818, 52464, 55717, 53227, 50722, 50287, 50950, 53367, 54046, 54697, 55263, 78410, 58362, 50856, 50361, 51765, 57203, 52464, 52220, 53434, 55942, 50364, 51657, 54215, 77992, 50822, 52464, 51695, 55567, 63737, 54487, 52464, 56332, 71015, 51258, 50436, 76052, 53813, 50722, 50291, 53056, 51467, 51297, 50439, 77992, 57108, 50722, 50293, 50894, 52464, 52625, 59144, 50747, 50338, 55489, 79046, 55892, 58364, 55685, 50722, 50293, 51460, 50447, 77992, 50800, 52464, 51663, 58547, 52464, 55719, 56500, 51851, 50453, 76052, 52485, 50722, 50291, 50930, 77992, 50890, 53367, 50880, 52804, 51463, 53349, 58364, 55410, 54625, 53367, 54451, 55921, 50363, 51586, 50864, 50799, 50722, 50285, 51021, 52464, 51670, 56700, 50358, 51433, 60209, 53367, 60689, 53403, 50722, 50287, 50950, 52464, 52702, 50361, 50919, 54697, 54763, 50375, 53047, 55375, 50856, 50361, 51433, 51904, 50606, 55124, 52464, 51670, 53110, 50363, 51657, 52925, 52464, 51663, 54697, 54487, 52464, 61151, 52134, 50438, 50722, 50291, 52220, 56500, 55003, 50440, 50722, 50293, 61184, 52464, 60681, 79046, 52616, 50722, 50291, 54046, 54697, 55773, 60886, 50722, 50293, 61970, 52464, 57737, 51851, 50448, 79046, 53595, 50722, 50293, 50976, 52464, 55146, 56500, 50364, 51613, 53922, 53367, 65547, 54199, 52804, 54906, 71339, 53612, 63737, 59003, 57023, 53367, 56690, 59220, 50363, 51586, 50834, 50799, 50722, 50285, 51021, 52464, 51670, 51467, 50373, 52526, 61605, 50359, 51117, 58671, 53367, 51156, 61141, 55105, 50722, 50287, 50950, 52464, 51670, 59121, 53637, 54763, 62142, 63416, 77992, 52296, 50856, 66621, 50375, 53047, 51123, 50424, 76052, 54818, 52464, 51670, 50862, 51895, 51259, 50365, 52272, 64644, 77992, 54937, 50747, 50338, 50890, 52464, 57737, 58364, 54763, 56233, 57869, 77992, 50859, 52464, 61274, 50364, 52272, 53945, 50722, 50291, 53056, 52995, 50364, 51657, 55218, 50722, 50293, 50894, 76052, 50858, 52464, 55717, 54305, 79046, 55892, 58364, 59003, 61334, 50722, 50293, 51603, 77992, 56762, 52464, 51663, 60140, 53057, 52464, 55719, 56500, 50367, 51657, 58345, 53367, 50385, 52272, 54481, 50722, 50291, 50930, 52804, 52279, 53864, 62264, 56233, 54359, 53367, 53579, 55892, 50363, 51657, 50867, 50799, 50722, 50285, 51021, 52464, 51670, 59295, 50366, 52272, 60209, 53367, 62073, 53403, 50722, 50287, 50894, 52464, 54046, 53637, 55410, 56037, 50856, 50363, 52272, 53803, 52464, 51670, 52995, 50366, 51372, 53943, 51170, 53705, 52464, 50961, 50773, 50314, 52220, 58272, 60290, 54697, 59003, 56030, 50722, 50291, 50882, 52464, 50930, 50773, 50314, 52279, 54996, 59220, 50363, 51613, 52766, 50722, 50293, 56701, 50864, 52352, 51259, 71516, 59138, 79046, 50810, 52464, 50811, 50773, 50314, 52279, 50844, 70912, 53524, 50722, 50293, 51505, 51326, 55147, 60526, 53940, 55773, 54028, 52464, 50817, 50773, 50314, 51463, 51559, 61212, 54071, 51240, 54086, 50722, 50291, 50923, 52464, 50962, 50773, 50314, 52279, 55309, 58016, 50862, 54710, 55370, 50722, 50293, 50811, 71859, 51215, 52464, 51010, 52197, 50961, 50773, 50314, 52279, 51467, 56162, 54697, 54966, 57023, 50856, 51851, 50799, 50722, 50283, 51012, 76052, 50839, 50747, 50336, 50846, 52804, 50811, 50773, 50308, 50820, 79151, 51520, 53833, 61819, 67912, 51126, 50415, 50747, 50331, 51469, 50417, 76052, 50809, 50747, 50336, 50841, 50747, 50338, 50890, 53857, 55180, 50722, 50285, 50858, 76052, 51481, 50747, 50336, 51101, 52804, 51663, 54697, 53744, 50856, 73274, 52804, 51670, 52995, 51252, 50427, 53231, 75925, 52804, 54973, 54697, 54121, 54966, 54034, 52804, 61151, 54887, 51236, 54728, 50722, 50288, 53235, 50378, 52272, 57917, 50722, 50291, 50950, 52804, 55364, 54247, 50722, 50292, 53948, 75792, 54493, 53637, 55685, 50722, 50291, 51653, 50447, 52804, 54501, 71015, 50363, 51657, 52725, 52804, 51670, 50862, 71891, 50364, 52638, 56366, 53857, 55137, 53217, 50722, 50288, 50880, 54888, 53893, 52995, 53637, 56128, 54625, 53857, 53690, 55651, 61212, 52134, 50799, 50722, 50283, 51138, 50747, 50331 ]

[ 0, 250, 2635, 12, 20764, 15855, 2125, 14, 115, 1807, 25, 10, 5386, 822, 19834, 6, 4246, 41, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 2342, 4467, 6, 17691, 28430, 6, 8, 1515, 21305, 4, 23973, 11, 231, 73, 398, 86, 8, 278, 11, 5, 762, 9, 12608, 538, 6, 24, 7630, 6568, 10, 1472, 9, 9066, 26545, 149, 63, 20058, 33215, 16739, 9, 274, 406, 6, 272, 119, 401, 6, 83, 406, 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 ]

[ 51540, 50622, 59861, 52731, 50420, 55228, 52192, 50426, 53715, 52192, 50432, 54969, 51824, 50438, 52650, 53957, 50450, 59861, 52192, 50456, 55228, 51824, 50462, 53715, 51824, 50468, 54969, 51470, 50474, 52182, 50981, 52650, 54836, 51540, 51752, 51047, 59861, 51824, 50420, 55228, 51824, 50426, 53715, 65252, 54969, 71552, 52161, 51003, 52650, 52378, 50450, 56265, 52192, 50451, 51565, 51127, 50456, 53715, 51824, 50462, 54969, 51824, 50468, 52650, 51470, 50474, 51673, 50889, 52566, 54836, 51540, 52480, 50983, 59862, 51824, 50420, 54969, 51824, 50426, 52650, 65252, 51886, 51158, 52566, 71552, 51673, 51013, 54254, 52048, 50450, 51886, 51336, 56265, 52782, 50456, 53472, 52192, 50462, 52650, 51824, 50468, 53267, 51470, 50474, 51565, 51358, 52697, 52378, 51540, 63950, 51376, 52481, 52519, 50420, 56265, 74907, 52650, 52378, 51165, 51576, 51638, 51380, 51426, 52056, 50431, 51606, 51060, 50437, 51154, 52188, 51299, 57937, 51686, 50889, 53118, 52378, 51113, 52188, 50449, 51565, 64712, 63950, 51376, 52481, 52136, 50456, 56265, 51376, 50460, 51426, 51108, 50461, 51638, 50932, 50462, 52650, 52378, 51165, 52188, 50468, 51606, 51100, 50473, 51154, 50838, 50474, 53118, 52378, 51113, 52188, 51299, 51108, 50475, 51686, 50914, 51540, 51565, 51307, 70164, 51376, 51357, 52188, 51699, 52011, 51251, 50932, 51088, 50932, 52776, 51447, 50420, 60131, 74907, 55228, 76103, 57215, 71113, 53472, 73505, 52650, 73380, 54029, 52378, 50473, 52182, 51419, 51540, 51752, 51145, 59861, 52731, 51299, 51637, 50420, 55228, 52192, 50426, 53715, 51824, 50432, 54969, 71552, 52161, 51003, 52650, 53957, 50450, 51565, 51103, 56265, 51824, 51638, 51283, 50456, 52650, 51824, 50462, 53715, 51470, 50468, 54969, 51470, 50473, 51827, 59369, 52650, 52048, 51540, 52604, 51364, 59862, 51470, 52316, 51477, 50420, 56837, 65933, 53118, 76103, 51673, 50795, 53267, 70448, 51827, 50807, 54361, 78814, 51673, 51077, 55228, 51006, 51699, 51318, 50456, 53715, 51006, 50462, 53748, 51006, 50468, 52650, 51006, 50474, 51752, 51591, 52566, 51484, 51165, 52011, 51540, 56456, 51006, 51887, 51535, 51113, 52212, 50420, 53715, 57104, 54969, 51283, 51426, 53957, 51299, 51097, 50427, 51426, 52996, 50432, 52202, 51121, 50437, 51375, 52063, 51426, 61417, 51596, 51003, 51375, 52048, 51375, 67303, 51752, 51295, 55228, 51006, 52776, 52519, 51088, 51490, 50451, 51699, 51448, 50456, 53472, 51006, 50462, 53118, 51283, 51154, 52378, 51154, 52056, 51251, 51466, 50468, 52202, 51101, 50473, 51088, 51753, 50474, 52161, 50981, 51088, 52188, 51154, 54211, 50475, 51357, 51330, 51540, 59861, 51174, 51088, 51576, 51088, 51108, 52143, 51310, 50415, 51752, 51313, 51426, 55574, 52143, 51878, 51093, 51671, 50420, 55228, 69925, 54969, 65948, 53715, 70448, 54969, 71892, 52650, 67042, 59861, 68987, 55228, 51254, 50462, 54969, 51254, 50468, 53715, 51254, 50474, 52650, 51576, 51088, 51542, 51540, 59861, 51174, 50415, 51752, 52528, 51093, 78374, 55228, 60316, 53715, 66255, 54969, 68112, 52650, 51576, 51395, 50995, 50449, 51182, 77307, 52315, 52528, 56265, 70347, 53715, 51174, 50462, 54969, 51254, 50468, 52650, 51254, 50474, 52566, 52188, 51304, 50915, 51540, 52155, 52916, 55039, 51254, 51811, 71215, 54969, 69925, 52650, 51470, 50431, 51384, 54777, 52566, 71552, 54254, 52048, 51304, 57197, 52315, 51703, 56265, 51006, 51384, 51127, 50456, 53472, 51006, 50462, 52650, 51470, 50468, 53267, 51470, 50474, 52697, 52048, 51182, 51591, 51540, 63950, 51006, 50415, 52481, 62976, 56265, 57104, 52315, 50867, 54649, 51097, 53453, 52025, 52650, 52188, 50432, 51201, 51121, 50437, 52155, 52766, 52714, 51253, 52915, 54836, 53118, 52188, 51284, 50943, 50449, 52481, 77307, 63950, 51006, 51182, 51295, 50456, 56265, 51006, 50460, 53453, 52025, 50461, 52315, 50867, 54649, 51134, 50462, 52650, 51576, 50468, 51201, 51177, 50473, 52155, 50829, 52915, 52025, 50474, 52714, 50981, 53118, 51576, 50475, 51284, 51003, 51540, 52202, 51253, 52278, 50995, 53013, 53697, 70164, 51824, 52776, 51218, 52776, 51535, 51182, 64691, 60131, 65933, 55228, 76103, 57215, 70448, 53472, 69655, 52650, 64533, 54029, 52378, 50462, 51088, 51333, 50474, 52182, 51480, 51088, 52048, 51154, 51108, 51540, 59861, 51824, 51426, 51381, 51299, 51047, 51093, 51447, 51299, 51662, 50415, 51752, 62976, 55228, 51824, 50426, 53715, 65252, 54969, 51376, 50437, 52161, 56389, 52650, 56615, 51395, 51097, 50448, 51638, 51145, 50449, 51565, 66563, 56265, 51824, 51182, 51145, 51638, 51592, 50456, 52650, 51824, 50462, 53715, 51470, 50468, 54969, 51376, 50473, 51827, 50807, 51394, 50943, 50474, 52650, 53957, 51540, 52604, 51364, 59862, 51470, 51488, 51218, 51905, 51218, 52316, 51148, 52316, 52140, 50420, 56837, 74907, 53118, 51376, 50431, 51673, 62109, 53267, 52192, 51093, 54233, 51827, 51159, 54361, 54836, 51165, 50943, 50449, 51673, 51218, 51699, 51244, 50450, 55228, 51006, 51093, 51127, 51699, 52431, 50456, 53715, 51006, 50462, 53748, 51006, 50468, 53267, 52192, 50474, 51752, 51790, 52566, 56615, 51165, 50914, 51540, 56456, 51470, 52907, 51127, 51113, 51145, 50415, 51887, 51627, 50420, 53715, 74907, 54969, 52136, 51426, 51333, 51299, 51108, 50431, 52202, 50892, 50437, 51596, 50981, 51375, 56692, 51426, 51709, 51375, 51108, 50449, 51752, 51318, 51699, 51080, 52776, 51047, 51088, 77307, 55228, 77403, 53472, 51470, 50461, 51154, 51108, 51251, 51961, 50462, 53118, 52136, 50467, 52202, 51328, 50473, 51154, 51074, 51088, 51797, 50474, 52161, 51097, 51357, 50995, 51540, 51752, 51243, 59861, 52192, 51088, 51330, 52143, 51535, 52143, 51314, 51093, 51243, 50415, 51426, 74606, 55228, 52192, 50426, 54969, 52192, 50432, 53715, 51824, 50438, 54969, 51824, 50444, 52650, 51824, 50450, 59861, 51824, 50456, 55228, 51470, 50462, 53748, 51470, 50468, 53715, 51470, 50474, 53748, 51376, 50480, 52650, 51376, 51540, 52566, 52378, 51266, 51295, 51088, 51080, 51883, 52431, 51093, 53413, 50432, 51093, 53264, 51107, 78024, 51491, 50932, 50449, 51395, 51310, 52316, 52140, 50451, 51154, 51080, 50467, 51201, 50905, 50473, 51600, 51097, 50474, 51426, 51108, 51540, 51182, 51477, 52602, 51103, 51165, 51080, 51251, 52140, 51638, 53849, 50431, 51629, 51277, 50437, 51375, 61417, 51394, 51108, 50449, 52481, 51592, 50450, 51426, 51965, 51304, 51314, 54480, 51127, 51088, 53849, 50467, 51251, 51884, 50473, 51182, 51376, 51794, 51333, 51540, 51395, 51115, 51299, 51490, 51883, 51592, 50432, 51093, 72759, 51088, 51097, 51107, 57105, 51154, 51080, 52316, 51939, 50451, 51395, 51391, 51093, 51662, 50467, 51201, 51242, 50473, 51600, 51253, 50474, 51426, 51330, 51540, 51251, 51283, 51182, 51477, 51699, 51047, 51699, 54143, 50415, 51357, 51477, 50431, 51093, 50974, 51426, 51481, 50432, 51284, 56298, 51154, 51108, 51107, 51097, 50439, 51558, 51380, 50449, 51093, 51592, 50450, 52143, 51148, 51304, 51080, 51426, 52431, 50451, 52143, 51803, 51540, 52882, 51965, 56848, 52903, 51266, 51283, 51088, 51080, 51883, 51662, 53506, 61489, 50431, 51093, 75925, 52795, 51481, 50437, 51491, 51108, 51107, 51097, 50439, 52494, 58959, 53042, 51283, 51395, 51477, 51154, 51314, 50451, 52316, 51677, 50467, 52307, 51242, 51201, 51328, 50473, 51600, 51097, 50474, 53839, 50995, 51426, 51330, 51540, 52203, 51310, 51900, 52528, 55705, 51127, 51182, 51080, 51251, 52431, 51638, 51677, 50415 ]

[ 0, 713, 748, 1879, 15525, 5175, 2214, 11, 163, 3694, 1575, 10, 13305, 816, 15352, 30054, 2301, 81, 10, 19983, 33215, 16739, 9, 274, 10431, 6, 381, 6, 8, 211, 4, 590, 10, 20889, 9, 24646, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 41, 20425, 648, 2829, 2933, 5466, 6, 442, 24, 10686, 13, 304, 11, 3541, 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 ]

[ 59626, 51220, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 51220, 51646, 51062, 51918, 51220, 51798, 51062, 51923, 51027, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61766, 51086, 58218, 51220, 58443, 51086, 50830, 51220, 54930, 67986, 50447, 50999, 58760, 58276, 51027, 54093, 51399, 50800, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 51220, 51646, 51062, 51918, 51220, 51798, 51062, 51923, 51027, 50795, 66302, 61000, 51086, 58218, 51114, 61690, 51086, 50830, 50973, 51646, 51220, 62478, 51086, 58726, 51114, 59592, 51086, 50830, 50973, 50795, 66302, 61766, 51086, 58218, 51220, 58443, 51086, 50830, 51220, 54930, 67986, 50447, 50999, 58760, 58276, 51027, 54093, 51399, 50800, 50796, 50796, 50796, 50796, 57126, 50800, 68631, 51787, 70419, 55728, 51114, 51835, 57213, 51086, 68339, 53471, 50899, 50800, 61783, 51146, 51620, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 68339, 53505, 50973, 51724, 68631, 51324, 54789, 51114, 51820, 57213, 51086, 68339, 53658, 50973, 51757, 68631, 51324, 55000, 51114, 51754, 57213, 51086, 68339, 54093, 61783, 50799, 58276, 51279, 55728, 50999, 51835, 57213, 51027, 66843, 53471, 50973, 51620, 58276, 51279, 54253, 50999, 51628, 57213, 51027, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 54789, 50951, 51820, 57213, 51026, 62352, 53658, 50899, 50800, 61783, 51146, 51757, 60003, 51214, 55000, 50951, 51754, 51086, 50800, 57213, 51220, 67027, 62352, 54093, 61783, 57126, 50800, 68631, 51787, 70419, 55728, 51114, 51835, 57213, 51086, 68339, 53471, 50899, 50800, 61783, 51146, 51620, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 68339, 53505, 50973, 51724, 68631, 51324, 54789, 51114, 51820, 57213, 51086, 68339, 53658, 50973, 51757, 68631, 51324, 55000, 51114, 51754, 57213, 51086, 68339, 54093, 61783, 50799, 58276, 51120, 55728, 50999, 51835, 57213, 50899, 56931, 53471, 50973, 51620, 58276, 51120, 54253, 50999, 51628, 57213, 50899, 56931, 53505, 50973, 51724, 51086, 50800, 73578, 73578, 51315, 54789, 51220, 51820, 57213, 50916, 57341, 53658, 50899, 50800, 61783, 51146, 51757, 73578, 51315, 55000, 51220, 51754, 57031, 57213, 51487, 59065, 57341, 54093, 61783, 57126, 50800, 68631, 51787, 70419, 55728, 51114, 51835, 57213, 51086, 68339, 53471, 50899, 50800, 61783, 51146, 51620, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 68339, 53505, 50973, 51724, 68631, 51324, 54789, 51114, 51820, 57213, 51086, 68339, 53658, 50973, 51757, 68631, 51324, 55000, 51114, 51754, 57213, 51086, 68339, 54093, 61783, 50799, 58276, 51279, 55728, 50999, 51835, 57213, 51027, 66843, 53471, 50973, 51620, 58276, 51279, 54253, 50999, 51628, 57213, 51027, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 54789, 50951, 51820, 57213, 51026, 62352, 53658, 50899, 50800, 61783, 51146, 51757, 60003, 51214, 55000, 50951, 51754, 51086, 50800, 57213, 51220, 67027, 62352, 54093, 61783, 57542, 50800, 60003, 51220, 53504, 50951, 51835, 57213, 51086, 53471, 50899, 50800, 61783, 51146, 51620, 50951, 52765, 50951, 51628, 57031, 57213, 51487, 75008, 53505, 50973, 51724, 50951, 52831, 50951, 51820, 51086, 50800, 57213, 73578, 51040, 53658, 50973, 51757, 50899, 50800, 60003, 51146, 52809, 50951, 51754, 57031, 57213, 51487, 77099, 54093, 61783, 57126, 50800, 68631, 51787, 53504, 51114, 51835, 57213, 50899, 53471, 51040, 50800, 57579, 51399, 51620, 51114, 52765, 51114, 51628, 51027, 50800, 57213, 58276, 50899, 53505, 50877, 51724, 50968, 52831, 50968, 51820, 51027, 50800, 67243, 58276, 51040, 53658, 50877, 51757, 51040, 50800, 61097, 51399, 52809, 50968, 51754, 68134, 67243, 51430, 75008, 54093, 57579, 57126, 50800, 68631, 51787, 70419, 66107, 55177, 50417, 51114, 51835, 57213, 51086, 53106, 51086, 68339, 53471, 50899, 50800, 61783, 69784, 51114, 55177, 50426, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 53106, 51086, 68339, 56190, 76366, 50973, 51724, 68631, 51086, 58576, 51324, 54789, 50973, 50359, 50826, 50322, 51820, 50973, 50359, 50826, 50318, 75008, 68339, 53658, 61783, 51114, 55084, 50450, 68631, 51324, 66107, 57826, 50453, 51114, 51754, 57213, 51086, 68339, 67026, 57826, 50459, 61783, 54852, 50800, 58276, 51814, 67858, 74213, 50359, 50398, 79578, 51835, 57213, 51027, 58576, 51027, 66843, 53471, 68134, 61783, 51430, 79594, 78407, 50426, 58276, 51027, 58576, 51279, 54253, 50999, 51628, 51040, 50800, 57213, 51399, 79594, 50359, 50842, 50301, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 66107, 50359, 50398, 50441, 50951, 51820, 57213, 51026, 58576, 51026, 62352, 53658, 50899, 50800, 61783, 69784, 50951, 50359, 50397, 50450, 60003, 51026, 58576, 51214, 55000, 50951, 51754, 51086, 50800, 57213, 51220, 67027, 62352, 57022, 57826, 50459, 61783, 57126, 50800, 68631, 51787, 70419, 66107, 50359, 50398, 50417, 51114, 51835, 57213, 51086, 58576, 51086, 68339, 53471, 50899, 50800, 61783, 69784, 51114, 50359, 50398, 50426, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 58576, 51086, 68339, 56190, 57826, 50435, 50973, 51724, 68631, 51086, 58576, 51324, 54789, 50973, 50359, 50826, 50322, 51820, 50973, 67022, 50318, 75008, 68339, 53658, 61783, 51114, 52794, 50450, 68631, 51324, 66107, 54691, 50453, 51114, 51754, 57213, 51086, 68339, 67026, 54691, 50459, 61783, 54852, 50800, 58276, 51814, 50800, 51120, 74213, 74553, 79578, 51835, 57213, 50899, 56373, 50899, 56931, 53471, 68134, 61783, 51430, 79594, 72464, 50426, 58276, 50899, 56373, 51120, 54253, 50999, 51628, 51040, 50800, 57213, 51399, 79594, 50360, 50842, 50306, 56931, 53505, 50973, 51724, 51086, 50800, 73578, 73578, 51315, 66107, 72464, 50441, 51220, 51820, 57213, 50916, 56373, 50916, 57341, 53658, 50899, 50800, 61783, 69784, 51220, 72464, 50450, 51220, 59065, 56373, 51315, 55000, 51220, 51754, 51220, 67022, 50311, 50800, 57213, 51487, 59065, 57341, 54093, 51399, 67022, 50315, 50800, 57126, 50800, 68631, 51787, 70419, 66107, 63070, 50417, 51114, 51835, 57213, 51086, 56373, 51086, 68339, 53471, 50899, 50800, 61783, 69784, 51114, 63070, 50426, 68631, 51324, 54253, 51114, 51628, 51086, 50800, 57213, 73578, 51086, 56373, 51086, 68339, 56190, 54691, 50435, 50973, 51724, 68631, 51086, 56373, 51324, 54789, 50973, 67022, 50322, 51820, 50973, 67022, 50318, 75008, 68339, 53658, 61783, 51114, 52462, 50450, 68631, 51324, 66107, 53306, 50453, 51114, 51754, 57213, 51086, 68339, 67026, 53306, 50459, 61783, 54852, 50800, 58276, 51814, 67858, 74213, 65988, 79578, 51835, 57213, 51027, 54618, 51027, 66843, 53471, 68134, 61783, 51430, 79594, 65330, 50426, 58276, 51027, 54618, 51279, 54253, 50999, 51628, 51040, 50800, 57213, 51399, 79594, 50361, 50842, 50301, 66843, 53505, 50973, 51724, 57031, 60003, 51487, 50800, 51214, 66107, 65988, 50441, 50951, 51820, 57213, 51026, 54618, 51026, 62352 ]

[ 0, 250, 5679, 26709, 8, 19448, 25771, 2214, 19, 4785, 9, 1365, 6288, 6, 4246, 10, 16867, 6, 30062, 620, 7085, 12280, 642, 6, 6168, 3540, 6, 8, 38668, 11212, 4, 20, 33301, 30853, 5764, 11, 211, 3694, 23, 3620, 13410, 228, 2289, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 83, 6, 211, 6, 83, 6, 8, 381, 3639, 41, 3722, 5581, 7, 42, 822, 12, 3341, 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 ]

[ 57528, 66243, 60131, 51103, 60131, 51103, 50435, 55039, 51397, 55039, 51397, 50438, 53472, 50917, 53472, 50917, 50442, 55052, 50925, 55052, 50925, 50445, 52650, 51162, 52650, 51162, 50455, 55052, 51212, 55052, 51212, 50459, 60131, 50918, 60131, 50918, 50461, 55039, 51472, 55039, 51472, 52177, 53472, 50910, 53472, 62714, 55052, 50925, 55052, 65647, 52650, 51267, 52650, 51267, 50433, 55052, 51233, 55052, 51233, 50437, 60131, 51077, 60131, 51077, 50440, 55039, 51291, 55039, 51291, 50443, 53472, 50866, 53472, 59957, 55052, 50959, 55052, 50959, 50451, 52650, 51363, 52650, 51363, 50459, 55052, 51121, 55052, 51121, 51601, 60131, 51336, 60131, 51336, 50418, 55039, 51472, 55039, 51472, 50421, 53472, 50897, 53472, 50897, 50424, 55052, 50925, 55052, 50925, 50428, 52650, 51112, 52650, 51112, 50437, 55052, 50812, 55052, 75804, 55228, 51661, 55228, 51661, 50441, 64618, 51677, 50444, 53472, 51472, 53472, 51472, 50447, 52650, 50910, 52650, 57006, 54029, 50833, 54029, 58229, 54361, 51346, 54361, 51346, 50799, 54029, 50878, 54029, 64625, 55228, 51336, 55228, 79963, 53472, 51291, 53472, 51291, 50423, 52650, 50925, 52650, 57499, 54029, 50925, 54029, 77840, 54361, 51255, 54361, 51255, 50430, 63844, 51328, 50436, 62367, 51242, 50439, 54029, 50878, 54029, 66479, 60131, 51356, 60131, 51356, 50443, 63844, 53233, 50445, 55039, 51446, 55039, 51446, 50448, 53472, 50910, 53472, 50910, 50451, 55052, 50942, 55052, 73900, 59247, 51159, 50455, 52650, 51253, 52650, 51253, 51809, 55052, 50892, 55052, 50892, 61779, 50866, 50419, 60131, 50918, 60131, 54994, 61837, 51486, 50422, 55039, 51291, 55039, 51291, 50425, 53472, 50897, 53472, 75027, 55052, 50854, 55052, 66113, 52650, 50915, 52650, 50915, 50440, 55052, 50810, 55052, 53103, 70563, 51291, 70563, 51291, 50447, 61534, 51291, 61534, 51291, 50450, 55039, 50849, 55039, 60976, 56837, 50810, 56837, 52863, 53472, 51124, 53472, 51124, 63844, 50995, 64436, 51692, 52177, 56837, 50845, 56837, 50845, 50419, 64618, 60392, 70563, 51291, 70563, 51291, 50422, 63844, 51422, 50423, 61534, 50983, 61534, 59492, 55039, 50897, 55039, 77554, 56837, 50810, 56837, 58645, 53472, 51124, 53472, 51124, 50442, 56837, 50854, 56837, 73048, 60131, 51446, 60131, 51446, 61837, 51036, 50447, 55039, 51291, 55039, 51291, 50451, 53472, 50977, 53472, 77462, 55052, 50800, 55052, 51754, 52650, 51162, 52650, 51162, 50457, 63844, 51534, 52177, 64618, 51210, 50418, 55052, 51412, 55052, 51412, 50421, 60131, 51127, 60131, 51127, 63844, 52140, 50424, 55039, 51413, 55039, 51413, 50427, 53472, 50845, 53472, 72416, 55052, 50827, 55052, 63221, 52650, 51380, 52650, 51380, 50443, 55052, 50942, 55052, 69775, 60131, 50918, 60131, 50918, 50449, 55039, 51661, 55039, 51661, 50451, 61837, 51158, 50452, 53472, 50952, 53472, 50952, 52614, 53010, 50455, 55052, 50800, 55052, 59747, 64436, 51124, 50458, 52650, 51048, 52650, 51048, 69533, 54573, 52203, 51166, 51601, 53839, 52063, 50418, 61264, 50987, 50419, 55052, 51178, 55052, 51178, 50421, 52882, 52518, 50422, 60131, 51472, 60131, 51472, 50729, 50317, 51111, 50425, 55039, 51472, 55039, 51472, 50428, 53472, 50830, 53472, 50830, 61264, 50845, 52494, 54298, 50431, 55052, 50925, 55052, 79939, 54568, 53697, 50434, 52650, 51346, 52650, 51346, 72189, 51417, 50443, 52494, 62622, 55052, 50833, 55052, 50833, 62367, 62182, 55228, 51417, 55228, 51417, 54568, 52056, 50447, 63844, 51333, 50449, 53472, 51413, 53472, 51413, 50452, 52650, 50830, 52650, 64870, 61837, 50924, 50455, 54029, 50827, 54029, 50827, 54577, 55086, 50458, 54361, 51345, 54361, 51345, 64436, 62355, 64618, 52528, 52177, 61837, 50795, 50419, 54029, 51095, 54029, 73963, 55228, 51661, 55228, 51661, 61264, 51013, 50425, 53472, 51141, 53472, 51141, 50428, 52650, 50940, 52650, 50940, 50431, 54029, 50808, 54029, 59979, 54361, 51013, 54361, 51013, 64618, 50915, 50729, 50317, 51116, 50442, 50729, 50315, 50910, 50443, 54029, 50833, 54029, 64661, 60131, 51661, 60131, 51661, 63844, 51592, 72189, 51696, 54019, 54557, 50447, 63844, 51939, 50449, 55039, 51141, 55039, 51141, 50452, 53472, 50937, 53472, 50937, 50455, 55052, 50833, 55052, 63569, 52650, 51159, 52650, 51159, 52478, 55052, 51212, 55052, 51212, 50419, 54577, 52167, 50421, 60131, 51291, 60131, 51291, 54568, 51166, 50424, 55039, 51141, 55039, 51141, 50427, 53472, 50910, 53472, 50910, 52494, 51387, 50429, 55052, 50833, 55052, 60462, 52650, 50914, 52650, 50914, 62367, 50974, 62367, 51277, 52882, 52482, 50439, 69533, 50838, 69533, 51753, 50441, 53839, 51365, 50442, 55052, 50925, 55052, 62063, 73730, 51445, 50445, 70563, 51661, 70563, 51661, 73730, 51445, 52882, 65527, 50447, 61534, 51218, 61534, 51218, 50451, 55039, 50805, 55039, 50805, 72189, 51362, 50454, 56837, 50844, 56837, 66849, 53472, 50914, 53472, 50914, 52177, 56837, 51212, 56837, 51212, 50418, 50729, 50315, 61955, 70563, 51472, 70563, 51472, 50421, 50729, 50317, 51235, 50423, 61534, 50983, 61534, 59492, 55039, 50849, 55039, 60412, 56837, 50854, 56837, 65705, 61264, 53974, 53472, 51346, 53472, 51346, 50433, 64436, 51345, 50441, 56837, 50925, 56837, 50925, 50442, 61779, 54651, 60131, 51472, 60131, 51472, 61837, 51696, 50445, 63844, 54143, 63844, 54143, 50447, 55039, 51364, 55039, 51364, 50450, 53472, 50917, 53472, 50917, 50451, 52614, 77765, 55052, 50810, 55052, 52863, 52650, 51056, 52650, 51056, 52203, 52063, 50799, 55052, 51162, 55052, 51162, 53839, 53010, 50420, 60131, 51472, 60131, 51472, 52882, 74525, 55039, 51345, 55039, 51345, 50425, 52494, 52518, 50426, 53472, 50910, 53472, 50910, 50429, 55052, 50810, 55052, 52658, 52650, 50849, 52650, 50849, 54568, 51432, 50437, 52494, 58604, 55052, 50914, 55052, 50914, 50440, 54568, 51550, 50443, 52494, 77074, 55228, 51291, 55228, 51291, 50446, 53472, 51141, 53472, 51141, 50449, 59247, 65458, 52650, 50833, 52650, 50833, 50452, 54029, 50925, 54029, 50925, 50455, 52566, 51157, 52566, 51157, 61779, 51227, 54577, 51703, 50456, 63844, 52059, 50457, 63844, 51412, 50461, 54029, 51111, 54029, 51111, 51809, 61837, 50940, 50417, 64618, 51365, 64618, 51008, 50419, 64436, 70151, 55228, 51661, 55228, 51661, 63844, 51310, 50421, 63844, 51637, 50423, 53472, 51112, 53472, 51112, 50425, 52650, 50865, 52650, 50865, 61837, 50893, 50428, 54029, 50859, 54029, 67803, 52566, 51157, 52566, 51157, 61264, 51227, 54019, 53096, 50437, 54029, 50805, 54029, 52446, 62367, 51079, 62367, 51753, 50440, 50729, 50315, 50940, 54650, 51524, 50443, 60131, 51413, 60131, 51413, 72189, 53073, 54019, 54557, 50444, 69533, 52062, 50445, 69533, 54171, 50446, 55039, 51295, 55039, 51295, 50449, 53472, 50937, 53472, 50937, 50451, 55052, 50812, 55052, 64848, 52650, 51312, 52650, 51312, 50461, 55052, 50873, 55052, 50873, 51809, 70563, 51661, 70563, 51661, 50418, 54019, 55812, 50419, 61534, 51295, 61534, 51295, 50422, 55039, 50845, 55039, 69115, 56837, 50810, 56837, 75322, 53472, 51121, 53472, 51121, 50434, 56837, 50873, 56837, 60698, 54650, 53313, 50436, 73730, 51481, 50437, 73730, 52192, 50440, 60131, 51291, 60131, 51291, 61616, 52503, 50441, 69533, 52727, 50442, 55039, 50983, 55039, 50983, 69533, 52335, 50445, 53472, 50910, 53472, 50910, 50448, 55052, 50810, 55052, 77635, 52650, 51753, 52650, 51753, 50457, 55052, 51203, 55052, 51203, 51601, 60131, 51417, 60131, 51417, 50418, 55039 ]

[ 0, 713, 14899, 3495, 3152, 2214, 16, 10, 15352, 30054, 8, 33558, 15229, 4, 85, 1575, 10, 20902, 11739, 9, 13305, 6, 3152, 6757, 6, 81, 9756, 8, 21979, 29589, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 1769, 20889, 9, 20598, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 230, 6, 274, 6, 8, 272, 4620, 5, 46336, 24456, 9, 42, 20425, 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 ]

[ 56236, 52591, 53824, 56519, 51478, 51653, 50438, 52106, 57565, 51839, 51735, 50456, 52856, 51010, 50799, 52074, 57606, 52074, 51505, 50804, 57480, 51497, 51138, 52705, 53120, 54056, 51856, 56896, 51347, 51505, 50770, 50308, 51452, 52705, 53183, 52444, 52074, 56421, 60159, 51497, 51505, 52705, 53183, 52555, 51856, 51505, 50804, 57701, 51497, 52512, 52705, 53183, 50809, 62673, 52017, 51119, 52017, 51153, 51469, 51435, 50894, 51837, 50882, 52709, 50950, 50945, 51237, 52301, 54430, 51617, 54430, 52463, 54430, 55233, 50800, 54291, 52218, 52374, 69628, 50890, 51164, 51237, 51425, 50894, 51223, 50882, 51222, 50949, 51143, 56051, 51435, 50867, 51837, 50864, 52709, 50855, 55233, 50800, 54291, 51049, 50941, 51425, 72916, 50886, 51222, 50884, 51143, 52712, 51435, 50882, 51837, 50882, 52709, 56701, 52374, 50890, 51425, 60070, 50894, 51222, 51031, 51075, 54151, 51435, 50813, 51837, 50862, 52709, 50857, 75648, 55233, 50800, 54291, 52218, 51559, 50941, 51164, 50950, 51425, 50840, 64417, 51222, 50846, 51143, 53219, 51435, 50882, 51837, 50882, 52709, 50894, 50964, 51237, 62857, 50890, 51332, 51237, 51425, 50950, 51513, 50950, 51222, 51031, 51569, 55933, 51435, 50874, 51837, 50810, 52709, 50867, 55233, 50800, 54291, 51421, 50941, 51425, 50808, 51513, 50855, 51222, 50846, 51569, 53083, 51435, 50882, 51837, 50882, 52709, 56701, 52374, 50890, 51425, 60070, 50894, 51222, 51031, 51075, 54210, 51435, 50857, 51837, 50862, 52709, 50839, 74442, 55233, 50865, 54291, 53710, 50941, 51332, 51138, 51425, 50950, 51223, 50894, 51222, 51031, 51143, 50949, 62673, 51496, 51119, 51496, 51153, 51274, 52381, 51388, 51837, 68052, 51237, 55233, 50809, 54291, 52773, 52374, 50890, 51164, 74983, 51578, 50865, 55233, 50800, 54291, 51421, 50941, 51425, 50882, 51223, 50858, 51222, 50961, 51143, 53516, 51948, 50858, 52353, 52997, 52374, 50890, 51425, 50894, 51195, 50882, 51222, 50949, 51075, 54562, 52381, 50821, 51837, 50800, 51325, 51138, 55233, 50809, 54291, 52773, 51559, 50941, 51396, 51138, 78709, 74600, 51222, 50884, 51143, 54986, 51578, 52841, 51837, 51413, 75344, 62857, 50890, 50946, 51012, 70451, 51513, 50894, 51222, 50883, 51569, 69431, 51578, 51413, 50442, 51435, 51241, 50444, 51153, 51158, 50945, 51012, 55233, 50800, 54291, 51421, 50941, 51164, 51012, 51425, 50859, 51513, 50858, 51222, 50884, 51569, 53595, 50927, 56421, 52374, 50890, 51171, 51012, 51425, 50962, 51195, 50880, 51222, 50949, 51075, 57905, 51119, 67840, 51153, 51030, 74442, 55233, 51060, 54291, 53710, 50941, 51332, 51138, 51425, 50962, 51223, 50894, 51222, 50949, 51143, 50949, 62673, 56736, 51308, 52149, 51275, 53090, 51435, 50858, 51948, 50858, 52709, 50882, 51096, 51237, 51914, 54430, 52317, 54430, 57101, 50830, 54291, 52218, 52374, 50890, 52021, 51237, 51436, 50894, 51262, 50882, 51348, 50949, 51344, 56051, 51435, 50867, 51948, 50813, 52709, 50836, 57101, 50800, 54291, 51421, 75822, 50859, 51262, 50886, 51348, 50884, 51344, 52712, 51435, 50858, 51948, 50858, 52709, 54627, 52374, 50890, 51436, 56906, 50894, 51348, 51031, 51211, 54151, 51435, 50941, 51948, 50874, 52709, 50813, 51096, 51012, 57101, 50800, 54291, 52773, 51559, 50941, 52021, 51012, 51436, 50840, 78483, 69213, 51344, 53219, 76815, 51948, 50808, 52709, 50821, 50945, 51745, 62857, 50890, 51164, 51745, 51436, 50950, 51781, 50950, 51348, 51031, 51849, 55933, 51435, 50851, 51948, 50904, 52709, 50857, 57101, 50800, 54291, 51049, 75822, 50808, 51781, 50855, 69213, 51849, 53083, 51435, 50940, 51948, 50893, 52709, 57361, 52374, 50890, 51436, 56906, 50894, 51348, 51031, 51211, 54210, 51435, 51346, 50945, 51012, 57101, 50795, 54291, 51370, 50941, 51164, 51012, 51436, 50950, 51262, 50894, 51348, 51031, 51344, 57841, 51948, 51060, 50799, 52353, 51033, 51096, 51237, 57101, 50800, 54291, 52773, 52374, 50890, 52021, 74983, 51435, 50833, 51948, 50808, 53629, 50859, 57101, 50800, 54291, 51421, 75822, 50882, 51262, 50858, 51348, 50961, 51344, 53516, 51435, 50836, 51948, 50800, 52778, 53474, 52374, 50890, 51436, 50894, 51250, 50882, 51348, 50949, 51211, 54562, 51435, 51016, 51948, 51167, 52709, 52311, 51228, 51012, 57101, 50800, 54291, 52218, 51559, 50941, 52540, 51012, 51436, 50887, 51262, 50840, 51348, 50884, 51344, 53442, 51275, 51048, 50927, 51505, 62857, 50890, 51171, 51505, 51436, 50821, 51781, 50894, 51348, 50883, 51849, 54586, 51948, 51362, 51096, 51012, 57101, 50809, 54291, 51421, 50941, 52021, 51012, 51436, 50859, 51781, 50858, 51348, 50884, 51849, 53595, 51435, 51073, 51796, 51505, 50804, 52374, 50890, 55518, 51505, 51436, 50962, 51250, 50880, 51348, 50949, 51211, 53563, 51275, 50936, 51096, 51012, 57101, 50795, 54291, 53710, 50941, 52021, 51012, 51436, 50962, 51262, 50894, 51348, 50949, 51344, 50949, 66301, 53073, 51153, 52024, 51489, 54300, 51516, 50882, 51837, 50882, 53519, 50950, 50964, 51237, 52301, 54430, 51676, 54430, 52328, 54430, 53587, 50800, 53208, 52218, 52374, 50890, 51332, 51237, 51223, 50894, 51250, 50882, 51143, 50949, 51211, 56051, 51516, 50862, 51837, 50855, 53519, 50840, 53587, 50800, 53208, 51049, 77202, 50859, 51250, 50886, 51143, 50884, 51211, 52712, 51516, 51033, 51837, 50894, 53519, 56701, 52374, 50890, 51223, 67483, 50894, 51143, 51031, 51288, 54151, 51516, 50867, 51837, 50862, 53519, 50862, 74802, 53587, 50800, 53208, 52218, 51559, 50941, 51332, 51012, 74600, 51250, 50836, 76617, 51211, 53219, 51516, 50858, 51837, 50821, 53519, 50882, 50953, 51237, 62857, 50890, 50988, 51237, 51223, 50950, 51543, 50950, 51143, 51031, 51843, 55933, 51516, 50867, 51837, 50862, 53519, 50855, 53587, 50800, 53208, 51049, 77202, 50808, 51543, 50855, 76617, 51843, 53083, 51516, 50830, 51837, 50893, 53519, 68797, 52374, 50890, 51223, 67483, 50894, 51143, 51031, 51288, 54210, 51516, 51112, 71151, 53587, 50865, 53208, 53710, 50941, 50988, 51012, 51223, 56906, 50894, 51143, 51031, 51211, 57841, 51837, 51060, 50799, 53519, 51014, 50964, 51237, 53587, 50800, 53208, 52218, 52374, 50890, 51332, 74983, 51516, 50910, 51837, 50940, 54513, 50921, 53587, 50800, 53208, 51049, 77202, 50882, 51250, 50858, 51143, 50961, 51211, 53516, 51516, 50836, 51837, 50859, 52709, 53474, 52374, 50890, 51223, 50894, 51355, 50882, 51143, 50949, 51288, 54562, 51516, 51343, 51837, 51090, 52778, 50980, 51105, 51012, 53587, 50800, 53208, 52218, 51559, 50941, 51751, 51012, 72327, 77866, 51143, 50884, 51211, 53442, 51489, 51472, 51019, 51012, 62857, 50890, 51217, 51012, 51223, 50821, 51543, 50894, 51143, 50883, 51843, 54586, 52778, 51290, 50953, 51138, 53587, 50800, 53208, 51049, 50941, 50988, 51138, 51223, 50859, 51543, 50858, 51143, 50884, 51843, 53595, 51837, 50893, 51011, 51505, 50804, 52374, 50890, 50946, 51505, 51223, 50962, 51355, 50880, 51143, 50949, 51288, 53563, 51516, 50821, 71151, 53587, 50865, 53208, 52744, 50941, 50988, 51012, 51223, 50962, 51250, 50894, 51143, 50949, 51211, 50949, 62673, 52536, 51119, 51605, 51153, 51605, 51435, 50821, 51837, 50882, 52709, 50894, 50945, 51237, 51617, 52379, 52463, 52379, 55233, 50800, 54291, 52218, 52374, 50890, 51164, 51237, 51425, 50894, 51223, 50882, 51222, 50949, 51143, 56051, 51435, 50857, 51837, 50862, 52709, 50813, 55233, 50800, 54291, 51049, 50941, 51425, 72916, 50886, 51222, 50884, 51143, 52712, 51435, 51033, 51837, 51033, 52709 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 11, 381, 3694, 7630, 6568, 10, 8576, 9, 8597, 6, 31, 5, 2933, 8, 9066, 7, 5, 32076, 4, 20, 13305, 6, 2342, 4467, 6, 6755, 12547, 6, 8, 930, 2233, 45552, 833, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 26658, 149, 10, 33215, 13931, 9, 3676, 6, 163, 119, 6, 230, 6, 272, 6, 8, 230, 6, 6946, 7, 63, 36355, 2088, 7122, 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, 50438, 50627, 50799, 57374, 50806, 58997, 66645, 56079, 52247, 55906, 55224, 62527, 52322, 55319, 50806, 58749, 68249, 61186, 52610, 55906, 57024, 55076, 50806, 50799, 60586, 50806, 56318, 66645, 57374, 52247, 56079, 55224, 58997, 52322, 69726, 50806, 55076, 67114, 55319, 52610, 55906, 52931, 55319, 50806, 50799, 60586, 50806, 57118, 52774, 57374, 50806, 55076, 52247, 56079, 50806, 56318, 52309, 57374, 50806, 58997, 52322, 69726, 50806, 55076, 55451, 55319, 52610, 56079, 50806, 55906, 57024, 55319, 50806, 50799, 69333, 50806, 57118, 55419, 60586, 52247, 57374, 50806, 62527, 52309, 60586, 50806, 59584, 52322, 66573, 50806, 58749, 67114, 68474, 52610, 61186, 52931, 68474, 50806, 50799, 57374, 50806, 58997, 66645, 56079, 52247, 55906, 55224, 62527, 52322, 68474, 50806, 58749, 68249, 61186, 52610, 55906, 57024, 64495, 50806, 50799, 55319, 50806, 64495, 55419, 59678, 52247, 64258, 50806, 54779, 55224, 62527, 52322, 60586, 50806, 62527, 55451, 57374, 52610, 56079, 50896, 58997, 50896, 50799, 69333, 50806, 56318, 52774, 60586, 50806, 58749, 52247, 57374, 50806, 58997, 52309, 60586, 50806, 66076, 52322, 66573, 50806, 50661, 50336, 55451, 68474, 52610, 61186, 50806, 58749, 57024, 68474, 50806, 50799, 57374, 50806, 56318, 69097, 56079, 52247, 55906, 52309, 56079, 52322, 57374, 71771, 56079, 59779, 55906, 67106, 56318, 51285, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51026, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50861, 56277, 77916, 54197, 57442, 51274, 50417, 50877, 50983, 56945, 52247, 50900, 55224, 50876, 55246, 50876, 51646, 51085, 56294, 51196, 50441, 50861, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 57926, 58718, 50871, 52115, 51027, 56294, 54901, 50861, 51631, 50900, 57442, 57200, 50877, 51736, 51027, 56501, 55246, 50876, 51646, 51085, 56294, 69152, 50861, 53218, 51026, 52610, 50900, 59368, 70388, 50916, 53312, 51026, 50806, 54868, 57926, 66281, 50871, 53561, 51050, 52247, 51027, 62219, 57200, 50968, 51736, 51050, 58404, 55246, 50902, 51646, 51315, 58692, 51196, 50441, 50973, 56027, 51176, 52610, 51086, 52931, 51176, 50806, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51176, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50951, 56277, 50951, 50795, 54955, 62656, 66281, 50951, 53561, 50997, 52247, 50931, 59238, 69460, 50931, 51736, 50968, 55246, 50968, 51646, 51050, 62219, 69152, 50968, 53218, 51027, 52610, 50900, 62596, 70388, 50876, 50807, 54868, 57442, 58718, 50877, 52115, 51050, 58692, 54901, 50973, 51631, 51027, 56501, 57200, 50876, 51736, 51050, 65332, 55246, 50999, 51646, 51315, 72292, 69152, 51147, 53218, 51176, 52610, 51086, 58692, 70388, 50973, 53312, 51176, 50806, 56310, 57442, 51469, 50417, 50877, 51036, 53502, 52247, 50916, 52309, 50900, 52322, 50877, 52692, 50900, 52610, 50916, 50806, 73652, 51113, 73745, 51301, 50855, 51093, 62603, 51113, 50855, 51201, 54583, 50900, 50806, 76434, 51284, 60135, 51266, 50836, 51304, 61629, 51284, 50840, 51690, 50840, 56310, 50806, 51284, 51077, 51733, 51264, 51673, 50983, 53502, 52247, 50916, 55224, 52433, 51646, 51026, 50806, 51088, 51077, 52156, 60865, 51086, 52610, 50916, 57024, 51565, 50795, 54197, 50806, 51154, 51077, 51182, 51077, 51686, 50983, 56945, 52247, 50900, 55224, 51673, 51646, 51085, 50806, 51299, 51077, 51093, 53090, 51565, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 50806, 51154, 51077, 51606, 52115, 51027, 50806, 51565, 51631, 50900, 50806, 51686, 51736, 51027, 50806, 51673, 51646, 51085, 50806, 51299, 51077, 51565, 53218, 51026, 52610, 50900, 50806, 51789, 53312, 51026, 50806, 54868, 50806, 51201, 50889, 51251, 51077, 51606, 53561, 51050, 52247, 51027, 50806, 51182, 50805, 52433, 51736, 51050, 50806, 51284, 50805, 51886, 51646, 51315, 50806, 51301, 51077, 51629, 51077, 52156, 56027, 51176, 52610, 51086, 52931, 51176, 50806, 56310, 50806, 51113, 51077, 51733, 51077, 51673, 50983, 53502, 52247, 50916, 55224, 52433, 51646, 51176, 50806, 51384, 50889, 51375, 51077, 52156, 60865, 51086, 52610, 50916, 50896, 51733, 52961, 51384, 50805, 52367, 50795, 54955, 50806, 51088, 51077, 51394, 51077, 52367, 53561, 50997, 52247, 50899, 50896, 52171, 51736, 52433, 51646, 51050, 50806, 51154, 51077, 52487, 51077, 52433, 53218, 51027, 52610, 50900, 50896, 51673, 50807, 54868, 50806, 51251, 51077, 51284, 51077, 51686, 52115, 51050, 50806, 52156, 51631, 51027, 50806, 51673, 51736, 51050, 50806, 53297, 51646, 51315, 50806, 51733, 50889, 51301, 51077, 54051, 53218, 51176, 52610, 51086, 50806, 51629, 50889, 52156, 53312, 51176, 50806, 56310, 50806, 51113, 51264, 51284, 51264, 51686, 51036, 53502, 52247, 50916, 52309, 50900, 52322, 50877, 52692, 50900, 52610, 50916, 52931, 50900, 50806, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51026, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50861, 56277, 77916, 54197, 57442, 51274, 50417, 50877, 50983, 56945, 52247, 50900, 55224, 50876, 55246, 50876, 51646, 51085, 56294, 51196, 50441, 50861, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 57926, 58718, 50871, 52115, 51027, 56294, 54901, 50861, 51631, 50900, 57442, 57200, 50877, 51736, 51027, 56501, 55246, 50876, 51646, 51085, 56294, 69152, 50861, 53218, 51026, 52610, 50900, 59368, 70388, 50916, 53312, 51026, 50806, 54868, 57926, 66281, 50871, 53561, 51050, 52247, 51027, 62219, 57200, 50968, 51736, 51050, 58404, 55246, 50902, 51646, 51315, 58692, 51196, 50441, 50973, 56027, 51176, 52610, 51086, 52931, 51176, 50806, 56310, 56501, 51274, 73401, 50983, 53502, 52247, 50916, 55224, 50968, 55246, 50968, 51646, 51176, 58692, 51274, 50441, 50973, 60865, 51086, 52610, 50916, 57024, 50951, 56277, 50951, 50795, 54955, 62656, 66281, 50951, 53561, 50997, 52247, 50931, 59238, 69460, 50931, 51736, 50968, 55246, 50968, 51646, 51050, 62219, 69152, 50968, 53218, 51027, 52610, 50900, 62596, 70388, 50876, 50807, 54868, 57442, 58718, 50877, 52115, 51050, 58692, 54901, 50973, 51631, 51027, 56501, 57200, 50876, 51736, 51050, 65332, 55246, 50999, 51646, 51315, 72292, 69152, 51147, 53218, 51176, 52610, 51086, 58692, 70388, 50973, 53312, 51176, 50806, 56310, 57442, 51469, 50417, 50877, 51036, 53502, 52247, 50916, 52309, 50900, 52322, 50877, 52692, 50900, 52610, 50916, 50806, 73652, 51113, 73745, 51301, 50855, 51093, 62603, 51113, 50855, 51201, 54583, 50900, 50806, 76434, 51284, 60135, 51266, 50836, 51304, 61629, 51284, 50840, 51690, 50840, 56310, 50806, 51284, 51077, 51733, 51264, 51673, 50983, 53502, 52247, 50916, 55224, 52433, 51646, 51026, 50806, 51088, 51077, 52156, 60865, 51086, 52610, 50916, 57024, 51565, 50795, 54197, 50806, 51154, 51077, 51182, 51077, 51686, 50983, 56945, 52247, 50900, 55224, 51673, 51646, 51085, 50806, 51299, 51077, 51093, 53090, 51565, 56027, 51026, 52610, 50916, 52931, 51026, 50806, 54197, 50806, 51154, 51077, 51606, 52115, 51027, 50806, 51565, 51631, 50900, 50806, 51686, 51736, 51027, 50806, 51673, 51646, 51085, 50806, 51299, 51077, 51565, 53218, 51026, 52610, 50900, 50806, 51789, 53312, 51026, 50806, 54868, 50806, 51201, 50889, 51251, 51077, 51606, 53561, 51050, 52247 ]

[ 0, 250, 2635, 12, 20764, 1619, 3495, 2214, 11, 211, 3694, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 3459, 9590, 6, 38668, 2236, 6, 8, 21072, 4, 590, 10, 86, 6543, 9, 132, 73, 306, 6, 24, 18, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 6, 381, 6, 83, 6, 211, 6, 8, 381, 4, 20, 2125, 7630, 6568, 10, 15352, 30054, 8, 1372, 5466, 6, 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, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50625, 51038, 67014, 51693, 51544, 51693, 50434, 72195, 50435, 50944, 50991, 50437, 68568, 50868, 51194, 50799, 51881, 51314, 52332, 51447, 50927, 51077, 50856, 52944, 50944, 66489, 50868, 66362, 52030, 50850, 62663, 50860, 51125, 50911, 55957, 57514, 53541, 51965, 51615, 76357, 50847, 56219, 51043, 50847, 51059, 50935, 51029, 51443, 51127, 50856, 53114, 50848, 73324, 50847, 51923, 50850, 51141, 51017, 51184, 50458, 52332, 52231, 50461, 53389, 52727, 51656, 51922, 52033, 51922, 57377, 51115, 50850, 51184, 51069, 51359, 50856, 52944, 50848, 53383, 50868, 57594, 53031, 52604, 50841, 52433, 63752, 51112, 50437, 52604, 59646, 52433, 50925, 50946, 51310, 50856, 62969, 51673, 55604, 51827, 67387, 51686, 50987, 50443, 51565, 50982, 52604, 52711, 52480, 50891, 76608, 72186, 57723, 52604, 50808, 51686, 52843, 50868, 54367, 64125, 51565, 58207, 51606, 59163, 52083, 50866, 51686, 57431, 63224, 58470, 56834, 51606, 50855, 51686, 51477, 52083, 52519, 50799, 51881, 51878, 52332, 51080, 50848, 58213, 52378, 50927, 51127, 51321, 52944, 63921, 51840, 63690, 52910, 51007, 51014, 67593, 50427, 51840, 54684, 51125, 51033, 51149, 50952, 71088, 55957, 57514, 51881, 51878, 51615, 51447, 50438, 50847, 56219, 51411, 50935, 51059, 51007, 51059, 50953, 51047, 50856, 53114, 59082, 50450, 57767, 50847, 59132, 65125, 50850, 61182, 51191, 73886, 50799, 53389, 52503, 51656, 52727, 52033, 51748, 51007, 50887, 57884, 50946, 51295, 50850, 51036, 51125, 52379, 51011, 51675, 51321, 52944, 55688, 51017, 58483, 50426, 51125, 57594, 53031, 50850, 57581, 50935, 51060, 79733, 50444, 50850, 50830, 51019, 56923, 53528, 51149, 51362, 50856, 52743, 60978, 51069, 74167, 54781, 50935, 51754, 63224, 51284, 51079, 50856, 56834, 52332, 51080, 51881, 52263, 57342, 50938, 52487, 55174, 50927, 50918, 51321, 52944, 50944, 69602, 68106, 51007, 61182, 51343, 50432, 50868, 59590, 50860, 51125, 54241, 50856, 57514, 51615, 51490, 51881, 51878, 50438, 67102, 50847, 51059, 50935, 51029, 51443, 51077, 50856, 53114, 50850, 60621, 55758, 50847, 58922, 51806, 50456, 70794, 51017, 51184, 50856, 54026, 73886, 50799, 53389, 52727, 52033, 51922, 51656, 51748, 50992, 50818, 50946, 51295, 50850, 51184, 51069, 51894, 51321, 52944, 50868, 53770, 50850, 77684, 64525, 55957, 57514, 51926, 52048, 50438, 64564, 50946, 69238, 53114, 51017, 65845, 52405, 54521, 50450, 50868, 72623, 51733, 52063, 50456, 50850, 51290, 51011, 57075, 54026, 51415, 56700, 56834, 52332, 51447, 51881, 52263, 51384, 51703, 57342, 50955, 51271, 51145, 51271, 51047, 51321, 52944, 50850, 59760, 50910, 51007, 67721, 51840, 51973, 57767, 51007, 62711, 69012, 51840, 68981, 61301, 51125, 50823, 51149, 79393, 51016, 50437, 51615, 51703, 51558, 52440, 50438, 51881, 51878, 61058, 50935, 51059, 51007, 51059, 50988, 51310, 50953, 51417, 50856, 52743, 50847, 80071, 75737, 50850, 54286, 54026, 50856, 56834, 51656, 51922, 53389, 51748, 52033, 51748, 50799, 52156, 50908, 51686, 50995, 50850, 51566, 51125, 51072, 50946, 50889, 51284, 73728, 51069, 51518, 51321, 52944, 51017, 56800, 52156, 51056, 50868, 58778, 51653, 51007, 63284, 51017, 50901, 50437, 51686, 50863, 52251, 52904, 51565, 50995, 50850, 51227, 51125, 51566, 51149, 51566, 50856, 53114, 51017, 58038, 52251, 50837, 51686, 50914, 50868, 51100, 51011, 62939, 51439, 51167, 51149, 71935, 51415, 53176, 51017, 50933, 51271, 62908, 51415, 55595, 56834, 51565, 59864, 52282, 50799, 51881, 52980, 52332, 52431, 52083, 51518, 67265, 51840, 51352, 51271, 51486, 69579, 51486, 56417, 51538, 52945, 51518, 55327, 51675, 51321, 52944, 50848, 55035, 50848, 62294, 54367, 53031, 50850, 51400, 50438, 61059, 50856, 53114, 50848, 50908, 50944, 61605, 53528, 50856, 57723, 51615, 52011, 51881, 51709, 53541, 52188, 51840, 50829, 51439, 51013, 67093, 59731, 51565, 51003, 50935, 51227, 78771, 51558, 51108, 51011, 50943, 53565, 51056, 55327, 51159, 53132, 51056, 51321, 53217, 50848, 71015, 54026, 50856, 56834, 53389, 56599, 51881, 53142, 52332, 52916, 50799, 52251, 50891, 51686, 51662, 50850, 51977, 51007, 51795, 51840, 51605, 51284, 54573, 50927, 51264, 69579, 51677, 56417, 51538, 55327, 51538, 52945, 51518, 51321, 52944, 50848, 52519, 59007, 51173, 51217, 74258, 50944, 67045, 52015, 50426, 50847, 51472, 74270, 50935, 54993, 51007, 51527, 50444, 50935, 54058, 51042, 51412, 74085, 51983, 57377, 69033, 51017, 64111, 70006, 80133, 74270, 51017, 50981, 50868, 56656, 51125, 52282, 50444, 50850, 55758, 50850, 67411, 60722, 50991, 51983, 50461, 51760, 51447, 57342, 52536, 53727, 67568, 50944, 68586, 71143, 74270, 50944, 51391, 50437, 52840, 60934, 51007, 51196, 55287, 51397, 50444, 50850, 68366, 50944, 50807, 51983, 50456, 50848, 57867, 52721, 51080, 63516, 56659, 51933, 50415, 53399, 51627, 50420, 50944, 51423, 50426, 71419, 74270, 50944, 51419, 50436, 52213, 52263, 50438, 51007, 52195, 52235, 51627, 50444, 50850, 64860, 50944, 51048, 51983, 64170, 51121, 51042, 53174, 51217, 51359, 60474, 51423, 50426, 73237, 74270, 50868, 71442, 50935, 51551, 50444, 50847, 54323, 73949, 51983, 50456, 74733, 63516, 51110, 50946, 51977, 50420, 59300, 51017, 52598, 50426, 50868, 51004, 50850, 51345, 74270, 50868, 60465, 50868, 51534, 51125, 51870, 50444, 50850, 68366, 50946, 50925, 63299, 51983, 50456, 50868, 51297, 50946, 61145, 51760, 51965, 63516, 58922, 51413, 53727, 51535, 50420, 50944, 76906, 50850, 50849, 74270, 51007, 50924, 50437, 52840, 53055, 50438, 72745, 51125, 51043, 69385, 55287, 77494, 50944, 72044, 59082, 73694, 51983, 50456, 67102, 75734, 50799, 64412, 50935, 51233, 50944, 51227, 51007, 51566, 51171, 51161, 52678, 51253, 50426, 50847, 51066, 51149, 51157, 51992, 50915, 62432, 50850, 51160, 51840, 51237, 52235, 51097, 52678, 65029, 50944, 51112, 51007, 79645, 58351, 53727, 51709, 50799, 52033, 51922, 51615, 51671, 74867, 50868, 51400, 51042, 64539, 50807, 51019, 51241, 51897, 75383, 54202, 50868, 68586, 59589, 50935, 55990, 51290, 53642, 52417, 77128, 51042, 50874, 59227, 65078, 64525, 51019, 56525, 53442, 64525, 77369, 74867, 51042, 51159, 51042, 72523, 51343, 51019, 51218, 51897, 52616, 50868, 51862, 50847, 54068, 54044, 50847, 65453, 50917, 73237, 50935, 51173, 60375, 52579, 62940, 70687, 74733, 51205, 75166, 52033, 52727, 51656, 51671, 59007, 51124, 50868, 51157, 50946, 51013, 71047, 51069, 51241, 51897, 52639, 50850, 59590, 51173, 50868, 51112, 53642, 52417, 50946, 50857, 50946, 50813, 66524, 50868, 51025, 51069, 57567, 53442, 51017, 50897, 50946, 55501, 51095, 71209, 51125, 51761, 51069, 51103, 51897, 52616, 67727, 50850, 62806, 54044, 64525, 50868, 50967, 74161, 60375, 52579, 50850, 75166, 52332, 58643, 51881, 58728, 63516, 51235, 51007, 51013, 62224, 50848, 72137, 51191, 51897, 52761, 50944, 52134, 50944, 51423, 50426, 51007, 53006, 51227, 75707, 53642, 52417, 50848, 59823, 58430, 50874, 66523, 50927, 57567, 53442, 50944, 63607, 50967, 50848, 51295, 50848, 51218, 50927, 51397, 51897, 52616, 50944, 72578, 53021, 54044, 50850, 56548, 51235, 51007, 51116, 60375, 52579, 51007, 51073, 50799, 64873, 79373, 62224, 59911, 50927, 51204, 51897, 52761, 50944, 57818, 50944, 59590, 51158, 50935, 51227, 53642, 52417, 50848, 62626, 57408, 50907, 51007, 51121, 50927, 53097, 53442, 70694, 59082, 50935, 57482, 51328, 50848, 51091 ]

[ 0, 713, 8787, 3495, 15229, 11, 2060, 538, 16, 17407, 30, 63, 15352, 30054, 2574, 8, 19448, 13569, 9862, 6, 7630, 14805, 10, 1472, 9, 657, 8, 11098, 4, 590, 10, 13305, 25, 5, 6922, 10320, 6, 5, 2125, 11498, 10, 231, 73, 398, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15900, 13410, 228, 2289, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 2060, 8, 12608, 406, 6, 8216, 7, 63, 32625, 8, 25306, 1318, 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 ]

[ 51540, 50630, 50965, 52431, 50448, 50861, 52482, 50449, 50906, 51637, 50466, 50876, 51679, 50467, 50965, 51074, 50468, 50989, 51074, 50480, 50871, 78502, 51797, 51028, 51542, 51474, 50421, 50900, 53535, 50319, 51477, 50422, 50965, 65668, 50931, 51380, 51040, 53697, 50965, 52011, 50471, 51028, 52845, 50300, 51748, 51081, 51775, 50472, 50916, 52598, 50906, 54344, 50861, 52011, 51474, 50422, 51147, 51801, 50423, 50871, 53142, 50965, 57232, 51028, 52528, 50485, 50989, 51637, 50965, 55086, 51540, 50876, 54573, 74413, 51679, 50443, 50956, 59781, 50956, 78697, 50965, 52431, 50459, 69119, 50876, 52431, 51114, 56329, 50463, 50956, 51330, 50477, 50899, 51961, 51474, 50416, 50956, 51637, 50431, 50965, 63712, 50432, 51028, 63712, 50871, 51283, 50448, 51040, 51680, 50478, 51176, 51376, 51474, 50417, 51176, 54249, 50482, 51503, 51592, 50483, 50965, 55597, 50900, 55586, 50484, 50989, 61164, 51474, 50442, 51234, 51419, 50443, 51040, 54228, 50457, 51085, 51477, 50458, 50956, 54344, 50470, 51360, 51391, 50473, 50871, 58090, 50483, 51197, 51679, 50484, 50900, 52441, 51474, 50425, 51040, 71445, 51381, 50458, 51040, 52056, 50459, 50997, 51318, 50861, 52263, 50460, 50916, 54521, 50479, 51040, 52829, 50480, 51176, 51801, 50965, 52528, 50481, 50871, 52916, 51474, 50473, 50965, 52169, 50317, 50972, 50474, 56963, 51474, 50416, 51001, 51242, 50417, 50965, 51008, 50989, 51058, 50434, 50965, 54532, 51028, 54557, 50931, 51749, 50472, 51503, 51172, 50473, 51001, 51172, 50989, 52518, 50474, 50965, 51824, 70814, 51360, 58643, 50421, 50931, 51803, 50422, 51028, 56458, 50965, 56329, 50461, 51028, 52048, 51176, 52440, 50462, 50871, 52518, 50965, 52063, 50483, 51040, 54557, 50871, 54228, 51028, 55002, 50484, 50965, 53280, 51474, 50468, 52759, 52644, 53684, 52821, 51360, 52644, 51399, 52821, 51474, 50430, 51147, 51380, 50973, 54590, 50317, 54848, 50447, 50951, 51534, 50448, 50906, 52454, 50317, 51380, 51474, 50424, 51028, 53478, 51399, 53487, 50425, 52759, 52644, 51360, 53849, 50457, 50989, 51806, 50458, 51027, 51645, 51040, 54344, 50476, 51176, 52136, 51040, 53577, 50477, 50871, 54211, 51474, 77431, 51642, 80237, 50438, 51081, 51803, 50906, 52783, 50455, 51503, 54143, 50456, 56539, 52919, 50481, 51147, 51524, 50482, 50965, 50912, 51474, 50416, 51176, 54228, 51040, 52407, 50871, 54344, 50417, 50965, 53866, 51147, 52140, 50437, 51026, 55586, 50997, 51703, 50916, 52147, 50461, 51147, 51051, 67364, 50468, 50965, 52980, 50469, 51147, 52783, 51474, 50416, 51503, 53478, 50442, 50965, 51365, 50443, 51147, 52946, 50451, 50997, 54126, 50299, 53280, 50916, 51797, 50965, 53866, 51147, 52980, 50473, 51378, 52147, 50900, 55002, 50956, 52440, 51474, 62144, 51142, 51147, 51210, 50433, 50965, 51210, 51147, 51254, 50462, 52759, 53295, 53684, 55428, 51360, 53295, 51399, 55428, 51474, 50424, 51147, 50878, 50425, 50973, 51123, 51028, 51123, 50431, 51028, 51542, 50432, 50973, 51283, 51147, 51134, 50453, 51028, 51637, 50454, 50906, 51637, 50951, 51542, 51474, 50440, 51028, 53753, 51399, 52121, 52759, 51243, 51360, 51449, 50474, 50989, 51008, 51040, 50933, 51027, 50933, 50481, 51027, 51199, 50482, 50989, 51775, 51040, 52034, 51474, 50440, 51176, 53126, 50305, 52025, 50441, 50871, 54228, 50464, 50871, 78063, 51174, 50468, 50989, 53131, 50322, 51006, 50472, 50861, 51481, 50474, 60299, 50478, 50965, 75855, 50978, 50482, 50999, 51058, 50483, 50877, 51697, 51474, 50416, 67939, 51062, 51172, 50440, 66768, 51081, 62077, 56539, 51134, 50447, 50906, 51637, 51081, 51310, 51503, 52256, 50480, 50965, 51142, 51147, 50851, 51540, 51176, 51381, 50415, 51040, 52519, 51147, 52528, 50871, 53164, 50312, 52916, 50435, 51026, 52598, 50997, 52263, 50916, 52263, 50459, 51147, 51051, 50965, 50907, 50466, 50965, 51490, 51147, 51703, 50483, 51503, 51775, 51474, 50435, 51147, 51365, 79944, 50442, 50965, 52916, 50443, 51147, 52916, 51026, 52034, 50997, 52059, 65827, 53096, 50465, 51378, 51592, 50900, 56329, 50956, 55776, 51474, 50417, 50965, 51365, 51147, 51365, 50425, 50965, 53486, 51147, 52980, 50446, 51360, 52019, 50281, 50915, 50469, 51028, 51309, 50476, 51050, 51576, 51040, 52056, 51081, 51742, 51086, 51738, 50477, 50906, 51680, 51474, 50423, 51040, 53866, 50424, 51026, 52980, 51315, 53866, 50447, 50965, 52415, 50324, 51174, 50455, 50951, 51535, 50861, 52212, 50472, 52759, 51619, 50293, 51330, 51474, 50423, 51114, 51058, 50431, 51360, 52460, 51176, 58483, 50956, 52482, 50989, 51452, 72144, 51114, 51894, 50451, 51040, 53486, 51176, 52440, 51360, 53486, 50476, 72301, 51028, 50978, 50477, 50931, 51008, 50482, 51114, 51351, 50483, 50989, 51411, 51474, 50428, 53492, 74685, 51411, 50429, 75248, 51234, 58194, 77204, 51001, 51051, 50460, 50900, 52378, 50956, 51680, 51001, 53413, 51085, 51381, 50861, 51080, 50481, 51234, 52980, 50997, 54829, 51474, 50433, 50956, 72215, 50861, 53529, 50317, 51022, 50439, 50956, 53486, 50861, 54829, 51028, 52598, 50458, 56539, 51619, 50288, 50981, 50481, 75105, 64041, 50956, 51210, 51474, 50416, 50956, 51490, 50989, 52783, 50876, 52783, 50417, 50997, 51712, 50290, 51534, 50434, 51503, 51293, 51176, 51592, 50457, 50989, 51365, 75475, 50458, 50965, 51123, 50463, 50900, 52048, 50464, 50965, 52048, 50989, 54836, 50481, 51360, 60138, 52415, 50317, 51101, 52759, 51619, 50305, 50959, 51474, 50435, 51086, 50959, 51040, 50959, 51147, 50844, 51399, 51142, 52128, 50878, 50973, 77376, 51399, 51183, 52128, 51103, 51086, 51337, 51040, 51337, 50973, 51423, 51147, 51452, 50460, 50997, 52168, 50906, 51680, 50461, 51040, 58468, 50484, 51487, 50878, 50485, 64075, 51474, 50422, 53684, 51183, 51399, 51183, 50440, 52759, 63939, 51360, 50981, 50465, 51027, 51962, 50305, 59035, 50933, 51399, 50851, 76615, 51787, 50925, 50472, 51787, 51183, 51114, 51803, 50473, 51399, 51145, 50474, 51040, 51419, 50877, 51328, 51027, 50933, 51474, 50417, 51176, 51412, 50418, 50965, 51480, 50442, 51399, 50874, 72310, 51339, 73311, 51399, 51310, 51147, 50878, 52128, 58332, 51114, 51134, 50451, 51787, 51091, 50471, 53492, 50915, 50472, 51234, 51911, 50329, 51391, 51339, 51134, 50931, 51115, 75196, 72147, 50900, 69667, 50933, 67108, 51399, 52169, 50331, 50978, 50433, 51399, 51680, 50876, 53130, 50328, 52096, 51001, 52168, 50434, 50951, 51314, 50900, 58248, 50906, 51080, 50997, 51680, 50477, 51001, 50851, 78561, 50478, 51399, 50907, 50483, 51001, 51680, 50951, 51080, 51399, 51447, 51474, 50428, 56539, 70583, 51503, 50915, 50454, 51062, 51592, 50455, 50997, 50959, 71650, 67108, 51114, 68752, 51001, 52783, 51114, 52168, 51062, 51243, 50462, 50997, 50987, 50463, 50906, 50866, 50480, 51176, 51742, 50965, 51148, 51474, 50433, 67176, 60714, 51147, 70327, 50876, 51679, 51114, 51381, 51147, 51679, 50459, 51028, 52363, 50321, 52415, 50329, 51233, 52759, 51043, 51360, 51337, 50485, 51220, 50812, 51540, 62680, 51086, 50854, 53117, 66179, 51086, 50955, 66737, 51220, 50854, 53117, 50942, 50440, 53117, 51608, 50327, 51191, 50441, 50973, 51091, 51086, 51189, 50476, 50906, 51309, 50481, 50973, 51412, 51474, 50416, 51028, 62149, 50956, 52140, 50871, 53801, 50965, 52140, 50973, 78240, 80152, 50433, 50973, 61868, 51028, 56532, 50973, 54746, 51028, 62924, 50973, 65780, 51028, 68384, 58383, 50461, 67563, 50464, 51028, 51697, 50468, 50973, 50987, 50474, 50965 ]

[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 5540, 13305, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 85, 7630, 6568, 10, 19448, 8, 8520, 5466, 6, 10686, 13, 304, 11, 3541, 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 ]

[ 54458, 50441, 50871, 52460, 55694, 52335, 50415, 51234, 54861, 50437, 51050, 61017, 50871, 55812, 55898, 64880, 50997, 60243, 69341, 50877, 51961, 50441, 66283, 50451, 50902, 51363, 50460, 50931, 50977, 56020, 51081, 51177, 50427, 51197, 51210, 50431, 50997, 51022, 50439, 51081, 51677, 50861, 52168, 50440, 50906, 58651, 66243, 50999, 51312, 50433, 50871, 53280, 50446, 50951, 52434, 50307, 51524, 50458, 50931, 50915, 50459, 50906, 56374, 50899, 52618, 50460, 50871, 59170, 51050, 56123, 56020, 51081, 60733, 50876, 51097, 50434, 50956, 54298, 50877, 53866, 80122, 56329, 51050, 54829, 50444, 50902, 51212, 50445, 50899, 52518, 50454, 51001, 51534, 50455, 50900, 52048, 52177, 50951, 57050, 76243, 50871, 52407, 50430, 50997, 55505, 50294, 52192, 50441, 50876, 68699, 51051, 50442, 51050, 51051, 50900, 52179, 50452, 50902, 51212, 50453, 50906, 52378, 50997, 52048, 50871, 60243, 50899, 54521, 51601, 50931, 63829, 50876, 52062, 78312, 53866, 50900, 53697, 50877, 54829, 51050, 52460, 62322, 52460, 50448, 51050, 52378, 50458, 51197, 53096, 52591, 50871, 51283, 50422, 51085, 54298, 50431, 51120, 51862, 50443, 50906, 52335, 50444, 51234, 51074, 51809, 50871, 54228, 50417, 51050, 62321, 50899, 76297, 50997, 53838, 50448, 50877, 51709, 50461, 70254, 57731, 50902, 51480, 77431, 64781, 51146, 72688, 51378, 51376, 50452, 50899, 62321, 50459, 51146, 51422, 50461, 50876, 53486, 50902, 54829, 50877, 51922, 50796, 50451, 51062, 51109, 51601, 51081, 51255, 50424, 50999, 51194, 50435, 51026, 55036, 50311, 56374, 50902, 54557, 51081, 51003, 50447, 51146, 69780, 50951, 50862, 52478, 51081, 68503, 52059, 50997, 51524, 50871, 52192, 50429, 50999, 51115, 50876, 51806, 50871, 52147, 78313, 51703, 50440, 50931, 50995, 50449, 50877, 58223, 51147, 50845, 50460, 50973, 78068, 54298, 50461, 50899, 54861, 60212, 50951, 50932, 50425, 50916, 53577, 50906, 54836, 50900, 54573, 50435, 50876, 51806, 50445, 50999, 50995, 64118, 54521, 50456, 50916, 51862, 50461, 63095, 52591, 50931, 52783, 50421, 50877, 56329, 50900, 53055, 50422, 51050, 51432, 50431, 51026, 51022, 50442, 51197, 54836, 50456, 50871, 51642, 51085, 51432, 57731, 50906, 51679, 50425, 51234, 51387, 50443, 50906, 66924, 51050, 65527, 50997, 61887, 50871, 54228, 55989, 58306, 59412, 50877, 51709, 50436, 50906, 51775, 50446, 50902, 51242, 50455, 58398, 51809, 51081, 51101, 50421, 51197, 51470, 56759, 73632, 51081, 51677, 73866, 52783, 50435, 50906, 53678, 60212, 50999, 51380, 50871, 51447, 50437, 50951, 51101, 50956, 51470, 50449, 50931, 55247, 50899, 54211, 50906, 59170, 50871, 71133, 50451, 51050, 52441, 50461, 75490, 57731, 50876, 51411, 50424, 50956, 78068, 55586, 50877, 55086, 50425, 51050, 53486, 50433, 50902, 51177, 50434, 50899, 51884, 50443, 51001, 51411, 55513, 52378, 50454, 50951, 50813, 53069, 50906, 51337, 55961, 52528, 50997, 51376, 50421, 51120, 51432, 50431, 50876, 59437, 53998, 50900, 52216, 50297, 51142, 50442, 50902, 50981, 50443, 50899, 51576, 50906, 52056, 50997, 52056, 50454, 50931, 50813, 52177, 50876, 51662, 50900, 52431, 50877, 52407, 50418, 50871, 54829, 51050, 51852, 50427, 51026, 52034, 50437, 51050, 51709, 50447, 51197, 52048, 50457, 77920, 50458, 51085, 54848, 52591, 51120, 51470, 63931, 51243, 50433, 51234, 51824, 50452, 50997, 55016, 50306, 76297, 50871, 54211, 51050, 66595, 50796, 50437, 50877, 61637, 50906, 52188, 50460, 50902, 51576, 56020, 50931, 61231, 51146, 51328, 50439, 51378, 52731, 50445, 50899, 64880, 50451, 51146, 53142, 50452, 50876, 55586, 50902, 56329, 50453, 50877, 60237, 50796, 50445, 51062, 51484, 50455, 51081, 51337, 52177, 50999, 51363, 50428, 51081, 70062, 52440, 50429, 50861, 60243, 50430, 51026, 74478, 50440, 51146, 51328, 50449, 50951, 57400, 51081, 50878, 51028, 51884, 50460, 50997, 55505, 50309, 51824, 56020, 50999, 51535, 50900, 52263, 72784, 53957, 50871, 52440, 77431, 50995, 50442, 50877, 55371, 51147, 51212, 50454, 50973, 74997, 53726, 50455, 50899, 51697, 53069, 50951, 51199, 53502, 55586, 50916, 53577, 50906, 53096, 50430, 78227, 50439, 50999, 66977, 50899, 53892, 59758, 51524, 50454, 63095, 50461, 50931, 51314, 54852, 52212, 50900, 52440, 51050, 51884, 50424, 51026, 63801, 51197, 54298, 50447, 50871, 51309, 50448, 51085, 52731, 50461, 50906, 52335, 54662, 61489, 50433, 50997, 58090, 50899, 50363, 50410, 51050, 76297, 50871, 55574, 51601, 50877, 51333, 50429, 50906, 51806, 50439, 77743, 50448, 50931, 63181, 51147, 62533, 51001, 77803, 52179, 51050, 50971, 60212, 51147, 51677, 51086, 53697, 50902, 54829, 50425, 51026, 53866, 50435, 50899, 54829, 50445, 50861, 55844, 50454, 50973, 51074, 51809, 50951, 51101, 50427, 50931, 51255, 50428, 51086, 54298, 50438, 51001, 51253, 50439, 50900, 55002, 50442, 50876, 69066, 50448, 50951, 51363, 50457, 57966, 53069, 50902, 51255, 50965, 52216, 50303, 53892, 60284, 52063, 50430, 51001, 51484, 50431, 50900, 52147, 50861, 52048, 51026, 52147, 50441, 50876, 51576, 62291, 51365, 50460, 50902, 51423, 50461, 51176, 53957, 50871, 51524, 57731, 50876, 52136, 50956, 56563, 50424, 51026, 52147, 50433, 50861, 52188, 55513, 51697, 75312, 51884, 51026, 54557, 50455, 50899, 52167, 50871, 51697, 52478, 50861, 51447, 50956, 63160, 50429, 50900, 55765, 50440, 51085, 51166, 50453, 50906, 51645, 50455, 51120, 51524, 55753, 51001, 51592, 50423, 52046, 52782, 50441, 50956, 60326, 50442, 50906, 54344, 50861, 66595, 50997, 66595, 57731, 50902, 51484, 50437, 51001, 51423, 50447, 50951, 51255, 50457, 75490, 52591, 51405, 51101, 50421, 51081, 64189, 52192, 63686, 51123, 50436, 51405, 51662, 50437, 50989, 52397, 55898, 56329, 50999, 63160, 50449, 50877, 54573, 50458, 50902, 51748, 52478, 51114, 50972, 50428, 51146, 51043, 50429, 50999, 55778, 50439, 51062, 51255, 50440, 50989, 55789, 50449, 51081, 51267, 56222, 54590, 50323, 52397, 50460, 51146, 51233, 55753, 50951, 64222, 50999, 51400, 51001, 53010, 50432, 50989, 58483, 50900, 51432, 50442, 51081, 51363, 50443, 50902, 52378, 50861, 53055, 50899, 52440, 50453, 50951, 51534, 51601, 76075, 50425, 50999, 73797, 52460, 56040, 55789, 50861, 56458, 50436, 50951, 51534, 50437, 50906, 52147, 50899, 53801, 50446, 50902, 51381, 72786, 51387, 52591, 77743, 50421, 50876, 51123, 50899, 56329, 50989, 56123, 63975, 51878, 50433, 50906, 53674, 73866, 52011, 50446, 50956, 55776, 50459, 50876, 51703, 50460, 50871, 52147, 50877, 61124, 50796, 50430, 51050, 55778, 50446, 56963, 50454, 50906, 52335, 50455, 51234, 61164, 50796, 53645, 59170, 50899, 50363, 50410, 50427, 51050, 50363, 50410, 50429, 50997, 56612, 50459, 50877, 51333, 60212, 50906, 52783, 50435, 50902, 51645, 50446, 50931, 58223, 51081, 50892, 51601, 51197, 51697, 50421, 50997, 70813, 51081, 52431, 50861, 51749, 50906, 76297, 56020, 79173, 50999, 52188, 50436, 50951, 77964, 51254, 50449, 50931, 51381, 50451, 50899, 53674, 50871, 55002, 50452, 51050, 56374, 51601, 51081, 52921, 50876, 51775, 50956, 53010, 73343, 56329, 50877, 55086, 51050, 52783, 50437, 50902, 51328, 50899, 52482, 50448, 51001, 51642, 50449, 50900, 53096, 50461, 50951, 50867, 55746, 50906, 51328, 73343, 53801, 50997, 59977, 50294, 51824, 50440, 50876, 68699, 60887, 51050, 50851, 50900, 51254, 50452, 50902, 51253, 50997, 53096, 50453, 50899, 52063, 50906, 53697, 51809, 50931, 63567, 50876 ]

[ 0, 250, 15352, 30054, 5175, 8, 3495, 1619, 2214, 14, 7630, 6568, 10, 1372, 8, 19448, 6711, 6, 4246, 10, 6755, 12547, 6, 1076, 560, 31365, 25999, 6, 21979, 8, 3459, 29589, 6, 8, 3459, 9590, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 6, 21437, 10, 33215, 16739, 9, 274, 6, 230, 6, 272, 6, 8, 230, 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 ]

[ 54458, 60212, 51567, 51486, 51855, 51352, 50459, 51722, 51095, 51813, 50975, 52478, 51567, 51110, 51855, 59216, 51722, 51162, 51813, 50993, 50433, 51584, 50889, 52088, 51059, 50447, 53169, 51795, 50448, 51584, 51538, 50796, 50442, 51722, 50914, 50443, 52679, 50914, 52456, 51066, 50457, 52679, 50943, 51722, 51191, 52456, 51059, 57731, 52088, 51059, 50424, 52123, 50943, 51584, 71380, 52041, 50943, 51555, 51346, 51813, 51059, 50452, 50945, 51091, 51783, 53259, 51584, 53259, 52088, 52442, 53552, 57319, 52093, 53069, 51011, 60194, 52437, 76997, 74600, 51262, 73472, 54218, 51187, 57398, 51133, 51204, 53552, 59797, 80190, 68541, 74600, 51262, 50846, 51355, 63865, 51271, 51111, 56208, 58464, 51133, 51370, 50818, 52354, 51091, 53552, 58158, 52093, 50428, 51011, 60194, 53593, 76997, 74600, 51262, 50818, 51355, 50840, 55935, 51187, 58829, 51133, 51091, 53552, 52396, 52093, 50457, 68541, 74600, 51262, 73472, 50840, 51271, 51111, 56208, 50818, 51809, 51032, 51060, 51133, 52201, 58423, 51788, 50859, 50945, 51091, 53552, 56999, 51788, 50859, 62246, 51788, 50800, 51011, 60194, 58500, 51788, 51060, 76997, 74600, 51262, 50818, 51355, 54472, 51187, 61425, 51032, 51112, 51133, 51204, 53552, 57319, 52093, 52478, 51265, 50808, 74600, 51262, 50818, 51355, 61923, 64921, 51271, 51111, 56208, 52437, 51032, 50859, 51133, 52201, 57201, 51788, 51345, 50945, 51091, 53552, 59797, 52093, 50448, 51788, 50800, 51011, 60194, 57109, 76997, 74600, 51262, 73472, 58014, 51788, 54047, 66069, 50799, 51563, 51091, 51133, 51204, 53552, 58158, 52093, 50428, 51438, 51294, 68541, 64417, 51262, 50846, 70099, 51271, 51116, 56208, 58024, 51133, 55744, 58431, 51292, 52382, 50964, 51091, 53552, 52396, 52093, 50457, 51019, 51204, 66079, 51809, 76910, 74600, 51350, 76409, 54218, 51187, 59095, 50953, 50889, 53552, 56999, 62246, 76910, 74600, 51350, 76409, 50840, 51011, 54416, 51187, 58500, 50953, 52201, 59671, 50964, 51091, 53552, 57319, 52093, 53069, 51019, 60194, 52437, 70310, 74600, 51350, 50887, 51250, 54499, 51187, 57398, 50953, 51091, 53552, 59797, 80190, 70310, 51223, 50818, 51350, 50884, 62594, 50448, 51011, 51626, 51187, 58464, 51032, 51060, 50953, 52201, 50818, 50799, 53019, 51227, 50964, 51091, 53552, 58158, 52093, 50428, 53019, 50859, 51019, 51204, 50791, 53593, 70310, 51223, 50846, 51350, 50884, 51250, 61385, 53019, 51158, 56208, 58829, 51788, 51362, 50953, 51204, 53552, 52396, 52093, 50457, 51563, 51091, 76910, 51223, 50846, 51350, 50887, 62594, 51011, 51111, 56208, 50818, 51809, 50953, 53710, 58423, 53019, 51345, 50964, 51091, 53552, 56999, 62246, 53019, 50859, 51019, 51204, 50791, 58500, 53019, 50859, 70310, 51223, 50818, 51350, 50884, 51250, 54499, 51187, 61425, 51788, 51294, 50953, 51204, 53552, 57319, 52093, 52478, 72826, 74600, 51350, 50818, 51250, 60400, 51563, 51362, 51011, 51060, 56208, 52437, 50953, 52201, 57201, 51032, 54454, 50945, 51091, 53552, 59797, 52093, 50448, 51011, 51204, 50791, 57109, 51265, 78103, 50809, 51262, 50884, 51355, 59310, 56208, 50828, 54272, 51204, 53552, 58158, 52093, 50428, 76997, 51223, 50846, 51262, 50818, 51355, 50840, 51271, 50938, 56208, 58024, 51133, 52201, 58431, 50945, 51091, 53552, 52396, 52093, 50457, 51011, 51204, 66079, 51809, 51265, 50809, 74600, 51262, 50884, 51355, 54218, 51187, 59095, 51133, 51091, 53552, 56999, 62246, 76997, 51223, 50846, 51262, 50884, 51355, 50840, 51271, 51060, 56208, 58500, 51032, 51060, 51133, 52201, 59671, 53729, 51345, 50945, 53305, 51239, 57319, 52093, 53069, 53729, 50859, 51011, 51204, 50791, 52437, 53729, 50859, 51265, 78103, 50818, 51262, 50884, 51355, 54499, 51187, 57398, 53019, 51362, 51133, 51204, 53552, 59797, 80190, 76997, 74600, 51262, 50884, 51355, 63865, 51788, 51158, 51271, 51060, 56208, 58464, 51788, 51158, 51133, 52201, 50818, 50799, 53729, 51112, 50945, 51091, 53552, 58158, 52093, 50428, 53729, 50800, 51011, 51204, 50791, 53593, 51265, 50809, 74600, 51262, 50884, 51355, 61300, 53729, 51158, 56208, 58829, 53019, 51294, 51133, 51204, 53552, 52396, 52093, 50457, 51788, 51294, 76997, 51223, 50809, 51262, 73472, 50840, 51271, 51111, 56208, 50818, 51809, 51133, 52201, 58423, 51067, 54454, 51186, 51294, 53552, 56999, 62246, 51271, 51204, 50791, 58500, 51436, 50809, 51195, 50840, 51262, 50884, 51543, 54499, 51187, 61425, 51720, 51091, 53552, 57319, 52093, 52478, 51436, 50809, 51195, 50809, 51262, 50884, 51543, 63244, 52018, 51111, 56208, 52437, 51720, 52201, 57201, 51186, 51204, 53552, 59797, 52093, 50448, 51438, 51362, 51271, 51204, 50791, 57109, 51436, 50840, 51195, 50809, 51262, 50895, 51543, 58464, 56208, 50828, 50799, 51563, 51294, 51720, 51091, 53552, 58158, 52093, 50428, 53019, 51294, 51436, 50840, 51195, 50809, 51262, 50818, 51543, 50809, 52018, 51346, 56208, 58024, 51720, 53710, 58431, 51788, 51158, 50945, 51091, 52233, 52919, 51821, 53651, 51701, 52919, 53552, 52396, 52866, 51158, 52093, 50457, 51788, 51060, 51011, 60194, 50818, 51809, 52866, 51111, 51265, 78103, 50818, 51262, 50895, 51355, 54499, 51187, 59095, 51788, 51060, 51133, 53305, 51239, 56999, 52866, 51060, 52093, 50437, 51265, 52444, 51788, 51294, 74600, 51262, 50887, 69660, 51271, 50991, 56208, 58500, 51133, 52201, 59671, 51032, 51358, 50964, 51091, 52091, 53233, 51678, 53380, 51716, 53753, 53552, 57319, 52093, 53069, 51019, 60194, 52437, 76910, 51223, 50846, 51350, 50818, 51250, 54212, 51187, 57398, 50953, 51204, 53552, 59797, 51292, 51173, 80190, 72826, 74600, 51350, 76409, 61190, 51563, 51091, 51011, 50967, 56208, 58464, 50953, 51370, 50818, 50799, 51438, 54454, 50945, 51091, 51821, 53651, 51701, 54143, 51716, 53487, 53552, 58158, 52093, 50428, 51011, 51204, 50791, 53593, 76997, 51223, 50818, 51262, 50884, 51355, 50840, 55935, 51187, 59117, 51299, 50921, 50443, 51133, 51204, 53552, 57000, 52065, 51757, 51299, 50936, 52093, 50454, 52065, 59747, 76997, 74600, 51262, 50884, 51355, 50840, 51271, 51095, 51299, 50921, 56208, 56904, 52065, 50830, 51809, 51133, 50910, 51299, 54196, 52432, 52065, 50830, 50424, 50964, 51091, 51299, 51014, 52091, 53651, 51678, 53753, 51716, 53380, 53552, 56171, 51794, 58656, 51299, 51541, 50431, 52093, 56903, 60194, 58500, 51223, 50818, 51350, 50884, 62594, 51368, 52467, 51187, 61425, 50953, 51091, 53552, 57319, 52093, 52478, 70310, 51223, 50818, 51350, 50884, 62594, 50419, 51011, 51060, 56208, 52437, 51032, 51060, 50953, 52201, 57201, 51788, 51227, 50945, 51091, 53552, 59797, 52093, 50448, 51788, 51294, 51011, 60194, 57109, 76997, 74600, 51262, 50818, 51355, 62267, 56208, 50828, 68892, 51345, 51133, 51204, 53552, 58158, 52093, 50428, 51032, 51345, 51265, 50808, 74600, 51262, 50818, 51355, 50828, 51271, 51111, 56208, 58024, 51133, 52201, 58431, 51788, 51345, 50945, 51091, 53552, 52396, 52093, 50457, 51788, 51343, 51011, 60194, 50818, 51809, 76997, 74600, 51262, 73472, 54212, 51187, 59095, 51133, 51204, 53552, 56999, 51563, 51158, 62246, 51438, 51294, 68541, 64417, 51262, 50846, 70099, 51271, 51116, 56208, 58500, 51133, 55744, 59671, 51292, 54454, 50964, 51091, 53552, 57319, 52093, 53069, 51019, 51204, 50791, 52437, 76910, 74600, 51350, 76409, 54218, 51187, 57398, 50953, 50889, 53552, 59797, 52093, 50448, 76910, 74600, 51350, 76409, 50840, 51011, 54416, 51187, 58464, 50953, 52201, 50818, 52534 ]

[ 0, 250, 15352, 30054, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 278, 11, 5, 762, 9, 381, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 4, 20, 15229, 16, 17407, 30, 10, 16331, 33215, 13931, 9, 274, 10431, 119, 406, 6, 272, 401, 6, 8, 381, 6, 6946, 7, 63, 20425, 648, 2829, 2933, 13569, 9862, 6, 150, 67, 7630, 14805, 10, 1472, 9, 11098, 8, 657, 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 ]

[ 56103, 51279, 56036, 55648, 51650, 55267, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 52848, 51324, 51626, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 51279, 51650, 52668, 52848, 51324, 56190, 61907, 51626, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 74780, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51626, 54024, 50804, 55446, 51279, 56036, 55648, 51650, 51779, 58910, 70864, 54504, 51324, 56190, 61907, 51626, 53300, 50804, 51628, 51279, 51626, 50803, 52594, 55381, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 51779, 70546, 70864, 50851, 54141, 50882, 52612, 51757, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 50803, 53061, 54403, 72850, 52198, 50803, 55547, 66843, 56036, 55648, 51650, 55267, 64991, 53066, 51279, 56036, 56036, 55648, 51650, 52668, 52710, 51324, 56036, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 56036, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 74780, 52229, 52668, 52163, 51279, 66843, 56036, 55648, 51650, 60267, 54594, 67858, 56036, 55648, 51650, 64991, 56624, 50861, 51835, 51279, 54828, 56036, 55648, 51650, 52668, 52710, 51324, 54828, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 56036, 51650, 51475, 52729, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 64991, 51820, 70819, 52848, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 52229, 52668, 52163, 50801, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 52831, 50804, 55920, 75057, 53187, 54672, 50801, 52229, 64824, 52229, 52668, 53532, 50801, 54403, 51279, 56036, 55648, 51650, 51740, 53255, 54421, 75057, 50800, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51740, 52668, 52729, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 64991, 51820, 70819, 52848, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 52229, 52668, 52163, 50801, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 51820, 70819, 74780, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 64991, 51820, 70819, 52848, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 52229, 52668, 52163, 50801, 60267, 55547, 56036, 55648, 51650, 64991, 53066, 51279, 56036, 55648, 51650, 52668, 52710, 51324, 56190, 61907, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 54666, 57022, 51650, 64991, 52831, 50804, 55920, 75057, 53187, 54672, 50801, 52229, 64824, 52229, 52668, 52163, 51279, 56036, 55648, 51650, 51740, 53255, 54421, 75057, 50800, 55547, 56036, 55648, 51626, 59714, 52244, 51279, 56036, 55648, 51650, 54856, 51324, 56190, 61907, 51650, 52119, 51279, 51626, 58731, 52057, 51085, 68518, 59153, 57543, 60939, 56831, 61241, 53305, 52284, 50801, 54988, 51324, 50807, 51378, 65287, 57543, 64953, 51114, 52496, 56327, 50803, 54734, 51036, 51085, 59578, 51858, 55456, 52244, 51027, 50983, 56207, 51161, 50876, 51161, 50931, 51161, 50999, 68110, 54984, 74193, 51724, 51027, 55755, 51858, 64824, 54984, 51754, 50801, 50800, 53997, 51036, 51026, 59578, 51858, 51835, 50916, 50983, 54439, 51161, 50876, 51161, 50968, 51161, 50951, 68110, 54984, 74193, 55381, 50916, 66800, 51820, 50801, 52911, 50801, 64824, 54984, 51754, 50801, 50800, 54868, 51036, 51027, 59578, 51858, 51835, 50989, 50983, 56207, 51161, 50902, 51161, 51114, 51161, 50999, 68110, 54984, 74193, 51724, 50989, 55755, 51858, 51820, 50801, 50882, 51382, 54984, 51754, 50801, 50800, 55547, 51650, 51858, 51835, 51279, 51631, 51085, 54666, 51161, 50968, 51161, 50951, 51161, 51062, 68110, 54984, 51628, 51279, 51650, 55381, 51279, 52152, 51820, 51279, 51650, 52911, 50801, 51757, 51085, 51626, 54984, 51754, 51279, 51650, 50800, 55547, 54666, 64806, 51036, 50968, 51036, 50951, 51036, 51062, 51036, 56468, 50812, 54519, 51835, 51279, 50795, 53327, 51973, 51085, 51626, 51049, 52749, 51279, 51626, 50803, 52594, 51724, 51279, 56190, 51370, 56358, 50801, 52284, 51279, 54666, 51626, 50803, 52612, 54988, 51085, 56190, 51626, 51052, 55874, 51224, 52163, 51279, 56036, 60020, 50803, 55547, 56036, 53305, 55267, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 52729, 51085, 54828, 51650, 64991, 51820, 50989, 51650, 52668, 52848, 51324, 51626, 52229, 52668, 52163, 51279, 51650, 60267, 55547, 51650, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 56190, 51650, 64991, 51820, 51279, 54666, 51650, 52668, 52848, 51324, 56190, 51626, 52229, 52668, 52163, 51279, 56036, 51650, 60267, 55547, 56036, 53305, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 52729, 51085, 54828, 51650, 64991, 51820, 50989, 51650, 52668, 52848, 51324, 57341, 51626, 52229, 52668, 52163, 51279, 66843, 51650, 60267, 55547, 66843, 51650, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 56190, 51650, 64991, 51820, 51279, 54666, 51650, 52668, 52848, 51324, 56190, 51626, 52229, 52668, 52163, 51279, 56036, 51650, 60267, 55547, 56036, 53305, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 52729, 51085, 54828, 51650, 64991, 51820, 50989, 51650, 52668, 52848, 51324, 51626, 52229, 52668, 52163, 51279, 51650, 60267, 55547, 51650, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51475, 52729, 51085, 56190, 51650, 64991, 51820, 51279, 54666, 51650, 52668, 52848, 51324, 56190, 51626, 52229, 52668, 52163, 51279, 56036, 51650, 60267, 55547, 56036, 53305, 64991, 56624, 50801, 51835, 51279, 51650, 52668, 52710, 51324, 59625, 51626, 52229, 52668, 52119, 51279, 57341, 51650, 51475, 54112, 50856, 52841, 51085, 54828, 54666, 51650, 64991, 51820, 50989, 56190, 51650, 52668, 52848, 51324, 57341, 56036, 51626, 52229, 52668, 52163, 51279, 66843, 56036, 51650, 60267, 55547, 66843, 56036, 53305, 64991, 53066, 51279, 51650, 52668, 52710, 51324, 51626, 52229, 52668, 52119, 51279, 51650, 51740 ]

[ 0, 250, 765, 37903, 9, 5175, 930, 19, 10, 2933, 8, 5679, 26709, 5466, 6, 4246, 30587, 8669, 6, 3459, 9590, 6, 38668, 11212, 6, 21072, 6, 8, 6755, 12547, 6, 70, 8216, 7, 5, 15352, 30054, 15229, 11, 12608, 538, 8, 204, 73, 306, 86, 6543, 23, 10, 1769, 20889, 9, 10529, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 51348, 51352, 51096, 50993, 53361, 51352, 55340, 51352, 55796, 66984, 62297, 62643, 51096, 51029, 63687, 68759, 60493, 51488, 52409, 66519, 59678, 68071, 51096, 50993, 51488, 51880, 67413, 51511, 51352, 51796, 50993, 54165, 51352, 53465, 51352, 56679, 66984, 62297, 73481, 51796, 51407, 56079, 51599, 62297, 50860, 52478, 63687, 59236, 51395, 50803, 56079, 52677, 62297, 66057, 59678, 51300, 50430, 51395, 51880, 67476, 51473, 51352, 51213, 51407, 53654, 51352, 53361, 51352, 55340, 66984, 62297, 73422, 59678, 54132, 70937, 59678, 57303, 51905, 50803, 59678, 52677, 50860, 51809, 59678, 60442, 51213, 50993, 59678, 54132, 65644, 59678, 50824, 50428, 51511, 51352, 51325, 50993, 54165, 51352, 53465, 51352, 56679, 66984, 62297, 66519, 51325, 51407, 59678, 51599, 62297, 70636, 59678, 59116, 51811, 50803, 59678, 52677, 62297, 72477, 59678, 51300, 50455, 50832, 50860, 51809, 51348, 51352, 51096, 51407, 54522, 51352, 52693, 66984, 62297, 65644, 56079, 54132, 54684, 63687, 52674, 76021, 56079, 52677, 61870, 59678, 53681, 51096, 75909, 62183, 51143, 51352, 50964, 50993, 56079, 50802, 53460, 51352, 52507, 66984, 62297, 60271, 56079, 50993, 52534, 57520, 62297, 56111, 56079, 52801, 51811, 50803, 56079, 67396, 62297, 54684, 50964, 75909, 73480, 51885, 51352, 51228, 51407, 63687, 50823, 55080, 51352, 52693, 51352, 54165, 66984, 62297, 63999, 63687, 66054, 63687, 55466, 50993, 50455, 56079, 50993, 56875, 50860, 51809, 59678, 50993, 50421, 51228, 75909, 54675, 59678, 58656, 51521, 51352, 51105, 50993, 63687, 50823, 53953, 51352, 52507, 51352, 53361, 66984, 62297, 59618, 63687, 51059, 50439, 51105, 57520, 62297, 73422, 51201, 50803, 63687, 52677, 62297, 70937, 59678, 59868, 51105, 75909, 66426, 59678, 50802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2125, 14, 28337, 4785, 9, 5175, 8, 15855, 930, 6, 4246, 10, 13305, 25, 5, 6922, 10320, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 25306, 5466, 6, 36830, 227, 2933, 8, 19448, 6711, 29, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 15229, 1171, 10, 33215, 16739, 9, 211, 119, 6, 230, 119, 1176, 406, 6, 8, 163, 119, 406, 428, 245, 73, 250, 6, 8216, 7, 63, 5679, 26709, 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 ]

[ 56103, 51034, 50628, 51120, 50959, 50418, 51027, 62658, 51176, 54252, 51027, 70134, 51086, 73418, 51040, 58645, 50899, 54112, 50916, 54181, 50871, 58935, 50916, 54207, 50899, 54672, 70835, 51034, 50906, 51244, 50418, 59139, 50421, 51028, 54252, 59139, 50427, 64413, 50430, 50931, 62886, 50968, 53720, 50902, 52788, 60714, 50877, 51481, 50441, 50968, 54478, 62804, 76684, 50447, 59855, 51034, 74952, 74436, 50418, 50877, 62658, 62389, 50899, 51242, 50423, 59139, 50427, 66310, 51040, 51242, 50430, 50877, 60093, 64413, 51027, 51242, 50435, 50968, 52691, 62389, 50899, 51242, 50441, 50902, 53743, 72372, 50900, 51242, 50447, 79407, 51034, 76598, 50997, 51242, 50418, 59139, 50421, 51081, 50822, 51026, 51242, 50423, 50951, 60092, 72372, 51378, 51242, 50430, 59139, 50433, 51062, 50822, 51120, 51242, 50435, 50999, 52691, 51081, 50822, 51026, 51242, 50441, 50902, 53743, 66310, 51050, 51242, 50447, 59139, 51034, 66374, 51315, 51242, 50418, 51081, 62658, 72372, 50900, 51242, 50423, 50951, 60092, 72372, 51050, 51242, 50430, 59855, 50433, 59139, 51315, 51242, 50435, 50876, 52691, 66768, 51120, 51242, 50441, 50999, 53743, 64413, 50997, 51242, 50447, 62389, 51034, 76598, 51315, 51328, 50418, 50906, 65369, 61524, 51120, 51481, 50423, 61801, 50427, 57472, 51085, 51753, 50430, 60299, 50433, 59715, 51120, 51884, 50435, 50968, 53269, 66735, 51234, 52518, 50441, 50902, 54478, 59663, 51085, 53010, 50447, 69128, 51034, 63095, 51247, 52025, 50418, 50877, 62658, 50906, 54252, 59855, 50427, 59139, 50430, 50968, 60093, 50931, 54378, 50951, 52691, 50999, 57366, 50951, 53743, 50931, 55118, 72752, 51034, 50973, 51148, 50418, 60501, 50421, 51040, 54252, 50899, 60092, 57660, 74413, 60093, 50916, 54378, 50899, 52691, 63077, 78763, 50441, 50861, 53743, 50900, 50822, 50968, 51242, 50447, 63077, 80055, 50959, 50999, 50974, 50418, 51086, 62658, 51040, 50822, 50951, 73639, 51027, 60092, 60501, 50931, 50905, 50430, 50877, 60093, 57660, 50968, 73187, 50877, 52691, 74166, 50902, 50987, 50441, 50899, 53743, 51086, 50822, 50968, 50978, 50447, 51027, 50822, 72151, 50959, 50951, 50892, 50418, 51027, 62658, 51086, 50822, 50931, 73639, 51026, 60092, 50900, 50822, 50968, 50905, 50430, 57660, 50433, 74166, 50902, 73187, 50861, 52691, 63077, 50876, 50987, 50441, 50900, 53743, 51027, 50822, 50968, 50978, 50447, 51026, 50822, 64688, 50959, 50931, 50892, 50418, 51026, 62658, 51027, 50822, 50968, 73639, 51050, 60092, 51086, 50822, 50902, 50905, 74413, 60093, 51027, 50822, 50876, 73187, 50871, 52691, 51176, 50822, 50973, 50987, 50441, 50916, 53743, 51315, 50822, 50902, 50978, 50447, 51086, 50874, 51034, 70688, 51027, 51481, 50418, 50973, 62658, 59855, 51315, 51481, 50423, 59139, 50427, 66310, 51085, 51481, 50430, 50877, 60093, 59139, 51050, 51481, 50435, 50876, 52691, 63503, 51120, 51481, 50441, 50902, 53743, 78675, 51315, 51481, 50447, 66768, 51034, 51279, 50827, 50877, 50981, 50418, 51315, 62658, 51197, 54252, 51315, 60092, 51378, 73418, 51176, 58645, 51027, 56529, 51086, 53415, 50900, 58935, 51086, 52597, 51027, 53668, 50900, 50808, 71213, 51183, 50418, 50999, 62658, 51147, 54252, 50999, 67322, 51146, 64755, 51062, 67592, 51220, 55270, 50999, 54793, 51147, 50822, 50916, 51242, 50441, 51220, 53743, 66310, 50902, 51242, 50447, 51147, 50874, 51034, 50999, 50959, 78763, 50418, 50968, 62658, 51062, 59035, 51242, 50423, 50999, 60092, 51220, 50822, 50965, 51242, 50430, 50968, 64662, 51146, 50844, 50916, 51212, 50435, 51220, 52729, 51062, 69539, 51177, 50441, 50999, 54207, 51430, 69937, 51100, 50447, 51399, 50808, 51034, 75746, 50871, 51111, 50418, 58276, 50421, 51339, 61441, 51111, 50423, 51146, 60262, 51430, 50812, 51040, 51121, 50430, 50999, 60462, 51487, 50833, 51027, 51177, 50435, 51430, 54181, 51339, 61895, 51101, 50441, 50999, 53783, 51220, 50844, 50900, 80059, 72372, 51034, 76598, 51086, 51242, 50418, 51339, 62658, 51430, 50822, 76684, 50423, 51146, 60092, 51430, 72679, 51242, 50430, 50951, 60093, 72372, 51086, 51242, 50435, 50951, 52691, 63095, 51027, 51328, 50441, 51430, 54653, 51146, 64000, 51328, 50447, 51062, 50874, 51034, 51146, 50933, 51086, 51277, 50418, 59715, 50421, 60299, 51027, 51277, 50423, 59715, 50427, 57910, 51026, 51277, 50430, 51146, 67592, 51062, 50851, 51027, 51481, 50435, 51220, 53269, 51062, 50851, 51050, 51481, 50441, 50999, 54478, 60989, 51026, 51481, 50447, 51081, 50912, 51034, 51062, 51712, 50292, 50995, 50418, 51026, 62658, 51378, 54252, 51026, 67322, 51027, 66142, 51086, 60093, 50900, 54378, 50899, 52691, 50916, 57366, 50899, 53743, 50900, 55118, 64410, 51034, 51378, 51310, 50418, 51279, 62658, 51324, 54252, 51085, 60092, 51120, 66142, 51315, 60093, 51120, 50822, 51027, 51242, 50435, 51085, 52691, 51324, 73353, 51242, 50441, 51085, 53743, 51324, 72679, 80059, 51279, 50822, 51034, 51086, 50955, 51214, 50905, 50418, 50871, 62658, 50916, 54252, 50871, 60092, 57660, 50430, 50877, 60093, 50973, 55167, 50876, 52729, 50902, 62079, 50876, 54207, 50906, 55590, 61673, 78458, 51477, 50418, 51026, 62658, 51027, 54252, 51086, 60092, 50900, 66142, 50899, 60093, 50900, 50822, 76684, 50435, 51086, 52691, 51027, 50822, 78763, 50441, 51086, 53743, 51027, 50822, 50973, 80059, 51026, 50874, 51034, 64645, 51050, 51242, 50418, 50968, 62658, 63009, 51378, 51212, 50423, 60215, 50427, 62680, 51026, 51101, 50430, 50931, 58645, 76171, 51176, 51177, 50435, 50902, 54181, 60040, 51027, 51121, 50441, 50999, 54207, 68278, 51086, 79860, 66188, 51034, 78966, 50900, 50892, 50418, 62389, 50421, 59139, 51176, 73639, 50968, 60092, 59855, 51027, 50905, 50430, 59139, 50433, 67642, 51315, 73187, 50876, 52691, 62804, 51050, 50978, 50441, 50876, 53743, 67642, 51197, 50978, 50447, 60124, 51034, 51315, 50955, 50965, 50981, 50418, 51086, 62658, 50997, 54252, 51086, 60092, 51040, 66142, 50956, 60093, 63077, 50973, 54378, 50989, 52691, 78675, 50968, 58709, 50916, 53743, 80255, 50902, 55118, 70226, 78031, 59772, 50892, 50418, 50968, 62658, 50916, 71029, 54252, 50968, 60092, 50900, 75162, 66142, 51147, 60093, 51086, 50820, 50999, 54378, 51220, 52691, 51027, 50822, 51062, 51058, 50441, 51086, 53743, 50861, 68095, 55118, 51027, 50822, 68866, 50874, 50989, 50981, 50418, 51027, 62658, 51176, 54252, 51027, 60092, 51086, 66142, 51040, 60093, 50899, 59035, 54378, 50916, 52691, 80255, 50902, 58709, 50899, 53743, 63077, 50876, 55118, 80255, 51034, 79623, 50861, 50974, 50418, 59139, 50421, 60501, 51028, 54252, 59139, 50427, 51086, 50822, 50968, 66142, 51114, 60093, 51027, 50822, 50951, 54378, 50999, 52691, 51026, 50822, 51081, 51058, 50441, 51027, 53743, 51086, 68897, 50978, 50447, 51026, 50822, 64507, 50874, 50916, 50981, 50418, 51026, 62658, 51378, 54252, 51026, 60092, 51027, 66142, 51086, 60093, 50900, 50822, 76684, 50435, 50899, 52691, 63077, 78763, 50441, 50900, 53743, 60501, 50973, 80059, 63077, 51034, 50877, 65037, 50974, 50418, 59855, 50421, 50900, 50822, 50973, 54252, 60215, 50427, 51027, 50844, 51001, 58779, 50968, 60733, 51026, 50854, 51114, 55098, 50951, 52841, 51378, 50808, 50999, 50977, 50441, 51026, 51820, 51027, 71420, 53668, 51378, 50821, 51034, 51324, 68519, 50893, 50418, 51378, 60721, 50997, 52296, 50956, 56919, 50871, 60133, 57579, 50433, 51197, 50800, 50973, 52262, 51114, 51724, 51315, 50859, 50968 ]

[ 0, 250, 15352, 30054, 5175, 8, 3495, 2214, 4246, 1076, 560, 31365, 25999, 6, 21979, 8669, 6, 1515, 21305, 6, 38668, 22052, 6, 8, 24896, 4, 20, 9571, 35810, 561, 7, 1045, 10, 3366, 219, 8, 5679, 26709, 5466, 6, 7630, 14805, 10, 1472, 9, 657, 8, 26545, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 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, 50796, 55746, 52457, 51427, 52135, 51653, 50438, 52457, 50993, 52135, 58348, 52457, 50993, 52135, 50993, 53534, 50993, 54103, 51407, 51667, 52266, 59113, 53002, 58943, 53002, 54924, 53002, 53005, 57639, 52379, 50420, 51125, 60545, 50854, 50850, 63670, 53065, 53548, 51019, 54482, 51779, 51805, 55736, 51149, 58434, 67443, 75471, 53340, 54957, 51011, 50993, 53005, 57736, 55119, 51149, 50862, 51125, 75471, 53340, 63154, 54103, 54145, 51019, 50975, 51667, 54214, 66135, 54450, 51149, 54879, 62258, 50866, 51439, 55325, 50890, 53534, 50993, 52457, 51054, 52135, 50824, 53370, 51655, 53005, 57188, 55853, 51149, 50810, 51125, 63670, 51559, 53939, 51019, 50975, 54103, 51072, 51667, 51603, 68153, 51805, 54151, 50850, 66852, 50867, 51149, 63670, 51559, 54957, 51011, 50993, 52376, 51066, 52226, 52299, 51052, 54586, 50850, 66852, 50867, 51149, 50857, 51439, 51559, 54411, 51019, 50993, 51652, 50824, 52113, 59387, 66135, 54647, 50850, 67443, 60545, 63670, 53340, 50962, 55975, 71366, 52522, 51184, 51633, 55362, 52288, 50993, 54511, 54454, 56490, 51655, 53005, 55777, 55119, 51007, 50836, 51840, 53330, 54392, 51011, 54482, 51779, 51805, 56629, 50850, 59864, 50836, 51840, 53340, 50880, 53758, 50993, 53005, 60159, 50850, 69426, 50836, 51840, 52873, 54411, 51011, 51599, 77801, 54210, 51205, 56491, 69426, 50809, 51840, 54345, 74626, 52198, 50811, 52288, 50975, 50850, 69426, 50840, 51840, 53630, 51779, 51156, 57639, 57480, 51011, 57759, 52057, 51205, 55311, 52116, 51228, 55311, 50823, 50799, 52196, 50975, 78233, 59113, 53002, 54511, 53002, 56490, 53002, 53005, 57606, 50850, 59864, 50855, 51840, 51559, 52329, 51011, 54482, 51779, 51805, 71712, 52196, 60648, 51007, 60957, 50857, 51840, 53340, 55395, 52196, 50993, 73182, 53005, 56843, 50850, 59864, 50855, 51840, 53340, 52555, 53339, 50802, 51011, 54482, 66135, 55577, 51840, 58434, 59864, 52873, 50890, 50799, 53339, 51066, 78233, 53005, 57242, 50850, 70175, 50862, 51840, 51559, 54818, 52196, 50802, 51011, 54482, 58163, 54053, 51840, 56608, 59864, 52873, 54957, 52196, 68342, 50993, 53005, 56843, 51840, 56608, 70175, 52873, 53711, 51011, 53236, 66135, 54647, 53780, 70213, 56491, 51177, 51007, 51111, 51840, 54068, 50930, 55975, 50880, 50799, 53780, 50976, 50927, 51072, 53005, 55180, 56105, 51007, 50836, 51840, 53340, 54818, 53780, 50976, 51011, 54482, 58163, 56629, 51840, 60957, 69426, 52217, 62256, 53780, 51072, 53758, 50976, 53005, 55933, 50850, 68820, 65994, 52873, 54411, 51946, 50976, 51011, 54482, 77801, 56354, 55119, 51007, 50836, 51840, 53340, 50895, 52288, 50975, 53005, 66828, 51946, 63853, 51840, 50855, 56105, 51007, 52675, 53939, 53780, 50860, 51011, 50976, 51840, 55136, 58163, 55649, 51840, 60957, 69426, 52217, 54957, 53780, 51059, 50927, 51072, 53005, 60159, 50850, 69426, 50855, 51840, 52873, 54755, 51011, 53236, 52865, 51156, 55891, 64633, 55119, 51007, 50836, 51840, 52938, 50930, 55975, 50887, 50799, 53780, 51029, 50927, 51066, 53005, 55180, 51840, 50862, 56105, 51007, 52873, 55447, 51011, 54482, 51779, 51805, 56629, 51007, 50855, 51840, 58434, 53199, 53294, 52196, 51407, 50927, 50993, 53005, 57736, 51840, 50854, 56105, 51007, 52217, 54411, 51011, 55877, 77801, 57701, 51840, 50854, 55119, 51007, 53330, 50880, 52288, 50975, 53005, 57606, 50850, 69426, 50855, 51840, 53340, 53939, 52196, 51066, 51011, 53236, 58163, 56257, 78152, 55853, 51007, 51400, 51840, 59330, 54459, 53339, 50993, 78233, 53005, 57736, 56105, 51007, 50812, 51840, 53330, 55510, 51011, 54482, 77801, 72634, 52196, 59315, 51840, 62812, 69426, 52675, 50930, 55975, 57614, 54924, 53002, 58943, 53002, 53534, 50976, 53370, 53002, 53005, 59980, 53064, 61912, 51125, 50855, 56105, 51439, 51420, 53939, 51019, 54482, 58163, 55736, 51125, 58243, 50836, 51439, 52675, 54957, 51011, 68117, 60159, 77770, 51439, 58720, 52217, 55268, 51019, 55877, 77801, 57701, 51213, 56491, 66689, 74869, 52873, 50887, 53534, 50976, 53005, 57188, 50850, 66689, 50836, 51149, 74869, 52873, 54818, 51019, 55877, 51779, 51805, 56257, 51439, 62812, 66689, 75401, 53340, 54957, 51011, 50976, 53005, 60159, 56105, 51439, 50854, 51125, 75401, 53340, 54411, 51019, 55877, 77801, 52193, 51439, 50854, 50850, 50862, 51125, 75401, 53340, 50930, 55975, 62959, 56490, 53002, 54511, 53002, 50799, 53780, 51072, 78233, 53005, 55180, 51840, 60957, 69426, 52675, 53939, 52196, 50976, 51011, 55877, 51779, 51805, 56629, 51840, 60957, 69426, 52675, 54957, 52196, 51066, 78233, 53005, 60159, 51840, 60957, 65994, 52675, 54755, 51011, 53236, 52865, 52516, 72638, 53339, 58954, 51205, 56491, 69426, 50840, 51840, 52873, 50890, 50799, 53339, 51066, 78233, 53005, 57606, 51840, 58434, 69426, 52873, 54818, 52196, 75159, 55877, 51779, 51805, 55736, 50850, 69426, 50836, 51840, 52873, 68487, 52196, 51009, 53758, 50976, 53005, 57736, 51007, 50840, 51840, 58243, 52873, 54755, 51011, 55877, 66135, 56354, 51007, 50836, 51840, 58243, 52873, 50880, 55975, 50809, 50799, 53780, 60589, 50993, 53005, 54658, 51840, 60957, 69426, 52873, 53939, 53780, 50976, 51011, 55877, 51779, 51805, 56629, 50850, 50862, 51840, 65994, 52873, 55395, 53780, 60589, 50993, 53005, 57736, 51840, 58243, 69426, 52675, 55268, 51011, 53236, 77801, 65134, 51946, 58954, 51205, 56491, 69426, 50840, 51840, 52873, 50887, 52288, 50975, 53005, 71711, 51946, 66463, 51840, 60957, 69426, 52217, 54392, 51011, 55877, 58163, 51010, 50427, 53780, 52030, 51840, 60957, 65994, 52675, 54292, 53780, 51059, 78233, 53005, 60159, 51840, 60957, 65994, 52675, 54411, 51011, 51599, 66135, 56354, 50850, 69426, 50809, 51840, 52217, 50962, 55975, 50887, 50799, 53780, 51029, 51011, 50975, 54924, 53002, 58943, 53002, 53005, 52628, 56105, 51125, 78869, 50862, 51649, 53330, 54392, 51019, 54482, 58163, 55736, 51125, 50810, 56105, 51149, 50862, 51649, 53340, 54957, 52196, 51407, 51011, 50976, 53005, 57736, 51125, 56608, 78869, 50862, 51649, 53340, 55268, 51019, 55877, 77801, 57701, 51213, 56491, 50862, 51125, 60545, 50862, 51649, 53340, 50890, 53534, 50976, 53005, 57188, 51649, 50844, 50850, 50862, 51125, 50867, 51149, 51559, 54392, 52196, 50823, 51019, 55877, 58163, 56257, 56105, 51125, 60545, 50862, 51649, 53340, 67980, 52196, 55276, 51011, 50975, 53005, 64916, 53780, 62186, 67210, 51149, 58434, 65965, 53340, 55268, 51019, 54482, 77801, 72638, 53064, 59315, 56105, 51125, 78869, 50862, 51649, 53340, 50890, 55975, 50840, 50799, 52665, 51184, 73182, 59113, 51655, 56490, 51655, 54511, 51655, 53005, 55180, 50850, 69426, 50840, 51840, 52675, 54392, 51011, 51599, 51779, 51805, 56629, 50850, 69426, 50836, 51840, 52675, 50880, 53758, 50976, 53005, 54989, 51840, 58720, 69426, 52217, 54411, 51011, 51599, 52865, 51156, 53563, 51205, 56491, 69426, 50836, 51840, 54472, 52853, 50880, 52198, 53766, 50890, 52288, 56491, 51110, 51007, 51060, 51840, 65249, 51779, 51156, 65487, 57480, 52196, 50824, 51011, 57759, 52057, 53339, 51059, 51205, 55311, 52116, 53916, 51066, 51228, 54482, 50823, 50799, 52601, 51300, 78233, 56490, 53002, 59113, 53002, 54511, 53002, 53005, 57639, 51870, 50420, 52678, 50950, 51840, 50833, 55119, 51007, 51582, 54818, 51011, 50976, 51760, 54451, 51779, 51805, 56257, 52235, 63518, 59864, 50836, 51840, 53340, 54957, 52601, 51009, 50927, 51066, 53005, 60159, 55119, 51840, 69426 ]

[ 0, 250, 2933, 8, 2635, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 41, 1021, 5901, 1243, 816, 5, 33301, 7513, 30, 30587, 29589, 6, 38668, 9590, 6, 38668, 22052, 6, 8, 21072, 4, 20, 1349, 16, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 25935, 1626, 227, 230, 8, 211, 401, 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 ]

[ 57739, 50799, 67348, 51336, 74773, 51103, 50741, 50284, 52017, 50420, 59041, 56818, 75883, 54477, 57171, 60341, 61855, 52870, 62205, 65416, 64094, 54929, 68477, 56657, 50730, 50344, 52417, 59041, 50837, 50730, 50346, 58608, 75883, 50829, 50730, 50347, 53908, 57171, 50825, 50730, 50349, 58694, 61855, 50835, 50730, 50351, 53116, 61372, 51103, 66208, 51145, 62205, 50835, 50730, 50352, 66085, 64094, 50825, 50730, 50354, 55604, 68477, 50837, 50730, 50356, 58829, 50730, 50344, 53027, 50730, 50346, 59279, 50730, 50347, 53528, 50730, 50349, 58145, 50730, 50351, 52772, 59041, 50891, 50730, 50352, 67099, 75883, 50863, 50730, 50354, 56782, 57171, 50870, 50730, 50356, 58677, 61855, 53553, 62205, 58958, 64094, 55397, 68477, 56772, 50730, 50344, 50908, 50799, 67348, 51336, 74773, 51127, 50730, 50346, 76965, 50730, 50347, 61252, 50730, 50349, 64040, 50730, 50351, 53405, 50730, 50352, 50870, 59041, 65587, 50730, 50354, 50908, 75883, 54604, 50730, 50356, 50837, 57171, 63026, 61855, 52966, 62205, 70573, 64094, 58832, 68477, 64161, 50730, 50344, 53962, 59041, 51258, 50730, 50346, 59516, 75883, 51004, 50730, 50347, 55813, 57171, 51129, 50730, 50349, 58286, 61855, 51129, 50730, 50351, 52904, 61372, 51103, 66208, 51047, 62205, 51004, 50730, 50352, 76779, 64094, 51129, 50730, 50354, 65649, 68477, 51258, 50730, 50356, 63938, 50730, 50344, 59291, 50730, 50346, 64485, 50730, 50347, 68466, 50730, 50349, 73259, 50730, 50351, 54044, 59041, 52611, 50730, 50352, 51129, 50452, 75883, 51306, 50730, 50354, 51306, 50453, 57171, 52445, 50730, 50356, 71880, 61855, 63820, 62205, 51693, 50458, 64094, 52445, 50459, 68477, 52611, 50461, 50730, 50344, 52611, 50799, 52233, 51356, 55613, 51103, 62613, 51359, 58252, 50828, 50704, 50356, 51297, 50415, 51970, 62953, 72083, 56882, 55138, 57441, 64173, 59041, 63094, 75883, 53576, 57171, 50828, 50704, 50356, 79755, 51956, 61855, 56493, 62205, 54579, 64094, 59095, 68477, 62239, 50730, 50344, 52905, 58252, 50829, 50730, 50346, 50884, 50704, 50356, 71874, 51762, 62953, 50839, 50730, 50347, 61146, 56882, 50837, 50730, 50349, 54660, 57441, 50837, 50730, 50351, 58331, 59041, 50825, 50730, 50352, 59483, 75883, 50834, 51361, 50834, 57171, 50829, 50704, 50356, 51123, 50433, 61855, 56565, 62205, 54288, 64094, 62196, 68477, 57352, 50730, 50344, 52766, 67348, 51196, 51931, 74773, 51077, 50730, 50346, 50839, 50704, 50356, 51832, 50439, 50730, 50347, 63442, 58252, 50891, 50730, 50349, 55262, 62953, 50837, 50730, 50351, 59144, 56882, 50982, 50730, 50352, 60862, 57441, 54189, 59041, 50928, 50704, 50356, 50984, 50445, 51956, 75883, 59265, 57171, 55721, 61855, 61333, 62205, 57855, 64094, 53166, 68477, 50870, 50704, 50356, 75030, 52105, 50730, 50344, 69909, 50730, 50346, 55351, 58252, 51004, 50730, 50347, 62476, 62953, 50908, 50730, 50349, 61733, 56882, 51306, 50730, 50351, 50928, 51453, 50834, 57441, 51306, 50730, 50352, 50908, 50704, 50356, 51022, 50457, 59041, 78375, 75883, 59506, 57171, 77054, 61855, 59546, 62205, 51004, 50799, 52233, 51196, 51931, 55613, 51077, 64094, 51129, 50704, 50356, 52794, 50415, 68477, 50982, 50416, 50730, 50344, 51004, 50417, 50730, 50346, 72364, 50730, 50347, 77940, 50730, 50349, 51004, 76799, 50730, 50351, 51258, 50704, 50356, 51832, 50421, 50730, 50352, 51129, 58252, 51258, 50422, 62953, 58362, 56882, 52445, 50424, 57441, 52445, 50425, 59041, 51693, 51544, 50828, 75883, 51129, 50704, 50356, 50984, 50427, 57171, 51258, 50428, 61855, 64838, 58252, 51258, 62205, 51258, 50430, 62953, 50982, 64094, 51306, 50431, 56882, 52445, 68477, 51129, 51361, 50829, 57441, 52445, 50730, 50344, 51258, 50704, 50356, 52794, 50433, 59041, 51693, 50730, 50346, 65627, 75883, 51129, 50730, 50347, 73716, 57171, 51258, 50730, 50349, 51258, 50436, 61855, 51004, 50730, 50351, 51693, 50437, 62205, 51258, 50730, 50352, 58930, 67348, 51196, 51762, 74773, 51077, 64094, 51306, 50704, 50356, 55084, 50439, 68477, 51129, 50440, 50730, 50344, 51258, 50441, 50730, 50346, 69949, 50730, 50347, 51258, 50443, 50730, 50349, 51258, 51180, 50834, 50730, 50351, 51693, 50704, 50356, 51832, 50445, 50730, 50352, 58547, 52105, 50704, 50356, 50984, 51453, 50841, 50704, 50356, 52794, 50799, 52091, 51009, 51320, 52859, 50839, 55091, 51551, 50741, 50284, 51036, 50704, 50356, 51297, 50418, 50798, 54031, 53583, 51949, 50839, 59041, 50820, 50704, 50356, 73192, 75883, 54477, 57171, 60341, 61855, 50841, 51694, 73782, 50835, 62205, 50841, 50704, 50356, 50912, 50428, 64094, 54929, 68477, 56657, 50730, 50344, 52417, 54164, 50863, 59041, 50837, 50730, 50346, 50841, 50704, 50356, 51123, 50434, 75883, 50829, 50730, 50347, 53908, 57171, 50825, 50730, 50349, 62586, 50798, 52050, 58414, 61855, 50835, 50730, 50351, 53116, 52016, 51870, 52924, 64790, 53254, 51356, 62205, 50835, 50730, 50352, 50841, 50704, 50356, 51832, 50440, 64094, 50825, 50730, 50354, 55604, 68477, 50837, 50730, 50356, 59117, 52615, 50969, 58431, 50730, 50344, 50837, 52129, 51041, 73151, 50730, 50346, 50835, 50704, 50356, 50984, 50446, 50730, 50347, 53528, 50730, 50349, 58145, 50730, 50351, 50835, 51899, 77210, 50870, 59041, 50891, 50730, 50352, 50835, 50704, 50356, 50912, 50452, 75883, 50863, 50730, 50354, 56782, 57171, 50870, 50730, 50356, 58677, 61855, 53553, 52164, 50898, 73151, 62205, 50863, 50704, 50356, 51022, 50458, 64094, 55397, 68477, 63414, 55094, 50461, 50730, 50344, 50908, 50799, 52091, 51009, 51320, 52144, 50837, 55091, 51551, 50730, 50346, 50863, 50704, 50356, 52794, 50416, 50730, 50347, 61252, 50730, 50349, 61543, 50798, 58100, 50730, 50351, 53405, 52553, 51877, 50837, 50730, 50352, 50870, 59041, 50928, 50704, 50356, 51832, 50422, 50730, 50354, 50908, 75883, 54604, 50730, 50356, 50837, 57171, 63026, 61855, 50891, 51694, 51044, 52240, 50837, 62205, 50870, 50704, 50356, 50984, 50428, 64094, 58832, 68477, 64161, 50730, 50344, 53962, 54164, 50837, 59041, 51258, 50730, 50346, 50870, 50704, 50356, 52794, 50434, 75883, 51004, 50730, 50347, 55813, 57171, 51129, 50730, 50349, 63122, 52531, 50969, 57320, 61855, 51129, 50730, 50351, 52904, 52016, 51870, 52553, 51872, 50825, 53254, 51196, 62205, 51004, 50730, 50352, 50891, 50704, 50356, 55084, 50440, 64094, 51129, 50730, 50354, 65649, 68477, 51258, 50730, 50356, 60795, 64697, 58829, 50730, 50344, 51306, 52129, 65204, 50837, 50730, 50346, 51004, 50704, 50356, 51832, 50446, 50730, 50347, 68466, 50730, 50349, 73259, 50730, 50351, 51004, 51899, 51044, 51872, 50837, 59041, 52611, 50730, 50352, 51129, 50704, 50356, 50984, 50452, 75883, 51306, 50730, 50354, 51306, 50453, 57171, 52445, 50730, 50356, 71880, 61855, 63820, 52164, 50898, 52144, 50825, 62205, 51693, 50704, 50356, 52794, 50458, 64094, 52445, 50459, 62613, 51264, 68477, 52611, 50460, 52587, 54739, 78360, 50730, 50344, 52611, 70963, 50882, 52233, 51870, 52883, 51872, 50837, 55613, 51356, 58252, 50828, 50704, 50356, 51297, 50415, 62953, 72083, 56882, 55138, 57441, 64173, 50798, 50961, 59041, 63094, 75883, 53576, 52713, 53690, 51135, 51989, 50837, 57171, 50828, 50704, 50356, 79755, 61855, 56493, 62205, 54579, 64094, 59095, 68477, 62239, 50730, 50344, 52905, 52713, 50975, 55901, 51872, 50863, 58252, 50829, 50730, 50346, 50884, 50704, 50356, 71874, 62953, 50839, 50730, 50347, 61146, 56882, 50837, 50730, 50349, 54660 ]

[ 0, 250, 33928, 8, 15352, 30054, 5175, 3495, 2214, 4246, 10, 2382, 3459, 8669, 6, 20535, 2810, 6, 6168, 3540, 6, 3689, 21072, 6, 8, 21072, 6, 2351, 10, 19448, 2365, 3618, 13569, 9862, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 20902, 20889, 9, 10529, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 211, 6, 272, 6, 211, 6, 8, 83, 8165, 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 ]

[ 56236, 76501, 50852, 50895, 67398, 51505, 57090, 61397, 64654, 59534, 50884, 56357, 50812, 53191, 50808, 53366, 51012, 51869, 50976, 53440, 53223, 65829, 65316, 53744, 50843, 52992, 57090, 58732, 54831, 51392, 62131, 51031, 53764, 52209, 51857, 50802, 65829, 75652, 56379, 50884, 53302, 50859, 52649, 50936, 52040, 51030, 64993, 52950, 60231, 63342, 64654, 53414, 59658, 50895, 54268, 52210, 51857, 50802, 65829, 65316, 56379, 50818, 53302, 50830, 52649, 51030, 52040, 51021, 59341, 53057, 52531, 51502, 51139, 62131, 60512, 53545, 50843, 52349, 51857, 51012, 57090, 63798, 56152, 50895, 53302, 50910, 52649, 50921, 52040, 51014, 55975, 50820, 54309, 51932, 50843, 64654, 62131, 50949, 52588, 50937, 51964, 50923, 51280, 50923, 53440, 53223, 65829, 69163, 54069, 73621, 52389, 54831, 51041, 53778, 50949, 53764, 52209, 51844, 51021, 60231, 61871, 56379, 50818, 55678, 50800, 52564, 50921, 52537, 51045, 51708, 50936, 64993, 52600, 50843, 64654, 55767, 60457, 50828, 54268, 52210, 51844, 50911, 60231, 61871, 53317, 50828, 55678, 50808, 52564, 50924, 52537, 51014, 51708, 51030, 59341, 53035, 50798, 54831, 51139, 53778, 62394, 50961, 54710, 53173, 69248, 65829, 67451, 53589, 50895, 55678, 50833, 52564, 50830, 52537, 50821, 51708, 50830, 55975, 50839, 53447, 51072, 57090, 67451, 72185, 56459, 50961, 52564, 50878, 52631, 50942, 52176, 50860, 79414, 53440, 52981, 65829, 58376, 55795, 50843, 52870, 60231, 54523, 54831, 51135, 59534, 50961, 53764, 52209, 51374, 51138, 65829, 63342, 57582, 50895, 53059, 50940, 52533, 51138, 51232, 51021, 64993, 52600, 50843, 64654, 53414, 65797, 50846, 54268, 53044, 51374, 51021, 57090, 61397, 57582, 50895, 53059, 50882, 52533, 51138, 51232, 51021, 59341, 53035, 52531, 51502, 51139, 62131, 55717, 50961, 54710, 53173, 51374, 50923, 65829, 59312, 56152, 50949, 53059, 50858, 52533, 50894, 51232, 50950, 55975, 50846, 56682, 51090, 60231, 55509, 56088, 59534, 50949, 55678, 50925, 52564, 50940, 52537, 51138, 51708, 51388, 53440, 52981, 60231, 58174, 53423, 50843, 52639, 65829, 53235, 54831, 51130, 62131, 50961, 53764, 52209, 51181, 51021, 57090, 67451, 56379, 50895, 52564, 50940, 52631, 50952, 52176, 51138, 51198, 51021, 64993, 53442, 50843, 72185, 56459, 60457, 50883, 54268, 53239, 51181, 51030, 65829, 58786, 53317, 50846, 52564, 50940, 52631, 51014, 52176, 51138, 51198, 51138, 59341, 53533, 60231, 50938, 52531, 51502, 53732, 53778, 59448, 54210, 51181, 51021, 65829, 79850, 51031, 52564, 50858, 52631, 50921, 52176, 50930, 51198, 67172, 51170, 51031, 67398, 51012, 57090, 60225, 53852, 51031, 56357, 50859, 53191, 50921, 53366, 50823, 51869, 53537, 56677, 56896, 56849, 56341, 56849, 50385, 54331, 73136, 59032, 57887, 56677, 52935, 61804, 50859, 54309, 51016, 60857, 51160, 55243, 51036, 52769, 51264, 51774, 51307, 50843, 54739, 54831, 53317, 50884, 53440, 60740, 50949, 51089, 50891, 51020, 50891, 51092, 50908, 51810, 53868, 51320, 57879, 56494, 76318, 77282, 79925, 50837, 51810, 52992, 60857, 54429, 54534, 54831, 64494, 55767, 50884, 53764, 50825, 51089, 50820, 65062, 51092, 50839, 51810, 52209, 51338, 53843, 54741, 55486, 72415, 51089, 62358, 79925, 50829, 51810, 50828, 54683, 70440, 54366, 63260, 54966, 64802, 50855, 51020, 50904, 51092, 50835, 51810, 50854, 54268, 50820, 51403, 54207, 65829, 52201, 80210, 73417, 50833, 51618, 50841, 51089, 50870, 51020, 50908, 51092, 52772, 57090, 59964, 54534, 54831, 54877, 50846, 54710, 50834, 51089, 50854, 51020, 70485, 50859, 51810, 62082, 56677, 50821, 65829, 57290, 55144, 54943, 73693, 53053, 51016, 56677, 50858, 53722, 51991, 52769, 51991, 52745, 51991, 50843, 53756, 54831, 50818, 53440, 53403, 56677, 52189, 50961, 51083, 50908, 51020, 50891, 51208, 50908, 51810, 53109, 53583, 56017, 56459, 50818, 51083, 77282, 50837, 51208, 50825, 51810, 52639, 56677, 63798, 54534, 63260, 57113, 61213, 50846, 53764, 50837, 75915, 65062, 51208, 50820, 51810, 52209, 51137, 50949, 56849, 55557, 55615, 53593, 72415, 51083, 62358, 50825, 51208, 50825, 51810, 53219, 74897, 56849, 55557, 54366, 54831, 54782, 50828, 51083, 62106, 78003, 50835, 51810, 50854, 54268, 50841, 51185, 54746, 59032, 52633, 80210, 50841, 51208, 72853, 50839, 51083, 50908, 51020, 50908, 51208, 52772, 56677, 55307, 54534, 54831, 55202, 53922, 76062, 71990, 51020, 65964, 50859, 51810, 67301, 51181, 51364, 61804, 50821, 53722, 51655, 56194, 51655, 52806, 51036, 50843, 55987, 54370, 73693, 50799, 61804, 51192, 50843, 53756, 54831, 50841, 53440, 63223, 50961, 60943, 51185, 50834, 52165, 53109, 53583, 56017, 61213, 73818, 67127, 50818, 52165, 52437, 61804, 55307, 54534, 63260, 57113, 58264, 50895, 53764, 50837, 51023, 75021, 50855, 52165, 54215, 51181, 53766, 54741, 54986, 73693, 51023, 58866, 51181, 70440, 54534, 54831, 54966, 50828, 52110, 50858, 54268, 50839, 52165, 69877, 65829, 54068, 61758, 72971, 50874, 51618, 50841, 51023, 54086, 57090, 61826, 54200, 54831, 54877, 50841, 51810, 50882, 54710, 80132, 53820, 65829, 58376, 55144, 65805, 50867, 55975, 50829, 51020, 50862, 53053, 51016, 53722, 52017, 52769, 53501, 52745, 51036, 50843, 53852, 63260, 50828, 53440, 53403, 56677, 63576, 50961, 51083, 78015, 50928, 51208, 50891, 51810, 53868, 51320, 56017, 55767, 50818, 51083, 70791, 50825, 51208, 50837, 51810, 52992, 50843, 54534, 54831, 56410, 58264, 50828, 53764, 50825, 75915, 63488, 51208, 50839, 51810, 52209, 51137, 51031, 56849, 55598, 55615, 54986, 74297, 51083, 62358, 50825, 51208, 50825, 51810, 53219, 51137, 51016, 56849, 56690, 54200, 54831, 54782, 50839, 54268, 53044, 59032, 58611, 59302, 50846, 51083, 50908, 51020, 50908, 51208, 50891, 51810, 53528, 51083, 77282, 50825, 51208, 50825, 51810, 53068, 56677, 53690, 54831, 51239, 54763, 53545, 73550, 51083, 50839, 65062, 51208, 50820, 51810, 53173, 61804, 56690, 55987, 53902, 76062, 51083, 60813, 50825, 51208, 50829, 51810, 50828, 54309, 50896, 60857, 51235, 55243, 51605, 51774, 52208, 50843, 54739, 54831, 53317, 50895, 53440, 63223, 50961, 51089, 50908, 51020, 50908, 51092, 50891, 51810, 53868, 51320, 57879, 55816, 76318, 68971, 50837, 51092, 50825, 51810, 52992, 60857, 57228, 54366, 54831, 54506, 59534, 50818, 53764, 50837, 51089, 50820, 65062, 67245, 51810, 52209, 51338, 53843, 55522, 55486, 72415, 51089, 65538, 50837, 51092, 50825, 51810, 50841, 54683, 66555, 54534, 54831, 55773, 76318, 62106, 50904, 51092, 50835, 51810, 50854, 54268, 50839, 51403, 54746, 65829, 51370, 80210, 65805, 50854, 51618, 50841, 51089, 50891, 51020, 50891, 51092, 52772, 57090, 59964, 53618, 63260, 54877, 54363, 76062, 51089, 50854, 51020, 70485, 50800, 51810, 67301, 56677, 50859, 65829, 57290, 55987, 54370, 73693, 53053, 51016, 56677, 50858, 53722, 52536, 52769, 51486, 52745, 51991, 50843, 53756, 54831, 50895, 53440, 53203, 56677, 51421, 50961, 51083, 50891, 51020, 50891, 51208, 50891, 51810, 54104, 51320, 56017, 56459, 50818, 51083, 77282, 50837, 51208, 50837, 51810, 52992, 56677, 55509, 55136, 54831, 56741, 55767, 50884, 53764, 50837, 79403, 65062, 51208, 50820, 51810, 53230, 51137, 51031, 56849, 55557, 54741, 53593, 72415, 51083, 62358, 50825, 51208, 50835, 51810, 53442, 51137, 51013, 56849, 57158, 54534, 54831, 56093, 50828, 51083, 62905, 50941, 51208, 50829, 51810, 50854, 54268, 50820, 51185, 52597, 59032 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 155, 73, 306, 86, 6543, 4, 20, 15229, 11498, 10, 1769, 20889, 9, 3982, 13410, 228, 2289, 6, 2351, 10, 20902, 5466, 4, 20, 33215, 16739, 9, 230, 10431, 119, 6, 2060, 406, 6, 274, 10431, 119, 401, 6, 230, 10431, 119, 6, 8, 2060, 17992, 7, 5, 2214, 18, 6878, 2048, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 12405, 2933, 223, 34693, 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 ]

[ 51034, 50635, 51018, 50438, 51028, 51359, 51034, 51966, 70453, 51518, 61104, 69711, 65186, 57937, 50635, 51040, 77245, 59219, 51108, 51034, 51503, 61341, 51677, 51147, 51677, 70562, 62447, 69711, 54498, 51176, 52026, 50304, 75763, 50932, 51034, 50634, 51360, 67142, 50973, 71277, 50974, 50425, 50968, 52928, 50973, 59374, 51568, 50300, 72110, 64636, 51108, 50435, 67563, 51028, 52729, 51176, 52019, 50305, 58194, 77563, 51147, 51267, 50973, 51003, 51034, 51378, 60726, 50973, 58902, 50901, 50425, 50968, 52712, 50973, 63785, 51712, 50305, 61306, 51108, 50435, 73186, 51028, 53614, 51040, 69711, 77563, 51114, 68721, 50915, 51034, 50635, 51279, 61817, 51518, 51114, 51518, 57025, 63030, 54498, 51027, 63030, 51097, 51034, 51279, 61306, 51677, 50931, 51677, 62795, 63030, 57937, 51086, 63030, 51108, 51034, 50634, 51279, 51108, 55902, 56943, 69192, 51028, 52712, 50861, 64535, 51712, 50305, 51108, 50435, 61700, 50877, 54123, 51027, 72110, 51108, 50439, 50968, 51267, 50861, 51003, 68866, 51108, 55902, 58887, 69115, 51028, 52712, 50989, 66228, 51712, 50301, 73790, 75986, 50989, 69539, 52729, 51027, 73790, 51108, 50439, 74576, 50989, 50943, 51034, 50635, 51360, 67889, 73076, 51518, 50973, 51518, 61104, 61306, 61417, 51040, 68470, 73279, 51218, 51034, 51378, 65186, 62976, 51028, 54335, 51028, 51644, 50305, 75763, 51314, 63975, 53913, 50902, 79966, 56350, 51001, 50873, 51034, 51315, 52026, 50322, 51103, 50965, 51422, 50902, 51486, 56248, 72396, 51108, 59419, 72396, 74827, 51115, 51034, 51028, 51183, 51027, 52140, 67855, 53770, 50968, 64233, 65186, 64809, 51114, 53913, 51114, 64742, 65186, 63236, 50951, 50901, 51034, 50951, 51514, 50300, 67142, 51147, 53890, 51147, 61027, 65377, 63403, 73279, 64809, 51399, 52446, 51399, 52815, 51062, 50795, 51034, 50635, 51062, 50795, 51503, 67142, 51220, 51631, 51220, 62159, 61341, 64809, 51081, 52446, 51081, 52815, 50999, 50849, 51034, 50634, 50999, 51458, 50293, 57410, 51147, 53890, 51147, 51514, 50303, 59782, 64809, 50951, 53264, 50951, 55200, 51114, 50892, 51034, 50634, 51114, 55126, 50931, 54335, 50931, 54342, 50968, 54137, 50968, 55103, 50902, 50974, 51034, 50635, 51966, 73279, 51518, 50999, 51518, 61104, 75763, 59219, 61417, 51040, 75763, 65186, 50932, 51034, 51503, 58327, 51422, 51147, 51677, 70562, 52026, 50304, 75763, 61417, 51176, 62447, 75763, 51108, 51034, 50634, 51360, 67142, 50973, 69791, 69115, 50968, 52712, 50973, 60379, 51712, 50300, 52026, 50305, 58194, 51108, 50435, 73186, 51028, 52691, 51176, 52026, 50305, 58194, 51108, 50439, 51147, 51056, 50973, 50943, 51034, 51378, 67142, 50973, 64651, 50873, 50425, 50968, 52762, 50973, 60756, 51644, 50305, 68470, 75986, 62680, 51028, 53614, 51040, 69711, 59219, 51003, 50439, 51114, 51056, 51034, 50635, 51279, 65186, 51518, 51114, 51518, 57025, 73790, 61417, 51027, 73790, 51108, 51034, 51279, 61306, 51677, 50931, 51422, 62795, 73790, 61417, 51086, 73790, 50932, 51034, 50634, 51279, 51108, 55902, 59389, 50905, 50425, 51028, 52762, 50861, 61622, 71007, 75986, 58893, 50877, 54181, 51027, 52026, 50305, 51108, 50439, 50968, 58104, 50943, 68866, 50932, 55902, 59023, 50873, 50425, 51028, 52928, 50989, 68219, 69792, 73790, 51108, 50435, 50989, 69539, 52729, 51027, 63030, 51108, 50439, 74576, 50989, 51003, 51034, 50635, 51360, 67889, 51103, 50871, 51518, 50973, 51538, 61104, 68470, 54498, 51040, 61306, 73279, 51218, 51034, 51378, 64897, 73009, 51001, 53172, 51001, 71007, 68186, 69711, 64809, 50968, 53264, 50968, 71007, 68186, 69711, 63236, 50931, 50901, 51034, 51324, 52026, 50324, 51127, 50877, 51486, 56040, 72396, 61417, 50956, 72396, 52026, 50322, 51141, 51034, 51315, 61306, 62976, 50973, 55035, 50973, 58871, 68186, 64809, 51028, 54233, 51028, 58871, 68186, 63236, 50902, 50849, 51034, 51279, 52019, 50322, 51077, 50861, 78907, 51315, 52026, 50305, 61417, 51234, 62722, 51218, 51034, 51324, 51108, 58973, 53890, 51028, 51458, 50300, 63030, 64809, 50973, 60673, 51028, 54487, 50973, 52950, 50877, 55945, 50973, 50845, 78031, 51455, 50293, 67142, 51028, 53770, 51040, 69792, 69711, 51108, 63174, 54137, 51086, 64636, 65186, 79441, 51662, 50447, 50965, 50892, 51034, 51378, 69711, 55382, 51040, 65186, 51108, 50435, 50650, 50438, 51028, 50915, 51034, 51399, 51568, 50297, 57410, 51146, 55035, 51399, 71007, 68470, 64809, 51220, 53913, 51147, 51644, 50305, 68470, 63236, 51028, 50974, 51034, 51220, 51458, 50298, 67142, 51399, 55035, 51220, 71007, 65186, 55665, 50999, 53913, 51114, 51644, 50305, 59219, 63236, 51028, 50905, 51034, 50999, 50805, 51360, 57410, 51220, 55035, 50999, 79966, 58194, 64809, 51147, 53913, 50931, 51644, 50303, 64636, 63236, 50973, 50974, 51034, 51147, 51514, 50294, 57410, 50999, 55035, 51147, 63663, 75763, 64809, 51114, 53913, 50902, 73387, 75763, 56350, 50877, 50974, 51034, 51114, 51458, 50291, 67142, 51147, 55035, 51114, 79966, 75763, 51108, 50431, 50902, 53913, 50965, 55103, 51114, 50974, 51034, 51114, 51458, 50293, 67142, 51147, 55035, 51114, 63663, 52026, 50305, 55665, 51028, 53913, 50989, 55103, 51028, 50974, 51034, 51028, 51458, 50281, 57410, 51040, 55035, 50965, 53387, 51028, 53913, 50902, 51644, 50303, 64636, 63236, 51028, 50838, 78031, 51458, 50298, 51108, 50419, 51028, 55035, 50931, 71007, 65186, 55665, 51114, 53913, 50999, 51644, 50305, 65186, 63236, 51220, 50974, 51034, 51399, 51519, 50297, 57410, 51146, 56307, 51399, 70101, 68470, 64809, 51220, 52718, 51147, 75319, 68470, 63236, 51028, 50905, 51034, 51220, 51458, 50298, 67142, 51399, 54335, 51220, 70101, 75763, 65186, 64809, 50999, 56298, 51114, 70101, 69711, 65186, 51108, 50443, 51028, 50892, 51034, 50999, 50805, 51360, 57410, 51220, 56307, 50999, 50805, 51086, 64636, 64809, 51147, 56298, 50931, 51519, 50303, 64636, 63236, 50973, 50974, 51034, 51147, 74817, 73318, 50999, 52688, 51147, 72136, 75763, 64809, 51114, 54137, 50902, 74911, 75763, 56350, 50877, 50905, 51034, 50902, 51442, 50291, 57410, 50968, 56307, 51114, 79935, 50951, 53913, 50999, 57260, 63821, 67889, 63236, 51220, 50974, 51034, 51062, 52864, 51399, 56307, 51146, 53308, 51430, 56298, 51787, 55885, 51487, 50838, 51034, 52128, 50805, 51360, 73318, 51814, 54335, 52052, 76355, 64636, 72396, 64809, 53117, 54137, 52357, 70101, 58194, 72396, 63236, 53684, 50974, 51034, 56193, 51442, 50298, 54869, 51040, 59219, 61417, 51028, 50889, 51034, 51399, 51519, 50297, 67142, 51146, 56307, 51399, 70101, 61306, 64809, 51220, 52718, 51147, 75319, 68470, 63236, 51028, 50905, 51034, 51220, 51458, 50298, 67142, 51399, 54335, 51220, 70101, 65186, 64809, 50999, 56298, 51114, 70101, 65186, 56350, 51028, 50892, 51034, 50999, 50805, 51360, 67142, 51220, 56307, 50999, 50805, 51086, 64636, 64809, 51147, 56298, 50931, 51519, 50303, 58194, 63236, 50973, 50974, 51034, 51147, 74817, 67142, 50999, 52688, 51147, 72136, 75763, 64809, 51114, 54137, 50902, 71942, 75763, 63236, 50877, 50905, 51034, 51114, 51442, 50291, 57410, 51147, 56307, 51114, 79541, 75763, 51108, 63975, 53913, 50965, 52815, 51114, 50974, 51034, 51114, 50805, 51360, 67142, 51147, 56307, 51114, 74911, 52026, 50305, 64809, 51028, 56298, 50989, 55885, 51028, 50838, 51034, 51028, 50805, 52759, 57410, 51040, 54335, 50965, 53308, 51028, 54137, 50902, 79541, 64636, 63236, 51028, 50974, 78031, 51442, 50298, 67142 ]

[ 0, 250, 20902, 5175, 3495, 2214, 11, 83, 538, 6, 4246, 21979, 8, 3459, 29589, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 19376, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 150, 67, 22690, 2365, 8, 2933, 4785, 4, 20, 33301, 16, 3185, 30, 5, 3222, 5785, 227, 5, 83, 8, 381, 40286, 6, 2351, 10, 33200, 8, 17627, 17274, 5466, 1328, 5, 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 ]

[ 58402, 55746, 51366, 60655, 51674, 52692, 51229, 52931, 51590, 53898, 53271, 50845, 51504, 50845, 51846, 50892, 63880, 50457, 51169, 50905, 51064, 50905, 53028, 65794, 51349, 50930, 53092, 50915, 52028, 50915, 73077, 51136, 50981, 50415, 50947, 50995, 51076, 50995, 50416, 51910, 51500, 65741, 51544, 65443, 51910, 50911, 53092, 51043, 52028, 51043, 51131, 51233, 51136, 51233, 50427, 50947, 51337, 51076, 51337, 74906, 51910, 50911, 51570, 65794, 51910, 50911, 51180, 53704, 50961, 51910, 50911, 53092, 50845, 52028, 50845, 78986, 51136, 67031, 77458, 51076, 50905, 52320, 65443, 51910, 56210, 70721, 51910, 50911, 53092, 50845, 52028, 50845, 78986, 51136, 68571, 77458, 51076, 50905, 53028, 65794, 51416, 50961, 62302, 51311, 50915, 69432, 51169, 50981, 50415, 52458, 50961, 51067, 50995, 51292, 50995, 50416, 51684, 50961, 52585, 59757, 52474, 51379, 65741, 51334, 51274, 51544, 65443, 80097, 51574, 51043, 51311, 51043, 50960, 51233, 51169, 51233, 50427, 51067, 51337, 51292, 51337, 74906, 52474, 74792, 50896, 51570, 65794, 80097, 51334, 51274, 51180, 53704, 50961, 61038, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 65783, 77458, 52320, 65443, 80097, 51209, 57024, 70721, 80097, 51366, 50806, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 68571, 65783, 77458, 53028, 65794, 51602, 50930, 51229, 50896, 52012, 71042, 72103, 51317, 50981, 50415, 64387, 50947, 50995, 50416, 51349, 51500, 65741, 51544, 65443, 68661, 51229, 50896, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50929, 51337, 50947, 51337, 74906, 68661, 51570, 65794, 51349, 51566, 51229, 56050, 51209, 51285, 51180, 53704, 50961, 51366, 50806, 51574, 50845, 51846, 50845, 63880, 50998, 67031, 51076, 50905, 52320, 65443, 68661, 51322, 52931, 70721, 68661, 51366, 50806, 51574, 50845, 51846, 50845, 63880, 68242, 50457, 51076, 50905, 53028, 65794, 52474, 51566, 51674, 51469, 62302, 51846, 50915, 69432, 70700, 50415, 51076, 50995, 65741, 51544, 65443, 52474, 51566, 51953, 50824, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50427, 51076, 51337, 74906, 51570, 65794, 80097, 52421, 74856, 53704, 50961, 52474, 51566, 51953, 50802, 51574, 51115, 51846, 51115, 50960, 51310, 50998, 51310, 50445, 51076, 51318, 52320, 65443, 52421, 52325, 70721, 80097, 51953, 52442, 51621, 50828, 53028, 65794, 51602, 50930, 51664, 51358, 50416, 51349, 51500, 65741, 51544, 65443, 51349, 51566, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 51337, 74906, 51366, 51091, 51570, 65794, 51349, 51566, 51209, 50967, 51180, 53704, 50961, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 67840, 70721, 51664, 50807, 52012, 51115, 51574, 51115, 51207, 51310, 51317, 51310, 50457, 50998, 51318, 50947, 51318, 53028, 65794, 51349, 51566, 65741, 51664, 51358, 51544, 65443, 51349, 51566, 52949, 50824, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 51337, 74906, 51366, 50807, 51570, 65794, 51349, 51566, 53245, 50802, 51209, 50807, 51180, 53704, 50961, 51953, 50824, 51366, 50795, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 56210, 50852, 53704, 50961, 80097, 52421, 52442, 51621, 50828, 53028, 65794, 52584, 50930, 51547, 66139, 54423, 51500, 65741, 51547, 51358, 51544, 65443, 54423, 51566, 51934, 50983, 52028, 51043, 51246, 51043, 50998, 51233, 51078, 51233, 74906, 51674, 50795, 51570, 65794, 54423, 51566, 51590, 69339, 53704, 50961, 51934, 50795, 52028, 50845, 51246, 50845, 68242, 74893, 52320, 65443, 54423, 56210, 70721, 80097, 51547, 50807, 52028, 51115, 51246, 51115, 50998, 51310, 51078, 51310, 53028, 65794, 54423, 51566, 65741, 51547, 51358, 51544, 65443, 54423, 51566, 52421, 50824, 51934, 50983, 52028, 51043, 51246, 51043, 50998, 51233, 51078, 51233, 74906, 51674, 50795, 51556, 50828, 51570, 65794, 54423, 51566, 52421, 50802, 51590, 69339, 53704, 50961, 51617, 50824, 51934, 50795, 52028, 50845, 51246, 50845, 68242, 74893, 52320, 65443, 54423, 56210, 70721, 51526, 50911, 52421, 50802, 53028, 65794, 51910, 51566, 52977, 50802, 51590, 50795, 65741, 52421, 51795, 51590, 50983, 51544, 65443, 51910, 51566, 52031, 50795, 53092, 51043, 52028, 51043, 51131, 51233, 51136, 51233, 50427, 50947, 51337, 51076, 51337, 74906, 52031, 50807, 51570, 65794, 51910, 51566, 51590, 50807, 51180, 53704, 50961, 52031, 50795, 53092, 50845, 52028, 50845, 78986, 51136, 67031, 77458, 51076, 50905, 52320, 65443, 51910, 56210, 70721, 51526, 50911, 51590, 50795, 53092, 51115, 52028, 51115, 51131, 51310, 51136, 51310, 50457, 50947, 51318, 51076, 51318, 53028, 65794, 51910, 51566, 51590, 50795, 65741, 51590, 51091, 51544, 65443, 51910, 51566, 52421, 50824, 52031, 50967, 53092, 51043, 52028, 51043, 51131, 51233, 51136, 51233, 50427, 50947, 51337, 51076, 51337, 74906, 51570, 65794, 51910, 51566, 52421, 50802, 51590, 50807, 51180, 53704, 50961, 52421, 50802, 52031, 50795, 53092, 50845, 52028, 50845, 78986, 51136, 67031, 77458, 51076, 50905, 52320, 65443, 51910, 50911, 52421, 52325, 70721, 52585, 50911, 52977, 51352, 53028, 65794, 52474, 51566, 51366, 50795, 65741, 51366, 50807, 51510, 50828, 51544, 65443, 52474, 51566, 51934, 50807, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50427, 51076, 51337, 74906, 51547, 50983, 51570, 65794, 52474, 51566, 51229, 69339, 53704, 50961, 52421, 50802, 51590, 50795, 51574, 50845, 51846, 50845, 63880, 50998, 67031, 51076, 50905, 51618, 50828, 52320, 65443, 80097, 52977, 52325, 70721, 52585, 50911, 52421, 50802, 53028, 65794, 52474, 51566, 51953, 51029, 51366, 50795, 65741, 51366, 50795, 51544, 65443, 52474, 51566, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50427, 51076, 51337, 74906, 51953, 50802, 51366, 50795, 51570, 65794, 80097, 52421, 74856, 53704, 50961, 80097, 51617, 50802, 51366, 50807, 52320, 65443, 80097, 52977, 50824, 51229, 50795, 51574, 51043, 51846, 51043, 50960, 51233, 50998, 51233, 50451, 51076, 51337, 50456, 70721, 51602, 50911, 51621, 50828, 53028, 65794, 51349, 51566, 52421, 76678, 50807, 65741, 51953, 50824, 51544, 65443, 51349, 51566, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 75359, 75194, 50818, 51953, 51407, 51366, 50807, 51570, 65794, 51349, 51566, 51209, 69339, 53704, 50961, 51229, 50795, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 56210, 70721, 80097, 51664, 50807, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 68571, 67519, 77458, 51621, 50828, 53028, 65794, 51349, 51566, 52012, 71042, 72103, 51317, 50981, 50415, 70439, 50947, 50995, 65741, 51664, 51358, 51544, 65443, 51349, 51566, 52949, 50824, 51229, 50807, 52012, 51043, 51574, 51043, 51207, 51233, 51317, 51233, 50427, 50998, 51337, 50947, 51337, 74906, 51366, 50807, 51570, 65794, 51349, 51566, 53245, 50802, 51209, 69339, 53704, 50961, 51953, 50824, 51229, 50795, 52012, 50845, 51574, 50845, 51207, 50892, 51317, 67031, 67519, 77458, 52320, 65443, 51349, 56210, 70721, 80097, 52421, 52442, 53028, 65794, 54423, 51566, 51547, 50795, 65741, 51547, 50807, 51544, 65443, 54423, 51566, 51934, 50807, 52028, 51043, 51246 ]

[ 0, 250, 13363, 28191, 5175, 25771, 2125, 14, 36193, 5, 30443, 7, 10, 30837, 18747, 6, 7630, 14805, 10, 1472, 9, 2635, 12, 20764, 6942, 11, 10, 2933, 6, 25306, 9468, 4, 20, 6755, 12547, 8, 38668, 22052, 35810, 41, 364, 38537, 5797, 990, 1506, 6, 150, 5, 21072, 694, 10, 5204, 22293, 6, 8, 5, 20535, 483, 3639, 41, 97, 39860, 2842, 4, 8504, 11, 5, 762, 9, 274, 3694, 8, 3185, 30, 10, 5705, 16331, 33215, 16739, 9, 230, 119, 8, 274, 119, 6, 42, 15229, 11498, 10, 23667, 20889, 6, 2351, 41, 24111, 8, 24486, 6548, 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 ]

[ 67004, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 66325, 50857, 51201, 50813, 51629, 54036, 60413, 51093, 50864, 72214, 51629, 53383, 51093, 50844, 51201, 50925, 51629, 50810, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 51491, 50830, 51165, 50830, 51488, 50830, 51600, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 55973, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 50807, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 57908, 55321, 50921, 55014, 50897, 51375, 50830, 51201, 50830, 50799, 54543, 51016, 53511, 50897, 59642, 50952, 71722, 51629, 55236, 50943, 50799, 59264, 50918, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 51646, 50816, 55637, 51798, 68291, 51794, 71468, 50800, 57692, 50799, 59264, 51356, 56648, 51939, 58943, 51592, 53733, 51662, 51794, 71468, 50800, 57692, 51201, 52218, 53734, 78318, 50795, 51544, 51736, 51794, 50830, 61137, 51165, 50830, 51201, 55236, 53734, 51646, 50816, 55637, 51798, 51638, 50830, 51794, 50830, 61137, 51165, 50830, 50799, 59264, 51103, 56648, 51939, 58943 ]

[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 6755, 12547, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 4401, 757, 3178, 6, 8, 32909, 6, 2351, 10, 1313, 8, 2365, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 7212, 20889, 9, 15966, 741, 1685, 6, 5, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 83, 6, 381, 6, 8, 211, 35315, 5705, 6, 1271, 7, 5, 2214, 18, 17627, 17274, 8, 15352, 30054, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 70973, 50822, 51185, 58172, 51023, 50822, 51185, 53728, 52314, 51021, 51485, 50823, 51023, 50822, 51185, 54252, 51023, 50874, 51185, 53881, 52314, 50803, 51485, 50811, 51023, 50874, 51185, 58519, 51023, 50874, 51185, 54221, 51485, 50811, 52314, 50811, 51023, 50874, 51185, 56149, 51023, 50874, 51185, 55095, 50596, 59051, 52365, 56305, 52365, 52600, 51485, 50976, 52314, 50976, 51023, 50874, 51185, 72663, 64916, 51326, 55262, 51023, 50874, 51185, 54653, 51023, 50874, 51185, 57904, 51485, 50823, 52314, 50823, 51023, 50874, 51185, 55095, 50574, 52846, 79292, 51023, 50874, 51185, 54923, 56533, 65118, 53545, 51023, 50874, 51185, 54900, 52298, 50823, 51485, 50860, 51023, 50874, 51185, 58223, 51023, 50874, 51185, 50874, 53285, 50795, 51883, 50915, 51301, 50915, 51113, 50915, 51488, 50915, 52061, 50823, 51744, 50860, 51023, 50822, 51185, 53835, 67417, 79575, 56664, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51744, 51505, 51579, 50976, 51660, 50941, 51440, 50857, 52361, 69456, 50822, 51185, 56558, 51949, 56198, 53419, 50829, 54453, 50910, 53163, 58218, 51069, 50833, 51660, 50857, 51440, 50813, 52361, 50829, 51023, 50874, 51185, 54923, 51872, 52707, 52670, 51228, 50901, 51023, 50874, 51185, 56062, 51130, 52275, 53977, 50829, 54453, 50840, 53163, 57781, 51023, 50874, 51185, 54995, 53522, 53031, 51019, 50905, 51660, 50867, 51440, 50813, 52361, 69456, 50874, 51185, 58453, 51949, 56689, 53419, 50829, 53163, 50859, 54453, 59046, 51660, 50813, 51440, 50862, 52361, 50829, 51023, 50874, 51185, 54995, 56506, 52373, 53018, 51069, 73753, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 50835, 54453, 50795, 53163, 51173, 50441, 51023, 50874, 51185, 54995, 53522, 52875, 51660, 50886, 51440, 50886, 52361, 60686, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 51069, 50812, 51660, 50862, 51440, 50862, 52361, 50864, 51023, 50874, 51185, 54923, 51872, 52707, 50825, 54453, 50808, 53163, 54721, 51228, 59870, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 50825, 54453, 50836, 53163, 51754, 51019, 50892, 51660, 50886, 51440, 50834, 52361, 69456, 50874, 51185, 58453, 51792, 56689, 53246, 50829, 52631, 50890, 54688, 71428, 51660, 50835, 51440, 50862, 52361, 50908, 51023, 50874, 51185, 54995, 56506, 52707, 50835, 53285, 50901, 51023, 50822, 51185, 53835, 67417, 61851, 54949, 50825, 53163, 56025, 54453, 58767, 51023, 50822, 51185, 53255, 53522, 62307, 53163, 54507, 51579, 50823, 51744, 50823, 51660, 50867, 51440, 50820, 52361, 50835, 51023, 50822, 51185, 56558, 51949, 56198, 53419, 50829, 54453, 59109, 53163, 54477, 51069, 50810, 51660, 50862, 51440, 50813, 52361, 50864, 51023, 50874, 51185, 54923, 51872, 52707, 50837, 54453, 50955, 50424, 53163, 52712, 51228, 50905, 71733, 76550, 51023, 50874, 51185, 56062, 51130, 52275, 53977, 50829, 53163, 66765, 54453, 54660, 51023, 50874, 51185, 54995, 53522, 50825, 53163, 50978, 50431, 54453, 52209, 51019, 50845, 76550, 71733, 51660, 50864, 51440, 50867, 52361, 50941, 51023, 50874, 51185, 58453, 51949, 56689, 53419, 56516, 54453, 55486, 51660, 50886, 51440, 50857, 52361, 60686, 50874, 51185, 54995, 56506, 52373, 59131, 53163, 59921, 54453, 52444, 51069, 50845, 51744, 50975, 51579, 50975, 51023, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 50835, 53163, 72737, 54453, 55262, 51023, 50874, 51185, 54995, 53522, 59721, 53163, 50841, 54453, 53806, 51660, 50813, 51440, 50829, 52361, 65105, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 51069, 50874, 52314, 50976, 52067, 50802, 51660, 50867, 51440, 50862, 52361, 50834, 51023, 50874, 51185, 54923, 51872, 52707, 52743, 51228, 73753, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 53217, 51019, 50845, 71733, 53147, 50811, 51660, 50867, 51440, 50862, 52361, 60686, 50874, 51185, 58453, 51792, 56689, 53246, 54794, 51660, 50813, 51440, 50855, 52361, 50864, 51023, 50874, 51185, 54995, 56506, 52707, 50835, 56142, 50849, 51699, 50915, 51251, 50915, 51088, 50915, 51357, 50915, 53147, 51009, 51579, 51300, 51023, 50822, 51185, 53835, 67417, 61851, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51614, 50857, 51434, 50857, 51808, 69345, 50822, 51185, 56558, 51949, 56198, 53419, 54104, 51443, 50854, 51614, 50813, 51434, 50857, 51808, 50874, 51023, 50874, 51185, 54923, 51872, 52707, 52670, 51205, 59870, 50874, 51185, 56062, 51130, 52275, 53977, 54956, 51023, 50874, 51185, 54995, 53522, 53031, 50927, 50974, 51614, 50855, 51434, 50839, 51808, 69345, 50874, 51185, 58453, 51949, 56689, 53419, 54288, 51614, 50857, 51434, 50854, 51808, 50874, 51023, 50874, 51185, 54995, 56506, 52373, 53018, 78982, 51883, 50915, 51301, 50915, 51113, 50915, 51488, 50915, 52314, 51066, 52067, 51072, 51023, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 54656, 51023, 50874, 51185, 54995, 53522, 52875, 51660, 50813, 51440, 50813, 52361, 50886, 51023, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 51069, 50810, 51660, 50857, 51440, 50886, 52361, 60686, 50874, 51185, 54923, 51872, 52707, 52743, 51228, 50845, 51579, 50802, 51744, 50802, 51023, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 53217, 51019, 50905, 51485, 50860, 52314, 50860, 51660, 50825, 51440, 50857, 52361, 50886, 51023, 50874, 51185, 58453, 51792, 56689, 53246, 54794, 51660, 50813, 51440, 50855, 52361, 60686, 50874, 51185, 54995, 56506, 52707, 50835, 52288, 50873, 52371, 50915, 51491, 50915, 51113, 50915, 51107, 50915, 51023, 50822, 51185, 53835, 67417, 61851, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51485, 50823, 52314, 51021, 51944, 50857, 51440, 50835, 51669, 50835, 51023, 50822, 51185, 56558, 51949, 56198, 53419, 54104, 58883, 51944, 50867, 51440, 50813, 51669, 50941, 51023, 50874, 51185, 54923, 51872, 52707, 52670, 51213, 50892, 51485, 50811, 52314, 50803, 51023, 50874, 51185, 56062, 51130, 52275, 53977, 54956, 51023, 50874, 51185, 54995, 53522, 53031, 51011, 50892, 51485, 50811, 52314, 50811, 51944, 50886, 51440, 50835, 51669, 69996, 50874, 51185, 58453, 51949, 56689, 53419, 54288, 51944, 50857, 51440, 50857, 51669, 50886, 51023, 50874, 51185, 54995, 56506, 52373, 53018, 70296, 51485, 50976, 52314, 50976, 51023, 50874, 51185, 54923, 51139, 51909, 61851, 53740, 54656, 51023, 50874, 51185, 56062, 51792, 53522, 52875, 51944, 50886, 51440, 50867, 51669, 50863, 51023, 50874, 51185, 58453, 52132, 56198, 52909, 54492, 75412, 51485, 50823, 52314, 50823, 51944, 50813, 51440, 50857, 51669, 60686, 50874, 51185, 54923, 51872, 52707, 52743, 51213, 50873, 51023, 50874, 51185, 56062, 51130, 52144, 53977, 55423, 51023, 50874, 51185, 54995, 53522, 53217, 51011, 50845, 52298, 50823, 51485, 50860, 51944, 50886, 51440, 50835, 51669, 50864, 51023, 50874, 51185, 56062, 54726, 51792, 56689, 53246, 54794, 51944, 50886, 51440, 50862, 51669, 65105, 50874, 51185, 56062, 51872, 56506, 52707, 50835, 53285, 50795, 51883, 50915, 51301, 50915, 51113, 50915, 51488, 50915, 52061, 50823, 51744, 50860, 51023, 50822, 51185, 53835, 67417, 79575, 56664, 54949, 56127, 51023, 50822, 51185, 53255, 53522, 53023, 51744, 51505, 51579, 50976, 51660, 50857, 51440, 50862, 52361, 50834, 51023, 50822, 51185, 56558, 51949, 56198, 53419, 50829, 53163 ]

[ 0, 250, 251, 6, 2933, 5175, 2125, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 13305, 7513, 30, 10, 18284, 594, 9, 31365, 6673, 6909, 111, 2003, 38704, 6, 1076, 560, 6, 579, 1517, 20426, 6, 8, 2724, 368, 4, 20, 15229, 16, 11, 5, 762, 9, 12608, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 10, 11956, 178, 5285, 20889, 9, 1812, 13410, 228, 2289, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 12608, 6, 163, 428, 406, 6, 12608, 6, 8, 163, 428, 6, 2351, 10, 15352, 30054, 8, 9066, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 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 ]

[ 57448, 50799, 56539, 50805, 51503, 65257, 72025, 75377, 51001, 63492, 51197, 51116, 51176, 51116, 50900, 51235, 50435, 51197, 50808, 51176, 67315, 54773, 51197, 51936, 50300, 62530, 60826, 60037, 56472, 52610, 51176, 51116, 50900, 51238, 50956, 51116, 50965, 51235, 50459, 51176, 67315, 69304, 63748, 50858, 54734, 69769, 57926, 72025, 75377, 50931, 51196, 60643, 51116, 51176, 51116, 50900, 51235, 50435, 51050, 50808, 51176, 67315, 54773, 51050, 50805, 51176, 62530, 57926, 60037, 56472, 52610, 51247, 51124, 51050, 51235, 51040, 51116, 50965, 51116, 51028, 51235, 50459, 51247, 50812, 51050, 50859, 51040, 63748, 50808, 80259, 61504, 67802, 52512, 50965, 52512, 51001, 51300, 50415, 51197, 55926, 52046, 60941, 51197, 63180, 52046, 59891, 51197, 58235, 52046, 54477, 51197, 60341, 52046, 52870, 51197, 56344, 52046, 55739, 51197, 58331, 52046, 59483, 51197, 56802, 52046, 58608, 51197, 54487, 52046, 50841, 50956, 63748, 78222, 59321, 51197, 53894, 52046, 67802, 67957, 70606, 52530, 50319, 51013, 50439, 51197, 55218, 52046, 60604, 51197, 60371, 52046, 60372, 51197, 57854, 52046, 54926, 51197, 58560, 52046, 53083, 51197, 65124, 51124, 50965, 51124, 51001, 51221, 50451, 52046, 55647, 51197, 59617, 52046, 60233, 51197, 58544, 52046, 58323, 51197, 54625, 52046, 50841, 56437, 60834, 65559, 50461, 51197, 50862, 50799, 56539, 50805, 51503, 60781, 58000, 73507, 54644, 50973, 53770, 50876, 54100, 51001, 53913, 51147, 64442, 60037, 56472, 52692, 50876, 51712, 50328, 55125, 51001, 51712, 50331, 55670, 50951, 51712, 50335, 50901, 54734, 51644, 50297, 51458, 50324, 51591, 52128, 51977, 53502, 59704, 71387, 50901, 53523, 59704, 71387, 53387, 50900, 59704, 71387, 53264, 50900, 60236, 65632, 53999, 50951, 51712, 50335, 55125, 51081, 51712, 50338, 55670, 51147, 51712, 50336, 50901, 53975, 63161, 51803, 51405, 51675, 58097, 71387, 50901, 53523, 55112, 50956, 57935, 63422, 50901, 55203, 53218, 50956, 71387, 60946, 51712, 50330, 55125, 50931, 51712, 50333, 51514, 50302, 55069, 50956, 57935, 73507, 51712, 50331, 50901, 55547, 51911, 50301, 71323, 51911, 50331, 50943, 58097, 79322, 55035, 51234, 52019, 50302, 75203, 51734, 50329, 64919, 51040, 59704, 50901, 55203, 51455, 50292, 59258, 77877, 62682, 50916, 71387, 55125, 51040, 51568, 50293, 62163, 51734, 50326, 63505, 51040, 59704, 50901, 54960, 50820, 51197, 73658, 77921, 51081, 51803, 58097, 71387, 58722, 55035, 50956, 71387, 58722, 53387, 50956, 71387, 58722, 53264, 50956, 65632, 58363, 53999, 50956, 71387, 58722, 79110, 54058, 50956, 71387, 58722, 63698, 54771, 50956, 71387, 58722, 75855, 50892, 55881, 65909, 51242, 58097, 57292, 68434, 50974, 56040, 67816, 68434, 64369, 51328, 64551, 67816, 71277, 52718, 50956, 64675, 71277, 58903, 51277, 61614, 64675, 71277, 55437, 50956, 72457, 58902, 66257, 77146, 50956, 72457, 75867, 50838, 55881, 71321, 72457, 51481, 51001, 51243, 51028, 51748, 50420, 51197, 71321, 58309, 51197, 71321, 71395, 51753, 50432, 51197, 71321, 67458, 52046, 52216, 50295, 52858, 50309, 51884, 50444, 52046, 52216, 50295, 63050, 53777, 51108, 51652, 50943, 51979, 50943, 56469, 52026, 50283, 52216, 50295, 76936, 59435, 52046, 52216, 50295, 51387, 50799, 53777, 51080, 52185, 51103, 52656, 51103, 56381, 51080, 50965, 75370, 51853, 50288, 53164, 50300, 51108, 58097, 51884, 56546, 78502, 52518, 64551, 51824, 50438, 53250, 51108, 52185, 50943, 52380, 50943, 56381, 51517, 50288, 53126, 50300, 51108, 61614, 51884, 50450, 57147, 51108, 52185, 50943, 52656, 50943, 56381, 61341, 78502, 52518, 72407, 51824, 78857, 51080, 52185, 51103, 52656, 51103, 54833, 51080, 51247, 53126, 50297, 51108, 53502, 51884, 56546, 78502, 52518, 56014, 51824, 50438, 53250, 51108, 52185, 50943, 51978, 50943, 54833, 51517, 50285, 53126, 50297, 51108, 55513, 51884, 50450, 55343, 51108, 52185, 50943, 51978, 50943, 54833, 73279, 78502, 52518, 50456, 51040, 51824, 50799, 53777, 52431, 52185, 51127, 51979, 51518, 56469, 51449, 52046, 53126, 50295, 51108, 58097, 51884, 60564, 78502, 52518, 64551, 51824, 50438, 51652, 51047, 52046, 53126, 50295, 51108, 61614, 51884, 50450, 55343, 52056, 52380, 74685, 64675, 52518, 50456, 50956, 51824, 79705, 51080, 52185, 51103, 52380, 51103, 56381, 51080, 51503, 53164, 50300, 51108, 58097, 51884, 56546, 78502, 52518, 64551, 51824, 50438, 53777, 51108, 52185, 50943, 52380, 50943, 55297, 62447, 52454, 50292, 52011, 61614, 51884, 50450, 56853, 51108, 51643, 50943, 52380, 50943, 56381, 61341, 78502, 52518, 51176, 52454, 50288, 52025, 50456, 50956, 51824, 50799, 56853, 51330, 52226, 51518, 52608, 50943, 56469, 52140, 52046, 55036, 50295, 51333, 58097, 51884, 50426, 53863, 51330, 52436, 75127, 72397, 52518, 64551, 51824, 50438, 53407, 52056, 52656, 51109, 52046, 53126, 50295, 63236, 50965, 51884, 50450, 53777, 51108, 52226, 50943, 51979, 50943, 55329, 73279, 64675, 52518, 50456, 50956, 51824, 50799, 53777, 51080, 51643, 50943, 52656, 50943, 56381, 51080, 51503, 51703, 51176, 51314, 58097, 51884, 50426, 51721, 51109, 52608, 51109, 51001, 72397, 52518, 64551, 51884, 50438, 53777, 51108, 52185, 50943, 52394, 50943, 56381, 58327, 78502, 52518, 51176, 52454, 50288, 52025, 61614, 51884, 50450, 53407, 51108, 51667, 50943, 52394, 50943, 54833, 75939, 67252, 52518, 51050, 52454, 50285, 52025, 50456, 50871, 51824, 77632, 52431, 51721, 50943, 52228, 50943, 55329, 51449, 51234, 55036, 50302, 51333, 55961, 51884, 50426, 51831, 51121, 53628, 63402, 78502, 52518, 50432, 51652, 59198, 51824, 50438, 52185, 51047, 51978, 51734, 50278, 54590, 50290, 51108, 55989, 51884, 50450, 53407, 52056, 52608, 51121, 50906, 78502, 52518, 50456, 52228, 66867, 51824, 50799, 53777, 51080, 51652, 50914, 52608, 51103, 56469, 59478, 64675, 52518, 51197, 52454, 50283, 52025, 58097, 51884, 50426, 52185, 50943, 54833, 68470, 51884, 51050, 52454, 50285, 52025, 64551, 51884, 50438, 53777, 51108, 51721, 50943, 52608, 50943, 55291, 59478, 51884, 51026, 52454, 50287, 52025, 61614, 51884, 50450, 53777, 51108, 51652, 50943, 53580, 50943, 56469, 73279, 64675, 52518, 52046, 55036, 50295, 69173, 50956, 51824, 50799, 56853, 51080, 52185, 51103, 52394, 50943, 54833, 51080, 51247, 52212, 51050, 51314, 69980, 52858, 50316, 58069, 51978, 51109, 50965, 52858, 50316, 52858, 50324, 56427, 50965, 52858, 50316, 52858, 50321, 58151, 53863, 51108, 51643, 50943, 52491, 50943, 55297, 51517, 50280, 52212, 51085, 79882, 50906, 52858, 50316, 52858, 50323, 58369, 53863, 51108, 51721, 50943, 52491, 50943, 55297, 64897, 52858, 50316, 52858, 50320, 59111, 50906, 52858, 50316, 51079, 78857, 51080, 52185, 50943, 51978, 51103, 59441, 51080, 52759, 52212, 51360, 51314, 55961, 52858, 50312, 52858, 50321, 58069, 51721, 62646, 76382, 75598, 57123, 50871, 76382, 52858, 50321, 58151, 53250, 51108, 52185, 50943, 51978, 50943, 57721, 51517, 50285, 53126, 50297, 63236, 50965, 52858, 50316, 58369, 55343, 51108, 52185, 50943, 53580, 50943, 54833, 68470, 52858, 50317, 52104, 50297, 52454, 50285, 52025, 50456, 50965, 51824, 50799, 53777, 51447, 51652, 51518, 53580, 50943, 56469, 52140, 52046, 55036, 50295, 51333, 55902, 51884, 50426, 53628, 71323, 52104, 50317, 52518, 58319, 51824, 50438, 53863, 51330, 52608, 51734, 50295, 52454, 50283, 52025, 58365, 51884, 50450, 53407, 52056, 52185, 50845, 53580 ]

[ 0, 250, 1769, 12, 20764, 8, 15352, 30054, 15229, 14, 28337, 4785, 9, 15855, 8, 5175, 930, 6, 42, 765, 2214, 11, 2060, 538, 1575, 10, 13305, 25, 5, 6922, 10320, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 9680, 13410, 228, 2289, 6, 24, 7630, 6568, 41, 20425, 8, 25306, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 814, 5422, 50, 9066, 3423, 15, 2441, 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 ]

[ 58375, 51360, 58172, 51360, 53004, 51176, 53591, 51027, 52580, 51360, 58519, 51360, 52739, 51176, 53720, 51027, 52788, 50634, 51360, 58666, 50634, 51360, 53086, 50634, 51176, 54043, 50634, 51027, 52989, 50634, 51360, 59835, 50633, 51360, 53176, 50633, 51378, 54529, 50633, 51176, 50827, 58375, 51360, 58172, 51360, 53004, 51176, 53591, 51027, 52580, 51360, 58519, 51360, 52739, 51176, 53720, 51027, 52788, 50634, 51360, 58666, 50634, 51360, 53086, 50634, 51176, 54043, 50634, 51027, 52989, 50634, 51360, 59835, 50633, 51360, 53176, 50633, 51378, 54529, 50633, 51176, 50827, 58375, 51360, 50822, 51405, 63118, 51360, 53004, 51176, 53591, 68719, 51405, 54335, 51360, 56552, 51360, 54150, 51176, 50851, 51405, 65867, 51027, 54793, 50634, 51360, 60887, 50634, 51360, 50907, 51405, 69655, 50634, 51176, 57764, 50634, 51027, 54626, 50634, 51360, 50984, 51405, 78983, 50633, 51360, 56838, 50633, 51378, 62065, 50633, 51176, 51123, 51405, 54298, 58375, 51360, 51123, 50417, 51360, 59895, 51176, 51022, 51405, 51432, 50423, 51027, 55124, 51360, 70545, 51360, 51269, 51405, 52731, 50432, 51176, 70855, 51027, 61929, 50634, 51360, 70546, 50634, 51360, 62622, 50634, 51176, 51269, 50447, 50634, 51027, 60205, 50634, 51360, 51022, 50453, 50633, 51360, 56773, 50633, 51378, 57467, 50633, 51176, 50827, 58375, 51360, 80021, 63118, 51360, 54351, 51176, 50844, 50989, 62149, 51027, 53450, 51360, 50844, 50965, 64318, 51360, 53513, 51176, 50844, 51040, 60234, 51027, 53614, 50634, 51360, 50810, 50973, 62532, 50634, 51360, 53783, 50634, 51176, 50844, 50906, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 50965, 65371, 50633, 51360, 54194, 50633, 51378, 50844, 50989, 60977, 50633, 51176, 50844, 58375, 51360, 80021, 63118, 51360, 54351, 51176, 50844, 50900, 79322, 63867, 51027, 53450, 51360, 50844, 51086, 71387, 64627, 51360, 53513, 51176, 50844, 50997, 51712, 50305, 61647, 51027, 53614, 50634, 51360, 50810, 50973, 62532, 50634, 51360, 53783, 50634, 51176, 50844, 50906, 60785, 50633, 51027, 54004, 50633, 51360, 50844, 50965, 65371, 50633, 51360, 54194, 50633, 51378, 50844, 50989, 60977, 50633, 51176, 50844, 57497, 80021, 63118, 50634, 51360, 54351, 51176, 50844, 50989, 62149, 51027, 53450, 51360, 50844, 50965, 64318, 51360, 53513, 51176, 50844, 51040, 60234, 51027, 53614, 51360, 50810, 50973, 62532, 51360, 53783, 51176, 50844, 50906, 60785, 51027, 54004, 51360, 50844, 50965, 65371, 51360, 54194, 51378, 50844, 50989, 60977, 51176, 50844, 57497, 80021, 73787, 51911, 50300, 75860, 51293, 50417, 51360, 54351, 51176, 50844, 50989, 62149, 51027, 53450, 51360, 50844, 50965, 64318, 51360, 53513, 51176, 50844, 51040, 60234, 51027, 53614, 50634, 51360, 50810, 50906, 62532, 50634, 51360, 53783, 50634, 51176, 50844, 50965, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 50973, 65371, 50633, 51360, 54194, 50633, 51378, 50844, 51028, 60977, 50633, 51176, 50844, 58375, 51360, 57035, 51445, 50965, 51353, 51040, 52121, 50417, 51360, 54351, 51176, 55266, 51027, 53450, 51360, 57250, 51360, 53513, 51176, 55167, 51027, 53614, 50634, 51360, 56532, 50634, 51360, 53783, 50634, 51176, 55876, 50634, 51027, 54004, 50634, 51360, 58305, 50633, 51360, 54194, 50633, 51378, 56569, 50633, 51176, 50844, 58375, 51360, 50810, 51001, 51008, 50417, 51360, 50844, 50906, 53004, 51176, 50844, 50956, 56174, 51027, 50810, 51001, 53881, 51360, 50810, 50906, 58519, 51360, 70833, 53193, 51176, 50854, 51001, 54378, 51027, 69862, 53614, 50634, 51360, 50833, 50956, 58709, 50634, 51360, 50833, 51001, 53783, 50634, 51176, 50812, 50906, 54803, 50633, 51027, 66966, 52843, 50633, 51360, 50812, 51001, 57622, 50633, 51360, 59473, 54424, 50633, 51378, 68519, 57651, 50633, 51176, 59473, 50833, 51034, 51360, 50810, 50931, 51328, 51040, 51293, 50871, 51445, 50965, 79634, 50634, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50931, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50931, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50968, 51328, 50417, 51360, 54351, 51378, 50844, 51028, 56909, 51176, 53450, 51360, 50844, 50968, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50968, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50931, 51328, 50417, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50931, 58125, 51360, 53513, 51378, 50844, 51028, 56784, 51176, 53614, 51360, 50810, 50931, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50968, 51328, 50417, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50968, 58125, 51360, 53513, 50634, 51176, 50844, 51028, 68232, 50634, 50435, 51027, 68522, 50634, 50438, 50633, 51360, 50810, 50968, 68861, 50633, 51360, 76772, 50633, 50444, 51378, 50844, 51028, 67446, 50633, 50447, 50633, 51176, 50844, 51034, 51360, 50810, 50931, 51328, 50417, 50634, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 51360, 50844, 50931, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50931, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51034, 51360, 50810, 50968, 51328, 50417, 51360, 54351, 51378, 50844, 51028, 56909, 51176, 53450, 51360, 50844, 50968, 58125, 51360, 53513, 51176, 50844, 51028, 56784, 51027, 53614, 51360, 50810, 50968, 68861, 51360, 53783, 51176, 50844, 51028, 57060, 51027, 50844, 51057, 51360, 50810, 50931, 51328, 50417, 51360, 54351, 51176, 50844, 51028, 56909, 51027, 53450, 50634, 51360, 50810, 50931, 77847, 50634, 50429, 50634, 51360, 73418, 50634, 50431, 50634, 50432, 50633, 51378, 50844, 51028, 68232, 50633, 50435, 50633, 51176, 50844, 58375, 51360, 50810, 51028, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50876, 62149, 51027, 53450, 51360, 50844, 50973, 51568, 50329, 50981, 50429, 51360, 53513, 51176, 50844, 50876, 60234, 51027, 53614, 50634, 51360, 50810, 51028, 51455, 50329, 63939, 50634, 51360, 53783, 50634, 51176, 50844, 50876, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 50973, 51568, 50329, 77204, 50633, 51360, 54194, 50633, 51378, 50844, 50876, 60977, 50633, 51176, 50844, 58375, 51360, 50810, 51028, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50902, 62149, 51027, 53450, 51360, 50844, 51028, 51568, 50329, 50981, 50429, 51360, 53513, 51176, 50844, 50876, 60234, 51027, 53614, 50634, 51360, 50810, 51028, 51455, 50329, 63939, 50634, 51360, 53783, 50634, 51176, 50844, 50902, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 51028, 51568, 50329, 77204, 50633, 51360, 54194, 50633, 51378, 50844, 50876, 60977, 50633, 51176, 50844, 58375, 51360, 50810, 51028, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50902, 62149, 51027, 53450, 51360, 50844, 51001, 51568, 50329, 50981, 50429, 51360, 53513, 51176, 50844, 50902, 60234, 51027, 53614, 50634, 51360, 50810, 51028, 51455, 50329, 63939, 50634, 51360, 53783, 50634, 51176, 50844, 50902, 60785, 50634, 51027, 54004, 50634, 51360, 50844, 51001, 51568, 50329, 77204, 50633, 51360, 54194, 50633, 51378, 50844, 50902, 60977, 50633, 51176, 50844, 58375, 51360, 50810, 51001, 51455, 50329, 65177, 51360, 54351, 51176, 50844, 50968, 62149, 51027, 53450, 51360, 50844, 51001 ]

[ 0, 250, 2933, 8, 9066, 3152, 2214, 19, 5175, 4785, 6, 4246, 30587, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 8, 38668, 18569, 6, 2351, 41, 20425, 8, 814, 12, 21330, 5466, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 41, 12447, 1001, 20889, 6, 5830, 13363, 28191, 34879, 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 ]

[ 58375, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 73271, 59054, 59054, 59054, 59054, 59054, 61916, 51085, 52175, 51279, 54098, 63529, 63529, 63529, 63529, 63529, 76940, 59134, 59134, 59134, 59134, 59134, 61916, 50799, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 51473, 51732, 51473, 51732, 51473, 51732, 51473, 51732, 51473, 51732, 51473, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51063, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 51143, 51732, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 67285, 67285, 67285, 67285, 67285, 67285, 50803, 53723, 54093, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 50803, 51942, 67285, 67285, 67285, 67285, 67285, 67285, 50803, 50799, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51942, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 51155, 51732, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 51473, 54217, 51473, 54217, 51473, 54217, 51473, 54217, 51473, 54217, 51473, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51063, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 51143, 54217, 61916, 51085, 52410, 51785, 69259, 54433, 52237, 51620, 61916, 51279, 53681, 61916, 51085, 52175, 51279, 54098, 61916, 50799, 61916, 51085, 52410, 53723, 69259, 54433, 52237, 51620, 52669, 67858, 53681, 63619, 63619, 63619, 63619, 63619, 63619, 61916, 51085, 52175, 77312, 77312, 77312, 77312, 77312, 77312, 51279, 54098, 61916, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 57325, 52305, 50803, 52305, 50803, 52305, 50803, 52305, 50803, 52305, 50803, 52305, 50803, 51521, 50803, 51521, 50803, 51521, 50803, 51521, 50803, 51521, 50803, 51521, 52163, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 51785, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 61916, 51279, 53681, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 67795, 52175, 51279, 54098, 66721, 66721, 66721, 66259, 66259, 66259, 53724, 50795, 50799, 66721, 66721, 66721, 66259, 66259, 66259, 61916, 51085, 52410, 51155, 67285, 67285, 67285, 67285, 67285, 50803, 76483, 76483, 76483, 72402, 72402, 72402, 53723, 69259, 54433, 59188, 59188, 59188, 59188, 59188, 59188, 52237, 51620, 72402, 72402, 72402, 61469, 61469, 61469, 61469, 61469, 61469, 69624, 69624, 69624, 52669, 78418, 53681, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 51778, 50802, 73271, 59054, 59054, 59054, 59054, 59054, 52413, 67795, 52175, 51279, 54098, 63529, 63529, 63529, 63529, 63529, 76940, 59134, 59134, 59134, 59134, 59134, 62347, 50799, 51942, 54217, 51942, 54217, 51942, 54217, 51942, 54217, 51942, 54217, 51942, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 51155, 54217, 61916, 51085, 52410, 51785, 69259 ]

[ 0, 250, 20902, 5175, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 5544, 12547, 9, 1893, 43639, 6, 326, 5638, 18026, 6, 21979, 8669, 6, 2003, 38704, 31365, 25999, 6, 8, 20535, 2810, 4, 8504, 11, 5, 762, 9, 12608, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 32076, 8, 20425, 2365, 16464, 149, 63, 15352, 30054, 15229, 4, 20, 33215, 16739, 9, 2060, 406, 6, 163, 43531, 6, 2060, 406, 6, 8, 163, 428, 406, 3639, 7, 63, 14899, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 52211, 50981, 53542, 51145, 56636, 53082, 52489, 53082, 62828, 50981, 56404, 58326, 52298, 51003, 53175, 50981, 64795, 50981, 54727, 56692, 52061, 50914, 52701, 51145, 54961, 53082, 58881, 50981, 53580, 57105, 51744, 50889, 52384, 50981, 58166, 50981, 52491, 50981, 50799, 52264, 50824, 53542, 51145, 52377, 51145, 56381, 50981, 52656, 58326, 53147, 50824, 53175, 50981, 53084, 50981, 60985, 50981, 53319, 56692, 55078, 50824, 52701, 51145, 54006, 51145, 52489, 51145, 52425, 51742, 59441, 50981, 53979, 50981, 52365, 57512, 52365, 62968, 52365, 54129, 52365, 60869, 52365, 59135, 52365, 55059, 52365, 57795, 52365, 52768, 57317, 50824, 52384, 50824, 53572, 50824, 57065, 50824, 53625, 67067, 52365, 55552, 52365, 59730, 52365, 60370, 52365, 54871, 52365, 50803, 50799, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 52489, 50803, 57065, 50803, 53319, 52001, 76957, 78706, 51066, 52399, 54433, 51240, 53450, 57317, 51066, 53175, 51066, 52384, 51066, 53084, 51066, 53572, 51066, 54961, 51066, 52489, 51066, 52425, 51066, 57065, 51066, 53319, 51066, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 50843, 68675, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 52001, 76957, 78706, 51066, 54032, 55373, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 57052, 54004, 51170, 53948, 53025, 55680, 51240, 54194, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 51670, 61261, 51240, 50892, 55986, 76957, 78706, 68107, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 53319, 52001, 54433, 51240, 53450, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 57317, 50802, 53175, 50802, 52384, 50802, 53084, 50802, 53572, 50802, 54961, 50802, 52489, 50802, 52425, 50802, 57065, 50802, 53319, 61261, 51240, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 52001, 76957, 78706, 51066, 54032, 55373, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 57052, 54004, 51170, 56944, 51599, 51066, 50453, 51240, 54194, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 52702, 68675, 50892, 50799, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 53319, 52001, 76957, 78706, 51066, 52399, 54433, 51240, 53450, 57317, 51066, 53175, 51066, 52384, 51066, 53084, 51066, 53572, 51066, 54961, 51066, 52489, 51066, 52425, 51066, 57065, 51066, 53319, 51066, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 50843, 68675, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 52001, 76957, 78706, 51066, 54032, 55373, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 57052, 54004, 51170, 53948, 53025, 55680, 51240, 54194, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 51670, 61261, 51240, 50892, 55986, 76957, 78706, 68107, 57317, 50803, 53175, 50803, 52384, 50803, 53084, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 53319, 52001, 54433, 51240, 53450, 51170, 56944, 51599, 51066, 50429, 51240, 53513, 57317, 50802, 53175, 50802, 52384, 50802, 53084, 50802, 53572, 50802, 54961, 50802, 52489, 50802, 52425, 50802, 57065, 50802, 53319, 61261, 51240, 53913, 57317, 50803, 53175, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 59603, 53816, 76957, 78706, 51066, 50440, 52365, 55604, 52365, 59808, 52365, 52986, 52365, 53816, 61409, 52365, 54847, 57317, 50803, 52339, 50803, 52384, 50803, 52178, 50803, 53572, 50803, 54961, 50803, 52489, 50803, 52425, 50803, 57065, 50803, 52436, 59603, 55215, 64913, 52365, 53057, 52365, 56128, 56944, 51599, 51066, 50452, 52365, 55007, 52365, 55215, 74022, 52365, 52920, 57317, 50811, 52339, 50811, 52384, 50811, 52178, 50811, 53572, 50811, 54961, 50811, 52489, 50811, 52425, 50811, 57065, 50811, 52436, 77293, 53816, 68675, 73752, 52365, 54991, 52365, 56842, 52365, 50834, 79821, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 52906, 54433, 51240, 53450, 55078, 51059, 57317, 51059, 52701, 51059, 54006, 51059, 54961, 51029, 52310, 50993, 51888, 51029, 59441, 51059, 53580, 51059, 51170, 53948, 50824, 52669, 51160, 50766, 50281, 67270, 51240, 53513, 50852, 68675, 60234, 51906, 50993, 52343, 51160, 50766, 50283, 61445, 51170, 78706, 53681, 50852, 50802, 52343, 50806, 50766, 50283, 55373, 51240, 54004, 51170, 53948, 50824, 53724, 50806, 77721, 55680, 51240, 54194, 50852, 68675, 50892, 52413, 50806, 50766, 50279, 50802, 79821, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 52906, 54433, 51240, 53450, 51170, 53948, 50824, 52669, 51160, 50766, 50281, 67270, 51240, 53513, 50852, 68675, 60234, 52413, 51160, 50766, 50279, 61445, 51170, 78706, 53681, 50852, 50802, 52413, 50806, 50766, 50279, 55373, 51240, 54004, 51170, 53948, 50824, 53724, 50806, 77721, 55680, 51240, 54194, 50852, 68675, 50892, 52413, 50806, 50766, 50279, 50802, 79821, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 52906, 54433, 51240, 53450, 51170, 53948, 50824, 52669, 51160, 50766, 50281, 67270, 51240, 53513, 50852, 68675, 60234, 52343, 51160, 50766, 50283, 61445, 51170, 78706, 53681, 50852, 50802, 52343, 50806, 50766, 50283, 55373, 51240, 54004, 51170, 53948, 50824, 53724, 50806, 77721, 55680, 51240, 54194, 50852, 68675, 50892, 52413, 50806, 50766, 50279, 50802, 73545, 61960, 78706, 50824, 52669, 50980, 50766, 50281, 51066, 50416, 51289, 61158, 51289, 53299, 51289, 56192, 60449, 51289, 55946, 51240, 74298, 51289, 54156, 51289, 67153, 53948, 50824, 52669, 51160, 50766, 50281, 50993, 50428, 51289, 56865, 51240, 73418, 51289, 53695, 51289, 55064, 68675, 71648, 51289, 55782, 52413, 51160, 50766, 50279, 50993, 50436, 51289, 52444, 51289, 55507, 78706, 50824, 50440, 51289, 66607, 51289, 55489, 51289, 56034, 50802, 52413, 50806, 50766, 50279, 61409, 51289, 57782, 51240, 71765, 51289, 54411, 51289, 57549, 53948, 50824, 53724, 50806, 77721, 69986, 51289, 61702, 51240, 69500, 51289, 55577, 51289, 58558, 68675, 50892, 52413, 50806, 50766, 50279, 59868, 51289, 51010, 50460, 51289, 51010, 79821, 51363, 51289, 51066, 50417, 56841, 54901, 51240, 50844, 56841, 52422, 51170, 50844, 56841, 57200, 51240, 53513, 51240, 50892, 56841, 53660, 54542, 52322, 51170, 51363, 50441, 54542, 55967, 51240, 50844, 57454, 52610, 51170, 58305, 51240, 50844, 57454, 52935, 51240, 50892, 57454, 50806, 79821, 51363, 50417, 58003, 50806, 57355, 54901, 51240, 50844, 58003, 50821, 57355, 52422, 51170, 50844, 58003, 50806, 57355, 57200, 51240 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 3459, 13305, 6, 13305, 6, 6755, 12547, 6, 8, 21072, 6, 278, 11, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 272, 538, 6, 19, 5, 40286, 272, 8, 211, 16331, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 53997, 51227, 51085, 51500, 51182, 66741, 51505, 79334, 51483, 50415, 51182, 51337, 50422, 50916, 69245, 62053, 62053, 63835, 63835, 50809, 51600, 51233, 51600, 66741, 56731, 50816, 57469, 50861, 61130, 62282, 50890, 51182, 51233, 50430, 50916, 50846, 50916, 67974, 50809, 51182, 51423, 50791, 54192, 75483, 51214, 65086, 51505, 50852, 66810, 55734, 51214, 51294, 51266, 51233, 51266, 51043, 50445, 50916, 68877, 59244, 59244, 63835, 60407, 50809, 51107, 51337, 51107, 51233, 55605, 50887, 50452, 51093, 51363, 50453, 50916, 69245, 62053, 62053, 62282, 63835, 50809, 51093, 51412, 50791, 54192, 51010, 50460, 51107, 67248, 51505, 50852, 51653, 50461, 51120, 51189, 51120, 50983, 51107, 71732, 50894, 52591, 50871, 63307, 59244, 59244, 66868, 62448, 58089, 65039, 54690, 52374, 75980, 50902, 70248, 69348, 63307, 59244, 62053, 66868, 62448, 51559, 53989, 63043, 51357, 51797, 51357, 51642, 50436, 51214, 50983, 50852, 71944, 72581, 51214, 51189, 51088, 52256, 51088, 51961, 57428, 62465, 61368, 61368, 66365, 73849, 61666, 59086, 51559, 54898, 50962, 61695, 79857, 50902, 69687, 69348, 63307, 59244, 62053, 64727, 64005, 54546, 51010, 50460, 51085, 51189, 51085, 50983, 51093, 63238, 51505, 50852, 71944, 72023, 51093, 51363, 53069, 50861, 59244, 60407, 54507, 50916, 67885, 63287, 50855, 51182, 51242, 51182, 51101, 50816, 52374, 61749, 51093, 51328, 50428, 50916, 68877, 59244, 59244, 63835, 60407, 50809, 51093, 51481, 50791, 53412, 61968, 51357, 51797, 50436, 51214, 51310, 51214, 51295, 51357, 52059, 50791, 51505, 50852, 51460, 62471, 50443, 50902, 67904, 62847, 62379, 60924, 61368, 67046, 64005, 50857, 51088, 52482, 51088, 52059, 70683, 51180, 72860, 50902, 67904, 62847, 62379, 60924, 61368, 67046, 64005, 50857, 51107, 51172, 51107, 51412, 50791, 53989, 67172, 51085, 51241, 51085, 51204, 51093, 52528, 51093, 52140, 50791, 51388, 52723, 51104, 51354, 52478, 50861, 61368, 60407, 54690, 72808, 50916, 66446, 61547, 52873, 68133, 61749, 50916, 74296, 61508, 61508, 67661, 70934, 53500, 52374, 69873, 51214, 51391, 51214, 51241, 51556, 51505, 50852, 71944, 62505, 50916, 65802, 67128, 68128, 61686, 60924, 55459, 50962, 50443, 50791, 50887, 56594, 55254, 50916, 50846, 50916, 69688, 69688, 72854, 67974, 52538, 51392, 65083, 51981, 51653, 51981, 50993, 51085, 51226, 51085, 51573, 51335, 53174, 50791, 51505, 52055, 51225, 51653, 52177, 50876, 63835, 59748, 52948, 51483, 52948, 50975, 50916, 69245, 62053, 62053, 53228, 72808, 50791, 50887, 55429, 61953, 51981, 51653, 51981, 50993, 56248, 50846, 50916, 69688, 70215, 72854, 67974, 53683, 52374, 72090, 51818, 51483, 51818, 73637, 51214, 51204, 51214, 51294, 50852, 71944, 58040, 51457, 51483, 51457, 50975, 50861, 59244, 60407, 53228, 50962, 50442, 50916, 68877, 60407, 52873, 59248, 51327, 51653, 51327, 50993, 50916, 67801, 61686, 61686, 67974, 60407, 53228, 50962, 52320, 70000, 51457, 51745, 51457, 51059, 51214, 51295, 51214, 62343, 52633, 56425, 51653, 52177, 50902, 68854, 63336, 60365, 61381, 61381, 66272, 65523, 56394, 52374, 50840, 61797, 68712, 51672, 51427, 51672, 51460, 50973, 73849, 62475, 50902, 64204, 62847, 62221, 62614, 60924, 53340, 53989, 55736, 51231, 51343, 51231, 51274, 51120, 51218, 51120, 67425, 51483, 50852, 51603, 50433, 50798, 50930, 50440, 50871, 60365, 61381, 62614, 66499, 65523, 63665, 61666, 54494, 50930, 51572, 59787, 50902, 69687, 69348, 62465, 61368, 62053, 66868, 62448, 51559, 53989, 72091, 51457, 65202, 51457, 51870, 51324, 51189, 51324, 55157, 51739, 51505, 50852, 51483, 51601, 50816, 50962, 50416, 50902, 67904, 60500, 67504, 62614, 62614, 66499, 73849, 50867, 51402, 77740, 56731, 50973, 61880, 50899, 66675, 59244, 61368, 67046, 61666, 61420, 54690, 52374, 71586, 51231, 51472, 51231, 51661, 50432, 51214, 51141, 51214, 51364, 52723, 51104, 51483, 79807, 61508, 66824, 62379, 66499, 73849, 55296, 52633, 77118, 50902, 64204, 73816, 57782, 50871, 62465, 61368, 59244, 66365, 64005, 59086, 65039, 54690, 52374, 70896, 51981, 51472, 51981, 52195, 51085, 51204, 51085, 74120, 51505, 50852, 71944, 50882, 54594, 61368, 63287, 61547, 65600, 50916, 64607, 54546, 50930, 50416, 50791, 67237, 50791, 61135, 50876, 55155, 50916, 66446, 60924, 61368, 63287, 55459, 52374, 58288, 51818, 51761, 51818, 51029, 55994, 51388, 50852, 51354, 50431, 51214, 51619, 50287, 56001, 56341, 50916, 61687, 59602, 60924, 61547, 61547, 54690, 50962, 60644, 65781, 50791, 61998, 50916, 66446, 60924, 61368, 63287, 61547, 51581, 50287, 50854, 51214, 53825, 52374, 61807, 51981, 51483, 51981, 50975, 51085, 51362, 51085, 72167, 52374, 51388, 50852, 51354, 50461, 52948, 50975, 50876, 60407, 50809, 50799, 52948, 51483, 50861, 61686, 50846, 50916, 67885, 55459, 51130, 69388, 51981, 50991, 51981, 51160, 50876, 60407, 51421, 69079, 50916, 67885, 61368, 59244, 53228, 62753, 51818, 51653, 51818, 55886, 51505, 52055, 51225, 51460, 50430, 51214, 51141, 51214, 51364, 50437, 51457, 51354, 51457, 51483, 50916, 67885, 61368, 59244, 60407, 60407, 53228, 50949, 51570, 50890, 55820, 65266, 51327, 51160, 51327, 51427, 50916, 68877, 59244, 59244, 63835, 60407, 52634, 51130, 50930, 50452, 51457, 51745, 51457, 51059, 50453, 51120, 51191, 51120, 51204, 50791, 51388, 50852, 66810, 50962, 56875, 68789, 50871, 62221, 62614, 60924, 66499, 65523, 63665, 61420, 52217, 50887, 52591, 51672, 50975, 51672, 50975, 50973, 64005, 53111, 53989, 51010, 50421, 50871, 62465, 61368, 59244, 62176, 65039, 67161, 51231, 51343, 51231, 51274, 51214, 51218, 51214, 57068, 51388, 50852, 66810, 50962, 50436, 50973, 64005, 54546, 51041, 58566, 50871, 62465, 61368, 59244, 62176, 65039, 50836, 66651, 53806, 50861, 61686, 77360, 69348, 63307, 66365, 64005, 53111, 64733, 50902, 53754, 51031, 50452, 51327, 51653, 51327, 50993, 51085, 74120, 51388, 50852, 66810, 56328, 51085, 51204, 50460, 51981, 51095, 51981, 51175, 50916, 69245, 62053, 62053, 63835, 60407, 52634, 52633, 50890, 52591, 51327, 51175, 51327, 51379, 50916, 69245, 62053, 59244, 63835, 63835, 52634, 67339, 50428, 51672, 50967, 51672, 51215, 51214, 51274, 51214, 65522, 51388, 50852, 79890, 61968, 51231, 51175, 51231, 51175, 50973, 54494, 50962, 50436, 50871, 71142, 69688, 69688, 70882, 60810, 50846, 50973, 53111, 71647, 70683, 66651, 67106, 51457, 51192, 51457, 51286, 50871, 63307, 59244, 62053, 64727, 66499, 65039, 65039, 52675, 55960, 50962, 52320, 51354, 50852, 51603, 50451, 51327, 54055, 51327, 51795, 51085, 51204, 51085, 61025, 60343, 50876, 67661, 69498, 68877, 59244, 59244, 53228, 50961, 64402, 50809, 51809, 58005, 50419, 50916, 69498, 72854, 67974, 70215, 61130, 52634, 52374, 54392, 51335, 53174, 50427, 51214, 52297, 50287, 55706, 56425, 51460, 65664, 50434, 50916, 68877, 59244, 62053, 62282, 63835, 53307, 50816, 52374, 50890, 60644, 55960, 74173, 51085, 51731, 50292, 75509, 61027, 57094, 58263, 58681, 58681, 50805, 50443, 50816, 52374, 54411, 51818, 51653, 51818, 50993, 51279, 51362, 51279, 51541, 50791, 51505, 50852, 51483, 50451, 50798, 74653, 50877, 63100, 63287, 62705, 51825, 51653, 51825, 50993, 50916, 68677, 62780, 55071, 52374, 50890, 52177, 50877, 62391, 52217, 61134, 51818, 51483, 51818, 50975, 50916, 68677, 62780, 63287, 54690, 50962, 50425, 51457, 59216, 51457, 51483, 51315, 51391, 51315, 67248, 51354 ]

[ 0, 250, 1144, 26016, 3495, 2214, 3820, 19, 657, 8, 11098, 6, 4246, 10, 11739, 9, 13602, 6757, 6, 13305, 6, 21979, 8669, 6, 8, 3459, 29589, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 6, 5, 2214, 3905, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 83, 6, 211, 6, 8, 272, 1328, 63, 13428, 6, 2351, 41, 17627, 17274, 8, 15352, 30054, 5466, 14, 25362, 8, 21496, 1626, 5, 30443, 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 ]

[ 57739, 54140, 53087, 54140, 52676, 54140, 57512, 50843, 53675, 51580, 51060, 51404, 51060, 51245, 51060, 51770, 51060, 50445, 52261, 50449, 50816, 55245, 51263, 51111, 51245, 51111, 51746, 51111, 51940, 74451, 56721, 63012, 51200, 50879, 51323, 50879, 51593, 50879, 52150, 74949, 52261, 68154, 52512, 51200, 51226, 51323, 51226, 51593, 51226, 52150, 51226, 51118, 51345, 51020, 50889, 69063, 58487, 51332, 50808, 62681, 50885, 60975, 57158, 50961, 50416, 50847, 63722, 60683, 61862, 51263, 51215, 51245, 51215, 51746, 51175, 51940, 51215, 51118, 69728, 50805, 51332, 78118, 54898, 56973, 50885, 66636, 64266, 50884, 50909, 51179, 52925, 51580, 74874, 50879, 65325, 51770, 50879, 51118, 50936, 50433, 52261, 50437, 51263, 51175, 51245, 51175, 51746, 51175, 51940, 76183, 51704, 52512, 51332, 78118, 71479, 53672, 60032, 50868, 64266, 50884, 50909, 53759, 54586, 51200, 50921, 51323, 50921, 51593, 50921, 52150, 50921, 51118, 51160, 51023, 51238, 51332, 61189, 50988, 63204, 58131, 51421, 58275, 50847, 64278, 52396, 51332, 55960, 65134, 50988, 73557, 70387, 78230, 51135, 59671, 50909, 61612, 51200, 51541, 51323, 51541, 51593, 51226, 52150, 51541, 66079, 61697, 51745, 51083, 51048, 51208, 51157, 51171, 50921, 50946, 58630, 66828, 50848, 50921, 50944, 60354, 77357, 55307, 51031, 50421, 50852, 57550, 51200, 51192, 51323, 51192, 51593, 51192, 52150, 68114, 51083, 50952, 51023, 50938, 51171, 61128, 52390, 68978, 50848, 59034, 56754, 60878, 51421, 59483, 51580, 51100, 51404, 51100, 51245, 51173, 51770, 62109, 51507, 50882, 51083, 55955, 72090, 51762, 50437, 51263, 51060, 51245, 51060, 51746, 51158, 51940, 67174, 51507, 51870, 51083, 50910, 51171, 73696, 59709, 76163, 54020, 51031, 62100, 68682, 56690, 55933, 79528, 76353, 73656, 52150, 50893, 51083, 65779, 70425, 63350, 51200, 50821, 64490, 51593, 50858, 52150, 50821, 51171, 76331, 63694, 54898, 65134, 50944, 61952, 50884, 51007, 51179, 53173, 51200, 52266, 51323, 52266, 51593, 52266, 52150, 52266, 51083, 51362, 51020, 51204, 51171, 50890, 50946, 69993, 74951, 61612, 50850, 78955, 51135, 50841, 50799, 53723, 51300, 51595, 51073, 53160, 50936, 51171, 58630, 66828, 50988, 50921, 51042, 50921, 50848, 63556, 72922, 50847, 50821, 61797, 52437, 51089, 51286, 51020, 51111, 53160, 50830, 51171, 50830, 50988, 52390, 60760, 51042, 63424, 51421, 59076, 50791, 56359, 53160, 52877, 53723, 51300, 51595, 50924, 51083, 51111, 51171, 78750, 50880, 51042, 70689, 54441, 60032, 50847, 55557, 53885, 59147, 74536, 51940, 50806, 53772, 50806, 51089, 50865, 53160, 50859, 51171, 70251, 50988, 50887, 51042, 63694, 64266, 51179, 57868, 51499, 50858, 51746, 50858, 51478, 50858, 54022, 54596, 51020, 50865, 53160, 55531, 62767, 51171, 50880, 50988, 50880, 51042, 70689, 51041, 63317, 51200, 50859, 51323, 50859, 51593, 50858, 52150, 50859, 60113, 50455, 51499, 50952, 51746, 50952, 51478, 50940, 54022, 50952, 50457, 50791, 53902, 51200, 50859, 51323, 50859, 51593, 50858, 52150, 50859, 50799, 53723, 51745, 51263, 51977, 51245, 51977, 51746, 51977, 51940, 51977, 51401, 50917, 71830, 53160, 50880, 51171, 50880, 50988, 54441, 66828, 51042, 70689, 50883, 50847, 52942, 54892, 53160, 50859, 51171, 78118, 69388, 51042, 63694, 64266, 51179, 52712, 51089, 50865, 53160, 50882, 51171, 55976, 68978, 50988, 50930, 51042, 75175, 70391, 52633, 52209, 53723, 52651, 72090, 52105, 50437, 53160, 50821, 51171, 54459, 53723, 50824, 51401, 50938, 51083, 60694, 50880, 51042, 70689, 50883, 50847, 55089, 73314, 50843, 69824, 53160, 50880, 51171, 54989, 51188, 50924, 51478, 50924, 51940, 50936, 53772, 50924, 51089, 60732, 50917, 50988, 50880, 51042, 65003, 64143, 50445, 50791, 57868, 53160, 54988, 52413, 51173, 51263, 50940, 51245, 50940, 51746, 50921, 51940, 50940, 51171, 80140, 50930, 51042, 75175, 56409, 56721, 50847, 50930, 76199, 64814, 51200, 51226, 51323, 51226, 51593, 51226, 52150, 51226, 50816, 67239, 52093, 68154, 52195, 51118, 51048, 51020, 51290, 50801, 66828, 51332, 50830, 50988, 50830, 50885, 52154, 50961, 50416, 50868, 72662, 61291, 52093, 50425, 51200, 51192, 51323, 51192, 51593, 51192, 52150, 68114, 51118, 50910, 51023, 50936, 51332, 78750, 54301, 56973, 50885, 60410, 58360, 51864, 65416, 50909, 62941, 51580, 51215, 51404, 51215, 51245, 51215, 51770, 51215, 50433, 63193, 51704, 52512, 57219, 57285, 51746, 50893, 51940, 58281, 76010, 60032, 51332, 78118, 71479, 66636, 53759, 51031, 50440, 50847, 50884, 50909, 53806, 51200, 51030, 51323, 51030, 51593, 51030, 52150, 51030, 51118, 50921, 51023, 50924, 51332, 78118, 67356, 50885, 66636, 64266, 50884, 50909, 51179, 53409, 51332, 50880, 50988, 55531, 56721, 50885, 71580, 50883, 50847, 51041, 59671, 50909, 53563, 51200, 51226, 51323, 51226, 51593, 51226, 52150, 51226, 51083, 51091, 51208, 51191, 50457, 52112, 61697, 51059, 51171, 53558, 66828, 50946, 70689, 50880, 50944, 64960, 52942, 72922, 51007, 64246, 50852, 53087, 56221, 66361, 73656, 52150, 50806, 51083, 50938, 51023, 76144, 73696, 69993, 55960, 68978, 50944, 62712, 78955, 51135, 53230, 51507, 51010, 51580, 50893, 51404, 50893, 65325, 51770, 50893, 51083, 58546, 72090, 52112, 50437, 59147, 74536, 51940, 50923, 53772, 52322, 51507, 51009, 72320, 51171, 50890, 50946, 54020, 73314, 50848, 76163, 69504, 54357, 69431, 51007, 53885, 51200, 51167, 51323, 51167, 51593, 51167, 52150, 51167, 51083, 74224, 50910, 51171, 76331, 67356, 50848, 72736, 61952, 50884, 51007, 51179, 53533, 51171, 50890, 50946, 55960, 65134, 51263, 50940, 51245, 50940, 51746, 50952, 51940, 50940, 50848, 76163, 69504, 78955, 51135, 52349, 51020, 50914, 51171, 62798, 66141, 57430, 51263, 51685, 51245, 51685, 51746, 51977, 51940, 51685, 50944, 62372, 79368, 75739, 50799, 53723, 51300, 51595, 51157, 51083, 51159, 53160, 54452, 66828, 51171, 50930, 50988, 50961, 51042, 53843, 72922, 50848, 50961, 50847, 79736, 63032, 51089, 58281, 50917, 53160, 55531, 60760, 51171, 50880, 50988, 50880, 51042, 65003, 51041, 61869, 60113, 64821, 56359, 51200, 51167, 51323, 51167, 51593, 51175, 52150, 68765, 53723, 51300, 51401, 50938, 77214, 53160, 50880, 51171, 50880, 50988, 50880, 51042, 55089, 60032, 50848, 50883, 50847, 52942, 54586, 52106, 51033, 51347, 50911, 51593, 50911, 53253, 50911, 51089, 50917, 51023, 50938, 53160, 50890, 51171, 50890, 50988, 50895, 51042, 61722, 50848, 78230, 51135, 58501, 53160, 50930, 51171, 55510, 59147, 74536, 52106, 50879, 53772, 67933, 50930, 51042, 69914, 53989, 60376, 50847, 51139, 59163, 51200, 51192, 51323, 51192, 51593, 51192, 52150, 68179, 51089, 50917, 51020, 50917, 50457, 52112, 50461, 51263, 51469, 51245, 51469, 51746, 51696, 51940, 51469, 50799, 53723, 51541, 51401, 50925, 51083, 51100, 53160, 50880, 51171, 54441, 66828, 50988, 50883, 51042, 65003, 50883, 50847, 52942, 63267, 53160, 50887, 51171, 55777, 51401, 51100, 50988, 50887, 51042, 63694, 65394, 61553, 61236, 51089, 51111, 53160, 50880, 51171, 50880, 50988, 50883, 51042, 53412, 60760, 50848, 50883, 50847, 51041, 53644, 53723, 50911, 51401, 58493, 72090, 51762, 50437, 53160, 54459, 52413, 50858, 51083, 50938, 75829, 51171, 50880, 50988, 50880, 51042, 65003, 55089, 73314, 50847, 52942, 62860, 53160, 54989, 52413, 50924, 51089, 50952, 51020, 50917, 51171, 50880, 50988, 50880, 51042, 65003, 65266, 50847, 51041 ]

[ 0, 250, 765, 37903, 9, 10, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 6, 7630, 14805, 6453, 9, 657, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51280, 55665, 51198, 52718, 51280, 54980, 51708, 51080, 61627, 51280, 56109, 51198, 50838, 60603, 54869, 51708, 51080, 66301, 75986, 51099, 57060, 51232, 51080, 50796, 50435, 51144, 56109, 51144, 50838, 52591, 51280, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 2214, 19, 10, 980, 219, 6, 3366, 219, 5466, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 18569, 6, 22052, 6, 21072, 6, 8, 41, 3459, 9590, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 19376, 163, 5683, 6, 19, 5, 33215, 16739, 9, 3676, 6, 272, 6, 8, 83, 16331, 1328, 5, 2125, 6, 2351, 10, 19448, 8, 33558, 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 ]

[ 58402, 50799, 54369, 53002, 51303, 53002, 51249, 52570, 51457, 52024, 72488, 58004, 52096, 61514, 52096, 63452, 52337, 52016, 51801, 52091, 51801, 51701, 51801, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 66208, 50849, 53254, 51048, 50415, 51465, 53002, 50420, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 63028, 74202, 52631, 50813, 53059, 53352, 51044, 50863, 74773, 50795, 55091, 51290, 50432, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 72488, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 52725, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 58279, 50806, 52509, 60345, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 53400, 50923, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 50741, 50300, 50893, 54636, 57487, 53302, 50890, 52631, 50890, 53059, 50890, 58522, 72928, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 58337, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 50769, 50332, 51500, 55091, 50879, 53619, 77588, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50449, 66208, 65458, 63028, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50863, 53293, 77002, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 79052, 56172, 50746, 50324, 51801, 50799, 51672, 53073, 54369, 53073, 51651, 53073, 51457, 52149, 63028, 52016, 52204, 52091, 52204, 52398, 52204, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 60082, 50936, 54464, 51012, 50415, 51410, 51492, 50419, 74773, 50948, 53619, 57487, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50425, 66208, 58798, 63028, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50863, 53293, 52309, 53302, 50890, 52631, 50890, 53059, 50890, 51471, 74773, 51030, 53619, 50911, 50437, 51019, 52322, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 60899, 72928, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53555, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 50870, 53400, 50936, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 54892, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 52712, 72488, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 63028, 74202, 53059, 50813, 52631, 53309, 51130, 61239, 50841, 50769, 50332, 73087, 53302, 50890, 53059, 50890, 52631, 50890, 53642, 52763, 72488, 53302, 50862, 52631, 50813, 53059, 54345, 51044, 50883, 50769, 50344, 51345, 50456, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50461, 63452, 52337, 50799, 54369, 53002, 51465, 53002, 51303, 53002, 51249, 52570, 51457, 52024, 72928, 52016, 51801, 52091, 51801, 51701, 51801, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 66208, 50879, 53254, 59217, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 72928, 74202, 52631, 50813, 53059, 53352, 51044, 50863, 74773, 50795, 55091, 77684, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 62994, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 52725, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 58279, 50806, 52509, 60345, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 53400, 51030, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 50741, 50300, 50879, 54636, 52774, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 58337, 74202, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 63028, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 50769, 50332, 51500, 55091, 51158, 53619, 77588, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 56038, 66208, 55149, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 53293, 77002, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 79052, 57015, 58337, 50746, 50324, 52337, 50799, 54369, 53073, 51672, 53073, 51410, 51492, 51651, 53073, 51457, 52149, 52016, 52204, 52091, 52204, 52398, 52204, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 50949, 60082, 50921, 54464, 51138, 50419, 74773, 50940, 53619, 68360, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 50425, 66208, 50952, 53293, 57327, 72488, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 51471, 74773, 50921, 53619, 50936, 56903, 50936, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 50769, 50332, 73087, 53302, 50890, 52631, 50890, 53059, 50890, 60899, 72488, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53555, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 50870, 53400, 51030, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 54892, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 52712, 63028, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 53196, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 62865, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 61239, 50841, 50769, 50332, 51500, 60082, 51045, 54464, 51138, 50443, 74773, 70500, 53302, 50890, 52631, 50890, 53059, 50890, 53642, 50837, 53619, 50911, 50449, 66208, 57099, 62994, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50883, 50769, 50344, 51345, 53293, 57973, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 74773, 51014, 53619, 50911, 50799, 52326, 54153, 52571, 54153, 51465, 54153, 63028, 58004, 52024, 61514, 52149, 63452, 52122, 52091, 50921, 55500, 52121, 54549, 52121, 52091, 52121, 53302, 50862, 52631, 50862, 53059, 53309, 68673, 53203, 53854, 50820, 51701, 50924, 53302, 50890, 53059, 50890, 52631, 50890, 58522, 72488, 52252, 50865, 74202, 52631, 50813, 53059, 53352, 51044, 53196, 51716, 50940, 53302, 50890, 52631, 50890, 53059, 50890, 56270, 58337, 53195, 51167, 52009, 50806, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50387, 52214, 50834, 58669, 50805, 50443, 51716, 59591, 53854, 50828, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52214, 56038, 53195, 50940, 52252, 55260, 72488, 53302, 50862, 53059, 50813, 52631, 54597, 51044, 50863, 58669, 64848, 51701, 58603, 53195, 50980, 53302, 50890, 52631, 50890, 53059, 50890, 51762, 58669, 75389, 52091, 50936, 53400, 51030, 53302, 50862, 52631, 50862, 53059, 53309, 51130, 72808, 51701, 62340, 53195, 50911, 53854, 50820, 53302, 50890, 52631, 50890, 53059, 56034, 50825, 58669, 54919, 72928, 52758, 50893, 52252, 50893, 53302, 50862, 52631, 50813, 53059, 53352, 51044, 50863, 55810, 50917, 50431, 51716, 57647, 53032, 50806, 53302, 50890, 52631, 50890, 53059, 56034, 50829, 54102, 50938, 50437, 52009, 52322, 63028, 52758, 50893, 53302, 50862, 52631, 50813, 53059, 53309, 51130, 50949, 55810, 50917, 50443, 53195, 51090, 58669, 51918, 53854, 50828, 51716, 50940, 53302, 50890, 52631, 50890, 53059, 50890, 51230, 52388, 53068, 66827, 52252, 50948, 53302, 50862, 52631, 50813, 53059, 77794, 61490, 53966, 51464, 53555, 54182, 51362, 51701, 50977, 53302, 50890, 52631, 50890, 53059, 54020, 51464, 68196, 50829, 52792, 72914, 61514, 51293, 63452, 52096, 52091, 51353, 55500, 51717, 52233, 51717, 50799, 52326, 51492, 51476, 51492, 51465, 51655, 51069, 50923, 52091, 50917, 52564, 50862, 52588 ]

[ 0, 250, 15352, 30054, 8, 20425, 3152, 2214, 11, 163, 3694, 6, 4246, 10, 1372, 16464, 19, 223, 34693, 9, 657, 8, 15073, 4, 85, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 2351, 10, 20902, 8, 7580, 5466, 1328, 63, 765, 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, 0, 0, 0 ]

[ 54458, 73733, 54880, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 53852, 53893, 52223, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 55147, 60008, 51903, 53940, 54463, 54880, 64550, 50821, 63311, 50835, 57493, 53099, 61732, 51287, 50797, 61044, 51833, 51949, 53940, 62589, 51287, 50797, 77608, 53951, 51539, 59768, 79967, 50798, 54880, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 51139, 51406, 54726, 64549, 52087, 50829, 57096, 53989, 56402, 51949, 73501, 50798, 50359, 51005, 63015, 54880, 54192, 50359, 50969, 56402, 51833, 51833, 51833, 51949, 50359, 50819, 53940, 53031, 51897, 53479, 69723, 65566, 62425, 50798, 79677, 51833, 56446, 50798, 62348, 51041, 51833, 53439, 50798, 52611, 50437, 50798, 54880, 54880, 54880, 53852, 53852, 51406, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 50928, 51658, 52220, 54880, 54880, 53852, 51406, 51833, 51833, 51833, 51833, 75615, 52546, 54463, 53784, 69723, 65566, 60672, 51287, 52418, 69824, 50798, 54880, 51130, 51833, 51833, 51833, 51949, 53940, 74096, 54499, 69723, 65566, 62120, 63998, 51833, 51833, 56453, 63998, 62843, 66219, 50913, 56038, 50798, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54912, 54192, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 52683, 55245, 50798, 54528, 54866, 53683, 51406, 51406, 51406, 65118, 53671, 68472, 76325, 51463, 69723, 65566, 61481, 51289, 51139, 56124, 52543, 54528, 70332, 50798, 50359, 51005, 50359, 51005, 63015, 53412, 56402, 51833, 51833, 55147, 51949, 53940, 53217, 56331, 55549, 52300, 54200, 54751, 65566, 61242, 50798, 63015, 63015, 54880, 51833, 53600, 51833, 51833, 51833, 57110, 51289, 51139, 60078, 50798, 50359, 51005, 50359, 51005, 51041, 53600, 77054, 51170, 54880, 56628, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 54192, 56402, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 50825, 51528, 53852, 53852, 72278, 51833, 51833, 58888, 53301, 54200, 50880, 58825, 52300, 59346, 50798, 54087, 71746, 51833, 51833, 51833, 51949, 50359, 50819, 53940, 74236, 75615, 60879, 51287, 50797, 55983, 52924, 77608, 51510, 53600, 70297, 50798, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 54192, 51406, 51406, 53584, 53353, 53784, 51864, 59955, 50798, 50359, 51005, 63015, 51833, 51833, 51833, 51949, 53940, 50928, 53782, 52220, 51130, 51833, 51833, 65163, 58167, 50798, 63015, 53600, 51833, 51833, 51833, 53439, 50798, 71746, 78573, 51762, 50437, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 54382, 56402, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 52742, 50856, 52300, 51437, 52411, 50821, 53012, 67387, 51230, 51371, 57282, 61285, 50798, 54880, 54192, 52465, 51833, 51833, 51833, 51949, 53940, 53940, 53384, 77100, 51041, 58514, 54131, 62120, 63998, 51833, 56453, 50798, 54880, 51139, 51833, 53665, 50891, 51618, 51004, 50448, 50913, 54880, 57795, 50798, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 54912, 54192, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 52683, 55245, 50798, 54528, 54866, 50898, 51437, 53584, 59717, 53784, 50887, 51782, 51071, 50821, 57688, 67641, 50913, 54200, 59730, 50798, 50359, 51005, 50359, 51005, 51041, 51833, 51833, 55147, 52270, 53940, 50928, 51453, 51406, 52502, 54131, 60734, 50798, 63015, 54880, 51833, 53600, 51833, 51833, 57110, 50798, 63015, 51041, 53665, 54603, 50798, 50359, 51005, 50359, 51005, 51041, 77054, 51206, 55018, 62959, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 54382, 71746, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 50359, 50819, 50928, 51755, 52220, 54880, 54162, 54906, 50898, 51833, 51833, 51437, 58888, 52893, 52270, 75533, 54366, 61134, 51471, 50419, 51287, 50797, 51833, 51833, 51949, 53940, 74236, 51833, 51239, 60683, 51287, 50797, 55983, 52883, 51833, 53665, 62184, 51762, 50425, 50798, 54880, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 51130, 51437, 51406, 53934, 53110, 63856, 72512, 51463, 54332, 63043, 50816, 62618, 51471, 50431, 50798, 50359, 51005, 63015, 54880, 51130, 51833, 51833, 51833, 51949, 53940, 53962, 51897, 51539, 54162, 51156, 63937, 50798, 79677, 51833, 51833, 56446, 50798, 53600, 53439, 50798, 52611, 50436, 65906, 57784, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 51406, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 50928, 51658, 52220, 53852, 53852, 51406, 51833, 51833, 51833, 51437, 51239, 53390, 63856, 54366, 62505, 51762, 50443, 50798, 54880, 51130, 51833, 51833, 51833, 51949, 53940, 74096, 51437, 74457, 57013, 63998, 51833, 51833, 56453, 50798, 54880, 51130, 53665, 50834, 51618, 51004, 50448, 63678, 56918, 50798, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 54912, 54192, 54382, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 55245, 50798, 54528, 54866, 53850, 65987, 51437, 51406, 51406, 53934, 53110, 52100, 56804, 72512, 76325, 51928, 53988, 50821, 54706, 62476, 51230, 51371, 63318, 50798, 50359, 51005, 50359, 51005, 63015, 53412, 71746, 51833, 51833, 55147, 51949, 50359, 50819, 53940, 50928, 51453, 52586, 55176, 51179, 62037, 50798, 63015, 54880, 51833, 53600, 51833, 51833, 57110, 50798, 62348, 51139, 53600, 53665, 54794, 50798, 50359, 51005, 50359, 51005, 65493, 65871, 54739, 56628, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 51130, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 50928, 51755, 52220, 53852, 51130, 51833, 51406, 53390, 56804, 54366, 53662, 51156, 58093, 50816, 62264, 51258, 50418, 51762, 50419, 63998, 51833, 51833, 51833, 51949, 53940, 74236, 51539, 51041, 64729, 51287, 50797, 55983, 52924, 51833, 53665, 71354, 78572, 51762, 50425, 50798, 54880, 54880, 54880, 54880, 53893, 54866, 54866, 54866, 54866, 53683, 54382, 54192, 54192, 65987, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 51406, 53846, 52270, 52683, 66134, 52389, 54528, 54866, 51130, 51406, 51406, 53934, 53110, 61682, 72512, 51463, 54332, 50962, 50430, 51762, 50431, 50798, 50359, 51005, 63015, 54880, 54192, 56402, 51833, 51833, 51833, 51949, 53940, 53031, 51897, 51437, 54162, 51156, 63937, 50798, 63015, 53600, 77608, 55703, 79677, 51833, 53439, 50798, 52611, 50436, 65906, 57784, 50798, 54880, 54880, 54880, 54880, 54880, 53852, 53852, 53852, 53852, 51406, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51833, 51949, 53940, 54114, 51479, 51406, 53390, 58250, 51539, 52411, 50821, 53525, 67387, 51762, 50443, 50798, 54880, 51130, 51833, 51833, 51833 ]

[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 1365, 6288, 6, 16, 10, 15352, 30054, 8, 19448, 3251, 278, 11, 5, 762, 9, 274, 10431, 538, 4, 1890, 12851, 154, 23, 41, 178, 5285, 20889, 8, 11, 204, 73, 306, 86, 6, 24, 1575, 10, 32625, 11739, 9, 13305, 6, 21979, 8669, 6, 38668, 22052, 6, 6755, 12547, 6, 8, 21040, 2426, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 20183, 8, 9066, 2821, 16235, 6, 25, 114, 24, 58, 233, 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 ]

[ 57128, 50799, 52328, 53487, 50435, 52295, 52431, 50799, 54549, 52727, 52091, 52727, 52398, 52727, 51315, 50854, 50973, 65655, 79111, 71423, 51086, 60724, 50989, 67761, 50965, 51351, 50426, 50973, 65593, 56389, 58368, 51220, 62063, 51086, 76173, 51028, 66851, 52955, 68530, 70597, 51086, 51210, 50799, 54549, 52727, 52606, 52727, 52582, 52727, 51324, 50833, 50989, 64449, 76724, 66147, 51378, 50959, 64401, 71662, 51040, 50955, 56040, 53470, 53088, 51307, 64341, 51220, 63634, 51086, 51174, 50447, 74247, 50999, 52643, 50973, 80083, 51581, 50303, 51376, 50799, 53496, 52727, 52091, 52727, 52398, 52727, 51360, 71866, 51177, 50968, 51100, 50417, 51176, 53932, 50956, 55797, 50916, 51134, 56040, 51056, 50973, 67272, 50965, 70455, 52597, 51040, 51481, 50447, 51001, 71221, 58229, 51040, 77146, 50956, 50854, 50973, 62659, 51279, 50959, 50799, 55500, 52212, 53496, 52212, 52091, 52212, 51953, 51314, 50916, 62036, 66147, 51315, 53728, 51027, 54347, 51086, 57630, 51040, 57250, 51027, 53513, 50916, 56529, 51027, 52691, 50622, 54549, 52212, 52091, 52011, 52582, 52212, 52977, 51447, 51324, 58628, 71274, 68219, 62532, 51378, 69877, 50620, 51086, 76791, 50916, 52843, 50619, 52606, 72052, 51775, 50973, 51411, 50989, 51806, 50456, 50775, 50326, 52460, 57128, 61372, 52988, 52016, 52988, 52582, 52988, 51701, 55597, 51335, 50928, 50877, 51277, 50899, 51423, 50989, 51337, 51120, 52151, 71241, 51277, 50877, 51481, 50899, 51642, 50438, 54825, 67047, 50851, 50989, 51328, 50877, 51481, 50443, 53195, 53041, 50899, 51123, 50446, 53195, 51345, 56279, 50827, 64190, 50989, 69096, 52758, 54370, 53195, 51100, 50799, 55500, 52988, 53496, 52988, 52091, 52988, 67032, 51040, 51642, 50877, 51309, 51279, 53588, 50418, 54182, 51016, 56248, 71007, 51884, 50877, 72759, 75573, 79848, 67514, 71289, 55634, 55493, 51731, 50305, 53536, 50308, 59437, 51254, 50453, 55625, 53875, 52758, 50805, 50799, 78743, 52988, 54549, 59828, 52016, 73728, 52582, 52988, 50989, 51423, 50899, 51534, 50973, 51400, 51324, 52503, 53337, 51242, 50989, 51212, 50973, 51484, 50437, 54825, 50924, 55898, 51328, 50989, 51328, 50973, 51309, 50443, 53195, 59673, 53195, 51377, 50447, 50899, 55256, 50973, 50870, 50899, 51328, 50989, 69780, 52758, 67046, 54678, 54890, 50849, 50799, 63995, 52440, 51678, 52440, 50899, 51242, 68622, 51086, 51576, 51214, 52598, 50417, 54890, 51003, 53337, 50810, 51086, 53535, 50311, 78885, 54182, 56305, 54825, 56282, 75154, 52440, 52091, 52397, 51701, 55597, 50899, 51328, 50916, 51177, 50877, 51328, 51279, 52263, 50443, 53195, 62813, 53195, 69654, 53496, 55036, 50305, 62215, 57069, 54509, 52758, 57326, 52758, 51121, 50799, 61372, 52988, 52016, 52988, 52582, 52988, 50899, 51101, 50877, 51212, 50989, 51423, 51120, 51480, 50960, 61912, 51078, 53435, 50423, 50947, 53174, 53337, 51008, 50989, 67252, 55544, 50899, 66380, 54182, 56305, 54825, 50938, 55898, 79322, 59023, 50972, 50443, 53195, 59484, 53195, 51124, 60027, 50933, 50989, 77704, 50974, 50455, 52758, 62705, 53195, 51173, 50799, 75154, 52988, 53496, 52988, 52091, 52988, 51040, 62215, 58800, 51121, 51279, 51351, 51317, 51795, 50418, 54182, 53227, 54182, 51124, 50998, 52500, 50423, 50947, 53174, 56248, 59437, 52363, 50305, 51753, 50438, 51040, 51365, 50916, 59437, 59187, 51279, 51542, 50447, 55493, 58501, 55493, 52843, 50973, 74296, 51581, 50305, 78862, 55625, 53875, 52758, 51110, 50916, 72969, 75283, 50840, 50799, 78743, 52988, 54549, 59828, 52016, 55597, 52582, 52988, 50989, 51177, 50973, 51111, 79727, 51324, 51218, 50960, 51795, 50420, 51078, 51352, 50423, 51076, 61874, 50989, 68839, 60582, 78885, 54182, 53040, 54825, 67922, 76280, 61622, 55200, 53195, 58275, 53195, 68031, 50989, 74782, 59353, 62174, 52758, 75547, 54603, 54890, 50938, 50799, 63995, 52440, 51678, 52988, 50899, 51212, 69940, 50973, 51212, 51214, 51295, 51311, 51300, 50416, 54890, 51178, 57761, 51745, 50423, 50929, 51059, 53337, 50942, 50973, 51101, 50861, 51110, 50435, 50899, 52896, 54825, 50809, 64724, 52440, 54064, 52440, 51214, 66229, 61368, 63804, 50808, 51246, 50882, 60217, 51207, 50950, 50929, 53609, 53195, 50818, 51279, 69114, 50821, 50986, 50859, 50947, 50950, 50443, 52758, 52878, 51234, 51189, 50899, 51141, 50861, 51343, 50906, 51218, 51246, 50824, 66123, 51064, 79867, 52758, 51158, 50461, 51574, 51196, 51311, 51870, 50998, 51009, 50799, 51881, 51080, 67348, 52212, 54549, 52212, 52016, 52212, 51678, 52212, 51086, 51101, 50899, 51121, 50861, 51177, 51315, 51091, 50929, 51009, 50423, 60616, 52231, 52228, 52905, 61384, 51819, 52491, 52370, 50303, 57094, 61566, 65135, 60616, 53379, 52228, 51682, 50296, 55167, 61384, 55055, 52491, 52545, 50303, 52600, 52033, 51080, 63827, 52212, 52016, 52212, 52091, 52212, 51701, 52212, 50899, 51116, 73822, 50989, 51400, 51378, 51391, 50960, 51189, 50947, 52195, 51078, 51285, 52028, 52195, 50441, 63293, 51819, 52891, 52610, 50877, 60318, 51212, 50989, 59562, 51378, 67419, 60616, 52231, 52228, 50828, 51207, 52266, 50460, 50960, 52369, 50461, 50929, 51407, 50799, 51881, 51243, 63293, 55055, 52891, 51030, 55464, 53866, 54549, 53866, 52016, 53866, 51678, 53866, 50899, 51177, 72362, 50973, 51203, 51026, 51391, 51076, 51407, 50419, 61384, 52231, 52491, 55893, 61384, 51819, 52491, 50893, 53337, 57094, 51194, 50973, 51194, 50429, 60616, 53379, 52228, 53695, 61384, 55177, 52491, 51427, 51026, 51330, 50435, 50899, 53980, 69308, 50861, 65562, 63475, 50899, 51862, 50447, 50861, 52743, 63827, 52011, 52016, 52011, 52582, 52011, 51701, 53126, 50299, 61895, 50854, 57031, 50973, 57622, 51378, 51124, 50899, 51255, 50989, 51124, 50877, 51255, 50461, 51574, 51196, 51311, 50918, 50998, 51009, 50799, 51838, 51447, 67348, 52212, 54549, 52212, 52016, 52727, 51678, 52212, 50899, 51400, 50973, 51400, 50861, 51048, 51315, 51351, 50929, 51009, 50423, 60616, 52231, 52228, 59824, 55493, 53379, 53319, 50930, 53337, 51194, 50861, 51112, 75992, 50428, 54182, 53379, 52172, 53695, 54890, 52231, 51979, 55486, 54182, 56120, 52172, 51286, 51315, 65859, 50960, 51551, 50437, 52028, 61086, 52225, 51447, 63827, 52212, 52091, 52212, 51701, 52212, 50899, 51255, 50989, 51255, 50877, 51203, 51378, 51134, 51078, 51356, 50439, 50947, 51009, 50442, 61384, 52231, 52491, 55933, 60616, 55055, 52228, 50948, 56279, 66982, 57254, 54509, 51378, 61219, 60616, 52231, 52228, 56904, 50960, 50949, 51207, 51551, 50799, 51838, 51671, 55493, 51819, 53319, 50911, 55464, 52212, 54549, 52212, 52016, 52212, 51678, 52212, 51026, 61566, 57094, 58654, 50901, 50929, 68904, 51076, 57214, 54182, 53106, 52172, 50940, 50425, 54890, 51819, 51979, 50911, 53337, 50812, 61293, 50973, 52559, 54182, 52722, 52172, 51103, 50437, 50960, 50883, 50998, 51870, 50438, 52886, 51447, 55500, 52727, 52016, 52212, 52091, 52727, 51701, 52727, 50902, 51177, 50916, 51095, 50877, 51194, 51027, 51807, 50289, 51535, 51131, 51196, 78963, 50441, 55017, 51693, 52949, 76027, 55017, 51129, 52949, 63640, 55017, 50982, 52949, 53421, 50916, 57669, 51194, 50902, 51221, 50453, 55017, 50891, 52949, 53556, 55017, 50870, 52949, 50870, 51027, 78970, 55017, 50863, 52949, 50863, 50916, 57867, 51317, 51196, 51131, 50949, 50799, 52225, 51447, 53828, 51447, 53496, 52212, 51027, 65378, 51177, 51028, 51060, 50877, 51194, 51279, 51351, 50998, 51527, 50415 ]

[ 0, 713, 14899, 3152, 2214, 11, 83, 538, 1575, 10, 2382, 3459, 8669, 981, 5, 33301, 6, 2800, 30, 41, 3459, 9590, 6, 326, 5638, 18026, 6, 21072, 6, 8, 18558, 4, 590, 10, 1769, 20889, 9, 10572, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 41, 20425, 8, 17627, 17274, 16464, 4, 20, 33215, 16739, 9, 381, 6, 83, 6, 8, 211, 35315, 1328, 5, 1349, 6, 2351, 10, 1372, 8, 15352, 30054, 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 ]

[ 67004, 51282, 50961, 73833, 51023, 51033, 51185, 51030, 51785, 55973, 51282, 50961, 73833, 51023, 51033, 51385, 51030, 52669, 53308, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 56157, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53794, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 66821, 50849, 51089, 74224, 50849, 51185, 50849, 51785, 57519, 51282, 50849, 51089, 74224, 50849, 51185, 53466, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 52669, 53308, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 56157, 51068, 50911, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53794, 51068, 50911, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51068, 50911, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 66821, 50849, 51089, 74224, 50849, 51185, 50849, 51785, 57519, 51282, 50849, 51089, 74224, 50849, 51185, 53466, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 52669, 53308, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 56157, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53794, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 66821, 50849, 51089, 74224, 50849, 51185, 50849, 51785, 57519, 51282, 50849, 51089, 74224, 50849, 51185, 53466, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 52669, 53308, 51282, 50849, 51089, 74224, 50849, 51385, 50849, 51860, 53470, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51185, 50914, 51507, 55441, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51185, 50849, 70782, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 55973, 51401, 50849, 51083, 77447, 50849, 51092, 50849, 51598, 53308, 51401, 51189, 51083, 51189, 51020, 51189, 51208, 51189, 51598, 56157, 51507, 53794, 52488, 57825, 59359, 51090, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 52669, 53308, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 51860, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 50798, 59359, 61588, 50914, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53702, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51598, 50849, 51528, 55163, 50914, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 53308, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 50914, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 56157, 53572, 53834, 50849, 52593, 53794, 55495, 53834, 59359, 61588, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 52593, 56934, 55235, 51591, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 52669, 53308, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 51860, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 50798, 59359, 61588, 50914, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 56934, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51528, 55163, 50914, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 56217, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 55495, 57825, 59359, 61588, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 52669, 53308, 52124, 50849, 51815, 50849, 51282, 50849, 51495, 50849, 51089, 74224, 50849, 51860, 50849, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 51507, 50914, 52129, 53794, 50798, 59359, 61588, 50914, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51507, 53702, 51763, 50849, 51282, 50849, 51083, 50849, 51268, 74224, 50849, 51598, 50849, 51528, 55163, 50914, 51401, 50914, 51083, 50914, 51020, 50914, 51208, 50914, 51598, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 53308, 51401, 50849, 51083, 77447, 50849, 51208, 50849, 51598, 50914, 51450, 55163, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 56157, 53572, 53834, 50849, 52593, 53794, 55495, 53834, 59359, 61588, 50914, 51763, 50914, 51282, 50914, 51083, 50914, 51268, 50914, 51023, 50914, 52593, 56934, 55235, 51591, 51528, 55163, 50914, 52124, 50914, 51815, 50914, 51282, 50914, 51495, 50914, 51089, 50914, 51023, 50914, 51785, 50914, 57087, 50849, 52389, 59359, 61588, 50914, 52124, 50849 ]

[ 0, 250, 15352, 30054, 15855, 2125, 19, 10, 2842, 9, 3495, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 11926, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 8504, 11, 5, 762, 9, 381, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 381, 6, 230, 12361, 6, 230, 10431, 119, 6, 274, 10431, 119, 6, 8, 211, 3639, 7, 63, 13363, 28191, 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 ]

[ 56236, 54734, 62716, 50973, 51242, 50418, 51086, 51862, 50899, 50891, 51176, 51126, 50421, 51966, 65869, 50956, 50933, 51027, 58032, 50876, 60259, 50972, 50443, 66737, 51086, 75635, 51001, 71674, 51254, 52177, 51503, 70843, 50902, 58871, 54448, 51086, 56037, 51279, 59768, 50989, 52921, 50900, 60443, 51001, 51100, 50956, 50838, 50442, 61673, 50899, 61192, 51114, 76280, 50886, 58066, 50971, 50416, 50931, 51095, 74850, 69662, 72172, 73768, 51085, 58659, 50877, 55946, 50956, 64015, 50999, 65840, 50955, 50437, 51120, 52600, 51147, 50917, 50439, 50965, 78655, 50973, 50928, 50871, 52875, 51197, 64559, 62885, 50989, 52725, 76531, 50876, 78970, 51050, 61994, 51220, 72914, 67642, 50902, 50891, 57190, 56231, 51378, 60461, 51001, 72141, 50877, 54316, 51062, 50938, 50424, 62504, 50434, 51220, 64151, 50874, 62094, 50973, 55167, 50931, 56819, 51114, 50925, 50956, 62055, 57028, 51062, 64482, 59855, 50457, 51220, 51141, 50973, 62464, 63903, 62774, 50874, 51601, 50989, 51172, 50419, 50877, 51328, 50422, 51001, 72759, 51399, 51623, 51028, 51314, 55753, 51220, 61622, 51126, 50427, 50916, 51824, 50429, 50973, 50984, 50431, 50902, 58662, 51147, 51753, 50440, 51787, 65737, 51147, 51058, 50796, 50448, 51147, 58325, 50899, 52980, 50989, 53486, 50457, 51147, 50878, 50973, 52783, 58479, 56624, 51147, 54611, 74251, 50424, 51147, 78950, 50999, 51194, 50437, 51220, 51178, 50443, 51040, 52980, 50446, 50973, 72172, 52147, 50448, 50931, 51412, 50455, 51146, 51110, 50796, 50434, 51220, 50955, 50443, 51147, 58238, 50931, 68571, 59856, 51601, 50973, 65605, 50965, 58645, 67977, 50448, 50899, 51183, 50796, 50443, 51040, 51199, 50453, 50899, 51363, 57126, 51043, 50421, 76329, 50429, 50989, 51043, 50437, 50877, 51203, 50446, 50965, 69960, 50877, 51194, 60212, 51028, 51790, 50451, 51279, 62375, 51315, 68935, 51027, 54719, 51040, 66460, 50916, 62495, 61133, 51601, 51028, 51162, 50434, 51028, 51056, 50441, 51247, 54758, 51360, 67267, 51050, 61800, 51027, 58145, 51040, 54105, 50871, 69305, 61133, 50454, 51028, 51591, 50796, 50434, 50973, 51203, 50448, 50877, 65780, 65893, 50796, 50435, 50877, 56509, 51966, 51000, 50440, 51360, 50912, 50442, 51378, 56069, 75039, 51027, 59265, 50989, 55370, 50999, 51204, 55746, 51147, 51446, 50429, 51279, 58734, 51378, 61075, 51040, 62551, 50989, 56892, 50876, 58761, 51028, 51003, 53069, 51114, 51194, 50429, 50968, 51422, 50443, 51324, 70435, 51378, 70635, 51086, 52386, 50310, 50984, 50449, 71773, 50451, 50973, 51637, 50460, 50989, 55044, 52591, 51001, 57818, 50902, 51542, 50458, 51028, 51363, 57731, 50973, 51047, 50447, 51214, 69875, 51120, 59528, 51026, 64125, 51086, 60754, 61335, 50454, 57660, 50457, 50973, 51191, 75695, 50973, 50943, 50435, 52046, 62090, 51324, 55608, 51197, 64831, 51026, 59843, 51086, 67267, 50956, 51123, 50448, 60569, 50451, 50973, 51623, 77033, 59755, 50445, 50861, 59433, 78433, 77033, 50861, 50995, 50435, 51085, 52958, 51026, 69864, 50900, 57043, 50916, 60554, 50951, 65655, 50886, 56229, 74023, 50902, 62488, 50968, 51115, 50424, 50876, 53577, 50426, 51315, 63444, 51086, 64408, 71773, 50434, 50965, 63397, 50931, 68250, 62749, 50902, 51448, 50451, 51147, 65732, 51114, 51312, 60212, 78966, 51028, 62000, 51028, 51447, 50438, 50968, 51742, 50454, 51279, 51210, 50459, 51315, 50971, 51601, 51027, 50907, 50419, 75039, 50424, 74881, 50428, 67514, 50434, 51028, 51006, 79254, 51040, 50995, 50443, 51360, 51862, 57428, 51269, 50446, 50965, 60979, 51176, 76606, 51028, 50904, 52478, 51040, 60157, 51040, 51391, 50452, 50916, 51025, 54206, 59946, 50989, 51123, 50424, 51324, 51074, 79143, 50941, 50427, 50902, 59347, 51378, 63280, 51027, 51097, 50796, 50433, 51040, 50915, 50448, 51360, 51862, 70795, 50449, 51176, 59038, 50965, 79519, 51028, 50864, 55753, 51040, 51101, 50436, 51040, 50959, 50441, 50899, 63280, 51040, 71765, 66481, 50451, 51040, 74022, 50916, 51203, 51809, 69505, 50424, 50989, 76991, 51324, 51376, 50427, 50877, 70573, 50902, 57039, 51378, 50959, 50445, 51027, 51380, 56020, 50899, 51412, 50431, 50989, 51363, 50440, 50916, 51391, 50449, 51315, 51645, 50965, 51824, 63932, 53131, 50315, 51862, 50458, 51176, 51337, 52478, 51086, 51212, 53337, 51101, 50434, 50916, 51194, 50443, 50871, 51400, 50452, 50965, 50943, 51601, 50989, 51351, 50434, 51040, 51380, 50445, 50916, 51380, 50456, 50956, 50932, 52591, 50899, 79882, 51086, 51432, 50457, 51399, 51790, 51601, 51279, 51079, 50421, 51315, 51210, 50427, 51027, 51142, 50433, 51040, 51074, 50439, 70088, 50445, 51028, 51142, 51399, 51221, 50451, 50877, 69096, 50916, 50904, 73607, 51159, 51040, 51470, 56945, 51254, 50425, 51315, 54860, 51399, 74449, 51247, 50974, 50446, 51027, 79616, 51040, 69096, 51220, 51203, 50458, 50871, 51862, 51601, 50877, 51376, 50419, 50999, 57240, 50999, 51145, 51028, 51142, 50428, 70741, 50434, 67558, 50439, 51040, 74722, 51027, 64529, 50877, 51480, 50449, 51050, 51000, 50455, 50877, 51328, 67331, 50457, 51114, 56569, 50999, 50836, 51809, 51966, 73122, 51814, 51091, 50423, 51027, 54889, 51040, 54211, 50433, 50989, 54836, 50438, 52128, 51189, 50442, 50877, 69232, 51279, 68926, 51062, 51178, 50458, 51040, 51269, 51601, 51399, 51159, 50416, 50989, 77862, 71579, 50423, 50989, 53024, 50426, 51028, 50982, 50428, 51787, 62089, 50902, 51965, 50435, 51114, 51210, 50436, 51220, 51419, 50438, 51430, 51183, 50443, 51324, 70635, 51378, 79519, 51086, 51365, 50458, 71773, 76953, 51101, 50416, 50989, 52192, 50422, 51146, 51677, 50423, 50902, 51254, 50428, 50973, 51432, 50434, 75105, 50440, 50899, 51470, 50445, 51086, 52063, 50451, 51378, 74445, 51220, 51675, 52177, 51214, 56909, 51120, 56552, 51026, 63163, 51086, 51254, 50439, 50899, 54947, 51220, 50943, 50445, 50973, 51051, 50451, 50861, 70347, 50899, 57995, 51086, 51210, 51220, 50914, 52478, 51026, 50972, 50424, 51120, 64205, 51220, 51077, 50436, 52046, 53743, 51026, 51142, 50449, 51086, 51254, 50454, 50999, 51194, 50455, 50956, 51824, 50461, 50861, 51470, 52177, 50951, 54657, 50951, 51212, 50973, 51365, 54439, 51142, 64551, 52192, 50437, 51086, 74965, 51026, 50912, 67655, 56918, 50861, 76690, 50876, 50825, 50968, 61192, 50951, 62705, 52206, 50941, 75464, 67381, 51430, 51058, 50417, 51315, 70145, 51339, 51162, 50422, 51146, 50901, 53523, 50972, 50428, 51026, 54060, 79580, 55487, 51062, 50820, 51430, 59948, 66005, 50902, 51609, 50324, 51142, 50439, 51062, 68273, 51430, 52878, 51841, 50933, 50445, 51405, 51128, 50448, 51339, 50833, 51399, 64314, 51176, 65496, 52128, 60734, 51787, 50925, 51146, 71429, 51086, 52011, 51809, 50916, 51079, 50421, 50965, 69645, 51430, 50854, 51399, 61036, 51028, 52441, 50432, 50999, 52263, 50433, 51399, 51637, 50434, 51430, 51452, 50439, 51279, 51006, 50445, 51315, 54626, 51027, 51142, 50455, 51040, 51074, 50461, 50916, 50971, 52478, 51399, 51535, 50419, 51028, 53130, 50320, 52519, 50999, 52519, 50423, 50877, 51470, 50429, 50916, 59068, 51040, 51210, 50440, 51027, 51166, 50447, 51315, 72037, 51028, 50981, 52177, 51360, 51210, 50423, 51176, 51524, 78312, 60002, 50965, 50941, 50439, 50931, 57940, 51028, 51665, 50329, 69305, 76521, 50455, 50965, 63729, 67558, 51028, 51218, 53069, 51176, 51470, 50424, 51360, 50984, 50431, 50968, 51221, 50437, 51324, 63231, 64062, 50443, 51027, 51365, 50448, 50899, 70185 ]

[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 8, 5679, 26709, 5466, 6, 4246, 10, 24896, 981, 5, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 38668, 22052, 6, 26432, 636, 3938, 22052, 6, 8, 38668, 3038, 4, 20, 2125, 16, 278, 11, 211, 3694, 19, 10, 231, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 6, 8, 5, 1049, 33215, 16739, 10726, 9, 274, 6, 1918, 6, 12608, 37152, 6, 163, 428, 6, 8, 211, 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 ]

[ 54838, 50628, 65269, 61137, 53879, 59047, 51251, 54317, 51113, 50813, 51154, 59517, 65269, 51154, 53402, 51251, 55368, 51113, 50813, 51154, 58332, 51154, 50809, 52316, 50830, 58274, 76621, 51251, 51126, 51154, 51051, 50462, 51154, 50813, 52316, 50942, 50468, 51154, 50809, 52316, 50830, 50474, 51251, 51126, 51154, 51051, 50480, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 51699, 50904, 52371, 51524, 50444, 51638, 50862, 51699, 56060, 51299, 50809, 51883, 50830, 57889, 76621, 51883, 50904, 52830, 51524, 50462, 73652, 51883, 50878, 50468, 51299, 50809, 51883, 50830, 50474, 51883, 50904, 52830, 51524, 50480, 73652, 51883, 50878, 54838, 65269, 61137, 55528, 51161, 65660, 59047, 51251, 54317, 51113, 50813, 51154, 59517, 65269, 51154, 53402, 51251, 55368, 51113, 50813, 51154, 58332, 51154, 50809, 52316, 50830, 53623, 51161, 58274, 76621, 51251, 51126, 51154, 51051, 50462, 51154, 50813, 52316, 50942, 50468, 51154, 50809, 52316, 50830, 50474, 51251, 51126, 51154, 51051, 50480, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 52776, 51161, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 51699, 50904, 52371, 51524, 50444, 51638, 50862, 51699, 56060, 51299, 50809, 51883, 50830, 53215, 51161, 57889, 76621, 51883, 50904, 52830, 51524, 50462, 73652, 51883, 50878, 50468, 51299, 50809, 51883, 50830, 50474, 51883, 50904, 52830, 51524, 50480, 73652, 51883, 50878, 54838, 65269, 61137, 53879, 59047, 51251, 54317, 51113, 50813, 51154, 59517, 65269, 51154, 53402, 52016, 50795, 57391, 50849, 51251, 55368, 52016, 50795, 57391, 50849, 51113, 50813, 51154, 58332, 52233, 50795, 57049, 77364, 50809, 52316, 50830, 58274, 76621, 52016, 50795, 57391, 50849, 51251, 51126, 51154, 51051, 50462, 52016, 50795, 57391, 77364, 50813, 52316, 50942, 50468, 52233, 50795, 57049, 77364, 50809, 52316, 50830, 50474, 52016, 50795, 57391, 50849, 51251, 51126, 51154, 51051, 50480, 52016, 50918, 57391, 51103, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 55500, 50795, 58600, 50849, 51699, 50904, 52371, 51524, 50444, 55500, 50795, 58600, 50849, 51638, 50862, 51699, 56060, 52233, 50795, 57049, 50849, 51299, 50809, 51883, 50830, 57889, 76621, 52016, 50795, 57391, 50849, 51883, 50904, 52830, 51524, 50462, 52016, 50795, 57391, 50849, 73652, 51883, 50878, 50468, 51821, 50795, 60609, 50849, 51299, 50809, 51883, 50830, 50474, 52233, 50795, 57049, 50849, 51883, 50904, 52830, 51524, 50480, 52016, 50807, 57391, 50914, 73652, 51883, 50878, 54838, 65269, 61137, 55528, 51161, 65660, 59047, 51251, 54317, 55500, 50795, 58600, 50849, 51113, 50813, 51154, 59517, 52233, 50795, 57049, 50849, 65269, 51154, 53402, 52016, 50795, 57391, 50849, 51251, 55368, 52016, 50807, 57391, 50914, 51113, 50813, 51154, 58332, 51154, 50809, 52316, 50830, 53623, 51161, 58274, 76621, 51251, 51126, 51154, 51051, 50462, 55500, 50795, 58600, 77364, 50813, 52316, 50942, 50468, 52233, 50795, 57049, 77364, 50809, 52316, 50830, 50474, 52016, 50795, 57391, 50849, 51251, 51126, 51154, 51051, 50480, 52016, 50918, 57391, 51103, 51154, 50813, 52316, 50942, 54838, 51638, 50809, 51699, 50830, 52776, 51161, 55030, 59047, 51699, 50904, 52371, 74990, 51638, 50862, 51699, 56799, 51638, 50809, 51699, 53402, 55500, 50795, 58600, 50849, 51699, 50904, 52371, 51524, 50444, 55500, 50795, 58600, 50849, 51638, 50862, 51699, 56060, 52233, 50795, 57049, 50849, 51299, 50809, 51883, 50830, 53215, 51161, 57889, 76621, 52016, 50795, 57391, 50849, 51883, 50904, 52830, 51524, 50462, 52016, 50795, 57391, 50849, 73652, 51883, 50878, 50468, 51821, 50795, 60609, 50849, 51299, 50809, 51883, 50830, 50474, 52091, 50800, 61962, 50812, 51883, 50904, 52830, 51524, 50477, 52233, 50991, 57049, 51124, 50480, 73652, 51883, 50878, 54838, 52016, 50807, 57391, 50914, 51638, 50862, 51154, 50813, 52602, 50983, 56774, 60055, 51638, 50862, 51154, 52524, 51638, 50862, 51154, 52810, 51821, 50983, 60609, 51189, 51638, 50862, 51154, 50813, 52602, 50983, 56774, 57222, 51638, 50862, 51154, 53524, 51638, 50862, 51154, 52800, 52016, 50983, 57391, 51189, 51883, 50862, 51154, 50813, 53215, 50983, 57889, 68862, 51883, 50862, 51154, 50813, 50462, 51883, 50862, 51154, 50813, 50468, 55500, 50983, 58600, 51189, 51883, 50862, 51154, 50813, 53215, 50983, 57889, 50983, 50474, 51883, 50862, 51154, 50813, 50480, 51883, 50862, 51154, 50813, 54838, 73652, 51491, 50813, 55472, 51161, 75385, 59047, 73652, 51491, 52524, 73652, 51491, 52810, 52233, 50807, 57049, 50914, 73652, 51491, 52781, 73652, 51491, 53524, 52233, 50795, 57049, 50849, 73652, 51491, 52800, 52233, 50795, 57049, 50849, 51251, 50862, 51113, 50813, 53215, 51161, 57889, 76621, 52016, 50795, 57391, 50849, 51251, 50862, 51113, 50813, 50462, 52606, 50795, 75314, 50849, 51251, 50862, 51113, 50813, 50468, 52606, 50800, 75314, 50812, 51251, 50862, 51113, 50813, 50471, 52016, 50991, 57391, 51124, 50474, 51251, 50862, 51113, 50813, 50480, 52233, 50800, 57049, 50812, 51251, 50862, 51113, 50813, 50483, 52016, 50807, 57391, 50914, 54838, 51251, 50813, 78990, 52602, 50983, 56774, 60055, 51251, 50813, 51165, 53901, 52016, 50795, 57391, 50849, 51251, 50813, 51165, 54215, 52072, 50795, 66759, 50849, 51251, 50813, 78990, 52602, 50983, 56774, 57222, 51821, 50918, 60609, 51103, 51251, 50813, 51165, 54247, 51251, 50813, 51165, 53938, 51251, 50813, 75841, 53215, 50983, 57889, 68862, 51251, 50813, 75841, 50462, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 50468, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 53215, 50983, 57889, 50983, 50474, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 50480, 52016, 50795, 57391, 50849, 51251, 50813, 75841, 54838, 52606, 50807, 75314, 50914, 51426, 50813, 51375, 50862, 53623, 51161, 58274, 59047, 51426, 50813, 51375, 53901, 52016, 50983, 57391, 51189, 51251, 50813, 51375, 54215, 51251, 50813, 51375, 53894, 51251, 50813, 51375, 54247, 54064, 50795, 60152, 50849, 51251, 50813, 51375, 53938, 52606, 50807, 75314, 50914, 67274, 51165, 50813, 52776, 51161, 55030, 76621, 67274, 51165, 50813, 50462, 52016, 50795, 57391, 50849, 67274, 51165, 50813, 50468, 52233, 50795, 57049, 50849, 67274, 51165, 50813, 50474, 52016, 50807, 57391, 50914, 67274, 51165, 50813, 50480, 67274, 51165, 50813, 54838, 55464, 51036, 60618, 51307, 52776, 51161, 51088, 51161, 51093, 51161, 52682, 51142, 52064, 51142, 53398, 57944, 52682, 51142, 52064, 64147, 52682, 51142, 52064, 65743, 52776, 51161, 51088, 51161, 51165, 51161, 52682, 51142, 52813, 51142, 55030, 51161, 50462, 54064, 50795, 60152, 50849, 52682, 51142, 52813, 51142, 50468, 52233, 50795, 57049, 50849, 50474, 52016, 50795, 57391, 50849, 52682, 51142, 52813, 51142, 50480, 52016, 51036, 57391, 51307, 54838, 52776, 51161, 51088, 51161, 51093, 51161, 52682, 51142, 52064, 51142, 53398, 57944, 52682, 51142, 52064, 64147, 52682, 51142, 52064, 65743, 53623, 51161, 51375, 51161, 77215, 54313, 51142, 52064, 51142, 53398, 51036, 50462, 54064, 50795, 60152, 50849, 54313, 51142, 52064, 51142, 50468, 52233, 50795 ]

[ 0, 250, 3495, 1619, 2214, 19, 15855, 16882, 6, 4246, 21979, 8, 3459, 29589, 6, 769, 196, 6757, 6, 21072, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 19448, 8, 5679, 26709, 5466, 19, 10, 11602, 9, 657, 6, 25, 5, 33215, 16739, 9, 83, 6, 211, 6, 272, 119, 406, 6, 230, 6, 8, 163, 37152, 30853, 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 ]

[ 57739, 50796, 60938, 51446, 51207, 51627, 50415, 51389, 53174, 50426, 51246, 51159, 50427, 51064, 51177, 50960, 51080, 51067, 51145, 50929, 52212, 50438, 51078, 51446, 52028, 51627, 50450, 53262, 51014, 50960, 51309, 51246, 51124, 51064, 51312, 50451, 50929, 52482, 51067, 51423, 66269, 52282, 50970, 51413, 51504, 51535, 50425, 51246, 68106, 50929, 53892, 50960, 51484, 51064, 51380, 50427, 51067, 51148, 50434, 50998, 54114, 50998, 51343, 51574, 51448, 50450, 51930, 50802, 51246, 50849, 50960, 51753, 51064, 51212, 51067, 51328, 69683, 51238, 51444, 51576, 50415, 51098, 51184, 50424, 51136, 51400, 50425, 50929, 51203, 52562, 51738, 50426, 51207, 51775, 50427, 50960, 51043, 51067, 51124, 50436, 51136, 51295, 50437, 51207, 51380, 50929, 51267, 52562, 51477, 50438, 51032, 51162, 50439, 50986, 51025, 50449, 51246, 54356, 51064, 76888, 50960, 51356, 56950, 53435, 51444, 66527, 50986, 50982, 51078, 51109, 51131, 51283, 50960, 51103, 50947, 51145, 50427, 51078, 51703, 50438, 51444, 51351, 50960, 51343, 50446, 51131, 51645, 51078, 79771, 50960, 60521, 71250, 51078, 51008, 61108, 51477, 50960, 51472, 53552, 57610, 51098, 51009, 52086, 59492, 50960, 51447, 50929, 51145, 51311, 51103, 51076, 51080, 51190, 51502, 57776, 52086, 68875, 51389, 51016, 51444, 51477, 51311, 51477, 58805, 56385, 66003, 51311, 50978, 50960, 51824, 69695, 51190, 51502, 62767, 51076, 52179, 50457, 51668, 50952, 53788, 51496, 51136, 51551, 51725, 52069, 60524, 57550, 52914, 58299, 51246, 56615, 51136, 51480, 50929, 51448, 51287, 51502, 60854, 50929, 51703, 51032, 51080, 50437, 51246, 76810, 50986, 51391, 52077, 50918, 51479, 57270, 51098, 63399, 51136, 50959, 65423, 51136, 50977, 50929, 51470, 55389, 58517, 51032, 51269, 50458, 51098, 50809, 58700, 51351, 50970, 52195, 51855, 50807, 51842, 50415, 51140, 60288, 61396, 52086, 52910, 50986, 51703, 50970, 51244, 50947, 51314, 50947, 52147, 51067, 52147, 51287, 51502, 71150, 51855, 52424, 51150, 51016, 50986, 51134, 51725, 51294, 64547, 61925, 76979, 52753, 63419, 50986, 51824, 50970, 50987, 50947, 51254, 55389, 57136, 51140, 51066, 50947, 51470, 56098, 52827, 51207, 51115, 51246, 51477, 51813, 50807, 52453, 58115, 50998, 51346, 50426, 51317, 51177, 50929, 51277, 52077, 50807, 55389, 59619, 51064, 52192, 65026, 51316, 65298, 51136, 60002, 51846, 51004, 50960, 51129, 50970, 51258, 50434, 51131, 51258, 51078, 52445, 50435, 51136, 51693, 50929, 78407, 50436, 51246, 51693, 50998, 64235, 51868, 51009, 51246, 51283, 52655, 50807, 60524, 59901, 51207, 77069, 51317, 50937, 50998, 51058, 50998, 50987, 50929, 51470, 52077, 50807, 55389, 57136, 51064, 51470, 50461, 51855, 50918, 56950, 51362, 51131, 51283, 51444, 51397, 53552, 59045, 51131, 77008, 51078, 50972, 50960, 51212, 50960, 51121, 55389, 56680, 51078, 51079, 51067, 51432, 50434, 51389, 54181, 51868, 51072, 51246, 51283, 51813, 50807, 65634, 59901, 51207, 51381, 50446, 51317, 51221, 50998, 51255, 50449, 52077, 52728, 51868, 50896, 50998, 50978, 70225, 51190, 51502, 60376, 51064, 51006, 51316, 51006, 56950, 51090, 51444, 51351, 51131, 51244, 51855, 51161, 58805, 53516, 74175, 51131, 51965, 50960, 51218, 51287, 51502, 60854, 51389, 51055, 51078, 51749, 51078, 51447, 51067, 51703, 50438, 51131, 51542, 52012, 51351, 52321, 57972, 51493, 51072, 50445, 51131, 51534, 50446, 50960, 67081, 51705, 51066, 51078, 51051, 50960, 50924, 51078, 50866, 51927, 51502, 59363, 52086, 51291, 53458, 51059, 51207, 51318, 50960, 51336, 58805, 53855, 50929, 51749, 51311, 51127, 50960, 51080, 63474, 59619, 50929, 51703, 51076, 51447, 50434, 51098, 50921, 50437, 51444, 51310, 52086, 68875, 51389, 51059, 51311, 51283, 58805, 61587, 50960, 53996, 51076, 52731, 51311, 50849, 69947, 60384, 51927, 51502, 74890, 51668, 50952, 53788, 52097, 51136, 50918, 51725, 51945, 52455, 59045, 51246, 55574, 52914, 58299, 51136, 51312, 50929, 51314, 50929, 51145, 51032, 51314, 51287, 51502, 54968, 51098, 51059, 50986, 51542, 51246, 51115, 52077, 50918, 52453, 52802, 51136, 51051, 51136, 50905, 50929, 51166, 55389, 59528, 51032, 50851, 50929, 75574, 51098, 50962, 58700, 51391, 50986, 51592, 51855, 51048, 65634, 57056, 51140, 51059, 50425, 50986, 52212, 52086, 52910, 50970, 51380, 50970, 51145, 50947, 51490, 55389, 58245, 50947, 51709, 51067, 51703, 50434, 51140, 51138, 50437, 51855, 52424, 51150, 50896, 50970, 51573, 51725, 51189, 52166, 52772, 77211, 50947, 51365, 50986, 51824, 52753, 50807, 52029, 51502, 56721, 51140, 50993, 50947, 51524, 76979, 56098, 51029, 51246, 51637, 51207, 51310, 51813, 50807, 52455, 58964, 52077, 52910, 65026, 50998, 51481, 51064, 52063, 51317, 51337, 55389, 58245, 51316, 50974, 50929, 51277, 50433, 51846, 51129, 51136, 51258, 50434, 51493, 78542, 51258, 50960, 51306, 50960, 51258, 51136, 51306, 51076, 51306, 51032, 78592, 51246, 51693, 50436, 50998, 58930, 51868, 51059, 51207, 51283, 51246, 51318, 52655, 50807, 63237, 55254, 51317, 50978, 78125, 60419, 52077, 50807, 51287, 51502, 56721, 51316, 52167, 50998, 50978, 51064, 51058, 50458, 51868, 50833, 56950, 51059, 51131, 51283, 51444, 51318, 51855, 50918, 52166, 58646, 50960, 52688, 51078, 51058, 51131, 51432, 50960, 51177, 66358, 59741, 51078, 51079, 51067, 51074, 50434, 51389, 60831, 51813, 69203, 51868, 50824, 51207, 51637, 51246, 51637, 64547, 57000, 51317, 51534, 50998, 51255, 51855, 59323, 51868, 51290, 67765, 51064, 51376, 74963, 51927, 51502, 56721, 51316, 51058, 50454, 52077, 50967, 50455, 50986, 51258, 56950, 50896, 51444, 51310, 51131, 51080, 51855, 51358, 60524, 52905, 51389, 51016, 50960, 51380, 51131, 51965, 51078, 51637, 50960, 51358, 55389, 59619, 51078, 51314, 51067, 51447, 50438, 52012, 51241, 51131, 51381, 51897, 57972, 51493, 51066, 50446, 51131, 51852, 50960, 74047, 51705, 50975, 51078, 51008, 51078, 51174, 52086, 50967, 55389, 57136, 51067, 51376, 53458, 51059, 55978, 54373, 56007, 54270, 55114, 51314, 52120, 57030, 50929, 51141, 51207, 51627, 52908, 50991, 50422, 52561, 59204, 51064, 51642, 51246, 51267, 50960, 51447, 52029, 51502, 56973, 51067, 51080, 50431, 52086, 50991, 50434, 51150, 51566, 63423, 51078, 51446, 52028, 51749, 51897, 58159, 52908, 50967, 59502, 51244, 50446, 51793, 51290, 52561, 58647, 51246, 51095, 50960, 51797, 51064, 51199, 55347, 57399, 51067, 51642, 50454, 52086, 50991, 50458, 51389, 50844, 53458, 51059, 50970, 51056, 53725, 50807, 63101, 58410, 51504, 51535, 54717, 78042, 50970, 51423, 50960, 51852, 51246, 51377, 55389, 58815, 51064, 51380, 51067, 51244, 52908, 50983, 50434, 51150, 51290, 66290, 50998, 51157, 51574, 51749, 58165, 51183, 52321, 57728, 51793, 56812, 51246, 50925, 50960, 51365, 50998, 51254, 66358, 57399, 51064, 51058, 51067, 77381, 51389, 50834, 54204, 51932, 51930, 50982, 53271, 51945, 55172, 51445, 54717, 52988, 65634, 58842, 51389, 51258, 50960, 70599, 52086, 51631, 51522, 51072, 51846, 52996, 50970, 51199, 50960, 51047, 50970, 52212, 52914, 50977, 51190, 51502, 56973, 51064, 51148, 50432, 52086, 74891, 51970, 57280, 51066, 51504, 51310, 63101, 64916, 50960, 51364, 52914, 51400, 50449, 52077, 68390, 51140, 50975, 51846, 51824, 51169, 51006, 65813, 51715, 51502, 65134, 50970, 51824, 51064, 51006, 60653, 51227, 52562, 51310, 52077, 51605, 60252, 52727, 63017, 51293, 55114, 51671, 52453, 56075 ]

[ 0, 250, 33928, 8, 15352, 30054, 5175, 1349, 4246, 26432, 636, 3938, 22052, 6, 21072, 6, 3459, 9590, 6, 449, 337, 757, 3178, 6, 8, 18558, 10, 25118, 6, 2351, 10, 1313, 8, 2365, 16464, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 10, 20902, 27841, 139, 20889, 6, 22690, 10, 33215, 13931, 9, 211, 406, 6, 272, 401, 6, 211, 119, 406, 6, 8, 272, 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 ]

[ 67004, 50438, 58588, 51795, 51096, 51795, 50801, 50824, 52356, 51184, 52591, 52837, 50803, 54195, 50803, 59423, 50803, 74211, 50803, 55561, 50803, 52730, 50803, 54843, 53972, 62643, 52798, 50803, 54115, 50803, 61439, 50803, 50759, 50326, 50803, 55745, 50803, 52544, 50803, 54326, 51973, 52978, 50823, 52837, 50823, 54827, 50823, 59423, 50823, 57457, 50823, 52107, 50823, 52730, 52466, 54684, 52803, 50823, 52798, 50823, 60311, 50823, 61439, 50823, 57533, 50823, 52253, 50823, 52544, 50823, 50927, 63783, 55276, 54033, 51300, 52978, 51009, 57790, 51300, 54827, 51009, 61018, 51009, 52197, 51300, 52107, 56681, 50860, 52129, 54554, 50798, 60406, 50993, 51068, 64322, 50993, 50799, 52355, 50802, 51584, 65285, 54774, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 54774, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 73410, 50802, 51612, 51072, 50945, 54774, 54328, 56111, 52285, 50795, 60311, 50823, 61439, 55075, 54328, 54675, 51900, 50824, 51612, 55940, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 51784, 50824, 51567, 76317, 54774, 54328, 56059, 54148, 50811, 54116, 52702, 61443, 52978, 50811, 52837, 52768, 52803, 50823, 52798, 52865, 54328, 55273, 54033, 50823, 52978, 52865, 54328, 65836, 62890, 50799, 52355, 50802, 51584, 65285, 54774, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 54774, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 50799, 52278, 50802, 51555, 65285, 61940, 54328, 56111, 52355, 50802, 51584, 50802, 60311, 50823, 61439, 55075, 54328, 54675, 52278, 50802, 51555, 53025, 54684, 52714, 50823, 51783, 50823, 54195, 50823, 50945, 54972, 55276, 52714, 50824, 51783, 50824, 65722, 50823, 51096, 52590, 54328, 56059, 54195, 50823, 50964, 63304, 54554, 59535, 50823, 50927, 51812, 54328, 50860, 51206, 52325, 54195, 50823, 51720, 53025, 50860, 50799, 52355, 50802, 51584, 65285, 61940, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 61940, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 73410, 50802, 51612, 51072, 50945, 61940, 54328, 56111, 52285, 50795, 60311, 50823, 61439, 55075, 54328, 54675, 51900, 50824, 51612, 55940, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 51784, 50824, 51567, 76317, 61940, 54328, 56059, 54116, 50811, 69107, 52702, 61443, 52837, 50811, 59535, 52768, 52798, 50823, 54195, 52865, 54328, 55273, 52978, 50823, 54116, 52865, 54972, 65836, 62890, 50799, 52355, 50802, 51584, 65285, 61940, 54328, 56111, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 55075, 54328, 54675, 51784, 51072, 51567, 51072, 50843, 54684, 60311, 50823, 61439, 50823, 50945, 54972, 55276, 52355, 50802, 51584, 65285, 61940, 54328, 56059, 51784, 50823, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51784, 51072, 51567, 61512, 54328, 55273, 50843, 65836, 62890, 50799, 52278, 50802, 51555, 65285, 61940, 54328, 56111, 52355, 50802, 51584, 50802, 60311, 50823, 61439, 55075, 54328, 54675, 52278, 50802, 51555, 53025, 54684, 52714, 50823, 51783, 50823, 54195, 50823, 50945, 54972, 55276, 52714, 50824, 51783, 50824, 65722, 50823, 50945, 61940, 54328, 56059, 54195, 54328, 54554, 59535, 52865, 54328, 55273, 54195, 54328, 65836, 62890, 51755, 52466, 54286, 56111, 50816, 60061, 57996, 54675, 50856, 54684, 50856, 55276, 50816, 60061, 57996, 56059, 50856, 50860, 51899, 60061, 57996, 55273, 50816, 64595, 60061, 57996, 50860, 50799, 52714, 50993, 51584, 65285, 51029, 50843, 74947, 50801, 55573, 51567, 50823, 60311, 50823, 61439, 54328, 54675, 52714, 50824, 51567, 61512, 54328, 54684, 60311, 50823, 61439, 50823, 50964, 63304, 55276, 52355, 50824, 51584, 65285, 59110, 54328, 56059, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51567, 61512, 54328, 55273, 52278, 62455, 55940, 50860, 50799, 51612, 69277, 54328, 56111, 52355, 50802, 60311, 50823, 61439, 50823, 51011, 53025, 54675, 52278, 50802, 51612, 62455, 51812, 54328, 54684, 52714, 50802, 60311, 50823, 61439, 50823, 50964, 63304, 55276, 52355, 50824, 51567, 76317, 59110, 54328, 56059, 54148, 50811, 54116, 52702, 61443, 52978, 50811, 52837, 52768, 52803, 50823, 52798, 52865, 54328, 55273, 54033, 50823, 52978, 50823, 50964, 53025, 50860, 50799, 51584, 65285, 59110, 54328, 56111, 52714, 50993, 51567, 50823, 60311, 50823, 61439, 54328, 54675, 51567, 61512, 54328, 54684, 52714, 50823, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50993, 51584, 65285, 59110, 54328, 56059, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 52355, 50823, 51567, 61512, 54328, 55273, 52278, 62455, 55940, 50860, 50799, 51555, 51812, 60061, 54972, 56111, 52355, 50976, 51584, 50802, 60311, 50823, 61439, 50823, 52018, 51812, 60061, 54972, 54675, 52278, 50802, 51555, 50802, 64505, 54328, 54684, 52714, 50823, 51783, 50823, 54195, 50823, 50927, 52590, 54328, 55276, 52714, 51066, 51783, 50824, 65722, 50823, 50945, 59110, 54328, 56059, 54195, 54328, 54554, 59535, 52865, 54328, 55273, 54195, 50823, 50964, 53025, 50860, 50799, 52714, 50993, 51584, 65285, 59110, 54328, 56111, 51567, 50823, 60311, 50823, 61439, 54328, 54675, 52714, 50824, 51567, 61512, 54328, 54684, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50824, 51584, 65285, 59110, 54328, 56059, 51567, 50823, 60311, 50823, 61439, 54328, 54554, 51567, 61512, 54328, 55273, 52278, 62455, 55940, 50860, 50799, 51612, 69277, 54328, 56111, 52355, 50802, 60311, 50823, 61439, 50823, 51011, 53025, 54675, 52278, 50802, 51612, 62455, 51812, 54328, 54684, 52714, 50802, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50824, 51567, 76317, 54774, 54328, 56059, 54148, 50811, 54116, 52702, 61443, 52978, 50811, 52837, 52768, 52803, 50823, 52798, 52865, 54328, 55273, 54033, 50823, 52978, 54328, 50860, 52354, 61940, 54328, 56111, 52714, 50993, 51783, 50993, 60311, 50823, 61439, 54328, 50860, 51302, 54328, 54684, 52714, 50860, 51783, 50860, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50993, 51584, 50993, 50945, 59110, 54328, 56059, 60311, 50823, 61439, 54328, 54554, 52355, 50823, 51584, 52865, 54328, 55273, 52355, 50860, 51584, 66507, 52354, 61940, 54328, 56111, 52714, 50993, 51783, 50993, 60311, 50823, 61439, 54328, 50860, 51302, 54328, 54684, 52714, 50860, 51783, 50860, 60311, 50823, 61439, 50823, 50964, 53025, 55276, 52355, 50993, 51584, 50993, 50945, 59110, 54328, 56059, 60311, 50823, 61439, 54328, 54554, 52355, 50823, 51584, 52865, 54328, 55273, 52355, 50860, 51584, 66507, 52354, 61940, 52466, 54286, 56111, 52714, 50993, 51783, 50993, 60311, 50823, 61439, 54886, 60061, 57996, 54675, 50856, 54684, 52714, 50860, 51783, 50860 ]

[ 0, 250, 765, 37903, 9, 15352, 30054, 11057, 930, 11, 230, 3694, 6, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 274, 406, 73, 250, 7, 230, 119, 406, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 6, 7630, 14805, 10, 19448, 8, 25306, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50906, 67118, 50859, 50968, 55512, 51242, 50876, 51388, 51028, 51121, 50951, 50976, 50999, 50975, 51315, 51806, 50906, 51735, 51050, 51029, 50416, 50973, 50952, 50418, 51001, 72626, 50973, 50817, 50951, 50818, 56245, 50931, 65023, 51147, 50834, 63009, 60003, 51405, 50858, 51081, 50955, 51147, 50976, 50931, 51312, 51081, 77877, 50915, 50425, 50956, 65335, 72475, 50817, 50951, 50884, 51050, 52059, 50906, 53765, 50916, 77641, 72020, 63835, 50940, 50876, 61537, 52104, 50324, 51644, 50333, 51936, 50292, 56120, 50951, 51121, 50931, 51178, 50931, 51183, 73343, 57069, 51514, 50331, 50976, 50871, 51091, 50428, 50973, 50938, 50430, 50968, 50870, 61673, 50431, 50997, 58898, 50433, 50876, 50828, 51050, 52015, 50434, 51085, 52231, 51220, 50859, 51050, 51423, 50931, 51253, 51787, 67800, 51059, 50435, 51114, 61562, 50931, 69862, 60246, 55965, 50906, 50883, 50951, 52640, 50320, 61895, 50942, 76600, 74873, 51147, 51116, 50951, 51290, 50439, 51147, 65066, 50806, 51339, 51158, 50442, 60989, 50445, 50965, 50975, 50931, 51191, 50446, 58219, 51405, 50823, 51050, 74553, 66002, 52128, 50967, 50931, 51380, 50931, 63758, 62873, 50956, 50942, 64940, 50916, 51328, 51220, 50976, 50997, 51109, 51147, 53751, 50321, 51059, 50453, 50965, 74362, 67666, 51814, 66656, 58893, 51339, 50812, 51001, 52035, 50324, 51054, 50458, 50899, 78858, 71584, 51001, 51066, 56229, 52035, 50336, 51221, 51050, 51709, 50906, 51735, 50415, 59257, 51147, 78906, 50951, 78943, 50861, 77793, 50893, 50422, 50931, 51045, 50999, 53936, 50333, 51500, 50425, 51050, 50907, 50871, 67316, 56519, 75660, 73343, 51091, 50433, 51339, 51029, 50956, 51661, 50876, 51009, 51050, 51103, 50434, 51081, 51072, 50445, 51147, 56505, 50931, 51012, 50457, 51147, 50860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 14899, 3495, 2214, 6, 30291, 19, 3152, 4785, 6, 22750, 1626, 11098, 8, 12298, 9450, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 3185, 30, 5, 20425, 3222, 5785, 9, 3459, 9590, 6, 21979, 8669, 6, 21072, 6, 3551, 139, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 15352, 30054, 15229, 1575, 10, 33215, 16739, 9, 230, 6, 272, 6, 274, 6, 274, 119, 406, 6, 8, 274, 401, 6, 1271, 7, 63, 33558, 8, 2365, 12, 6928, 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 ]

[ 58402, 50796, 50433, 50804, 50817, 52594, 57784, 50804, 58772, 50804, 52911, 54358, 62904, 50824, 69108, 50824, 57048, 50811, 57857, 50837, 55350, 56628, 50945, 51541, 55769, 51483, 51288, 51483, 63496, 51483, 62114, 51047, 66206, 51145, 51976, 69764, 53611, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50419, 55851, 50893, 51634, 50893, 59019, 56763, 54540, 52441, 67991, 50424, 59885, 50937, 52341, 50937, 57587, 50937, 51768, 56823, 64231, 56919, 50856, 50962, 59493, 76000, 55851, 52827, 51634, 52827, 59019, 52827, 50432, 59775, 51142, 67991, 51164, 50878, 50433, 50945, 57626, 51133, 51047, 59089, 51145, 51976, 53540, 50800, 51332, 51419, 50885, 51417, 50868, 51417, 50847, 51417, 50440, 50964, 74601, 52018, 52441, 52029, 52080, 51955, 54092, 54736, 64231, 51740, 72091, 56478, 55037, 54540, 51142, 50964, 60777, 59661, 51024, 57793, 50851, 51332, 74651, 54512, 50936, 52563, 51090, 50684, 50318, 51391, 54393, 51714, 60627, 56932, 51449, 50939, 51359, 51007, 51295, 51257, 74905, 59775, 51283, 67991, 54512, 51030, 50425, 51011, 67566, 62966, 51749, 50804, 56658, 56823, 64231, 50800, 53880, 50894, 80211, 56257, 50684, 50318, 51145, 78701, 55921, 51010, 50909, 51623, 53880, 59894, 51186, 51388, 60627, 50800, 53628, 59357, 59775, 51097, 67991, 52394, 51054, 59885, 51603, 52341, 51603, 57587, 51603, 50445, 51133, 75500, 62966, 76258, 56606, 67854, 56823, 64231, 51754, 50856, 57888, 76840, 59885, 51072, 52341, 51072, 57587, 51072, 50457, 70432, 62114, 51047, 66206, 51145, 60627, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50415, 50945, 51573, 50418, 55851, 50865, 51634, 50865, 59019, 56202, 54540, 52441, 67991, 50424, 55769, 50879, 51288, 50879, 63496, 50879, 51302, 61151, 60764, 56823, 64231, 58812, 50856, 51010, 55851, 51362, 51634, 51362, 59019, 51362, 50432, 59775, 51142, 66586, 67991, 51164, 55467, 50964, 51745, 59089, 51318, 51133, 51148, 60627, 51820, 52018, 51283, 67991, 50885, 51484, 50868, 51484, 76963, 50449, 50856, 56106, 57887, 54540, 61737, 56823, 64231, 58740, 61499, 50856, 51010, 56478, 57973, 59089, 51058, 67991, 63062, 70687, 66177, 50799, 50684, 50318, 51253, 50953, 51054, 54393, 51353, 60627, 56932, 51359, 50939, 51353, 50909, 51241, 51257, 51353, 54512, 55492, 59775, 51714, 67991, 54512, 51033, 50425, 51011, 51090, 53212, 51259, 57480, 62966, 52431, 50903, 56823, 64231, 50800, 53880, 64058, 50856, 56257, 66322, 51309, 67991, 51007, 51742, 53880, 62591, 51186, 51354, 60627, 50800, 53628, 60224, 51133, 50911, 50684, 50318, 51419, 67991, 52394, 51072, 51382, 61151, 62746, 56823, 64231, 58740, 54358, 50893, 65459, 69108, 55764, 65059, 50856, 57888, 76840, 50461, 55769, 50805, 59793, 63496, 50805, 52354, 51745, 51720, 51145, 58374, 51148, 60627, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50419, 55851, 50849, 51634, 50849, 59019, 55099, 54540, 52136, 51230, 52080, 50425, 59885, 50849, 52341, 50849, 57587, 53466, 50856, 67854, 56823, 64231, 51907, 72149, 50945, 56087, 59775, 78263, 51010, 67991, 51164, 50878, 55851, 51541, 51634, 51541, 59019, 51541, 50437, 50964, 51573, 67465, 51047, 59089, 51145, 60627, 50800, 51332, 51419, 50885, 51417, 50868, 51417, 50847, 51417, 50444, 52018, 52441, 67991, 51955, 56823, 51373, 51740, 57793, 51907, 51010, 50455, 61207, 56478, 51754, 54540, 51142, 50856, 51010, 67991, 51332, 74651, 50953, 51090, 50799, 50684, 50318, 51253, 54393, 51353, 60627, 56932, 51449, 50939, 51359, 51007, 51295, 51257, 51353, 54512, 72207, 59775, 51714, 67991, 54512, 50940, 50425, 51011, 53765, 62966, 52431, 50856, 56606, 67854, 56823, 64231, 50800, 53880, 72303, 50856, 55736, 66322, 51309, 67991, 50909, 51623, 53880, 59826, 51186, 51286, 60627, 50800, 53628, 50911, 50443, 59885, 51388, 52341, 51388, 57587, 51388, 50444, 51133, 51379, 50684, 50318, 51419, 67991, 52394, 51454, 51382, 61151, 67854, 56823, 64231, 58740, 59885, 51603, 52341, 51603, 57587, 51603, 50456, 61499, 50856, 55461, 76840, 52354, 51541, 51720, 51145, 58374, 51148, 60627, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50418, 57440, 50879, 51622, 50879, 57120, 56179, 54540, 52136, 51230, 52080, 50424, 55851, 50938, 51634, 50938, 59019, 50938, 75457, 50890, 51768, 54092, 61474, 64231, 58812, 50856, 50930, 57440, 51013, 51622, 51013, 57120, 64919, 59775, 51210, 68171, 67991, 51164, 55467, 50964, 51573, 59089, 51318, 51133, 51148, 60627, 55923, 51145, 50868, 51145, 50847, 51145, 50443, 55851, 51294, 51634, 51294, 59019, 51294, 50444, 52018, 51283, 67991, 50450, 54540, 51003, 53212, 51698, 56823, 51373, 51740, 57148, 58740, 50964, 55764, 59089, 51058, 67775, 57793, 50851, 56478, 50925, 52563, 50806, 66322, 51363, 54393, 51151, 60627, 56932, 51359, 50939, 51353, 50909, 51241, 51257, 51353, 54512, 58808, 50953, 51074, 50684, 50321, 51448, 51553, 59318, 50421, 54512, 61001, 70701, 62966, 52528, 51068, 71453, 53611, 51740, 54332, 50962, 53880, 50940, 57773, 55286, 66322, 51295, 52234, 55801, 53869, 55921, 50930, 51007, 51742, 53880, 59646, 51186, 78992, 56234, 53187, 53189, 50800, 53628, 59591, 59775, 51295, 51289, 53255, 66990, 52394, 51054, 50445, 51133, 56160, 50684, 50321, 51159, 50856, 62949, 67614, 53611, 51907, 50930, 57688, 54663, 58623, 52095, 52054, 65936, 54358, 51310, 51211, 51310, 69108, 51310, 52354, 51573, 51720, 51047, 66206, 51145, 51976, 69764, 53611, 60860, 51419, 50885, 51417, 50872, 51417, 50850, 51417, 50420, 54540, 52441, 67991, 52338, 50879, 50425, 55769, 51714, 51288, 51714, 63496, 51714, 51768, 56823, 64231, 50800, 52665, 50940, 57773, 56629, 59775, 51142, 63042, 67991, 51164, 50878, 51946, 50887, 52196, 50924, 56107, 51541, 59089, 51318, 51133, 51148, 51976, 53540, 55923, 51679, 50868, 51679, 50847, 51679, 52196, 50828, 51946, 72758, 52018, 51283, 52029, 52080, 50450, 54540, 61737, 56823, 64231, 57465, 50804, 56354, 59089, 51058, 50964, 56795, 76840, 69047, 73483, 64059, 51996, 50940, 56478, 51008, 52563, 51030, 66322, 51363, 54393, 51151, 51976, 54853, 56932, 51359, 50939, 51353, 50909, 51241, 51257, 51353, 51946, 51045, 54512, 75832, 70802, 50684, 50321, 51448, 51230, 52080, 51946, 51021, 54512, 50921, 55851, 50918, 51634, 50918, 59019, 50918, 50425, 53880, 61177, 51011, 51016, 62966, 52528, 50903, 56823, 64231, 50800, 51996, 51870, 57773, 58221, 53880, 57943, 66322, 51295, 51190, 52080, 51007, 51742, 50437, 53628, 57626, 51186, 51286, 60627, 60459, 55769, 51227, 51288, 51227, 63496, 76264, 51133, 51192, 59775, 51295, 51340, 52080, 52394, 61860, 50684, 50321, 71547, 56823, 64231, 57465, 50804, 62172, 55851, 51173, 51634, 51173, 59019, 65651, 61207, 73517, 59318, 50461, 55769, 51446, 51288, 51446, 63496, 51446, 52354, 51090, 51720, 51145, 58374, 51148, 60627, 51835, 54540, 52136, 51230, 52080, 50885, 51484, 50872, 51484, 50850, 51484, 52338, 50806, 50425, 52665, 51158, 51768, 56823, 64231, 56919, 50804, 72149, 51996, 59099, 59775, 51210, 50945, 56285, 59318, 63062, 66181, 68059, 50437, 51946, 51030, 56107, 51573, 59089, 51318, 51133, 51148, 60627, 50800, 51332, 51419, 50885, 51417, 50868, 51417, 50847, 51417, 50444, 52018, 51283, 67991, 51996, 63758, 54540, 61737, 56823, 64231, 57465, 50804, 51010, 50455, 50964, 51923, 59089, 51058, 67991, 51332, 50878, 56478, 50936, 50457, 51996, 52512 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 8, 15855, 24904, 2125, 6, 42, 2214, 1931, 21683, 10, 12298, 1619, 4780, 150, 67, 3406, 33558, 223, 34693, 4, 20, 6755, 12547, 6, 20535, 2810, 6, 2342, 4467, 6, 32909, 6, 8, 2724, 368, 31365, 25999, 283, 561, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 6780, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 5, 15229, 30853, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 2060, 12361, 6, 163, 43531, 6, 230, 10431, 119, 401, 6, 2060, 73, 347, 6, 8, 163, 119, 401, 3639, 10, 2216, 46336, 12117, 7, 42, 17627, 17274, 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 ]

[ 54458, 78855, 60881, 50975, 51206, 62714, 52436, 50886, 57389, 51000, 51485, 50839, 51509, 50841, 52336, 50839, 54809, 50813, 51198, 50855, 51144, 50855, 51308, 54345, 54381, 52436, 50886, 57389, 50982, 51509, 50820, 52336, 50813, 51485, 50834, 54809, 50855, 51144, 50855, 51198, 50841, 51308, 54131, 58099, 54809, 52654, 52436, 50844, 57389, 50971, 51485, 50813, 51509, 50813, 52336, 50813, 51144, 50855, 51308, 50833, 51198, 54345, 52726, 52436, 50812, 57389, 50904, 51509, 50857, 52336, 50813, 51485, 50857, 54809, 50833, 74386, 51198, 50855, 51308, 54172, 52952, 52436, 50854, 57389, 50857, 51485, 50862, 51509, 50855, 52336, 50862, 54809, 50833, 51198, 50833, 74386, 51308, 53632, 53451, 52940, 52436, 50925, 57389, 50886, 51485, 50857, 51509, 50857, 52336, 50813, 54809, 50833, 52576, 50878, 51198, 50855, 51144, 50855, 51308, 54345, 52768, 52380, 50878, 61090, 50864, 51641, 50813, 51579, 50813, 52629, 50813, 55830, 50833, 52576, 50810, 51561, 50855, 64874, 51153, 53303, 51812, 52884, 53979, 50910, 66627, 50857, 51744, 50855, 51579, 50836, 55078, 50812, 54120, 50833, 52576, 50878, 64148, 58444, 51777, 54172, 50803, 50799, 52833, 50942, 64008, 50874, 52264, 50878, 53124, 50865, 52576, 50866, 51275, 50937, 51144, 50925, 51512, 50925, 51308, 57564, 51812, 59177, 50889, 50415, 51509, 50878, 53954, 58382, 51088, 50991, 51395, 51235, 51963, 51112, 52099, 51227, 52343, 51109, 51099, 51221, 51639, 51221, 50438, 51375, 51238, 51395, 51238, 52489, 51227, 52099, 51235, 51632, 51025, 51512, 51221, 51639, 65504, 51165, 50991, 51395, 50967, 51906, 51460, 52099, 51167, 51598, 51025, 51308, 51178, 51639, 51178, 50461, 51395, 51241, 66325, 51191, 51683, 51294, 52099, 51091, 52426, 59486, 50860, 51782, 52054, 51538, 50420, 64862, 51561, 50833, 51512, 52873, 53548, 52343, 58610, 57555, 52559, 51093, 50813, 51375, 50862, 52489, 50887, 51683, 50808, 51561, 50855, 51512, 50855, 51153, 52873, 53813, 51375, 51803, 51093, 51742, 52489, 51623, 51683, 51358, 52426, 51203, 57946, 54400, 51561, 50855, 59632, 51512, 52873, 52741, 52343, 70306, 53451, 52715, 54166, 51512, 50855, 59632, 51561, 52873, 50808, 76310, 70306, 52715, 54507, 51561, 50855, 59632, 51512, 52873, 59066, 51093, 60823, 51395, 51112, 51683, 51290, 52099, 51238, 52343, 70306, 53451, 52715, 52559, 51512, 50855, 59632, 51561, 52873, 61055, 51107, 56389, 51165, 51157, 51906, 51238, 51648, 51157, 52426, 70306, 52715, 52711, 51512, 50855, 59632, 51561, 52873, 63771, 51093, 69785, 51375, 51124, 52489, 50991, 51683, 51346, 52426, 70306, 53451, 51805, 54166, 51512, 50855, 51561, 50855, 51153, 54845, 50808, 63441, 51353, 51165, 51359, 51963, 53363, 51906, 53363, 52576, 70306, 52715, 52734, 58444, 51308, 50855, 51561, 52873, 53548, 52343, 70306, 52865, 52715, 53810, 51561, 50855, 58444, 51308, 52873, 52599, 51507, 58610, 52715, 54400, 58444, 51308, 50855, 51561, 52873, 52741, 51704, 59486, 53451, 51805, 54166, 58444, 51308, 50855, 51561, 52873, 50808, 64846, 61525, 52715, 52734, 51561, 50855, 51308, 50833, 51099, 52873, 63790, 51165, 51345, 50426, 51088, 51124, 51963, 50980, 51906, 51566, 52237, 58610, 51812, 51805, 52559, 51308, 50855, 51639, 50833, 51099, 52873, 53813, 51088, 50967, 51395, 51238, 51963, 51167, 52099, 51460, 51598, 70306, 52715, 54400, 51639, 50855, 58444, 51308, 52873, 52741, 51165, 51238, 51182, 51238, 51906, 51227, 51776, 51235, 52343, 70306, 53451, 51805, 52643, 51308, 50833, 51639, 50833, 51099, 54845, 50840, 66325, 50889, 51629, 51294, 51683, 51016, 52747, 51362, 52237, 51043, 57946, 52734, 51308, 50855, 51275, 50833, 51512, 52873, 53548, 51632, 70306, 53451, 51805, 59955, 51375, 51941, 51201, 52605, 51713, 50808, 52489, 50821, 51512, 50855, 51308, 50855, 51275, 52873, 53813, 51107, 51358, 52489, 51896, 51648, 51358, 52576, 70306, 52715, 54400, 51308, 50855, 51275, 50855, 51512, 52873, 53688, 51632, 70306, 53451, 51805, 54166, 51512, 50855, 51275, 50833, 51308, 52873, 50840, 64846, 54035, 52715, 54507, 51308, 50855, 51275, 50855, 51512, 52873, 53548, 51375, 51116, 51165, 51345, 52489, 51175, 51906, 51460, 52237, 58610, 53451, 52715, 53810, 51512, 50855, 51308, 50855, 51275, 52873, 53813, 51375, 51238, 51093, 51157, 52489, 51235, 51683, 51112, 51632, 67567, 52715, 54400, 51512, 50833, 51639, 50833, 51144, 50855, 51153, 52938, 58432, 51107, 67081, 51375, 51238, 52489, 51379, 51648, 51116, 52237, 58610, 51812, 51805, 54166, 51308, 50855, 51275, 50833, 51512, 54845, 50840, 63441, 51048, 51395, 50889, 51963, 51091, 52099, 51294, 52343, 58610, 52715, 54507, 64874, 51308, 52938, 64729, 51979, 50827, 52436, 53901, 51979, 50901, 52436, 50901, 52833, 50905, 52237, 51203, 51099, 50937, 51308, 50937, 51275, 57564, 53451, 51805, 50808, 51361, 55782, 51979, 50867, 52436, 50862, 53786, 50857, 51099, 50841, 51308, 50841, 51639, 53116, 51979, 50959, 52436, 50925, 53493, 50942, 52343, 51043, 51308, 50855, 65299, 51099, 53303, 52715, 54400, 51979, 50959, 52436, 50942, 53786, 50854, 51639, 50833, 64874, 51308, 52938, 53688, 51979, 50810, 52436, 50833, 52833, 50810, 52237, 51043, 64874, 51308, 50855, 51275, 53303, 53451, 51805, 52643, 51979, 50822, 52380, 50844, 52608, 50862, 51561, 50855, 64874, 51153, 52938, 50840, 50799, 52608, 50959, 51979, 51058, 52436, 50866, 52343, 51101, 51561, 50925, 51099, 50937, 51308, 57564, 51805, 71417, 53548, 70727, 50827, 51088, 51346, 51395, 51238, 51963, 50980, 52099, 51160, 52182, 51480, 52161, 51025, 52343, 50915, 51099, 51221, 51639, 68871, 53451, 51805, 50808, 51361, 53813, 51375, 51215, 51395, 51215, 52489, 51500, 52099, 51160, 53320, 51203, 52161, 51255, 51632, 50915, 51512, 51377, 51639, 70811, 52715, 63038, 70727, 50867, 51180, 53688, 70727, 50862, 51165, 50967, 51395, 51100, 51906, 51158, 52099, 50967, 52315, 51203, 52161, 51203, 51598, 51203, 51308, 51221, 51639, 70811, 53451, 51805, 54166, 50843, 58693, 51093, 51191, 51395, 51191, 50799, 70727, 50840, 51683, 51091, 52099, 50889, 51752, 51419, 52161, 51419, 52426, 59486, 50860, 51782, 52526, 51538, 50420, 51561, 50855, 59632, 51512, 52873, 52450, 52343, 58610, 66135, 53810, 61090, 50886, 71595, 51375, 50836, 51683, 50808, 52489, 50840, 53320, 50886, 51752, 50886, 51561, 50855, 51512, 50855, 51153, 52873, 52599, 61090, 51218, 51375, 51127, 51093, 51103, 52489, 51623, 51683, 51591, 53320, 52783, 51752, 52015, 52426, 58610, 52715, 54400, 51561, 50855, 59632, 51512, 52873, 53688, 52426, 58610, 66135, 52643, 59632, 51561, 50855, 51512, 52873, 50840, 76310, 70306, 52715, 54507, 59632, 51561, 50855, 51512, 52873, 53548, 70727, 50942, 51093, 51048, 51395, 51112, 51683, 51048, 52099, 51346, 51752, 51411, 52161, 51534, 52343, 58610, 77801, 52559, 51561, 50841, 59632, 51512, 51406, 58566, 51165, 51345, 50438, 51107, 51157, 51906, 51227, 51648, 51157, 51596, 51480, 52315, 51203, 52426, 58610, 52715, 63038, 64008, 57940, 59632, 51561, 50855, 51512, 52873, 53688, 61090, 51008, 51093, 51346, 51375, 51116, 52489, 51112, 51683, 51346, 53320, 51412, 51752, 51412, 52343, 58610, 53451, 51805, 52643, 51561, 50855, 59632, 51512, 52873, 50808, 50799, 57389, 51381, 51088, 51359, 51165, 51036, 51963, 51036, 51906, 51264, 52182, 51313, 52315, 51313, 52237, 53840, 52715, 52734, 51561, 50855, 58444, 51308, 52873, 53548, 52343, 70306, 53451 ]

[ 0, 250, 765, 6, 1372, 15855, 2125, 4246, 41, 21979, 8669, 816, 10, 19448, 33301, 11, 381, 3694, 4, 20, 2214, 34, 10, 2635, 20889, 9, 1510, 13410, 228, 2289, 8, 3905, 10, 33215, 16739, 9, 1918, 6, 3676, 6, 8, 163, 119, 4, 590, 63, 11653, 8, 5679, 26709, 13408, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 657, 8, 36474, 13005, 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 ]

[ 57528, 51131, 76971, 50960, 63229, 50970, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 56039, 51131, 50918, 50440, 50986, 66584, 50998, 51291, 50443, 50947, 51291, 50450, 50675, 50337, 50918, 73934, 76971, 50998, 63229, 50929, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 51161, 50438, 50621, 50947, 56811, 65429, 57528, 51292, 50807, 52012, 54994, 50986, 51631, 61337, 51067, 51736, 56422, 51292, 51646, 57304, 52012, 56027, 56422, 50947, 51798, 50998, 57484, 51923, 56422, 57304, 50799, 72211, 51574, 54994, 51311, 51631, 50998, 57484, 53182, 51311, 51646, 52012, 50918, 50998, 56027, 51574, 51798, 50986, 53312, 57304, 50799, 51292, 51358, 52012, 59047, 51311, 51631, 50986, 51736, 50998, 51646, 50947, 53218, 50947, 51798, 60502, 59737, 50929, 53312, 70858, 50799, 62978, 51444, 59047, 57304, 51032, 51631, 59205, 51067, 51358, 50432, 50947, 51646, 50970, 51918, 50998, 51798, 50960, 51923, 51292, 50800, 50986, 54093, 51563, 50800, 58700, 50807, 51788, 53561, 51032, 52910, 51788, 50795, 51207, 53182, 61830, 51563, 51646, 61351, 51067, 53218, 50970, 51798, 60502, 59737, 50929, 53312, 62978, 50799, 51438, 50795, 71048, 51444, 54994, 51292, 51631, 62978, 50970, 53182, 51032, 51646, 61337, 51725, 50983, 50947, 60865, 50960, 51798, 50986, 53312, 53092, 50795, 57304, 50799, 51292, 51358, 52012, 59047, 51311, 51631, 50986, 51736, 50998, 51646, 50947, 53218, 50947, 51798, 60502, 59737, 50929, 53312, 70858, 50799, 59205, 62978, 51444, 54994, 61675, 51292, 51631, 71048, 51438, 53218, 50622, 51292, 51798, 51067, 51923, 70858, 57528, 57304, 51131, 76971, 50986, 63229, 50998, 51291, 50420, 50947, 51631, 50929, 51736, 50947, 51646, 61662, 51444, 50918, 50440, 51131, 66584, 50960, 51291, 50444, 51067, 51798, 51032, 51923, 62978, 50799, 59498, 51076, 70374, 50960, 51048, 50417, 51078, 58938, 66615, 58352, 50428, 51311, 51048, 50429, 50998, 60847, 50621, 50947, 57269, 52728, 73008, 65429, 57528, 61675, 61830, 51292, 50807, 52012, 56100, 61662, 51076, 51631, 59205, 57304, 51067, 51736, 61337, 63127, 51292, 51646, 51136, 72180, 50947, 51918, 59241, 61662, 50947, 51798, 61728, 50970, 57484, 51923, 56422, 61337, 57304, 73934, 50795, 67674, 72211, 51574, 54994, 75045, 50960, 51631, 61750, 51317, 57484, 53182, 66952, 51317, 51646, 61750, 61728, 52012, 50918, 50998, 56027, 75045, 50960, 51798, 59737, 51317, 53312, 57304, 50799, 51292, 51358, 52012, 56100, 61675, 51076, 51631, 61662, 51064, 51736, 59205, 50947, 51646, 61337, 51169, 51918, 51136, 72180, 50947, 51798, 61337, 63127, 51032, 51923, 59205, 57304, 70858, 50799, 62978, 51078, 50807, 68137, 51444, 59047, 51032, 51631, 59205, 57304, 51067, 62715, 61662, 51064, 51646, 61675, 51076, 51918, 61662, 51064, 51798, 61675, 51076, 51923, 51292, 50800, 63127, 51032, 54093, 51563, 50800, 50799, 51788, 50807, 50970, 54994, 51292, 51631, 79008, 51563, 51736, 51788, 51646, 70344, 51246, 56027, 50947, 51798, 63127, 60502, 51032, 51923, 61675, 62978, 62978, 50799, 59205, 57304, 51438, 50795, 51207, 79767, 61662, 63139, 51292, 51631, 51136, 72180, 51067, 51736, 59241, 61662, 51032, 51646, 61728, 59205, 50947, 60865, 51725, 50795, 50998, 51798, 53092, 50795, 51136, 51923, 53271, 50795, 59241, 57304, 65309, 50918, 51292, 79767, 51311, 51631, 50986, 51736, 50998, 51646, 51169, 53218, 50947, 51798, 59205, 57304, 51032, 51923, 61662, 63139, 70858, 60938, 50795, 61830, 62978, 51444, 54994, 61662, 63139, 51292, 51631, 50970, 62526, 51438, 53218, 50622, 51292, 51798, 51067, 51923, 70858, 57528, 57304, 51131, 76971, 50986, 63229, 50998, 51291, 50420, 50947, 51631, 50929, 51736, 50947, 51646, 59241, 51444, 50918, 50440, 51131, 66584, 50960, 51291, 50443, 51078, 51291, 50444, 50960, 51798, 50986, 51923, 59241, 50799, 69095, 78297, 50807, 51076, 52910, 59498, 62299, 58352, 51076, 52424, 51131, 52728, 59857, 50799, 62299, 52012, 56100, 50929, 50983, 50947, 50983, 51032, 59492, 50960, 51736, 50998, 51646, 51131, 51918, 61750, 50986, 50983, 50998, 50983, 50947, 58624, 51207, 51923, 61750, 50799, 69095, 51574, 54994, 59241, 61662, 51076, 51631, 51207, 53182, 50998, 72180, 51076, 51646, 51574, 50983, 51725, 56027, 53729, 51798, 61777, 53312, 61750, 65309, 79767, 53729, 51631, 61777, 51736, 72960, 51646, 50675, 50337, 56027, 51131, 51798, 50986, 51923, 61337, 60533, 59047, 62299, 51078, 57269, 53182, 61777, 51646, 53729, 51918, 50675, 50339, 51798, 50675, 50337, 51923, 61777, 50800, 53729, 54093, 51563, 50800, 50799, 62768, 51788, 53561, 51032, 51631, 51563, 50795, 62299, 51316, 53182, 51788, 51646, 71890, 51067, 53218, 50970, 51798, 60502, 59737, 51078, 53312, 62978, 50799, 51438, 50795, 62768, 68137, 51207, 54994, 51292, 51631, 62978, 62299, 50929, 53182, 51032, 51646, 51504, 50795, 50947, 50983, 50986, 50918, 50998, 56027, 51574, 51798, 51444, 51923, 51725, 50795, 57304, 50799, 51292, 51358, 52012, 59047, 51311, 51631, 50986, 51736, 50998, 51646, 50947, 53218, 50947, 51798, 60502, 59737, 50929, 53312, 70858, 50799, 59205, 62978, 51444, 59047, 61675, 51292, 51631, 71048, 51438, 53218, 50947, 51798, 60502, 61351, 51078, 53312, 70858, 74080, 57484, 50807, 68137, 51207, 54994, 51292, 51631, 56745, 71048, 51438, 52424, 50622, 50444, 51292, 51798, 51067, 51923, 70858, 57528, 51131, 76971, 50960, 63229, 50970, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 56039, 51131, 50918, 50440, 50986, 66584, 50998, 51291, 50443, 50947, 51291, 50450, 50675, 50337, 50918, 73934, 76971, 50998, 63229, 50929, 51291, 50419, 50947, 51291, 50426, 50675, 50337, 56039, 50947, 68862, 60502, 57448, 51444, 51036, 51067, 51036, 50416, 50986, 64163, 50998, 51036, 50419, 50970, 51605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2635, 12, 20764, 1619, 3495, 2214, 11, 381, 538, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 21979, 9590, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 7630, 6568, 10, 32076, 8, 33558, 5466, 4, 20, 33215, 16739, 9, 381, 6, 381, 12361, 6, 83, 6, 230, 10431, 6, 8, 274, 10431, 119, 3639, 10, 2842, 9, 46336, 30368, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50791, 50883, 51544, 50883, 51570, 50883, 52320, 50883, 50799, 52381, 50942, 58889, 50897, 50935, 50809, 52238, 50809, 60336, 50925, 50418, 57473, 50862, 54294, 71876, 52778, 50855, 52838, 53049, 51489, 50866, 54513, 51100, 50992, 50818, 54294, 56522, 61426, 52461, 50862, 52405, 66855, 52778, 50836, 52838, 55467, 51232, 65675, 50809, 51733, 50942, 50442, 52381, 50844, 52405, 69775, 51489, 50812, 51733, 56060, 51429, 50855, 52070, 50925, 51042, 50818, 51905, 55966, 61807, 51489, 50854, 51733, 61997, 52533, 51359, 51558, 50925, 72722, 51677, 51232, 53588, 51512, 52062, 51429, 53142, 51217, 51161, 52830, 52222, 51375, 53142, 51107, 52151, 51629, 51419, 51544, 50883, 52320, 65493, 51708, 50910, 51847, 51753, 50799, 51789, 51101, 51232, 50866, 67034, 51017, 50995, 61560, 62781, 50415, 51119, 50917, 50422, 52604, 55440, 52156, 67141, 59382, 51686, 54014, 51606, 51043, 79274, 75707, 50439, 51847, 51477, 51144, 51310, 51119, 51218, 51708, 51391, 50446, 52604, 65029, 58596, 52893, 61807, 52156, 53197, 52586, 52893, 61765, 51686, 52784, 52586, 70917, 54079, 51013, 51686, 50866, 52070, 50813, 51578, 50841, 52353, 50855, 51171, 51048, 73420, 50944, 50967, 68650, 51491, 51183, 52553, 52893, 62740, 52070, 50870, 51578, 50829, 52353, 51559, 78893, 52083, 51422, 52070, 50870, 51578, 50839, 52353, 51467, 54953, 51389, 50952, 52070, 50837, 51578, 50828, 52353, 61575, 63538, 62372, 52467, 51135, 52893, 61426, 51216, 50952, 52070, 50825, 51578, 50855, 52353, 53340, 79302, 51273, 50952, 52070, 50813, 51578, 50836, 52353, 53303, 51041, 55379, 51868, 51013, 52070, 50864, 52461, 50829, 52929, 50836, 51506, 51100, 50944, 50917, 74097, 51357, 50943, 52553, 52893, 63895, 52070, 50904, 52461, 50867, 52929, 53111, 51129, 50446, 52070, 50886, 52461, 50841, 52929, 53111, 55038, 51705, 51238, 52070, 50857, 51948, 50855, 52929, 50862, 51506, 50967, 50944, 51178, 50939, 50967, 51125, 51110, 51165, 51162, 61394, 52893, 61807, 52070, 50813, 51948, 50829, 52929, 53340, 73966, 52070, 50820, 51948, 50841, 52929, 52217, 51129, 68515, 51364, 52083, 51101, 52461, 50941, 52353, 50867, 54513, 50857, 51791, 51121, 51042, 57046, 51100, 50944, 50849, 51491, 51103, 52553, 52893, 62740, 52461, 50891, 52353, 50837, 54513, 53111, 78893, 51886, 50878, 52461, 50863, 52353, 50834, 54513, 52873, 54953, 52604, 51101, 52461, 50863, 52353, 50841, 54513, 50836, 51042, 62830, 60590, 52467, 51135, 52893, 61426, 52461, 50863, 52353, 50820, 54513, 52217, 79302, 51705, 50952, 52156, 50810, 52461, 50863, 52353, 50834, 54513, 50855, 51042, 66327, 68015, 54534, 51041, 55379, 51668, 51364, 51565, 50845, 52461, 50863, 52353, 50829, 53519, 50840, 51042, 72098, 50967, 68823, 51088, 51127, 52553, 52893, 63895, 52461, 50863, 52353, 50829, 53519, 52873, 51129, 50446, 51886, 51101, 52461, 50837, 52353, 50820, 53519, 53618, 51041, 55038, 52461, 50837, 52353, 50820, 53519, 50855, 51042, 59495, 58269, 52467, 51135, 52893, 61807, 52604, 50878, 52461, 50837, 52353, 50834, 53519, 52217, 73966, 51705, 50952, 52156, 50878, 52461, 50904, 52353, 50829, 53519, 51464, 51129, 56098, 51364, 52251, 51714, 52461, 50982, 52353, 50870, 52778, 50863, 57473, 50825, 51396, 50795, 51375, 51307, 52553, 52893, 62740, 52461, 51000, 52778, 50834, 57473, 51750, 78893, 52461, 50863, 52778, 50841, 57473, 70247, 51049, 54953, 52461, 50837, 52778, 50841, 57473, 75705, 61658, 52467, 51135, 52893, 61426, 52461, 50863, 52778, 50820, 57473, 51464, 79302, 52659, 50952, 52461, 50863, 52778, 50834, 57473, 53852, 51041, 55379, 51493, 51294, 52461, 50863, 52778, 50839, 57473, 60576, 76153, 63723, 52259, 51041, 52893, 63895, 52461, 50863, 52778, 50834, 57473, 51467, 51129, 50446, 52461, 50837, 52778, 50829, 57473, 65892, 51044, 55038, 52461, 50837, 52778, 50841, 57473, 64073, 74643, 73352, 75294, 52893, 61807, 51668, 50952, 52461, 50837, 52778, 50834, 57473, 52873, 73966, 51984, 50859, 52461, 50837, 52778, 50828, 57473, 51187, 51129, 54389, 51294, 51686, 50845, 51578, 50867, 52929, 50867, 52778, 75096, 50809, 51017, 58131, 50809, 51266, 51242, 51284, 51242, 51905, 51233, 52553, 52893, 62740, 51578, 50904, 52929, 50863, 52778, 51559, 78893, 51686, 50845, 51578, 50863, 52929, 50904, 52778, 53111, 54953, 51578, 50941, 52929, 50864, 52778, 67510, 72248, 61896, 75294, 52893, 61426, 51686, 50813, 51578, 50837, 52929, 50857, 52778, 67510, 50839, 51017, 61658, 51044, 79302, 51216, 50952, 51686, 50810, 51578, 50825, 52929, 50839, 52778, 53852, 51041, 55379, 51868, 51073, 52433, 51134, 52929, 50971, 52778, 50867, 57473, 50857, 51017, 51060, 50868, 56792, 51060, 51905, 50838, 51733, 50845, 52838, 51242, 52553, 52893, 63895, 52929, 50904, 52778, 50857, 57473, 53065, 51129, 50446, 52929, 50904, 52778, 50839, 57473, 53303, 51041, 55038, 51150, 51345, 51837, 50857, 53629, 50813, 53519, 65262, 55501, 55914, 51304, 51277, 51733, 51242, 51926, 56993, 51135, 52893, 61807, 52480, 51101, 51837, 50886, 53629, 50867, 53519, 52873, 73966, 51837, 50857, 53629, 50813, 53519, 51467, 51129, 59000, 51364, 52433, 50845, 52461, 50857, 52353, 50839, 54513, 50836, 51042, 72098, 51060, 50944, 51060, 51558, 51806, 51384, 51199, 52405, 51199, 52553, 52893, 62740, 52461, 50904, 52353, 50829, 54513, 53340, 78893, 51886, 51452, 52461, 50837, 52353, 50834, 54513, 51559, 54953, 52461, 50904, 52353, 50834, 54513, 50862, 51042, 66327, 65535, 54212, 51135, 52893, 61426, 52461, 50863, 52353, 50835, 54513, 53111, 79302, 51668, 50952, 52461, 50825, 52353, 50820, 54513, 50855, 51042, 66327, 68058, 53756, 51041, 55379, 51705, 51073, 52461, 50837, 52353, 50820, 54513, 50862, 51791, 50855, 51600, 51283, 51558, 51477, 51384, 51535, 52553, 52893, 63895, 52461, 50837, 52353, 50834, 54513, 50855, 51042, 53111, 51129, 50446, 52461, 50825, 52353, 50820, 54513, 59162, 52873, 55038, 51668, 51013, 52461, 50835, 52353, 50841, 54513, 68015, 51907, 51135, 52893, 61807, 52433, 51101, 52461, 50835, 52353, 50841, 54513, 59495, 51421, 73966, 52461, 50834, 52353, 50841, 54513, 50855, 51042, 51044, 51129, 56098, 51294, 52604, 50845, 52461, 50863, 52353, 50829, 54513, 60660, 63538, 50809, 51357, 51283, 51107, 51803, 51600, 51452, 52553, 52893, 62740, 52461, 50891, 52353, 50837, 54513, 53111, 78893, 52604, 51397, 52461, 50908, 52353, 50837, 54513, 62626, 63264, 51421, 54953, 52461, 50863, 52353, 50829, 54513, 54617, 51135, 52893, 61426, 52461, 50863, 52353, 50829, 54513, 59760, 63538, 51421, 79302, 51493, 50887, 52461, 50863, 52353, 50835, 54513, 54534, 51041, 55379, 51493, 51013, 52461, 50863, 52353, 50834, 54513, 50834, 72177, 51428, 51041, 52893, 63895, 52461, 50837, 52353, 50829, 54513, 51437, 51129, 50446, 52433, 51134, 52461, 50829, 52353, 50839, 54513, 53618, 51041, 55038, 51668, 51215, 51948, 50825, 52929, 50829, 52709, 67508, 55664, 50795, 51488, 51412, 51201, 51255, 61394, 52893, 61807, 51948, 50837, 52929, 50837, 52709, 51464, 73966, 51493, 50952, 51948, 50825, 52929, 50829, 52709, 51559, 51129, 54389, 51294, 52604, 51047, 51578, 50837, 52929, 50904, 52778, 50862, 51017, 51221, 51113, 51391, 51488, 51542, 51266, 51391, 52553, 52893, 62740, 51578, 50891, 52929, 50863, 52778, 60722, 53710, 78893, 51578, 50837, 52929, 50837, 52778, 58875, 51370, 54953, 51578, 50829, 52929, 50829, 52778, 69268, 54416 ]

[ 0, 250, 2635, 12, 20764, 3495, 2214, 11, 83, 538, 6, 7630, 14805, 10, 19448, 8, 8728, 1619, 5466, 4, 20, 33301, 16, 2584, 30, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 8, 2724, 368, 31365, 25999, 6, 19, 41, 3459, 9590, 1976, 5, 4811, 4, 20, 2125, 3905, 10, 204, 73, 306, 86, 6543, 8, 1575, 10, 33215, 16739, 9, 83, 6, 163, 119, 6, 83, 73, 717, 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 ]

[ 61791, 53028, 71523, 50817, 51570, 50817, 52320, 50817, 52228, 76520, 52491, 67320, 52891, 50930, 50799, 56387, 52500, 52176, 51977, 51708, 51238, 51198, 50991, 51494, 51215, 53722, 53241, 51944, 51167, 51440, 51160, 51669, 51167, 52228, 50880, 51171, 63430, 66801, 51158, 50850, 50980, 50418, 53880, 51661, 51171, 52734, 50848, 60853, 51171, 68907, 51708, 51124, 51847, 51238, 51232, 50991, 51660, 50858, 51440, 50821, 52361, 50821, 51017, 65102, 51175, 50850, 51227, 50430, 51171, 52559, 51017, 60085, 51171, 52322, 51708, 51111, 52040, 51060, 51198, 51111, 51434, 50893, 51440, 51192, 52043, 63031, 54190, 53006, 51238, 50442, 51171, 63322, 50868, 57993, 53880, 51031, 57137, 50448, 52176, 51203, 50868, 53886, 51708, 50879, 51198, 51173, 51494, 51158, 51944, 50948, 51440, 50936, 51669, 50948, 52228, 50950, 51171, 51173, 50848, 63979, 50952, 50850, 51227, 50454, 52491, 59709, 57939, 50944, 57459, 52891, 50930, 51171, 50940, 50799, 58001, 51696, 52533, 51173, 52040, 51227, 51232, 51235, 51099, 51235, 55243, 54055, 51434, 51167, 51808, 51379, 52043, 51192, 52491, 51870, 51217, 51167, 50868, 60877, 51238, 50418, 50868, 52734, 50847, 60853, 52533, 51417, 50868, 61083, 51217, 63447, 52040, 50967, 51561, 51060, 51494, 51215, 51944, 50879, 51808, 50806, 52603, 61613, 66275, 50830, 50935, 51238, 50430, 50979, 54372, 50944, 57307, 51217, 77486, 52040, 51238, 51494, 51235, 51119, 51235, 51440, 51192, 51808, 51286, 53335, 60338, 61267, 50921, 50935, 51238, 50442, 50944, 51820, 50850, 61094, 54727, 50949, 51217, 73079, 52040, 51158, 51232, 51173, 75916, 51434, 50806, 51808, 50911, 52043, 50806, 52491, 61458, 59262, 65714, 51158, 50454, 52891, 78341, 57313, 50847, 57459, 52533, 50825, 51979, 50880, 51217, 50830, 67094, 51343, 51869, 51095, 51198, 50991, 51232, 51215, 52806, 53241, 51434, 51215, 51440, 51167, 51669, 51175, 52891, 51483, 50946, 51158, 50850, 50940, 50418, 50848, 51835, 50850, 50936, 50422, 52491, 51226, 50946, 77224, 51869, 51116, 51847, 51215, 51232, 51215, 51434, 51175, 51440, 51379, 52361, 51167, 51017, 50910, 50850, 65744, 51017, 62108, 52537, 51562, 50946, 65294, 51869, 51194, 52040, 51177, 51198, 51178, 51434, 50893, 51808, 66763, 69855, 65292, 51073, 50442, 51042, 50910, 57403, 70894, 53880, 50949, 50946, 51173, 50448, 51042, 53533, 51869, 50938, 51847, 50865, 51232, 50865, 51434, 50893, 51440, 51192, 52361, 51173, 52891, 51045, 51017, 50940, 50868, 78560, 51060, 50454, 52172, 50962, 50946, 51754, 51017, 58839, 52891, 50930, 50946, 50940, 50460, 52491, 50828, 50799, 56387, 52536, 52176, 50948, 51708, 50991, 51198, 51238, 51494, 51238, 53722, 51469, 51944, 51173, 51440, 51167, 51669, 51173, 52228, 51551, 51171, 51343, 50848, 76767, 50940, 50418, 50848, 54681, 50944, 59432, 52176, 51162, 50850, 54818, 51708, 51112, 51847, 51238, 51232, 51235, 51660, 51175, 51440, 51167, 52361, 51167, 51017, 60709, 78560, 50948, 50430, 51017, 54372, 50868, 62108, 52176, 51025, 51171, 63418, 51708, 51175, 52040, 51192, 51198, 51173, 51434, 51173, 51440, 51286, 52043, 51192, 50868, 59262, 50952, 50850, 50924, 50442, 50868, 52711, 50847, 57225, 52176, 51203, 53880, 51010, 50868, 61190, 51171, 56812, 53483, 50795, 51708, 50805, 51198, 50879, 51944, 51566, 51440, 51454, 51669, 51055, 52228, 60874, 63979, 66857, 51158, 50454, 50848, 57939, 52491, 50930, 50944, 58839, 52891, 50962, 50946, 50921, 62404, 51496, 51708, 50821, 51198, 50948, 51494, 51030, 53722, 50961, 51944, 51167, 51440, 51160, 51669, 51167, 52228, 50950, 51171, 51496, 50848, 60728, 51460, 50418, 51119, 50806, 53880, 52311, 67653, 58741, 51708, 76800, 68712, 50946, 53244, 51847, 51192, 51232, 51167, 51119, 50836, 51660, 50858, 51440, 50821, 52361, 50821, 51017, 79396, 50948, 50430, 51119, 50940, 50946, 54372, 51017, 58877, 52176, 51112, 51171, 51290, 50436, 50946, 58818, 52040, 51175, 51198, 51167, 51434, 50893, 51440, 51192, 52043, 63031, 50948, 50847, 50806, 50442, 51119, 73564, 60204, 50868, 57225, 52176, 51235, 53880, 50811, 51171, 51175, 50448, 50946, 51757, 51708, 50806, 51198, 51192, 51494, 51192, 51944, 50948, 51440, 50936, 51669, 50948, 52228, 51045, 50848, 72031, 50980, 50452, 50946, 51060, 50454, 51119, 50858, 52491, 50882, 51171, 54418, 50848, 69085, 52176, 50818, 52891, 50962, 51171, 50830, 69935, 51552, 52040, 50858, 51232, 51030, 51099, 51030, 55243, 54055, 51434, 51167, 51808, 51379, 52043, 51192, 52491, 51009, 51217, 51173, 77301, 50868, 50940, 50847, 50940, 50418, 52040, 50924, 51042, 52734, 50868, 73489, 51232, 50884, 51217, 51566, 50424, 51042, 58798, 52040, 50795, 51561, 51173, 51494, 51192, 51944, 50879, 51808, 50806, 52603, 61613, 50948, 50944, 51192, 50430, 51429, 50952, 51042, 59099, 50979, 58877, 52533, 52195, 51217, 51055, 50436, 51042, 58818, 52040, 50859, 51494, 50936, 51119, 50936, 51440, 51192, 51808, 51286, 53335, 60338, 65396, 50948, 50442, 52040, 50865, 51042, 60021, 50944, 57225, 51494, 50884, 54727, 51031, 51217, 51160, 50448, 51042, 55178, 52040, 50894, 51232, 50802, 51099, 50923, 51434, 50806, 51808, 50911, 52043, 50806, 52491, 61458, 50936, 50847, 51167, 50454, 52040, 50812, 52891, 50894, 51042, 52643, 50868, 58839, 52533, 50809, 51979, 50930, 51217, 50910, 67094, 52282, 51869, 50800, 51198, 51215, 51232, 50879, 52806, 53241, 51434, 51215, 51440, 51167, 51669, 51175, 52891, 50976, 50848, 50940, 50868, 56491, 50936, 50418, 51869, 50897, 50946, 50948, 58082, 65291, 51232, 50809, 52491, 51761, 50868, 72417, 50946, 72104, 51869, 50800, 51847, 51175, 51232, 51215, 51434, 51175, 51440, 51379, 52361, 51167, 51017, 60709, 66857, 50948, 50430, 51869, 50925, 51017, 54372, 50868, 62108, 50946, 50911, 50436, 51042, 54233, 52040, 50893, 51198, 50893, 51434, 50893, 51808, 56747, 56548, 51173, 50442, 51099, 50952, 50946, 60492, 51042, 70292, 52537, 51235, 52040, 50839, 53880, 64063, 71480, 50946, 58631, 51708, 51215, 51847, 51167, 51232, 51175, 51434, 50893, 51440, 51192, 52361, 51173, 52891, 51045, 51017, 50940, 50868, 51286, 50850, 51379, 50454, 79408, 52172, 50962, 50946, 54663, 51017, 59672, 52537, 50809, 52891, 51010, 50946, 50940, 50460, 52491, 50818, 55858, 50818, 52176, 51566, 51708, 50808, 51198, 50865, 51494, 50924, 50927, 51527, 53722, 51167, 52806, 51173, 51944, 51173, 51669, 51175, 52371, 51196, 51251, 51336, 52228, 51527, 51171, 51226, 51007, 50893, 50418, 51708, 65761, 53113, 50944, 51290, 50422, 51198, 50841, 52806, 50812, 51944, 65968, 55341, 69773, 76437, 51275, 50880, 51944, 50890, 51669, 50880, 51007, 51379, 50430, 51198, 50887, 51275, 50930, 51944, 50840, 51171, 62798, 52359, 50944, 65604, 52176, 50809, 53722, 50836, 51171, 50940, 51450, 53479, 53498, 50841, 51869, 51286, 51099, 50858, 51429, 50858, 78157, 50953, 51527, 52769, 50806, 51434, 50936, 51808, 50911, 51669, 50911, 51699, 51196, 51088, 51077, 51182, 51356, 50988, 63430, 57753, 51175, 50935, 51175, 50442, 50798, 52572, 50818, 76009, 51516, 50839, 50988, 54815, 74363, 50446, 58863, 50884, 51099, 50895, 51516, 50961, 52769, 51173, 51434, 50809, 51979, 76059, 50936, 51555, 50894, 50448, 50847, 55149, 59938, 50895, 51099, 50962, 51516, 51010, 51434, 51167, 52257, 51454, 53625, 78942, 51388, 52075, 50882, 50452, 50988, 50940, 50454, 56150, 50895, 51099, 50887, 52769, 51192, 53625, 67206, 50924 ]

[ 0, 250, 15855, 19834, 15229, 11, 272, 3694, 6, 7630, 14805, 10, 25306, 5466, 19, 63, 9066, 8, 5386, 23225, 4, 20, 6755, 12547, 6, 326, 5638, 18026, 6, 2342, 4467, 6, 20535, 2810, 6, 8, 17465, 102, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 2351, 10, 1472, 9, 814, 8, 15073, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 8, 1375, 23, 10, 7212, 20889, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 83, 6, 211, 6, 83, 6, 211, 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 ]

[ 51034, 50629, 50665, 50330, 51203, 50415, 61462, 54270, 60165, 51199, 50425, 68919, 74989, 55839, 51484, 50437, 76215, 51253, 50438, 59454, 51806, 50449, 66346, 51480, 51018, 50425, 50665, 50330, 51411, 60165, 68428, 51886, 56615, 50437, 68919, 51363, 51565, 52056, 55839, 51775, 50448, 76215, 51312, 50449, 51686, 55765, 59454, 51709, 51018, 50425, 66346, 51412, 51596, 53697, 50436, 51384, 55856, 50437, 53339, 50942, 51886, 55574, 60165, 51480, 50438, 50665, 50330, 51203, 50443, 52196, 59433, 51946, 51115, 51565, 52056, 55839, 51480, 51034, 68919, 51233, 50425, 59454, 58187, 76215, 51203, 51686, 55574, 50432, 52196, 59948, 66346, 51412, 53339, 50905, 51596, 52025, 50443, 51836, 64827, 52601, 51145, 51034, 50665, 50330, 51412, 51886, 52056, 60165, 78804, 68919, 51203, 51565, 52056, 55839, 51380, 50437, 76215, 51253, 51686, 52996, 50438, 54012, 50942, 59454, 51380, 50443, 57570, 50878, 50449, 66346, 51775, 53883, 51267, 51596, 52011, 51018, 50425, 50665, 50330, 74989, 57570, 51221, 60165, 51411, 50427, 51886, 61211, 50437, 68919, 51363, 54012, 51255, 50438, 51565, 52378, 55839, 51775, 50449, 76215, 51253, 52601, 51145, 51686, 52056, 59454, 51380, 51018, 50424, 51596, 53674, 50425, 66346, 51337, 50437, 50665, 50330, 51534, 50438, 54012, 50854, 60165, 51775, 50439, 51886, 52996, 50443, 57570, 50942, 50449, 68919, 51363, 55839, 51484, 51034, 53883, 51377, 51565, 52056, 50425, 76215, 51233, 57570, 51109, 51686, 64396, 59454, 51097, 50437, 66346, 51480, 54012, 51400, 51596, 53697, 50449, 50665, 50330, 51480, 51886, 52618, 51034, 52601, 51025, 60165, 52056, 50425, 68919, 51411, 54012, 66038, 51565, 52048, 55839, 51484, 50437, 76215, 51312, 51686, 54344, 59454, 74048, 57570, 51025, 50449, 51596, 52397, 51034, 66346, 51480, 53883, 77399, 50665, 50330, 51480, 52601, 51363, 51886, 51466, 60165, 51775, 50437, 68919, 51412, 51836, 51480, 55839, 51775, 50438, 51565, 63532, 50449, 76215, 51380, 53339, 51477, 51686, 52996, 51034, 59454, 51253, 50425, 66346, 51534, 51596, 53838, 50437, 50665, 50330, 51412, 53339, 50925, 51866, 50874, 51886, 52056, 50438, 60165, 51199, 50443, 52196, 50874, 52384, 50959, 50449, 68919, 51411, 51946, 51391, 52058, 51381, 51565, 52996, 51034, 55839, 51480, 50425, 76215, 51312, 51686, 51738, 50426, 59454, 51480, 50430, 52384, 51006, 50431, 52196, 68522, 53339, 50866, 51866, 51058, 51596, 52397, 50437, 66346, 51412, 50442, 51836, 79174, 52148, 51051, 50448, 52601, 51183, 53084, 51627, 51886, 52618, 50449, 60165, 51097, 51034, 50665, 50330, 51203, 50425, 68919, 51411, 51565, 52048, 55839, 50932, 50437, 76215, 51253, 54012, 50878, 51866, 51008, 51686, 53697, 59454, 51380, 50443, 57570, 50810, 52148, 75553, 51596, 51466, 50449, 66346, 51480, 53883, 51267, 53084, 51775, 51018, 50425, 50665, 50330, 51411, 57570, 51363, 52148, 51199, 51886, 53957, 50426, 60165, 51775, 50437, 68919, 51363, 54012, 51363, 51866, 51480, 51565, 52378, 55839, 51380, 50448, 76215, 51312, 51686, 51738, 50449, 52601, 51535, 52698, 52598, 59454, 51253, 51018, 50424, 51596, 53697, 50425, 66346, 51412, 50437, 51866, 50933, 51886, 55574, 50438, 50665, 50330, 51203, 54012, 50878, 60165, 51253, 50443, 52148, 63280, 57570, 64827, 53084, 51199, 51034, 68919, 51233, 53883, 51025, 51565, 52996, 55839, 51775, 50426, 76215, 51203, 57570, 51203, 52148, 51775, 51686, 51738, 59454, 51199, 50437, 66346, 51412, 50438, 54012, 51025, 51866, 51380, 50439, 51596, 55574, 50449, 51886, 53838, 51034, 50665, 50330, 51412, 52601, 51312, 52698, 51484, 60165, 51775, 50426, 68919, 51203, 54012, 51411, 51866, 51172, 55839, 51480, 50427, 51565, 56615, 50437, 76215, 51253, 57570, 51480, 52148, 51480, 50438, 51686, 51738, 59454, 51380, 50449, 66346, 51775, 53084, 51411, 51596, 52397, 51034, 53883, 51025, 50425, 50665, 50330, 51411, 52698, 51199, 51886, 75674, 52601, 51255, 60165, 51645, 50437, 68919, 51363, 51836, 51411, 52384, 51172, 51565, 53957, 55839, 51534, 50448, 52058, 51749, 51686, 53697, 50449, 76215, 51253, 53339, 51448, 59454, 51380, 51018, 50424, 51596, 52618, 50425, 66346, 51337, 50436, 51866, 80249, 50665, 50330, 51534, 53339, 50812, 51886, 55197, 60165, 51775, 50442, 52384, 51051, 50443, 52196, 64913, 68919, 51363, 52058, 51477, 55839, 51480, 51034, 51946, 51419, 51565, 61211, 50424, 51686, 52378, 50425, 76215, 51233, 59454, 51380, 50431, 52196, 50833, 52384, 56149, 51596, 52025, 50437, 66346, 51480, 53339, 50897, 51866, 51008, 50443, 51836, 50874, 52148, 75553, 51886, 52025, 50449, 50665, 50330, 51480, 52601, 51446, 53084, 51627, 60165, 51380, 51018, 50425, 68919, 51411, 51565, 52048, 55839, 51253, 50436, 51686, 51466, 50437, 76215, 51312, 53883, 50833, 53084, 50897, 59454, 51253, 50443, 57570, 50833, 52148, 50959, 50449, 54012, 51295, 51866, 51542, 51596, 61887, 51034, 66346, 51480, 50425, 51886, 51806, 60165, 51709, 50426, 50665, 50330, 51480, 50431, 57570, 50810, 52148, 74029, 68919, 51412, 53883, 50878, 53084, 50959, 55839, 51412, 50438, 51565, 52048, 50443, 56065, 50897, 52194, 51008, 50448, 51686, 52011, 50449, 76215, 51380, 52488, 51397, 59454, 51253, 51034, 61249, 51472, 50425, 66346, 51534, 50426, 51596, 56123, 50437, 50665, 50330, 51412, 56065, 51377, 52194, 59290, 51886, 56615, 60165, 51775, 50449, 68919, 51411, 53883, 50807, 53084, 51363, 51034, 51565, 52048, 55839, 51480, 50425, 76215, 51312, 52148, 51411, 51686, 52048, 50426, 57570, 51238, 59454, 51480, 50437, 66346, 51412, 54012, 51411, 51866, 51480, 51596, 55765, 50449, 52601, 51377, 52698, 51484, 51886, 61211, 51034, 50665, 50330, 51203, 60165, 51199, 50425, 68919, 51411, 51866, 51775, 51565, 51738, 55839, 51312, 50426, 54012, 51203, 50436, 51686, 51466, 50437, 76215, 51253, 57570, 51203, 52148, 72652, 59454, 51380, 50449, 66346, 51480, 53084, 51480, 51596, 54344, 51034, 53883, 51377, 50425, 50665, 50330, 51411, 52698, 51411, 51886, 52048, 50426, 52601, 51255, 60165, 51775, 50437, 68919, 51363, 52384, 51253, 51565, 53957, 50438, 51836, 51025, 55839, 51480, 50448, 76215, 51312, 51686, 52011, 50449, 52058, 51677, 51034, 59454, 51380, 50415, 53339, 51518, 50425, 66346, 51412, 50426, 51596, 54344, 50437, 51886, 52048, 50438, 50665, 50330, 51203, 60165, 51484, 50449, 51565, 51738, 51034, 68919, 51233, 55839, 51775, 50426, 76215, 51203, 51686, 51333, 59454, 51199, 50437, 66346, 51412, 50438, 51596, 55584, 51034, 52991, 50991, 52991, 51162, 60165, 58326, 51776, 51025, 51776, 51112, 55839, 51480, 50438, 52002, 51345, 52002, 51267, 59454, 51380, 51034, 51648, 51255, 51648, 51162, 50425, 60165, 78804, 52991, 51255, 52991, 69205, 51776, 51400, 51776, 51345, 55839, 51775, 51034, 52002, 51346, 52002, 51056, 59454, 78804, 51648, 51400, 51648, 51162, 50437, 60165, 51709, 50438, 52991, 51162, 52991, 51159, 51034, 51776, 51377, 51776, 51377, 55839, 78804, 52002, 51267, 52002, 51056, 59454, 51253, 50438, 51648, 51101, 51648, 51255, 50449, 56065, 50810, 53572, 50810, 52002, 50854, 51113, 50921, 51034, 52991, 56624, 58047, 50810, 53192, 50810, 52366, 50836, 54348, 50867, 51165, 59723, 51357, 51033, 50421, 61249, 50833, 55495, 50800, 54409, 61359, 53170, 58067, 53459, 51159, 51093, 52250, 57088, 50995, 51140, 78042, 50665, 50328, 51145, 51836, 51267, 57849, 51400, 52194, 51312, 52306, 51162, 54822, 67251, 51183, 51553, 51183 ]

[ 0, 250, 20902, 3152, 8, 5175, 24904, 6, 42, 2214, 22750, 1626, 11098, 8, 1007, 4, 20, 13602, 6757, 1239, 5, 483, 6, 2800, 30, 2382, 8, 3459, 29589, 6, 9590, 6, 8, 21072, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 18461, 163, 5683, 4, 20, 33215, 16739, 9, 163, 119, 6, 230, 401, 6, 8, 272, 3639, 7, 63, 14899, 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, 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, 51133, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 51189, 51209, 51189, 51011, 50914, 52796, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 72910, 50849, 51209, 50849, 50945, 50914, 52796, 53834, 51508, 53113, 51020, 50849, 51209, 50849, 52796, 52808, 52422, 51089, 50849, 51366, 50849, 51011, 50914, 53281, 50849, 71222, 51508, 52686, 51061, 51189, 51023, 51189, 51256, 51189, 51229, 51189, 52592, 51189, 52898, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51089, 50914, 51020, 50914, 51366, 50914, 51209, 50914, 51415, 50914, 53281, 50914, 52796, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 50914, 51209, 50914, 51011, 50914, 52796, 56001, 63421, 51180, 53153, 51089, 50849, 51366, 50849, 50953, 50914, 53281, 50849, 71222, 51508, 52935, 51083, 50849, 51322, 50849, 52451, 55163, 50821, 67063, 50849, 51322, 50849, 50945, 50914, 52451, 53834, 51508, 53113, 51118, 50849, 51451, 50849, 52892, 52808, 52422, 51118, 50849, 51451, 50849, 51011, 50914, 52892, 50849, 71222, 51508, 52686, 51118, 51189, 51451, 51189, 52892, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51415, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 51189, 51209, 51189, 51011, 50914, 52796, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 72910, 50849, 51209, 50849, 50945, 50914, 52796, 53834, 51508, 53113, 51020, 50849, 51209, 50849, 52796, 52808, 52422, 51089, 50849, 51366, 50849, 51011, 50914, 53281, 50849, 71222, 51508, 52686, 51061, 51189, 51023, 51189, 51256, 51189, 51229, 51189, 52592, 51189, 52898, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51089, 50914, 51020, 50914, 51366, 50914, 51209, 50914, 51415, 50914, 53281, 50914, 52796, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 51508, 53113, 51118, 50849, 51451, 50849, 52892, 52808, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 50914, 51209, 50914, 51011, 50914, 52796, 56001, 63421, 51180, 53153, 51089, 50849, 51366, 50849, 50953, 50914, 53281, 50849, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 67063, 50849, 51322, 50849, 50945, 50914, 52451, 53834, 51508, 53113, 51118, 50914, 51451, 50914, 52892, 55859, 52422, 51011, 50914, 71222, 51508, 52686, 51118, 51591, 51451, 51591, 52892, 51591, 50791, 52877, 51186, 56001, 63421, 51180, 53153, 51415, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 50914, 52592, 55234, 63421, 50416, 52796, 58671, 52898, 68162, 53125, 54657, 54096, 53352, 63421, 50422, 53648, 55946, 54867, 54345, 68057, 55517, 53425, 51023, 50849, 51229, 50849, 51186, 50914, 52898, 50849, 52060, 55104, 51326, 52686, 51092, 50849, 51334, 50849, 54096, 53834, 51508, 52877, 51092, 51189, 51334, 51189, 51011, 50914, 54096, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51023, 50849, 51229, 50849, 52898, 55163, 50821, 70973, 50849, 51092, 50849, 51229, 50849, 51334, 50849, 50945, 50914, 52898, 50849, 54096, 53834, 51508, 53113, 51023, 50914, 51092, 50914, 51229, 50914, 51334, 50914, 52898, 50914, 54096, 55859, 52422, 51011, 50914, 71222, 51508, 52686, 51193, 51189, 51185, 51189, 51408, 51189, 51390, 51189, 53125, 51189, 53648, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51023, 50849, 51092, 50849, 51229, 50849, 51334, 50849, 51415, 50914, 52898, 50849, 54096, 50849, 71222, 51508, 52935, 51118, 50849, 51451, 50849, 52892, 55163, 50821, 70973, 50849, 51229, 50849, 51133, 50914, 52898, 53834, 51508, 53113, 51092, 50849, 51334, 50849, 54096, 52808, 52422, 51092, 50849, 51334, 50849, 51186, 50914, 54096, 50849, 71222, 51508, 52686, 51023, 50849, 51229, 50849, 52898, 52808, 52877, 51023, 50849, 51229, 50849, 51011, 50914, 52898, 53834, 51508, 53247, 51023, 50849, 51229, 50849, 52898, 52808, 53153, 51020, 50849, 51209, 50849, 50953, 50914, 52796, 50849, 71222, 51508, 52935, 51023, 50849, 51229, 50849, 52898, 55163, 50821, 67063, 77447, 50849, 51322, 50849, 51209, 50849, 50945, 50914, 52451, 50849, 52796, 53834, 51508, 53113, 51083, 50914, 51061, 50914, 51322, 50914, 51256, 50914, 52451, 50914, 52592, 55859, 52422, 51011, 50914, 71222, 51508, 52686, 51118, 51189, 51061, 51189, 51451, 51189, 51256, 51189, 52892, 51189, 52592, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51415, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 56001, 63421, 51039, 52422, 51089, 50849, 51366, 50849, 51186, 50914, 53281, 50849, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 51189, 51209, 51189, 51011, 50914, 52796, 51189, 57207, 67799, 53153, 50953, 50914, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 72910, 50849, 51209, 50849, 50945, 50914, 52796, 53834, 51508, 53113, 51020, 50849, 51209, 50849, 52796, 52808, 52422, 51089, 50849, 51366, 50849, 51011, 50914, 53281, 50849, 71222, 51508, 52686, 51061, 51189, 51023, 51189, 51256, 51189, 51229, 51189, 52592, 51189, 52898, 67425, 52877, 51186, 56001, 63421, 51180, 53153, 51089, 77447, 50849, 51366, 50849, 51209, 50849, 51415, 50914, 53281, 50849, 52796, 50849, 71222, 51508, 52935, 51118, 50849, 51451, 50849, 52892, 55163, 50821, 79361, 50849, 51366, 50849, 51133, 50914, 53281, 53834, 51508, 53113, 51020, 50914, 51209, 50914, 52796, 55859, 52422, 51186, 50914, 71222, 51508, 52686, 51020, 50849, 51209, 50849, 52796, 52808, 52877, 51020, 50849, 51209, 50849, 51011, 50914, 52796, 53834, 51508, 53247, 51020, 50849, 51209, 50849, 52796, 52808, 53153, 51118, 50849, 51451, 50849, 50953, 50914, 52892, 50849, 71222, 51508, 52935, 51089, 50849, 51366, 50849, 53281, 55163, 50821, 67063, 50849, 51322, 50849, 50945, 50914, 52451, 53834, 51508, 53113, 51118, 50849, 51451, 50849, 52892, 52808, 52422, 51118, 50849, 51451, 50849, 51011, 50914, 52892, 50849, 71222, 51508, 52686, 51118, 50914, 51451, 50914, 52892, 55859, 52877, 51186, 56001, 51508, 53247, 51020, 50849, 51209, 50849, 52796, 52808, 53153, 51020, 50914, 51209, 50914, 51415, 50914, 52796, 50914, 71222, 51508, 52935, 50852, 50821, 54272, 50914, 71222, 51041, 50821, 63311, 59630, 51456, 64941, 51456, 54658, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 54921, 50849, 52592, 50974, 52796, 52808, 65209, 53939, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 51186, 50914, 54921, 50849, 52592, 50974, 52796, 50849, 71222, 51508, 52686, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 54921, 50849, 52592, 50974, 52796, 52808, 52877, 51595, 50914, 51020, 50914, 51912, 50914, 51209, 50914, 51011, 50914, 54921, 50914, 52592, 51097, 52796, 56001, 63421, 51180, 53153, 51595, 77447, 50849, 51912, 50849, 51209, 50849, 50953, 50914, 54921, 50849, 52592, 50974, 52796, 50849, 71222, 51508 ]

[ 0, 250, 33928, 3495, 1619, 2214, 4246, 41, 21979, 8669, 816, 5, 1049, 33301, 6, 7513, 30, 21072, 6, 21979, 9590, 6, 8, 1076, 560, 31365, 25999, 4, 20, 2125, 16, 11, 83, 3694, 8, 11498, 10, 2635, 20889, 9, 7004, 13410, 228, 2289, 11, 204, 73, 306, 86, 4, 20, 33215, 16739, 9, 230, 6, 3676, 6, 1918, 6, 8, 272, 16, 5705, 6636, 1328, 5, 2214, 6, 2351, 10, 2950, 8, 17627, 17274, 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 ]

[ 57448, 50415, 50635, 50796, 50461, 50872, 51178, 66474, 51178, 50947, 51178, 50415, 51032, 51423, 51438, 51753, 50422, 61466, 51438, 51365, 51032, 51210, 50947, 67724, 50970, 52921, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 51965, 50434, 51257, 50981, 50446, 77453, 51438, 51142, 51032, 51142, 50947, 73311, 50970, 54004, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 51277, 50458, 51438, 51051, 51032, 51210, 50947, 67419, 64207, 50461, 50868, 51178, 69146, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 52063, 50422, 61302, 51292, 51142, 51032, 51142, 50947, 67724, 50998, 52654, 50909, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 51637, 50434, 51149, 50932, 50446, 77558, 51292, 50933, 51032, 51051, 50947, 76173, 50998, 53567, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 51753, 50458, 51292, 51365, 51032, 51051, 50947, 62908, 50998, 61145, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 52063, 50422, 59081, 51067, 50933, 79504, 50970, 71662, 50960, 52580, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 51965, 50434, 51007, 51097, 50446, 61466, 51067, 51210, 50947, 51008, 50970, 76791, 50960, 52843, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 51481, 50458, 51067, 51142, 79504, 50970, 62908, 62326, 50461, 50868, 51178, 69146, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51277, 50422, 64957, 51563, 51365, 51032, 51142, 50929, 66401, 50998, 52921, 50909, 51178, 50998, 51417, 50929, 51417, 51032, 51749, 50427, 51563, 51965, 50434, 74452, 50446, 69197, 51563, 51142, 51032, 51142, 50929, 76791, 50998, 54004, 61983, 50998, 51178, 50929, 51178, 51032, 51423, 50451, 51563, 51277, 50458, 51563, 51142, 51032, 51142, 50929, 71434, 50998, 61145, 50872, 51178, 66474, 51178, 50947, 51178, 51032, 51423, 50415, 51438, 51277, 50422, 67071, 51438, 51142, 51032, 51142, 50947, 67724, 50970, 52654, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 52136, 50434, 51257, 50995, 50446, 69197, 51438, 51142, 51032, 51051, 50947, 64043, 50970, 52843, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 52063, 50458, 51438, 51210, 51032, 50933, 50947, 65264, 64207, 50461, 50868, 51178, 69146, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 51481, 50422, 61466, 51292, 51142, 51032, 50933, 50947, 71662, 50998, 52580, 50909, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 51965, 50434, 74452, 50446, 77558, 51292, 51210, 51032, 50933, 50947, 66092, 50998, 52989, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 51884, 50458, 51292, 50933, 51032, 51142, 50947, 62908, 59664, 50461, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 51481, 50422, 61375, 51067, 50933, 79504, 50970, 60988, 50960, 52921, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 52136, 50434, 51007, 50932, 50446, 66214, 51067, 51210, 50947, 50959, 50970, 73311, 50960, 52989, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 52063, 50458, 51067, 51365, 50947, 50959, 50970, 71434, 62326, 50461, 50868, 51178, 69146, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51277, 50422, 59629, 51563, 51365, 51032, 51142, 50929, 60988, 50998, 53450, 50909, 51178, 50998, 51417, 50929, 51417, 51032, 51749, 50427, 51563, 51637, 50434, 51149, 50981, 50446, 66664, 51563, 51210, 51032, 51142, 50929, 73311, 50998, 54385, 61983, 50998, 51178, 50929, 51178, 51032, 51423, 50451, 51563, 51481, 50458, 51563, 50933, 51032, 51051, 50929, 71434, 50998, 61145, 50872, 51178, 66474, 51178, 50947, 51178, 51032, 51423, 50415, 51438, 51884, 50422, 61466, 51438, 50933, 51032, 50933, 50947, 66401, 50970, 53450, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 52136, 50434, 51831, 50830, 51257, 56692, 51667, 51177, 50446, 51643, 61056, 50933, 51438, 51142, 51032, 51365, 50947, 76791, 50970, 54385, 51667, 51167, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 51753, 50458, 51438, 51365, 51032, 50933, 50947, 71434, 64667, 50461, 50868, 51178, 65755, 51177, 50998, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 51277, 50422, 61302, 51292, 51051, 51032, 51142, 50947, 67724, 50998, 52654, 51667, 59192, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 51965, 50434, 51643, 51661, 74452, 50446, 77453, 51292, 51210, 51032, 51365, 50947, 64043, 50998, 52989, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 52063, 50458, 51292, 51142, 51032, 51142, 50947, 62908, 50998, 61145, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 52063, 50422, 59081, 51067, 51051, 50947, 50959, 50970, 66401, 50960, 52580, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 52519, 50434, 51831, 67479, 56692, 51831, 64201, 51831, 58720, 50878, 51067, 51365, 50947, 50955, 50970, 73311, 50960, 54385, 51831, 51215, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 51753, 50458, 51652, 50940, 51067, 51142, 79504, 50970, 65264, 50960, 62800, 50868, 51178, 75799, 50889, 50998, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51753, 50422, 64957, 51563, 51210, 51032, 51051, 50929, 67724, 50998, 52580, 51652, 61633, 51178, 50998, 51417, 50929, 51417, 51032, 51749, 50427, 51563, 51637, 50434, 51652, 51661, 51149, 50995, 50446, 77453, 51563, 51051, 51032, 51365, 50929, 73311, 50998, 52843, 61983, 50998, 51178, 50929, 51178, 51032, 51423, 50451, 51563, 51481, 50458, 51563, 51210, 51032, 50933, 50929, 67419, 50998, 65922, 50872, 51178, 66474, 51178, 50947, 51178, 51032, 51423, 50415, 51438, 51277, 50422, 61302, 51438, 51365, 51032, 51210, 50947, 66401, 50970, 52654, 50909, 51178, 50970, 51417, 50947, 51417, 51032, 51749, 50427, 51438, 52136, 50434, 51257, 56656, 51667, 51235, 50446, 51643, 64626, 51008, 51438, 51142, 51032, 51142, 50947, 66092, 50970, 54385, 51667, 51603, 59911, 50970, 51178, 50947, 51178, 51032, 51423, 50451, 51438, 52063, 50458, 51438, 51210, 51032, 50933, 50947, 71434, 64667, 50461, 50868, 51178, 65755, 51460, 50998, 51178, 50947, 51178, 51032, 51423, 50415, 51292, 51884, 50422, 61302, 51292, 51142, 51032, 50933, 50947, 71662, 50998, 52921, 51667, 59192, 51178, 50998, 51417, 50947, 51417, 51032, 51749, 50427, 51292, 52136, 50434, 51643, 51196, 51149, 50995, 50446, 77453, 51292, 51210, 51032, 51051, 50947, 73311, 50998, 53140, 59911, 50998, 51178, 50947, 51178, 51032, 51423, 50451, 51292, 51753, 50458, 51292, 51051, 51032, 50933, 50947, 71434, 50998, 65922, 50872, 51178, 61894, 51178, 50970, 51178, 50947, 51178, 50415, 51067, 51277, 50422, 59081, 51067, 51051, 50947, 50959, 50970, 67724, 50960, 53450, 50850, 51178, 50960, 51417, 50970, 51417, 50947, 51417, 50427, 51067, 51965, 50434, 51831, 72580, 57937, 51831, 70089, 51831, 60354, 50933, 51067, 51051, 50947, 51008, 50970, 64043, 50960, 54385, 51831, 51110, 59504, 50960, 51178, 50970, 51178, 50947, 51178, 50451, 51067, 51884, 50458, 51652, 50830, 51067, 51142, 79504, 50970, 62908, 62212, 50461, 50868, 51178, 75799, 51055, 50998, 51178, 50929, 51178, 51032, 51423, 50415, 51563, 51884, 50422, 65078, 51563, 51142, 51032, 51142, 50929, 67724, 50998 ]